# FILE NAME: 00058-00000004.soi
# TITLE: Balmain 2015
# DESCRIPTION: 
# DATA TYPE: soi
# MODIFICATION TYPE: original
# RELATES TO: 
# RELATED FILES: 
# PUBLICATION DATE: 2015-03-28
# MODIFICATION DATE: 2023-05-22
# NUMBER ALTERNATIVES: 7
# NUMBER VOTERS: 46952
# NUMBER UNIQUE ORDERS: 2483
# ALTERNATIVE NAME 1: FOGARTY Patrick
# ALTERNATIVE NAME 2: BROWN Gordon
# ALTERNATIVE NAME 3: GANNON Lyndon
# ALTERNATIVE NAME 4: AVASALU Rhonda
# ALTERNATIVE NAME 5: NIELSEN Michelle
# ALTERNATIVE NAME 6: PARKER Jamie
# ALTERNATIVE NAME 7: FIRTH Verity
8677: 3
5680: 7
5660: 6
2690: 7,6,5,1
1861: 6,1,5,7
1571: 6,7
1171: 7,6
532: 6,1,5,7,3,2,4
442: 5
433: 7,6,5,1,2,3,4
388: 6,7,5,1,2,3,4
340: 6,7,1,5,2,3,4
329: 1
307: 3,6
303: 2
240: 7,6,5,1,2,4,3
230: 6,1,5,7,2,3,4
219: 6,3
208: 6,7,1,5
207: 4
204: 7,6,5
203: 6,7,1,5,3,2,4
199: 6,7,5,1
187: 6,7,1
170: 3,7
170: 6,1,5
163: 7,6,1,5,2,3,4
159: 7,6,5,1,3,2,4
152: 6,7,5
147: 6,7,5,2,1,3,4
142: 6,7,3
140: 6,7,5,1,2,4,3
140: 6,7,5,1,3,2,4
140: 6,1,7
137: 6,7,1,5,2,4,3
131: 6,1
130: 7,6,3
125: 7,6,1
117: 6,5
116: 6,1,7,5,2,3,4
114: 7,6,1,5,3,2,4
113: 7,3
110: 7,6,1,5
104: 3,6,7
104: 6,7,1,2,5,3,4
99: 6,5,1,7
98: 7,6,5,4,3,2,1
96: 7,6,5,2,1,4,3
92: 7,6,1,5,2,4,3
90: 3,7,6
89: 6,1,7,5
88: 6,5,7
86: 6,7,3,1,5,2,4
85: 7,6,5,2,1,3,4
84: 6,7,1,3,5,2,4
81: 3,4
77: 6,7,5,2,1,4,3
76: 6,5,7,1,2,3,4
75: 6,7,3,5,1,2,4
69: 6,1,5,7,2,4,3
69: 7,3,6
68: 3,2
66: 6,3,7
66: 7,6,1,2,5,3,4
66: 7,6,5,1,4,2,3
63: 7,6,3,1,5,2,4
60: 6,7,5,3,1,2,4
58: 6,1,7,5,3,2,4
55: 7,6,3,5,2,1,4
54: 7,6,1,3,5,2,4
54: 7,6,3,5,1,2,4
53: 6,7,1,2,5,4,3
53: 7,6,3,1,2,5,4
51: 6,7,3,1,2,5,4
51: 7,6,1,2,5,4,3
50: 6,5,1,7,2,3,4
49: 6,7,1,5,3,4,2
48: 5,6
48: 6,7,3,5,2,1,4
47: 6,7,1,2,3,4,5
47: 6,7,5,3,2,1,4
46: 7,6,5,3,2,1,4
46: 7,6,5,4,2,1,3
43: 6,5,1,7,3,2,4
42: 6,7,2,1,5,3,4
42: 6,5,7,1
41: 6,5,7,1,3,2,4
41: 6,2
40: 6,7,1,2,3,5,4
40: 7,1
40: 7,6,3,2,1,5,4
38: 3,5
37: 3,1
37: 7,6,5,3,1,2,4
36: 6,5,1
35: 6,1,7,3,5,2,4
35: 6,7,3,2,1,5,4
35: 7,5
34: 1,2,3,4,5,6,7
34: 6,7,1,3,2,5,4
34: 6,1,5,7,3,4,2
33: 6,3,7,1,5,2,4
33: 6,1,5,7,4,2,3
33: 7,6,1,3,2,5,4
32: 1,6,7
32: 3,6,7,5,1,2,4
32: 4,3
32: 6,7,2,5,1,4,3
32: 6,7,5,2,3,1,4
32: 7,2
32: 7,6,2,5,1,3,4
31: 6,7,1,5,4,2,3
31: 6,1,7,5,2,4,3
31: 7,6,2,1,5,4,3
30: 3,1,2,4,5,6,7
30: 6,5,1,7,2,4,3
30: 6,3,7,1,2,5,4
30: 6,7,2,5,1,3,4
30: 7,6,5,1,3,4,2
29: 6,1,5,2,7,3,4
29: 7,6,1,5,4,2,3
29: 1,6
28: 1,6,7,5,2,3,4
28: 6,5,1,2,7,3,4
28: 6,1,7,2,5,3,4
28: 6,7,5,1,3,4,2
28: 7,6,3,2,5,1,4
28: 3,6,7,5,2,1,4
27: 1,6,7,5,3,2,4
27: 6,5,7,2,1,3,4
27: 6,7,2
27: 7,5,1,6
26: 6,7,2,1,5,4,3
26: 6,7,3,1,2,4,5
26: 7,1,6
26: 7,6,3,1,2,4,5
26: 7,1,2,3,4,5,6
25: 7,5,6
25: 7,6,2,1,5,3,4
25: 7,6,1,2,3,5,4
25: 7,6,1,2,3,4,5
24: 1,7,6
24: 3,2,1,4,5,6,7
24: 3,6,7,2,1,5,4
24: 7,6,1,5,3,4,2
24: 6,5,7,1,2,4,3
23: 3,7,6,5,1,2,4
23: 3,7,6,5,4,2,1
23: 7,5,6,1,2,3,4
22: 3,7,6,1,2,5,4
22: 6,3,7,5,1,2,4
22: 7,6,5,1,4,3,2
22: 6,7,3,2,5,1,4
22: 7,3,6,1,5,2,4
22: 7,6,2
22: 3,7,6,5,2,1,4
21: 3,6,7,5,4,2,1
21: 6,3,7,5,2,1,4
21: 6,7,5,1,4,2,3
21: 7,6,5,2
21: 7,6,5,2,3,1,4
20: 3,6,5
20: 6,3,7,1,2,4,5
20: 6,7,3,1,5,4,2
20: 6,3,7,2,1,5,4
20: 7,1,6,5
20: 7,5,6,1
20: 6,3,5
20: 6,7,5,4,3,2,1
20: 3,6,7,1,5,2,4
19: 5,6,7
19: 6,7,3,5,4,2,1
19: 7,1,6,5,2,3,4
19: 7,6,5,4,1,2,3
19: 7,6,2,5,4,1,3
19: 7,6,2,5,1,4,3
18: 3,7,6,1,2,4,5
18: 3,6,1,2,4,5,7
18: 3,6,7,1,2,5,4
18: 6,1,5,3
18: 7,6,3,2,1,4,5
18: 3,4,5,2,1,6,7
17: 5,7,6
17: 6,7,5,3,4,2,1
17: 6,3,1,2,5,7,4
17: 6,7,1,3
17: 2,3
17: 3,4,2,5,1,7,6
16: 3,6,7,2,5,1,4
16: 6,3,1,2,4,5,7
16: 6,3,7,2,5,1,4
16: 7,6,5,3
16: 7,3,6,5,4,2,1
16: 1,7
16: 6,7,1,3,2,4,5
16: 5,7
16: 7,6,5,3,4,2,1
16: 7,6,5,2,4,1,3
15: 3,1,2,4,5,7,6
15: 6,7,3,2,1,4,5
15: 6,5,1,2,7,4,3
15: 6,7,1,3,5,4,2
15: 6,7,2,1,3,5,4
15: 7,1,5,6
15: 7,1,5,6,2,3,4
15: 7,6,3,5,4,2,1
15: 7,6,3,2,4,5,1
15: 6,1,7,5,3,4,2
14: 1,3
14: 1,6,5,7
14: 3,7,6,1,5,2,4
14: 6,1,2,5,7,3,4
14: 6,1,5,2,4,3,7
14: 6,5,7,3,2,1,4
14: 7,6,1,3
14: 7,6,1,3,5,4,2
14: 7,5,6,1,3,2,4
14: 7,6,5,2,3,4,1
14: 7,1,6,5,3,2,4
14: 3,7,6,2,1,5,4
14: 6,1,7,3,2,5,4
14: 7,6,3,1,5,4,2
14: 3,4,1,2,5,7,6
14: 3,2,1,5,4,7,6
14: 6,7,5,4,1,2,3
13: 1,6,7,3,2,5,4
13: 3,7,1,2,4,5,6
13: 3,1,2,5,6,7,4
13: 5,6,7,1,2,3,4
13: 6,3,1
13: 7,6,3,1
13: 7,3,1
13: 3,2,1,4,5,7,6
13: 6,2,7
13: 7,1,6,3,5,2,4
13: 7,6,3,4,5,2,1
13: 7,6,3,2,5,4,1
13: 6,7,3,4,5,2,1
13: 3,2,4,5,1,6,7
13: 7,6,1,2,4,5,3
12: 3,7,5,2,1,4,6
12: 3,1,5,2,4,6,7
12: 3,6,7,2,5,4,1
12: 3,6,2,1,5,4,7
12: 3,2,5,1,4,6,7
12: 6,3,7,4,5,2,1
12: 6,3,1,5,7,2,4
12: 6,1,3,7,5,2,4
12: 6,7,2,5,3,1,4
12: 6,3,5,1,2,7,4
12: 6,7,3,5
12: 1,6,7,3,5,2,4
12: 3,2,6
12: 6,3,7,5,4,2,1
12: 7,6,2,1,3,4,5
12: 3,7,6,2,5,1,4
12: 3,1,2,5,4,6,7
12: 7,6,2,1,3,5,4
11: 1,7,6,5,3,2,4
11: 3,6,1,2,5,7,4
11: 6,7,1,2,4,5,3
11: 6,1,7,3
11: 6,7,3,1
11: 6,7,5,2
11: 6,4
11: 7,3,6,5,1,2,4
11: 7,3,6,1,2,5,4
11: 7,6,5,3,2,4,1
11: 7,1,6,5,2,4,3
11: 7,3,6,5,2,1,4
11: 1,7,6,5,2,3,4
11: 3,5,6,7,2,1,4
11: 3,6,5,2,1,4,7
11: 5,6,7,1
11: 6,5,7,2,1,4,3
11: 6,3,1,5,2,4,7
11: 6,7,3,5,2,4,1
11: 6,3,2,1,5,7,4
11: 6,7,2,3,5,1,4
11: 6,3,1,7,5,2,4
