# FILE NAME: 00058-00000274.soi
# TITLE: Wallsend 2023
# DESCRIPTION: 
# DATA TYPE: soi
# MODIFICATION TYPE: original
# RELATES TO: 
# RELATED FILES: 
# PUBLICATION DATE: 2023-03-25
# MODIFICATION DATE: 2023-05-22
# NUMBER ALTERNATIVES: 7
# NUMBER VOTERS: 51808
# NUMBER UNIQUE ORDERS: 2985
# ALTERNATIVE NAME 1: AKERS Paul
# ALTERNATIVE NAME 2: DI GIROLAMO Pietro
# ALTERNATIVE NAME 3: HORNERY Sonia
# ALTERNATIVE NAME 4: NOLAN Anna
# ALTERNATIVE NAME 5: PULL Callum
# ALTERNATIVE NAME 6: STARRETT Joshua
# ALTERNATIVE NAME 7: WATKINS Rebecca
22786: 3
4824: 5
2042: 2
1422: 7
1285: 3,7
624: 7,3
517: 4
473: 7,4,3,1,5,6,2
427: 6
408: 3,5
322: 3,7,4
313: 1
238: 3,7,4,1,6,5,2
229: 5,3
220: 3,7,4,6,1,5,2
195: 3,4
184: 3,2
164: 7,3,4,1,6,5,2
155: 2,5
152: 2,5,6,1,4,3,7
146: 5,2
140: 3,7,1,4,6,5,2
138: 3,6
119: 3,7,4,1,6,2,5
113: 3,7,4,2,6,5,1
110: 3,7,6,1,4,5,2
108: 3,7,6,4,1,5,2
106: 7,3,1,4,6,5,2
105: 3,7,4,6,1,2,5
103: 3,7,6
102: 7,3,4,1,5,6,2
101: 7,3,4
101: 3,7,5
98: 7,4,3
97: 7,4
95: 3,7,4,6,5,1,2
92: 3,7,1
92: 7,3,4,6,1,5,2
90: 7,4,3,1,6,5,2
88: 3,7,4,1
85: 3,5,7
82: 3,7,1,6,4,5,2
81: 7,4,2,3,6,5,1
79: 2,3
76: 3,1
76: 3,7,4,1,5,6,2
68: 3,7,6,5,1,4,2
68: 3,4,7
66: 3,7,6,1,4,2,5
61: 3,7,6,5,4,1,2
59: 3,7,4,2,6,1,5
58: 7,3,1
53: 3,2,4,7,6,5,1
52: 3,7,6,1,5,4,2
52: 3,6,5,1,2,4,7
50: 5,6
50: 7,3,6,4,1,5,2
49: 7,3,6,1,4,5,2
48: 3,5,6,1,2,4,7
47: 3,7,1,4,5,6,2
45: 3,2,5,6,1,4,7
45: 7,3,4,1,6,2,5
44: 3,7,1,4,6,2,5
44: 3,7,4,6
43: 7,3,1,6,4,5,2
42: 5,7
42: 7,4,3,6,1,5,2
42: 7,4,1,3,6,5,2
41: 3,7,5,6,4,1,2
41: 3,5,6
41: 3,4,7,2,6,5,1
41: 3,7,6,4,1,2,5
39: 3,2,6,5,1,4,7
38: 3,7,4,1,2,6,5
38: 3,5,7,4,2,6,1
38: 3,7,1,6,4,2,5
38: 7,1
37: 3,7,5,6,1,4,2
37: 3,6,5,1,7,4,2
37: 7,3,1,4,5,6,2
37: 2,5,6,1,3,4,7
36: 2,5,6,3,1,4,7
36: 3,5,2,6,1,4,7
36: 3,4,7,6,1,5,2
35: 7,3,5
34: 3,6,7
34: 7,4,1
33: 4,3
33: 3,7,6,4,5,1,2
32: 3,4,7,1,6,5,2
32: 4,7
31: 3,7,1,4
31: 3,7,5,4,6,1,2
31: 7,3,4,1
31: 3,5,2
31: 4,7,3
31: 7,3,6
30: 3,6,5
30: 3,7,4,5,6,1,2
30: 3,7,4,5,1,6,2
30: 7,3,4,6,5,1,2
29: 3,4,7,1,6,2,5
29: 2,6
29: 5,2,6,1,3,4,7
29: 5,2,3,6,1,4,7
29: 7,3,1,4,6,2,5
29: 7,1,4,3,6,5,2
29: 3,7,5,1,6,4,2
28: 5,2,6,1,4,3,7
27: 3,7,1,5,6,4,2
27: 3,6,1,7,4,2,5
27: 3,1,7
27: 5,3,6
27: 7,5
27: 7,1,3,4,6,5,2
27: 3,5,1,6,2,4,7
27: 7,3,6,1,4,2,5
26: 3,2,5
26: 2,5,3,6,1,4,7
26: 3,4,7,2,6,1,5
25: 2,5,6,4,1,3,7
25: 3,6,7,4,1,2,5
25: 3,5,7,6,1,4,2
25: 3,2,7,4,6,1,5
25: 3,6,7,4,2,5,1
24: 3,5,7,6,4,1,2
24: 3,5,6,2,1,4,7
24: 3,7,4,6,2,1,5
23: 3,5,6,1,7,4,2
23: 5,3,2,6,1,4,7
23: 3,5,7,4,6,1,2
23: 3,7,4,6,5,2,1
23: 3,7,1,6,5,4,2
23: 3,6,7,4,5,1,2
23: 3,1,7,4,6,5,2
23: 6,3
22: 5,2,6,3,1,4,7
22: 3,1,4,7,6,2,5
22: 3,2,6,1,4,7,5
22: 3,4,7,6,1,2,5
22: 5,3,7
22: 3,6,7,4,1,5,2
22: 7,3,6,1,5,4,2
22: 7,4,1,3
22: 7,3,6,5,1,4,2
21: 2,1,6,4,5,3,7
21: 3,5,6,2,4,1,7
21: 3,7,1,5
21: 7,3,1,6,4,2,5
21: 3,7,4,5
21: 5,3,6,1,2,4,7
21: 7,3,6,4,5,1,2
21: 7,3,4,6,1,2,5
21: 3,7,4,6,2,5,1
21: 3,5,6,7,4,1,2
20: 3,1,4
20: 3,7,5,4,1,6,2
20: 3,5,6,2,4,7,1
20: 3,2,4,6,1,5,7
20: 7,3,6,5,4,1,2
20: 3,5,6,7,4,2,1
20: 3,6,7,5,1,4,2
19: 3,6,2,4,7,5,1
19: 3,7,6,4,2,1,5
19: 5,2,3
19: 2,1
19: 3,7,5,1,4,6,2
19: 4,7,3,1,6,5,2
19: 7,4,3,6,5,1,2
19: 7,3,1,6,5,4,2
19: 3,5,7,4,1,6,2
19: 3,4,1
18: 3,5,6,2,7,4,1
18: 2,3,5,6,1,4,7
18: 3,1,7,4,6,2,5
18: 7,2
18: 7,1,4
18: 3,5,6,7,1,4,2
18: 7,4,3,1
18: 3,7,4,2,1,6,5
18: 2,5,6
17: 3,6,7,1,4,5,2
17: 7,3,6,4,1,2,5
17: 3,1,4,7,6,5,2
17: 3,7,2,4,6,1,5
17: 5,4
17: 5,2,6
17: 3,6,5,7,1,4,2
17: 3,7,2,4,6,5,1
16: 3,1,5,6,2,4,7
16: 5,3,6,7,4,1,2
16: 3,2,4,6,1,7,5
16: 3,5,2,6,4,1,7
16: 3,5,7,1,6,4,2
16: 3,7,1,5,4,6,2
16: 3,4,1,7,2,6,5
16: 7,4,3,1,6,2,5
16: 2,5,3
16: 2,5,6,3,4,1,7
16: 5,2,6,3,4,1,7
16: 7,4,1,3,5,6,2
16: 3,7,6,5,1,2,4
16: 3,7,4,2
16: 3,4,7,1,5,6,2
16: 3,7,4,5,6,2,1
15: 3,6,5,7,4,1,2
15: 5,2,6,4,1,3,7
15: 5,7,3
15: 7,3,4,5,1,6,2
15: 2,6,5,1,4,3,7
15: 3,4,1,6,7,2,5
15: 3,7,1,4,2,6,5
15: 7,3,4,5,6,1,2
15: 3,1,6
15: 7,1,3
15: 7,5,3
15: 7,6
15: 5,2,6,1,4,7,3
15: 2,5,3,6,4,1,7
15: 3,6,1,5,2,4,7
14: 3,6,7,1,4,2,5
14: 3,2,5,6,1,7,4
14: 3,2,6
14: 3,2,6,5,1,7,4
14: 3,5,6,1,4,7,2
14: 7,4,1,6,3,5,2
14: 3,5,7,2,4,6,1
14: 3,6,5,2,4,1,7
14: 3,2,6,1,5,4,7
14: 3,7,5,6
14: 2,3,6,5,1,4,7
14: 7,3,1,4
14: 1,7
14: 3,1,7,4,2,6,5
14: 3,6,1,4,7,2,5
14: 4,1
14: 3,6,7,5,4,1,2
14: 3,7,5,6,2,4,1
14: 4,7,3,1
13: 3,2,5,1,6,4,7
13: 3,6,2,4,7,1,5
13: 3,4,7,6,2,1,5
13: 4,7,3,6,1,5,2
13: 3,4,1,7,6,2,5
13: 3,4,6,1,7,2,5
13: 3,7,6,4,5,2,1
13: 5,6,3,2,4,7,1
13: 3,7,6,4,2,5,1
13: 3,4,7,1
13: 3,2,7,4,6,5,1
13: 3,7,5,1,6,2,4
13: 3,5,6,7,2,4,1
13: 3,4,7,5,6,1,2
13: 3,1,6,4,7,2,5
13: 5,3,7,6,4,1,2
13: 3,4,7,6,5,1,2
13: 2,6,5,1,3,4,7
13: 3,2,5,6,4,1,7
13: 5,3,7,4,2,6,1
13: 7,3,5,1,6,4,2
13: 2,6,1,4,5,3,7
13: 7,1,4,6,3,5,2
13: 3,4,1,6,7,5,2
13: 3,2,6,5,4,1,7
13: 3,4,2,7,6,5,1
12: 5,3,6,2,7,4,1
12: 5,2,3,6,4,1,7
12: 5,6,3
12: 3,6,4,7,5,1,2
12: 3,7,6,2,4,1,5
12: 3,7,1,6
12: 1,4
12: 2,3,5,6,4,1,7
12: 3,6,1,7,4,5,2
12: 3,6,2
12: 3,1,4,7,2,6,5
12: 3,2,4,7,6,1,5
12: 3,6,4
12: 5,6,3,2,1,4,7
12: 7,1,4,3,5,6,2
12: 2,5,6,1,4,7,3
12: 5,3,6,2,1,4,7
12: 7,3,5,6,1,4,2
12: 3,1,6,5,2,4,7
12: 3,7,6,4
12: 3,5,6,4,7,1,2
11: 3,2,6,1,4,5,7
11: 3,6,5,1,4,7,2
11: 5,7,4,2,3,6,1
11: 3,4,7,5,1,6,2
11: 3,1,7,6,4,5,2
11: 1,3
11: 2,4,6,1,5,3,7
11: 3,7,2
11: 3,7,5,6,1,2,4
11: 3,6,1
11: 4,3,7
11: 5,6,2,3,1,4,7
11: 5,6,2,1,4,3,7
11: 5,6,2,1,3,4,7
11: 3,4,1,7,6,5,2
11: 3,5,6,7,1,2,4
11: 3,4,7,1,2,6,5
11: 1,2
11: 2,4
11: 3,5,6,1,4,2,7
11: 3,1,7,6,4,2,5
11: 3,1,6,7,4,2,5
11: 7,3,5,6,4,1,2
11: 1,6
11: 5,2,1,6,3,4,7
11: 3,7,5,6,4,2,1
11: 3,5,2,4,7,6,1
11: 5,2,6,4,1,7,3
11: 5,3,2
11: 3,5,4,7,2,6,1
11: 5,2,1,6,4,3,7
10: 2,6,5,3,4,1,7
10: 3,4,1,6,5,7,2
10: 3,5,1
10: 3,5,6,2,1,7,4
10: 5,6,2
10: 5,2,1,6,4,7,3
10: 3,7,6,5,2,4,1
10: 2,6,5,3,1,4,7
10: 3,5,6,4,2,7,1
10: 3,2,5,6,4,7,1
10: 3,2,6,4,5,1,7
10: 3,6,1,4,2,7,5
10: 3,2,4,1,6,5,7
10: 6,1
10: 7,6,1,4,3,5,2
10: 3,4,1,6,2,7,5
10: 3,6,1,5,4,7,2
10: 3,4,7,2,1,6,5
10: 3,6,5,2,4,7,1
10: 3,7,1,6,5,2,4
10: 3,4,6
10: 4,7,1,3,6,5,2
10: 7,3,5,4,1,6,2
10: 3,7,5,4,1,2,6
10: 2,5,1,4,6,3,7
10: 3,2,1,6,4,5,7
10: 6,5
