back to table · edit · history · where entries came from · files · download
124302 bytes, as of the version from 2026-10-28 21:43 (current). Recorded here, not run.
{
"table": "T591",
"skill_manifest": "agents/runs/20261028T210416Z-build-skills/manifest.json",
"skill_sha256": "e37efb7e2ededf6c1d7134c673f152f648f26e0267c556aebdf3ec65765d8b4c",
"sage_version": "10.9",
"shapes": [
{
"m": 2,
"n": 2,
"degree": 4,
"distinct_roots": 4,
"multiplicities": [
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 2,
"n": 3,
"degree": 7,
"distinct_roots": 7,
"multiplicities": [
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 2,
"n": 4,
"degree": 10,
"distinct_roots": 9,
"multiplicities": [
2,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 2,
"n": 5,
"degree": 13,
"distinct_roots": 11,
"multiplicities": [
3,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 2,
"n": 6,
"degree": 16,
"distinct_roots": 13,
"multiplicities": [
4,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 3,
"n": 3,
"degree": 12,
"distinct_roots": 9,
"multiplicities": [
4,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 3,
"n": 4,
"degree": 17,
"distinct_roots": 13,
"multiplicities": [
5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 3,
"n": 5,
"degree": 22,
"distinct_roots": 17,
"multiplicities": [
6,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 3,
"n": 6,
"degree": 27,
"distinct_roots": 21,
"multiplicities": [
7,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": false
},
{
"m": 4,
"n": 4,
"degree": 24,
"distinct_roots": 21,
"multiplicities": [
1,
1,
4,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": true
},
{
"m": 4,
"n": 5,
"degree": 31,
"distinct_roots": 25,
"multiplicities": [
1,
1,
7,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 134,
"brute_force": false
},
{
"m": 4,
"n": 6,
"degree": 38,
"distinct_roots": 33,
"multiplicities": [
1,
1,
6,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": false
},
{
"m": 5,
"n": 5,
"degree": 40,
"distinct_roots": 33,
"multiplicities": [
1,
1,
8,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": false
},
{
"m": 5,
"n": 6,
"degree": 49,
"distinct_roots": 41,
"multiplicities": [
1,
1,
1,
1,
9,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": false
},
{
"m": 6,
"n": 6,
"degree": 60,
"distinct_roots": 53,
"multiplicities": [
1,
1,
1,
1,
1,
1,
8,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
],
"minimum_component_digits": 135,
"brute_force": false
}
],
"measure": {
"entries": 310,
"longest": 572,
"longest_at": [
2,
2,
2
],
"block_kb": 112.66015625
},
"seconds": 55.36,
"polynomials": {
"2,2": [
2,
0,
12,
0,
2
],
"2,3": [
2,
0,
12,
18,
18,
12,
0,
2
],
"2,4": [
2,
0,
14,
24,
48,
80,
48,
24,
14,
0,
2
],
"2,5": [
2,
0,
16,
32,
68,
170,
224,
224,
170,
68,
32,
16,
0,
2
],
"2,6": [
2,
0,
18,
40,
92,
264,
462,
720,
900,
720,
462,
264,
92,
40,
18,
0,
2
],
"3,3": [
2,
0,
8,
32,
46,
96,
144,
96,
46,
32,
8,
0,
2
],
"3,4": [
2,
0,
8,
34,
64,
172,
362,
588,
818,
818,
588,
362,
172,
64,
34,
8,
0,
2
],
"3,5": [
2,
0,
8,
40,
74,
220,
592,
1208,
2278,
3812,
5238,
5824,
5238,
3812,
2278,
1208,
592,
220,
74,
40,
8,
0,
2
],
"3,6": [
2,
0,
8,
46,
88,
264,
800,
1872,
4114,
8496,
15464,
24606,
34296,
41016,
41016,
34296,
24606,
15464,
8496,
4114,
1872,
800,
264,
88,
46,
8,
0,
2
],
"4,4": [
2,
0,
8,
32,
72,
224,
584,
1216,
2638,
4928,
7344,
9984,
11472,
9984,
7344,
4928,
2638,
1216,
584,
224,
72,
32,
8,
0,
2
],
"4,5": [
2,
0,
8,
36,
76,
250,
752,
1820,
4344,
10104,
20602,
38156,
65364,
98836,
131080,
152858,
152858,
131080,
98836,
65364,
38156,
20602,
10104,
4344,
1820,
752,
250,
76,
36,
8,
0,
2
],
"4,6": [
2,
0,
8,
40,
86,
280,
902,
2328,
6132,
15520,
36266,
79712,
164222,
314896,
555804,
899880,
1327336,
1764408,
2103546,
2234480,
2103546,
1764408,
1327336,
899880,
555804,
314896,
164222,
79712,
36266,
15520,
6132,
2328,
902,
280,
86,
40,
8,
0,
2
],
"5,5": [
2,
0,
8,
40,
78,
256,
884,
2312,
5962,
15544,
37412,
84424,
180616,
362136,
672908,
1157160,
1837876,
2658328,
3474900,
4108408,
4355924,
4108408,
3474900,
2658328,
1837876,
1157160,
672908,
362136,
180616,
