Checks that a map really contains a value.
Dataset | Length | Min | Max | Average | Median | Standard Deviation | Factor (Average) | Factor (Median) |
0 | 999 | 0.0000 | 0.0004 | 0.0001 | 0.0000 | 0.0002 | 1.0000 | NaN |
10 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
20 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
30 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
40 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
50 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
60 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
70 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
80 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
90 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
100 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
110 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
120 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
130 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
140 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
150 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
160 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
170 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
180 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
190 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
200 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
210 | 1000 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
220 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
230 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
240 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
250 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
260 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
270 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
280 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
290 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
300 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
310 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
320 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
330 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
340 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
350 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
360 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
370 | 996 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
380 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
390 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
400 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
410 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
420 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
430 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
440 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
450 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
460 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
470 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
480 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
490 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
500 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
510 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
520 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
530 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
540 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
550 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
560 | 1000 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
570 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
580 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
590 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
600 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
610 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
620 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
630 | 1000 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
640 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
650 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
660 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
670 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
680 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
690 | 1000 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
700 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
710 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
720 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
730 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
740 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
750 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
760 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
770 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
780 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
790 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
800 | 996 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
810 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
820 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
830 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
840 | 1000 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
850 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
860 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
870 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
880 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
890 | 1000 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
900 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
910 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
920 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0002 | 0.0002 | 1.0000 | 1.0000 |
930 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
940 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0000 | NaN |
950 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
960 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
970 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
980 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
990 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
1000 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
Input:
0
Output:
false
Input:
10
Output:
true
Input:
20
Output:
true
Input:
30
Output:
true
Input:
40
Output:
true
Input:
50
Output:
true
Input:
60
Output:
true
Input:
70
Output:
true
Input:
80
Output:
true
Input:
90
Output:
true
Input:
100
Output:
true
Input:
110
Output:
true
Input:
120
Output:
true
Input:
130
Output:
true
Input:
140
Output:
true
Input:
150
Output:
true
Input:
160
Output:
true
Input:
170
Output:
true
Input:
180
Output:
true
Input:
190
Output:
true
Input:
200
Output:
true
Input:
210
Output:
true
Input:
220
Output:
true
Input:
230
Output:
true
Input:
240
Output:
true
Input:
250
Output:
true
Input:
260
Output:
true
Input:
270
Output:
true
Input:
280
Output:
true
Input:
290
Output:
true
Input:
300
Output:
true
Input:
310
Output:
true
Input:
320
Output:
true
Input:
330
Output:
true
Input:
340
Output:
true
Input:
350
Output:
true
Input:
360
Output:
true
Input:
370
Output:
true
Input:
380
Output:
true
Input:
390
Output:
true
Input:
400
Output:
true
Input:
410
Output:
true
Input:
420
Output:
true
Input:
430
Output:
true
Input:
440
Output:
true
Input:
450
Output:
true
Input:
460
Output:
true
Input:
470
Output:
true
Input:
480
Output:
true
Input:
490
Output:
true
Input:
500
Output:
true
Input:
510
Output:
true
Input:
520
Output:
true
Input:
530
Output:
true
Input:
540
Output:
true
Input:
550
Output:
true
Input:
560
Output:
true
Input:
570
Output:
true
Input:
580
Output:
true
Input:
590
Output:
true
Input:
600
Output:
true
Input:
610
Output:
true
Input:
620
Output:
true
Input:
630
Output:
true
Input:
640
Output:
true
Input:
650
Output:
true
Input:
660
Output:
true
Input:
670
Output:
true
Input:
680
Output:
true
Input:
690
Output:
true
Input:
700
Output:
true
Input:
710
Output:
true
Input:
720
Output:
true
Input:
730
Output:
true
Input:
740
Output:
true
Input:
750
Output:
true
Input:
760
Output:
true
Input:
770
Output:
true
Input:
780
Output:
true
Input:
790
Output:
true
Input:
800
Output:
true
Input:
810
Output:
true
Input:
820
Output:
true
Input:
830
Output:
true
Input:
840
Output:
true
Input:
850
Output:
true
Input:
860
Output:
true
Input:
870
Output:
true
Input:
880
Output:
true
Input:
890
Output:
true
Input:
900
Output:
true
Input:
910
Output:
true
Input:
920
Output:
true
Input:
930
Output:
true
Input:
940
Output:
true
Input:
950
Output:
true
Input:
960
Output:
true
Input:
970
Output:
true
Input:
980
Output:
true
Input:
990
Output:
true
Input:
1000
Output:
true
The overview over the suite is in chapter Suite Large Immutable Map.
Checks that a map really does not contain a value.
Dataset | Length | Min | Max | Average | Median | Standard Deviation | Factor (Average) | Factor (Median) |
0 | 999 | 0.0000 | 0.0004 | 0.0001 | 0.0000 | 0.0002 | 1.0120 | NaN |
10 | 996 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9034 | NaN |
20 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0084 | NaN |
30 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9905 | NaN |
40 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9749 | NaN |
50 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0490 | NaN |
60 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0524 | NaN |
70 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8360 | 0.0000 |
80 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9470 | 1.0000 |
90 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.8947 | 0.9974 |
100 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8138 | 0.0000 |
110 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9272 | 0.9974 |
120 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9845 | NaN |
130 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9818 | NaN |
140 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0401 | Infinity |
150 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0404 | 1.0026 |
160 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0158 | 1.0000 |
170 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9545 | 1.0000 |
180 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9552 | 0.9974 |
190 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9847 | 0.9974 |
200 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0281 | Infinity |
210 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0357 | Infinity |
220 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9485 | 0.0000 |
230 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0687 | Infinity |
240 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0731 | Infinity |
250 | 994 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.1693 | Infinity |
260 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0219 | 1.0000 |
270 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0389 | Infinity |
280 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0551 | NaN |
290 | 995 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0478 | 1.0026 |
300 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.1297 | Infinity |
310 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.1022 | Infinity |
320 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9861 | 0.0000 |
330 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0370 | Infinity |
340 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9634 | NaN |
350 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9949 | NaN |
360 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9211 | 0.0000 |
370 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9721 | NaN |
380 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9026 | 0.0000 |
390 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0113 | NaN |
400 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8883 | 0.0000 |
410 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9017 | 0.0000 |
420 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9200 | 0.0000 |
430 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9338 | 0.0000 |
440 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9510 | 0.0000 |
450 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9226 | 0.0000 |
460 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9382 | 0.0000 |
470 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0083 | NaN |