11: 7,4
11: 7,6,2,5,3,1,4
11: 6,1,5,2,3,7,4
11: 6,7,1,5,4,3,2
11: 6,5,2,1,7,3,4
11: 6,7,5,2,4,1,3
11: 3,4,2,1,5,6,7
10: 3,7,1,2,5,4,6
10: 3,5,2
10: 3,2,5,6,1,4,7
10: 3,4,2,1,5,7,6
10: 3,6,1,2,5,4,7
10: 6,7,1,4,5,2,3
10: 6,1,7,5,4,2,3
10: 6,7,3,2,5,4,1
10: 6,7,5,1,4,3,2
10: 6,7,2,3,1,5,4
10: 6,7,4,5,1,2,3
10: 6,1,5,7,4,3,2
10: 7,5,6,1,2,4,3
10: 6,7,3,5,1,4,2
10: 6,1,7,5,4,3,2
10: 6,7,2,1,3,4,5
10: 6,5,7,3,1,2,4
10: 7,1,2,5,6,3,4
10: 6,7,5,3,2,4,1
10: 7,5,1
10: 7,6,2,1,4,5,3
10: 3,2,4,5,1,7,6
10: 3,2,1,5,4,6,7
10: 7,3,6,2,5,1,4
10: 1,6,5,7,2,3,4
10: 6,5,3,7,2,1,4
9: 3,1,6
9: 6,1,7,3,5,4,2
9: 7,6,5,4
9: 7,6,1,3,2,4,5
9: 7,6,1,5,4,3,2
9: 7,6,2,4,5,1,3
9: 7,6,2,3,5,1,4
9: 7,6,2,3,1,5,4
9: 1,2
9: 3,1,2,5,4,7,6
9: 3,6,4,2,1,5,7
9: 5,6,7,3,2,1,4
9: 7,1,5
9: 6,3,2
9: 6,7,2,5,4,1,3
9: 7,6,4,2,1,5,3
9: 7,6,3,5,4,1,2
9: 3,2,4,1,5,7,6
9: 3,6,2
9: 3,6,1
9: 3,6,7,5,2,4,1
9: 5,6,1,7,2,3,4
9: 7,6,5,4,2,3,1
9: 1,5,6,7,2,3,4
9: 3,6,7,2,4,5,1
9: 6,7,3,4,5,1,2
8: 3,4,7,6,5,2,1
8: 3,4,2,5,1,6,7
8: 3,6,7,1,2,4,5
8: 3,6,5,7,1,2,4
8: 5,6,7,1,2,4,3
8: 6,3,1,2,5,4,7
8: 6,1,5,3,7,2,4
8: 6,3,1,7
8: 6,7,4
8: 6,1,3
8: 7,6,3,5,1,4,2
8: 7,3,6,4,5,2,1
8: 7,5,2,1,4,3,6
8: 7,6,1,3,4,5,2
8: 3,6,7,2,1,4,5
8: 3,7,4
8: 5,3
8: 5,1
8: 5,3,6
8: 6,5,1,7,3,4,2
8: 6,3,2,5,1,7,4
8: 6,1,2,7
8: 6,3,7,1
8: 2,6
8: 7,2,6
8: 5,6,1,7
8: 7,6,4
8: 6,1,2,7,5,3,4
8: 7,3,6,5,2,4,1
8: 7,3,6,1,2,4,5
8: 3,2,4,1,5,6,7
8: 6,5,2,7,1,3,4
8: 6,7,5,2,3,4,1
8: 3,4,1,2,5,6,7
8: 3,5,2,1,4,6,7
8: 2,7
7: 1,7,6,3,2,5,4
7: 1,6,7,5
7: 3,6,5,4,2,1,7
7: 3,6,4,5,2,1,7
7: 3,7,6,5,4,1,2
7: 3,7,1,6,2,5,4
7: 3,5,2,1,4,7,6
7: 6,5,4,3,2,1,7
7: 6,3,2,7,5,1,4
7: 6,3,5,7,1,2,4
7: 6,7,3,4,2,1,5
7: 6,3,5,7,2,1,4
7: 6,7,3,2,4,5,1
7: 6,1,2,3,4,5,7
7: 6,1,7,2,3,5,4
7: 6,7,3,4,2,5,1
7: 6,1,3,7
7: 6,5,3,7
7: 7,6,3,2
7: 7,6,3,5
7: 7,5,6,2,1,3,4
7: 7,6,4,5,2,1,3
7: 3,6,7,4,5,2,1
7: 4,3,1,2,5,7,6
7: 6,1,5,7,2
7: 7,1,2,5,6,4,3
7: 6,3,7,5
7: 7,1,5,2,3,4,6
7: 6,3,1,7,2,5,4
7: 7,3,6,1
7: 7,3,1,2,4,5,6
7: 7,1,2,6,5,3,4
7: 3,4,5,2,1,7,6
7: 5,6,1,2,7,3,4
7: 3,5,1,2,4,7,6
7: 3,7,2
7: 6,3,2,1,4,5,7
7: 6,1,5,2
7: 7,6,4,5,1,2,3
7: 7,6,5,1,2
7: 3,2,1,5,6,7,4
7: 7,5,2,1,6,4,3
7: 2,5
7: 3,7,4,2,1,5,6
7: 6,7,2,5
7: 3,1,2,6,7,5,4
7: 3,6,1,2,7,5,4
7: 7,6,4,5,3,2,1
7: 4,7
6: 1,6,5
6: 1,5,6,7
6: 3,7,6,4,2,1,5
6: 3,1,7,6,5,2,4
6: 3,5,4,2,1,6,7
6: 3,6,7,4,2,5,1
6: 5,1,6,7,2,3,4
6: 5,7,6,1,2,3,4
6: 6,5,1,2,4,7,3
6: 6,3,7,2,4,5,1
6: 6,7,1,2
6: 6,7,5,4,2,1,3
6: 6,7,5,3
6: 7,1,3,6
6: 7,6,2,5
6: 7,6,4,3,5,2,1
6: 7,6,3,4,2,1,5
6: 7,3,1,5,6,2,4
6: 7,3,4,1,2,5,6
6: 7,1,2,5,4,3,6
6: 7,1,5,6,3,2,4
6: 7,5,1,6,2,4,3
6: 3,5,2,1,7,6,4
6: 3,7,1,6,5,2,4
6: 3,6,7,4,5,1,2
6: 3,6,7,1,5,4,2
6: 5,2
6: 6,1,2,5,4,7,3
6: 6,1,5,3,2,7,4
6: 6,5,7,2,3,1,4
6: 6,3,2,1,5,4,7
6: 6,3,5,4,2,1,7
6: 7,3,6,2,1,5,4
6: 7,3,2,1,5,4,6
6: 7,3,2
6: 3,4,1,5,2,6,7
6: 6,5,1,2,3,7,4
6: 7,6,2,3,4,5,1
6: 6,3,1,5,2,7,4
6: 6,2,1,5,4,7,3
6: 5,6,7,2,1,3,4
6: 7,6,3,5,2,4,1
6: 7,1,2,4,5,6,3
6: 7,3,6,1,5,4,2
6: 7,5,6,2,1,4,3
6: 7,3,4,2,1,5,6
6: 3,1,7,6,2,5,4
6: 3,1,2,5,7,6,4
6: 5,7,6,2,1,3,4
6: 3,7,5,6,2,1,4
6: 3,2,5,1,4,7,6
6: 3,6,5,1,2,4,7
6: 3,2,6,7,5,1,4
6: 6,5,1,3,2,7,4
6: 6,7,1,5,2
6: 6,3,2,5,4,1,7
6: 7,5,1,2,6,4,3
6: 7,5,6,3,2,1,4
6: 7,6,2,5,3,4,1
6: 1,3,6
6: 1,5
6: 3,1,5,2,6,7,4
6: 7,5,2,6,1,3,4
6: 1,6,7,2,3,5,4
6: 1,2,3
6: 3,6,2,1,5,7,4
6: 6,7,3,4,1,2,5
6: 6,7,1,3,4,5,2
6: 3,5,6,2,1,4,7
6: 3,4,5,1,2,6,7
6: 3,7,6,2,4,5,1
6: 3,7,6,1,5,4,2
6: 6,5,7,1,3,4,2
6: 3,5,6
6: 6,5,2
6: 6,7,5,3,4,1,2
6: 3,6,5,1,2,7,4
6: 7,2,6,5,4,3,1
6: 3,4,6
6: 3,5,6,7,1,2,4
6: 6,5,2,1,3,4,7
6: 7,1,2
6: 7,6,4,3,2,5,1
6: 6,3,5,2,1,4,7
6: 3,6,2,1,4,5,7
5: 2,1,3,4,5,6,7
5: 3,7,4,5,2,1,6
5: 3,7,1,5,2,4,6
5: 3,7,6,4,2,5,1
5: 3,4,6,2,5,1,7
5: 3,6,4,5,1,2,7
5: 3,6,1,5,2,4,7
5: 3,6,1,5,2,7,4
5: 5,1,6,7
5: 6,1,3,7,2,5,4
5: 6,1,2,5,7,4,3
5: 6,5,7,4,1,2,3
5: 6,5,2,1,3,7,4
5: 6,5,2,7,3,1,4
5: 6,3,5,1,2,4,7
5: 6,5,7,3
5: 6,7,5,2,1
5: 6,1,3,7,5,4,2
5: 6,7,5,1,2
5: 7,1,6,5,4,2,3
5: 7,5,1,2,4,6,3
5: 7,6,4,2,5,1,3
5: 7,5,6,4,3,2,1
5: 7,5,1,2,3,6,4
5: 1,6,7,5,3,4,2
5: 3,5,2,4,1,7,6
5: 3,2,1,5,7,4,6
5: 3,4,6,7,5,2,1
5: 3,6,2,4,1,5,7
5: 3,6,2,7,5,4,1
5: 3,6,5,2,7,1,4
5: 3,1,2,6,5,7,4
5: 4,7,6
5: 6,5,2,7,1,4,3
5: 7,5,2,4,6,1,3
5: 7,3,5,6
5: 7,1,6,3
5: 7,3,6,2,1,4,5
5: 2,1
5: 5,1,6
5: 3,7,6,4,5,1,2
5: 3,2,1,7,6,5,4
5: 3,6,2,5,1,4,7
5: 6,1,5,2,4,7,3
5: 6,1,7,2
5: 6,7,2,3,1,4,5
5: 6,1,3,5,2,7,4
5: 6,3,1,5,7,4,2
5: 7,3,1,6,5,2,4
5: 7,6,2,5,4,3,1
5: 7,1,5,2,6,3,4
5: 7,6,5,3,4,1,2
5: 7,6,5,2,4,3,1
5: 7,4,6
5: 3,4,1,5,2,7,6
5: 3,5,2,6,1,7,4
5: 3,7,2,1,5,6,4
5: 3,7,6,5,2,4,1
5: 3,4,2
5: 3,6,5,2,1,7,4
5: 6,1,5,3,2,4,7
5: 6,7,4,5,3,2,1
5: 6,2,5,1,7,3,4
5: 7,6,2,3,5,4,1
5: 7,1,5,2,4,3,6
5: 1,6,5,7,3,2,4
5: 1,7,6,3,5,2,4
5: 3,7,6,5
5: 6,4,5,2,1,3,7
5: 7,1,6,3,2,5,4
5: 7,3,2,1,4,5,6
5: 1,6,7,5,2,4,3
5: 3,7,2,1,4,5,6
5: 3,7,6,2,5,4,1
5: 6,3,5,7
5: 3,4,2,5,7,6,1
5: 7,5,1,2,6,3,4
5: 7,5,1,6,2,3,4
5: 7,5,1,3,6,2,4
5: 7,5,4,2,1,3,6
5: 1,6,7,3
5: 3,5,7,6,2,1,4
5: 7,6,1,4,5,2,3
5: 5,6,2,1,4,7,3
5: 3,7,6,2,1,4,5
5: 7,3,6,4,2,1,5
5: 7,5,2,1,4,6,3
5: 3,2,7,6,5,4,1
5: 7,6,2,1
5: 7,5,6,3,1,2,4
