Checks that a map really contains a value.
Dataset | Length | Min | Max | Average | Median | Standard Deviation | Factor (Average) | Factor (Median) |
0 | 996 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
20 | 998 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
40 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
60 | 990 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
80 | 977 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
100 | 992 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
120 | 993 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
140 | 989 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
160 | 989 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
180 | 979 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
200 | 990 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
220 | 986 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
240 | 986 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
260 | 987 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
280 | 986 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
300 | 983 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
320 | 983 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
340 | 976 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 1.0000 | 1.0000 |
360 | 972 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
380 | 971 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
400 | 985 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
420 | 981 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
440 | 986 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
460 | 982 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
480 | 985 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
500 | 980 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
520 | 984 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
540 | 975 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
560 | 972 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
580 | 980 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
600 | 976 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
620 | 979 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
640 | 972 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
660 | 978 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
680 | 977 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
700 | 978 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
720 | 975 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
740 | 977 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
760 | 965 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
780 | 977 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
800 | 967 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
820 | 965 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
840 | 967 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
860 | 973 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
880 | 978 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
900 | 975 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
920 | 965 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
940 | 965 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
960 | 970 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
980 | 961 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
1000 | 962 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0000 | 1.0000 |
Input:
0
Output:
false
Input:
20
Output:
true
Input:
40
Output:
true
Input:
60
Output:
true
Input:
80
Output:
true
Input:
100
Output:
true
Input:
120
Output:
true
Input:
140
Output:
true
Input:
160
Output:
true
Input:
180
Output:
true
Input:
200
Output:
true
Input:
220
Output:
true
Input:
240
Output:
true
Input:
260
Output:
true
Input:
280
Output:
true
Input:
300
Output:
true
Input:
320
Output:
true
Input:
340
Output:
true
Input:
360
Output:
true
Input:
380
Output:
true
Input:
400
Output:
true
Input:
420
Output:
true
Input:
440
Output:
true
Input:
460
Output:
true
Input:
480
Output:
true
Input:
500
Output:
true
Input:
520
Output:
true
Input:
540
Output:
true
Input:
560
Output:
true
Input:
580
Output:
true
Input:
600
Output:
true
Input:
620
Output:
true
Input:
640
Output:
true
Input:
660
Output:
true
Input:
680
Output:
true
Input:
700
Output:
true
Input:
720
Output:
true
Input:
740
Output:
true
Input:
760
Output:
true
Input:
780
Output:
true
Input:
800
Output:
true
Input:
820
Output:
true
Input:
840
Output:
true
Input:
860
Output:
true
Input:
880
Output:
true
Input:
900
Output:
true
Input:
920
Output:
true
Input:
940
Output:
true
Input:
960
Output:
true
Input:
980
Output:
true
Input:
1000
Output:
true
The overview over the suite is in chapter Suite Large Mutable Map.
Checks that a map really does not contain a value.
Dataset | Length | Min | Max | Average | Median | Standard Deviation | Factor (Average) | Factor (Median) |
0 | 994 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0404 | 1.0000 |
20 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9086 | 1.0000 |
40 | 984 | 0.0000 | 0.0004 | 0.0004 | 0.0004 | 0.0001 | 1.7653 | 1.0000 |
60 | 955 | 0.0000 | 0.0004 | 0.0004 | 0.0004 | 0.0000 | 1.3607 | 1.0000 |
80 | 992 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 1.4054 | 1.0000 |
100 | 972 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0001 | 1.3665 | 1.0000 |
120 | 977 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0001 | 1.3113 | 1.0000 |
140 | 967 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0001 | 1.4224 | 1.0000 |
160 | 965 | 0.0000 | 0.0004 | 0.0004 | 0.0004 | 0.0001 | 1.5091 | 1.0000 |
180 | 993 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.4479 | 1.0000 |
200 | 991 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 1.1020 | 1.0000 |
220 | 990 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.1286 | 1.0000 |
240 | 982 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.1410 | 1.0000 |
260 | 987 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0873 | 1.0000 |
280 | 984 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.1229 | 1.0000 |
300 | 978 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.1084 | 1.0000 |
320 | 980 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0966 | 1.0000 |
340 | 969 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.9828 | 1.0000 |
360 | 978 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0143 | 1.0000 |
380 | 963 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0110 | 1.0000 |
400 | 983 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0084 | 1.0000 |
420 | 980 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9614 | 1.0000 |
440 | 987 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0292 | 1.0000 |
460 | 981 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9244 | 1.0000 |
480 | 987 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9725 | 1.0000 |
500 | 987 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9929 | 1.0000 |
520 | 990 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9846 | 1.0000 |
540 | 984 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 1.0206 | 1.0000 |
560 | 981 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9114 | 1.0000 |
580 | 984 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9813 | 1.0000 |
600 | 985 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9829 | 1.0000 |
620 | 977 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0096 | 1.0000 |
640 | 975 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9097 | 1.0000 |
660 | 981 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0818 | 1.0000 |
680 | 976 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0030 | 1.0000 |
700 | 978 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8911 | 1.0000 |
720 | 969 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.9356 | 1.0000 |
740 | 978 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.9291 | 1.0000 |
760 | 981 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.9673 | 1.0000 |
780 | 974 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.9790 | 1.0000 |
800 | 965 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0662 | 1.0000 |
820 | 965 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0183 | 1.0000 |
840 | 965 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0627 | 1.0000 |
860 | 980 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0252 | 1.0000 |
880 | 971 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0522 | 1.0000 |
900 | 979 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0193 | 1.0000 |
920 | 973 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0100 | 1.0000 |
940 | 970 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.9659 | 1.0000 |
960 | 975 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.9866 | 1.0000 |
980 | 977 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.8882 | 1.0000 |
1000 | 970 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.0203 | 1.0000 |
Input:
0
Output:
false
Input:
20
Output:
false
Input:
40
Output:
false
Input:
60
Output:
false
Input:
80
Output:
false
Input:
100
Output:
false
Input:
120
Output:
false
Input:
140
Output:
false
Input:
160
Output:
false
Input:
180
Output:
false
Input:
200
Output:
false
Input:
220
Output:
false
Input:
240
Output:
false
Input:
260
Output:
false
Input:
280
Output:
false
Input:
300
Output:
false
Input:
320
Output:
false
Input:
340
Output:
false
Input:
360
Output:
false
Input:
380
Output:
false
Input:
400
Output:
false
Input:
420
Output:
false
Input:
440
Output:
false
Input:
460
Output:
false
Input:
480
Output:
false
Input:
500
Output:
false
Input:
520
Output:
false
Input:
540
Output:
false
Input:
560
Output:
false
Input:
580
Output:
false
Input:
600
Output:
false
Input:
620
Output:
false
Input:
640
Output:
false
Input:
660
Output:
false
Input:
680
Output:
false
Input:
700
Output:
false
Input:
720
Output:
false
Input:
740
Output:
false
Input:
760
Output:
false
Input:
780
Output:
false
Input:
800
Output:
false
Input:
820
Output:
false
Input:
840
Output:
false
Input:
860
Output:
false
Input:
880
Output:
false
Input:
900
Output:
false
Input:
920
Output:
false
Input:
940
Output:
false
Input:
960
Output:
false
Input:
980
Output:
false
Input:
1000
Output:
false
The overview over the suite is in chapter Suite Large Mutable Map.
Adds a new entry to a map.
Dataset | Length | Min | Max | Average | Median | Standard Deviation | Factor (Average) | Factor (Median) |
0 | 985 | 0.0000 | 0.0004 | 0.0004 | 0.0004 | 0.0001 | 1.3567 | 1.0000 |
20 | 996 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.9737 | 1.0000 |
40 | 997 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.3711 | 1.0000 |
60 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.8007 | 1.0000 |
80 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.8740 | 1.0000 |
100 | 995 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0483 | 1.0000 |
120 | 994 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.9304 | 1.0000 |
140 | 988 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 1.0388 | 1.0000 |
160 | 989 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0868 | 1.0000 |
180 | 968 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 1.0237 | 1.0000 |
200 | 983 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7686 | 1.0000 |
220 | 978 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.8188 | 1.0000 |
240 | 974 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7593 | 1.0000 |
260 | 975 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7718 | 1.0000 |
280 | 970 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7817 | 1.0000 |
300 | 959 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7710 | 1.0000 |
320 | 991 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9286 | 1.0000 |
340 | 952 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.7593 | 1.0000 |
360 | 992 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 0.9652 | 1.0000 |
380 | 994 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0001 | 0.9608 | 1.0000 |
400 | 989 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 1.4466 | 1.0000 |
420 | 986 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.4210 | 1.0000 |
440 | 983 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.5218 | 1.0000 |
460 | 956 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.5607 | 1.0000 |
480 | 994 | 0.0000 | 0.0012 | 0.0005 | 0.0004 | 0.0002 | 1.6404 | 1.0000 |
500 | 951 | 0.0000 | 0.0012 | 0.0005 | 0.0004 | 0.0002 | 1.5044 | 1.0000 |
520 | 993 | 0.0000 | 0.0012 | 0.0005 | 0.0004 | 0.0002 | 1.6465 | 1.0000 |
540 | 984 | 0.0000 | 0.0012 | 0.0006 | 0.0004 | 0.0003 | 1.6971 | 1.0000 |
560 | 990 | 0.0000 | 0.0012 | 0.0006 | 0.0004 | 0.0003 | 1.6585 | 1.0000 |
580 | 989 | 0.0000 | 0.0012 | 0.0006 | 0.0004 | 0.0003 | 1.6638 | 1.0000 |
600 | 991 | 0.0000 | 0.0012 | 0.0006 | 0.0004 | 0.0003 | 1.6542 | 1.0000 |
620 | 965 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.4179 | 1.0000 |
640 | 993 | 0.0000 | 0.0012 | 0.0006 | 0.0004 | 0.0002 | 1.4728 | 1.0000 |
660 | 983 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.4655 | 1.0000 |
680 | 986 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.3357 | 1.0000 |
700 | 979 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.3714 | 1.0000 |
720 | 967 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.3218 | 1.0000 |
740 | 954 | 0.0004 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.3696 | 1.0000 |
760 | 993 | 0.0004 | 0.0012 | 0.0006 | 0.0004 | 0.0002 | 1.5114 | 1.0000 |
780 | 971 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.2627 | 1.0000 |
800 | 973 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.2671 | 1.0000 |
820 | 971 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.2116 | 1.0000 |
840 | 961 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.2654 | 1.0000 |
860 | 967 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.2800 | 1.0000 |
880 | 966 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.2859 | 1.0000 |
900 | 955 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.2321 | 1.0000 |
920 | 962 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.2442 | 1.0000 |
940 | 966 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.1922 | 1.0000 |
960 | 969 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.1688 | 1.0000 |
980 | 967 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.1838 | 1.0000 |
1000 | 954 | 0.0000 | 0.0008 | 0.0005 | 0.0004 | 0.0002 | 1.1733 | 1.0000 |
Input:
0
Output:
(-1,X-1)
Input:
20
Output:
(16,X16) (15,X15) (5,X5) (10,X10) (11,X11) (3,X3) (7,X7) (8,X8) (17,X17) (12,X12) (-1,X-1) (4,X4) (13,X13) (1,X1) (6,X6) (2,X2) (19,X19) (14,X14) (18,X18) (0,X0) (9,X9)
Input:
40
Output:
(10,X10) (5,X5) (15,X15) (23,X23) (11,X11) (16,X16) (21,X21) (35,X35) (8,X8) (3,X3) (7,X7) (12,X12) (17,X17) (37,X37) (26,X26) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (38,X38) (33,X33) (1,X1) (6,X6) (30,X30) (25,X25) (20,X20) (39,X39) (34,X34) (2,X2) (27,X27) (22,X22) (32,X32) (14,X14) (19,X19) (36,X36) (31,X31) (28,X28) (9,X9) (0,X0) (18,X18)
Input:
60
Output:
(23,X23) (5,X5) (10,X10) (15,X15) (53,X53) (16,X16) (11,X11) (48,X48) (58,X58) (21,X21) (57,X57) (35,X35) (3,X3) (8,X8) (40,X40) (45,X45) (7,X7) (44,X44) (54,X54) (49,X49) (17,X17) (12,X12) (37,X37) (42,X42) (26,X26) (56,X56) (51,X51) (-1,X-1) (4,X4) (24,X24) (13,X13) (29,X29) (1,X1) (33,X33) (38,X38) (46,X46) (6,X6) (43,X43) (52,X52) (47,X47) (20,X20) (25,X25) (30,X30) (2,X2) (34,X34) (39,X39) (50,X50) (55,X55) (59,X59) (22,X22) (27,X27) (19,X19) (14,X14) (32,X32) (31,X31) (36,X36) (41,X41) (28,X28) (9,X9) (18,X18) (0,X0)
Input:
80
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (53,X53) (16,X16) (11,X11) (48,X48) (63,X63) (58,X58) (21,X21) (67,X67) (62,X62) (57,X57) (35,X35) (3,X3) (8,X8) (40,X40) (45,X45) (7,X7) (44,X44) (54,X54) (49,X49) (17,X17) (12,X12) (79,X79) (74,X74) (37,X37) (42,X42) (26,X26) (56,X56) (51,X51) (-1,X-1) (4,X4) (24,X24) (13,X13) (29,X29) (75,X75) (70,X70) (1,X1) (33,X33) (38,X38) (46,X46) (6,X6) (43,X43) (52,X52) (47,X47) (20,X20) (25,X25) (30,X30) (2,X2) (34,X34) (39,X39) (72,X72) (77,X77) (50,X50) (55,X55) (64,X64) (59,X59) (22,X22) (27,X27) (69,X69) (19,X19) (14,X14) (32,X32) (78,X78) (73,X73) (68,X68) (31,X31) (36,X36) (41,X41) (65,X65) (28,X28) (66,X66) (61,X61) (76,X76) (71,X71) (9,X9) (18,X18) (0,X0)
Input:
100
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (67,X67) (97,X97) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (96,X96) (51,X51) (88,X88) (93,X93) (56,X56) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (47,X47) (52,X52) (89,X89) (20,X20) (30,X30) (25,X25) (34,X34) (39,X39) (2,X2) (72,X72) (77,X77) (82,X82) (81,X81) (86,X86) (91,X91) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (98,X98) (61,X61) (66,X66) (71,X71) (76,X76) (9,X9) (0,X0) (18,X18)
Input:
120
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (104,X104) (67,X67) (97,X97) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (96,X96) (101,X101) (106,X106) (51,X51) (88,X88) (93,X93) (56,X56) (102,X102) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (118,X118) (47,X47) (52,X52) (89,X89) (20,X20) (30,X30) (25,X25) (105,X105) (100,X100) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (119,X119) (114,X114) (77,X77) (82,X82) (81,X81) (86,X86) (91,X91) (111,X111) (116,X116) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (115,X115) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (103,X103) (98,X98) (61,X61) (66,X66) (108,X108) (71,X71) (113,X113) (76,X76) (107,X107) (112,X112) (117,X117) (9,X9) (0,X0) (18,X18)
Input:
140
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (104,X104) (67,X67) (137,X137) (139,X139) (134,X134) (97,X97) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (129,X129) (124,X124) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (133,X133) (96,X96) (138,X138) (101,X101) (130,X130) (125,X125) (106,X106) (51,X51) (88,X88) (93,X93) (56,X56) (131,X131) (102,X102) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (118,X118) (47,X47) (52,X52) (89,X89) (127,X127) (122,X122) (132,X132) (136,X136) (20,X20) (30,X30) (25,X25) (105,X105) (100,X100) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (119,X119) (114,X114) (77,X77) (82,X82) (123,X123) (81,X81) (86,X86) (128,X128) (91,X91) (111,X111) (116,X116) (126,X126) (121,X121) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (115,X115) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (135,X135) (103,X103) (98,X98) (61,X61) (66,X66) (108,X108) (71,X71) (113,X113) (76,X76) (107,X107) (112,X112) (117,X117) (9,X9) (0,X0) (18,X18)