10: 3,7,4,5,2,6,1
10: 3,5,7,6,1,2,4
10: 3,7,2,6,5,1,4
10: 7,4,3,5,1,6,2
10: 3,1,4,6,7,5,2
10: 3,7,5,1,4,2,6
10: 3,7,6,1,2,4,5
10: 3,2,6,5,7,4,1
9: 3,5,7,6,4,2,1
9: 3,4,6,1,7,5,2
9: 3,7,2,4,1,6,5
9: 5,3,6,2,4,1,7
9: 5,6,3,2,7,4,1
9: 3,6,7,4,2,1,5
9: 4,7,2,3,6,5,1
9: 2,6,1,4,3,5,7
9: 3,4,2
9: 3,6,5,2,1,4,7
9: 3,5,6,7,2,1,4
9: 5,1,6,3,2,4,7
9: 5,3,7,2,4,6,1
9: 5,6,1,3,2,4,7
9: 1,5,6,3,2,4,7
9: 5,6,1,2,4,7,3
9: 7,4,3,5,6,1,2
9: 7,3,1,4,2,6,5
9: 2,3,5,6,1,7,4
9: 5,6,3,7,4,1,2
9: 7,4,6,1,3,5,2
9: 7,3,5,4,6,1,2
9: 7,1,3,6,4,5,2
9: 3,5,7,4,2,1,6
9: 2,1,5,6,4,3,7
9: 3,7,5,4,2,6,1
9: 3,5,2,6,7,4,1
9: 3,5,7,6
9: 3,7,1,2,4,6,5
9: 3,7,6,1,5,2,4
9: 3,4,2,6,1,5,7
9: 3,7,1,6,2,4,5
9: 2,5,1,6,4,3,7
9: 3,7,5,4
9: 4,6
9: 3,4,2,6,5,1,7
9: 3,4,2,6,1,7,5
9: 2,3,5
8: 3,2,5,6,7,4,1
8: 3,6,1,2,4,7,5
8: 5,6,3,1,7,4,2
8: 7,6,3,1,4,5,2
8: 2,6,1,4,5,7,3
8: 3,1,4,7
8: 3,6,5,1,4,2,7
8: 3,2,1,6,4,7,5
8: 3,1,7,4
8: 3,7,2,6,4,1,5
8: 3,5,4,7,6,1,2
8: 3,2,6,5,4,7,1
8: 3,5,2,7,4,6,1
8: 3,5,2,1,6,4,7
8: 4,2
8: 5,1
8: 5,6,3,1,2,4,7
8: 3,5,6,1,2,7,4
8: 3,1,6,4,7,5,2
8: 3,4,2,7,6,1,5
8: 3,5,7,2,6,4,1
8: 3,7,4,5,1,2,6
8: 3,2,4,6,5,1,7
8: 3,7,6,5,2,1,4
8: 3,7,6,5
8: 3,6,5,4,7,1,2
8: 3,6,7,1,5,4,2
8: 3,7,4,2,1,5,6
8: 3,7,2,6,1,4,5
8: 7,3,4,6,5,2,1
8: 3,7,6,5,4,2,1
8: 5,2,4,6,1,3,7
8: 2,6,1,5,3,4,7
8: 3,5,4
8: 3,5,4,1,6,2,7
8: 4,7,1
8: 5,6,2,4,1,7,3
8: 5,3,7,1,6,4,2
8: 5,2,6,3,1,7,4
8: 5,3,6,1,2,7,4
8: 3,1,7,4,5,6,2
8: 5,2,6,1,3,7,4
8: 7,3,6,4,2,1,5
8: 3,2,7
8: 3,4,5
8: 3,7,1,4,6
8: 3,6,5,4,7,2,1
8: 5,3,2,4,7,6,1
8: 3,4,6,5,1,7,2
8: 3,4,2,6,7,1,5
8: 7,4,6,3,1,5,2
8: 2,6,4,1,5,3,7
8: 3,5,7,2,6,1,4
8: 3,6,4,7,1,2,5
8: 3,5,1,6,4,2,7
8: 3,5,7,6,2,4,1
8: 3,7,2,1,4,6,5
8: 2,3,5,1,6,4,7
8: 3,2,4
8: 3,6,4,7,1,5,2
7: 3,5,1,7,4,2,6
7: 4,5
7: 2,6,1,5,4,3,7
7: 2,7
7: 2,3,4,6,5,1,7
7: 3,5,4,2,6,1,7
7: 3,2,4,6,5,7,1
7: 3,4,6,1,2,7,5
7: 3,2,1,6,5,4,7
7: 3,6,1,5,7,4,2
7: 3,1,2
7: 5,3,7,4,6,1,2
7: 3,7,4,1,6
7: 3,2,1,4,7,6,5
7: 3,6,5,7,4,2,1
7: 3,5,6,2
7: 3,5,6,2,7,1,4
7: 3,6,2,5,1,7,4
7: 4,7,3,1,5,6,2
7: 5,3,6,7,4,2,1
7: 5,2,6,4,3,7,1
7: 7,5,3,6,1,4,2
7: 7,3,4,6
7: 2,5,1,6,3,4,7
7: 3,5,6,4,1,7,2
7: 5,6,3,7,1,4,2
7: 3,6,2,5,1,4,7
7: 3,6,7,5,2,4,1
7: 5,2,3,6,1,7,4
7: 5,6,2,3,4,7,1
7: 7,4,3,6,1,2,5
7: 7,3,4,1,6
7: 3,2,1
7: 7,4,3,6,2,5,1
7: 3,2,7,6,5,1,4
7: 5,3,2,6,4,1,7
7: 6,7
7: 6,3,7
7: 7,4,3,2,6,5,1
7: 5,3,7,1,4,6,2
7: 3,5,2,6,1,7,4
7: 3,6,7,2,4,1,5
7: 5,3,6,2,1,7,4
7: 7,3,5,6,1,2,4
7: 7,3,4,1,2,6,5
7: 2,5,3,1,6,4,7
7: 3,7,4,2,5,1,6
7: 5,6,3,2,1,7,4
7: 5,3,6,7,1,4,2
7: 7,3,1,5,6,4,2
7: 3,6,2,5,4,1,7
7: 7,3,5,1,4,6,2
7: 4,7,3,6,5,1,2
7: 5,2,3,7,4,6,1
7: 7,3,5,4
6: 2,1,4,6,5,3,7
6: 3,2,5,4,6,1,7
6: 3,4,6,2,7,1,5
6: 3,6,5,1,2,7,4
6: 3,4,1,2,6,7,5
6: 5,2,6,4,3,1,7
6: 2,6,1,7,4,3,5
6: 2,5,6,3,4,7,1
6: 2,5,6,4,3,1,7
6: 2,5,6,1,3,7,4
6: 3,6,4,1,5,2,7
6: 3,2,1,4,6,7,5
6: 3,6,4,7,2,1,5
6: 3,4,5,7,2,6,1
6: 3,2,6,4,7,5,1
6: 3,7,5,6,2,1,4
6: 3,4,5,6,2,7,1
6: 3,5,6,7
6: 3,2,7,6,4,1,5
6: 3,6,7,2,1,4,5
6: 3,7,2,5,1,6,4
6: 3,2,4,6,7,5,1
6: 3,1,2,4,6,7,5
6: 3,6,5,2,1,7,4
6: 3,4,7,6,5,2,1
6: 3,7,6,1
6: 4,3,7,6,5,1,2
6: 6,2
6: 7,3,4,6,2,1,5
6: 7,4,3,2,6,1,5
6: 2,5,4,6,1,3,7
6: 3,6,4,1,2,7,5
6: 3,6,2,7,4,5,1
6: 3,7,4,1,5,2,6
6: 3,4,1,6,5,2,7
6: 3,4,2,6,7,5,1
6: 3,7,5,4,2,1,6
6: 5,1,6,2,3,4,7
6: 5,6,2,1,4,7,3
6: 7,4,2,3,6,5
6: 7,3,1,6,5,2,4
6: 7,4,3,1,6
6: 7,1,3,4,6,2,5
6: 7,6,3,4,5,1,2
6: 7,1,3,4,5,6,2
6: 4,3,5
6: 5,2,6,1,7,4,3
6: 7,3,1,5,4,6,2
6: 2,5,3,4,6,1,7
6: 2,5,6,4,1,7,3
6: 2,6,1
6: 3,2,6,4,5,7,1
6: 3,5,2,4,6,1,7
6: 3,7,1,5,6,2,4
6: 3,5,1,7,6,4,2
6: 5,2,4,1,6,3,7
6: 7,3,4,2,1,6,5
6: 3,1,4,6,7,2,5
6: 5,6,2,4,7,1,3
6: 7,6,4,3,1,5,2
6: 3,7,5,2,4,6,1
6: 7,3,6,5
6: 3,6,1,4,7,5,2
6: 2,3,6,4,5,1,7
6: 3,1,6,7,4,5,2
6: 3,1,7,6,5,4,2
6: 7,3,6,5,1,2,4
6: 7,4,1,5,6,3,2
6: 6,4
6: 5,3,7,6,1,4,2
6: 3,7,6,2,4,5,1
6: 4,7,1,3,6,2,5
6: 3,5,6,4,7,2,1
6: 3,2,6,4,1,7,5
6: 5,7,3,1,6,4,2
5: 5,2,7,4,3,6,1
5: 5,2,1,4,6,3,7
5: 7,4,6,1,2,3,5
5: 2,5,3,6,4,7,1
5: 3,4,6,7,2,5,1
5: 3,1,6,4,2,7,5
5: 3,2,1,7,6,4,5
5: 3,6,7,5,4,2,1
5: 3,6,1,4,5,7,2
5: 5,1,6,2,4,7,3
5: 5,6,2,4,7,3,1
5: 5,2,3,1,6,4,7
5: 5,2,6,3,7,4,1
5: 5,7,6
5: 7,4,2
5: 1,7,3
5: 1,3,7,6,4,5,2
5: 1,3,7,4,6,5,2
5: 1,3,7
5: 2,3,5,6,7,4,1
5: 3,4,1,2,7,6,5
5: 3,2,4,1,7,6,5
5: 4,7,3,6,1,2,5
5: 5,3,4,7,6,1,2
5: 5,3,7,2,1,6,4
5: 5,6,3,2,4,1,7
5: 5,3,2,6,7,4,1
5: 7,3,6,2,4,5,1
5: 7,6,4,1,3,5,2
5: 2,1,4,6,3,5,7
5: 2,1,6,4,5,7,3
5: 3,7,5,1
5: 3,5,1,6,7,4,2
5: 3,4,2,1,7,6,5
5: 3,2,5,1,6,7,4
5: 5,3,6,1,4,2,7
5: 5,3,7,2,6,4,1
5: 5,3,6,1,4,7,2
5: 5,3,6,4,1,7,2
5: 7,3,4,2,6,5,1
5: 7,3,6,4,2,5,1
5: 7,1,6,4,3,5,2
5: 2,3,6
5: 3,6,5,1,7,2,4
5: 3,2,6,4,7,1,5
5: 3,5,2,6,7,1,4
5: 5,6,2,1,3,7,4
5: 5,3,7,2,6,1,4
5: 5,3,2,6
5: 5,7,3,6,4,1,2
5: 5,6,2,4,3,1,7
5: 7,6,3,4,1,5,2
5: 7,1,4,3
5: 3,5,4,2,7,6,1
5: 3,4,6,7,1,2,5
5: 7,4,6
5: 2,6,5,1,4,7,3
5: 2,1,5,6,3,4,7
5: 3,5,1,4,7,6,2
5: 3,5,7,1,4,2,6
5: 3,4,1,7,5,6,2
5: 3,2,6,7,4,1,5
5: 4,7,6,1,3,5,2
5: 7,4,3,1,2,6,5
5: 3,1,6,7
5: 2,1,6,5,4,3,7
5: 2,4,7,3,6,5,1
5: 3,6,2,7,4,1,5
5: 3,6,4,2,1,5,7
5: 3,6,2,4,1,5,7
5: 3,4,6,2,5,1,7
5: 5,7,4,6,1,2,3
5: 5,3,7,6,2,4,1
5: 2,3,1
5: 2,4,1,6,7,3,5
5: 3,6,5,4,1,7,2
5: 3,4,7,5,6,2,1
5: 5,3,6,7,2,1,4
5: 7,6,3,1,5,4,2
5: 3,6,4,1,7,2,5
5: 4,3,7,6,1,5,2
5: 7,6,3
5: 1,3,5
5: 3,2,7,6,4,5,1
5: 5,6,1,4,7,3,2
5: 5,3,2,1,6,4,7
5: 7,4,1,6,5,3,2
5: 2,1,6,4,7,5,3
5: 3,2,6,5
5: 3,5,2,6,4,7,1
5: 3,6,7,5
5: 7,3,5,6,4,2,1
5: 3,4,1,7
5: 5,3,7,4,1,6,2
5: 3,5,7,4,6,2,1
5: 5,3,7,6,1,2,4
5: 3,2,6,4,1,5,7
5: 5,3,2,6,1,7,4
5: 7,1,4,3,6,2,5
5: 5,3,6,7,2,4,1
5: 7,3,6,4
5: 3,4,7,6,2,5,1
5: 3,2,6,1,5,7,4
4: 2,1,3
4: 3,4,6,7,2,1,5
4: 3,4,6,1,5,7,2
4: 3,7,6,1,2,5,4
4: 5,6,2,3,7,1,4
4: 5,3,4,6,2,1,7
4: 5,3,7,1,6,2,4
4: 5,3,2,4,7,1
4: 6,5,3
4: 2,3,6,1,5,4,7
4: 5,2,6,3
4: 5,6,1,4,2,7,3
4: 7,5,3,6,4,1,2
4: 7,1,6,3,4,5,2
4: 2,1,6
4: 2,3,6,5,7,4,1
4: 2,3,6,5,4,7,1
4: 2,3,1,5,6,4,7
4: 2,7,4,3,6,5,1
4: 2,1,6,5,3,7,4
4: 2,6,5,3
4: 3,1,6,2,4,7,5
4: 3,5,1,6,4,7,2
4: 3,4,1,5,7,6,2
4: 3,6,2,5,7,4,1
4: 3,5,7,1,6,2,4
4: 3,1,2,6,4,7,5
4: 3,5,2,7,6,1,4
4: 3,6,1,2,5,7,4
4: 7,3,5,1,6,2,4
4: 1,4,7,3,5,6,2
4: 1,4,7
4: 2,1,6,5,3,4,7
4: 2,5,3,6,1,7,4
4: 3,2,7,4,5,6,1