5: 7,5,2
5: 3,2,5,4,1,6,7
4: 1,7,6,3
4: 3,7,2,1,5,4,6
4: 3,7,5,1,2,6,4
4: 3,1,4,5,2,7,6
4: 3,6,7,5,1,4,2
4: 3,6,7,4,1,2,5
4: 6,5,7,1,4,2,3
4: 6,5,2,3,7,1,4
4: 6,2,1,5,7,3,4
4: 7,1,6,3,5,4,2
4: 7,3,2,6,1,5,4
4: 7,5,2,1,6,3,4
4: 7,3,2,6,5,1,4
4: 7,1,5,6,4,2,3
4: 3,7,6,4,5,2,1
4: 3,6,2,5,1,7,4
4: 3,6,7,5
4: 6,1,5,7,3
4: 6,3,5,4,1,2,7
4: 6,7,3,5,4,1,2
4: 6,1,3,5,7,2,4
4: 6,1,5,2,7,4,3
4: 7,3,5,2,1,6,4
4: 7,1,3,2,5,4,6
4: 7,6,1,2
4: 5,6,7,1,3,2,4
4: 5,6,2,1,7,3,4
4: 3,7,2,5,6,1,4
4: 3,4,6,5,2,1,7
4: 3,6,5,7,4,2,1
4: 3,2,1
4: 3,6,5,7
4: 6,3,7,4,1,5,2
4: 6,3,7,4,5,1,2
4: 6,1,7,3,2,4,5
4: 6,3,7,1,5,4,2
4: 7,3,6,2,5,4,1
4: 7,2,6,3,1,4,5
4: 7,5,2,4,3,1,6
4: 6,1,2,7,5,4,3
4: 6,3,4,5,2,1,7
4: 1,6,3
4: 1,6,7,3,5,4,2
4: 7,2,1,5,6,3,4
4: 7,3,1,5,4,6,2
4: 7,5,6,2,3,4,1
4: 7,4,3,6,1,2,5
4: 7,1,2,5,3,4,6
4: 7,3,4,5,2,1,6
4: 3,1,2,7,4,5,6
4: 3,6,1,4,5,2,7
4: 3,6,7,5,4,1,2
4: 5,6,3
4: 5,6,7,2,1,4,3
4: 3,4,7
4: 3,1,7,6,5,4,2
4: 3,1,2,7,5,4,6
4: 3,5,4,2,7,6,1
4: 3,7,6,1
4: 3,7,4,5,6,2,1
4: 3,5,2,1,6,7,4
4: 3,1,5,6,2,7,4
4: 3,1,2,5,6,4,7
4: 3,6,2,7,5,1,4
4: 6,1,5,4,2,3,7
4: 6,5,3,7,1,2,4
4: 6,3,4,7,5,2,1
4: 6,5,7,4,3,2,1
4: 7,6,2,3
4: 7,6,5,2,1,3
4: 7,1,6,3,2,4,5
4: 7,3,4
4: 3,7,2,6,4,5,1
4: 4,3,7
4: 7,3,5
4: 3,2,1,5,6,4,7
4: 3,6,5,7,2,1,4
4: 5,6,2
4: 6,2,5
4: 6,7,3,1,4,5,2
4: 7,6,5,4,3,1,2
4: 7,6,3,1,4,2,5
4: 3,7,5,2,1,6,4
4: 7,1,6,2,5,3,4
4: 7,3,5,1,2,4,6
4: 7,5,1,6,3,2,4
4: 6,5,1,3,7,2,4
4: 6,3,7,2,5,4,1
4: 7,6,1,2,4,3,5
4: 3,1,6,7,5,4,2
4: 3,4,5,6,7,2,1
4: 3,2,5,1,7,6,4
4: 3,2,5,7,6,1,4
4: 6,1,2
4: 6,1,5,2,3,4,7
4: 6,7,5,2,4,3,1
4: 6,3,2,1,7,5,4
4: 6,7,2,1
4: 7,6,5,2,1
4: 3,7,5,1,2,4,6
4: 7,3,5,2,1,4,6
4: 3,2,5
4: 1,6,2,5,3,7,4
4: 7,1,6,2,3,5,4
4: 6,5,3
4: 6,7,5,3,1,4,2
4: 1,6,7,2,5,3,4
4: 3,7,2,6,5,1,4
4: 3,6,2,7,4,1,5
4: 5,7,6,1,3,2,4
4: 6,5,1,3,2,4,7
4: 3,4,2,6,7,5,1
4: 5,7,6,3,2,1,4
4: 6,5,7,1,4,3,2
4: 2,3,5,4,6,7,1
4: 3,6,4,7,2,1,5
4: 6,3,7,5,2,4,1
4: 7,6,3,4,2,5,1
4: 3,1,5,6,7,4,2
4: 5,2,1,6,3,7,4
4: 3,7,6,4,1,2,5
3: 1,7,6,2,3,4,5
3: 1,5,7,6,3,2,4
3: 1,6,7,3,2,4,5
3: 2,3,4,7,6,5,1
3: 3,7,5,6,4,2,1
3: 3,7,1,5,4,2,6
3: 3,1,2,5,7,4,6
3: 3,2,4,6,5,1,7
3: 3,5,6,2,7,1,4
3: 3,6,2,1,7,5,4
3: 5,7,6,1,3,4,2
3: 6,3,1,5,4,2,7
3: 6,2,7,1,5,4,3
3: 6,3,1,5,4,7,2
3: 6,1,3,5
3: 6,2,5,4,1,3,7
3: 7,6,5,2,3,4
3: 7,6,5,1,2,3
3: 7,4,3,2,1,5,6
3: 7,1,3,6,5,2,4
3: 7,3,5,6,1,2,4
3: 7,5,1,6,4,2,3
3: 7,3,6,5,1,4,2
3: 7,3,6,1,4,5,2
3: 7,3,6,4,1,5,2
3: 7,3,4,5,1,2,6
3: 7,2,3,4,5,1,6
3: 7,2,3,6,5,1,4
3: 1,5,6
3: 1,6,3,7,5,2,4
3: 3,7,1,4,2,5,6
3: 3,2,5,4,1,7,6
3: 3,4,2,7,1,5,6
3: 3,5,1,2,7,6,4
3: 3,7,5,2,6,1,4
3: 3,6,1,7,2,5,4
3: 3,5,2,4,1,6,7
3: 3,5,1,2,6,4,7
3: 3,1,6,7,2,4,5
3: 3,1,6,7,2,5,4
3: 3,4,5,6,7,1,2
3: 3,6,4
3: 3,5,7
3: 3,1,2
3: 6,3,5,2,7,1,4
3: 6,7,4,3,5,1,2
3: 6,5,7,2,4,1,3
3: 6,2,5,1,4,7,3
3: 6,5,1,7,4,2,3
3: 6,7,2,5,3,4,1
3: 6,3,5,1,7,2,4
3: 6,5,3,7,4,2,1
3: 6,7,4,3,1,2,5
3: 6,2,5,7
3: 6,1,7,2,3,4,5
3: 7,3,1,4,6,5,2
3: 7,6,5,1,3
3: 7,2,6,3,5,1,4
3: 7,5,2,6,1,4,3
3: 7,1,5,2,6,4,3
3: 7,5,1,6,4,3,2
3: 7,1,3,6,2,5,4
3: 6,3,7,4,2,5,1
3: 7,1,6,5,4,3,2
3: 7,4,3,1,2,5,6
3: 6,2,1,7,5,3,4
3: 6,3,2,7
3: 6,5,1,7,4,3,2
3: 6,7,2,4,5,1,3
3: 6,7,2,1,4,5,3
3: 6,3,5,2,1,7,4
3: 7,2,3,5,4,6,1
3: 7,5,1,2,4,3,6
3: 7,3,1,2,5,4,6
3: 7,5,1,2,3,4,6
3: 7,3,1,2,5,6,4
3: 7,2,1,6,5,4,3
3: 3,4,7,1,2,5,6
3: 3,1,5,4,2,6,7
3: 3,6,5,7,4,1,2
3: 3,6,2,5,4,1,7
3: 3,6,7,1,4,2,5
3: 5,6,7,3,1,2,4
3: 5,6,1,2,3,4,7
3: 2,3,7,6,5,4,1
3: 3,1,7
3: 3,2,7,1,5,4,6
3: 3,7,5,4,2,1,6
3: 3,1,5,7,6,4,2
3: 3,1,7,5,2,6,4
3: 3,6,1,7
3: 3,5,1,2,6,7,4
3: 3,1,6,2,5,4,7
3: 3,6,2,1,7,4,5
3: 3,2,4,5,6,1,7
3: 3,2,6,4,5,1,7
3: 6,2,3,5
3: 6,3,1,5
3: 6,7,1,2,4,3,5
3: 6,7,2,5,4,3,1
3: 7,2,1,3,5,4,6
3: 7,6,3,4,5,1,2
3: 7,1,6,5,3,4,2
3: 7,4,2,1,5,3,6
3: 7,2,1,5,3,4,6
3: 7,1,6,2,5,4,3
3: 7,3,1,6
3: 7,3,4,6,5,2,1
3: 1,6,7,5,4,3,2
3: 1,7,6,5,3,4,2
3: 3,7,5,6,1,2,4
3: 3,2,4
3: 3,1,2,4,6,7,5
3: 3,6,5,4,7,2,1
3: 3,6,7,1,4,5,2
3: 3,1,5,2,4,7,6
3: 3,2,1,7,4,5,6
3: 5,6,3,7
3: 5,6,1
3: 5,6,1,7,3,2,4
3: 6,5,1,2,3,4,7
3: 6,5,1,2,4,3,7
3: 6,3,2,4,7,5,1
3: 6,1,3,2
3: 6,7,3,4
3: 6,7,4,5,2,1,3
3: 6,2,5,1,3,7,4
3: 7,3,5,2,6,1,4
3: 7,5,2,3,4,1,6
3: 7,1,5,6,2,4,3
3: 7,5,4,3,2,1,6
3: 7,1,2,3,6,5,4
3: 4,3,7,2,1,6,5
3: 5,7,6,3,1,2,4
3: 6,7,4,2,5,1,3
3: 6,7,3,1,5
3: 7,6,3,2,4,1,5
3: 7,5,4,6
3: 7,6,4,3,2,1,5
3: 3,1,5,6,7,2,4
3: 6,7,2,4,3,5,1
3: 6,3,1,4,2,5,7
3: 7,2,3,1,4,5,6
3: 1,6,5,3,7,2,4
3: 1,7,6,3,5,4,2
3: 3,6,1,5,7,2,4
3: 3,5,2,1,6,4,7
3: 3,2,5,7,1,4,6
3: 3,7,6,1,4,5,2
3: 7,2,3,4,5,6,1
3: 7,1,6,2,3,4,5
3: 1,3,6,7,5,2,4
3: 1,3,6,7,2,4,5
3: 5,1,6,7,3,2,4
3: 3,5,2,7,6,4,1
3: 3,2,6,5,4,1,7
3: 3,4,6,7,5,1,2
3: 3,2,7,1,4,5,6
3: 3,1,4,2,5,6,7
3: 3,2,5,6,7,1,4
3: 3,7,6,1,4,2,5
3: 6,5,2,1,7,4,3
3: 6,3,4,7
3: 6,2,5,7,3,1,4
3: 7,2,6,5,1,4,3
3: 7,6,5,4,3
3: 7,3,2,5,1,6,4
3: 7,5,6,4,2,1,3
3: 7,4,3,6
3: 1,7,6,5,4,3,2
3: 3,1,2,7,6,5,4
3: 3,4,5
3: 6,3,2,5,1,4,7
3: 1,3,2,5,6,7,4
3: 3,4,5,6,7
3: 6,3,1,7,5,4,2
3: 6,3,7,5,1,4,2
3: 7,3,6,2,4,5,1
3: 1,2,6
3: 3,6,2,7,1,5,4
3: 4,3,2,1,5,6,7
3: 6,7,2,3,4,5,1
3: 6,3,4,5,7,2,1
3: 6,3,1,4,5,2,7
3: 5,1,2,6,7,3,4
3: 3,6,2,5,7,1,4
3: 7,1,2,3,5,4,6