Input:
160
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (104,X104) (67,X67) (137,X137) (142,X142) (152,X152) (147,X147) (139,X139) (134,X134) (97,X97) (151,X151) (146,X146) (156,X156) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (129,X129) (124,X124) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (133,X133) (96,X96) (138,X138) (101,X101) (143,X143) (130,X130) (125,X125) (106,X106) (51,X51) (88,X88) (93,X93) (56,X56) (131,X131) (102,X102) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (150,X150) (155,X155) (118,X118) (47,X47) (52,X52) (89,X89) (159,X159) (127,X127) (122,X122) (132,X132) (136,X136) (141,X141) (20,X20) (30,X30) (25,X25) (105,X105) (100,X100) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (119,X119) (114,X114) (77,X77) (82,X82) (144,X144) (123,X123) (81,X81) (86,X86) (128,X128) (91,X91) (148,X148) (111,X111) (153,X153) (116,X116) (158,X158) (126,X126) (121,X121) (157,X157) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (115,X115) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (140,X140) (135,X135) (103,X103) (98,X98) (61,X61) (66,X66) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (107,X107) (154,X154) (149,X149) (112,X112) (117,X117) (9,X9) (0,X0) (18,X18)
Input:
180
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (152,X152) (147,X147) (139,X139) (134,X134) (97,X97) (151,X151) (146,X146) (156,X156) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (129,X129) (124,X124) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (170,X170) (133,X133) (96,X96) (175,X175) (138,X138) (101,X101) (143,X143) (130,X130) (125,X125) (106,X106) (51,X51) (88,X88) (93,X93) (56,X56) (163,X163) (173,X173) (168,X168) (131,X131) (102,X102) (172,X172) (177,X177) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (150,X150) (155,X155) (118,X118) (165,X165) (160,X160) (47,X47) (52,X52) (89,X89) (164,X164) (159,X159) (127,X127) (122,X122) (169,X169) (132,X132) (178,X178) (136,X136) (141,X141) (171,X171) (176,X176) (20,X20) (30,X30) (25,X25) (105,X105) (100,X100) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (119,X119) (114,X114) (77,X77) (82,X82) (144,X144) (123,X123) (81,X81) (86,X86) (128,X128) (91,X91) (161,X161) (166,X166) (148,X148) (111,X111) (153,X153) (116,X116) (158,X158) (126,X126) (121,X121) (162,X162) (157,X157) (167,X167) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (115,X115) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (140,X140) (135,X135) (103,X103) (98,X98) (61,X61) (66,X66) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (107,X107) (154,X154) (149,X149) (112,X112) (117,X117) (9,X9) (0,X0) (18,X18)
Input:
200
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (151,X151) (188,X188) (193,X193) (156,X156) (181,X181) (186,X186) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (163,X163) (131,X131) (168,X168) (173,X173) (102,X102) (172,X172) (177,X177) (182,X182) (191,X191) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (171,X171) (176,X176) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (198,X198) (161,X161) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (157,X157) (162,X162) (167,X167) (50,X50) (55,X55) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (187,X187) (192,X192) (197,X197) (196,X196) (9,X9) (18,X18) (0,X0)
Input:
220
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (151,X151) (188,X188) (193,X193) (156,X156) (213,X213) (218,X218) (181,X181) (186,X186) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (219,X219) (182,X182) (191,X191) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (207,X207) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (211,X211) (216,X216) (208,X208) (171,X171) (176,X176) (217,X217) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (198,X198) (161,X161) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (50,X50) (55,X55) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (187,X187) (192,X192) (197,X197) (202,X202) (196,X196) (201,X201) (206,X206) (9,X9) (18,X18) (0,X0)
Input:
240
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (213,X213) (218,X218) (181,X181) (223,X223) (186,X186) (228,X228) (222,X222) (227,X227) (232,X232) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (219,X219) (182,X182) (191,X191) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (207,X207) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (211,X211) (216,X216) (221,X221) (226,X226) (208,X208) (171,X171) (176,X176) (217,X217) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (237,X237) (50,X50) (55,X55) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (224,X224) (187,X187) (229,X229) (192,X192) (234,X234) (197,X197) (239,X239) (202,X202) (233,X233) (196,X196) (238,X238) (201,X201) (206,X206) (9,X9) (231,X231) (236,X236) (18,X18) (0,X0)
Input:
260
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (223,X223) (186,X186) (228,X228) (259,X259) (222,X222) (227,X227) (232,X232) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (257,X257) (254,X254) (191,X191) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (244,X244) (207,X207) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (248,X248) (211,X211) (253,X253) (216,X216) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (217,X217) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (237,X237) (242,X242) (247,X247) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (224,X224) (187,X187) (229,X229) (192,X192) (234,X234) (197,X197) (239,X239) (202,X202) (233,X233) (196,X196) (238,X238) (201,X201) (243,X243) (206,X206) (9,X9) (231,X231) (236,X236) (241,X241) (18,X18) (0,X0)
Input:
280
Output:
(60,X60) (23,X23) (277,X277) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (264,X264) (227,X227) (269,X269) (232,X232) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (257,X257) (262,X262) (254,X254) (191,X191) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (244,X244) (207,X207) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (248,X248) (211,X211) (253,X253) (216,X216) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (267,X267) (217,X217) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (274,X274) (237,X237) (279,X279) (242,X242) (247,X247) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (233,X233) (196,X196) (238,X238) (201,X201) (243,X243) (206,X206) (9,X9) (268,X268) (231,X231) (273,X273) (236,X236) (278,X278) (241,X241) (18,X18) (0,X0)
Input:
300
Output:
(60,X60) (23,X23) (277,X277) (5,X5) (282,X282) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (264,X264) (227,X227) (269,X269) (232,X232) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (294,X294) (257,X257) (299,X299) (262,X262) (291,X291) (254,X254) (191,X191) (298,X298) (-1,X-1) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (283,X283) (288,X288) (267,X267) (217,X217) (287,X287) (292,X292) (20,X20) (297,X297) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (274,X274) (237,X237) (279,X279) (242,X242) (284,X284) (247,X247) (289,X289) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (293,X293) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (9,X9) (268,X268) (231,X231) (273,X273) (236,X236) (278,X278) (241,X241) (18,X18) (0,X0)
Input:
320
Output:
(60,X60) (23,X23) (314,X314) (277,X277) (5,X5) (319,X319) (282,X282) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (300,X300) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (301,X301) (264,X264) (227,X227) (306,X306) (269,X269) (232,X232) (307,X307) (35,X35) (312,X312) (3,X3) (40,X40) (317,X317) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (294,X294) (257,X257) (299,X299) (262,X262) (304,X304) (291,X291) (254,X254) (191,X191) (298,X298) (303,X303) (-1,X-1) (308,X308) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (283,X283) (288,X288) (267,X267) (217,X217) (287,X287) (292,X292) (20,X20) (297,X297) (25,X25) (302,X302) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (311,X311) (274,X274) (237,X237) (316,X316) (279,X279) (242,X242) (284,X284) (247,X247) (289,X289) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (293,X293) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (309,X309) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (313,X313) (318,X318) (9,X9) (305,X305) (268,X268) (231,X231) (310,X310) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (18,X18) (0,X0)
Input:
340
Output:
(332,X332) (60,X60) (23,X23) (314,X314) (277,X277) (5,X5) (319,X319) (282,X282) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (300,X300) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (301,X301) (264,X264) (227,X227) (306,X306) (269,X269) (232,X232) (307,X307) (35,X35) (312,X312) (3,X3) (40,X40) (317,X317) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (326,X326) (331,X331) (294,X294) (257,X257) (336,X336) (299,X299) (262,X262) (304,X304) (291,X291) (254,X254) (191,X191) (335,X335) (298,X298) (303,X303) (-1,X-1) (308,X308) (4,X4) (333,X333) (24,X24) (338,X338) (29,X29) (13,X13) (120,X120) (337,X337) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (320,X320) (283,X283) (325,X325) (288,X288) (330,X330) (267,X267) (217,X217) (324,X324) (287,X287) (329,X329) (292,X292) (20,X20) (334,X334) (297,X297) (25,X25) (339,X339) (302,X302) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (311,X311) (274,X274) (237,X237) (316,X316) (279,X279) (242,X242) (321,X321) (284,X284) (247,X247) (289,X289) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (293,X293) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (328,X328) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (309,X309) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (313,X313) (318,X318) (9,X9) (323,X323) (305,X305) (268,X268) (231,X231) (310,X310) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (322,X322) (327,X327) (18,X18) (0,X0)
Input:
360
Output:
(332,X332) (60,X60) (23,X23) (314,X314) (277,X277) (5,X5) (356,X356) (319,X319) (282,X282) (10,X10) (15,X15) (357,X357) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (300,X300) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (301,X301) (264,X264) (227,X227) (306,X306) (269,X269) (232,X232) (344,X344) (307,X307) (35,X35) (349,X349) (312,X312) (3,X3) (40,X40) (354,X354) (317,X317) (8,X8) (45,X45) (348,X348) (353,X353) (7,X7) (44,X44) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (326,X326) (331,X331) (294,X294) (257,X257) (336,X336) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (335,X335) (298,X298) (340,X340) (303,X303) (-1,X-1) (345,X345) (308,X308) (4,X4) (333,X333) (24,X24) (338,X338) (29,X29) (343,X343) (13,X13) (120,X120) (337,X337) (83,X83) (46,X46) (342,X342) (70,X70) (33,X33) (347,X347) (75,X75) (1,X1) (38,X38) (352,X352) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (320,X320) (283,X283) (325,X325) (288,X288) (330,X330) (267,X267) (217,X217) (324,X324) (287,X287) (329,X329) (292,X292) (20,X20) (334,X334) (297,X297) (25,X25) (339,X339) (302,X302) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (311,X311) (274,X274) (237,X237) (316,X316) (279,X279) (242,X242) (321,X321) (284,X284) (247,X247) (289,X289) (252,X252) (359,X359) (50,X50) (246,X246) (55,X55) (351,X351) (251,X251) (293,X293) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (328,X328) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (346,X346) (309,X309) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (350,X350) (313,X313) (355,X355) (318,X318) (9,X9) (323,X323) (305,X305) (268,X268) (231,X231) (310,X310) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (322,X322) (327,X327) (18,X18) (0,X0)
Input:
380
Output:
(369,X369) (332,X332) (60,X60) (23,X23) (314,X314) (277,X277) (5,X5) (356,X356) (319,X319) (282,X282) (10,X10) (15,X15) (357,X357) (85,X85) (11,X11) (48,X48) (362,X362) (90,X90) (53,X53) (16,X16) (367,X367) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (300,X300) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (301,X301) (264,X264) (227,X227) (306,X306) (269,X269) (232,X232) (376,X376) (344,X344) (307,X307) (35,X35) (349,X349) (312,X312) (3,X3) (40,X40) (354,X354) (317,X317) (8,X8) (45,X45) (348,X348) (353,X353) (7,X7) (44,X44) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (326,X326) (331,X331) (294,X294) (257,X257) (336,X336) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (335,X335) (298,X298) (340,X340) (303,X303) (-1,X-1) (345,X345) (308,X308) (4,X4) (370,X370) (333,X333) (24,X24) (375,X375) (338,X338) (29,X29) (343,X343) (13,X13) (120,X120) (374,X374) (337,X337) (83,X83) (46,X46) (379,X379) (342,X342) (70,X70) (33,X33) (347,X347) (75,X75) (1,X1) (38,X38) (352,X352) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (320,X320) (283,X283) (325,X325) (288,X288) (330,X330) (267,X267) (217,X217) (361,X361) (324,X324) (287,X287) (366,X366) (329,X329) (292,X292) (20,X20) (371,X371) (334,X334) (297,X297) (25,X25) (339,X339) (302,X302) (30,X30) (372,X372) (100,X100) (377,X377) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (311,X311) (274,X274) (237,X237) (316,X316) (279,X279) (242,X242) (321,X321) (284,X284) (247,X247) (289,X289) (252,X252) (359,X359) (50,X50) (364,X364) (246,X246) (55,X55) (351,X351) (251,X251) (293,X293) (363,X363) (368,X368) (59,X59) (22,X22) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (346,X346) (309,X309) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (350,X350) (313,X313) (355,X355) (318,X318) (9,X9) (360,X360) (323,X323) (305,X305) (268,X268) (231,X231) (310,X310) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (322,X322) (327,X327) (18,X18) (0,X0)
Input:
400
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (389,X389) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (94,X94) (57,X57) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (124,X124) (87,X87) (129,X129) (92,X92) (74,X74) (37,X37) (388,X388) (42,X42) (79,X79) (393,X393) (84,X84) (26,X26) (170,X170) (133,X133) (96,X96) (175,X175) (138,X138) (101,X101) (180,X180) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (130,X130) (93,X93) (56,X56) (163,X163) (200,X200) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (387,X387) (392,X392) (120,X120) (46,X46) (83,X83) (374,X374) (337,X337) (33,X33) (70,X70) (342,X342) (379,X379) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (159,X159) (122,X122) (164,X164) (127,X127) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (100,X100) (372,X372) (105,X105) (377,X377) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (114,X114) (77,X77) (119,X119) (82,X82) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (148,X148) (111,X111) (190,X190) (153,X153) (116,X116) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (364,X364) (55,X55) (246,X246) (251,X251) (351,X351) (293,X293) (363,X363) (59,X59) (368,X368) (22,X22) (27,X27) (64,X64) (373,X373) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (398,X398) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (135,X135) (98,X98) (61,X61) (140,X140) (103,X103) (66,X66) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
420
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (389,X389) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (403,X403) (94,X94) (57,X57) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (124,X124) (87,X87) (129,X129) (92,X92) (74,X74) (37,X37) (388,X388) (42,X42) (79,X79) (393,X393) (84,X84) (26,X26) (170,X170) (133,X133) (96,X96) (175,X175) (138,X138) (101,X101) (180,X180) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (163,X163) (200,X200) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (387,X387) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (159,X159) (122,X122) (164,X164) (127,X127) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (409,X409) (100,X100) (372,X372) (414,X414) (105,X105) (377,X377) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (413,X413) (418,X418) (109,X109) (72,X72) (114,X114) (77,X77) (119,X119) (82,X82) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (148,X148) (111,X111) (190,X190) (153,X153) (116,X116) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (398,X398) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (407,X407) (135,X135) (98,X98) (61,X61) (412,X412) (140,X140) (103,X103) (66,X66) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
440
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (403,X403) (94,X94) (57,X57) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (433,X433) (124,X124) (87,X87) (438,X438) (129,X129) (92,X92) (74,X74) (37,X37) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (170,X170) (133,X133) (96,X96) (175,X175) (138,X138) (101,X101) (180,X180) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (163,X163) (200,X200) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (422,X422) (150,X150) (155,X155) (427,X427) (118,X118) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (159,X159) (122,X122) (164,X164) (127,X127) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (409,X409) (100,X100) (372,X372) (414,X414) (105,X105) (377,X377) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (413,X413) (418,X418) (109,X109) (72,X72) (423,X423) (114,X114) (77,X77) (428,X428) (119,X119) (82,X82) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (148,X148) (111,X111) (190,X190) (153,X153) (116,X116) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (439,X439) (407,X407) (135,X135) (98,X98) (61,X61) (412,X412) (140,X140) (103,X103) (66,X66) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
460
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (433,X433) (124,X124) (87,X87) (438,X438) (129,X129) (92,X92) (74,X74) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (442,X442) (170,X170) (133,X133) (96,X96) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (163,X163) (200,X200) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (459,X459) (422,X422) (150,X150) (155,X155) (427,X427) (118,X118) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (159,X159) (122,X122) (164,X164) (127,X127) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (423,X423) (114,X114) (77,X77) (428,X428) (119,X119) (82,X82) (448,X448) (453,X453) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (190,X190) (153,X153) (116,X116) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (439,X439) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