84424,
37412,
15544,
5962,
2312,
884,
256,
78,
40,
8,
0,
2
],
"5,6": [
2,
0,
8,
44,
88,
274,
1012,
2748,
7458,
20848,
54020,
133984,
322128,
738314,
1607784,
3332792,
6542614,
12108512,
21069584,
34287436,
51960806,
73064022,
94821196,
113108464,
123686774,
123686774,
113108464,
94821196,
73064022,
51960806,
34287436,
21069584,
12108512,
6542614,
3332792,
1607784,
738314,
322128,
133984,
54020,
20848,
7458,
2748,
1012,
274,
88,
44,
8,
0,
2
],
"6,6": [
2,
0,
8,
48,
100,
288,
1132,
3168,
8824,
25744,
71064,
186624,
484210,
1214336,
2931560,
6853760,
15444302,
33435520,
69487240,
138380976,
263185168,
476852512,
821190292,
1340056928,
2065952532,
3000507536,
4093604824,
5230849920,
6244335166,
6951501824,
7206345520,
6951501824,
6244335166,
5230849920,
4093604824,
3000507536,
2065952532,
1340056928,
821190292,
476852512,
263185168,
138380976,
69487240,
33435520,
15444302,
6853760,
2931560,
1214336,
484210,
186624,
71064,
25744,
8824,
3168,
1132,
288,
100,
48,
8,
0,
2
]
},
"bivariate_counts": {
"2,2": [
[
1,
0,
0,
0,
0
],
[
0,
0,
4,
0,
0
],
[
0,
0,
4,
0,
2
],
[
0,
0,
4,
0,
0
],
[
1,
0,
0,
0,
0
]
],
"2,3": [
[
1,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
2,
0,
0,
0,
0
],
[
0,
0,
2,
4,
5,
4,
0,
0
],
[
0,
0,
0,
6,
8,
4,
0,
2
],
[
0,
0,
2,
4,
5,
4,
0,
0
],
[
0,
0,
4,
2,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0
]
],
"2,4": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
8,
12,
2,
0,
0,
0,
0
],
[
0,
0,
0,
4,
12,
16,
12,
8,
4,
0,
0
],
[
0,
0,
2,
0,
8,
24,
20,
8,
6,
0,
2
],
[
0,
0,
0,
4,
12,
16,
12,
8,
4,
0,
0
],
[
0,
0,
2,
4,
8,
12,
2,
0,
0,
0,
0
],
[
0,
0,
4,
4,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"2,5": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
11,
20,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
12,
26,
32,
24,
20,
2,
0,
0,
0,
0
],
[
0,
0,
2,
0,
7,
28,
48,
56,
37,
16,
12,
4,
0,
0
],
[
0,
0,
0,
4,
8,
22,
48,
64,
56,
32,
8,
8,
0,
2
],
[
0,
0,
2,
0,
7,
28,
48,
56,
37,
16,
12,
4,
0,
0
],
[
0,
0,
0,
4,
12,
26,
32,
24,
20,
2,
0,
0,
0,
0
],
[
0,
0,
2,
4,
11,
20,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"2,6": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
14,
28,
18,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
12,
36,
52,
52,
52,
12,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
0,
8,
28,
72,
116,
109,
84,
46,
28,
2,
0,
0,
0,
0
],
[
0,
0,
0,
4,
8,
28,
56,
124,
196,
164,
108,
64,
20,
16,
4,
0,
0
],
[
0,
0,
2,
0,
8,
24,
66,
136,
186,
200,
154,
80,
48,
8,
10,
0,
2
],
[
0,
0,
0,
4,
8,
28,
56,
124,
196,
164,
108,
64,
20,
16,
4,
0,
0
],
[
0,
0,
2,
0,
8,
28,
72,
116,
109,
84,
46,
28,
2,
0,
0,
0,
0
],
[
0,
0,
0,
4,
12,
36,
52,
52,
52,
12,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
2,
4,
14,
28,
18,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"3,3": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
6,
12,
10,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
4,
4,
24,
26,
12,
10,
4,
0,
0,
0
],
[
0,
0,
0,
0,
12,
12,
36,
36,
13,
12,
4,
0,
1
],
[
0,
0,
0,
0,
12,
12,
36,
36,
13,
12,
4,
0,
1
],
[
0,
0,
0,
4,
4,
24,
26,
12,
10,
4,
0,
0,
0
],
[
0,
0,
0,
8,
6,
12,
10,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
4,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"3,4": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
8,
22,
22,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
28,
46,
52,
50,
28,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
10,
10,
56,
88,
117,
108,
56,
32,
16,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
18,
42,
88,
162,
184,
134,
88,
46,
14,
8,
4,
0,
0
],
[
0,
0,
0,
2,
0,
16,
30,
120,
160,
178,
196,
122,
48,
32,
18,
0,
0,
2
],
[
0,
0,
0,
0,
4,
18,
42,
88,
162,
184,
134,
88,
46,
14,
8,
4,
0,
0
],
[
0,
0,
0,
0,
10,
10,
56,
88,
117,
108,
56,
32,
16,
2,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
28,
46,
52,
50,
28,
6,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
8,
22,
22,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
6,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"3,5": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
10,
32,
38,