3: 6,5,1,2
3: 6,5,7,2,3,4,1
3: 6,3,4,5,1,2,7
3: 6,5,7,3,2,4,1
3: 3,4,7,2,1,5,6
3: 3,7,2,4,1,5,6
3: 7,6,1,3,4,2,5
3: 7,5,6,1,4,2,3
3: 7,2,5
3: 7,6,4,5,3,1,2
3: 3,5,6,1,2,4,7
3: 6,2,1,3,5,7,4
3: 7,5,3,2,1,4,6
3: 1,7,3,6
3: 6,7,3,1,4,2,5
3: 6,7,4,1,5,3,2
3: 5,6,7,2,3,4,1
3: 6,5,2,1,4,3,7
3: 6,2,1,5,3,7,4
3: 7,2,3,1,5,4,6
3: 3,2,5,6,4,7,1
3: 2,4,5,1,7,3,6
3: 4,3,7,2,1,5,6
3: 7,2,6,4,5,3,1
3: 3,5,7,6,1,2,4
3: 7,6,3,4,1,2,5
3: 7,6,5,4,3,2
3: 3,1,4,5,6,7,2
3: 4,3,7,6,1,2,5
3: 6,7,2,4,1,5,3
3: 7,1,5,2,3,6,4
3: 7,3,2,6,5,4,1
3: 3,4,1,2,7,5,6
3: 3,1,6,7,5,2,4
3: 3,5,7,1,2,6,4
3: 5,7,6,2,3,1,4
3: 1,3,2,4,5,6,7
3: 1,3,7
3: 5,6,7,2,4,1,3
3: 6,5,2,1,4,7,3
3: 3,5,4,2,1,7,6
3: 3,5,1,2,4,6,7
3: 3,5,6,2,1,7,4
2: 1,7,2,5,6,3,4
2: 1,7,3,6,5,2,4
2: 1,3,6,7,2,5,4
2: 1,2,6,5,3,7,4
2: 1,6,3,2,5,4,7
2: 2,7,6,3,5,1,4
2: 2,3,7,6,5,1,4
2: 3,7,6,2,4,1,5
2: 3,7,6,4,1,5,2
2: 3,6,1,2,5
2: 3,6,1,5
2: 3,1,7,5,6,2,4
2: 3,1,6,2,7,5,4
2: 3,4,7,2,6,1,5
2: 3,4,7,2,1,6,5
2: 3,4,7,5,6,2,1
2: 3,5,6,1,2,7,4
2: 3,5,6,4,2,1,7
2: 3,5,2,6,4,1,7
2: 3,6,2,7
2: 6,7,1,4,3,2,5
2: 6,7,4,2,5,3,1
2: 6,1,2,3,5,7,4
2: 6,7,5,4,1,3,2
2: 6,5,3,1,2,4,7
2: 6,5,7,3,1,4,2
2: 6,1,3,2,5,4,7
2: 6,3,2,4,1,5,7
2: 6,1,2,5
2: 7,1,2,6
2: 7,3,5,1
2: 7,2,6,3,5,4,1
2: 7,6,2,3,1,4,5
2: 7,3,2,5,6,1,4
2: 7,6,4,2,1,3,5
2: 7,5,6,3,4,2,1
2: 7,2,1,4,5,3,6
2: 7,3,6,4,5,1,2
2: 7,2,5,6,3,1,4
2: 7,5,3,1,2,4,6
2: 7,6,4,1,2,5,3
2: 1,5,6,2,3,7,4
2: 1,3,5
2: 1,5,7
2: 1,7,6,5
2: 2,6,5
2: 2,5,6
2: 3,1,7,2,5,6,4
2: 3,1,4,2,5,7,6
2: 3,2,6,7,5,4,1
2: 3,1,5,6,2,4,7
2: 3,1,6,5,2,7,4
2: 3,4,6,1,2,5,7
2: 3,6,2,7,4,5,1
2: 3,6,1,7,5,2,4
2: 3,5,4
2: 3,6,5,1,7
2: 3,2,5,6
2: 3,1,2,5,6,7
2: 3,6,7,5,2,1
2: 3,7,1
2: 4,3,2
2: 4,3,2,5,1,7,6
2: 4,7,6,5,3,2,1
2: 5,6,3,7,1,2,4
2: 5,4,7,6,2,1,3
2: 6,3,2,4,5,1,7
2: 6,5,4,2,1,3,7
2: 6,3,5,7,2,4,1
2: 6,3,4,7,1,2,5
2: 6,1,2,3,7,5,4
2: 6,7,5,3,1
2: 7,1,3,4,2,5,6
2: 7,1,2,4,5,3,6
2: 7,3,6,2
2: 7,2,6,3,1,5,4
2: 7,6,2,5,4,1
2: 7,2,5,1,6,4,3
2: 3,1,7,2,4,5,6
2: 3,4,7,1,5,2,6
2: 3,6,7,4,2,1,5
2: 3,1,6,5,7,2,4
2: 6,2,3,7,5,4,1
2: 6,5,7,4,2,1,3
2: 6,2,7,1,3,4,5
2: 6,2,4,1,5,7,3
2: 6,7,1,4,2,3,5
2: 6,1,2,7,3,5,4
2: 7,1,3,6,5,4,2
2: 7,3,2,4,1,5,6
2: 7,2,1,3,4,5,6
2: 6,7,2,1,5
2: 6,3,2,5,7,1,4
2: 6,5,3,2,7,4,1
2: 6,5,7,1,2
2: 6,5,3,2,7,1,4
2: 6,2,3,1
2: 6,7,5,4,2,3,1
2: 6,2,3
2: 6,4,5,7,3,1,2
2: 1,2,3,5,6,7,4
2: 1,6,5,7,4,3,2
2: 2,7,6,5
2: 4,3,2,1,5,7,6
2: 7,4,5,6,3,2,1
2: 7,2,5,4,1,3,6
2: 7,3,5,6,4,2,1
2: 7,1,5,3,2,6,4
2: 7,5,3,1,2,6,4
2: 7,3,5,4,1,2,6
2: 7,3,1,2,6,5,4
2: 3,7,2,6,1,5,4
2: 3,6,1,5,2,7
2: 3,6,5,4,1,2,7
2: 3,6,5,7,2,4,1
2: 1,5,6,3,7,2,4
2: 5,6,7,3,2,4,1
2: 2,4
2: 2,7,6,5,4,3,1
2: 2,3,1,5,4,6,7
2: 2,5,6,7
2: 3,7,4,5,6,1,2
2: 3,2,7,4,1,5,6
2: 3,4,5,1,2,7,6
2: 3,5,2,7,6,1,4
2: 6,5,2,7
2: 6,1,5,3,4,2,7
2: 6,3,1,7,2,4,5
2: 6,3,4,1,5,2,7
2: 6,2,1,7,5,4,3
2: 7,5,1,4,2,3,6
2: 7,3,1,5
2: 7,5,3,4,2,1,6
2: 7,5,6,3
2: 1,6,7,3,4,5,2
2: 1,7,6,2,5,3,4
2: 1,5,2,7,6,4,3
2: 1,7,6,5,2,4,3
2: 1,3,5,6,7,4,2
2: 1,2,5,6,7,3,4
2: 1,6,7,5,2
2: 2,3,1,4,5,7,6
2: 3,7,1,5,2,6,4
2: 3,1,5,7,2,4,6
2: 3,2,7,6,4,1,5
2: 3,2,5,7,6,4,1
2: 3,1,4,2,7,6,5
2: 5,1,6,7,2,3
2: 5,3,1,2,6,7,4
2: 5,1,7
2: 6,5,7,4,2,3,1
2: 6,7,2,3,5,4,1
2: 6,2,7,1,5,3,4
2: 6,7,3,2
2: 6,1,7,5,2,3
2: 6,1,2,3
2: 6,5,7,1,2,3
2: 6,3,5,7,1,4,2
2: 7,3,2,5,4,1,6
2: 7,5,3,2,6,4,1
2: 7,2,1,6,3,5,4
2: 3,4,5,6,2,1,7
2: 4,3,7,2,5,6,1
2: 4,3,5,2,1,7,6
2: 4,3,7,1,2,6,5
2: 5,1,6,7,2,4,3
2: 6,5,7,2
2: 6,2,3,7,5,1,4
2: 6,1,7,4,3,5,2
2: 6,7,1,2,4,3
2: 6,7,1,2,5
2: 6,5,2,1
2: 6,7,2,4,3,1,5
2: 7,1,2,3,5,6,4
2: 7,3,1,6,2,5,4
2: 7,4,2
2: 7,2,1,5,3,6,4
2: 6,1,4
2: 3,4,2,1
2: 3,1,6,2,7,4,5
2: 3,1,7,5,4,2,6
2: 4,3,5,1,2,6,7
2: 5,6,1,2,4,7,3
2: 6,7,5,2,4,3
2: 7,5,2,1
2: 1,6,3,5,7,2,4
2: 1,3,6,7
2: 1,4
2: 2,5,7,6,3,1,4
2: 2,3,4,5,1,6,7
2: 3,6,7,1
2: 3,7,5,1,6,2,4
2: 3,5,4,1,2,7,6
2: 3,6,7,4,1,5,2
2: 3,2,1,5,7,6,4
2: 3,2,1,6,5,4,7
2: 6,3,7,1,5,4
2: 6,5,1,4,2,3,7
2: 6,7,1,3,4,2,5
2: 6,5,2,4,1,3,7
2: 7,3,5,4,2,6,1
2: 7,5,1,2
2: 7,6,4,3
2: 7,1,5,6,3,4,2
2: 7,5,2,6,4,3,1
2: 7,5,2,1,3,4,6
2: 7,3,5,2,4,1,6
2: 7,3,4,6
2: 7,5,4
2: 7,1,6,5,2
2: 7,3,2,6
2: 7,3,2,4,6,5,1
2: 7,4,5,6,1,2,3
2: 1,3,4
2: 1,5,6,2,7,3,4
2: 1,6,5,2,4,3,7
2: 1,5,3,2,4,6,7
2: 1,6,5,7,2,4,3
2: 2,1,4,3,5,6,7
2: 4,2,1,5,6,7,3
2: 4,6
2: 5,1,6,3,7,2,4
2: 5,7,3,4,1,2,6
2: 5,7,6,1,2,4,3
2: 3,5,6,2,7,4,1
2: 3,2,5,4,6,7,1
2: 3,1,5,7,2,6,4
2: 3,2,1,6,7,5,4
2: 3,6,7,4
2: 3,4,6,1,5,2,7
2: 3,6,4,1,5,7,2
2: 3,6,5,2,7,4,1
2: 3,6,4,5,7,2,1
2: 3,6,7,2
2: 3,2,6,1,4,5,7
2: 3,7,6,5,1,4,2
2: 3,1,7,4,6,5,2
2: 6,3,7,5,2,1
2: 6,7,1,4,2,5,3
2: 6,1,5,2,7
2: 6,1,2,5,3,7,4
2: 6,3,7,4
2: 6,3,4,2,1,5,7
2: 7,3,2,6,4,5,1
2: 7,2,1,6,5,3,4
2: 7,6,4,5,2,3,1
2: 7,1,2,3
2: 3,6,5,1,7,2,4
2: 3,6,2,5,7,4,1
2: 3,6,1,4,2,5,7
2: 5,6,7,4,3,2,1
2: 6,5,3,2,1,7,4
2: 6,1,2,3,5,4,7
2: 6,3,7,2
2: 1,3,5,2,6,7,4
2: 1,2,3,4,5,7,6
2: 3,4,2,5,6,1,7
2: 3,2,4,5,6,7,1
2: 6,3,7,1,5
2: 6,3,1,4,7,5,2
2: 7,6,5,3,1,4
2: 7,4,5,3,2,6,1
2: 7,1,5,3,6,4,2
2: 1,7,6,5,4,3
2: 2,3,1,4,5,6,7
2: 2,3,1,5,4,7,6
2: 5,2,6
2: 6,7,5,1,2,3
2: 6,5,4,3,1,2,7
2: 6,5,1,4,3,7,2
2: 6,4,7,5,1,2,3
2: 6,1,3,7,4,5,2
2: 6,3,4,2,7,5,1