480
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (474,X474) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (472,X472) (163,X163) (200,X200) (477,X477) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (459,X459) (422,X422) (150,X150) (464,X464) (155,X155) (427,X427) (118,X118) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (463,X463) (468,X468) (159,X159) (122,X122) (473,X473) (164,X164) (127,X127) (478,X478) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (448,X448) (453,X453) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (462,X462) (190,X190) (153,X153) (116,X116) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (476,X476) (439,X439) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
500
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (474,X474) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (483,X483) (174,X174) (137,X137) (488,X488) (179,X179) (142,X142) (493,X493) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (492,X492) (183,X183) (146,X146) (497,X497) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (472,X472) (163,X163) (200,X200) (477,X477) (168,X168) (131,X131) (205,X205) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (464,X464) (155,X155) (427,X427) (118,X118) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (463,X463) (468,X468) (159,X159) (122,X122) (473,X473) (164,X164) (127,X127) (478,X478) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (498,X498) (485,X485) (448,X448) (490,X490) (453,X453) (144,X144) (81,X81) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (487,X487) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
520
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (483,X483) (174,X174) (137,X137) (488,X488) (179,X179) (142,X142) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (492,X492) (183,X183) (146,X146) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (509,X509) (472,X472) (163,X163) (200,X200) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (518,X518) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (498,X498) (503,X503) (485,X485) (448,X448) (490,X490) (453,X453) (144,X144) (81,X81) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (507,X507) (161,X161) (198,X198) (235,X235) (240,X240) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (487,X487) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
540
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (520,X520) (483,X483) (174,X174) (137,X137) (525,X525) (488,X488) (179,X179) (142,X142) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (492,X492) (183,X183) (146,X146) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (509,X509) (472,X472) (163,X163) (200,X200) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (518,X518) (172,X172) (209,X209) (523,X523) (214,X214) (177,X177) (528,X528) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (535,X535) (498,X498) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (507,X507) (161,X161) (198,X198) (235,X235) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (524,X524) (487,X487) (529,X529) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (533,X533) (187,X187) (224,X224) (261,X261) (538,X538) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
560
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (525,X525) (488,X488) (179,X179) (142,X142) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (550,X550) (492,X492) (183,X183) (146,X146) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (559,X559) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (523,X523) (214,X214) (177,X177) (528,X528) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (276,X276) (548,X548) (553,X553) (244,X244) (281,X281) (207,X207) (558,X558) (249,X249) (286,X286) (194,X194) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (524,X524) (487,X487) (529,X529) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (533,X533) (187,X187) (224,X224) (261,X261) (538,X538) (192,X192) (229,X229) (266,X266) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
580
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (563,X563) (550,X550) (492,X492) (183,X183) (146,X146) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (559,X559) (250,X250) (213,X213) (564,X564) (218,X218) (255,X255) (181,X181) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (568,X568) (222,X222) (259,X259) (301,X301) (573,X573) (227,X227) (264,X264) (578,X578) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (276,X276) (548,X548) (553,X553) (244,X244) (281,X281) (207,X207) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (574,X574) (579,X579) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
600
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (564,X564) (218,X218) (255,X255) (181,X181) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (568,X568) (222,X222) (259,X259) (301,X301) (573,X573) (227,X227) (264,X264) (578,X578) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (598,X598) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (585,X585) (276,X276) (548,X548) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (599,X599) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (574,X574) (579,X579) (270,X270) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (583,X583) (311,X311) (237,X237) (274,X274) (588,X588) (279,X279) (316,X316) (242,X242) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
620
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (598,X598) (326,X326) (331,X331) (603,X603) (257,X257) (294,X294) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (585,X585) (276,X276) (548,X548) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (599,X599) (216,X216) (253,X253) (290,X290) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (583,X583) (311,X311) (237,X237) (274,X274) (588,X588) (279,X279) (316,X316) (242,X242) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (613,X613) (618,X618) (309,X309) (346,X346) (605,X605) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
640
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (639,X639) (272,X272) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (635,X635) (598,X598) (326,X326) (331,X331) (603,X603) (257,X257) (294,X294) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (-1,X-1) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (624,X624) (629,X629) (283,X283) (320,X320) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (633,X633) (287,X287) (324,X324) (361,X361) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (613,X613) (618,X618) (309,X309) (346,X346) (637,X637) (605,X605) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
660
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (639,X639) (272,X272) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (648,X648) (376,X376) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (635,X635) (598,X598) (326,X326) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (-1,X-1) (654,X654) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (624,X624) (629,X629) (283,X283) (320,X320) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (633,X633) (287,X287) (324,X324) (361,X361) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (650,X650) (613,X613) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (659,X659) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
680
Output:
(678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (272,X272) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (648,X648) (376,X376) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (665,X665) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (-1,X-1) (654,X654) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (674,X674) (679,X679) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (663,X663) (396,X396) (668,X668) (50,X50) (359,X359) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (650,X650) (613,X613) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (659,X659) (313,X313) (350,X350) (664,X664) (9,X9) (318,X318) (355,X355) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
700
Output:
(678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (698,X698) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (681,X681) (272,X272) (686,X686) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (685,X685) (648,X648) (376,X376) (690,X690) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (695,X695) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (699,X699) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (682,X682) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (665,X665) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (691,X691) (-1,X-1) (654,X654) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (674,X674) (679,X679) (370,X370) (24,X24) (333,X333) (684,X684) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (688,X688) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (693,X693) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (683,X683) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (680,X680) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (663,X663) (396,X396) (668,X668) (50,X50) (359,X359) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (687,X687) (650,X650) (613,X613) (692,X692) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (697,X697) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (696,X696) (659,X659) (313,X313) (350,X350) (664,X664) (9,X9) (318,X318) (355,X355) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (689,X689) (694,X694) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
720
Output:
(678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (698,X698) (389,X389) (431,X431) (703,X703) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (708,X708) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (681,X681) (272,X272) (686,X686) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (685,X685) (648,X648) (376,X376) (690,X690) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (695,X695) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (699,X699) (390,X390) (44,X44) (7,X7) (353,X353) (704,X704) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (682,X682) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (715,X715) (702,X702) (665,X665) (707,X707) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (691,X691) (-1,X-1) (654,X654) (308,X308) (345,X345) (4,X4) (420,X420) (711,X711) (383,X383) (674,X674) (716,X716) (679,X679) (370,X370) (24,X24) (333,X333) (684,X684) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (688,X688) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (693,X693) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (683,X683) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (712,X712) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (717,X717) (680,X680) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (713,X713) (718,X718) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (700,X700) (663,X663) (705,X705) (396,X396) (668,X668) (50,X50) (359,X359) (710,X710) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (709,X709) (400,X400) (363,X363) (714,X714) (405,X405) (59,X59) (368,X368) (22,X22) (719,X719) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (687,X687) (650,X650) (613,X613) (692,X692) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (697,X697) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (696,X696) (659,X659) (313,X313) (350,X350) (701,X701) (664,X664) (9,X9) (318,X318) (355,X355) (706,X706) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (689,X689) (694,X694) (385,X385) (322,X322) (0,X0) (18,X18) (327,X327)
Input:
740
Output:
(678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (735,X735) (426,X426) (698,X698) (389,X389) (431,X431) (703,X703) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (708,X708) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (681,X681) (272,X272) (686,X686) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (722,X722) (685,X685) (648,X648) (376,X376) (727,X727) (690,X690) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (732,X732) (695,X695) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (699,X699) (390,X390) (44,X44) (7,X7) (353,X353) (704,X704) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (734,X734) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (682,X682) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (715,X715) (720,X720) (702,X702) (665,X665) (707,X707) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (691,X691) (-1,X-1) (654,X654) (308,X308) (345,X345) (4,X4) (724,X724) (729,X729) (420,X420) (711,X711) (383,X383) (674,X674) (716,X716) (679,X679) (370,X370) (24,X24) (333,X333) (721,X721) (684,X684) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (733,X733) (424,X424) (387,X387) (738,X738) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (725,X725) (688,X688) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (730,X730) (693,X693) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (683,X683) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (712,X712) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (717,X717) (680,X680) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (713,X713) (718,X718) (446,X446) (409,X409) (100,X100) (372,X372) (723,X723) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (728,X728) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (737,X737) (700,X700) (663,X663) (705,X705) (396,X396) (668,X668) (50,X50) (359,X359) (710,X710) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (709,X709) (400,X400) (363,X363) (714,X714) (405,X405) (59,X59) (368,X368) (22,X22) (719,X719) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (739,X739) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (687,X687) (650,X650) (613,X613) (692,X692) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (697,X697) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (696,X696) (659,X659) (313,X313) (350,X350) (701,X701) (664,X664) (9,X9) (318,X318) (355,X355) (706,X706) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (726,X726) (689,X689) (731,X731) (694,X694) (385,X385) (322,X322) (736,X736) (0,X0) (18,X18) (327,X327)
Input:
760
Output:
(741,X741) (678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (735,X735) (426,X426) (698,X698) (389,X389) (740,X740) (431,X431) (703,X703) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (745,X745) (708,X708) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (681,X681) (272,X272) (686,X686) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (722,X722) (685,X685) (648,X648) (376,X376) (727,X727) (690,X690) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (732,X732) (695,X695) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (699,X699) (390,X390) (44,X44) (7,X7) (353,X353) (704,X704) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (734,X734) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (682,X682) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (752,X752) (715,X715) (757,X757) (720,X720) (702,X702) (665,X665) (707,X707) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (691,X691) (-1,X-1) (654,X654) (308,X308) (345,X345) (4,X4) (724,X724) (729,X729) (420,X420) (711,X711) (383,X383) (674,X674) (716,X716) (679,X679) (370,X370) (24,X24) (333,X333) (721,X721) (684,X684) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (733,X733) (424,X424) (387,X387) (738,X738) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (743,X743) (725,X725) (688,X688) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (730,X730) (693,X693) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (683,X683) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (712,X712) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (717,X717) (680,X680) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (750,X750) (713,X713) (755,X755) (718,X718) (446,X446) (409,X409) (100,X100) (372,X372) (723,X723) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (728,X728) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (759,X759) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (737,X737) (700,X700) (663,X663) (742,X742) (705,X705) (396,X396) (668,X668) (50,X50) (359,X359) (747,X747) (710,X710) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (746,X746) (709,X709) (400,X400) (363,X363) (751,X751) (714,X714) (405,X405) (59,X59) (368,X368) (22,X22) (756,X756) (719,X719) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (739,X739) (744,X744) (435,X435) (398,X398) (749,X749) (440,X440) (31,X31) (68,X68) (754,X754) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (748,X748) (476,X476) (439,X439) (753,X753) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (758,X758) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (687,X687) (650,X650) (613,X613) (692,X692) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (697,X697) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (696,X696) (659,X659) (313,X313) (350,X350) (701,X701) (664,X664) (9,X9) (318,X318) (355,X355) (706,X706) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (726,X726) (689,X689) (731,X731) (694,X694) (385,X385) (322,X322) (736,X736) (0,X0) (18,X18) (327,X327)
Input:
780
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (474,X474) (511,X511) (516,X516) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (174,X174) (483,X483) (137,X137) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (765,X765) (770,X770) (461,X461) (775,X775) (348,X348) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (774,X774) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (512,X512) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (537,X537) (437,X437) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (761,X761) (724,X724) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (424,X424) (733,X733) (387,X387) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (763,X763) (459,X459) (496,X496) (150,X150) (422,X422) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (505,X505) (159,X159) (468,X468) (122,X122) (547,X547) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (750,X750) (713,X713) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (572,X572) (535,X535) (498,X498) (503,X503) (540,X540) (522,X522) (485,X485) (448,X448) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (532,X532) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (776,X776) (739,X739) (435,X435) (744,X744) (398,X398) (68,X68) (31,X31) (440,X440) (749,X749) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (748,X748) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