4: 3,1,2,4,7,6,5
4: 3,4,6,2,1,7,5
4: 3,7,2,1,6,4,5
4: 3,6,2,5,4,7,1
4: 3,6,5,7,2,4,1
4: 3,5,4,6,7,1,2
4: 3,5,1,2,6,4,7
4: 4,3,1,7,2,6,5
4: 5,6,7,4,1,2,3
4: 5,7,3,4,6,1,2
4: 6,7,3
4: 7,1,3,5,4,6,2
4: 7,4,3,6,5,2,1
4: 7,4,1,6,2,3,5
4: 7,6,3,1,4,2,5
4: 7,3,4,5,6,2,1
4: 1,3,4
4: 1,7,4,3
4: 2,5,4,6,1,7,3
4: 3,6,2,4,1,7,5
4: 4,7,1,6,3,5,2
4: 4,5,3
4: 5,6,2,1,7,3,4
4: 7,6,3,5,1,4,2
4: 7,1,4,6,3,2,5
4: 3,1,5,7,6,4,2
4: 5,2,3,6,7,1,4
4: 5,3,2,7,6,1,4
4: 5,6,7,3,4,1,2
4: 6,3,7,1,4,5,2
4: 7,2,4,3,6,1,5
4: 5,3,1,6,7,4,2
4: 3,1,2,7,6,4,5
4: 3,1,5
4: 1,6,4,7,3,2,5
4: 1,7,3,4,6,5,2
4: 2,3,6,1,4,7,5
4: 2,4,5,1,6,3,7
4: 3,2,1,7,4,6,5
4: 3,7,4,6,1
4: 3,6,7,2,4,5,1
4: 3,5,4,6,1,2,7
4: 5,3,2,7,6,4,1
4: 5,7,4,2,6,1,3
4: 5,7,1,4,6,2,3
4: 5,7,4,1,6,2,3
4: 5,7,6,3,4,2,1
4: 5,7,4,1,6,3,2
4: 6,3,5
4: 6,3,7,4,1,5,2
4: 7,4,6,1,5,3,2
4: 7,2,4,3,5,6,1
4: 7,2,4,3,6,5,1
4: 1,4,7,3,6,5,2
4: 5,6,2,4,1,3,7
4: 5,3,4
4: 7,3,5,4,2,6,1
4: 3,1,7,5,6,4,2
4: 3,7,5,2,6,4,1
4: 4,7,5
4: 5,3,4,7,2,6,1
4: 3,7,2,4,5,6,1
4: 3,1,7,6,2,4,5
4: 3,2,5,6
4: 3,2,6,7,4,5,1
4: 3,5,4,6,1,7,2
4: 3,2,7,1,4,6,5
4: 3,5,1,2,4,7,6
4: 7,1,6,4,2,3,5
4: 7,3,4,5,1,2,6
4: 3,6,5,4,2,1,7
4: 3,4,5,7,6,1,2
4: 4,7,2
4: 1,7,4,6,3,5,2
4: 2,5,1,6,4,7,3
4: 3,5,7,1,4,6,2
4: 3,6,4,7,2,5,1
4: 5,2,6,4,7,1,3
4: 5,1,6,3,7,4,2
4: 5,3,6,7
4: 5,3,6,2,4,7,1
4: 7,3,1,5,6,2,4
4: 7,6,4
4: 3,2,4,7,1,5,6
4: 3,1,4,6,2,7,5
4: 5,2,6,4,1,7
4: 5,3,1,6,4,7,2
4: 2,6,1,4,7,5,3
4: 2,3,1,5,6,7,4
4: 2,5,1,6,3,7,4
4: 3,6,7,5,2,1,4
4: 3,4,1,2,6,5,7
4: 5,6,1
4: 7,1,3,4
4: 2,6,5,4,1,3,7
4: 2,6,3,5,1,4,7
4: 3,6,2,4,5,1,7
4: 5,3,4,1,6,2,7
4: 7,1,6,5,3,4,2
4: 3,2,4,5,1,6,7
4: 3,1,4,7,2,5,6
4: 3,4,6,5,7,1,2
4: 3,2,4,6,7,1,5
4: 7,2,4
4: 2,3,6,5,1,7,4
4: 3,5,7,4,1,2,6
4: 5,3,1,6,4,2,7
4: 5,3,2,4,1,6,7
4: 7,3,2
4: 3,1,5,6,7,4,2
4: 5,6,1,4,7,2,3
4: 6,7,3,5,1,4,2
4: 7,4,3,5,6,2,1
4: 3,7,4,6,5
4: 3,4,6,7,1,5,2
4: 3,2,7,5,6,1,4
4: 3,4,5,6,7,1,2
4: 5,4,1,2,6,7,3
4: 7,3,4,2,6,1,5
4: 7,4,1,2,6,3,5
4: 4,1,7
4: 3,6,1,2,4,5,7
4: 5,3,4,1,7,6,2
4: 7,3,2,4,6,1,5
3: 1,6,7,3,4,5,2
3: 3,6,1,7,4,2
3: 3,6,7,1,5,2,4
3: 3,1,4,7,5,6,2
3: 5,6,1,2,7,3,4
3: 3,6,2,1,7,4,5
3: 3,1,2,7,6,5,4
3: 3,4,1,5,6,7,2
3: 3,1,6,7,2,5,4
3: 5,3,6,4,7,1,2
3: 2,3,5,4,6,1,7
3: 2,3,7,4,6,5,1
3: 2,4,3,6,5,1,7
3: 2,3,6,5,4,1,7
3: 2,1,3,4,6,5,7
3: 2,3,4,6,1,7,5
3: 2,5,1,3,6,4,7
3: 3,7,2,5,6,4,1
3: 3,2,4,1,6,7,5
3: 3,7,1,2,6,4,5
3: 3,1,4,2,6,7,5
3: 3,2,7,6,1,4,5
3: 4,1,6
3: 5,7,3,2,4,6,1
3: 5,1,2,6,4,3,7
3: 5,1,7,4,2,3,6
3: 6,5,2,3,4,1,7
3: 7,1,4,3,5,2,6
3: 7,3,5,6,2,4,1
3: 1,3,6,5,7,4,2
3: 1,3,4,7,6,2,5
3: 2,3,4,6,1,5,7
3: 2,3,1,6,5,4,7
3: 2,6,1,4,3,7,5
3: 3,5,4,1
3: 3,6,1,5
3: 3,7,6,4,1
3: 3,4,7,6,5,1
3: 3,1,6,5,4,7,2
3: 3,2,7,5,4,6,1
3: 3,6,1,7,2,5,4
3: 3,7,5,2,6,1,4
3: 3,5,4,6,2,1,7
3: 4,7,3,5,6,2,1
3: 4,3,1
3: 4,7,6,1,5,3,2
3: 5,6,4,1,2,7,3
3: 5,6,1,2,3,4,7
3: 5,4,7,2,1,3,6
3: 5,7,4,3,2,6,1
3: 5,2,4,7,3,6,1
3: 6,3,7,1
3: 6,3,1
3: 6,2,5,3,1,4,7
3: 7,2,6
3: 7,1,4,6,5,3,2
3: 7,4,1,6,5,2,3
3: 7,4,2,1
3: 7,3,6,4,5,2,1
3: 7,1,3,6,5,4,2
3: 3,4,1,5,6,2,7
3: 5,1,2
3: 6,2,1,4,5,3,7
3: 2,6,4,1,7,3,5
3: 3,4,7,6
3: 3,1,6,4,5,2,7
3: 3,1,2,6,4,5,7
3: 3,6,1,4,2,5,7
3: 3,6,2,4,5,7,1
3: 3,7,2,6,1,5,4
3: 4,1,7,3
3: 4,2,3,6,5,1,7
3: 5,6,2,7,4,3,1
3: 5,6,3,1,2,7,4
3: 5,7,6,1,4,2,3
3: 7,4,6,2,3,5,1
3: 7,4,5,3,6,1,2
3: 1,7,3,6,4,5,2
3: 2,4,6,5,1,7,3
3: 2,5,6,3
3: 2,6,3,1,5,4,7
3: 3,4,2,1,6,5,7
3: 3,4,5,6,7,2,1
3: 3,4,5,6,1,2,7
3: 3,1,2,6,5,7,4
3: 3,5,7,2,1,6,4
3: 3,6,2,5,7,1,4
3: 5,4,2,6,1,3,7
3: 5,2,1,3,6,4,7
3: 5,6,7,4,2,1,3
3: 7,3,2,4,6,5,1
3: 7,6,5,1,4,3,2
3: 2,4,6,5,1,3,7
3: 2,1,4,6,7,3,5
3: 2,4,6,1,7,3,5
3: 3,6,5,7,2,1,4
3: 3,6,7,4
3: 3,6,7,4,5,2,1
3: 3,2,5,7,4,6,1
3: 3,7,1,2,6,5,4
3: 3,1,5,6,2,7,4
3: 3,7,4,2,5,6,1
3: 3,7,4,5,1,2
3: 3,5,2,4,7,1
3: 5,6,4,7,3,1,2
3: 5,2,6,1,3,7
3: 5,1,2,4,7,6,3
3: 5,3,7,6,4,2,1
3: 7,4,6,1
3: 7,5,4
3: 7,5,4,6,3,1,2
3: 3,5,2,7
3: 3,2,5,7
3: 3,1,5,6,4,2,7
3: 3,2,4,7
3: 5,7,2,6,4,1,3
3: 5,7,4
3: 5,6,3,7
3: 7,4,5,1,6,3,2
3: 1,7,3,6,4,2,5
3: 2,3,4
3: 3,7,1,4,2,5,6
3: 3,1,4,6,5,7,2
3: 3,2,7,5,6,4,1
3: 3,5,2,7,4,1,6
3: 4,7,3,1,6,2,5
3: 5,2,6,7,1,3,4
3: 6,3,2,4,7,5,1
3: 3,5,6,1,7,2,4
3: 2,1,6,4,3,5,7
3: 2,4,7
3: 3,6,2,1,5,4,7
3: 3,1,2,6,7,4,5
3: 3,6,1,2,5,4,7
3: 3,1,4,2,6,5,7
3: 3,4,2,5,6,7,1
3: 3,5,7,6,2,1,4
3: 3,4,2,1,6,7,5
3: 4,1,7,3,6,5,2
3: 5,3,7,4,6,2,1
3: 5,1,6,3,2,7,4
3: 7,4,2,3
3: 7,3,6,1
3: 7,3,6,1,4
3: 7,3,4,6,2,5,1
3: 7,4,1,3,6,2,5
3: 3,6,4,2,7,5,1
3: 3,2,5,6,7,1,4
3: 5,2,4,6,1,7,3
3: 2,4,1,6,3,5,7
3: 2,3,4,7,6,5,1
3: 3,2,5,4,1,6,7
3: 3,4,2,6,5,7,1
3: 3,7,4,6,5,1
3: 3,2,7,4,1,6,5
3: 3,2,1,5,6,7,4
3: 4,7,1,6,5,3,2
3: 5,6,2,3,4,1,7
3: 5,6,2,1,7,4,3
3: 5,2,4,6,7,1,3
3: 5,7,1,6,4,3,2
3: 6,3,5,2,1,7,4
3: 6,7,4,3
3: 7,1,6,3,5,4,2
3: 7,5,1
3: 1,7,4
3: 3,7,4,6,1,5
3: 3,7,6,2,5,4,1
3: 3,5,7,4,2,1
3: 3,1,6,5,7,4,2
3: 3,6,4,5,1,2,7
3: 5,3,1,4,6,2,7
3: 5,6,3,7,1,2,4
3: 5,6,7,3,1,4,2
3: 5,3,6,4,7,2,1
3: 6,5,2,3,1,4,7
3: 7,5,6,3,1,4,2
3: 7,3,4,5
3: 2,3,4,1,6,5,7
3: 3,5,7,1,2,4,6
3: 4,1,7,6,5,3,2
3: 5,3,6,4,1,2,7
3: 5,6,3,4,7,1,2
3: 5,7,6,3,4,1,2
3: 7,3,6,5,4,2,1
3: 7,5,3,4
3: 3,6,1,4,5,2,7
3: 5,3,2,6,4,7,1
3: 3,1,7,5
3: 3,2,6,7,1,4,5
3: 4,7,6
3: 5,2,6,3,4,7,1
3: 5,1,6,4,2,7,3
3: 5,6,7
3: 3,7,4,1,2,5,6
3: 3,1,6,2,7,4,5
3: 3,5,7,2
3: 3,4,5,1,6,2,7
3: 3,5,6,4,1,2,7
3: 3,6,4,2,5,7,1
3: 3,5,7,1,4,2
3: 4,3,7,1
3: 5,2,1
3: 7,3,1,4,6
3: 1,3,4,6,7,2,5
3: 2,3,6,1,4,5,7
3: 3,7,5,2,4,1,6
3: 3,4,5,6,2,1,7
3: 5,3,2,7,4,6,1
3: 5,6,2,3,7,4,1
3: 5,6,3,2,7,1,4
3: 6,7,3,5
3: 1,6,3,5,2,4,7
3: 3,5,1,6,2,7,4
3: 3,5,2,6
3: 5,3,6,1,7,4,2
3: 7,4,2,3,1,6,5
3: 7,1,6,3,4,2,5
3: 2,3,6,4,1,5,7
3: 2,1,5
3: 3,6,4,5,1,7,2
3: 3,7,2,5,4,6,1
3: 2,3,4,1,6,7,5
3: 2,1,6,4,3,7,5
3: 3,6,7,5,1,2,4
3: 3,5,1,6,7,2,4
3: 3,2,4,7,1,6,5
3: 3,2,1,5,6,4,7
3: 1,7,3,4
3: 2,5,6,3,1,7,4
3: 3,6,5,2,7,4,1
3: 3,6,4,1,2,5,7
3: 3,5,2,7,6,4,1
3: 3,6,2,1,4,7,5
3: 3,4,6,5,7,2,1
3: 3,4,2,7,1,6,5
3: 4,3,7,1,6,5,2
3: 5,7,6,4,3,1,2
3: 2,7,3
3: 2,5,4,1,6,3,7
3: 3,4,5,6,1,7,2
3: 5,3,7,2
3: 5,6,7,4,2,3,1
3: 7,2,4,6,3,5,1
3: 3,4,7,2,5,6,1
3: 3,4,6,7,5,2,1
3: 4,6,1,7,3,5,2
3: 7,4,3,2,1,5,6
3: 2,4,1,6,7,5,3
3: 3,6,1,7,2,4,5
3: 5,3,1,6,2,4,7
3: 3,4,6,1,5,2,7