2: 6,1,3,5,2,4,7
2: 7,2,1,5,4,3,6
2: 7,6,5,4,1,3,2
2: 7,3,2,4,6,1,5
2: 7,1,4,2,3,5,6
2: 7,1,3
2: 7,2,5,6,1,3,4
2: 7,2,3,6,4,5,1
2: 5,7,6,4,3,2,1
2: 3,7,1,4,5,6,2
2: 3,5,2,7,1,6,4
2: 6,2,1,5,4,3,7
2: 6,1,2,5,4,3,7
2: 6,4,7,3
2: 6,7,4,1,5,2,3
2: 6,5,1,7,2
2: 7,3,2,5,1,4,6
2: 7,4,1,2
2: 7,6,5,1,3,2
2: 7,3,6,5
2: 6,5,2,3,7
2: 6,3,5,4,7,1,2
2: 6,2,3,5,1,4,7
2: 6,1,4,7
2: 6,1,7,4,2,5,3
2: 1,6,3,7
2: 1,3,2,5,7,6,4
2: 3,7,2,4,5,6,1
2: 3,7,1,2,6,4,5
2: 3,6,4,5,2,7,1
2: 4,3,7,2,6,5,1
2: 7,2,1
2: 7,3,4,6,2,1,5
2: 7,5,2,1,3,6,4
2: 7,2,5,6,1,4,3
2: 7,4,2,6,5,1,3
2: 2,1,3,7,4,5,6
2: 2,6,7
2: 3,7,2,5,1,4,6
2: 3,7,4,5,1,2,6
2: 3,7,4,2,5,6,1
2: 7,2,1,4,5,6,3
2: 7,6,3,5,4,2
2: 3,4,7,6,2,5,1
2: 3,6,5,4,7,1,2
2: 5,7,6,3,4,1,2
2: 7,3,2,6,1,4,5
2: 7,1,4,2,6,3,5
2: 7,1,2,6,5,4,3
2: 7,5,4,6,3,2,1
2: 7,3,2,1,5,6,4
2: 2,4,3,1,5,7,6
2: 3,5,1,7,4,2,6
2: 6,5,3,1
2: 7,5,2,6,4,1,3
2: 7,2,1,5
2: 2,7,6
2: 2,6,3
2: 7,6,3,2,1,4
2: 3,5,2,4,6,7,1
2: 6,3,2,7,1,5,4
2: 6,3,7,2,1,4,5
2: 7,6,4,2,3,5,1
2: 7,6,3,1,4,5,2
2: 2,7,3,6,1,4,5
2: 3,5,7,2,1,4,6
2: 3,1,4,6,7,2,5
2: 5,7,3,2,4,6,1
2: 6,5,1,4,2,7,3
2: 6,7,4,2,1,3,5
2: 6,7,1,5,3
2: 6,7,4,3,1,5,2
2: 2,4,7
2: 5,2,6,1,7,3,4
2: 7,1,2,5,4,6,3
2: 3,5,2,7,6,1
2: 3,4,1,2,6,7,5
2: 5,2,3,6,1,4,7
2: 6,2,7,3,5,1,4
2: 2,3,4,6,5,1,7
2: 3,7,5,6,1,4,2
2: 3,7,4,6,5,2,1
2: 3,6,2,1
2: 4,6,5,7,3,1,2
2: 5,7,6,4,1,2,3
2: 6,3,7,4,1,2,5
2: 6,3,2,5,7,4,1
2: 7,3,4,1
2: 7,2,1,3,6,5,4
2: 7,3,5,1,6,2,4
2: 3,6,2,4,5,1,7
2: 3,6,1,5,7,4,2
2: 6,3,7,4,2,1,5
2: 6,2,1,3,4,5,7
2: 6,2,7,3,4,5,1
2: 7,4,6,5,2,1,3
2: 2,1,5,6,3,7,4
2: 3,4,6,7,1,2,5
2: 3,2,1,4,7,5,6
2: 5,6,1,7,2,4,3
2: 5,1,6,7,3,4,2
2: 6,1,7,2,5,4,3
2: 6,2,5,7,4,3,1
2: 7,5,6,4,1,2,3
2: 7,5,6,2,4,1,3
2: 3,2,7,6
2: 1,2,3,7,6,4,5
2: 2,6,7,5,1,3,4
2: 3,2,5,6,1,7,4
2: 3,5,2,6,7,1,4
2: 3,1,6,4,7,5,2
2: 1,6,5,2,7,3,4
2: 5,6,1,2,3,7,4
2: 6,3,2,7,4,5,1
2: 7,4,3,6,2,5,1
2: 7,6,2,4,1,5,3
2: 1,6,2,7,5,3,4
2: 3,7,4,6,5,1,2
2: 5,6,7,2,3,1,4
2: 2,7,6,3,1,5,4
2: 3,7,1,5,4,6,2
2: 3,1,4,5,2,6,7
2: 5,2,1,6,4,3,7
2: 6,5,3,1,7,2,4
2: 7,3,4,5,6,1,2
2: 2,3,7
2: 3,7,2,6,5,4,1
2: 1,2,4
2: 7,3,6,2,5,4
2: 3,4,2,5,6,7,1
2: 3,2,5,4,7,6,1
2: 3,5,4,1,2,6,7
2: 3,2,7,5,6,4,1
2: 6,7,5,2,3,4
2: 5,6,1,2,7,4,3
2: 7,2,5,3,6,4,1
2: 3,7,2,6,4,1,5
2: 7,3,4,5,2,6,1
2: 5,3,7,6,2,1,4
2: 6,7,2,3,4,5
2: 3,6,7,5,2,4
2: 3,5,6,2,4,7
2: 3,2,1,4,6,5,7
2: 6,2,3,1,4,5,7
2: 6,7,5,4,3,2
2: 7,6,1,4,5,3,2
2: 3,2,7,6,1,4,5
2: 4,7,3,2,6,1,5
1: 1,7,3,6,2,4,5
1: 1,2,3,6,5,7,4
1: 1,3,7,6
1: 2,7,6,3,5,4,1
1: 2,1,3,7,5,4
1: 2,1,3,7,5,4,6
1: 3,7,1,2,6,5,4
1: 3,7,1,6,4,2,5
1: 3,1,2,6,7,4,5
1: 3,5,6,7,2,4,1
1: 4,7,6,5,3,1,2
1: 4,7,3,2,5,6,1
1: 4,7,1,5,2,6,3
1: 5,3,1
1: 5,4,3,7
1: 5,7,6,1,2,3
1: 5,3,4,2,7,6,1
1: 5,3,2,6,7,1,4
1: 5,3,2,4,1,7,6
1: 5,1,3,7,6,2,4
1: 5,7,2,6,1,3,4
1: 5,6,4,7,3,2,1
1: 6,2,5,7,4,1,3
1: 6,1,2,4,3,5,7
1: 6,5,2,7,4,1,3
1: 6,7,3,2,4,1
1: 6,5,1,3,7
1: 6,7,3,1,5,4
1: 6,7,1,2,3
1: 6,7,4,2
1: 6,5,7,3,2,1
1: 7,4,2,3
1: 7,4,3
1: 7,6,1,3,5,4
1: 7,5,3,1
1: 7,3,1,5,4,2,6
1: 7,6,1,4,3,5,2
1: 7,1,4,5,6,2,3
1: 7,6,4,3,1,2,5
1: 7,1,5,6,4,3,2
1: 7,4,6,3,2,5,1
1: 1,5,2,6,7,3,4
1: 1,3,5,2,6,4,7
1: 1,6,5,7,4,2,3
1: 1,5,6,2,4,7,3
1: 1,2,6,3,7,5,4
1: 1,7,6,3,4,5,2
1: 1,5,7,6,2,3,4
1: 1,7,5,6
1: 1,3,7,6,5,2,4
1: 1,3,7,5,6,2,4
1: 1,2,5,4,7,6,3
1: 2,1,3
1: 2,3,7,5,6,4,1
1: 2,1,4,3,7,6,5
1: 2,1,3,5,4,6
1: 2,1,5,6,4,3,7
1: 2,6,1,5,4
1: 3,4,7,5,1,6,2
1: 3,2,7,6,4,5,1
1: 3,2,6,7,4,5,1
1: 3,2,6,1,7,4,5
1: 3,2,6,4,5,7,1
1: 3,4,5,1,6,2,7
1: 3,4,6,7,2,1,5
1: 4,1,7
1: 4,7,3
1: 4,7,6,1,3,5,2
1: 4,6,7,1,3,2
1: 4,3,6,7
1: 4,6,7,5,2,3,1
1: 4,3,6,7,1,5,2
1: 4,5,6,7,3,2,1
1: 5,6,1,3,4,2,7
1: 5,6,3,4,2,7,1
1: 5,1,6,3,2,7,4
1: 5,4,6,1,3,2,7
1: 5,4,2,1,6,3,7
1: 6,7,5,1,4
1: 6,3,1,2
1: 6,3,7,1,2,5
1: 6,2,4
1: 6,2,5,1,3,4,7
1: 6,1,3,2,5,7,4
1: 6,3,2,1,7,4,5
1: 6,1,4,7,5,2,3
1: 7,1,4,6
1: 7,2,3
1: 7,2,5,1
1: 7,6,1,4
1: 7,2,5,4,1,6,3
1: 7,6,4,1
1: 7,2,1,5,4,6,3
1: 7,3,4,5,6,2,1
1: 7,6,2,1,3,4
1: 7,4,1,2,6,5,3
1: 1,6,5,4,2,7,3
1: 1,3,4,5,6,7
1: 2,4,6,7,5,1,3
1: 2,4,3,5,6,1,7
1: 2,6,3,5,1,4,7
1: 4,3,5,7,2,1,6
1: 4,7,2
1: 5,1,2,3,4,7,6
1: 5,7,2,1,6,3,4
1: 3,7,5,1,4,2,6
1: 3,2,6,5,7,4,1
1: 3,6,1,4,5,7,2
1: 3,1,7,6
1: 3,4,7,1,2
1: 6,4,2,7,1,3,5
1: 6,1,4,2,5,7,3
1: 7,3,2,5,6,4,1
1: 7,1,6,4,2,5,3
1: 7,2,1,4,3,6,5
1: 7,3,1,6,2,4,5
1: 6,7,4,1,2,5,3
1: 6,3,4,1,7,2,5
1: 6,2,3,7,1,4,5
1: 6,4,1,2,3,5,7
1: 6,7,4,2,3,1,5
1: 6,4,7,2,1,3,5
1: 6,2,3,5,1,7,4
1: 6,3,2,5
1: 6,1,2,7,3,4,5
1: 1,3,2,7,5,4,6
1: 1,3,6,5,2,4,7
1: 1,2,6,5,7,3,4
1: 1,5,2,4,6,7,3
1: 1,5,3,2,7,6,4
1: 1,7,3,2,4,5,6
1: 2,5,6,3,1,7,4
1: 2,5,1,6,7,3,4
1: 4,2,7,3,1,5,6
1: 5,7,3,2,1,4,6
1: 5,7,2,4,3,1,6
1: 5,2,4,1,6,7,3
1: 7,2,5,4,6,3,1
1: 7,4,5,1
1: 7,1,3,2
1: 7,3,1,5,2,4,6
1: 7,4,6,3,5,1,2
1: 7,5,1,4,3,2,6
1: 7,4,1,3,2,6,5
1: 7,5,3,2,6,1
1: 7,4,6,1,2,3,5
1: 7,2,6,5,1
1: 7,2,3,4
1: 3,4,7,2,6,5,1
1: 3,6,4,5,1,7,2
1: 3,6,2,4,7,5,1
1: 3,4,1,6,5,2,7
1: 3,2,1,6,4,5,7
1: 3,6,2,1,4,7,5
1: 1,3,6,2,5,7,4
1: 1,6,7,4,2,3,5
1: 1,3,6,7,4,5,2
1: 1,3,4,5,6,7,2
1: 5,1,6,7,4,2,3
1: 5,1,6,3,2,4,7
1: 5,6,7,1,2,3
1: 5,1,6,3,7,4,2
1: 5,7,2,3,1,4,6
1: 2,5,1,7,6,4,3
1: 4,7,5,3,6,2,1