800
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (474,X474) (511,X511) (516,X516) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (174,X174) (483,X483) (137,X137) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (765,X765) (770,X770) (461,X461) (775,X775) (348,X348) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (774,X774) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (537,X537) (437,X437) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (796,X796) (424,X424) (733,X733) (387,X387) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (763,X763) (459,X459) (496,X496) (150,X150) (422,X422) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (505,X505) (159,X159) (468,X468) (122,X122) (547,X547) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (572,X572) (535,X535) (498,X498) (503,X503) (540,X540) (522,X522) (794,X794) (485,X485) (448,X448) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (532,X532) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (789,X789) (776,X776) (739,X739) (781,X781) (435,X435) (744,X744) (398,X398) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (526,X526) (489,X489) (785,X785) (476,X476) (439,X439) (748,X748) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
820
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (815,X815) (474,X474) (511,X511) (516,X516) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (174,X174) (483,X483) (137,X137) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (811,X811) (774,X774) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (537,X537) (809,X809) (437,X437) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (796,X796) (424,X424) (733,X733) (387,X387) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (800,X800) (763,X763) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (572,X572) (535,X535) (498,X498) (503,X503) (540,X540) (522,X522) (794,X794) (485,X485) (448,X448) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (526,X526) (489,X489) (785,X785) (476,X476) (439,X439) (748,X748) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
840
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (815,X815) (820,X820) (474,X474) (511,X511) (825,X825) (516,X516) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (824,X824) (552,X552) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (811,X811) (774,X774) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (537,X537) (809,X809) (437,X437) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (839,X839) (572,X572) (535,X535) (498,X498) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (835,X835) (526,X526) (489,X489) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
860
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (825,X825) (516,X516) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (824,X824) (552,X552) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (859,X859) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (846,X846) (537,X537) (809,X809) (437,X437) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (850,X850) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (839,X839) (572,X572) (844,X844) (535,X535) (498,X498) (849,X849) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (835,X835) (526,X526) (489,X489) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
880
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (859,X859) (550,X550) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (846,X846) (537,X537) (809,X809) (437,X437) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (850,X850) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (876,X876) (839,X839) (572,X572) (844,X844) (535,X535) (498,X498) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (865,X865) (870,X870) (524,X524) (561,X561) (487,X487) (875,X875) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (874,X874) (602,X602) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
900
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (891,X891) (896,X896) (587,X587) (859,X859) (550,X550) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (885,X885) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (889,X889) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (876,X876) (839,X839) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (865,X865) (870,X870) (524,X524) (561,X561) (487,X487) (875,X875) (566,X566) (220,X220) (529,X529) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (874,X874) (602,X602) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
920
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (909,X909) (563,X563) (600,X600) (891,X891) (896,X896) (587,X587) (859,X859) (550,X550) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (885,X885) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (889,X889) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (915,X915) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
940
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (909,X909) (563,X563) (600,X600) (928,X928) (891,X891) (933,X933) (896,X896) (587,X587) (859,X859) (550,X550) (938,X938) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (937,X937) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (935,X935) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (939,X939) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (922,X922) (885,X885) (576,X576) (927,X927) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (926,X926) (889,X889) (931,X931) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (936,X936) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (923,X923) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (932,X932) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (915,X915) (920,X920) (611,X611) (574,X574) (925,X925) (616,X616) (270,X270) (579,X579) (930,X930) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (924,X924) (657,X657) (929,X929) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (934,X934) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (921,X921) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
960
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (941,X941) (946,X946) (909,X909) (563,X563) (600,X600) (928,X928) (891,X891) (933,X933) (896,X896) (587,X587) (859,X859) (550,X550) (938,X938) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (943,X943) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (950,X950) (955,X955) (300,X300) (609,X609) (646,X646) (263,X263) (942,X942) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (947,X947) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (937,X937) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (935,X935) (626,X626) (940,X940) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (939,X939) (672,X672) (944,X944) (326,X326) (598,X598) (635,X635) (949,X949) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (954,X954) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (922,X922) (885,X885) (576,X576) (927,X927) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (926,X926) (889,X889) (931,X931) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (936,X936) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (945,X945) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (923,X923) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (948,X948) (539,X539) (953,X953) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (932,X932) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (952,X952) (915,X915) (957,X957) (920,X920) (611,X611) (574,X574) (925,X925) (616,X616) (270,X270) (579,X579) (930,X930) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (924,X924) (657,X657) (929,X929) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (934,X934) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (958,X958) (921,X921) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (959,X959) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (951,X951) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (956,X956) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
980
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (978,X978) (941,X941) (946,X946) (909,X909) (563,X563) (600,X600) (928,X928) (891,X891) (933,X933) (896,X896) (587,X587) (859,X859) (550,X550) (938,X938) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (943,X943) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (950,X950) (955,X955) (300,X300) (609,X609) (646,X646) (263,X263) (960,X960) (942,X942) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (947,X947) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (937,X937) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (972,X972) (935,X935) (626,X626) (977,X977) (940,X940) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (976,X976) (939,X939) (672,X672) (944,X944) (326,X326) (598,X598) (635,X635) (949,X949) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (954,X954) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (974,X974) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (922,X922) (885,X885) (576,X576) (927,X927) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (963,X963) (926,X926) (889,X889) (968,X968) (931,X931) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (973,X973) (936,X936) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (961,X961) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (945,X945) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (965,X965) (970,X970) (661,X661) (624,X624) (975,X975) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (979,X979) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (923,X923) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (948,X948) (539,X539) (953,X953) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (932,X932) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (952,X952) (915,X915) (957,X957) (920,X920) (611,X611) (574,X574) (962,X962) (925,X925) (616,X616) (270,X270) (579,X579) (967,X967) (930,X930) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (924,X924) (966,X966) (657,X657) (929,X929) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (971,X971) (934,X934) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (958,X958) (921,X921) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (959,X959) (613,X613) (650,X650) (964,X964) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (969,X969) (660,X660) (951,X951) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (956,X956) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
Input:
1000
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (978,X978) (941,X941) (983,X983) (946,X946) (909,X909) (563,X563) (600,X600) (928,X928) (891,X891) (933,X933) (896,X896) (587,X587) (859,X859) (550,X550) (938,X938) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (943,X943) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (950,X950) (992,X992) (955,X955) (300,X300) (609,X609) (646,X646) (263,X263) (997,X997) (960,X960) (942,X942) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (947,X947) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (985,X985) (676,X676) (639,X639) (990,X990) (272,X272) (681,X681) (995,X995) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (989,X989) (994,X994) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (999,X999) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (937,X937) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (972,X972) (935,X935) (626,X626) (977,X977) (940,X940) (631,X631) (513,X513) (982,X982) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (976,X976) (939,X939) (981,X981) (672,X672) (944,X944) (326,X326) (598,X598) (635,X635) (986,X986) (949,X949) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (954,X954) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (974,X974) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (-1,X-1) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (922,X922) (885,X885) (576,X576) (927,X927) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (963,X963) (926,X926) (889,X889) (968,X968) (931,X931) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (973,X973) (936,X936) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (998,X998) (961,X961) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (945,X945) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (965,X965) (970,X970) (661,X661) (624,X624) (975,X975) (629,X629) (666,X666) (320,X320) (283,X283) (980,X980) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (979,X979) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (984,X984) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (923,X923) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (948,X948) (539,X539) (953,X953) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (932,X932) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (952,X952) (915,X915) (957,X957) (920,X920) (611,X611) (574,X574) (962,X962) (925,X925) (616,X616) (270,X270) (579,X579) (967,X967) (930,X930) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (924,X924) (966,X966) (657,X657) (929,X929) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (971,X971) (934,X934) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (987,X987) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (958,X958) (921,X921) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (991,X991) (996,X996) (687,X687) (959,X959) (613,X613) (650,X650) (964,X964) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (969,X969) (660,X660) (988,X988) (951,X951) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (993,X993) (956,X956) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18) (0,X0)
The overview over the suite is in chapter Suite Large Mutable Map.
Removes an existing entry from a map.
Dataset | Length | Min | Max | Average | Median | Standard Deviation | Factor (Average) | Factor (Median) |
0 | 996 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.7452 | 0.9974 |
20 | 995 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.7959 | 1.0000 |
40 | 999 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.7936 | 0.0000 |
60 | 997 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.7265 | 1.0000 |
80 | 990 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.8025 | 1.0000 |
100 | 992 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.7392 | 0.0000 |
120 | 995 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.7268 | 0.0000 |
140 | 996 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.7337 | 0.0000 |
160 | 978 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.7715 | 0.0000 |
180 | 988 | 0.0000 | 0.0004 | 0.0002 | 0.0000 | 0.0002 | 0.6935 | 0.0000 |
200 | 982 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.7139 | 1.0000 |
220 | 972 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7756 | 1.0000 |
240 | 962 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7618 | 1.0000 |
260 | 953 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7233 | 1.0000 |
280 | 957 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7642 | 1.0000 |
300 | 989 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.7560 | 1.0000 |
320 | 953 | 0.0000 | 0.0004 | 0.0003 | 0.0004 | 0.0002 | 0.7398 | 1.0000 |
340 | 991 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8057 | 1.0000 |
360 | 987 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8133 | 1.0000 |
380 | 989 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.8112 | 1.0000 |
400 | 964 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.7022 | 1.0000 |
420 | 960 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.7272 | 1.0000 |
440 | 957 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.7673 | 1.0000 |
460 | 951 | 0.0000 | 0.0008 | 0.0002 | 0.0004 | 0.0002 | 0.7229 | 1.0000 |
480 | 988 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8554 | 1.0000 |
500 | 959 | 0.0000 | 0.0004 | 0.0002 | 0.0004 | 0.0002 | 0.7206 | 1.0000 |
520 | 988 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8451 | 1.0000 |
540 | 987 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8537 | 1.0000 |
560 | 989 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8022 | 1.0000 |
580 | 976 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8498 | 1.0000 |
600 | 984 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8550 | 1.0000 |
620 | 986 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8068 | 1.0000 |
640 | 977 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8596 | 1.0000 |
660 | 981 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9029 | 1.0000 |
680 | 987 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8571 | 1.0000 |
700 | 982 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8656 | 1.0000 |
720 | 975 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8305 | 1.0000 |
740 | 978 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8633 | 1.0000 |
760 | 976 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9053 | 1.0000 |
780 | 976 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8033 | 1.0000 |
800 | 978 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.9027 | 1.0000 |
820 | 972 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8076 | 1.0000 |
840 | 974 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8313 | 1.0000 |
860 | 981 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8331 | 1.0000 |
880 | 973 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8796 | 1.0000 |
900 | 979 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8278 | 1.0000 |
920 | 980 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8254 | 1.0000 |
940 | 980 | 0.0000 | 0.0008 | 0.0003 | 0.0004 | 0.0002 | 0.8118 | 1.0000 |
960 | 978 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.8375 | 1.0000 |
980 | 972 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.8365 | 1.0000 |
1000 | 978 | 0.0000 | 0.0008 | 0.0004 | 0.0004 | 0.0002 | 0.8154 | 1.0000 |
Input:
0
Output:
Input:
20
Output:
(16,X16) (15,X15) (5,X5) (10,X10) (11,X11) (3,X3) (7,X7) (8,X8) (17,X17) (12,X12) (4,X4) (13,X13) (1,X1) (6,X6) (2,X2) (19,X19) (14,X14) (18,X18) (9,X9)