480 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9232 | 0.0000 |
490 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9495 | 0.0000 |
500 | 990 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9967 | NaN |
510 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9466 | 0.0000 |
520 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9616 | 0.0000 |
530 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9879 | NaN |
540 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9428 | 0.0000 |
550 | 996 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9796 | NaN |
560 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9421 | 0.0000 |
570 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9242 | 0.0000 |
580 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9770 | NaN |
590 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9337 | 0.0000 |
600 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0227 | NaN |
610 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9580 | 0.0000 |
620 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9041 | 0.0000 |
630 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9187 | 0.0000 |
640 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.9314 | 0.0000 |
650 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8743 | 0.0000 |
660 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0137 | 1.0000 |
670 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0447 | Infinity |
680 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0267 | 1.0000 |
690 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0099 | 1.0000 |
700 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 1.0335 | NaN |
710 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0780 | Infinity |
720 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0603 | Infinity |
730 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9790 | 0.9974 |
740 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9942 | 1.0000 |
750 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9441 | 0.9974 |
760 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0167 | 1.0000 |
770 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9924 | 1.0000 |
780 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0067 | 1.0026 |
790 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0584 | Infinity |
800 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0252 | Infinity |
810 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0242 | Infinity |
820 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0559 | Infinity |
830 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0287 | Infinity |
840 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0634 | Infinity |
850 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0569 | Infinity |
860 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0566 | Infinity |
870 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0239 | 1.0000 |
880 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0475 | Infinity |
890 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.1053 | Infinity |
900 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0549 | Infinity |
910 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0896 | Infinity |
920 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0521 | 2.0000 |
930 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9924 | 1.0000 |
940 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0545 | Infinity |
950 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0088 | 1.0000 |
960 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8764 | 0.0000 |
970 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8001 | 0.0000 |
980 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8761 | 0.0000 |
990 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8988 | 0.0000 |
1000 | 998 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.8621 | 0.0000 |
Input:
0
Output:
false
Input:
10
Output:
false
Input:
20
Output:
false
Input:
30
Output:
false
Input:
40
Output:
false
Input:
50
Output:
false
Input:
60
Output:
false
Input:
70
Output:
false
Input:
80
Output:
false
Input:
90
Output:
false
Input:
100
Output:
false
Input:
110
Output:
false
Input:
120
Output:
false
Input:
130
Output:
false
Input:
140
Output:
false
Input:
150
Output:
false
Input:
160
Output:
false
Input:
170
Output:
false
Input:
180
Output:
false
Input:
190
Output:
false
Input:
200
Output:
false
Input:
210
Output:
false
Input:
220
Output:
false
Input:
230
Output:
false
Input:
240
Output:
false
Input:
250
Output:
false
Input:
260
Output:
false
Input:
270
Output:
false
Input:
280
Output:
false
Input:
290
Output:
false
Input:
300
Output:
false
Input:
310
Output:
false
Input:
320
Output:
false
Input:
330
Output:
false
Input:
340
Output:
false
Input:
350
Output:
false
Input:
360
Output:
false
Input:
370
Output:
false
Input:
380
Output:
false
Input:
390
Output:
false
Input:
400
Output:
false
Input:
410
Output:
false
Input:
420
Output:
false
Input:
430
Output:
false
Input:
440
Output:
false
Input:
450
Output:
false
Input:
460
Output:
false
Input:
470
Output:
false
Input:
480
Output:
false
Input:
490
Output:
false
Input:
500
Output:
false
Input:
510
Output:
false
Input:
520
Output:
false
Input:
530
Output:
false
Input:
540
Output:
false
Input:
550
Output:
false
Input:
560
Output:
false
Input:
570
Output:
false
Input:
580
Output:
false
Input:
590
Output:
false
Input:
600
Output:
false
Input:
610
Output:
false
Input:
620
Output:
false
Input:
630
Output:
false
Input:
640
Output:
false
Input:
650
Output:
false
Input:
660
Output:
false
Input:
670
Output:
false
Input:
680
Output:
false
Input:
690
Output:
false
Input:
700
Output:
false
Input:
710
Output:
false
Input:
720
Output:
false
Input:
730
Output:
false
Input:
740
Output:
false
Input:
750
Output:
false
Input:
760
Output:
false
Input:
770
Output:
false
Input:
780
Output:
false
Input:
790
Output:
false
Input:
800
Output:
false
Input:
810
Output:
false
Input:
820
Output:
false
Input:
830
Output:
false
Input:
840
Output:
false
Input:
850
Output:
false
Input:
860
Output:
false
Input:
870
Output:
false
Input:
880
Output:
false
Input:
890
Output:
false
Input:
900
Output:
false
Input:
910
Output:
false
Input:
920
Output:
false
Input:
930
Output:
false
Input:
940
Output:
false
Input:
950
Output:
false
Input:
960
Output:
false
Input:
970
Output:
false
Input:
980
Output:
false
Input:
990
Output:
false
Input:
1000
Output:
false
The overview over the suite is in chapter Suite Large Immutable Map.
Adds a new entry to a map.
Dataset | Length | Min | Max | Average | Median | Standard Deviation | Factor (Average) | Factor (Median) |
0 | 998 | 0.0000 | 0.0004 | 0.0001 | 0.0000 | 0.0002 | 0.7959 | NaN |
10 | 998 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 2.8665 | Infinity |
20 | 999 | 0.0004 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 2.3602 | Infinity |
30 | 999 | 0.0004 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 2.3763 | Infinity |
40 | 999 | 0.0004 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 2.3145 | Infinity |
50 | 990 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0002 | 3.8512 | Infinity |
60 | 994 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.9961 | Infinity |
70 | 994 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.2305 | 2.0000 |
80 | 993 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.2263 | 2.0000 |
90 | 997 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0002 | 3.1026 | 2.0000 |
100 | 969 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.2619 | 2.0000 |
110 | 981 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.5468 | 2.0000 |
120 | 984 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.0840 | Infinity |
130 | 984 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.9767 | Infinity |
140 | 988 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.9085 | Infinity |
150 | 991 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.8371 | 2.0052 |
160 | 987 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.8522 | 2.0052 |
170 | 985 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.6950 | 2.0052 |
180 | 989 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.6635 | 2.0000 |
190 | 990 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.7516 | 2.0000 |
200 | 989 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.9428 | Infinity |
210 | 985 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.9967 | Infinity |
220 | 991 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.6976 | 2.0000 |
230 | 990 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.9827 | Infinity |
240 | 988 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 4.0340 | Infinity |
250 | 985 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.9148 | Infinity |
260 | 988 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.8512 | 2.0052 |
270 | 989 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.9744 | Infinity |
280 | 994 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 4.0905 | Infinity |
290 | 993 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.8509 | 2.0052 |
300 | 992 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 4.2717 | Infinity |
310 | 994 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.2147 | Infinity |
320 | 989 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.8464 | 2.0052 |
330 | 993 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.0263 | Infinity |
340 | 990 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.9501 | Infinity |
350 | 996 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.9527 | Infinity |
360 | 991 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.7770 | 2.0052 |
370 | 991 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.0577 | Infinity |
380 | 999 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.7472 | 2.0052 |
390 | 992 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 4.0115 | Infinity |
400 | 996 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.6739 | 2.0000 |
410 | 997 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.7125 | 2.0000 |
420 | 991 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.7907 | 2.0052 |
430 | 992 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.7481 | 2.0052 |
440 | 980 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9595 | 2.0052 |
450 | 987 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.7434 | 2.0052 |
460 | 984 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.9292 | 2.0052 |
470 | 955 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.1233 | Infinity |
480 | 962 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.7754 | 2.0000 |
490 | 958 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9483 | 2.0052 |
500 | 976 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0608 | Infinity |
510 | 987 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9405 | 2.0052 |
520 | 971 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9170 | 2.0052 |
530 | 956 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0242 | Infinity |
540 | 976 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9328 | 2.0052 |
550 | 989 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.2162 | Infinity |
560 | 962 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9841 | 2.0052 |
570 | 976 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9230 | 2.0052 |
580 | 994 | 0.0004 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2766 | Infinity |
590 | 985 | 0.0004 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.0192 | 2.0052 |
600 | 968 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.1260 | Infinity |
610 | 962 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9897 | 2.0052 |
620 | 959 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.8235 | 2.0000 |
630 | 987 | 0.0004 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 3.9853 | 2.0052 |
640 | 987 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.8841 | 2.0052 |
650 | 991 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.7183 | 2.0000 |
660 | 995 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.8521 | 2.0052 |
670 | 985 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.0012 | Infinity |