3: 3,6,5,4,1,2,7
3: 3,2,7,1,6,4,5
3: 3,5,6,4,2,1,7
3: 3,1,5,2,6,4,7
3: 3,5,2,7,1,6,4
3: 3,6,5,7,1,2,4
3: 5,6,3,7,4,2,1
3: 2,3,1,4,7,6,5
3: 3,6,5,7,4
3: 3,2,5,1
3: 3,4,5,1,7,2,6
3: 2,6,1,3,5,4,7
3: 2,5,4,6,3,1,7
3: 3,7,6,2,5,1,4
3: 2,6,5,4,1,7,3
3: 1,4,7,2,3,6,5
3: 7,1,4,2,3,6,5
3: 7,3,4,2,6
2: 1,6,4,2,7,5,3
2: 1,2,6,3,5,4,7
2: 1,3,5,6,2,4,7
2: 1,5,3,6,2,4,7
2: 3,6,1,2,7,4,5
2: 4,3,1,7,6,5,2
2: 5,2,6,7,1,4,3
2: 5,6,3,4,2,1,7
2: 5,6,2,7,4,1,3
2: 5,1,3,6,2,4,7
2: 6,5,2,4,1,7,3
2: 7,2,6,1,4,3,5
2: 2,5,1
2: 3,1,6,7,5,4,2
2: 3,5,7,1,4
2: 3,7,6,2,1,4,5
2: 5,3,7,4
2: 6,5,1,2,3,4,7
2: 7,3,4,1,5,2
2: 7,4,6,3,1,2,5
2: 7,4,6,3,2,1,5
2: 1,2,6,4,7,3,5
2: 1,6,3,2,4,7,5
2: 1,5
2: 1,4,2,6,5,3,7
2: 1,2,5,6,3,4,7
2: 1,4,6,7,2,3,5
2: 2,6,1,4,7,3,5
2: 2,4,3,1,6,7,5
2: 2,7,3,4,5,6,1
2: 2,1,3,7,4,6,5
2: 2,5,3,7,4,6,1
2: 2,5,6,4,3,7,1
2: 3,7,1,2,4,5,6
2: 3,6,5,1,4,7
2: 3,5,4,6
2: 3,1,6,5,2,7,4
2: 5,3,7,4,1,2,6
2: 5,6,3,4,2,7,1
2: 5,2,6,1
2: 5,2,3,6,7,4,1
2: 6,3,4,7,1,5,2
2: 6,2,3,5,4,1,7
2: 6,3,7,4,5,1,2
2: 6,2,5
2: 6,5,1
2: 7,2,6,1,5,3,4
2: 7,2,4,6,1,5,3
2: 7,3,2,6,4,1,5
2: 7,4,1,3,2,6,5
2: 1,7,4,3,6,2,5
2: 1,3,7,4,2,6,5
2: 2,5,3,6,7,1,4
2: 2,3,1,4,6,5,7
2: 3,1,2,7,4,6,5
2: 3,7,5,1,2,4,6
2: 3,6,5,7
2: 3,1,2,6,5,4,7
2: 3,5,7,1
2: 3,1,7,5,6,2,4
2: 3,7,1,4,5,2,6
2: 3,5,1,6,7
2: 3,4,5,1,7,6,2
2: 4,7,2,1,6,3,5
2: 4,1,5,6,3,2,7
2: 5,4,3,6,1,7
2: 5,1,6
2: 5,4,1,6,2,7,3
2: 5,7,2,3,6,4,1
2: 5,2,7,6,4,1,3
2: 5,7,4,6,1,3,2
2: 6,3,7,4,1,2,5
2: 6,3,5,1,4,7,2
2: 6,5,2
2: 6,5,7,1,4,3,2
2: 6,5,1,7,4,2,3
2: 6,5,3,1,7,4,2
2: 7,3,5,1
2: 7,3,5,4,1,6
2: 7,4,1,6,3
2: 7,1,6,4,3,2,5
2: 3,2,4,6,1
2: 7,3,6,4,1
2: 7,1,3,6,4,2,5
2: 7,2,6,4,1,3,5
2: 1,7,4,3,2,6,5
2: 1,2,3,5,6,4,7
2: 2,5,4,6,7,3,1
2: 3,2,5,7,6,1,4
2: 3,4,7,5
2: 3,5,1,4,6,7,2
2: 3,7,4,1,6,5
2: 4,3,2,7,6,5,1
2: 4,2,3,7,6,1,5
2: 5,2,1,6,3,7,4
2: 5,3,2,7,4,1
2: 5,7,6,3,1,4,2
2: 5,6,1,3,2,7,4
2: 5,1,6,3,4,7,2
2: 6,2,7
2: 6,7,4
2: 6,2,1,5,3,4,7
2: 6,3,5,7,2,4,1
2: 6,7,1,4,3,5,2
2: 7,4,2,5,1,3,6
2: 2,4,5,6,1,3,7
2: 2,6,4,3,5,1,7
2: 2,1,3,6,5,4,7
2: 3,6,1,5,2,7,4
2: 3,4,7,1,5,2
2: 3,7,4,1,5,2
2: 3,1,6,7,5,2,4
2: 3,6,7,4,1
2: 4,6,1
2: 4,3,6,7,1,5,2
2: 5,1,2,4,6,7,3
2: 5,7,1,3,6,4,2
2: 5,4,7,2,3,6,1
2: 5,4,6,1,2,3,7
2: 5,6,3,1,4,7,2
2: 6,7,4,1,3,5,2
2: 6,5,3,7,4,2,1
2: 7,3,6,1,5,2,4
2: 7,5,3,4,2,1,6
2: 7,4,1,5,3,6,2
2: 5,4,7,1,6,2,3
2: 5,2,6,7,4,1,3
2: 1,6,5,2,3,4,7
2: 1,6,2,3,5,7,4
2: 2,7,5,3,6,1,4
2: 2,5,3,1,6,7,4
2: 3,5,4,2,1,6,7
2: 3,7,5,1,2,4
2: 3,4,2,6
2: 3,6,1,2,7,5,4
2: 3,7,5,2,4,1
2: 3,5,7,4,1,6
2: 4,3,5,6,2,1,7
2: 4,1,7,3,6,2,5
2: 4,3,1,6,2,7,5
2: 5,2,4,7,6,3,1
2: 5,6,2,3
2: 5,3,7,6,2,1,4
2: 5,3,2,1,7,4,6
2: 6,1,4,7,5,3,2
2: 6,5,2,1,3,7,4
2: 6,7,2,3,5,1,4
2: 6,3,5,7,1,4,2
2: 7,6,5,3,1,4,2
2: 7,4,2,6,3,5,1
2: 1,4,6,5,3,7,2
2: 2,3,6,1,7,4,5
2: 2,6,4,7,5,1,3
2: 3,5,1,2,4,6,7
2: 3,4,5,2,6,1,7
2: 6,3,5,1,2,4,7
2: 7,4,6,3,5,1,2
2: 1,6,2,4,7,5,3
2: 2,3,5,4,7,6,1
2: 3,7,5,2,1,4,6
2: 3,7,6,4,1,2
2: 3,7,6,1,4,5
2: 3,7,6,2,1,5,4
2: 3,4,6,7,5,1,2
2: 3,2,6,5,1
2: 3,7,2,5,1,4,6
2: 3,6,5,2
2: 5,2,4,6,3
2: 5,6,4,2,3,1,7
2: 5,4,2,6,1,7,3
2: 7,2,1,6,4,3,5
2: 7,2,6,1,4,5,3
2: 7,4,1,3,5
2: 7,3,4,1,5
2: 1,3,4,7,6,5,2
2: 7,3,6,2,1,4,5
2: 1,3,2,4,7,6,5
2: 1,4,7,6,3,2,5
2: 2,3,5,4,7,1
2: 2,6,4,1,3,5,7
2: 2,6,3,5
2: 2,7,1,6,5,3,4
2: 3,5,2,4
2: 3,2,1,7,6,5,4
2: 3,2,5,4,7,6,1
2: 3,7,5,4,2
2: 3,5,1,7,4,6,2
2: 4,6,1,2,7,5,3
2: 4,7,3,5,1,6,2
2: 4,1,2,6,7,3,5
2: 5,3,6,4,2,7,1
2: 5,4,2,3,1,7,6
2: 5,6,1,7,4,2,3
2: 6,1,4,7,3,5,2
2: 6,7,3,4,1,2,5
2: 7,4,2,1,5,6,3
2: 7,2,3,4,6,1,5
2: 7,3,1,5,2,4
2: 7,4,6,3,5,2,1
2: 7,4,3,1,5
2: 1,2,6,5,3,4,7
2: 3,5,2,7,4,1
2: 3,2,1,6,5,7,4
2: 3,6,1,5,7,2,4
2: 3,1,4,2,7,6,5
2: 5,2,7,6,3,4,1
2: 7,6,1,3,4,2,5
2: 1,7,4,3,6,5,2
2: 1,2,5,6,7,4,3
2: 2,6,4,3,1,5,7
2: 2,6,5,3,4,7,1
2: 2,5,3,6
2: 2,1,4,6,5,7,3
2: 3,1,2,7,4,5,6
2: 3,4,6,2,7,5,1
2: 3,6,4,5,7,1,2
2: 3,2,7,1,5,6,4
2: 5,1,6,7,4,2,3
2: 3,6,2,7
2: 3,1,6,7,2,4,5
2: 3,6,7,2,5,1,4
2: 3,7,2,1,5,6,4
2: 3,6,1,4
2: 4,3,7,1,2,6,5
2: 5,1,4,6,2,7,3
2: 5,3,2,4,6,1,7
2: 5,6,1,3,4,2,7
2: 5,1,6,2,4,3,7
2: 6,3,5,2,4,1,7
2: 7,1,3,5,6,4,2
2: 7,5,3,4,2,6,1
2: 1,3,7,6,5,4,2
2: 1,3,7,2,6,4,5
2: 2,3,1,6,7,4,5
2: 2,1,6,5,4,7,3
2: 2,1,4
2: 3,7,1,4,6,5
2: 3,1,5,7,4,2,6
2: 3,1,7,2,5,4,6
2: 4,1,7,6,3,5,2
2: 4,7,3,2,1,6,5
2: 5,2,3,4,7,6,1
2: 5,7,2,4,1,3,6
2: 5,6,3,4,1,2,7
2: 5,6,4,1,7,2,3
2: 5,6,2,7,1,4,3
2: 7,4,5,6,2,1,3
2: 1,2,4,7,6,3,5
2: 1,7,3,4,6,2,5
2: 1,2,5,4,6,3,7
2: 2,4,1
2: 2,5,4
2: 3,1,7,2,4,6,5
2: 3,5,2,1,6
2: 3,4,6,5,1,2,7
2: 3,4,7,5,1,2,6
2: 3,2,4,5,1,7,6
2: 3,7,1,5,4,2,6
2: 3,5,1,4,6,2,7
2: 3,5,2,4,6,7,1
2: 4,3,7,2,1,6,5
2: 5,3,2,7
2: 5,3,6,7,4,1
2: 7,5,1,3
2: 7,5,3,4,1,6,2
2: 1,3,2
2: 1,5,6
2: 2,4,1,5,6,3,7
2: 3,1,4,7,6,5
2: 5,4,6,7,2,1,3
2: 5,6,3,7,2,1,4
2: 5,3,4,2,6,1,7
2: 5,1,6,4,7,3,2
2: 5,4,2,1,6,7,3
2: 5,2,4,7,6,1,3
2: 7,4,3,6
2: 7,3,4,1,5,2,6
2: 5,3,1,2,6,4,7
2: 6,3,1,7,4,5,2
2: 1,3,6,4,7,2,5
2: 2,6,5,3,7,1,4
2: 2,5,6,7,4,3,1
2: 3,6,4,2,7,1,5
2: 3,6,2,1,4,5,7
2: 3,6,7,1
2: 3,7,2,5
2: 4,3,6,5,7,2,1
2: 4,3,1,7,5,2,6
2: 5,1,7
2: 5,2,3,4,6,1,7
2: 5,6,1,4,2,3,7
2: 7,3,2,6
2: 7,3,1,2,6,4,5
2: 7,1,6
2: 7,1,6,5,3,2,4
2: 7,6,4,3,2,5,1
2: 2,4,6,1,3,5,7
2: 2,3,1,5,7,4,6
2: 2,1,5,6,4,7,3
2: 3,6,2,7,1,5,4
2: 3,4,6,7
2: 3,6,4,5,7,2,1
2: 3,1,5,2,6,7,4
2: 3,4,7,5,2,1,6
2: 5,4,7
2: 5,4,3
2: 5,3,4,6,1,7,2
2: 7,4,6,3
2: 7,3,1,6
2: 7,1,4,3,2,6,5
2: 7,3,5,6
2: 2,6,5
2: 3,6,7,1,2,4,5
2: 5,2,3,1,4,7,6
2: 3,1,4,7,6
2: 3,2,7,4,1,5,6
2: 4,1,7,3,5,6,2
2: 5,7,4,3,6,1,2
2: 5,6,4,2,1,3,7
2: 5,4,3,1,6,7,2
2: 7,4,5
2: 1,4,7,6,3,5,2
2: 3,1,7,6
2: 4,3,1,2,6,7,5
2: 1,6,7,4,2,3,5
2: 2,4,7,6,1,3,5
2: 2,6,5,1,3,7,4
2: 3,2,6,7,1,5
2: 3,4,1,6,2,5,7
2: 3,5,2,4,7,1,6
2: 3,5,4,7
2: 3,7,5,4,6,2,1
2: 4,1,3
2: 4,3,7,2,6,5,1
2: 4,3,7,2,6,1,5
2: 4,7,1,6,3,2,5
2: 4,3,1,2,7,6,5
2: 5,6,7,1,4,2,3
2: 5,6,2,7,4,1
2: 5,1,4,7,2,6,3
2: 6,7,3,5,4,1,2
2: 6,3,7,1,5,4,2
2: 7,3,6,5,2,4,1
2: 7,3,1,4,2,5,6
2: 2,4,1,6,5,3,7
2: 2,5,7,3,4,6,1
2: 2,3,5,1,4,7
2: 3,4,5,7
2: 3,1,2,5,6,4,7
2: 3,2,4,6
2: 3,5,1,4
2: 3,4,7,2,5,1,6
2: 5,6,4,7,2,1,3
2: 3,4,7,1,5,2,6
2: 4,3,7,5,6,1,2
2: 4,2,6,3,5,7,1
2: 5,2,4,7
2: 5,3,1,6,2,7,4