Input:
40
Output:
(10,X10) (5,X5) (15,X15) (23,X23) (11,X11) (16,X16) (21,X21) (35,X35) (8,X8) (3,X3) (7,X7) (12,X12) (17,X17) (37,X37) (26,X26) (4,X4) (24,X24) (29,X29) (13,X13) (38,X38) (33,X33) (1,X1) (6,X6) (30,X30) (25,X25) (20,X20) (39,X39) (34,X34) (2,X2) (27,X27) (22,X22) (32,X32) (14,X14) (19,X19) (36,X36) (31,X31) (28,X28) (9,X9) (18,X18)
Input:
60
Output:
(23,X23) (5,X5) (10,X10) (15,X15) (53,X53) (16,X16) (11,X11) (48,X48) (58,X58) (21,X21) (57,X57) (35,X35) (3,X3) (8,X8) (40,X40) (45,X45) (7,X7) (44,X44) (54,X54) (49,X49) (17,X17) (12,X12) (37,X37) (42,X42) (26,X26) (56,X56) (51,X51) (4,X4) (24,X24) (13,X13) (29,X29) (1,X1) (33,X33) (38,X38) (46,X46) (6,X6) (43,X43) (52,X52) (47,X47) (20,X20) (25,X25) (30,X30) (2,X2) (34,X34) (39,X39) (50,X50) (55,X55) (59,X59) (22,X22) (27,X27) (19,X19) (14,X14) (32,X32) (31,X31) (36,X36) (41,X41) (28,X28) (9,X9) (18,X18)
Input:
80
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (53,X53) (16,X16) (11,X11) (48,X48) (63,X63) (58,X58) (21,X21) (67,X67) (62,X62) (57,X57) (35,X35) (3,X3) (8,X8) (40,X40) (45,X45) (7,X7) (44,X44) (54,X54) (49,X49) (17,X17) (12,X12) (79,X79) (74,X74) (37,X37) (42,X42) (26,X26) (56,X56) (51,X51) (4,X4) (24,X24) (13,X13) (29,X29) (75,X75) (70,X70) (1,X1) (33,X33) (38,X38) (46,X46) (6,X6) (43,X43) (52,X52) (47,X47) (20,X20) (25,X25) (30,X30) (2,X2) (34,X34) (39,X39) (72,X72) (77,X77) (50,X50) (55,X55) (64,X64) (59,X59) (22,X22) (27,X27) (69,X69) (19,X19) (14,X14) (32,X32) (78,X78) (73,X73) (68,X68) (31,X31) (36,X36) (41,X41) (65,X65) (28,X28) (66,X66) (61,X61) (76,X76) (71,X71) (9,X9) (18,X18)
Input:
100
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (67,X67) (97,X97) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (96,X96) (51,X51) (88,X88) (93,X93) (56,X56) (4,X4) (24,X24) (29,X29) (13,X13) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (47,X47) (52,X52) (89,X89) (20,X20) (30,X30) (25,X25) (34,X34) (39,X39) (2,X2) (72,X72) (77,X77) (82,X82) (81,X81) (86,X86) (91,X91) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (98,X98) (61,X61) (66,X66) (71,X71) (76,X76) (9,X9) (18,X18)
Input:
120
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (104,X104) (67,X67) (97,X97) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (96,X96) (101,X101) (106,X106) (51,X51) (88,X88) (93,X93) (56,X56) (102,X102) (4,X4) (24,X24) (29,X29) (13,X13) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (118,X118) (47,X47) (52,X52) (89,X89) (20,X20) (30,X30) (25,X25) (105,X105) (100,X100) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (119,X119) (114,X114) (77,X77) (82,X82) (81,X81) (86,X86) (91,X91) (111,X111) (116,X116) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (115,X115) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (103,X103) (98,X98) (61,X61) (66,X66) (108,X108) (71,X71) (113,X113) (76,X76) (107,X107) (112,X112) (117,X117) (9,X9) (18,X18)
Input:
140
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (104,X104) (67,X67) (137,X137) (139,X139) (134,X134) (97,X97) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (129,X129) (124,X124) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (133,X133) (96,X96) (138,X138) (101,X101) (130,X130) (125,X125) (106,X106) (51,X51) (88,X88) (93,X93) (56,X56) (131,X131) (102,X102) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (118,X118) (47,X47) (52,X52) (89,X89) (127,X127) (122,X122) (132,X132) (136,X136) (20,X20) (30,X30) (25,X25) (105,X105) (100,X100) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (119,X119) (114,X114) (77,X77) (82,X82) (123,X123) (81,X81) (86,X86) (128,X128) (91,X91) (111,X111) (116,X116) (126,X126) (121,X121) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (115,X115) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (135,X135) (103,X103) (98,X98) (61,X61) (66,X66) (108,X108) (71,X71) (113,X113) (76,X76) (107,X107) (112,X112) (117,X117) (9,X9) (18,X18)
Input:
160
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (104,X104) (67,X67) (137,X137) (142,X142) (152,X152) (147,X147) (139,X139) (134,X134) (97,X97) (151,X151) (146,X146) (156,X156) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (129,X129) (124,X124) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (133,X133) (96,X96) (138,X138) (101,X101) (143,X143) (130,X130) (125,X125) (106,X106) (51,X51) (88,X88) (93,X93) (56,X56) (131,X131) (102,X102) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (150,X150) (155,X155) (118,X118) (47,X47) (52,X52) (89,X89) (159,X159) (127,X127) (122,X122) (132,X132) (136,X136) (141,X141) (20,X20) (30,X30) (25,X25) (105,X105) (100,X100) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (119,X119) (114,X114) (77,X77) (82,X82) (144,X144) (123,X123) (81,X81) (86,X86) (128,X128) (91,X91) (148,X148) (111,X111) (153,X153) (116,X116) (158,X158) (126,X126) (121,X121) (157,X157) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (115,X115) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (140,X140) (135,X135) (103,X103) (98,X98) (61,X61) (66,X66) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (107,X107) (154,X154) (149,X149) (112,X112) (117,X117) (9,X9) (18,X18)
Input:
180
Output:
(5,X5) (23,X23) (60,X60) (10,X10) (15,X15) (48,X48) (11,X11) (85,X85) (16,X16) (53,X53) (90,X90) (95,X95) (21,X21) (58,X58) (63,X63) (94,X94) (99,X99) (57,X57) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (152,X152) (147,X147) (139,X139) (134,X134) (97,X97) (151,X151) (146,X146) (156,X156) (35,X35) (40,X40) (3,X3) (45,X45) (8,X8) (44,X44) (7,X7) (12,X12) (17,X17) (49,X49) (54,X54) (129,X129) (124,X124) (87,X87) (92,X92) (42,X42) (37,X37) (74,X74) (79,X79) (84,X84) (26,X26) (170,X170) (133,X133) (96,X96) (175,X175) (138,X138) (101,X101) (143,X143) (130,X130) (125,X125) (106,X106) (51,X51) (88,X88) (93,X93) (56,X56) (163,X163) (173,X173) (168,X168) (131,X131) (102,X102) (172,X172) (177,X177) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (46,X46) (33,X33) (70,X70) (83,X83) (38,X38) (1,X1) (75,X75) (43,X43) (6,X6) (80,X80) (150,X150) (155,X155) (118,X118) (165,X165) (160,X160) (47,X47) (52,X52) (89,X89) (164,X164) (159,X159) (127,X127) (122,X122) (169,X169) (132,X132) (178,X178) (136,X136) (141,X141) (171,X171) (176,X176) (20,X20) (30,X30) (25,X25) (105,X105) (100,X100) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (119,X119) (114,X114) (77,X77) (82,X82) (144,X144) (123,X123) (81,X81) (86,X86) (128,X128) (91,X91) (161,X161) (166,X166) (148,X148) (111,X111) (153,X153) (116,X116) (158,X158) (126,X126) (121,X121) (162,X162) (157,X157) (167,X167) (50,X50) (55,X55) (59,X59) (27,X27) (22,X22) (64,X64) (32,X32) (14,X14) (69,X69) (19,X19) (31,X31) (68,X68) (115,X115) (41,X41) (36,X36) (73,X73) (78,X78) (28,X28) (65,X65) (140,X140) (135,X135) (103,X103) (98,X98) (61,X61) (66,X66) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (107,X107) (154,X154) (149,X149) (112,X112) (117,X117) (9,X9) (18,X18)
Input:
200
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (151,X151) (188,X188) (193,X193) (156,X156) (181,X181) (186,X186) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (163,X163) (131,X131) (168,X168) (173,X173) (102,X102) (172,X172) (177,X177) (182,X182) (191,X191) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (171,X171) (176,X176) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (198,X198) (161,X161) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (157,X157) (162,X162) (167,X167) (50,X50) (55,X55) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (187,X187) (192,X192) (197,X197) (196,X196) (9,X9) (18,X18)
Input:
220
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (151,X151) (188,X188) (193,X193) (156,X156) (213,X213) (218,X218) (181,X181) (186,X186) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (219,X219) (182,X182) (191,X191) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (207,X207) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (211,X211) (216,X216) (208,X208) (171,X171) (176,X176) (217,X217) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (198,X198) (161,X161) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (50,X50) (55,X55) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (187,X187) (192,X192) (197,X197) (202,X202) (196,X196) (201,X201) (206,X206) (9,X9) (18,X18)
Input:
240
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (213,X213) (218,X218) (181,X181) (223,X223) (186,X186) (228,X228) (222,X222) (227,X227) (232,X232) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (219,X219) (182,X182) (191,X191) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (207,X207) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (211,X211) (216,X216) (221,X221) (226,X226) (208,X208) (171,X171) (176,X176) (217,X217) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (237,X237) (50,X50) (55,X55) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (224,X224) (187,X187) (229,X229) (192,X192) (234,X234) (197,X197) (239,X239) (202,X202) (233,X233) (196,X196) (238,X238) (201,X201) (206,X206) (9,X9) (231,X231) (236,X236) (18,X18)
Input:
260
Output:
(60,X60) (23,X23) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (223,X223) (186,X186) (228,X228) (259,X259) (222,X222) (227,X227) (232,X232) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (257,X257) (254,X254) (191,X191) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (244,X244) (207,X207) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (248,X248) (211,X211) (253,X253) (216,X216) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (217,X217) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (237,X237) (242,X242) (247,X247) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (224,X224) (187,X187) (229,X229) (192,X192) (234,X234) (197,X197) (239,X239) (202,X202) (233,X233) (196,X196) (238,X238) (201,X201) (243,X243) (206,X206) (9,X9) (231,X231) (236,X236) (241,X241) (18,X18)
Input:
280
Output:
(60,X60) (23,X23) (277,X277) (5,X5) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (264,X264) (227,X227) (269,X269) (232,X232) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (257,X257) (262,X262) (254,X254) (191,X191) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (244,X244) (207,X207) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (248,X248) (211,X211) (253,X253) (216,X216) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (267,X267) (217,X217) (20,X20) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (274,X274) (237,X237) (279,X279) (242,X242) (247,X247) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (233,X233) (196,X196) (238,X238) (201,X201) (243,X243) (206,X206) (9,X9) (268,X268) (231,X231) (273,X273) (236,X236) (278,X278) (241,X241) (18,X18)
Input:
300
Output:
(60,X60) (23,X23) (277,X277) (5,X5) (282,X282) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (264,X264) (227,X227) (269,X269) (232,X232) (35,X35) (3,X3) (40,X40) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (294,X294) (257,X257) (299,X299) (262,X262) (291,X291) (254,X254) (191,X191) (298,X298) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (283,X283) (288,X288) (267,X267) (217,X217) (287,X287) (292,X292) (20,X20) (297,X297) (25,X25) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (274,X274) (237,X237) (279,X279) (242,X242) (284,X284) (247,X247) (289,X289) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (293,X293) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (9,X9) (268,X268) (231,X231) (273,X273) (236,X236) (278,X278) (241,X241) (18,X18)
Input:
320
Output:
(60,X60) (23,X23) (314,X314) (277,X277) (5,X5) (319,X319) (282,X282) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (300,X300) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (301,X301) (264,X264) (227,X227) (306,X306) (269,X269) (232,X232) (307,X307) (35,X35) (312,X312) (3,X3) (40,X40) (317,X317) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (294,X294) (257,X257) (299,X299) (262,X262) (304,X304) (291,X291) (254,X254) (191,X191) (298,X298) (303,X303) (308,X308) (4,X4) (24,X24) (29,X29) (13,X13) (120,X120) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (283,X283) (288,X288) (267,X267) (217,X217) (287,X287) (292,X292) (20,X20) (297,X297) (25,X25) (302,X302) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (311,X311) (274,X274) (237,X237) (316,X316) (279,X279) (242,X242) (284,X284) (247,X247) (289,X289) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (293,X293) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (309,X309) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (313,X313) (318,X318) (9,X9) (305,X305) (268,X268) (231,X231) (310,X310) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (18,X18)
Input:
340
Output:
(332,X332) (60,X60) (23,X23) (314,X314) (277,X277) (5,X5) (319,X319) (282,X282) (10,X10) (15,X15) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (300,X300) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (301,X301) (264,X264) (227,X227) (306,X306) (269,X269) (232,X232) (307,X307) (35,X35) (312,X312) (3,X3) (40,X40) (317,X317) (8,X8) (45,X45) (7,X7) (44,X44) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (326,X326) (331,X331) (294,X294) (257,X257) (336,X336) (299,X299) (262,X262) (304,X304) (291,X291) (254,X254) (191,X191) (335,X335) (298,X298) (303,X303) (308,X308) (4,X4) (333,X333) (24,X24) (338,X338) (29,X29) (13,X13) (120,X120) (337,X337) (83,X83) (46,X46) (70,X70) (33,X33) (75,X75) (1,X1) (38,X38) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (320,X320) (283,X283) (325,X325) (288,X288) (330,X330) (267,X267) (217,X217) (324,X324) (287,X287) (329,X329) (292,X292) (20,X20) (334,X334) (297,X297) (25,X25) (339,X339) (302,X302) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (311,X311) (274,X274) (237,X237) (316,X316) (279,X279) (242,X242) (321,X321) (284,X284) (247,X247) (289,X289) (252,X252) (50,X50) (246,X246) (55,X55) (251,X251) (293,X293) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (328,X328) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (309,X309) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (313,X313) (318,X318) (9,X9) (323,X323) (305,X305) (268,X268) (231,X231) (310,X310) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (322,X322) (327,X327) (18,X18)
Input:
360
Output:
(332,X332) (60,X60) (23,X23) (314,X314) (277,X277) (5,X5) (356,X356) (319,X319) (282,X282) (10,X10) (15,X15) (357,X357) (85,X85) (11,X11) (48,X48) (90,X90) (53,X53) (16,X16) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (300,X300) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (301,X301) (264,X264) (227,X227) (306,X306) (269,X269) (232,X232) (344,X344) (307,X307) (35,X35) (349,X349) (312,X312) (3,X3) (40,X40) (354,X354) (317,X317) (8,X8) (45,X45) (348,X348) (353,X353) (7,X7) (44,X44) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (326,X326) (331,X331) (294,X294) (257,X257) (336,X336) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (335,X335) (298,X298) (340,X340) (303,X303) (345,X345) (308,X308) (4,X4) (333,X333) (24,X24) (338,X338) (29,X29) (343,X343) (13,X13) (120,X120) (337,X337) (83,X83) (46,X46) (342,X342) (70,X70) (33,X33) (347,X347) (75,X75) (1,X1) (38,X38) (352,X352) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (320,X320) (283,X283) (325,X325) (288,X288) (330,X330) (267,X267) (217,X217) (324,X324) (287,X287) (329,X329) (292,X292) (20,X20) (334,X334) (297,X297) (25,X25) (339,X339) (302,X302) (30,X30) (100,X100) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (311,X311) (274,X274) (237,X237) (316,X316) (279,X279) (242,X242) (321,X321) (284,X284) (247,X247) (289,X289) (252,X252) (359,X359) (50,X50) (246,X246) (55,X55) (351,X351) (251,X251) (293,X293) (59,X59) (22,X22) (64,X64) (27,X27) (69,X69) (32,X32) (14,X14) (328,X328) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (346,X346) (309,X309) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (350,X350) (313,X313) (355,X355) (318,X318) (9,X9) (323,X323) (305,X305) (268,X268) (231,X231) (310,X310) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (322,X322) (327,X327) (18,X18)
Input:
380
Output:
(369,X369) (332,X332) (60,X60) (23,X23) (314,X314) (277,X277) (5,X5) (356,X356) (319,X319) (282,X282) (10,X10) (15,X15) (357,X357) (85,X85) (11,X11) (48,X48) (362,X362) (90,X90) (53,X53) (16,X16) (367,X367) (95,X95) (58,X58) (21,X21) (63,X63) (94,X94) (57,X57) (62,X62) (99,X99) (67,X67) (104,X104) (137,X137) (174,X174) (179,X179) (142,X142) (147,X147) (184,X184) (152,X152) (189,X189) (97,X97) (134,X134) (139,X139) (146,X146) (183,X183) (225,X225) (151,X151) (188,X188) (230,X230) (193,X193) (156,X156) (300,X300) (263,X263) (250,X250) (213,X213) (255,X255) (218,X218) (181,X181) (260,X260) (223,X223) (186,X186) (265,X265) (228,X228) (272,X272) (259,X259) (222,X222) (301,X301) (264,X264) (227,X227) (306,X306) (269,X269) (232,X232) (376,X376) (344,X344) (307,X307) (35,X35) (349,X349) (312,X312) (3,X3) (40,X40) (354,X354) (317,X317) (8,X8) (45,X45) (348,X348) (353,X353) (7,X7) (44,X44) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (87,X87) (124,X124) (92,X92) (129,X129) (74,X74) (37,X37) (79,X79) (42,X42) (84,X84) (26,X26) (96,X96) (133,X133) (170,X170) (101,X101) (138,X138) (175,X175) (180,X180) (88,X88) (51,X51) (106,X106) (125,X125) (143,X143) (93,X93) (130,X130) (56,X56) (200,X200) (163,X163) (205,X205) (131,X131) (168,X168) (210,X210) (173,X173) (215,X215) (102,X102) (209,X209) (172,X172) (214,X214) (177,X177) (256,X256) (219,X219) (182,X182) (326,X326) (331,X331) (294,X294) (257,X257) (336,X336) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (335,X335) (298,X298) (340,X340) (303,X303) (345,X345) (308,X308) (4,X4) (370,X370) (333,X333) (24,X24) (375,X375) (338,X338) (29,X29) (343,X343) (13,X13) (120,X120) (374,X374) (337,X337) (83,X83) (46,X46) (379,X379) (342,X342) (70,X70) (33,X33) (347,X347) (75,X75) (1,X1) (38,X38) (352,X352) (80,X80) (6,X6) (43,X43) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (122,X122) (159,X159) (127,X127) (164,X164) (132,X132) (169,X169) (276,X276) (281,X281) (244,X244) (207,X207) (286,X286) (249,X249) (194,X194) (199,X199) (136,X136) (178,X178) (141,X141) (285,X285) (248,X248) (211,X211) (290,X290) (253,X253) (216,X216) (295,X295) (258,X258) (221,X221) (245,X245) (226,X226) (208,X208) (171,X171) (176,X176) (320,X320) (283,X283) (325,X325) (288,X288) (330,X330) (267,X267) (217,X217) (361,X361) (324,X324) (287,X287) (366,X366) (329,X329) (292,X292) (20,X20) (371,X371) (334,X334) (297,X297) (25,X25) (339,X339) (302,X302) (30,X30) (372,X372) (100,X100) (377,X377) (105,X105) (110,X110) (34,X34) (2,X2) (39,X39) (72,X72) (109,X109) (77,X77) (114,X114) (119,X119) (82,X82) (81,X81) (144,X144) (86,X86) (123,X123) (91,X91) (128,X128) (235,X235) (198,X198) (161,X161) (240,X240) (203,X203) (111,X111) (148,X148) (166,X166) (185,X185) (190,X190) (116,X116) (153,X153) (195,X195) (121,X121) (158,X158) (126,X126) (270,X270) (275,X275) (212,X212) (157,X157) (162,X162) (204,X204) (167,X167) (311,X311) (274,X274) (237,X237) (316,X316) (279,X279) (242,X242) (321,X321) (284,X284) (247,X247) (289,X289) (252,X252) (359,X359) (50,X50) (364,X364) (246,X246) (55,X55) (351,X351) (251,X251) (293,X293) (363,X363) (368,X368) (59,X59) (22,X22) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (68,X68) (31,X31) (73,X73) (36,X36) (78,X78) (41,X41) (115,X115) (65,X65) (28,X28) (61,X61) (98,X98) (135,X135) (66,X66) (103,X103) (140,X140) (71,X71) (108,X108) (145,X145) (76,X76) (113,X113) (220,X220) (107,X107) (112,X112) (149,X149) (154,X154) (117,X117) (261,X261) (224,X224) (187,X187) (266,X266) (229,X229) (192,X192) (271,X271) (234,X234) (197,X197) (239,X239) (202,X202) (346,X346) (309,X309) (296,X296) (233,X233) (196,X196) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (350,X350) (313,X313) (355,X355) (318,X318) (9,X9) (360,X360) (323,X323) (305,X305) (268,X268) (231,X231) (310,X310) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (322,X322) (327,X327) (18,X18)