680 | 985 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.8842 | 2.0052 |
690 | 997 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0001 | 3.8114 | 2.0052 |
700 | 989 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.1314 | Infinity |
710 | 985 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.1746 | Infinity |
720 | 972 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.0167 | Infinity |
730 | 976 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.7454 | 2.0000 |
740 | 963 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.7978 | 2.0052 |
750 | 988 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.6810 | 2.0000 |
760 | 993 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.8479 | 2.0052 |
770 | 995 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.7132 | 2.0000 |
780 | 993 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 3.7670 | 2.0052 |
790 | 984 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0001 | 4.0214 | Infinity |
800 | 957 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0242 | Infinity |
810 | 980 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0138 | Infinity |
820 | 968 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0548 | Infinity |
830 | 977 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0712 | Infinity |
840 | 983 | 0.0004 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2763 | Infinity |
850 | 994 | 0.0004 | 0.0015 | 0.0009 | 0.0008 | 0.0002 | 4.6328 | Infinity |
860 | 993 | 0.0004 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2270 | Infinity |
870 | 969 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9800 | 2.0052 |
880 | 979 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.1280 | Infinity |
890 | 988 | 0.0004 | 0.0012 | 0.0007 | 0.0008 | 0.0002 | 3.8545 | Infinity |
900 | 978 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0002 | 3.5970 | Infinity |
910 | 993 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0002 | 3.7103 | Infinity |
920 | 994 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0002 | 3.5735 | 4.0104 |
930 | 990 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0002 | 3.3847 | 2.0000 |
940 | 990 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0002 | 3.7411 | Infinity |
950 | 986 | 0.0004 | 0.0008 | 0.0007 | 0.0008 | 0.0002 | 3.5144 | 2.0052 |
960 | 992 | 0.0004 | 0.0008 | 0.0006 | 0.0008 | 0.0002 | 2.9864 | 2.0000 |
970 | 997 | 0.0004 | 0.0008 | 0.0006 | 0.0008 | 0.0002 | 2.7980 | 2.0000 |
980 | 995 | 0.0004 | 0.0008 | 0.0006 | 0.0008 | 0.0002 | 2.9359 | 2.0000 |
990 | 996 | 0.0004 | 0.0008 | 0.0006 | 0.0008 | 0.0002 | 3.0394 | 2.0000 |
1000 | 995 | 0.0004 | 0.0008 | 0.0006 | 0.0008 | 0.0002 | 2.9962 | 2.0000 |
Input:
0
Output:
(-1,X-1)
Input:
10
Output:
(0,X0) (5,X5) (1,X1) (6,X6) (9,X9) (2,X2) (7,X7) (3,X3) (-1,X-1) (8,X8) (4,X4)
Input:
20
Output:
(0,X0) (5,X5) (10,X10) (14,X14) (1,X1) (6,X6) (9,X9) (13,X13) (2,X2) (17,X17) (12,X12) (7,X7) (3,X3) (18,X18) (-1,X-1) (16,X16) (11,X11) (8,X8) (19,X19) (4,X4) (15,X15)
Input:
30
Output:
(0,X0) (5,X5) (10,X10) (24,X24) (25,X25) (14,X14) (20,X20) (29,X29) (1,X1) (6,X6) (28,X28) (21,X21) (9,X9) (13,X13) (2,X2) (17,X17) (22,X22) (27,X27) (12,X12) (7,X7) (3,X3) (18,X18) (-1,X-1) (16,X16) (11,X11) (26,X26) (23,X23) (8,X8) (19,X19) (4,X4) (15,X15)
Input:
40
Output:
(0,X0) (5,X5) (10,X10) (24,X24) (37,X37) (25,X25) (14,X14) (20,X20) (29,X29) (1,X1) (6,X6) (28,X28) (38,X38) (21,X21) (33,X33) (9,X9) (13,X13) (2,X2) (32,X32) (34,X34) (17,X17) (22,X22) (27,X27) (12,X12) (7,X7) (39,X39) (3,X3) (35,X35) (18,X18) (-1,X-1) (16,X16) (31,X31) (11,X11) (26,X26) (23,X23) (8,X8) (36,X36) (30,X30) (19,X19) (4,X4) (15,X15)
Input:
50
Output:
(0,X0) (5,X5) (10,X10) (42,X42) (24,X24) (37,X37) (25,X25) (14,X14) (20,X20) (46,X46) (29,X29) (1,X1) (6,X6) (28,X28) (38,X38) (21,X21) (33,X33) (9,X9) (13,X13) (41,X41) (2,X2) (32,X32) (34,X34) (45,X45) (17,X17) (22,X22) (44,X44) (27,X27) (12,X12) (49,X49) (7,X7) (39,X39) (3,X3) (35,X35) (48,X48) (18,X18) (-1,X-1) (16,X16) (31,X31) (11,X11) (43,X43) (40,X40) (26,X26) (23,X23) (8,X8) (36,X36) (30,X30) (19,X19) (4,X4) (47,X47) (15,X15)
Input:
60
Output:
(0,X0) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (57,X57) (29,X29) (1,X1) (6,X6) (28,X28) (38,X38) (21,X21) (33,X33) (9,X9) (53,X53) (13,X13) (41,X41) (2,X2) (32,X32) (34,X34) (45,X45) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (12,X12) (54,X54) (49,X49) (7,X7) (39,X39) (3,X3) (35,X35) (48,X48) (18,X18) (-1,X-1) (50,X50) (16,X16) (31,X31) (11,X11) (43,X43) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (58,X58) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (47,X47) (15,X15)
Input:
70
Output:
(69,X69) (0,X0) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (57,X57) (29,X29) (61,X61) (1,X1) (6,X6) (60,X60) (28,X28) (38,X38) (21,X21) (33,X33) (65,X65) (9,X9) (53,X53) (13,X13) (41,X41) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (12,X12) (54,X54) (49,X49) (7,X7) (39,X39) (66,X66) (3,X3) (35,X35) (48,X48) (63,X63) (18,X18) (-1,X-1) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (43,X43) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (58,X58) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (47,X47) (15,X15) (68,X68) (62,X62)
Input:
80
Output:
(69,X69) (0,X0) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (57,X57) (78,X78) (29,X29) (61,X61) (1,X1) (74,X74) (6,X6) (60,X60) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (65,X65) (9,X9) (53,X53) (77,X77) (13,X13) (41,X41) (73,X73) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (76,X76) (7,X7) (39,X39) (66,X66) (3,X3) (35,X35) (48,X48) (63,X63) (18,X18) (-1,X-1) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (75,X75) (58,X58) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (79,X79) (47,X47) (15,X15) (68,X68) (62,X62)
Input:
90
Output:
(69,X69) (0,X0) (88,X88) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (57,X57) (78,X78) (29,X29) (84,X84) (61,X61) (89,X89) (1,X1) (74,X74) (6,X6) (60,X60) (85,X85) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (65,X65) (9,X9) (53,X53) (77,X77) (13,X13) (41,X41) (73,X73) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (81,X81) (76,X76) (7,X7) (39,X39) (66,X66) (3,X3) (80,X80) (35,X35) (48,X48) (63,X63) (18,X18) (-1,X-1) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (87,X87) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (75,X75) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (79,X79) (47,X47) (15,X15) (68,X68) (62,X62) (83,X83)
Input:
100
Output:
(69,X69) (0,X0) (88,X88) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (84,X84) (61,X61) (89,X89) (1,X1) (74,X74) (6,X6) (60,X60) (85,X85) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (77,X77) (96,X96) (13,X13) (41,X41) (73,X73) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (91,X91) (66,X66) (3,X3) (80,X80) (35,X35) (48,X48) (63,X63) (18,X18) (-1,X-1) (95,X95) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (75,X75) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (79,X79) (94,X94) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (83,X83)
Input:
110
Output:
(69,X69) (101,X101) (0,X0) (88,X88) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (84,X84) (61,X61) (89,X89) (1,X1) (74,X74) (6,X6) (60,X60) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (109,X109) (77,X77) (96,X96) (13,X13) (41,X41) (73,X73) (105,X105) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (91,X91) (66,X66) (108,X108) (3,X3) (80,X80) (35,X35) (48,X48) (63,X63) (18,X18) (-1,X-1) (95,X95) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (75,X75) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (79,X79) (94,X94) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (83,X83) (100,X100)
Input:
120
Output:
(69,X69) (101,X101) (0,X0) (88,X88) (115,X115) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (84,X84) (61,X61) (89,X89) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (109,X109) (77,X77) (96,X96) (13,X13) (41,X41) (73,X73) (105,X105) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (91,X91) (66,X66) (108,X108) (3,X3) (80,X80) (35,X35) (112,X112) (48,X48) (63,X63) (18,X18) (-1,X-1) (95,X95) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (114,X114) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (79,X79) (94,X94) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (83,X83) (100,X100)
Input:
130
Output:
(69,X69) (101,X101) (0,X0) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (121,X121) (84,X84) (61,X61) (89,X89) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (73,X73) (128,X128) (105,X105) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (91,X91) (66,X66) (108,X108) (3,X3) (80,X80) (35,X35) (112,X112) (123,X123) (48,X48) (63,X63) (18,X18) (-1,X-1) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (114,X114) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (79,X79) (94,X94) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
140
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (121,X121) (84,X84) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (137,X137) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (91,X91) (66,X66) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (35,X35) (112,X112) (123,X123) (48,X48) (63,X63) (18,X18) (-1,X-1) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (114,X114) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
150
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (137,X137) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (32,X32) (34,X34) (148,X148) (45,X45) (64,X64) (17,X17) (149,X149) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (86,X86) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (35,X35) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (-1,X-1) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (11,X11) (72,X72) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (114,X114) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (36,X36) (146,X146) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
160
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (157,X157) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (137,X137) (33,X33) (92,X92) (65,X65) (97,X97) (156,X156) (9,X9) (53,X53) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (32,X32) (34,X34) (148,X148) (45,X45) (64,X64) (17,X17) (149,X149) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (86,X86) (159,X159) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (35,X35) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (55,X55) (114,X114) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (146,X146) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
170
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (157,X157) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (65,X65) (97,X97) (156,X156) (9,X9) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (17,X17) (149,X149) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (86,X86) (159,X159) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (55,X55) (114,X114) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
180
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (170,X170) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (157,X157) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (179,X179) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (65,X65) (97,X97) (156,X156) (9,X9) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (17,X17) (149,X149) (176,X176) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (86,X86) (159,X159) (172,X172) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (177,X177) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
190
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (170,X170) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (179,X179) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (65,X65) (97,X97) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (183,X183) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
200
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (170,X170) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (179,X179) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (197,X197) (65,X65) (97,X97) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (193,X193) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