1: 4,7,3,2,1,5,6
1: 4,6,7,2,1,5,3
1: 4,3,6,7,5,1,2
1: 3,4,5,1,7,6,2
1: 3,7,1,5,6,2,4
1: 3,4,5,7,6,1,2
1: 3,4,1,2
1: 3,4,2,5
1: 3,7,5,4,6,1,2
1: 3,4,1,5,6,7,2
1: 3,6,7,2,1,4
1: 3,4,6,7,1,5,2
1: 3,2,4,1,6,7
1: 3,5,6,4,2,7,1
1: 3,2,4,1,6,5,7
1: 3,6,5,1,4,7
1: 3,6,4,1,2,5,7
1: 6,1,5,3,7,2
1: 6,2,1,3,5,7
1: 6,1,3,7,2,4,5
1: 6,5,3,2,1,4,7
1: 6,5,2,3,7,4,1
1: 6,2,1,7
1: 6,5,2,3,7,1
1: 6,7,3,5,1
1: 6,2,3,1,7,5,4
1: 6,2,5,1
1: 6,7,1,4,5,3,2
1: 7,2,1,4,6,5,3
1: 7,1,3,2,5,6,4
1: 7,5,3,2,1,6,4
1: 7,2,5,1,4,3,6
1: 7,5,1,6,3
1: 7,1,6,4,5,2,3
1: 7,3,2,1,4,6,5
1: 7,3,6,1,2,4
1: 1,6,3,5
1: 1,6,7,5,4,2,3
1: 1,6,7,2,3,4,5
1: 1,5,6,7,4,3,2
1: 1,3,6,2,7,5,4
1: 1,2,5,6,4,3,7
1: 1,5,6,2,7,4,3
1: 1,2,3,6,7,5,4
1: 1,6,3,5,2,4,7
1: 2,1,4,3,5,7,6
1: 2,3,6,7,4,5,1
1: 2,6,7,5,1,4,3
1: 2,6,7,1
1: 3,5,1,6,2,7,4
1: 3,4,7,5,6,1,2
1: 3,1,5,2
1: 3,4,7,6,1,5,2
1: 3,1,7,2,6
1: 3,7,2,1,6,5,4
1: 3,6,1,7,2,4,5
1: 3,1,7,5,6,4,2
1: 3,5,7,6,4,2,1
1: 3,1,7,5,4,6,2
1: 3,2,1,7,6,4,5
1: 3,1,4,6,2,7,5
1: 4,6,1,7
1: 4,3,7,1,6,2,5
1: 4,3,5,1,7,6,2
1: 5,2,4,3,7,6,1
1: 6,7,2,4,1,5
1: 6,7,4,3,5,2,1
1: 6,1,7,4,2,3,5
1: 6,5,3,1,7,4,2
1: 6,1,4,2
1: 6,7,4,1,2,3
1: 6,5,1,7,3,2
1: 6,7,1,2,3,4
1: 6,5,2,3,1,7,4
1: 6,3,2,7,5,4,1
1: 6,7,1,4
1: 6,7,3,2,1,4
1: 7,1,2,6,4,5,3
1: 7,4,1,3,2,5,6
1: 7,5,4,1,6,2,3
1: 7,1,5,3
1: 7,5,3,4,2,6,1
1: 7,5,2,4,6,3,1
1: 7,5,4,6,2,1,3
1: 7,5,6,3,2,4,1
1: 7,4,1,3,6,5,2
1: 7,2,5,6
1: 7,5,6,1,2
1: 7,5,6,2,3
1: 1,2,5,4,3,7,6
1: 2,6,7,1,3,4,5
1: 2,3,7,1,5,4,6
1: 2,5,6,1,3,7,4
1: 3,7,1,5,6,4,2
1: 3,2,1,7,5,4,6
1: 3,6,4,2,7,5,1
1: 3,1,6,2
1: 3,7,1,6,2,4,5
1: 4,6,5,1,2,3,7
1: 4,5,2,1,7,3,6
1: 5,3,7,6,1,2,4
1: 5,6,2,1,4,3,7
1: 5,2,1,6,3,7
1: 5,1,6,2,7,3,4
1: 5,3,1,7,6,2,4
1: 6,4,7,1,3,5,2
1: 6,7,4,1,2,3,5
1: 6,2,1,4,7,5,3
1: 6,7,2,4,5,3,1
1: 6,4,3,2,7,5,1
1: 7,3,5,1,2,6,4
1: 7,6,5,3,1,4,2
1: 7,4,1,6,5,3,2
1: 7,3,1,5,6,4
1: 7,5,1,3,4,2,6
1: 7,4,6,3,2,1,5
1: 7,5,3
1: 7,3,6,5,1,4
1: 7,4,6,3,1,2,5
1: 2,3,5,1,4,7,6
1: 3,2,6,5,7,1,4
1: 3,6,5,1,2,7
1: 3,2,7
1: 5,2,6,1,3,4,7
1: 5,2,1,3,4,6,7
1: 7,1,2,6,3,4
1: 7,5,6,2,1
1: 1,2,7,5,6,3,4
1: 1,5,7,6,3,4,2
1: 1,7,5,2,4,3,6
1: 2,5,7,3,6,4,1
1: 2,5,7,1,3,6,4
1: 2,7,1,5,6,4,3
1: 2,4,6
1: 3,2,7,5,1,4,6
1: 3,7,5,6
1: 3,2,5,4,6,1,7
1: 3,1,6,5,2,4,7
1: 4,3,1,2,5,6,7
1: 4,5,6,3,1,2,7
1: 4,6,7,3,1,5,2
1: 4,7,3,2,5,1,6
1: 4,1,7,3,6,2,5
1: 4,7,2,5,3,1,6
1: 4,3,5,1,2,7,6
1: 5,2,1
1: 5,3,7,4,6,1,2
1: 6,3,5,2,4,7,1
1: 6,1,5,3,7,4,2
1: 6,3,4,7,1,5,2
1: 6,7,1,4,2
1: 6,1,5,4,2,7,3
1: 7,6,4,3,1,5,2
1: 7,3,5,6,2
1: 7,6,4,5,1,2
1: 7,3,5,2,4,6,1
1: 1,2,4,5,6,3,7
1: 1,2,6,7,3,4,5
1: 1,3,2,5,6,4,7
1: 1,7,5,2,6,4,3
1: 2,3,7,4,5,6,1
1: 2,3,4,5
1: 4,7,1,3,2,5,6
1: 4,3,1,7,6,5,2
1: 4,1,3,7
1: 4,3,1
1: 5,7,2,6,1,4,3
1: 5,7,6,1
1: 5,2,6,3,7,4,1
1: 5,6,1,2,7,3
1: 5,3,1,6,7,4,2
1: 5,1,2,3,7,6,4
1: 5,6,3,2,1,7,4
1: 3,5,6,7
1: 3,5,6,1,7,2,4
1: 3,4,2,6,7,1,5
1: 3,7,2,6
1: 3,6,7,2,1
1: 3,4,5,2,7,1,6
1: 3,5,6,7,4,1,2
1: 3,5,7,6,2,4,1
1: 3,4,7,5
1: 3,4,2,7,6,5,1
1: 3,1,5
1: 3,6,4,1,7
1: 3,7,4,6,2,1,5
1: 3,7,4,6,2,5,1
1: 3,7,5,1
1: 6,5,2,1,3,4
1: 6,1,7,3,4,2,5
1: 6,2,4,7
1: 6,3,5,7,2,1
1: 6,7,3,4,5,1
1: 6,2,7,3
1: 6,7,2,5,1
1: 6,2,7,5
1: 6,2,7,5,1,3,4
1: 7,4,1,5,6,2,3
1: 7,6,4,2,1
1: 7,3,6,4
1: 7,5,4,3,1
1: 7,5,1,6,2
1: 7,1,3,5,4,2,6
1: 7,6,2,5,1,3
1: 7,6,2,1,5
1: 1,6,3,4,5,7,2
1: 1,3,6,7,5,4,2
1: 3,2,1,6,5,7
1: 3,6,5,2,4,1,7
1: 3,1,4,7,2,5,6
1: 2,3,5,1,4,6,7
1: 2,1,5,3,4
1: 4,2,5,7,3,1,6
1: 4,5,7,3,6,2,1
1: 5,2,3,6,1,7,4
1: 6,5,3,4,1,7,2
1: 6,2,1,7,3,4,5
1: 6,1,7,5,3,2
1: 7,5,6,2
1: 7,6,3,1,5,4
1: 1,7,6,4,5,2,3
1: 2,3,6,4
1: 3,7,1,6
1: 3,4,1,6,2,5,7
1: 3,1,6,5
1: 3,4,2,1,6,7,5
1: 3,2,6,5,1,4,7
1: 4,3,6,5,1,2,7
1: 6,3,5,4,7,2,1
1: 6,2,1,7,5
1: 6,3,1,5,7
1: 6,2,4,5,7,3,1
1: 6,3,1,4,5,7,2
1: 6,3,4,2,7,1,5
1: 6,4,1,7,2,3
1: 6,3,1,2,7,5,4
1: 7,5,1,3,6,4,2
1: 7,2,3,1,5,6,4
1: 7,6,4,1,3,5,2
1: 1,2,5,3,7,6
1: 1,3,2,5,4,7,6
1: 1,2,7,6
1: 1,6,3,5,2,7,4
1: 1,6,7,4,3,5,2
1: 1,6,4,3,5,2,7
1: 2,3,5,7,1,4,6
1: 2,5,1,7,6,3,4
1: 2,3,6,7,5,4,1
1: 2,5,4,3,6,7,1
1: 3,7,1,6,5,4,2
1: 4,3,1,5,7,6,2
1: 4,3,1,2,7
1: 4,5,7
1: 4,7,2,3,1,5,6
1: 5,2,3,7,6,1,4
1: 5,7,3,6,1
1: 5,6,2,7
1: 5,6,4,2,1
1: 5,2,1,3,6,7,4
1: 6,5,4,7
1: 6,7,2,4,1
1: 6,1,7,4,3,2,5
1: 6,2,4,3
1: 6,4,3,2
1: 6,5,4,1,2,7
1: 6,3,1,2,5,7
1: 6,1,2,4,7,5,3
1: 7,6,5,1,4
1: 7,3,4,1,5,2,6
1: 7,1,5,6,3,2
1: 7,5,3,2,4,6,1
1: 7,1,4,2,5,3,6
1: 7,3,5,4,2,1,6
1: 7,4,5,6
1: 7,6,5,3,4
1: 7,2,4,5,3,6,1
1: 7,6,1,3,5,2
1: 1,5,6,7,3
1: 1,5,6,4,2,3,7
1: 1,2,3,4,5,6
1: 1,5,2,6,3,7,4
1: 1,7,2,6,5,4,3
1: 2,5,6,7,3,1,4
1: 2,3,5,1,6,7,4
1: 4,3,6,5,2,1,7
1: 5,3,2,4,6,1,7
1: 3,4,7,6,2,1,5
1: 3,2,6,5,1,7,4
1: 3,5,1,4
1: 3,2,5,1
1: 3,2,4,6,1
1: 6,4,3,2,1,5,7
1: 6,4,1,2,7,3,5
1: 6,5,1,4
1: 6,1,3,5,4,7,2
1: 6,5,2,4,1,7
1: 6,2,3,4,5
1: 6,5,4,1,2,7,3
1: 6,1,2,4,5,7,3
1: 7,1,2,4,3,5,6
1: 7,5,1,3,2,4,6
1: 7,4,6,2,3,5,1
1: 7,3,6,5,4,1,2
1: 7,5,6,4,2,3,1
1: 7,2,3,1
1: 7,4,1
1: 7,6,3,2,1,5
1: 7,2,6,5
1: 6,4,5,7,1,3,2
1: 6,7,4,1
1: 6,7,2,3
1: 6,2,4,5,1,3,7
1: 6,2,5,1,7,4,3
1: 6,7,4,5,2,3,1
1: 6,2,1,3,5,4,7
1: 6,2,1,5,7
1: 6,4,7,2
1: 6,2,3,7
1: 6,2,1,5,7,4,3
1: 6,4,7,1,5,2,3
1: 6,1,5,3,7,4
1: 6,1,4,7,3,5,2