2: 5,7,3,6,1,4,2
2: 7,4,5,3,1,6,2
2: 7,6,1,3,4,5,2
2: 7,5,3,1,6,4,2
2: 7,2,6,3,5,1,4
2: 2,3,5,7,4,6,1
2: 2,6,1,7,4,5,3
2: 3,6,7,2,5,4,1
2: 3,6,2,1,7,5,4
2: 3,2,5,4,6,7,1
2: 4,7,1,6,2
2: 5,7,4,3,6,2,1
2: 6,3,5,7
2: 6,7,3,4,1,5,2
2: 6,3,5,7,1,2,4
2: 7,4,2,3,6
2: 7,6,1
2: 3,1,6,2,5,7,4
2: 3,7,4,2,6
2: 3,7,6,2
2: 4,3,2,7,6,1,5
2: 7,1,4,6
2: 1,6,5,3
2: 3,1,7,5,4,6,2
2: 3,5,7,4
2: 3,4,5,1,2,6,7
2: 3,5,4,7,1,6,2
2: 3,6,5,4,2,7,1
2: 4,5,7
2: 5,6,7,1,4,3,2
2: 5,6,1,2,4,3,7
2: 5,1,6,4,7,2,3
2: 5,1,4
2: 7,3,1,4,2
2: 7,1,5,6,3,2,4
2: 7,4,6,1,3,2,5
2: 1,2,6,4,5,7,3
2: 2,3,5,6,4,7,1
2: 3,1,7,6,4
2: 3,5,4,1,2,7
2: 6,3,1,4,7,2,5
2: 7,4,2,3,6,1,5
2: 7,6,1,4,3,2,5
2: 7,3,1,4,5,2,6
2: 4,2,7,1,6,5,3
2: 4,7,2,3,6,1,5
2: 5,2,3,6,4,7,1
2: 1,2,6,4
2: 2,5,3,4,1,6,7
2: 2,1,4,5,6,3,7
2: 3,1,7,2,6,5,4
2: 3,4,2,5,6,1,7
2: 3,2,6,1,7,4,5
2: 3,4,1,5,2,6,7
2: 4,6,1,7,5,3,2
2: 4,2,7,3,6,5,1
2: 4,2,7,6,3,5,1
2: 5,2,1,4,6,7,3
2: 5,4,1
2: 5,1,6,4,2,3,7
2: 5,7,3,6
2: 6,3,1,5,2,4,7
2: 6,3,2,1,5,4,7
2: 6,1,2,4,5,3,7
2: 7,3,4,5,6,2
2: 1,4,6,2,7,5,3
2: 1,3,5,6,7,4,2
2: 3,5,2,1,4,7
2: 3,2,4,1,7,5,6
2: 3,2,1,4,7,5,6
2: 3,1,5,6,7,2,4
2: 3,6,5,1,4
2: 3,5,6,1
2: 4,7,1,3
2: 4,1,7,6,3,2,5
2: 4,7,2,3,5,6,1
2: 4,3,1,7,6,2,5
2: 4,7,6,3,1,2,5
2: 5,3,7,4,2,1,6
2: 5,2,4
2: 5,1,6,3,4,2,7
2: 1,6,3,7,4
2: 4,7,5,6,1,3,2
2: 7,1,5,3,4,2,6
2: 2,4,7,6,1,5,3
2: 5,3,7,2,1,4,6
2: 5,2,3,1,4,6,7
2: 6,2,3
2: 7,1,2,4,6,5,3
2: 6,3,7,4
2: 7,3,6,4,5
2: 7,4,3,2,1,6,5
2: 1,7,2,4,3,6,5
2: 1,6,3,2,7,4,5
2: 2,3,5,7,6,1,4
2: 3,1,7,6,5,2,4
2: 3,4,7,1,6
2: 5,3,1,4,7,2,6
2: 6,5,3,2,4,7,1
2: 7,2,1
2: 7,3,4,2
2: 7,5,4,3
2: 7,3,1,4,6,5
2: 7,1,4,5,6,3,2
2: 3,7,1,5,4,2
2: 5,6,3,2,4,7
2: 4,3,1,6,5,7,2
2: 7,4,6,1,2,5,3
1: 1,3,2,5,4,6,7
1: 1,6,3,5,7,2,4
1: 1,7,4,6,5,3,2
1: 1,6,4,5,7,3,2
1: 2,7,6,5,1,3
1: 3,2,5,1,4,6,7
1: 3,6,5,1
1: 3,5,6,4,1,7
1: 4,2,1,6,5,3,7
1: 4,3,1,6,7,5,2
1: 5,2,4,1,6
1: 5,1,4,2,6,7,3
1: 5,7,2,6,4,3,1
1: 6,2,4,1,7,5,3
1: 6,5,4,3,2,7,1
1: 7,2,6,1,3,5,4
1: 7,3,2,4,1,6,5
1: 7,5,6,1,4,2,3
1: 1,3,7,2,5,4,6
1: 1,5,6,4,2,7,3
1: 3,7,2,1
1: 3,2,6,1,5,7
1: 3,1,2,5,4,7,6
1: 4,1,6,3,5,7,2
1: 5,2,6,4,3
1: 6,7,4,3,1,2
1: 6,2,3,7,1,4,5
1: 6,1,4,2,7,5,3
1: 7,5,1,6,2,4,3
1: 7,4,5,6,3,2,1
1: 7,4,2,3,5,1,6
1: 1,6,3,2
1: 1,2,4,3,7,6,5
1: 1,3,2,4,7
1: 2,1,6,3,5,4,7
1: 2,4,3
1: 2,7,4,6,1,3,5
1: 2,3,1,6
1: 2,3,7,4,5,6,1
1: 2,6,7,3,5,1,4
1: 2,4,6,5,3,7,1
1: 2,6,4,5,3,7,1
1: 2,7,3,4,5,1,6
1: 2,4,7,6,5,1,3
1: 3,2,7,6,5,1
1: 3,4,5,7,1,2,6
1: 3,1,6,5,4,2,7
1: 3,1,6,5,4
1: 3,6,4,5,2,1,7
1: 3,4,7,5,1,2
1: 3,5,4,7,6,2,1
1: 3,4,2,7,5,6,1
1: 3,1,7,4,5,2,6
1: 3,5,7,2,4,1,6
1: 3,2,1,6,7,4,5
1: 4,6,2,5,1,7,3
1: 4,6,5,3,1,2,7
1: 4,1,5,6,2,3,7
1: 4,2,6,1,7,3,5
1: 4,7,6,3,2,5,1
1: 4,7,6,1,3,2,5
1: 4,7,6,2,1,3,5
1: 4,3,2,7
1: 5,6,2,3,1
1: 5,1,3,6,4,2,7
1: 6,1,7,4,2,3,5
1: 6,3,2,4,7,1
1: 6,4,2,1,7,3,5
1: 6,7,1,2,4,3
1: 6,2,7,4,3,1,5
1: 6,3,1,7
1: 6,2,7,4,3,5,1
1: 6,5,3,7,2,4,1
1: 6,5,2,1,3,7
1: 6,1,5,7,4
1: 6,5,3,1,2,4,7
1: 7,2,5,3,4,1
1: 7,3,5,4,6,2,1
1: 1,6,3,5,4,2,7
1: 1,7,3,4,2,6,5
1: 1,3,6,2,7,4,5
1: 1,3,5,2,6,4,7
1: 1,7,4,6,3
1: 1,5,7,3,4,2,6
1: 1,5,3
1: 1,5,4,7,6,3,2
1: 2,5,1,7,4,6,3
1: 2,6,3,4,7,5,1
1: 2,6,4,1,3,7,5
1: 2,7,4,1,3,6,5
1: 2,7,1,4,3,6,5
1: 2,3,5,1,4,6,7
1: 2,4,7,3,1,5,6
1: 2,4,7,3
1: 3,1,7,2
1: 3,4,2,1,5,6,7
1: 3,7,5,6,4
1: 3,7,6,4,2,5
1: 3,4,2,7
1: 3,1,7,5,4
1: 3,5,4,1,7,2,6
1: 3,7,1,5,6,4
1: 4,3,5,1,6,7,2
1: 4,7,1,2,6,3
1: 4,7,2,3,5,1,6
1: 4,3,1,5,6,7,2
1: 4,3,5,6,1,2,7
1: 4,2,3,6,1,5,7
1: 4,7,1,2,3,6,5
1: 4,2,6,5,7,1,3
1: 4,5,6,2,3,7,1
1: 5,7,6,4,1,2,3
1: 5,1,3,2,6,4,7
1: 5,4,1,3,7,2,6
1: 5,2,6,4,1
1: 5,1,7,3,6,2,4
1: 5,6,3,4,7,1
1: 6,2,3,7,4,5,1
1: 6,2,4,3,7,5,1
1: 6,4,7,3,1,5
1: 6,1,2,3,5,7,4
1: 6,3,5,4,2,7,1
1: 6,1,2,5,3,4,7
1: 6,1,5,2,4,3,7
1: 7,3,1,4,5
1: 7,1,4,5
1: 7,5,4,3,6,2,1
1: 7,4,1,6,2,5,3
1: 7,4,1,6,5,3
1: 7,5,4,3,1,6,2
1: 7,3,5,1,4,2
1: 7,3,1,5
1: 7,1,6,3
1: 1,6,7,5,3,2,4
1: 3,4,1,6,7,5
1: 3,7,6,5,1
1: 3,7,5,6,1
1: 4,6,3,7,1,2,5
1: 6,5,3,7,1,4,2
1: 7,5,3,2,1,6,4
1: 1,3,7,5,6,4,2
1: 1,2,7,3,6,5,4
1: 1,3,6,5,7,2,4
1: 1,6,3,4,5,2,7
1: 1,7,4,5,3,6,2
1: 1,5,7,6,3,4,2
1: 1,7,4,6,5,2,3
1: 1,6,4
1: 2,5,6,1,7,4,3
1: 2,5,6,4,3,7
1: 2,4,6
1: 2,6,4,5,1,7,3
1: 3,2,5,1,7,6
1: 4,2,3,7,6,5,1
1: 4,5,1,6,2,7,3
1: 5,6,1,7,4,3,2
1: 5,3,7,1,2,6,4
1: 5,3,1,7,4,2,6
1: 5,7,6,2,4,1
1: 5,6,7,1,3,2,4
1: 5,3,7,4,2,1
1: 6,5,4,1,2,3,7
1: 6,2,5,3,7,1,4
1: 6,7,1,4,3,2,5
1: 6,7,1,3,2,4,5
1: 7,3,5,1,6
1: 7,3,1,2
1: 7,4,6,5,2,3,1
1: 7,6,2,5,1,3,4
1: 1,6,2,4,7
1: 1,7,3,5,6,4,2
1: 1,6,5,2,7,3,4
1: 1,5,6,3,4,2,7
1: 1,7,5,3,6
1: 2,5,7,6,4,1,3
1: 2,7,4,3,1,6,5
1: 2,3,7,5,6,4,1
1: 2,1,4,7,3,6,5
1: 3,7,4,5,6,1
1: 3,5,4,7,2,1,6
1: 3,5,2,4,7,6
1: 3,6,5,1,7,4
1: 4,3,2
1: 4,3,7,1,5,6,2
1: 5,1,6,7,4,3,2
1: 5,3,7,2,1,4
1: 5,7,6,4,2,1,3
1: 5,6,4,2,1,7,3
1: 5,2,4,6
1: 5,7,6,1
1: 5,6,3,1,4,2,7
1: 5,6,1,4,3,2,7
1: 6,1,7,3,4,2,5
1: 6,3,5,2,1,4,7
1: 6,5,7,2,3,1,4
1: 6,1,2,4,7,5,3
1: 7,4,2,3,5,6,1
1: 7,6,3,5,4,2,1
1: 7,6,1,5,4,3,2
1: 3,6,1,7,5,2,4
1: 4,7,6,2,3,5,1
1: 5,4,7,1,2,3
1: 6,5,3,4,1,2,7
1: 7,2,3,6,4,5,1
1: 7,2,3,6,5,4,1
1: 7,5,4,6,2,1,3
1: 3,4,6,7,2,5
1: 4,5,1,2,7,6,3
1: 6,4,2,3,7,1,5
1: 1,6,2,4,5,7,3
1: 1,6,7,4,3,5,2
1: 2,6,1,3,4,5,7
1: 2,3,4,7,1
1: 2,4,3,6,5,7,1
1: 2,3,5,4,1,6,7
1: 2,7,5
1: 2,7,6
1: 2,6,3,5,1,7,4
1: 2,1,4,6,7,5,3
1: 2,5,6,7,1,4,3
1: 2,5,3,6,1
1: 3,1,5,4,2
1: 3,4,1,5,2,6
1: 3,2,4,6,5,1
1: 3,6,2,7,1,4,5
1: 3,1,5,7,2,6,4
1: 3,4,2,5
1: 3,5,7,2,1,4
1: 3,5,1,7,2,4,6
1: 3,1,2,5
1: 3,7,4,5,2
1: 3,4,7,2,6,5
1: 3,1,5,6,4,7,2
1: 3,2,7,4,6,5
1: 3,5,4,7,1,2
1: 4,7,1,6,2,3,5
1: 4,7,6,3,5,2,1
1: 4,1,6,7,3,5,2
1: 4,2,3,7,1,6,5
1: 4,7,6,5,3,2,1
1: 4,1,7,5,6
1: 5,4,6
1: 5,2,4,6,3,7
1: 5,1,4,6,7,2,3
1: 5,4,7,6,1,3
1: 5,1,6,7,2,3,4
1: 5,6,2,7
1: 5,3,1,4,2,7,6
1: 5,7,4,3,1,2,6
1: 6,7,3,4,2,5,1
1: 6,4,1,7,3,5,2
1: 7,2,3
1: 7,4,1,3,5,2,6
1: 7,3,5,2,4,6,1
1: 7,3,6,2,5,1,4
1: 7,3,1,5,2,4,6
1: 7,3,4,2,5,6,1
1: 7,3,5,2
1: 7,4,3,1,5,2,6
1: 7,1,6,2,4,5,3
1: 7,2,4,5,3,6,1
1: 7,5,3,6,1,2,4
1: 7,4,1,2,5,6,3
1: 7,2,1,4,6,5,3
1: 7,4,5,2,3,6,1
1: 7,4,1,2,3,6,5
1: 1,3,7,6,5,2,4
1: 1,3,5,2
1: 3,2,1,4,6,5,7
1: 3,5,4,7,1
1: 3,5,4,7,6,1
1: 3,7,5,2,1,6,4
1: 3,5,4,1,6,7,2