210
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (170,X170) (115,X115) (5,X5) (120,X120) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (179,X179) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (206,X206) (6,X6) (60,X60) (117,X117) (85,X85) (201,X201) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (197,X197) (65,X65) (97,X97) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (193,X193) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (203,X203) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (207,X207) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
220
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (206,X206) (6,X6) (60,X60) (117,X117) (85,X85) (201,X201) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (197,X197) (65,X65) (97,X97) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (215,X215) (100,X100)
Input:
230
Output:
(69,X69) (138,X138) (101,X101) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (206,X206) (6,X6) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (100,X100)
Input:
240
Output:
(69,X69) (138,X138) (101,X101) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (206,X206) (233,X233) (6,X6) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (230,X230) (76,X76) (7,X7) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (239,X239) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
250
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (247,X247) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
260
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (247,X247) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
270
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (260,X260) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
280
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (260,X260) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (135,X135) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (-1,X-1) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
290
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (152,X152) (228,X228) (289,X289) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (260,X260) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (285,X285) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (135,X135) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
300
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (152,X152) (228,X228) (289,X289) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (285,X285) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
310
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (152,X152) (228,X228) (289,X289) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (302,X302) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (285,X285) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
320
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (302,X302) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
330
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (302,X302) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
340
Output:
(69,X69) (138,X138) (101,X101) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (334,X334) (302,X302) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (127,X127) (338,X338) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
350
Output:
(69,X69) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (344,X344) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (345,X345) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (127,X127) (338,X338) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
360
Output:
(69,X69) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (345,X345) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
370
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
380
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
390
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
400
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (395,X395) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
410
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (192,X192) (407,X407) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (400,X400) (94,X94) (283,X283) (395,X395) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
420
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (192,X192) (407,X407) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
430
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (427,X427) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
440
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (427,X427) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
450
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (427,X427) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
460
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (0,X0) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
470
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (0,X0) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (463,X463) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
480
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (0,X0) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (471,X471) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
490
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (0,X0) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (489,X489) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
500
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (0,X0) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (489,X489) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (495,X495) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
510
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (0,X0) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (500,X500) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (489,X489) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (495,X495) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
520
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (500,X500) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (489,X489) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
530
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (500,X500) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (526,X526) (489,X489) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
540
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (398,X398) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
550
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
560
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
570
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
580
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
590
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
600
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (594,X594) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
610
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
620
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
630
Output:
(69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
640
Output:
(69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (637,X637) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (639,X639) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
650
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (639,X639) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
660
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
670
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
680
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
690
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
700
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
710
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
720
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
730
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
740
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (286,X286) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
750
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
760
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
770
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
780
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
790
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
800
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
810
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
820
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
830
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
840
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
850
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
860
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
870
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
880
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
890
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
900
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
910
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
920
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
930
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
940
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
950
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (941,X941) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
960
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (941,X941) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
970
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (962,X962) (468,X468) (234,X234) (941,X941) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (969,X969) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (966,X966) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (965,X965) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (964,X964) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (968,X968) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (961,X961) (813,X813) (963,X963) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (967,X967) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (960,X960) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
980
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (962,X962) (468,X468) (234,X234) (941,X941) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (977,X977) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (973,X973) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (969,X969) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (966,X966) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (974,X974) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (970,X970) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (965,X965) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (975,X975) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (979,X979) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (964,X964) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (968,X968) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (971,X971) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (978,X978) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (976,X976) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (961,X961) (813,X813) (963,X963) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (967,X967) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (960,X960) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100) (972,X972)
Input:
990