1: 6,3,4,7,2,5,1
1: 1,5,3,2,6,7,4
1: 1,2,5
1: 1,7,6,3,2,4,5
1: 1,3,7,6,2,4,5
1: 2,3,4,5,7,1,6
1: 2,7,5,3,1,6,4
1: 2,7,4,3,5,1,6
1: 2,6,3,4,5,1,7
1: 2,6,3,7,1,5,4
1: 2,5,6,3,4,1,7
1: 2,1,5,4,6,3,7
1: 3,6,4,7,2,1
1: 3,6,4,2,7,1,5
1: 3,6,1,5,4,7,2
1: 3,1,5,6,4,2,7
1: 3,4,5,2,6,1,7
1: 3,1,5,7,6,2,4
1: 3,5,7,1
1: 3,7,1,2,5,6,4
1: 3,2,5,4,7,1,6
1: 3,1,6,5,7,4,2
1: 3,1,4,7,5,2,6
1: 3,5,7,2,6,4,1
1: 3,7,2,5,6,4,1
1: 3,5,2,4,7,1,6
1: 4,5,2,3,7,6,1
1: 4,7,2,3,1,6,5
1: 4,3,5,2,1,6,7
1: 4,3,6,2,5,1,7
1: 5,3,6,7,1,2,4
1: 5,7,1,2,3,4,6
1: 5,6,7,3,2
1: 5,6,1,2,4,3,7
1: 5,1,2
1: 7,5,4,6,3,1,2
1: 7,1,3,4,6,5,2
1: 7,1,2,5,3,6,4
1: 7,3,5,6,2,1,4
1: 7,4,2,5,6,3,1
1: 7,5,2,4,1,6,3
1: 7,6,2,5,1
1: 7,5,1,4,3,6,2
1: 7,1,3,5,4,6,2
1: 7,1,6,5,3
1: 7,3,4,2,5,1,6
1: 7,6,3,1,2
1: 7,6,2,4,1,3,5
1: 7,3,5,4,6,1,2
1: 7,4,5,3,1,2
1: 2,5,3,6,4,1,7
1: 4,7,3,1,2,5,6
1: 7,5,6,2,4,3,1
1: 1,3,5,7,2,6,4
1: 2,7,6,5,1
1: 2,6,5,3,4,7,1
1: 3,6,4,2,5,1,7
1: 3,6,4,5,7,1,2
1: 3,2,7,6,5,1,4
1: 3,5,2,4,7,6,1
1: 3,7,1,4,5,2,6
1: 4,7,3,6,2,1,5
1: 5,7,6,2,4,1,3
1: 6,2,7,5,3,1,4
1: 6,1,3,5,7,4,2
1: 6,2,1,3,4,7,5
1: 7,4,2,5,6,1,3
1: 7,3,5,1,2,6
1: 7,6,1,2,4,5
1: 1,3,2,4
1: 1,2,3,6,5,4,7
1: 2,4,5,6,7,1,3
1: 2,7,6,5,3,4,1
1: 3,5,7,6
1: 3,5,6,7,4,2,1
1: 3,5,6,4,1,2,7
1: 3,7,5
1: 3,2,5,7
1: 3,4,5,6,1,7
1: 3,5,1,6
1: 4,7,5,2,1,3,6
1: 4,1,2,6
1: 5,6,2,1,7,4,3
1: 6,3,2,1,5,7
1: 6,1,7,2,5
1: 6,5,1,3
1: 7,5,1,3
1: 7,1,3,5,2,6,4
1: 1,7,5,2,6,3,4
1: 1,5,7,6,4,2,3
1: 1,5,7,2,6,4,3
1: 3,7,4,6,1,2,5
1: 3,7,4,2,5,1,6
1: 3,1,2,5
1: 4,3,2,5,1,6,7
1: 4,3,5,6,7,2,1
1: 5,4,3,2,1,6,7
1: 5,2,3,6,7,1,4
1: 5,3,6,4,1,2,7
1: 5,4,6,7,3,2,1
1: 5,3,7,6
1: 5,2,3,7,6,4
1: 5,3,7
1: 5,6,4,2,7,3,1
1: 6,3,2,4,5,7,1
1: 6,2,7,1,3,5,4
1: 6,3,7,1,4,2
1: 6,2,1,7,3,5,4
1: 7,2,4,3,5,6,1
1: 7,4,6,5,2,1
1: 7,2,4,6,3,5,1
1: 7,1,4,3,6,5,2
1: 7,5,6,4
1: 7,6,1,4,2,3,5
1: 7,3,5,6,2,4,1
1: 7,3,2,5,4,6,1
1: 7,4,3,5,2,1,6
1: 7,1,4,6,5,2,3
1: 7,3,5,6,4,1,2
1: 3,4,7,2,5,1,6
1: 3,2,4,5,6,7
1: 5,2,6,1,3,7,4
1: 2,7,5,1,3,4,6
1: 6,2,3,5,7,4,1
1: 6,1,5,4,7,2,3
1: 7,6,5,1,2,4
1: 7,5,3,6,2,1,4
1: 2,7,3,6,5,4,1
1: 2,6,1,4,3,7,5
1: 3,2,7,4,5,1,6
1: 3,4,2,7
1: 3,6,7,2,5,1
1: 4,3,1,2
1: 5,7,4,6,2,1,3
1: 6,3,2,7,1
1: 6,2,3,1,5,7,4
1: 6,5,1,4,3,2,7
1: 7,1,5,2,6,3
1: 7,2,6,1,4,5,3
1: 7,6,1,4,3,2,5
1: 7,4,3,1,2,6,5
1: 7,2,4,5,6,1,3
1: 7,4,2,1,5,6,3
1: 7,4,1,3
1: 1,3,2,7,5,6,4
1: 1,6,2,5,4,7,3
1: 1,3,6,2,5,4,7
1: 2,4,5,1,3,7,6
1: 2,7,6,1,5,4,3
1: 3,7,4,1,2,5,6
1: 3,7,1,2
1: 3,2,7,1,4,6,5
1: 3,7,5,4,2,6,1
1: 3,7,2,1
1: 3,2,5,6,4,1,7
1: 3,1,6,4,2,5,7
1: 3,6,5,1,4,2,7
1: 3,6,4,7,5,1,2
1: 3,1,6,2,5,7,4
1: 3,4,5,2,6,7,1
1: 3,7,4,5,1,6,2
1: 4,7,6,2,5,3,1
1: 4,5,6,7,2,3,1
1: 5,6,7,3
1: 5,7,2,1,3,6,4
1: 6,5,3,1,4,7,2
1: 6,1,7,3,4,5,2
1: 6,1,5,3,4,7,2
1: 6,7,1,3,5
1: 7,2,6,4
1: 7,1,3,6,2,4,5
1: 7,6,4,1,2,3,5
1: 1,6,7,2,5,4,3
1: 1,3,2,4,6,5,7
1: 2,7,4,1
1: 2,5,4,3,1,6,7
1: 2,3,5,6,7,1,4
1: 4,5,6,3,7,2,1
1: 5,2,4
1: 6,2,7,4,1,5,3
1: 6,2,5,4,1,7,3
1: 6,7,5,2,1,3
1: 7,6,3,5,1,2
1: 7,3,6,2,4,1,5
1: 1,7,6,4,3,5,2
1: 3,6,5,1
1: 3,4,2,1,7,6,5
1: 4,6,7,5,3,2
1: 4,6,3
1: 4,5,3,2
1: 6,1,2,5,7
1: 7,1,2,5,6,3
1: 7,2,6,1
1: 7,4,6,5,1,2,3
1: 1,5,6,7,3,2,4
1: 2,7,5,1,6,4,3
1: 2,7,3,5,4,6,1
1: 2,6,5,1,3,7,4
1: 2,6,3,7,1,4,5
1: 2,3,4,6,1,5,7
1: 2,3,5,6
1: 2,1,5,7,6,3,4
1: 3,2,6,4,7,5,1
1: 4,7,3,5,2,1,6
1: 4,1,2,5,6,7,3
1: 4,3,2,7,1,5,6
1: 4,2,1,3,7,5,6
1: 5,7,2,1,4,6,3
1: 5,6,7,3,4,2,1
1: 6,1,7,4,5,2,3
1: 6,3,4,2,5,1,7
1: 6,2,5,7,1,3,4
1: 6,5,4,7,3,2,1
1: 6,4,3,5,7,2,1
1: 6,7,5,4,3,1,2
1: 7,6,1,4,2,5,3
1: 7,3,1,2
1: 7,4,5,1,2,6,3
1: 7,6,2,4
1: 7,2,1,6
1: 7,3,4,1,6,5,2
1: 7,5,6,1,3,4,2
1: 1,5,4,2,7,6,3
1: 1,6,5,3,4,2,7
1: 1,3,5,2,4,7,6
1: 2,3,7,4,1,6,5
1: 2,3,7,6,1,5,4
1: 2,5,1,7,3,4,6
1: 2,6,4,1,5,7,3
1: 2,3,6,5,4,1,7
1: 3,2,1,4,7,6,5
1: 3,5,7,4,6,2,1
1: 3,4,7,5,1,2,6
1: 3,2,4,1,7,5,6
1: 3,4,1,7,2,5,6
1: 3,5,4,7,1,2,6
1: 3,1,7,5,2,4,6
1: 4,3,5,6,1,2,7
1: 4,3,5,6,2,1,7
1: 4,7,2,1,3,5,6
1: 4,3,7,6,5,2,1
1: 6,7,1,3,4
1: 6,3,5,2,4,1,7
1: 6,1,7,5,2
1: 6,3,1,2,7,4,5
1: 6,1,3,5,4,2,7
1: 6,4,2,5,3,7,1
1: 6,4,2,3,7,5
1: 6,7,3,2,4,1,5
1: 6,2,5,3,7,1,4
1: 7,2,3,5,6,1
1: 7,6,2,4,3,1,5
1: 7,6,1,5,4,3
1: 7,2,1,3
1: 7,6,3,4,2,1
1: 7,4,1,2,5,3,6
1: 1,6,5,7,3
1: 2,3,4,1,5,6,7
1: 2,4,6,7
1: 2,3,7,6,4,5,1
1: 3,5,1,7,2,4,6
1: 3,1,4,5
1: 3,2,1,4
1: 5,6,1,7,2
1: 6,2,7,3,1,5,4
1: 6,2,4,3,7,5,1
1: 6,2,4,5,3,1,7
1: 6,1,5,7,3,2
1: 6,1,4,2,3,7,5
1: 6,5,7,2,3
1: 6,7,2,4,1,3,5
1: 6,4,5,3
1: 7,2,5,1,3,6,4
1: 7,3,4,6,1,2,5
1: 7,2,5,1,4,6,3
1: 7,1,4,5,2,6,3
1: 7,3,1,6,4,5,2
1: 1,6,2,5,4,3,7
1: 3,6,1,2
1: 7,6,1,5,3,4
1: 5,3,1,2,7,4,6
1: 1,6,4,7,2,5,3
1: 1,6,5,2,7,3
1: 1,4,3,7,6,5,2
1: 2,4,5,7
1: 2,6,5,1,3,4,7
1: 2,3,1,6,5,4,7
1: 3,5,7,1,6,4,2
1: 3,4,5,7
1: 3,5,7,1,4,6,2
1: 3,5,6,2,4,1,7
1: 1,7,6,5,2
1: 3,2,6,7,1,5,4
1: 4,3,5,6,2,7,1
1: 4,3,7,1,5,2,6
1: 4,3,7,6,2,1,5
1: 4,7,3,2,1,6,5
1: 5,2,7
1: 5,1,7,6,3,2,4
1: 5,3,6,2,4,7,1
1: 5,6,7,1,4,2,3
1: 7,5,4,2,3,6,1
1: 7,2,4,5,1,3,6
1: 7,4,1,2,5,6,3
1: 1,5,4,7,6,3,2
1: 1,2,5,3,4,6,7
1: 1,4,3
1: 1,7,3,5,2,6,4
1: 1,2,4,3,6,5,7
1: 2,5,7,6,4,1,3
1: 2,3,6,7,5,1
1: 2,7,6,3
1: 3,1,2,7,4,6,5