1: 4,5,7,3,2,1,6
1: 5,6,7,1,3,4,2
1: 5,6,4,7,1,2,3
1: 5,3,6,4
1: 5,2,7,4,6,1,3
1: 5,3,7,6
1: 6,4,7,1,5,3,2
1: 7,1,6,4,3
1: 7,3,2,5,4,6,1
1: 7,4,1,5,6,2,3
1: 1,4,6,3,2,7,5
1: 1,6,3,2,4,5,7
1: 1,6,4,3,7,5,2
1: 2,4,5,3
1: 2,4,5,7,3,1,6
1: 2,7,4,1,6,5,3
1: 2,6,5,7
1: 2,3,5,1,4,7,6
1: 2,3,5,7,6,4,1
1: 2,3,6,4,7,5,1
1: 2,6,3,4,5,1,7
1: 2,5,6,4,7,3,1
1: 3,5,2,4,1,6,7
1: 3,7,6,2,5,4
1: 3,2,7,6,5
1: 3,7,2,6,5
1: 4,7,1,2
1: 4,3,7,6,5,2,1
1: 5,6,7,3,1,2,4
1: 5,2,3,4,1,6,7
1: 5,6,4,7,1
1: 5,3,4,7,1,6,2
1: 5,7,3,4,2,1,6
1: 6,1,4,2,7,3
1: 6,3,2,7,5,1,4
1: 6,3,1,7,5,2,4
1: 6,3,1,4,7
1: 6,7,3,1,4,2,5
1: 6,5,3,2,7,4,1
1: 6,5,3,7,4,1,2
1: 6,2,4,1,5,7,3
1: 7,6,4,2,3,5,1
1: 7,1,3,5,6,2,4
1: 7,2,4,3,1,6,5
1: 7,4,3,5,1
1: 1,6,4,7,5,3,2
1: 1,7,6,4,3,5,2
1: 1,7,4,2
1: 2,1,6,4,7,3
1: 2,3,6,4,5,7,1
1: 2,1,5,7,3,6,4
1: 2,7,6,5,4,1,3
1: 3,5,4,7,1,2,6
1: 3,2,1,5,4,7,6
1: 3,7,4,2,1,6
1: 3,4,7,6,5,2
1: 3,1,6,2,5,4,7
1: 3,2,6,7,5,1,4
1: 3,4,2,5,6,7
1: 4,6,1,7,2,5,3
1: 4,1,3,7,6,5,2
1: 4,7,2,6,1,3,5
1: 4,7,1,3,6,5
1: 4,3,7,5,2,1,6
1: 5,3,2,7,6
1: 5,4,6,3,1,7,2
1: 5,1,6,4,3,2,7
1: 5,4,1,6,7,2,3
1: 6,3,5,1,7,2,4
1: 6,3,5,2,7,1,4
1: 6,5,7,2,4,1,3
1: 6,1,2,4
1: 7,5,1,2,6,4,3
1: 7,1,5,3,2,4,6
1: 7,4,2,1,6,5,3
1: 7,2,4,3,5,1,6
1: 7,4,6,2,1,3,5
1: 7,2,4,1,6,3,5
1: 7,6,1,2,4,3,5
1: 7,6,1,4
1: 7,3,5,2,6,1,4
1: 1,7,4,2,3,6,5
1: 2,3,4,7,6,1,5
1: 2,3,4,1,7,6,5
1: 2,7,6,1,3,5,4
1: 2,6,7,4,3
1: 3,1,4,2,5,7,6
1: 3,4,6,1,7,5
1: 3,1,4,5,2,7,6
1: 3,5,7,2,1,4,6
1: 4,3,1,7,5,6,2
1: 5,6,1,3,7,2,4
1: 6,1,7,4,3,5,2
1: 6,1,5,7,3,2,4
1: 6,3,5,7,1,4
1: 6,3,7,4,2,5,1
1: 6,3,5,2,7,4,1
1: 6,2,5,3,4,1,7
1: 7,3,6,1,2,4
1: 7,2,3,6,1,4,5
1: 7,3,6,2,4,5
1: 7,4,1,5,3
1: 1,2,6
1: 1,3,5,7,4,2,6
1: 1,4,6,7,2,5,3
1: 1,2,5,6
1: 1,5,6,7,4,2,3
1: 1,2,6,4,7,5
1: 2,5,1,3,4,6,7
1: 2,3,5,7,1,4
1: 2,7,6,1,4,3,5
1: 2,7,3,5,6,4,1
1: 2,3,6,7,4,1,5
1: 2,6,1,5,3,7,4
1: 2,4,5,1,6,7,3
1: 3,5,7,4,2
1: 3,5,2,7,1,4,6
1: 3,2,7,4,6
1: 3,4,1,2,5,6,7
1: 3,5,1,7,6,2,4
1: 3,5,4,6,7,2,1
1: 4,2,7,3,5,6,1
1: 4,3,1,5,7,6,2
1: 4,7,3,2,6,5,1
1: 4,7,1,6,2,5,3
1: 4,5,2,7,3
1: 5,7,6,4,1,3,2
1: 5,2,1,3,4,7,6
1: 5,7,1,6,2,4,3
1: 5,7,6,3,1,2,4
1: 5,2,4,1,6,7,3
1: 5,4,2,6
1: 6,7,3,1,4
1: 6,5,3,4,7,1,2
1: 6,1,3,7,4,5,2
1: 6,1,7,2,3,5,4
1: 6,1,7,3,4,5,2
1: 6,7,1,4,2,3,5
1: 7,3,6,4,5,2
1: 7,6,3,4
1: 7,4,6,3,5
1: 7,1,2,4,6
1: 7,1,4,5,3,6,2
1: 7,6,4,1,5
1: 7,5,6,4,2,3,1
1: 7,2,6,4,1,5,3
1: 1,2,4,6
1: 1,4,7,6,5,2,3
1: 1,6,2,5,3,4,7
1: 1,4,7,5,2,6,3
1: 1,4,7,6,5,3,2
1: 1,5,2,7,4,6,3
1: 1,4,7,6,2,3,5
1: 2,1,3,4,7,6
1: 2,1,3,5,6,4,7
1: 2,6,1,5,4,7,3
1: 2,5,7
1: 3,2,6,5,1,7
1: 3,2,4,6,7,5
1: 3,7,6,1,5
1: 3,4,7,5,6,1
1: 3,2,1,6
1: 3,5,6,2,7,4
1: 4,3,6,1,5,2,7
1: 4,2,3,6,1,7,5
1: 4,3,2,5,6,1,7
1: 5,2,1,3,7,4,6
1: 5,7,3,1,4,2,6
1: 5,6,1,2,7,4,3
1: 5,4,7,2,6,1,3
1: 5,3,7,1,6
1: 6,5,4,1,3,7,2
1: 6,4,7,3,5,2,1
1: 6,7,3,1,4,5,2
1: 7,1,3,4,5
1: 7,5,6,2,4,1,3
1: 7,5,3,2,4,6,1
1: 7,6,5,3,4,2,1
1: 7,2,3,6,5,1,4
1: 1,4,2,6,7,3,5
1: 1,6,4,2,3,7,5
1: 1,2,6,4,3,7,5
1: 1,5,3,2,6,4,7
1: 1,7,6,5
1: 1,6,4,5,2,3,7
1: 1,4,5,3,7,2,6
1: 1,5,4,3,7,2,6
1: 2,4,3,6,7,1,5
1: 2,1,5,4,6,3,7
1: 3,5,4,2,7,1
1: 3,7,2,4
1: 3,4,7,2
1: 3,4,5,2,1,7,6
1: 3,5,1,4,2,7,6
1: 3,1,6,2
1: 3,1,4,5,6,2,7
1: 3,6,4,2,7
1: 3,7,1,6,2,5,4
1: 3,4,1,5,6,7
1: 3,2,1,7,6,5
1: 3,7,2,6,5,4,1
1: 3,2,7,5,1,6,4
1: 3,2,1,7,5,6,4
1: 4,3,6,1,7,5,2
1: 4,6,3,2,7,1,5
1: 4,5,3,7,6,1,2
1: 4,5,2,6,7
1: 4,6,7,2,5,1,3
1: 5,7,1,6,3,2,4
1: 5,6,7,3,2,4,1
1: 5,6,4,2,7,1,3
1: 5,2,6,4,7,3
1: 5,7,2,4,6,1,3
1: 5,6,3,7,2,4,1
1: 5,2,7,3,1,4
1: 5,1,6,7,3,4,2
1: 6,4,1,5,2
1: 6,4,3,2,1,5,7
1: 6,7,3,5,1,2,4
1: 6,2,3,7,4,1,5
1: 6,7,5
1: 7,4,2,6,3,5
1: 7,3,4,1,2,5,6
1: 7,3,4,2,1,5
1: 7,6,4,3
1: 7,4,6,5,1
1: 7,1,4,6,5,2,3
1: 7,1,5,4,2,6
1: 1,6,7,3
1: 5,7,1,6,3,4,2
1: 5,7,3,1,2,6,4
1: 5,2,3,6,7
1: 6,5,1,4,2,7,3
1: 1,2,4,7,6,5,3
1: 1,6,7,2,5,3
1: 1,6,2,4,7,3,5
1: 1,3,7,6,4,2,5
1: 2,5,3,4,7,6,1
1: 2,6,7,1,5,3,4
1: 3,2,5,4,1,7,6
1: 3,4,7,5,1,6
1: 3,1,7,4,6
1: 5,7,1,4,6,3,2
1: 5,4,1,3,6,7
1: 5,1,2,4,3,7,6
1: 6,5,4,7,3,1,2
1: 6,3,1,4,7,5,2
1: 7,2,6,4,3,5,1
1: 7,1,3,6,2,5,4
1: 5,4,2,1,7,6,3
1: 5,3,1,7,4,6,2
1: 6,5,7,3,1,4,2
1: 1,3,4,6,5,7,2
1: 1,3,7,5,4,6,2
1: 1,6,4,2,7,3,5
1: 2,3,4,6,5,7,1
1: 2,6,7,1,4,3,5
1: 2,1,3,7,6,4,5
1: 3,4,1,2
1: 4,3,6,5,2,1,7
1: 4,7,1,6
1: 5,2,7,1,6,3,4
1: 5,6,3,4
1: 5,3,4,6,7,2,1
1: 5,3,4,6
1: 6,2,1,4,3,5,7
1: 6,1,5,3,2,7,4
1: 6,1,7
1: 7,2,5,3
1: 7,3,1,2,6,5,4
1: 1,2,3,4,6,7,5
1: 1,5,3,2,4,7,6
1: 2,4,1,3,6,5,7
1: 2,3,7,6,4,1,5
1: 2,6,5,3,1,7,4
1: 2,5,1,6,4,7
1: 3,7,2,4,6,1
1: 3,2,5,7,4,1,6
1: 3,6,4,7,5,2,1
1: 3,7,2,5,6,1,4
1: 3,5,7,1,2,6,4
1: 3,5,7,4,1,2
1: 3,5,2,4,1,7,6
1: 3,2,5,6,4
1: 3,4,7,2,1,5,6
1: 4,1,3,7,6,2,5
1: 4,6,7,5,3,1,2
1: 4,2,5,3
1: 5,1,3,6,4,7,2
1: 5,3,7,1,2,4,6
1: 5,4,6,1,3,2,7
1: 5,1,2,3,6,7,4
1: 5,1,4,6,3,7,2
1: 5,6,4,1,7,3,2
1: 5,3,6,2,7,1,4
1: 5,7,2,4,3,1,6
1: 5,3,1,7
1: 5,2,4,6,3,1,7
1: 6,1,4,2,3,5,7
1: 6,1,7,4,2,3
1: 6,1,4,2,7,3,5
1: 6,3,7,2,5,1,4
1: 7,2,6,5,1,4
1: 7,4,6,1,5,2,3
1: 7,2,1,6,5,3,4
1: 1,4,3,6,7,5,2
1: 1,3,6,2,5,4,7
1: 1,6,7,3,2,5
1: 1,7,3,4,6,2
1: 1,6,2
1: 1,7,6,2
1: 2,1,5,3,4,7,6
1: 2,1,6,3,4,7,5
1: 3,5,2,7,1
1: 3,7,5,1,6,4
1: 3,7,1,5,2,4
1: 3,4,6,2,5,7,1
1: 3,6,2,7,5,1,4
1: 5,1,3,4,7
1: 7,1,3,6,2,4,5
1: 7,3,1,6,5
1: 1,2,6,4,5,3,7
1: 1,5,3,6,2,7,4
1: 2,3,4,7,5,1,6
1: 3,4,1,7,6,5
1: 3,4,5,7,2,6
1: 4,5,6,7
1: 4,7,5,2,1,6,3
1: 5,3,4,1,2,6,7
1: 5,6,4,1,3,7,2
1: 5,7,1,4,2,3,6
1: 5,1,4,2,7,6,3
1: 5,2,1,6,7,4,3
1: 6,4,1,2,7,3
1: 6,1,2,7,4,3,5
1: 6,5,7,1,3,4,2
1: 6,5,1,2,4,7,3
1: 6,3,1,5,4,2,7
1: 7,5,3,1,2,4,6
1: 7,5,2
1: 7,5,3,1,6,2,4
1: 7,5,3,4,1,2,6
1: 7,3,2,4
1: 7,3,6,1,2,5,4
1: 7,3,6,4,5,1
1: 7,2,5,4,3
1: 2,4,6,3,5,7,1
1: 1,6,2,7,4,3,5
1: 1,2,7,3,4,6,5
1: 1,6,2,4,3,5,7
1: 3,6,2,7,5,4,1
1: 2,3,4,6,5
1: 3,6,4,5
1: 5,2,4,7,1,6,3
1: 5,6,7,2,3,4,1
1: 5,4,7,6,1,2,3
1: 5,6,7,2,1,3,4
1: 6,1,3,4,2,5,7
1: 6,4,3,7,2,5,1
1: 7,1,6,2,3,5,4
1: 7,2,6,5,4,1,3
1: 1,3,6
1: 1,3,6,7,5,4,2
1: 1,3,6,5,2,4,7
1: 1,6,5,3,2,4,7
1: 2,5,3,6,7,4,1
1: 2,6,1,7,4,5
1: 2,6,3,1,4,5,7
1: 2,4,3,7,5,1,6
1: 2,6,3,1,4,7,5
1: 2,6,4,7,1,3,5
1: 2,4,6,1,7,5,3
1: 2,1,5,6,3
1: 3,6,4,2
1: 3,7,1,5,4
1: 3,4,5,2,7,6,1