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (962,X962) (468,X468) (234,X234) (941,X941) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (977,X977) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (973,X973) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (969,X969) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (966,X966) (821,X821) (905,X905) (480,X480) (602,X602) (981,X981) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (988,X988) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (974,X974) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (980,X980) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (989,X989) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (970,X970) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (985,X985) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (984,X984) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (965,X965) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (975,X975) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (979,X979) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (964,X964) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (983,X983) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (986,X986) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (968,X968) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (971,X971) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (978,X978) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (976,X976) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (961,X961) (813,X813) (963,X963) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (967,X967) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (960,X960) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (987,X987) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (982,X982) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100) (972,X972)
Input:
1000
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (962,X962) (468,X468) (234,X234) (941,X941) (0,X0) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (977,X977) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (994,X994) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (973,X973) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (969,X969) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (966,X966) (821,X821) (905,X905) (480,X480) (602,X602) (981,X981) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (998,X998) (411,X411) (988,X988) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (974,X974) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (980,X980) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (989,X989) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (970,X970) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (997,X997) (985,X985) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (984,X984) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (965,X965) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (975,X975) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (979,X979) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (990,X990) (996,X996) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (964,X964) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (983,X983) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (986,X986) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (968,X968) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (-1,X-1) (887,X887) (414,X414) (971,X971) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (993,X993) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (978,X978) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (991,X991) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (976,X976) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (961,X961) (813,X813) (963,X963) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (995,X995) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (999,X999) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (967,X967) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (960,X960) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (987,X987) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (992,X992) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (982,X982) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100) (972,X972)
The overview over the suite is in chapter Suite Large Immutable Map.
Removes an existing entry from a map.
Dataset | Length | Min | Max | Average | Median | Standard Deviation | Factor (Average) | Factor (Median) |
0 | 999 | 0.0000 | 0.0004 | 0.0001 | 0.0000 | 0.0001 | 0.5702 | NaN |
10 | 997 | 0.0004 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 2.4108 | Infinity |
20 | 997 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 2.5220 | Infinity |
30 | 997 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 2.5536 | Infinity |
40 | 997 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 2.5565 | Infinity |
50 | 978 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 2.6875 | Infinity |
60 | 996 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 2.8515 | Infinity |
70 | 962 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.5018 | 2.0000 |
80 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 3.6201 | 2.0000 |
90 | 993 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 3.8481 | 2.0000 |
100 | 965 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.2892 | 2.0000 |
110 | 996 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 3.8640 | 2.0000 |
120 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.3944 | Infinity |
130 | 996 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2862 | Infinity |
140 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.3628 | Infinity |
150 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2717 | 2.0052 |
160 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2963 | 2.0052 |
170 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1356 | 2.0052 |
180 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.0544 | 2.0000 |
190 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1868 | 2.0000 |
200 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.3493 | Infinity |
210 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.4364 | Infinity |
220 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1228 | 2.0000 |
230 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.3551 | Infinity |
240 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.5443 | Infinity |
250 | 989 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.4548 | Infinity |
260 | 997 | 0.0008 | 0.0012 | 0.0009 | 0.0008 | 0.0002 | 4.4032 | 2.0052 |
270 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.4011 | Infinity |
280 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.6026 | Infinity |
290 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.3133 | 2.0052 |
300 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.7938 | Infinity |
310 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.6286 | Infinity |
320 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.3294 | 2.0052 |
330 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.3946 | Infinity |
340 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.4261 | Infinity |
350 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.4263 | Infinity |
360 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2102 | 2.0052 |
370 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.4804 | Infinity |
380 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1509 | 2.0052 |
390 | 973 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.5430 | Infinity |
400 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1082 | 2.0000 |
410 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1039 | 2.0000 |
420 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.2808 | 2.0052 |
430 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1885 | 2.0052 |
440 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2977 | 2.0052 |
450 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.0849 | 2.0052 |
460 | 994 | 0.0012 | 0.0015 | 0.0014 | 0.0015 | 0.0002 | 7.2111 | 4.0104 |
470 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.5229 | Infinity |
480 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.1903 | 2.0000 |
490 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2789 | 2.0052 |
500 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.4375 | Infinity |
510 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2888 | 2.0052 |
520 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.3052 | 2.0052 |
530 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.4057 | Infinity |
540 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2722 | 2.0052 |
550 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.6075 | Infinity |
560 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.3833 | 2.0052 |
570 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.3131 | 2.0052 |
580 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.5045 | Infinity |
590 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2024 | 2.0052 |
600 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.4642 | Infinity |
610 | 991 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.3931 | 2.0052 |
620 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1768 | 2.0000 |
630 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.2896 | 2.0052 |
640 | 987 | 0.0008 | 0.0015 | 0.0014 | 0.0015 | 0.0002 | 7.1111 | 4.0104 |
650 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.0900 | 2.0000 |
660 | 993 | 0.0008 | 0.0015 | 0.0009 | 0.0008 | 0.0002 | 4.7019 | 2.0052 |
670 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.4166 | Infinity |
680 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2888 | 2.0052 |
690 | 998 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.3165 | 2.0052 |
700 | 999 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.5827 | Infinity |
710 | 998 | 0.0004 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.3438 | Infinity |
720 | 978 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0755 | Infinity |
730 | 952 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.8019 | 2.0000 |
740 | 962 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.8497 | 2.0052 |
750 | 974 | 0.0008 | 0.0012 | 0.0009 | 0.0008 | 0.0002 | 4.1350 | 2.0000 |
760 | 994 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.3385 | 2.0052 |
770 | 996 | 0.0008 | 0.0012 | 0.0009 | 0.0008 | 0.0002 | 4.1872 | 2.0000 |
780 | 955 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.8385 | 2.0052 |
790 | 960 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0943 | Infinity |
800 | 967 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0242 | Infinity |
810 | 997 | 0.0004 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.1271 | Infinity |
820 | 997 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2035 | Infinity |
830 | 958 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0858 | Infinity |
840 | 960 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.1580 | Infinity |
850 | 960 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0610 | Infinity |
860 | 985 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2072 | Infinity |
870 | 960 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 3.9800 | 2.0052 |
880 | 972 | 0.0004 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.1153 | Infinity |
890 | 960 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.1237 | Infinity |
900 | 975 | 0.0008 | 0.0008 | 0.0008 | 0.0008 | 0.0000 | 4.0528 | Infinity |
910 | 994 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0001 | 4.2735 | Infinity |
920 | 995 | 0.0008 | 0.0012 | 0.0008 | 0.0008 | 0.0002 | 4.4081 | 4.0104 |
930 | 989 | 0.0008 | 0.0015 | 0.0009 | 0.0008 | 0.0003 | 4.6388 | 2.0000 |
940 | 996 | 0.0008 | 0.0012 | 0.0009 | 0.0008 | 0.0002 | 4.6252 | Infinity |
950 | 986 | 0.0008 | 0.0012 | 0.0011 | 0.0012 | 0.0002 | 5.4315 | 3.0078 |
960 | 953 | 0.0008 | 0.0012 | 0.0011 | 0.0012 | 0.0002 | 5.0356 | 3.0000 |
970 | 995 | 0.0008 | 0.0012 | 0.0011 | 0.0012 | 0.0002 | 4.7416 | 3.0000 |
980 | 990 | 0.0008 | 0.0012 | 0.0011 | 0.0012 | 0.0002 | 5.0458 | 3.0000 |
990 | 989 | 0.0008 | 0.0012 | 0.0011 | 0.0012 | 0.0002 | 5.2854 | 3.0000 |
1000 | 997 | 0.0008 | 0.0012 | 0.0010 | 0.0012 | 0.0002 | 4.6812 | 2.9974 |
Input:
0
Output:
Input:
10
Output:
(5,X5) (1,X1) (6,X6) (9,X9) (2,X2) (7,X7) (3,X3) (8,X8) (4,X4)
Input:
20
Output:
(5,X5) (10,X10) (14,X14) (1,X1) (6,X6) (9,X9) (13,X13) (2,X2) (17,X17) (12,X12) (7,X7) (3,X3) (18,X18) (16,X16) (11,X11) (8,X8) (19,X19) (4,X4) (15,X15)
Input:
30
Output:
(5,X5) (10,X10) (24,X24) (25,X25) (14,X14) (20,X20) (29,X29) (1,X1) (6,X6) (28,X28) (21,X21) (9,X9) (13,X13) (2,X2) (17,X17) (22,X22) (27,X27) (12,X12) (7,X7) (3,X3) (18,X18) (16,X16) (11,X11) (26,X26) (23,X23) (8,X8) (19,X19) (4,X4) (15,X15)
Input:
40
Output:
(5,X5) (10,X10) (24,X24) (37,X37) (25,X25) (14,X14) (20,X20) (29,X29) (1,X1) (6,X6) (28,X28) (38,X38) (21,X21) (33,X33) (9,X9) (13,X13) (2,X2) (32,X32) (34,X34) (17,X17) (22,X22) (27,X27) (12,X12) (7,X7) (39,X39) (3,X3) (35,X35) (18,X18) (16,X16) (31,X31) (11,X11) (26,X26) (23,X23) (8,X8) (36,X36) (30,X30) (19,X19) (4,X4) (15,X15)