Input:
400
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (389,X389) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (94,X94) (57,X57) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (124,X124) (87,X87) (129,X129) (92,X92) (74,X74) (37,X37) (388,X388) (42,X42) (79,X79) (393,X393) (84,X84) (26,X26) (170,X170) (133,X133) (96,X96) (175,X175) (138,X138) (101,X101) (180,X180) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (130,X130) (93,X93) (56,X56) (163,X163) (200,X200) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (387,X387) (392,X392) (120,X120) (46,X46) (83,X83) (374,X374) (337,X337) (33,X33) (70,X70) (342,X342) (379,X379) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (159,X159) (122,X122) (164,X164) (127,X127) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (100,X100) (372,X372) (105,X105) (377,X377) (110,X110) (34,X34) (39,X39) (2,X2) (109,X109) (72,X72) (114,X114) (77,X77) (119,X119) (82,X82) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (148,X148) (111,X111) (190,X190) (153,X153) (116,X116) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (364,X364) (55,X55) (246,X246) (251,X251) (351,X351) (293,X293) (363,X363) (59,X59) (368,X368) (22,X22) (27,X27) (64,X64) (373,X373) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (398,X398) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (135,X135) (98,X98) (61,X61) (140,X140) (103,X103) (66,X66) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
420
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (389,X389) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (403,X403) (94,X94) (57,X57) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (124,X124) (87,X87) (129,X129) (92,X92) (74,X74) (37,X37) (388,X388) (42,X42) (79,X79) (393,X393) (84,X84) (26,X26) (170,X170) (133,X133) (96,X96) (175,X175) (138,X138) (101,X101) (180,X180) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (163,X163) (200,X200) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (387,X387) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (150,X150) (155,X155) (118,X118) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (159,X159) (122,X122) (164,X164) (127,X127) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (409,X409) (100,X100) (372,X372) (414,X414) (105,X105) (377,X377) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (413,X413) (418,X418) (109,X109) (72,X72) (114,X114) (77,X77) (119,X119) (82,X82) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (148,X148) (111,X111) (190,X190) (153,X153) (116,X116) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (398,X398) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (407,X407) (135,X135) (98,X98) (61,X61) (412,X412) (140,X140) (103,X103) (66,X66) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
440
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (403,X403) (94,X94) (57,X57) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (433,X433) (124,X124) (87,X87) (438,X438) (129,X129) (92,X92) (74,X74) (37,X37) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (170,X170) (133,X133) (96,X96) (175,X175) (138,X138) (101,X101) (180,X180) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (163,X163) (200,X200) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (422,X422) (150,X150) (155,X155) (427,X427) (118,X118) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (159,X159) (122,X122) (164,X164) (127,X127) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (409,X409) (100,X100) (372,X372) (414,X414) (105,X105) (377,X377) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (413,X413) (418,X418) (109,X109) (72,X72) (423,X423) (114,X114) (77,X77) (428,X428) (119,X119) (82,X82) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (148,X148) (111,X111) (190,X190) (153,X153) (116,X116) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (439,X439) (407,X407) (135,X135) (98,X98) (61,X61) (412,X412) (140,X140) (103,X103) (66,X66) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
460
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (433,X433) (124,X124) (87,X87) (438,X438) (129,X129) (92,X92) (74,X74) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (442,X442) (170,X170) (133,X133) (96,X96) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (163,X163) (200,X200) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (459,X459) (422,X422) (150,X150) (155,X155) (427,X427) (118,X118) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (159,X159) (122,X122) (164,X164) (127,X127) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (423,X423) (114,X114) (77,X77) (428,X428) (119,X119) (82,X82) (448,X448) (453,X453) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (190,X190) (153,X153) (116,X116) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (439,X439) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
480
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (474,X474) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (174,X174) (137,X137) (179,X179) (142,X142) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (183,X183) (146,X146) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (472,X472) (163,X163) (200,X200) (477,X477) (168,X168) (131,X131) (205,X205) (210,X210) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (459,X459) (422,X422) (150,X150) (464,X464) (155,X155) (427,X427) (118,X118) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (463,X463) (468,X468) (159,X159) (122,X122) (473,X473) (164,X164) (127,X127) (478,X478) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (448,X448) (453,X453) (144,X144) (81,X81) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (462,X462) (190,X190) (153,X153) (116,X116) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (476,X476) (439,X439) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
500
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (474,X474) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (483,X483) (174,X174) (137,X137) (488,X488) (179,X179) (142,X142) (493,X493) (184,X184) (147,X147) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (492,X492) (183,X183) (146,X146) (497,X497) (188,X188) (151,X151) (225,X225) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (472,X472) (163,X163) (200,X200) (477,X477) (168,X168) (131,X131) (205,X205) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (464,X464) (155,X155) (427,X427) (118,X118) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (463,X463) (468,X468) (159,X159) (122,X122) (473,X473) (164,X164) (127,X127) (478,X478) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (498,X498) (485,X485) (448,X448) (490,X490) (453,X453) (144,X144) (81,X81) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (161,X161) (198,X198) (235,X235) (240,X240) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (487,X487) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
520
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (483,X483) (174,X174) (137,X137) (488,X488) (179,X179) (142,X142) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (492,X492) (183,X183) (146,X146) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (437,X437) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (509,X509) (472,X472) (163,X163) (200,X200) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (518,X518) (172,X172) (209,X209) (214,X214) (177,X177) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (498,X498) (503,X503) (485,X485) (448,X448) (490,X490) (453,X453) (144,X144) (81,X81) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (507,X507) (161,X161) (198,X198) (235,X235) (240,X240) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (487,X487) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (187,X187) (224,X224) (261,X261) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
540
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (520,X520) (483,X483) (174,X174) (137,X137) (525,X525) (488,X488) (179,X179) (142,X142) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (492,X492) (183,X183) (146,X146) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (509,X509) (472,X472) (163,X163) (200,X200) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (518,X518) (172,X172) (209,X209) (523,X523) (214,X214) (177,X177) (528,X528) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (276,X276) (244,X244) (281,X281) (207,X207) (249,X249) (286,X286) (194,X194) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (535,X535) (498,X498) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (507,X507) (161,X161) (198,X198) (235,X235) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (524,X524) (487,X487) (529,X529) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (533,X533) (187,X187) (224,X224) (261,X261) (538,X538) (192,X192) (229,X229) (266,X266) (271,X271) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
560
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (525,X525) (488,X488) (179,X179) (142,X142) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (550,X550) (492,X492) (183,X183) (146,X146) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (559,X559) (250,X250) (213,X213) (218,X218) (255,X255) (181,X181) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (222,X222) (259,X259) (301,X301) (227,X227) (264,X264) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (523,X523) (214,X214) (177,X177) (528,X528) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (276,X276) (548,X548) (553,X553) (244,X244) (281,X281) (207,X207) (558,X558) (249,X249) (286,X286) (194,X194) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (524,X524) (487,X487) (529,X529) (220,X220) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (533,X533) (187,X187) (224,X224) (261,X261) (538,X538) (192,X192) (229,X229) (266,X266) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
580
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (563,X563) (550,X550) (492,X492) (183,X183) (146,X146) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (559,X559) (250,X250) (213,X213) (564,X564) (218,X218) (255,X255) (181,X181) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (568,X568) (222,X222) (259,X259) (301,X301) (573,X573) (227,X227) (264,X264) (578,X578) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (276,X276) (548,X548) (553,X553) (244,X244) (281,X281) (207,X207) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (248,X248) (285,X285) (211,X211) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (574,X574) (579,X579) (270,X270) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (311,X311) (237,X237) (274,X274) (279,X279) (316,X316) (242,X242) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
600
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (564,X564) (218,X218) (255,X255) (181,X181) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (568,X568) (222,X222) (259,X259) (301,X301) (573,X573) (227,X227) (264,X264) (578,X578) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (598,X598) (326,X326) (331,X331) (257,X257) (294,X294) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (585,X585) (276,X276) (548,X548) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (599,X599) (216,X216) (253,X253) (290,X290) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (574,X574) (579,X579) (270,X270) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (583,X583) (311,X311) (237,X237) (274,X274) (588,X588) (279,X279) (316,X316) (242,X242) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (309,X309) (346,X346) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (323,X323) (231,X231) (268,X268) (305,X305) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
620
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (272,X272) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (598,X598) (326,X326) (331,X331) (603,X603) (257,X257) (294,X294) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (585,X585) (276,X276) (548,X548) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (599,X599) (216,X216) (253,X253) (290,X290) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (283,X283) (320,X320) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (287,X287) (324,X324) (361,X361) (366,X366) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (583,X583) (311,X311) (237,X237) (274,X274) (588,X588) (279,X279) (316,X316) (242,X242) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (613,X613) (618,X618) (309,X309) (346,X346) (605,X605) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
640
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (639,X639) (272,X272) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (376,X376) (35,X35) (307,X307) (344,X344) (381,X381) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (635,X635) (598,X598) (326,X326) (331,X331) (603,X603) (257,X257) (294,X294) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (335,X335) (298,X298) (303,X303) (340,X340) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (624,X624) (629,X629) (283,X283) (320,X320) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (633,X633) (287,X287) (324,X324) (361,X361) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (613,X613) (618,X618) (309,X309) (346,X346) (637,X637) (605,X605) (196,X196) (233,X233) (296,X296) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
660
Output:
(23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (639,X639) (272,X272) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (648,X648) (376,X376) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (635,X635) (598,X598) (326,X326) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (654,X654) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (624,X624) (629,X629) (283,X283) (320,X320) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (633,X633) (287,X287) (324,X324) (361,X361) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (396,X396) (50,X50) (359,X359) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (650,X650) (613,X613) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (659,X659) (313,X313) (350,X350) (9,X9) (318,X318) (355,X355) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
680
Output:
(678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (272,X272) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (648,X648) (376,X376) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (665,X665) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (654,X654) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (674,X674) (679,X679) (370,X370) (24,X24) (333,X333) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (663,X663) (396,X396) (668,X668) (50,X50) (359,X359) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (650,X650) (613,X613) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (659,X659) (313,X313) (350,X350) (664,X664) (9,X9) (318,X318) (355,X355) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
700
Output:
(678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (698,X698) (389,X389) (431,X431) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (681,X681) (272,X272) (686,X686) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (685,X685) (648,X648) (376,X376) (690,X690) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (695,X695) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (699,X699) (390,X390) (44,X44) (7,X7) (353,X353) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (682,X682) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (665,X665) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (691,X691) (654,X654) (308,X308) (345,X345) (4,X4) (420,X420) (383,X383) (674,X674) (679,X679) (370,X370) (24,X24) (333,X333) (684,X684) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (688,X688) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (693,X693) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (683,X683) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (680,X680) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (663,X663) (396,X396) (668,X668) (50,X50) (359,X359) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (400,X400) (363,X363) (405,X405) (59,X59) (368,X368) (22,X22) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (687,X687) (650,X650) (613,X613) (692,X692) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (697,X697) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (696,X696) (659,X659) (313,X313) (350,X350) (664,X664) (9,X9) (318,X318) (355,X355) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (689,X689) (694,X694) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
720
Output:
(678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (426,X426) (698,X698) (389,X389) (431,X431) (703,X703) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (708,X708) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (681,X681) (272,X272) (686,X686) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (685,X685) (648,X648) (376,X376) (690,X690) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (695,X695) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (699,X699) (390,X390) (44,X44) (7,X7) (353,X353) (704,X704) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (682,X682) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (715,X715) (702,X702) (665,X665) (707,X707) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (691,X691) (654,X654) (308,X308) (345,X345) (4,X4) (420,X420) (711,X711) (383,X383) (674,X674) (716,X716) (679,X679) (370,X370) (24,X24) (333,X333) (684,X684) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (424,X424) (387,X387) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (688,X688) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (693,X693) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (683,X683) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (712,X712) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (717,X717) (680,X680) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (713,X713) (718,X718) (446,X446) (409,X409) (100,X100) (372,X372) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (700,X700) (663,X663) (705,X705) (396,X396) (668,X668) (50,X50) (359,X359) (710,X710) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (709,X709) (400,X400) (363,X363) (714,X714) (405,X405) (59,X59) (368,X368) (22,X22) (719,X719) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (687,X687) (650,X650) (613,X613) (692,X692) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (697,X697) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (696,X696) (659,X659) (313,X313) (350,X350) (701,X701) (664,X664) (9,X9) (318,X318) (355,X355) (706,X706) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (689,X689) (694,X694) (385,X385) (322,X322) (18,X18) (327,X327)
Input:
740
Output:
(678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (735,X735) (426,X426) (698,X698) (389,X389) (431,X431) (703,X703) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (708,X708) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (681,X681) (272,X272) (686,X686) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (722,X722) (685,X685) (648,X648) (376,X376) (727,X727) (690,X690) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (732,X732) (695,X695) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (699,X699) (390,X390) (44,X44) (7,X7) (353,X353) (704,X704) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (734,X734) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (682,X682) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (715,X715) (720,X720) (702,X702) (665,X665) (707,X707) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (691,X691) (654,X654) (308,X308) (345,X345) (4,X4) (724,X724) (729,X729) (420,X420) (711,X711) (383,X383) (674,X674) (716,X716) (679,X679) (370,X370) (24,X24) (333,X333) (721,X721) (684,X684) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (733,X733) (424,X424) (387,X387) (738,X738) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (725,X725) (688,X688) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (730,X730) (693,X693) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (683,X683) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (712,X712) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (717,X717) (680,X680) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (713,X713) (718,X718) (446,X446) (409,X409) (100,X100) (372,X372) (723,X723) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (728,X728) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (737,X737) (700,X700) (663,X663) (705,X705) (396,X396) (668,X668) (50,X50) (359,X359) (710,X710) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (709,X709) (400,X400) (363,X363) (714,X714) (405,X405) (59,X59) (368,X368) (22,X22) (719,X719) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (739,X739) (435,X435) (398,X398) (440,X440) (31,X31) (68,X68) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (687,X687) (650,X650) (613,X613) (692,X692) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (697,X697) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (696,X696) (659,X659) (313,X313) (350,X350) (701,X701) (664,X664) (9,X9) (318,X318) (355,X355) (706,X706) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (726,X726) (689,X689) (731,X731) (694,X694) (385,X385) (322,X322) (736,X736) (18,X18) (327,X327)
Input:
760
Output:
(741,X741) (678,X678) (23,X23) (60,X60) (332,X332) (369,X369) (5,X5) (314,X314) (277,X277) (628,X628) (10,X10) (282,X282) (319,X319) (356,X356) (15,X15) (735,X735) (426,X426) (698,X698) (389,X389) (740,X740) (431,X431) (703,X703) (394,X394) (48,X48) (11,X11) (85,X85) (357,X357) (745,X745) (708,X708) (436,X436) (399,X399) (90,X90) (16,X16) (53,X53) (362,X362) (441,X441) (404,X404) (95,X95) (367,X367) (21,X21) (58,X58) (63,X63) (511,X511) (474,X474) (516,X516) (521,X521) (403,X403) (94,X94) (57,X57) (445,X445) (408,X408) (99,X99) (62,X62) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (483,X483) (174,X174) (137,X137) (562,X562) (525,X525) (488,X488) (179,X179) (142,X142) (567,X567) (530,X530) (493,X493) (184,X184) (147,X147) (517,X517) (189,X189) (152,X152) (134,X134) (97,X97) (139,X139) (600,X600) (563,X563) (587,X587) (550,X550) (592,X592) (492,X492) (183,X183) (146,X146) (597,X597) (534,X534) (497,X497) (188,X188) (151,X151) (225,X225) (502,X502) (156,X156) (193,X193) (230,X230) (646,X646) (609,X609) (300,X300) (263,X263) (596,X596) (559,X559) (250,X250) (213,X213) (601,X601) (564,X564) (218,X218) (255,X255) (181,X181) (606,X606) (569,X569) (223,X223) (260,X260) (186,X186) (228,X228) (265,X265) (676,X676) (639,X639) (681,X681) (272,X272) (686,X686) (623,X623) (568,X568) (222,X222) (259,X259) (610,X610) (301,X301) (573,X573) (227,X227) (264,X264) (615,X615) (578,X578) (306,X306) (232,X232) (269,X269) (722,X722) (685,X685) (648,X648) (376,X376) (727,X727) (690,X690) (653,X653) (35,X35) (307,X307) (344,X344) (381,X381) (732,X732) (695,X695) (658,X658) (386,X386) (40,X40) (3,X3) (312,X312) (349,X349) (391,X391) (45,X45) (8,X8) (317,X317) (354,X354) (461,X461) (348,X348) (699,X699) (390,X390) (44,X44) (7,X7) (353,X353) (704,X704) (395,X395) (12,X12) (49,X49) (358,X358) (54,X54) (17,X17) (470,X470) (433,X433) (124,X124) (87,X87) (512,X512) (475,X475) (438,X438) (129,X129) (92,X92) (74,X74) (480,X480) (37,X37) (443,X443) (734,X734) (425,X425) (388,X388) (42,X42) (79,X79) (430,X430) (393,X393) (84,X84) (26,X26) (537,X537) (437,X437) (542,X542) (479,X479) (442,X442) (170,X170) (133,X133) (96,X96) (484,X484) (175,X175) (447,X447) (138,X138) (101,X101) (452,X452) (180,X180) (471,X471) (434,X434) (143,X143) (125,X125) (106,X106) (397,X397) (51,X51) (88,X88) (402,X402) (130,X130) (93,X93) (56,X56) (546,X546) (509,X509) (472,X472) (163,X163) (200,X200) (551,X551) (514,X514) (477,X477) (168,X168) (131,X131) (205,X205) (556,X556) (519,X519) (210,X210) (482,X482) (173,X173) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (518,X518) (172,X172) (209,X209) (560,X560) (523,X523) (214,X214) (177,X177) (565,X565) (528,X528) (182,X182) (219,X219) (256,X256) (672,X672) (635,X635) (598,X598) (326,X326) (677,X677) (640,X640) (331,X331) (603,X603) (257,X257) (294,X294) (682,X682) (645,X645) (608,X608) (336,X336) (262,X262) (299,X299) (304,X304) (341,X341) (191,X191) (254,X254) (291,X291) (752,X752) (715,X715) (757,X757) (720,X720) (702,X702) (665,X665) (707,X707) (644,X644) (335,X335) (298,X298) (649,X649) (303,X303) (340,X340) (691,X691) (654,X654) (308,X308) (345,X345) (4,X4) (724,X724) (729,X729) (420,X420) (711,X711) (383,X383) (674,X674) (716,X716) (679,X679) (370,X370) (24,X24) (333,X333) (721,X721) (684,X684) (375,X375) (29,X29) (338,X338) (343,X343) (380,X380) (13,X13) (733,X733) (424,X424) (387,X387) (738,X738) (466,X466) (429,X429) (392,X392) (120,X120) (411,X411) (46,X46) (83,X83) (374,X374) (337,X337) (743,X743) (725,X725) (688,X688) (416,X416) (33,X33) (70,X70) (342,X342) (379,X379) (730,X730) (693,X693) (421,X421) (38,X38) (75,X75) (347,X347) (384,X384) (1,X1) (43,X43) (6,X6) (80,X80) (352,X352) (496,X496) (459,X459) (422,X422) (150,X150) (501,X501) (464,X464) (155,X155) (427,X427) (118,X118) (506,X506) (469,X469) (432,X432) (160,X160) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (500,X500) (463,X463) (505,X505) (468,X468) (159,X159) (122,X122) (547,X547) (510,X510) (473,X473) (164,X164) (127,X127) (515,X515) (478,X478) (169,X169) (132,X132) (622,X622) (585,X585) (276,X276) (548,X548) (627,X627) (590,X590) (553,X553) (244,X244) (281,X281) (207,X207) (632,X632) (595,X595) (558,X558) (249,X249) (286,X286) (577,X577) (194,X194) (582,X582) (545,X545) (508,X508) (136,X136) (199,X199) (178,X178) (141,X141) (652,X652) (589,X589) (594,X594) (248,X248) (285,X285) (211,X211) (636,X636) (599,X599) (216,X216) (253,X253) (290,X290) (641,X641) (604,X604) (295,X295) (221,X221) (258,X258) (591,X591) (554,X554) (226,X226) (245,X245) (171,X171) (208,X208) (176,X176) (661,X661) (624,X624) (666,X666) (629,X629) (283,X283) (320,X320) (671,X671) (634,X634) (288,X288) (325,X325) (267,X267) (330,X330) (217,X217) (683,X683) (670,X670) (633,X633) (287,X287) (324,X324) (361,X361) (712,X712) (675,X675) (366,X366) (638,X638) (20,X20) (292,X292) (329,X329) (717,X717) (680,X680) (643,X643) (334,X334) (371,X371) (25,X25) (297,X297) (30,X30) (339,X339) (302,X302) (750,X750) (713,X713) (755,X755) (718,X718) (446,X446) (409,X409) (100,X100) (372,X372) (723,X723) (451,X451) (414,X414) (105,X105) (377,X377) (456,X456) (728,X728) (419,X419) (110,X110) (34,X34) (39,X39) (2,X2) (759,X759) (450,X450) (413,X413) (455,X455) (418,X418) (109,X109) (72,X72) (460,X460) (423,X423) (114,X114) (77,X77) (465,X465) (428,X428) (119,X119) (82,X82) (572,X572) (535,X535) (498,X498) (540,X540) (522,X522) (503,X503) (485,X485) (448,X448) (527,X527) (490,X490) (453,X453) (144,X144) (81,X81) (532,X532) (495,X495) (123,X123) (86,X86) (128,X128) (91,X91) (539,X539) (581,X581) (544,X544) (507,X507) (161,X161) (198,X198) (235,X235) (586,X586) (549,X549) (240,X240) (531,X531) (494,X494) (185,X185) (166,X166) (203,X203) (457,X457) (148,X148) (111,X111) (536,X536) (499,X499) (462,X462) (190,X190) (153,X153) (116,X116) (541,X541) (504,X504) (467,X467) (158,X158) (195,X195) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (579,X579) (270,X270) (621,X621) (584,X584) (212,X212) (275,X275) (157,X157) (162,X162) (167,X167) (204,X204) (657,X657) (620,X620) (583,X583) (311,X311) (237,X237) (274,X274) (662,X662) (625,X625) (588,X588) (279,X279) (316,X316) (242,X242) (667,X667) (630,X630) (593,X593) (247,X247) (284,X284) (321,X321) (252,X252) (289,X289) (737,X737) (700,X700) (663,X663) (742,X742) (705,X705) (396,X396) (668,X668) (50,X50) (359,X359) (747,X747) (710,X710) (673,X673) (401,X401) (364,X364) (55,X55) (246,X246) (406,X406) (251,X251) (351,X351) (293,X293) (746,X746) (709,X709) (400,X400) (363,X363) (751,X751) (714,X714) (405,X405) (59,X59) (368,X368) (22,X22) (756,X756) (719,X719) (410,X410) (27,X27) (64,X64) (373,X373) (415,X415) (32,X32) (69,X69) (378,X378) (14,X14) (365,X365) (19,X19) (328,X328) (739,X739) (744,X744) (435,X435) (398,X398) (749,X749) (440,X440) (31,X31) (68,X68) (754,X754) (36,X36) (73,X73) (382,X382) (115,X115) (41,X41) (78,X78) (65,X65) (28,X28) (526,X526) (489,X489) (748,X748) (476,X476) (439,X439) (753,X753) (481,X481) (444,X444) (407,X407) (135,X135) (98,X98) (61,X61) (486,X486) (758,X758) (449,X449) (412,X412) (140,X140) (103,X103) (66,X66) (491,X491) (454,X454) (417,X417) (145,X145) (108,X108) (71,X71) (113,X113) (76,X76) (561,X561) (524,X524) (487,X487) (566,X566) (529,X529) (220,X220) (571,X571) (107,X107) (458,X458) (149,X149) (112,X112) (154,X154) (117,X117) (602,X602) (607,X607) (570,X570) (533,X533) (187,X187) (224,X224) (261,X261) (612,X612) (575,X575) (538,X538) (192,X192) (229,X229) (266,X266) (617,X617) (580,X580) (271,X271) (543,X543) (197,X197) (234,X234) (239,X239) (202,X202) (687,X687) (650,X650) (613,X613) (692,X692) (655,X655) (618,X618) (309,X309) (346,X346) (637,X637) (697,X697) (660,X660) (642,X642) (605,X605) (196,X196) (233,X233) (296,X296) (647,X647) (201,X201) (238,X238) (243,X243) (280,X280) (206,X206) (696,X696) (659,X659) (313,X313) (350,X350) (701,X701) (664,X664) (9,X9) (318,X318) (355,X355) (706,X706) (669,X669) (360,X360) (651,X651) (614,X614) (323,X323) (231,X231) (268,X268) (305,X305) (656,X656) (619,X619) (310,X310) (236,X236) (273,X273) (278,X278) (315,X315) (241,X241) (726,X726) (689,X689) (731,X731) (694,X694) (385,X385) (322,X322) (736,X736) (18,X18) (327,X327)
Input:
780
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (474,X474) (511,X511) (516,X516) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (174,X174) (483,X483) (137,X137) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (765,X765) (770,X770) (461,X461) (775,X775) (348,X348) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (774,X774) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (512,X512) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (537,X537) (437,X437) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (761,X761) (724,X724) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (424,X424) (733,X733) (387,X387) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (763,X763) (459,X459) (496,X496) (150,X150) (422,X422) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (505,X505) (159,X159) (468,X468) (122,X122) (547,X547) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (750,X750) (713,X713) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (572,X572) (535,X535) (498,X498) (503,X503) (540,X540) (522,X522) (485,X485) (448,X448) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (532,X532) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (776,X776) (739,X739) (435,X435) (744,X744) (398,X398) (68,X68) (31,X31) (440,X440) (749,X749) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (526,X526) (489,X489) (476,X476) (439,X439) (748,X748) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
800
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (474,X474) (511,X511) (516,X516) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (174,X174) (483,X483) (137,X137) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (765,X765) (770,X770) (461,X461) (775,X775) (348,X348) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (774,X774) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (537,X537) (437,X437) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (796,X796) (424,X424) (733,X733) (387,X387) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (763,X763) (459,X459) (496,X496) (150,X150) (422,X422) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (505,X505) (159,X159) (468,X468) (122,X122) (547,X547) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (572,X572) (535,X535) (498,X498) (503,X503) (540,X540) (522,X522) (794,X794) (485,X485) (448,X448) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (532,X532) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (789,X789) (776,X776) (739,X739) (781,X781) (435,X435) (744,X744) (398,X398) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (526,X526) (489,X489) (785,X785) (476,X476) (439,X439) (748,X748) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
820
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (815,X815) (474,X474) (511,X511) (516,X516) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (552,X552) (557,X557) (520,X520) (174,X174) (483,X483) (137,X137) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (811,X811) (774,X774) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (537,X537) (809,X809) (437,X437) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (796,X796) (424,X424) (733,X733) (387,X387) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (800,X800) (763,X763) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (572,X572) (535,X535) (498,X498) (503,X503) (540,X540) (522,X522) (794,X794) (485,X485) (448,X448) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (526,X526) (489,X489) (785,X785) (476,X476) (439,X439) (748,X748) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
840
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (815,X815) (820,X820) (474,X474) (511,X511) (825,X825) (516,X516) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (824,X824) (552,X552) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (811,X811) (774,X774) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (537,X537) (809,X809) (437,X437) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (839,X839) (572,X572) (535,X535) (498,X498) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (835,X835) (526,X526) (489,X489) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
860
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (825,X825) (516,X516) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (824,X824) (552,X552) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (859,X859) (550,X550) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (846,X846) (537,X537) (809,X809) (437,X437) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (850,X850) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (839,X839) (572,X572) (844,X844) (535,X535) (498,X498) (849,X849) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (835,X835) (526,X526) (489,X489) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (524,X524) (561,X561) (487,X487) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (602,X602) (607,X607) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
880
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (587,X587) (859,X859) (550,X550) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (846,X846) (537,X537) (809,X809) (437,X437) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (850,X850) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (622,X622) (276,X276) (585,X585) (548,X548) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (876,X876) (839,X839) (572,X572) (844,X844) (535,X535) (498,X498) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (865,X865) (870,X870) (524,X524) (561,X561) (487,X487) (875,X875) (566,X566) (220,X220) (529,X529) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (874,X874) (602,X602) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