1: 3,1,5,2,6,4,7
1: 3,4,5,1,7,2,6
1: 3,4,5,7,2,1,6
1: 3,7,4,1,5,2,6
1: 3,5,2,1,7,6
1: 3,2,7,5,6,1
1: 4,3,6
1: 4,3,2,1,7,6,5
1: 4,3,7,5,6
1: 4,3,5,1
1: 4,3,7,1
1: 5,1,2,4,3,7,6
1: 5,6,1,7,3,4,2
1: 5,2,1,4,7,6,3
1: 5,6,2,3,7
1: 5,1,2,4,3,6,7
1: 5,6,3,1
1: 5,4,1,2,3,6,7
1: 1,4,7
1: 1,4,7,2,3,6,5
1: 1,5,7,4,2,6,3
1: 1,7,6,5,4,2,3
1: 6,2,3,7,4,5,1
1: 2,1,3,5,4,7,6
1: 2,3,7,6,4,1,5
1: 2,7,1,6,5
1: 2,1,4,7,3
1: 2,6,7,5,3,1,4
1: 6,5,7,1,3
1: 3,4,1,7,5,2,6
1: 3,5,6,2,4,7,1
1: 3,5,6,4,7,2,1
1: 6,5,1,2,7
1: 6,4,2,1,5,3,7
1: 3,2,4,6,7,5,1
1: 3,4,7,5,2,1,6
1: 3,2,7,6,1,5,4
1: 3,1,5,4,2,7,6
1: 6,1,4,5,2,7,3
1: 6,7,4,2,5
1: 3,1,5,2,7,6,4
1: 6,7,1,3,4,2
1: 4,1,2,3,7,6,5
1: 4,3,5,6,7,1,2
1: 5,6,2,4,1,3,7
1: 5,2,1,6,7,3,4
1: 6,7,4,5,2
1: 6,7,5,2,1,4
1: 6,3,7,1,4,5,2
1: 7,2,1,6,3,4,5
1: 7,5,3,6,1,2,4
1: 6,3,5,7,4,1,2
1: 7,1,3,6,4,2,5
1: 7,5,4,6,1,2,3
1: 7,5,2,3
1: 7,5,1,3,2,6,4
1: 7,5,3,1,4,2,6
1: 7,1,2,5,6
1: 7,4,5,3,6,2,1
1: 7,2,3,4,6,5,1
1: 7,4,3,5,1,2,6
1: 7,1,3,2,4,5,6
1: 7,5,4,1,2,3,6
1: 7,4,5,2,3,6,1
1: 1,6,5,2,7,4,3
1: 3,2,6,1,5,4,7
1: 3,4,7,6,5,1,2
1: 3,1,2,6,7
1: 3,2,7,4,5,6,1
1: 3,6,5,2
1: 7,2,5,6,4,3,1
1: 5,3,2,1,4,7,6
1: 5,7,2,4,6,1,3
1: 6,4,7,3,2,1,5
1: 7,3,2,4
1: 7,5,6,3,1,4,2
1: 7,6,2,3,4,1,5
1: 7,4,2,1,3,5,6
1: 7,1,2,6,3,5,4
1: 3,7,5,2,6,4,1
1: 6,3,1,4,7,2,5
1: 5,3,7,6,4,2,1
1: 5,7,6,2,3,4,1
1: 1,5,4,2,6,7,3
1: 1,3,4,5,2,7,6
1: 3,6,1,7,4,2,5
1: 1,4,2,7,5,6,3
1: 1,2,3,5,4,7,6
1: 3,2,4,7,5,1,6
1: 5,4,3,2,6,7
1: 5,3,2,6
1: 7,1,5,3,2,4,6
1: 2,6,4
1: 3,2,1,4,6,7,5
1: 3,4,1,6,7,5,2
1: 3,7,2,1,6
1: 1,3,2,5,7,4,6
1: 5,2,1,7,3,6,4
1: 7,5,3,2,6,1,4
1: 2,1,5,6,7,3,4
1: 7,1,5,4,2,6,3
1: 4,5,3,2,1,6,7
1: 2,5,7,3,6,1,4
1: 1,7,4,5,3,2,6
1: 2,7,6,3,4,5,1
1: 7,2,3,5,1,6,4
1: 5,6,1,4,7,2,3
1: 7,1,6,4,3,5,2
1: 7,6,5,3,2,4
1: 6,3,7,2,4,5
1: 7,6,3,2,4,5
1: 1,3,5,6,4,2,7
1: 4,2,3,5,6,7,1
1: 2,6,5,7
1: 6,5,2,3,4,7
1: 6,2,5,7,3,4
1: 2,3,1,5,6,7,4
1: 2,6,3,4,5,7,1
1: 5,7,3,6,1,2,4
1: 7,6,5,2,1,4
1: 4,2,3,5,1,6,7
1: 5,1,6,2,3,4,7
1: 6,4,3,7,2,1,5
1: 3,5,1,6,2,4,7
1: 6,4,3,2,5,7
1: 3,4,2,7,5,6,1
1: 2,4,5,3,7,1,6
1: 2,3,1,5,6,4,7
1: 7,3,4,6,2,5,1
1: 1,6,3,5,4,2,7
1: 1,3,7,6,4,5,2
1: 5,6,2,3,1,4,7
1: 5,3,6,7,2,1,4
1: 4,3,2,5,7,1,6
1: 2,3,1,6,4,7,5
1: 1,7,6,3,5,4
1: 3,2,4,1,7,6,5
1: 3,2,5,1,6,7,4
1: 3,4,2,7,5,1,6
1: 6,7,3,2,1
1: 3,2,1,6,7,4,5
1: 7,1,5,2,4,6,3
1: 2,3,5
1: 7,5,6,2,3,4
1: 7,6,3,5,2
1: 7,1,3,5,2,4,6
1: 7,2,3,4,5,6
1: 6,1,3,2,7,5,4
1: 4,3,2,6,5,7
1: 6,7,5,3,2,4
1: 1,6,4,5,2,3,7
1: 5,3,1,4,6,7,2
1: 6,1,7,3,5,2
1: 4,3,5,7,1,2,6
1: 6,3,7,5,2,4
1: 3,7,4,2,6,5,1
1: 3,2,1,4,7
1: 6,4,3,5,2,1,7
1: 6,4,5,2,3,1,7
1: 3,2,6,1,7,5,4
1: 2,3,4,5,6,1,7
1: 7,3,6,5,4,2
1: 6,7,3,1,2,5
1: 1,2,7,6,3,5,4
1: 7,4,2,5,1,6,3
1: 7,5,6,3,4,1,2
1: 3,2,1,6,5,7,4
1: 1,2,6,7,5,3,4
1: 5,3,6,4,2,1,7
1: 6,7,3,2,5
1: 6,5,7,2,1,3
1: 7,6,5,4,2,3
1: 3,7,5,2,6,4
1: 5,1,2,3,6,4
1: 7,5,4,1,3,2,6
1: 5,2,3,6,7,4
1: 3,5,7,2,1,6,4
1: 2,6,5,7,4,3,1
1: 5,3,2,1,6,4,7
1: 6,1,2,5,3,4,7
1: 7,2,1,3,6,5
1: 1,6,3,2,4,5,7
1: 3,6,1,5,4,2,7
1: 6,5,1,3,4,2,7
1: 3,1,6,2,4,5,7
1: 7,5,4,2,6,1,3
1: 6,5,7,3,4,2,1
1: 7,3,1,4,2,5,6
1: 2,5,6,1,7,3,4
1: 3,6,2,4,5,7
1: 6,7,3,4,2
1: 3,1,7,2,6,4,5
1: 5,6,4,3,2,1,7
1: 6,2,3,1,4,7,5
1: 2,3,7,4,1,5,6
1: 3,6,7,2,4,1,5
1: 7,5,2,3,4,6,1
1: 5,1,4,6,7,3,2
1: 7,5,2,3,6,1,4
1: 6,5,3,2,4,1,7
1: 1,6,3,4,5,2,7
1: 3,2,7,5,6,1,4
1: 7,2,5,1,6,3,4
1: 3,7,4,1,2,6,5
1: 7,3,2,1,6,5,4
1: 6,2,7,5,1,4,3
1: 6,7,4,3,5,2
1: 5,1,2,6
1: 3,5,6,7,2,4
1: 6,5,7,2,4,3,1
1: 6,2,1,4,5,3,7
1: 6,7,3,4,1,5,2
1: 7,3,4,6,5,1,2
1: 3,7,1,4,6,5,2
1: 2,7,3,6,1,5,4
1: 6,3,5,7,4,2,1
1: 3,5,1
1: 4,6,7,2,5,1,3
1: 2,7,6,5,1,4,3
1: 3,6,4,1
1: 5,2,3,6,4,7,1
1: 7,3,4,5,6,2
1: 6,7,2,5,3,4
1: 6,5,4,2,7,1
1: 5,3,6,2,1,7,4
1: 5,1,7,3,4,2,6
1: 7,6,3,2,5
1: 1,5,7,3,4,6,2
1: 2,3,7,4
1: 5,6,2,7,3,1,4
1: 5,1,2,4,6,3,7
1: 3,2,1,5
1: 6,7,4,3,2,1,5
1: 7,2,6,1,3,4,5
1: 7,3,2,4,5,6
1: 3,5,6,1,4,2,7
1: 3,5,7,1,2,4,6
1: 5,6,2,3,1,7,4
1: 2,6,7,3
1: 7,3,6,1,4,2,5
1: 3,2,4,7,5,6,1
1: 2,1,5,4,6,7,3
1: 7,6,3,2,5,4
1: 7,6,5,3,1,2
1: 4,6,7,3,5,1,2
1: 3,5,4,6,7,1,2
1: 2,3,4,1,5,7,6
1: 3,1,2,6,5,4,7
1: 6,1,7,2,4,3,5
1: 3,7,5,6,2,4,1
1: 7,6,4,5,1,3,2
1: 3,5,1,6,7,2,4
1: 3,5,1,6,4,7,2
1: 3,2,1,4,5
1: 3,4,2,6,5,7,1
1: 3,5,2,1,7,4,6
1: 3,5,2,6,7,4
1: 5,6,3,7,4,2,1
1: 3,5,7,4,2,6,1
1: 7,4,6,3,5,2,1
1: 6,1,5,4,3,2,7
1: 1,5,7,6
1: 3,2,6,7
1: 7,2,5,6,4,1,3
1: 7,6,3,4,5,2
1: 4,2,3,6,1,5,7
1: 7,6,3,5,2,4
1: 4,5,6,2,1,3,7
1: 6,3,1,7,4,2,5
1: 6,5,7,4,1,3,2
1: 2,6,4,3,7,1,5
1: 3,5,2,7,4,1,6
1: 3,6,4,7,1,2,5
1: 3,1,2,4,7,6,5
1: 3,2,4,5,7,1,6
1: 3,6,4,2,1,7,5
1: 3,7,2,4,5,1,6
1: 3,4,6,5,1,2,7
1: 3,5,7,2,6,1,4
1: 3,2,7,1,5,6,4
1: 3,6,1,7,5,4,2
1: 5,7,4
1: 5,3,1,7,2,6,4
1: 5,7,2,3,6,4,1
1: 6,5,2,1,7,3
1: 2,5,1,3,4,7,6
1: 3,4,6,2,5,7,1
1: 5,6,3,7,2,1,4
1: 6,3,5,2
1: 6,2,1,7,4,5,3
1: 7,5,2,6,3,1,4
1: 7,4,3,6,2,1,5
1: 6,2,3,5,4,1,7
1: 4,3,1,7,2,5,6
1: 4,6,2,1,5,3,7
1: 4,1
1: 4,1,6,5,3,2,7
1: 4,5,1,7,6,2,3
1: 7,2,3,4,1,5,6
1: 7,3,1,5,2,6,4
1: 7,1,5,4,3,6,2
1: 7,6,5,4,2,1
1: 7,4,5,2,1,6,3
1: 7,6,5,2,4
1: 7,2,6,3,4,5,1
1: 7,2,5,1,3,4,6
1: 1,5,7,6,3,2
1: 5,6,3,7,4,1,2
1: 6,5,7,2,4
1: 6,5,4,2,1,7,3