Input:
50
Output:
(5,X5) (10,X10) (42,X42) (24,X24) (37,X37) (25,X25) (14,X14) (20,X20) (46,X46) (29,X29) (1,X1) (6,X6) (28,X28) (38,X38) (21,X21) (33,X33) (9,X9) (13,X13) (41,X41) (2,X2) (32,X32) (34,X34) (45,X45) (17,X17) (22,X22) (44,X44) (27,X27) (12,X12) (49,X49) (7,X7) (39,X39) (3,X3) (35,X35) (48,X48) (18,X18) (16,X16) (31,X31) (11,X11) (43,X43) (40,X40) (26,X26) (23,X23) (8,X8) (36,X36) (30,X30) (19,X19) (4,X4) (47,X47) (15,X15)
Input:
60
Output:
(5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (57,X57) (29,X29) (1,X1) (6,X6) (28,X28) (38,X38) (21,X21) (33,X33) (9,X9) (53,X53) (13,X13) (41,X41) (2,X2) (32,X32) (34,X34) (45,X45) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (12,X12) (54,X54) (49,X49) (7,X7) (39,X39) (3,X3) (35,X35) (48,X48) (18,X18) (50,X50) (16,X16) (31,X31) (11,X11) (43,X43) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (58,X58) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (47,X47) (15,X15)
Input:
70
Output:
(69,X69) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (57,X57) (29,X29) (61,X61) (1,X1) (6,X6) (60,X60) (28,X28) (38,X38) (21,X21) (33,X33) (65,X65) (9,X9) (53,X53) (13,X13) (41,X41) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (12,X12) (54,X54) (49,X49) (7,X7) (39,X39) (66,X66) (3,X3) (35,X35) (48,X48) (63,X63) (18,X18) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (43,X43) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (58,X58) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (47,X47) (15,X15) (68,X68) (62,X62)
Input:
80
Output:
(69,X69) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (57,X57) (78,X78) (29,X29) (61,X61) (1,X1) (74,X74) (6,X6) (60,X60) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (65,X65) (9,X9) (53,X53) (77,X77) (13,X13) (41,X41) (73,X73) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (76,X76) (7,X7) (39,X39) (66,X66) (3,X3) (35,X35) (48,X48) (63,X63) (18,X18) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (75,X75) (58,X58) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (79,X79) (47,X47) (15,X15) (68,X68) (62,X62)
Input:
90
Output:
(69,X69) (88,X88) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (57,X57) (78,X78) (29,X29) (84,X84) (61,X61) (89,X89) (1,X1) (74,X74) (6,X6) (60,X60) (85,X85) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (65,X65) (9,X9) (53,X53) (77,X77) (13,X13) (41,X41) (73,X73) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (81,X81) (76,X76) (7,X7) (39,X39) (66,X66) (3,X3) (80,X80) (35,X35) (48,X48) (63,X63) (18,X18) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (87,X87) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (75,X75) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (79,X79) (47,X47) (15,X15) (68,X68) (62,X62) (83,X83)
Input:
100
Output:
(69,X69) (88,X88) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (84,X84) (61,X61) (89,X89) (1,X1) (74,X74) (6,X6) (60,X60) (85,X85) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (77,X77) (96,X96) (13,X13) (41,X41) (73,X73) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (91,X91) (66,X66) (3,X3) (80,X80) (35,X35) (48,X48) (63,X63) (18,X18) (95,X95) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (75,X75) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (4,X4) (79,X79) (94,X94) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (83,X83)
Input:
110
Output:
(69,X69) (101,X101) (88,X88) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (84,X84) (61,X61) (89,X89) (1,X1) (74,X74) (6,X6) (60,X60) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (109,X109) (77,X77) (96,X96) (13,X13) (41,X41) (73,X73) (105,X105) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (91,X91) (66,X66) (108,X108) (3,X3) (80,X80) (35,X35) (48,X48) (63,X63) (18,X18) (95,X95) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (23,X23) (8,X8) (75,X75) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (79,X79) (94,X94) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (83,X83) (100,X100)
Input:
120
Output:
(69,X69) (101,X101) (88,X88) (115,X115) (5,X5) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (84,X84) (61,X61) (89,X89) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (109,X109) (77,X77) (96,X96) (13,X13) (41,X41) (73,X73) (105,X105) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (91,X91) (66,X66) (108,X108) (3,X3) (80,X80) (35,X35) (112,X112) (48,X48) (63,X63) (18,X18) (95,X95) (50,X50) (67,X67) (16,X16) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (114,X114) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (79,X79) (94,X94) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (83,X83) (100,X100)
Input:
130
Output:
(69,X69) (101,X101) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (121,X121) (84,X84) (61,X61) (89,X89) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (73,X73) (128,X128) (105,X105) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (91,X91) (66,X66) (108,X108) (3,X3) (80,X80) (35,X35) (112,X112) (123,X123) (48,X48) (63,X63) (18,X18) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (114,X114) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (79,X79) (94,X94) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
140
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (121,X121) (84,X84) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (137,X137) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (32,X32) (34,X34) (45,X45) (64,X64) (17,X17) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (49,X49) (86,X86) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (91,X91) (66,X66) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (35,X35) (112,X112) (123,X123) (48,X48) (63,X63) (18,X18) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (11,X11) (72,X72) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (114,X114) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (36,X36) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
150
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (20,X20) (46,X46) (93,X93) (57,X57) (78,X78) (29,X29) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (137,X137) (33,X33) (92,X92) (65,X65) (97,X97) (9,X9) (53,X53) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (32,X32) (34,X34) (148,X148) (45,X45) (64,X64) (17,X17) (149,X149) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (86,X86) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (35,X35) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (11,X11) (72,X72) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (55,X55) (114,X114) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (36,X36) (146,X146) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
160
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (157,X157) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (70,X70) (21,X21) (137,X137) (33,X33) (92,X92) (65,X65) (97,X97) (156,X156) (9,X9) (53,X53) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (32,X32) (34,X34) (148,X148) (45,X45) (64,X64) (17,X17) (149,X149) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (86,X86) (159,X159) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (35,X35) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (55,X55) (114,X114) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (146,X146) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
170
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (157,X157) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (65,X65) (97,X97) (156,X156) (9,X9) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (17,X17) (149,X149) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (86,X86) (159,X159) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (55,X55) (114,X114) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (68,X68) (62,X62) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
180
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (170,X170) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (110,X110) (125,X125) (157,X157) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (179,X179) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (65,X65) (97,X97) (156,X156) (9,X9) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (17,X17) (149,X149) (176,X176) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (86,X86) (159,X159) (172,X172) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (177,X177) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
190
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (170,X170) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (179,X179) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (65,X65) (97,X97) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (112,X112) (123,X123) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (183,X183) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
200
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (170,X170) (115,X115) (5,X5) (120,X120) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (179,X179) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (6,X6) (60,X60) (117,X117) (85,X85) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (197,X197) (65,X65) (97,X97) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (193,X193) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
210
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (170,X170) (115,X115) (5,X5) (120,X120) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (164,X164) (179,X179) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (206,X206) (6,X6) (60,X60) (117,X117) (85,X85) (201,X201) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (197,X197) (65,X65) (97,X97) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (193,X193) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (203,X203) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (207,X207) (82,X82) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (100,X100)
Input:
220
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (206,X206) (6,X6) (60,X60) (117,X117) (85,X85) (201,X201) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (197,X197) (65,X65) (97,X97) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (135,X135) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (122,X122) (83,X83) (215,X215) (100,X100)
Input:
230
Output:
(69,X69) (138,X138) (101,X101) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (106,X106) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (206,X206) (6,X6) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (105,X105) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (76,X76) (7,X7) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (100,X100)
Input:
240
Output:
(69,X69) (138,X138) (101,X101) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (1,X1) (74,X74) (206,X206) (233,X233) (6,X6) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (230,X230) (76,X76) (7,X7) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (239,X239) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
250
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (247,X247) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
260
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (247,X247) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
270
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (85,X85) (201,X201) (220,X220) (102,X102) (260,X260) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (223,X223) (135,X135) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
280
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (152,X152) (228,X228) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (260,X260) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (59,X59) (118,X118) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (135,X135) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (150,X150) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (151,X151) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
290
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (152,X152) (228,X228) (289,X289) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (260,X260) (28,X28) (38,X38) (160,X160) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (285,X285) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (135,X135) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (18,X18) (282,X282) (150,X150) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