900
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (563,X563) (600,X600) (891,X891) (896,X896) (587,X587) (859,X859) (550,X550) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (596,X596) (250,X250) (559,X559) (213,X213) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (885,X885) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (889,X889) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (876,X876) (839,X839) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (865,X865) (870,X870) (524,X524) (561,X561) (487,X487) (875,X875) (566,X566) (220,X220) (529,X529) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (874,X874) (602,X602) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (296,X296) (233,X233) (605,X605) (196,X196) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
920
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (909,X909) (563,X563) (600,X600) (891,X891) (896,X896) (587,X587) (859,X859) (550,X550) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (885,X885) (576,X576) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (889,X889) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (915,X915) (611,X611) (574,X574) (616,X616) (270,X270) (579,X579) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (657,X657) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
940
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (909,X909) (563,X563) (600,X600) (928,X928) (891,X891) (933,X933) (896,X896) (587,X587) (859,X859) (550,X550) (938,X938) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (300,X300) (609,X609) (646,X646) (263,X263) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (937,X937) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (935,X935) (626,X626) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (939,X939) (672,X672) (326,X326) (598,X598) (635,X635) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (922,X922) (885,X885) (576,X576) (927,X927) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (926,X926) (889,X889) (931,X931) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (936,X936) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (923,X923) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (539,X539) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (932,X932) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (915,X915) (920,X920) (611,X611) (574,X574) (925,X925) (616,X616) (270,X270) (579,X579) (930,X930) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (924,X924) (657,X657) (929,X929) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (934,X934) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (921,X921) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
960
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (941,X941) (946,X946) (909,X909) (563,X563) (600,X600) (928,X928) (891,X891) (933,X933) (896,X896) (587,X587) (859,X859) (550,X550) (938,X938) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (943,X943) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (950,X950) (955,X955) (300,X300) (609,X609) (646,X646) (263,X263) (942,X942) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (947,X947) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (937,X937) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (935,X935) (626,X626) (940,X940) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (939,X939) (672,X672) (944,X944) (326,X326) (598,X598) (635,X635) (949,X949) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (954,X954) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (922,X922) (885,X885) (576,X576) (927,X927) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (926,X926) (889,X889) (931,X931) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (936,X936) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (945,X945) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (661,X661) (624,X624) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (923,X923) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (948,X948) (539,X539) (953,X953) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (932,X932) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (952,X952) (915,X915) (957,X957) (920,X920) (611,X611) (574,X574) (925,X925) (616,X616) (270,X270) (579,X579) (930,X930) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (924,X924) (657,X657) (929,X929) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (934,X934) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (958,X958) (921,X921) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (959,X959) (613,X613) (650,X650) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (660,X660) (951,X951) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (956,X956) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
980
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (978,X978) (941,X941) (946,X946) (909,X909) (563,X563) (600,X600) (928,X928) (891,X891) (933,X933) (896,X896) (587,X587) (859,X859) (550,X550) (938,X938) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (943,X943) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (950,X950) (955,X955) (300,X300) (609,X609) (646,X646) (263,X263) (960,X960) (942,X942) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (947,X947) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (676,X676) (639,X639) (272,X272) (681,X681) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (937,X937) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (972,X972) (935,X935) (626,X626) (977,X977) (940,X940) (631,X631) (513,X513) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (976,X976) (939,X939) (672,X672) (944,X944) (326,X326) (598,X598) (635,X635) (949,X949) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (954,X954) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (974,X974) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (922,X922) (885,X885) (576,X576) (927,X927) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (963,X963) (926,X926) (889,X889) (968,X968) (931,X931) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (973,X973) (936,X936) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (961,X961) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (945,X945) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (965,X965) (970,X970) (661,X661) (624,X624) (975,X975) (629,X629) (666,X666) (320,X320) (283,X283) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (979,X979) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (923,X923) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (948,X948) (539,X539) (953,X953) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (932,X932) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (952,X952) (915,X915) (957,X957) (920,X920) (611,X611) (574,X574) (962,X962) (925,X925) (616,X616) (270,X270) (579,X579) (967,X967) (930,X930) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (924,X924) (966,X966) (657,X657) (929,X929) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (971,X971) (934,X934) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (958,X958) (921,X921) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (687,X687) (959,X959) (613,X613) (650,X650) (964,X964) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (969,X969) (660,X660) (951,X951) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (956,X956) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
Input:
1000
Output:
(678,X678) (369,X369) (332,X332) (60,X60) (23,X23) (741,X741) (314,X314) (5,X5) (277,X277) (356,X356) (319,X319) (628,X628) (282,X282) (10,X10) (15,X15) (772,X772) (426,X426) (735,X735) (389,X389) (698,X698) (777,X777) (431,X431) (740,X740) (357,X357) (85,X85) (48,X48) (394,X394) (703,X703) (11,X11) (782,X782) (745,X745) (90,X90) (399,X399) (436,X436) (708,X708) (362,X362) (53,X53) (16,X16) (441,X441) (367,X367) (95,X95) (404,X404) (58,X58) (21,X21) (63,X63) (852,X852) (815,X815) (857,X857) (820,X820) (474,X474) (511,X511) (862,X862) (825,X825) (516,X516) (867,X867) (830,X830) (521,X521) (94,X94) (403,X403) (57,X57) (445,X445) (62,X62) (99,X99) (408,X408) (104,X104) (67,X67) (861,X861) (824,X824) (552,X552) (903,X903) (866,X866) (557,X557) (829,X829) (520,X520) (174,X174) (483,X483) (137,X137) (908,X908) (871,X871) (834,X834) (562,X562) (179,X179) (488,X488) (525,X525) (142,X142) (530,X530) (567,X567) (184,X184) (493,X493) (147,X147) (152,X152) (189,X189) (517,X517) (97,X97) (134,X134) (139,X139) (978,X978) (941,X941) (983,X983) (946,X946) (909,X909) (563,X563) (600,X600) (928,X928) (891,X891) (933,X933) (896,X896) (587,X587) (859,X859) (550,X550) (938,X938) (901,X901) (864,X864) (183,X183) (492,X492) (592,X592) (146,X146) (943,X943) (906,X906) (225,X225) (534,X534) (597,X597) (151,X151) (188,X188) (497,X497) (230,X230) (193,X193) (502,X502) (156,X156) (950,X950) (992,X992) (955,X955) (300,X300) (609,X609) (646,X646) (263,X263) (997,X997) (960,X960) (942,X942) (905,X905) (596,X596) (250,X250) (559,X559) (213,X213) (947,X947) (910,X910) (601,X601) (255,X255) (218,X218) (564,X564) (181,X181) (260,X260) (569,X569) (606,X606) (223,X223) (186,X186) (265,X265) (228,X228) (985,X985) (676,X676) (639,X639) (990,X990) (272,X272) (681,X681) (995,X995) (623,X623) (686,X686) (568,X568) (259,X259) (222,X222) (301,X301) (610,X610) (264,X264) (573,X573) (227,X227) (306,X306) (578,X578) (615,X615) (269,X269) (232,X232) (989,X989) (994,X994) (685,X685) (722,X722) (376,X376) (648,X648) (727,X727) (999,X999) (381,X381) (690,X690) (344,X344) (307,X307) (35,X35) (653,X653) (732,X732) (349,X349) (386,X386) (658,X658) (695,X695) (312,X312) (3,X3) (40,X40) (391,X391) (354,X354) (45,X45) (317,X317) (8,X8) (802,X802) (765,X765) (807,X807) (770,X770) (461,X461) (812,X812) (775,X775) (348,X348) (817,X817) (699,X699) (353,X353) (44,X44) (390,X390) (762,X762) (7,X7) (395,X395) (704,X704) (358,X358) (49,X49) (12,X12) (54,X54) (17,X17) (848,X848) (811,X811) (774,X774) (853,X853) (816,X816) (779,X779) (470,X470) (124,X124) (433,X433) (87,X87) (858,X858) (821,X821) (512,X512) (784,X784) (438,X438) (475,X475) (92,X92) (129,X129) (74,X74) (37,X37) (480,X480) (808,X808) (443,X443) (771,X771) (79,X79) (388,X388) (425,X425) (734,X734) (42,X42) (430,X430) (84,X84) (393,X393) (26,X26) (878,X878) (883,X883) (846,X846) (537,X537) (809,X809) (437,X437) (888,X888) (851,X851) (133,X133) (170,X170) (442,X442) (479,X479) (542,X542) (96,X96) (893,X893) (175,X175) (484,X484) (138,X138) (447,X447) (101,X101) (180,X180) (452,X452) (106,X106) (143,X143) (471,X471) (125,X125) (434,X434) (88,X88) (51,X51) (397,X397) (93,X93) (130,X130) (402,X402) (56,X56) (937,X937) (900,X900) (887,X887) (850,X850) (892,X892) (855,X855) (200,X200) (509,X509) (546,X546) (163,X163) (472,X472) (897,X897) (860,X860) (551,X551) (205,X205) (477,X477) (514,X514) (131,X131) (168,X168) (210,X210) (519,X519) (556,X556) (173,X173) (482,X482) (215,X215) (102,X102) (972,X972) (935,X935) (626,X626) (977,X977) (940,X940) (631,X631) (513,X513) (982,X982) (555,X555) (209,X209) (172,X172) (518,X518) (869,X869) (560,X560) (214,X214) (523,X523) (177,X177) (256,X256) (565,X565) (219,X219) (182,X182) (528,X528) (976,X976) (939,X939) (981,X981) (672,X672) (944,X944) (326,X326) (598,X598) (635,X635) (986,X986) (949,X949) (331,X331) (640,X640) (677,X677) (294,X294) (603,X603) (257,X257) (682,X682) (954,X954) (336,X336) (608,X608) (645,X645) (299,X299) (262,X262) (341,X341) (304,X304) (291,X291) (254,X254) (191,X191) (715,X715) (752,X752) (757,X757) (720,X720) (974,X974) (665,X665) (702,X702) (335,X335) (644,X644) (707,X707) (298,X298) (340,X340) (303,X303) (649,X649) (691,X691) (345,X345) (654,X654) (308,X308) (4,X4) (798,X798) (761,X761) (724,X724) (803,X803) (420,X420) (729,X729) (766,X766) (383,X383) (711,X711) (674,X674) (370,X370) (679,X679) (716,X716) (333,X333) (24,X24) (721,X721) (375,X375) (684,X684) (338,X338) (29,X29) (380,X380) (343,X343) (13,X13) (828,X828) (833,X833) (796,X796) (424,X424) (733,X733) (387,X387) (838,X838) (466,X466) (120,X120) (392,X392) (429,X429) (738,X738) (83,X83) (46,X46) (411,X411) (374,X374) (337,X337) (780,X780) (743,X743) (416,X416) (725,X725) (379,X379) (342,X342) (70,X70) (33,X33) (688,X688) (730,X730) (767,X767) (384,X384) (75,X75) (421,X421) (693,X693) (347,X347) (38,X38) (1,X1) (352,X352) (80,X80) (6,X6) (43,X43) (837,X837) (800,X800) (763,X763) (842,X842) (805,X805) (459,X459) (496,X496) (150,X150) (422,X422) (847,X847) (810,X810) (501,X501) (155,X155) (464,X464) (118,X118) (427,X427) (506,X506) (160,X160) (432,X432) (469,X469) (165,X165) (47,X47) (89,X89) (52,X52) (922,X922) (885,X885) (576,X576) (927,X927) (463,X463) (500,X500) (814,X814) (505,X505) (159,X159) (468,X468) (122,X122) (856,X856) (547,X547) (819,X819) (164,X164) (473,X473) (510,X510) (127,X127) (515,X515) (169,X169) (478,X478) (132,X132) (963,X963) (926,X926) (889,X889) (968,X968) (931,X931) (622,X622) (894,X894) (276,X276) (585,X585) (548,X548) (973,X973) (936,X936) (899,X899) (590,X590) (627,X627) (281,X281) (244,X244) (553,X553) (207,X207) (632,X632) (904,X904) (286,X286) (595,X595) (249,X249) (558,X558) (577,X577) (194,X194) (582,X582) (854,X854) (136,X136) (508,X508) (545,X545) (199,X199) (178,X178) (141,X141) (998,X998) (961,X961) (589,X589) (652,X652) (285,X285) (594,X594) (248,X248) (211,X211) (945,X945) (636,X636) (290,X290) (599,X599) (253,X253) (216,X216) (295,X295) (604,X604) (641,X641) (258,X258) (221,X221) (226,X226) (245,X245) (554,X554) (591,X591) (208,X208) (171,X171) (176,X176) (965,X965) (970,X970) (661,X661) (624,X624) (975,X975) (629,X629) (666,X666) (320,X320) (283,X283) (980,X980) (671,X671) (325,X325) (634,X634) (288,X288) (267,X267) (330,X330) (217,X217) (778,X778) (783,X783) (683,X683) (979,X979) (361,X361) (324,X324) (633,X633) (670,X670) (287,X287) (712,X712) (984,X984) (366,X366) (675,X675) (329,X329) (20,X20) (638,X638) (292,X292) (717,X717) (371,X371) (334,X334) (643,X643) (680,X680) (297,X297) (25,X25) (339,X339) (30,X30) (302,X302) (787,X787) (750,X750) (713,X713) (792,X792) (446,X446) (718,X718) (755,X755) (372,X372) (100,X100) (409,X409) (797,X797) (760,X760) (105,X105) (414,X414) (451,X451) (723,X723) (377,X377) (456,X456) (110,X110) (419,X419) (728,X728) (34,X34) (39,X39) (2,X2) (872,X872) (413,X413) (450,X450) (759,X759) (801,X801) (455,X455) (764,X764) (109,X109) (418,X418) (72,X72) (843,X843) (806,X806) (769,X769) (460,X460) (77,X77) (114,X114) (423,X423) (465,X465) (119,X119) (428,X428) (82,X82) (913,X913) (876,X876) (839,X839) (918,X918) (881,X881) (572,X572) (844,X844) (535,X535) (498,X498) (923,X923) (886,X886) (849,X849) (868,X868) (503,X503) (540,X540) (831,X831) (522,X522) (794,X794) (485,X485) (448,X448) (873,X873) (836,X836) (799,X799) (490,X490) (527,X527) (81,X81) (144,X144) (453,X453) (841,X841) (532,X532) (804,X804) (123,X123) (495,X495) (86,X86) (91,X91) (128,X128) (948,X948) (539,X539) (953,X953) (890,X890) (544,X544) (581,X581) (235,X235) (198,X198) (507,X507) (161,X161) (932,X932) (895,X895) (586,X586) (240,X240) (549,X549) (203,X203) (166,X166) (185,X185) (494,X494) (531,X531) (148,X148) (457,X457) (111,X111) (882,X882) (845,X845) (536,X536) (190,X190) (462,X462) (499,X499) (116,X116) (153,X153) (504,X504) (541,X541) (195,X195) (158,X158) (467,X467) (121,X121) (126,X126) (952,X952) (915,X915) (957,X957) (920,X920) (611,X611) (574,X574) (962,X962) (925,X925) (616,X616) (270,X270) (579,X579) (967,X967) (930,X930) (621,X621) (275,X275) (212,X212) (584,X584) (157,X157) (162,X162) (204,X204) (167,X167) (924,X924) (966,X966) (657,X657) (929,X929) (311,X311) (583,X583) (620,X620) (274,X274) (237,X237) (971,X971) (934,X934) (316,X316) (625,X625) (662,X662) (279,X279) (588,X588) (242,X242) (667,X667) (321,X321) (593,X593) (630,X630) (284,X284) (247,X247) (289,X289) (252,X252) (700,X700) (737,X737) (663,X663) (742,X742) (396,X396) (705,X705) (359,X359) (50,X50) (668,X668) (747,X747) (364,X364) (401,X401) (673,X673) (710,X710) (55,X55) (246,X246) (406,X406) (351,X351) (251,X251) (293,X293) (746,X746) (400,X400) (709,X709) (363,X363) (788,X788) (714,X714) (751,X751) (368,X368) (59,X59) (405,X405) (22,X22) (793,X793) (756,X756) (410,X410) (719,X719) (373,X373) (64,X64) (27,X27) (378,X378) (69,X69) (415,X415) (32,X32) (14,X14) (365,X365) (328,X328) (19,X19) (863,X863) (826,X826) (789,X789) (813,X813) (776,X776) (739,X739) (818,X818) (781,X781) (435,X435) (744,X744) (398,X398) (823,X823) (786,X786) (68,X68) (31,X31) (440,X440) (749,X749) (791,X791) (382,X382) (73,X73) (754,X754) (36,X36) (115,X115) (78,X78) (41,X41) (65,X65) (28,X28) (898,X898) (835,X835) (526,X526) (489,X489) (877,X877) (840,X840) (822,X822) (785,X785) (476,X476) (439,X439) (748,X748) (827,X827) (790,X790) (444,X444) (481,X481) (753,X753) (98,X98) (135,X135) (407,X407) (61,X61) (832,X832) (795,X795) (486,X486) (140,X140) (449,X449) (758,X758) (66,X66) (103,X103) (412,X412) (491,X491) (108,X108) (145,X145) (417,X417) (454,X454) (71,X71) (113,X113) (76,X76) (902,X902) (865,X865) (907,X907) (870,X870) (524,X524) (561,X561) (487,X487) (912,X912) (875,X875) (566,X566) (220,X220) (529,X529) (917,X917) (880,X880) (571,X571) (107,X107) (458,X458) (112,X112) (149,X149) (154,X154) (117,X117) (987,X987) (911,X911) (874,X874) (602,X602) (916,X916) (607,X607) (879,X879) (261,X261) (570,X570) (224,X224) (187,X187) (533,X533) (958,X958) (921,X921) (884,X884) (575,X575) (612,X612) (266,X266) (229,X229) (538,X538) (192,X192) (617,X617) (271,X271) (580,X580) (234,X234) (197,X197) (543,X543) (239,X239) (202,X202) (991,X991) (996,X996) (687,X687) (959,X959) (613,X613) (650,X650) (964,X964) (346,X346) (655,X655) (692,X692) (309,X309) (618,X618) (637,X637) (697,X697) (969,X969) (660,X660) (988,X988) (951,X951) (642,X642) (914,X914) (296,X296) (233,X233) (605,X605) (196,X196) (993,X993) (956,X956) (919,X919) (647,X647) (238,X238) (201,X201) (280,X280) (243,X243) (206,X206) (696,X696) (350,X350) (659,X659) (313,X313) (701,X701) (355,X355) (318,X318) (9,X9) (664,X664) (706,X706) (360,X360) (669,X669) (323,X323) (614,X614) (651,X651) (305,X305) (268,X268) (231,X231) (656,X656) (310,X310) (619,X619) (273,X273) (236,X236) (315,X315) (278,X278) (241,X241) (726,X726) (689,X689) (768,X768) (322,X322) (385,X385) (694,X694) (731,X731) (773,X773) (736,X736) (327,X327) (18,X18)
The overview over the suite is in chapter Suite Large Mutable Map.
The report for this suite was generated in 288.888 seconds.