1: 3,1,7,4,2,5,6
1: 3,6,4,7,5
1: 3,5,7,4,1
1: 3,7,4,5,1
1: 3,5,7,2,4,1
1: 3,7,2,1,5,4,6
1: 3,5,4,1,6,2
1: 3,5,1,4,2,7
1: 3,1,7,2,5,6,4
1: 3,1,6,5,7,2,4
1: 3,1,5,7,2,4,6
1: 4,2,7,6,3,5
1: 4,7,3,5
1: 4,3,5,7,2,6,1
1: 4,5,6,2,1,3,7
1: 5,6,1,3,7,4,2
1: 5,7,3,1,4,2
1: 5,2,7,6
1: 5,3,2,6,4
1: 5,7,3,6,4,2,1
1: 5,3,1,2,6,7,4
1: 6,2,4
1: 6,7,1,3,4,2,5
1: 6,4,3,5,1,7,2
1: 6,1,3,7,4,2,5
1: 6,4,1,7,3,2,5
1: 6,7,4,1,2,3,5
1: 6,4,5,3,1,2,7
1: 6,4,2,1,7,5,3
1: 6,1,4,5,2,3,7
1: 6,5,4,3,1,2,7
1: 6,5,1,4,7,2,3
1: 7,6,4,2,1,3,5
1: 7,2,3,4,1,5,6
1: 7,1,6,5,4,2,3
1: 7,4,1,5
1: 7,4,2,5,6,1,3
1: 1,5,6,3
1: 1,7,5,3,6,4,2
1: 1,6,4,2,5,3,7
1: 1,7,3,5,4,6,2
1: 1,6,7,4,3,2,5
1: 1,7,6,4,3,2,5
1: 1,2,3,4,7,6,5
1: 1,3,6,7,4,5,2
1: 2,5,6,1
1: 2,5,1,7,4,3,6
1: 2,7,6,1,3,4,5
1: 2,7,4,3,6,1,5
1: 2,1,6,3,5,7,4
1: 3,5,6,1,4,7
1: 3,6,5,2,7,1,4
1: 3,4,1,5
1: 3,7,4,2,1,5
1: 3,6,4,5,1
1: 3,7,5,1,4,2
1: 3,7,4,6,2
1: 4,2,1
1: 4,1,6,2,5,7
1: 4,7,5,3,2,6,1
1: 4,7,3,1,2,6
1: 4,1,3,6,7,2,5
1: 4,3,6,2
1: 4,6,1,3,2,5,7
1: 4,3,5,2,6,1,7
1: 5,1,7,4,3,6,2
1: 5,2,7,6,3,1,4
1: 5,7,4,2,1,3,6
1: 5,3,2,1,7,4
1: 5,6,3,7,1,2
1: 5,6,7,2,1,4,3
1: 5,6,2,7,3,4,1
1: 5,7,2,6,1,3,4
1: 5,6,2,7,3,1,4
1: 5,3,7,4,1,2
1: 5,2,1,7,6,3,4
1: 5,1,4,2,6,3,7
1: 5,1,4,6,3,2,7
1: 5,7,6,1,2,4,3
1: 6,7,3,1,5,2,4
1: 7,6,3,5
1: 7,6,3,4,2,1,5
1: 7,1,4,2,6,3,5
1: 7,4,3,5
1: 7,4,6,3,2,5,1
1: 7,3,5,4,1,2,6
1: 7,3,6,1,2,4,5
1: 7,4,2,6,1
1: 7,1,5,3,6,4,2
1: 1,4,3
1: 2,3,1,7,6,5,4
1: 2,3,7,6,5,1,4
1: 2,6,1,3,7,4,5
1: 2,7,6,5,1,3,4
1: 2,5,4,3,1,6,7
1: 2,6,5,3,7,4,1
1: 3,7,2,1,6,5,4
1: 3,2,7,6,4
1: 3,6,4,1,7,5,2
1: 3,4,2,5,1,6,7
1: 3,2,4,7,1,5
1: 4,7,3,2,6,1,5
1: 4,6,7,1,2,3,5
1: 4,1,6,5,3,7,2
1: 5,1,3,7,4,2,6
1: 5,4,3,7
1: 5,2,6,4
1: 5,2,3,1,6,7,4
1: 5,1,6,2,3
1: 5,2,6,3,4,1
1: 5,7,4,1,3,6,2
1: 5,7,4,6,3,2,1
1: 5,1,6,7,3,2,4
1: 6,5,4,1,7,3,2
1: 6,5,3,1,4,7,2
1: 6,7,1,3,4,5,2
1: 6,3,1,5,7,4,2
1: 6,7,2,4,3,1,5
1: 7,1,3,4,6
1: 7,2,3,5,1,6,4
1: 7,6,4,1,5,3,2
1: 7,4,5,3,2,6,1
1: 7,2,3,5,6,1,4
1: 7,1,4,6,3,5
1: 7,3,2,4,5,6,1
1: 7,6,2,4
1: 7,5,3,6
1: 7,1,4,5,6,2,3
1: 7,2,5,4,6,3,1
1: 7,4,6,2,5,3,1
1: 7,1,3,5
1: 1,5,3,2,6,7,4
1: 1,6,7,4,2,5,3
1: 1,5,2,4,6,7,3
1: 1,6,4,5,3,2,7
1: 1,2,7,4,3,5
1: 3,6,5,4,7,1
1: 3,1,6,2,4,5,7
1: 3,6,7,1,5
1: 3,1,7,6,4,2
1: 3,2,7,5
1: 4,7,3,1,5
1: 4,5,7,6,1,2,3
1: 4,1,5,6,7,3,2
1: 5,6,7,4,1,3,2
1: 5,6,4,7,3,2,1
1: 5,2,3,4,7,1
1: 6,2,4,1,7,3,5
1: 6,3,1,5,4,7,2
1: 6,3,5,4,7,2,1
1: 6,2,4,5,3,7,1
1: 7,1,3,4,2,5,6
1: 1,2,3,6,7,5,4
1: 1,4,6,3,7,2,5
1: 1,7,3,4,5,6,2
1: 1,7,3,6
1: 2,3,1,5,7,6,4
1: 2,3,6,7,5,4,1
1: 2,1,6,3,7,5,4
1: 2,5,1,6
1: 2,6,5,1
1: 2,6,1,5,7,4,3
1: 2,1,7
1: 3,2,4,7,6,5
1: 3,2,7,4,5,1,6
1: 3,2,1,4
1: 3,5,7,4,6
1: 3,5,2,1,6,7,4
1: 3,4,7,6,1
1: 3,2,7,1,6,5,4
1: 3,6,4,2,1,7,5
1: 4,1,7,3,2,6,5
1: 4,1,3,7,5,2,6
1: 4,1,3,7,6,5
1: 4,3,1,6,2,5,7
1: 5,3,6,2
1: 5,4,7,6,3,2,1
1: 5,3,2,4,7,6
1: 5,4,6,7,3,1,2
1: 5,6,2,3,1,7,4
1: 5,3,2,4,7,1,6
1: 5,1,7,6,4,3,2
1: 6,7,1,3,5,4,2
1: 6,7,1,4,5,3,2
1: 6,3,7,1,4,2,5
1: 6,3,2,5,7,1,4
1: 7,3,1,6,2,4,5
1: 7,3,1,6,2,5,4
1: 7,3,5,1,2,4,6
1: 7,3,5,1,4,2,6
1: 7,2,6,5,1,3
1: 7,1,4,3,6
1: 7,6,1,4,5,2,3
1: 7,2,3,6
1: 7,5,1,3,4,6,2
1: 1,7,2,3,4,5,6
1: 1,6,7,3,4,2,5
1: 1,3,7,4,6,2,5
1: 2,5,1,3,6,7
1: 2,1,6,4,3,7
1: 2,6,4,5,1,3,7
1: 2,4,5
1: 2,3,6,4,7,1,5
1: 2,6,1,4
1: 3,7,4,5,2,1,6
1: 3,7,6,5,2
1: 3,2,1,7,5,4,6
1: 3,4,1,6,5,7
1: 3,4,7,1,2,6
1: 3,7,6,5,4
1: 3,4,6,2,1,5,7
1: 4,3,7,1,6,2,5
1: 4,3,7,5,1,2
1: 4,1,5,6,2,7,3
1: 4,7,6,5,3,1,2
1: 4,5,3,7,2,6,1
1: 5,1,3
1: 5,2,7,3,6,1,4
1: 5,2,3,7,1,6,4
1: 5,7,3,6,1,2,4
1: 5,4,7,3,1,6
1: 5,7,3,2,1,4,6
1: 5,6,3,2,4
1: 6,3,5,1,7,4,2
1: 6,7,5,1,3,2,4
1: 6,7,4,1,5,3,2
1: 6,1,4,5,2,7,3
1: 6,2,4,5,7,1,3
1: 6,5,3,2,1,4,7
1: 6,7,4,5,1,3,2
1: 7,4,2,6,1,3,5
1: 1,2,6,3,4,5,7
1: 1,7,3,5,6,2,4
1: 1,3,7,4,5,2,6
1: 1,4,7,3,2,6,5
1: 2,5,1,6,7,4,3
1: 2,6,1,4,7,5
1: 3,4,5,1,6,7,2
1: 3,6,2,4,7,5
1: 4,6,5,3,7,2,1
1: 4,7,6,5,3
1: 4,3,5,2,1,7,6
1: 4,2,1,6,3,7,5
1: 4,6,7
1: 5,3,2,7,1,4
1: 5,7,2,1,6,4,3
1: 5,1,7,6,3,4,2
1: 5,3,4,2,7,1
1: 5,7,2,3,6,1,4
1: 5,2,7,6,1,4,3
1: 5,6,4,7
1: 6,2,3,5,1,4,7
1: 6,1,3,5,4,7,2
1: 6,2,7,5,1,3,4
1: 6,7,5,4,2,3,1
1: 7,1,2,4,3,6,5
1: 7,6,4,3,5
1: 7,4,1,3,6
1: 7,3,1,6,4
1: 7,3,5,1,4,6
1: 7,6,3,4,2,5,1
1: 7,1,5
1: 7,4,5,3,2,1,6
1: 7,5,4,1,3,2,6
1: 7,4,2,1,5,6
1: 1,4,2,7,3,6,5
1: 1,7,4,2,6,3,5
1: 1,4,2,3,6,5,7
1: 1,4,6,2,3,5,7
1: 2,7,4
1: 2,3,6,1,7,5,4
1: 2,5,6,4,1,7
1: 2,1,5,3,6,4,7
1: 2,1,6,5,7,4,3
1: 2,6,4,1,5,7,3
1: 2,4,7,6,3,5,1
1: 2,3,7,6,4,5,1
1: 2,7,4,5,6,1,3
1: 2,1,4,5,6,7,3
1: 2,4,6,7,1,5,3
1: 2,4,3,1,6,5,7
1: 2,4,1,3,6
1: 2,4,3,5
1: 2,3,6,7,4,5,1
1: 2,3,7,5,1,6,4
1: 2,6,5,4,1,7
1: 3,2,4,7,5
1: 3,2,6,5,7,1,4
1: 3,4,1,7,5,6
1: 3,7,6,4,2,1
1: 3,1,6,4,5,7,2
1: 3,5,7,6,2,4
1: 3,7,1,2,5,6,4
1: 3,5,2,1,4,6,7
1: 3,6,2,5
1: 3,2,1,4,5,6,7
1: 3,1,6,7,4,5
1: 3,5,4,1,2,6,7
1: 3,1,5,7,4,6,2
1: 3,5,2,6,4,7
1: 3,2,5,6,1
1: 3,4,6,2,1
1: 4,2,6,1,7
1: 4,2,5,1,6,7,3
1: 4,5,3,1,6,7,2
1: 4,2,6,1,5,3,7
1: 4,3,6,7,5,2,1
1: 4,3,6,2,1,7,5
1: 4,3,6,7,1,2,5
1: 4,3,2,6,7,5,1
1: 4,3,5,1,7,6,2
1: 4,6,1,2,3,7,5
1: 5,7,1,2,4,6,3
1: 5,7,3,6,2,1,4
1: 5,7,4,2,1,6,3
1: 5,7,3,2,6,4,1
1: 5,3,4,2,7,6,1
1: 5,6,3,1,7,2,4
1: 5,2,7,1,6,4,3
1: 5,4,7,3,1,6,2
1: 5,6,3,2
1: 5,7,4,2,1,3
1: 6,7,2,1,4,3,5
1: 6,2,4,7,1,3,5
1: 6,3,5,1,2,7,4
1: 6,2,5,4,1,3,7
1: 6,1,5,2,3,4,7
1: 6,5,1,7,2,4,3
1: 7,3,2,6,5,1,4
1: 7,2,3,5,6,4,1
1: 7,3,2,5,6,4,1
1: 7,3,5,4,2,1,6
1: 1,4,2,6,7,5,3
1: 1,7,2,5,4,6,3
1: 1,3,2,6,5,4,7
1: 1,7,3,2,4,5,6
1: 1,3,4,7,2,6,5
1: 1,2,3,7,4,6,5
1: 1,3,2,7,6,4,5
1: 2,3,6,1,5,7,4
1: 2,7,4,3
1: 2,3,1,6,4,5,7
1: 2,5,7,4,6,1,3
1: 2,1,4,6,3,7,5
1: 2,4,7,3,1,6,5
1: 2,5,1,4,6,7,3
1: 2,5,6,3,7,4,1
1: 2,1,7,4,3,6,5
1: 2,3,5,1,6,7,4
1: 2,4,1,6,7
1: 2,3,5,4,6,7,1
1: 2,5,6,4,7,1,3
1: 3,7,5,4,1,6
1: 3,2,1,6,4
1: 3,5,4,1,7
1: 5,2,1,7,4,6,3
1: 3,1,4,6,5,2,7
1: 3,7,1,5,2,4,6
1: 3,2,1,6,5,4
1: 3,4,6,1,7
1: 3,5,4,6,7,1
1: 3,2,7,6,5,4,1
1: 3,7,5,4,1
1: 3,6,1,5,4,2,7
1: 3,6,7,1,2,5,4
1: 3,7,6,5,4,1
1: 3,5,4,2,7,1,6
1: 3,6,4,1,5,7,2
1: 3,1,2,5,6,7,4
1: 3,7,2,6,4,5,1
1: 3,6,7,2,1,5,4
1: 3,7,6,4,5,1
1: 3,4,7,6,1,5
1: 3,1,5,7
1: 3,5,1,7
1: 3,4,2,1,6,7
1: 3,4,7,1,6,5