300
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (152,X152) (228,X228) (289,X289) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (285,X285) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
310
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (152,X152) (228,X228) (289,X289) (57,X57) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (302,X302) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (285,X285) (224,X224) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (263,X263) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
320
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (302,X302) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (103,X103) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
330
Output:
(69,X69) (138,X138) (101,X101) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (302,X302) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (16,X16) (127,X127) (31,X31) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
340
Output:
(69,X69) (138,X138) (101,X101) (333,X333) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (334,X334) (302,X302) (260,X260) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (127,X127) (338,X338) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
350
Output:
(69,X69) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (344,X344) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (345,X345) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (127,X127) (338,X338) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
360
Output:
(69,X69) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (345,X345) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (87,X87) (203,X203) (218,X218) (104,X104) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (232,X232) (100,X100)
Input:
370
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (235,X235) (246,X246) (207,X207) (272,X272) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
380
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (117,X117) (270,X270) (85,X85) (201,X201) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
390
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (278,X278) (223,X223) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
400
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (192,X192) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (94,X94) (283,X283) (395,X395) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
410
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (192,X192) (407,X407) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (400,X400) (94,X94) (283,X283) (395,X395) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
420
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (192,X192) (407,X407) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
430
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (427,X427) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
440
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (120,X120) (247,X247) (379,X379) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (427,X427) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
450
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (231,X231) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (427,X427) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (364,X364) (232,X232) (100,X100)
Input:
460
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (234,X234) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
470
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (463,X463) (127,X127) (338,X338) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
480
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (88,X88) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (471,X471) (256,X256) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
490
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (489,X489) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (222,X222) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
500
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (489,X489) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (495,X495) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
510
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (468,X468) (234,X234) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (500,X500) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (489,X489) (212,X212) (96,X96) (393,X393) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (495,X495) (218,X218) (104,X104) (368,X368) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
520
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (500,X500) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (489,X489) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
530
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (142,X142) (500,X500) (472,X472) (340,X340) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (476,X476) (526,X526) (489,X489) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (398,X398) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
540
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (398,X398) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
550
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
560
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
570
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
580
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (495,X495) (218,X218) (104,X104) (368,X368) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
590
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
600
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (323,X323) (594,X594) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
610
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
620
Output:
(69,X69) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
630
Output:
(69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
640
Output:
(69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (526,X526) (637,X637) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (544,X544) (31,X31) (336,X336) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (639,X639) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
650
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (167,X167) (35,X35) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (543,X543) (215,X215) (560,X560) (639,X639) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
660
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (530,X530) (586,X586) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
670
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (426,X426) (589,X589) (162,X162) (531,X531) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
680
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
690
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
700
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (96,X96) (622,X622) (393,X393) (647,X647) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (282,X282) (150,X150) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (232,X232) (100,X100)
Input:
710
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
720
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (654,X654) (457,X457) (173,X173) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
730
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (22,X22) (44,X44) (286,X286) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
740
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (286,X286) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
750
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
760
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
770
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
780
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
790
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
800
Output:
(645,X645) (69,X69) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
810
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
820
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
830
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (410,X410) (36,X36) (168,X168) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
840
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
850
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
860
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (273,X273) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
870
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (449,X449) (120,X120) (247,X247) (379,X379) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
880
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (100,X100)
Input:
890
Output:
(645,X645) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
900
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
910
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
920
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
930
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (340,X340) (538,X538) (153,X153) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
940
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
950
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (941,X941) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (894,X894) (746,X746) (825,X825) (778,X778) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
960
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (468,X468) (234,X234) (941,X941) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (813,X813) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
970
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (962,X962) (468,X468) (234,X234) (941,X941) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (969,X969) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (966,X966) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (965,X965) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (964,X964) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (968,X968) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (961,X961) (813,X813) (963,X963) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (967,X967) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (960,X960) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100)
Input:
980
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (962,X962) (468,X468) (234,X234) (941,X941) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (977,X977) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (973,X973) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (969,X969) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (966,X966) (821,X821) (905,X905) (480,X480) (602,X602) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (974,X974) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (970,X970) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (965,X965) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (975,X975) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (979,X979) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (964,X964) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (968,X968) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (971,X971) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (978,X978) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (976,X976) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (961,X961) (813,X813) (963,X963) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (967,X967) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (960,X960) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100) (972,X972)
Input:
990
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (962,X962) (468,X468) (234,X234) (941,X941) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (977,X977) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (973,X973) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (969,X969) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (966,X966) (821,X821) (905,X905) (480,X480) (602,X602) (981,X981) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (411,X411) (988,X988) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (974,X974) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (980,X980) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (989,X989) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (970,X970) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (985,X985) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (984,X984) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (965,X965) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (975,X975) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (979,X979) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (964,X964) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (983,X983) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (986,X986) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (968,X968) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (971,X971) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (978,X978) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (976,X976) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (961,X961) (813,X813) (963,X963) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (967,X967) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (960,X960) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (987,X987) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (982,X982) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100) (972,X972)
Input:
1000
Output:
(645,X645) (892,X892) (69,X69) (809,X809) (629,X629) (365,X365) (138,X138) (760,X760) (101,X101) (479,X479) (347,X347) (846,X846) (909,X909) (333,X333) (628,X628) (249,X249) (893,X893) (518,X518) (962,X962) (468,X468) (234,X234) (941,X941) (777,X777) (555,X555) (666,X666) (88,X88) (481,X481) (352,X352) (408,X408) (977,X977) (170,X170) (523,X523) (582,X582) (762,X762) (115,X115) (683,X683) (730,X730) (217,X217) (276,X276) (994,X994) (308,X308) (741,X741) (5,X5) (873,X873) (449,X449) (120,X120) (247,X247) (379,X379) (878,X878) (440,X440) (655,X655) (511,X511) (614,X614) (269,X269) (677,X677) (202,X202) (597,X597) (861,X861) (10,X10) (385,X385) (384,X384) (56,X56) (533,X533) (550,X550) (142,X142) (500,X500) (797,X797) (715,X715) (472,X472) (814,X814) (698,X698) (747,X747) (913,X913) (945,X945) (340,X340) (538,X538) (153,X153) (930,X930) (670,X670) (829,X829) (174,X174) (404,X404) (898,X898) (185,X185) (42,X42) (782,X782) (709,X709) (841,X841) (417,X417) (24,X24) (973,X973) (885,X885) (288,X288) (301,X301) (320,X320) (565,X565) (436,X436) (37,X37) (25,X25) (651,X651) (257,X257) (389,X389) (52,X52) (724,X724) (14,X14) (570,X570) (184,X184) (719,X719) (785,X785) (372,X372) (504,X504) (110,X110) (587,X587) (619,X619) (838,X838) (917,X917) (702,X702) (751,X751) (802,X802) (125,X125) (344,X344) (934,X934) (357,X357) (196,X196) (949,X949) (542,X542) (460,X460) (157,X157) (817,X817) (902,X902) (559,X559) (638,X638) (853,X853) (189,X189) (20,X20) (421,X421) (870,X870) (46,X46) (969,X969) (93,X93) (606,X606) (284,X284) (770,X770) (881,X881) (416,X416) (325,X325) (152,X152) (228,X228) (289,X289) (448,X448) (57,X57) (316,X316) (78,X78) (261,X261) (29,X29) (216,X216) (475,X475) (924,X924) (492,X492) (164,X164) (756,X756) (789,X789) (179,X179) (591,X591) (443,X443) (321,X321) (376,X376) (623,X623) (211,X211) (646,X646) (253,X253) (485,X485) (834,X834) (106,X106) (238,X238) (121,X121) (514,X514) (937,X937) (348,X348) (574,X574) (806,X806) (84,X84) (353,X353) (966,X966) (821,X821) (905,X905) (480,X480) (602,X602) (981,X981) (766,X766) (147,X147) (397,X397) (687,X687) (280,X280) (61,X61) (634,X634) (877,X877) (692,X692) (734,X734) (221,X221) (293,X293) (956,X956) (866,X866) (453,X453) (132,X132) (774,X774) (396,X396) (89,X89) (133,X133) (660,X660) (998,X998) (411,X411) (988,X988) (116,X116) (243,X243) (428,X428) (1,X1) (265,X265) (849,X849) (507,X507) (527,X527) (312,X312) (74,X74) (206,X206) (307,X307) (292,X292) (233,X233) (452,X452) (6,X6) (920,X920) (248,X248) (60,X60) (380,X380) (117,X117) (512,X512) (942,X942) (439,X439) (678,X678) (270,X270) (529,X529) (661,X661) (546,X546) (793,X793) (925,X925) (85,X85) (201,X201) (761,X761) (810,X810) (381,X381) (220,X220) (366,X366) (534,X534) (102,X102) (714,X714) (798,X798) (334,X334) (910,X910) (957,X957) (894,X894) (746,X746) (825,X825) (778,X778) (952,X952) (302,X302) (260,X260) (862,X862) (349,X349) (28,X28) (38,X38) (598,X598) (160,X160) (820,X820) (561,X561) (392,X392) (297,X297) (70,X70) (424,X424) (192,X192) (407,X407) (693,X693) (630,X630) (429,X429) (275,X275) (788,X788) (21,X21) (137,X137) (165,X165) (815,X815) (729,X729) (33,X33) (92,X92) (916,X916) (467,X467) (229,X229) (847,X847) (566,X566) (484,X484) (252,X252) (197,X197) (361,X361) (65,X65) (625,X625) (879,X879) (852,X852) (435,X435) (97,X97) (329,X329) (665,X665) (583,X583) (522,X522) (830,X830) (889,X889) (461,X461) (493,X493) (757,X757) (682,X682) (551,X551) (710,X710) (456,X456) (842,X842) (324,X324) (974,X974) (285,X285) (224,X224) (519,X519) (742,X742) (578,X578) (697,X697) (874,X874) (317,X317) (650,X650) (948,X948) (156,X156) (615,X615) (725,X725) (980,X980) (403,X403) (9,X9) (188,X188) (388,X388) (53,X53) (356,X356) (169,X169) (593,X593) (141,X141) (869,X869) (610,X610) (783,X783) (420,X420) (499,X499) (989,X989) (857,X857) (109,X109) (328,X328) (471,X471) (256,X256) (884,X884) (488,X488) (124,X124) (225,X225) (339,X339) (933,X933) (77,X77) (554,X554) (753,X753) (193,X193) (537,X537) (669,X669) (901,X901) (686,X686) (476,X476) (642,X642) (526,X526) (637,X637) (489,X489) (590,X590) (679,X679) (970,X970) (547,X547) (212,X212) (706,X706) (96,X96) (622,X622) (837,X837) (393,X393) (647,X647) (997,X997) (985,X985) (701,X701) (515,X515) (738,X738) (654,X654) (457,X457) (984,X984) (173,X173) (911,X911) (721,X721) (13,X13) (129,X129) (569,X569) (41,X41) (779,X779) (371,X371) (503,X503) (605,X605) (134,X134) (73,X73) (128,X128) (343,X343) (237,X237) (105,X105) (244,X244) (792,X792) (2,X2) (938,X938) (266,X266) (633,X633) (360,X360) (805,X805) (205,X205) (508,X508) (311,X311) (921,X921) (541,X541) (657,X657) (765,X765) (398,X398) (558,X558) (674,X674) (530,X530) (953,X953) (773,X773) (794,X794) (586,X586) (662,X662) (718,X718) (888,X888) (926,X926) (906,X906) (298,X298) (412,X412) (965,X965) (750,X750) (618,X618) (425,X425) (513,X513) (430,X430) (824,X824) (166,X166) (32,X32) (34,X34) (148,X148) (264,X264) (45,X45) (856,X856) (161,X161) (745,X745) (279,X279) (64,X64) (573,X573) (180,X180) (689,X689) (296,X296) (17,X17) (444,X444) (149,X149) (375,X375) (733,X733) (601,X601) (584,X584) (819,X819) (562,X562) (904,X904) (975,X975) (176,X176) (423,X423) (694,X694) (191,X191) (402,X402) (732,X732) (22,X22) (44,X44) (843,X843) (772,X772) (286,X286) (743,X743) (875,X875) (826,X826) (577,X577) (711,X711) (579,X579) (291,X291) (958,X958) (59,X59) (118,X118) (281,X281) (204,X204) (545,X545) (259,X259) (27,X27) (413,X413) (641,X641) (71,X71) (391,X391) (12,X12) (445,X445) (936,X936) (382,X382) (54,X54) (572,X572) (313,X313) (611,X611) (787,X787) (144,X144) (713,X713) (498,X498) (49,X49) (466,X466) (335,X335) (236,X236) (919,X919) (804,X804) (181,X181) (704,X704) (947,X947) (350,X350) (540,X540) (86,X86) (159,X159) (672,X672) (764,X764) (979,X979) (604,X604) (187,X187) (900,X900) (406,X406) (172,X172) (831,X831) (113,X113) (681,X681) (219,X219) (274,X274) (784,X784) (419,X419) (81,X81) (736,X736) (377,X377) (990,X990) (996,X996) (230,X230) (362,X362) (451,X451) (76,X76) (567,X567) (7,X7) (245,X245) (737,X737) (318,X318) (509,X509) (880,X880) (39,X39) (649,X649) (434,X434) (98,X98) (616,X616) (303,X303) (271,X271) (208,X208) (599,X599) (863,X863) (890,X890) (477,X477) (811,X811) (387,X387) (494,X494) (631,X631) (758,X758) (345,X345) (858,X858) (367,X367) (552,X552) (535,X535) (816,X816) (103,X103) (609,X609) (323,X323) (594,X594) (140,X140) (799,X799) (213,X213) (726,X726) (621,X621) (91,X91) (483,X483) (848,X848) (700,X700) (520,X520) (66,X66) (240,X240) (251,X251) (895,X895) (964,X964) (626,X626) (915,X915) (769,X769) (943,X943) (668,X668) (155,X155) (198,X198) (108,X108) (330,X330) (462,X462) (932,X932) (912,X912) (685,X685) (521,X521) (983,X983) (130,X130) (399,X399) (959,X959) (768,X768) (827,X827) (636,X636) (695,X695) (278,X278) (868,X868) (780,X780) (455,X455) (883,X883) (223,X223) (608,X608) (394,X394) (986,X986) (306,X306) (135,X135) (563,X563) (299,X299) (226,X226) (3,X3) (267,X267) (851,X851) (505,X505) (438,X438) (431,X431) (241,X241) (80,X80) (653,X653) (922,X922) (167,X167) (35,X35) (658,X658) (473,X473) (722,X722) (490,X490) (675,X675) (426,X426) (589,X589) (162,X162) (531,X531) (944,X944) (795,X795) (680,X680) (663,X663) (548,X548) (927,X927) (374,X374) (255,X255) (648,X648) (209,X209) (487,X487) (112,X112) (812,X812) (749,X749) (617,X617) (516,X516) (939,X939) (342,X342) (123,X123) (355,X355) (754,X754) (553,X553) (968,X968) (458,X458) (823,X823) (836,X836) (194,X194) (145,X145) (776,X776) (48,X48) (525,X525) (712,X712) (557,X557) (580,X580) (855,X855) (690,X690) (63,X63) (640,X640) (295,X295) (18,X18) (872,X872) (705,X705) (282,X282) (150,X150) (707,X707) (887,X887) (414,X414) (971,X971) (95,X95) (327,X327) (954,X954) (739,X739) (409,X409) (263,X263) (310,X310) (993,X993) (50,X50) (67,X67) (199,X199) (673,X673) (177,X177) (791,X791) (182,X182) (331,X331) (441,X441) (16,X16) (585,X585) (370,X370) (717,X717) (502,X502) (840,X840) (463,X463) (127,X127) (338,X338) (470,X470) (576,X576) (951,X951) (808,X808) (359,X359) (643,X643) (544,X544) (907,X907) (31,X31) (744,X744) (336,X336) (703,X703) (656,X656) (613,X613) (154,X154) (600,X600) (864,X864) (11,X11) (727,X727) (72,X72) (175,X175) (978,X978) (386,X386) (314,X314) (446,X446) (571,X571) (595,X595) (612,X612) (143,X143) (497,X497) (43,X43) (876,X876) (859,X859) (991,X991) (845,X845) (250,X250) (465,X465) (231,X231) (627,X627) (450,X450) (99,X99) (363,X363) (556,X556) (931,X931) (539,X539) (87,X87) (482,X482) (203,X203) (671,X671) (976,X976) (688,X688) (903,X903) (524,X524) (581,X581) (495,X495) (759,X759) (891,X891) (218,X218) (104,X104) (368,X368) (844,X844) (771,X771) (588,X588) (699,X699) (961,X961) (813,X813) (963,X963) (517,X517) (319,X319) (896,X896) (748,X748) (40,X40) (304,X304) (26,X26) (946,X946) (258,X258) (158,X158) (652,X652) (351,X351) (390,X390) (186,X186) (55,X55) (114,X114) (632,X632) (401,X401) (171,X171) (139,X139) (731,X731) (418,X418) (786,X786) (781,X781) (23,X23) (995,X995) (8,X8) (75,X75) (568,X568) (290,X290) (119,X119) (58,X58) (914,X914) (378,X378) (235,X235) (246,X246) (433,X433) (510,X510) (207,X207) (667,X667) (929,X929) (478,X478) (763,X763) (272,X272) (383,X383) (899,X899) (832,X832) (684,X684) (346,X346) (549,X549) (536,X536) (82,X82) (716,X716) (214,X214) (800,X800) (287,X287) (151,X151) (300,X300) (999,X999) (620,X620) (752,X752) (447,X447) (315,X315) (432,X432) (833,X833) (410,X410) (36,X36) (967,X967) (950,X950) (168,X168) (835,X835) (262,X262) (146,X146) (30,X30) (51,X51) (818,X818) (405,X405) (854,X854) (190,X190) (183,X183) (19,X19) (422,X422) (790,X790) (867,X867) (273,X273) (865,X865) (373,X373) (603,X603) (735,X735) (564,X564) (305,X305) (210,X210) (326,X326) (107,X107) (239,X239) (242,X242) (4,X4) (294,X294) (126,X126) (918,X918) (801,X801) (136,X136) (341,X341) (506,X506) (268,X268) (358,X358) (79,X79) (807,X807) (195,X195) (437,X437) (897,X897) (474,X474) (767,X767) (664,X664) (400,X400) (828,X828) (960,X960) (635,X635) (532,X532) (696,X696) (720,X720) (955,X955) (94,X94) (796,X796) (283,X283) (886,X886) (928,X928) (415,X415) (395,X395) (624,X624) (839,X839) (728,X728) (740,X740) (987,X987) (464,X464) (332,X332) (575,X575) (427,X427) (860,X860) (596,X596) (528,X528) (644,X644) (459,X459) (908,X908) (992,X992) (723,X723) (822,X822) (131,X131) (47,X47) (15,X15) (163,X163) (200,X200) (850,X850) (68,X68) (982,X982) (62,X62) (178,X178) (277,X277) (691,X691) (442,X442) (871,X871) (501,X501) (369,X369) (607,X607) (90,X90) (111,X111) (254,X254) (227,X227) (322,X322) (486,X486) (803,X803) (337,X337) (122,X122) (469,X469) (940,X940) (354,X354) (83,X83) (935,X935) (923,X923) (309,X309) (659,X659) (543,X543) (215,X215) (775,X775) (560,X560) (639,X639) (755,X755) (676,X676) (491,X491) (222,X222) (592,X592) (496,X496) (454,X454) (364,X364) (708,X708) (232,X232) (882,X882) (100,X100) (972,X972)
The overview over the suite is in chapter Suite Large Immutable Map.
The report for this suite was generated in 296.224 seconds.