1: 3,4,5,1,2,7,6
1: 3,6,4,5,2,7,1
1: 3,2,4,1,5,6,7
1: 3,7,5,2
1: 3,2,6,7
1: 3,7,1,4,2
1: 4,6,1,2
1: 4,2,7
1: 4,2,1,3
1: 4,7,3,2,1,5,6
1: 4,3,7,6,2,5,1
1: 4,2,3,6,7,1,5
1: 4,6,2,1,3,5,7
1: 4,3,2,5,7,1,6
1: 4,2,5,1,7,3,6
1: 4,5,2,1,7,3,6
1: 4,5,6,3,2,1,7
1: 5,6,2,4,3,7,1
1: 5,1,2,7,4,6,3
1: 5,3,6,1,7,2,4
1: 5,1,2,6,3,7,4
1: 5,6,4,2,3,7,1
1: 5,3,7,4,1
1: 5,7,6,2,3,4,1
1: 5,3,6,7,1,4
1: 5,1,7,4,3,2
1: 5,2,4,3,6,7,1
1: 5,3,7,2,4,1,6
1: 5,3,4,6,7,1,2
1: 5,4,2,3,1,6,7
1: 5,7,6,2,1,4,3
1: 5,6,7,2,4,3,1
1: 5,3,2,1,4,7
1: 5,2,6,1,7,3,4
1: 5,4,3,2,7,1,6
1: 5,3,7,1,4,2
1: 5,1,2,3,4,6,7
1: 5,4,1,7,6
1: 5,2,6,3,1,4
1: 5,7,6,3
1: 5,2,1,3
1: 5,3,6,2,7,1
1: 5,4,2,6,7,3
1: 5,1,2,3,7,4,6
1: 5,4,7,3,2,6,1
1: 5,7,1,4,2,6,3
1: 5,2,7,4,3,6
1: 5,7,4,6,1
1: 5,7,3,2
1: 5,4,6,2,1,3,7
1: 5,2,6,4,1,3
1: 5,1,2,6,4,7,3
1: 5,3,6,7,1,2,4
1: 5,4,6,7
1: 5,2,7
1: 5,4,6,1,7,3,2
1: 5,2,6,3,4
1: 5,4,7,1,6,3,2
1: 5,2,4,6,3,7,1
1: 6,2,4,1
1: 6,5,1,3,2,7,4
1: 6,1,4,2,5,3,7
1: 6,2,5,1,4,3,7
1: 6,5,2,4,7,3,1
1: 6,5,4,7,1,3,2
1: 6,5,1,3,4,7,2
1: 6,7,4,3,5,1
1: 6,3,7,2,4,5,1
1: 6,4,7,1,2,3,5
1: 6,1,7,3,5,4,2
1: 6,2,3,4,7,5,1
1: 6,3,4,1,5,7,2
1: 6,3,1,5,2,7,4
1: 6,7,4,3,5,1,2
1: 6,4,7,3,5,1,2
1: 6,3,2,7,5,4,1
1: 6,3,2,1,7,4,5
1: 7,6,5,4,3,1,2
1: 7,5,6,4,1,2,3
1: 7,2,4,6,5,3,1
1: 7,4,2,6,1,5,3
1: 7,1,2,6,4,3,5
1: 7,2,6,1,5,4,3
1: 7,6,1,4,2,3,5
1: 7,6,3,1,5,2,4
1: 7,4,5,1,3,2
1: 7,4,2,1,6,3,5
1: 7,4,3,1,5,6
1: 7,3,1,2,4,5,6
1: 7,5,6,1,3,4,2
1: 7,5,4,1,6,3,2
1: 7,6,5,3,1,4
1: 7,2,4,6,3,5
1: 7,5,3,4,6,2,1
1: 7,4,3,6,1
1: 7,1,6,3,5,2,4
1: 7,2,1,6,3,5,4
1: 7,6,3,5,4,1,2
1: 1,6,3,7,4,5,2
1: 1,7,6,5,4,3,2
1: 1,6,4,2
1: 1,2,4,6,7
1: 3,4,6,5
1: 3,6,1,4,7
1: 4,1,6,2,5,3,7
1: 5,2,3,6,7,4
1: 5,1,2,3,6,4,7
1: 6,2,5,4,3,1,7
1: 6,5,2,1,4,3,7
1: 6,7,2,5
1: 7,5,6,1,4
1: 7,5,6,4,1,3,2
1: 1,4,2,7,6,5,3
1: 1,5,7,2,4,3,6
1: 1,2,4,6,7,3,5
1: 1,6,4,7,2,3,5
1: 2,4,1,7,5,6,3
1: 2,4,1,6,5,7,3
1: 2,5,4,1,6,7,3
1: 2,3,4,5,6,1,7
1: 2,6,3,1
1: 2,5,3,1,4,6,7
1: 3,1,4,6,7,5
1: 3,6,1,7,5,4,2
1: 3,5,1,4,7,2
1: 3,2,4,5
1: 4,7,5,3,2,1,6
1: 4,5,6,1,3,2,7
1: 4,3,6,1,2,7,5
1: 4,2,7,6,3,1,5
1: 4,7,3,1,2,6,5
1: 5,4,6,7,1,2,3
1: 5,1,4,6
1: 5,2,3,6
1: 5,4,3,6,7,2,1
1: 5,2,6,7
1: 5,2,1,6,7,3
1: 5,4,1,3,7,6,2
1: 5,4,2,6,3,1,7
1: 5,2,4,1,3,6,7
1: 5,4,6,3,7,1,2
1: 6,5,2,3,4,7,1
1: 7,5,3,6,2,4,1
1: 1,2,7
1: 1,3,2,4,6,5,7
1: 1,2,3,4,6,5,7
1: 1,6,3,4,2,5,7
1: 1,4,6
1: 1,5,7,4,6,3,2
1: 1,5,2,6,3,4,7
1: 1,4,7,3
1: 1,6,4,7,2,5,3
1: 2,7,3,4,6
1: 2,7,4,3,6
1: 2,3,7,4,6,1,5
1: 3,5,1,7,4
1: 3,7,2,4,5
1: 3,7,6,5,1,4
1: 3,6,5,1,2
1: 3,4,6,5,1,7
1: 3,1,4,6,5,7
1: 3,1,6,7,5
1: 3,4,2,1,7,5,6
1: 3,6,1,2
1: 3,1,7,6,2,5,4
1: 4,2,5,6,7,1,3
1: 4,2,3,6,5,1
1: 4,7,3,5,2,6,1
1: 4,3,6
1: 4,3,2,5,1,6,7
1: 4,3,6,5,1,2,7
1: 5,4,2,3,7,6,1
1: 5,4,3,6,2,1,7
1: 5,1,3,4,2,6,7
1: 5,4,1,6,2,3,7
1: 6,2,4,1,3,5,7
1: 6,2,5,3,4,7,1
1: 6,7,3,1,5,4,2
1: 6,7,4,1,2,3
1: 7,1,4,6,2,3,5
1: 7,6,2,1,5,4,3
1: 7,1,6,5,4,3,2
1: 7,4,6,5,1,2,3
1: 7,1,6,4,5,3,2
1: 7,3,5,6,4,1
1: 7,5,1,4,6,3,2
1: 1,4,7,2,6,3,5
1: 2,6,4,1
1: 3,4,5,2,7
1: 3,1,2,4,5,6,7
1: 7,1,6,3,2,4,5
1: 7,2,6,4,5,1,3
1: 1,5,6,3,4,7,2
1: 1,5,3,6,4,2,7
1: 1,7,2
1: 1,7,2,3,6
1: 1,5,6,3,2,7,4
1: 1,3,7,5,4
1: 1,4,3,7
1: 1,4,2
1: 1,2,4,3,5,6,7
1: 2,1,5,4,6
1: 2,6,3,1,7,5,4
1: 2,7,1,6,5,4,3
1: 2,5,6,4,1,3
1: 2,6,5,4,3,7,1
1: 2,4,5,3,7,1,6
1: 2,5,3,1,7,6,4
1: 2,6,1,3,4,7,5
1: 2,3,5,1,7,6,4
1: 3,4,1,5,7,2,6
1: 3,7,4,2,5,6
1: 3,5,1,4,2,6,7
1: 3,5,7,4,6,1
1: 3,4,7,2,5,1
1: 3,6,4,2,5,1,7
1: 3,4,1,2,7,5,6
1: 3,7,2,6,1,5
1: 4,1,7,2,5,3,6
1: 4,1,7,2,3,6,5
1: 4,3,5,6,2,7,1
1: 4,7,2,3,1,6,5
1: 4,3,7,6,1,2,5
1: 4,3,6,7,2,5,1
1: 4,2,1,6,3,5,7
1: 4,6,7,2,3,5,1
1: 4,6,1,5,2,3,7
1: 4,1,7,2,3,5,6
1: 4,1,7,2,6,5,3
1: 5,7,4,3
1: 5,6,4,7,2,3,1
1: 5,3,1
1: 5,7,3,4,1
1: 5,7,1
1: 5,7,4,2,6,3,1
1: 5,7,4,2,6
1: 5,7,6,4,3,2,1
1: 5,2,4,6,7,3,1
1: 5,4,1,6,3,7,2
1: 5,3,4,6,2,7,1
1: 5,4,7,2,6,3,1
1: 5,3,4,7,6,2,1
1: 5,7,1,3,2,4,6
1: 6,2,1,3,5,7,4
1: 6,5,1,7
1: 6,3,4,1,5,2,7
1: 6,3,2,5,4,1,7
1: 6,3,4,2,7,5,1
1: 6,7,2,4,1,5,3
1: 6,1,4,7,2,3,5
1: 6,5,3,1
1: 6,1,5,2,4,7,3
1: 6,4,1,2,7,3,5
1: 6,5,1,3,2,4,7
1: 6,2,1
1: 7,5,1,6,3,2,4
1: 7,4,5,1,3,6,2
1: 7,3,6,1,5
1: 7,5,6,3,2,1,4
1: 7,4,1,6,3,2,5
1: 7,3,4,2,5
1: 7,2,3,4,6,5,1
1: 7,5,6,4,3,1,2
1: 7,2,6,3,4,1,5
1: 7,4,3,2,5,6,1
1: 7,4,1,5,2,6,3
1: 7,3,4,1,2
1: 7,4,3,5,2,6,1
1: 7,4,3,2
1: 1,4,6,7,3,5,2
1: 1,5,6,3,2
1: 1,4,7,3,6,2,5
1: 1,7,4,6,3,2,5
1: 1,7,3,6,5,4,2
1: 1,3,7,2,5,4
1: 2,5,1,3,7
1: 2,3,1,6,4,7,5
1: 2,6,3,7,1,5,4
1: 4,1,3,6,5,7,2
1: 2,5,6,4
1: 3,5,6,7,1
1: 3,1,7,6,4,5
1: 5,3,2,7,1,4,6
1: 5,3,4,1,2,7,6
1: 5,6,1,4
1: 5,7,3,6,2,4,1
1: 5,3,6,2,7
1: 5,2,3,7,4,1,6
1: 6,3,7,1,4
1: 6,5,1,2,3,7,4
1: 6,1,3,7,2,4,5
1: 6,4,1,7
1: 6,7,3,5,2,4,1
1: 7,1,3,2,4,6,5
1: 7,5,6,2,3,1
1: 7,1,3,2,4,5,6
1: 7,6,4,1,2,3,5
1: 7,5,4,1,2,3,6
1: 7,3,6,5,1
1: 1,5,4,6,2,3,7
1: 1,3,4,5,7,6,2
1: 1,2,6,5,4,7,3
1: 1,4,3,6,7,2,5
1: 2,5,1,4,6,7
1: 3,4,7,1,2,5,6
1: 3,5,7,6,1
1: 3,5,1,6
1: 4,7,3,1,5,2,6
1: 4,7,2,6,1,5,3
1: 4,7,2,6,3,5,1
1: 4,2,1,5,6,3
1: 4,3,5,2,7,1
1: 5,7,2
1: 5,3,4,2,7,1,6
1: 5,2,1,3,6,7,4
1: 7,5,3,1,4,6,2
1: 7,6,4,2,3,1,5
1: 7,1,2,6,5,3,4
1: 7,1,5,4
1: 7,2,4,3
1: 7,1,6,4
1: 7,5,3,2,1,4
1: 7,3,1,5,4,2,6
1: 7,5,3,4,6,1,2
1: 1,5,3,6,7,2,4
1: 1,7,4,2,6,5,3
1: 1,2,3
1: 1,7,6,4,5,3,2
1: 2,4,6,1,5,7
1: 3,7,1,4,2,6
1: 3,2,4,5,6,1,7
1: 3,7,6,5,2,4
1: 3,2,6,5,7,1
1: 3,7,1,6,4
1: 3,4,5,7,1,6,2
1: 3,2,7,4
1: 4,2,6,5,1,7,3
1: 4,2,7,3,6,1,5
1: 4,1,6,5,7,3,2
1: 4,1,6,3,5,2,7
1: 4,1,6,2,7,3,5
1: 4,5,2,7,3,6,1
1: 5,4,7,1,2,6,3
1: 5,3,1,6,7,2,4
1: 5,7,4,2,3,1
1: 5,6,7,4
1: 5,3,4,1,7,2,6
1: 5,4,7,2,1,6,3
1: 6,5,7,1,3,2,4
1: 6,3,4,7,2,5,1
1: 6,3,2,5,1,4,7
1: 6,3,1,4,5,2,7
1: 7,1,5,6,2,4,3
1: 7,6,4,1,3,2,5
1: 7,5,4,1,6,3
1: 7,4,2,6,5,3,1
1: 2,4,7,3,5,1,6
1: 6,5,4
1: 2,4,6,5,3,1,7
1: 2,5,1,4,3,7,6
1: 3,1,6,5
1: 3,4,6,5,2,1,7
1: 3,4,7,5,2,6,1
1: 3,4,6,5,7,1
1: 3,6,4,1,7
1: 3,5,4,2,1,7,6
1: 3,4,1,5,2,7,6
1: 4,3,1,6,5,2,7
1: 4,1,6,7,3,2,5
1: 4,7,3,5,6,1,2
1: 4,7,5,6,1,3
1: 5,1,3,4,7,2,6
1: 5,6,7,4,3,1,2
1: 5,7,3,4,2,6,1
1: 5,2,3,7,6,4,1
1: 5,1,2,6
1: 5,2,7,3,6,4,1
1: 6,3,7,5,1,4,2
1: 6,5,2,4,7,1,3
1: 7,5,6,4,3,2,1
1: 7,5,4,3,2,1,6