16,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
30,
75,
96,
113,
94,
35,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
14,
68,
128,
243,
314,
265,
180,
108,
36,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
16,
38,
140,
268,
452,
608,
596,
434,
252,
120,
56,
19,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
8,
39,
136,
238,
520,
825,
948,
901,
676,
365,
196,
106,
28,
11,
6,
0,
0,
0
],
[
0,
0,
0,
0,
4,
10,
38,
88,
276,
526,
886,
1186,
1176,
942,
653,
352,
171,
82,
26,
14,
4,
0,
1
],
[
0,
0,
0,
0,
4,
10,
38,
88,
276,
526,
886,
1186,
1176,
942,
653,
352,
171,
82,
26,
14,
4,
0,
1
],
[
0,
0,
0,
2,
0,
8,
39,
136,
238,
520,
825,
948,
901,
676,
365,
196,
106,
28,
11,
6,
0,
0,
0
],
[
0,
0,
0,
0,
4,
16,
38,
140,
268,
452,
608,
596,
434,
252,
120,
56,
19,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
14,
68,
128,
243,
314,
265,
180,
108,
36,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
30,
75,
96,
113,
94,
35,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
10,
32,
38,
16,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"3,6": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
10,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
12,
42,
58,
30,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
32,
104,
148,
204,
204,
100,
14,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
14,
76,
180,
382,
602,
650,
550,
400,
174,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
14,
42,
176,
362,
796,
1288,
1620,
1652,
1274,
742,
412,
166,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
8,
38,
140,
338,
816,
1572,
2438,
3238,
3424,
2738,
1892,
1112,
490,
222,
86,
10,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
10,
34,
100,
334,
714,
1722,
2980,
4210,
5410,
5554,
4318,
3022,
1826,
906,
436,
154,
60,
28,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
10,
30,
98,
304,
742,
1626,
3108,
4986,
6722,
7426,
6632,
5095,
3394,
1866,
944,
478,
198,
58,
20,
13,
4,
0,
0
],
[
0,
0,
0,
2,
0,
4,
36,
128,
260,
748,
1548,
3186,
5324,
7008,
8048,
7788,
5816,
4004,
2508,
1182,
588,
284,
92,
44,
20,
0,
0,
2
],
[
0,
0,
0,
0,
4,
10,
30,
98,
304,
742,
1626,
3108,
4986,
6722,
7426,
6632,
5095,
3394,
1866,
944,
478,
198,
58,
20,
13,
4,
0,
0
],
[
0,
0,
0,
0,
4,
10,
34,
100,
334,
714,
1722,
2980,
4210,
5410,
5554,
4318,
3022,
1826,
906,
436,
154,
60,
28,
2,
0,
0,
0,
0
],
[
0,
0,
0,
2,
0,
8,
38,
140,
338,
816,
1572,
2438,
3238,
3424,
2738,
1892,
1112,
490,
222,
86,
10,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
14,
42,
176,
362,
796,
1288,
1620,
1652,
1274,
742,
412,
166,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
14,
76,
180,
382,
602,
650,
550,
400,
174,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
2,
8,
32,
104,
148,
204,
204,
100,
14,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
12,
42,
58,
30,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
10,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"4,4": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
10,
32,
44,
24,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
32,
64,
112,
144,
128,
60,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
68,
144,
256,
368,
392,
304,
188,
72,
12,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
16,
48,
120,
260,
520,
804,
872,
740,
512,
288,
136,
44,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
16,
20,
96,
286,
592,
880,
1352,
1604,
1296,
864,
552,
272,
112,
48,
16,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
36,
72,
236,
584,
1032,
1616,
2044,
1984,
1608,
1096,
596,
296,
148,
56,
16,
8,
4,
0,
0
],
[
0,
0,
0,
0,
4,
0,
24,
80,
270,
544,
1008,
1680,
2320,
2256,
1800,
1360,
814,
384,
192,
80,
36,
16,
0,
0,
2
],
[
0,
0,
0,
0,
0,
8,
36,
72,
236,
584,
1032,
1616,
2044,
1984,
1608,
1096,
596,
296,
148,
56,
16,
8,
4,
0,
0
],
[
0,
0,
0,
0,
0,
16,
20,
96,
286,
592,
880,
1352,
1604,
1296,
864,
552,
272,
112,
48,
16,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
16,
48,
120,
260,
520,
804,
872,
740,
512,
288,
136,
44,
8,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
8,
8,
68,
144,
256,
368,
392,
304,
188,
72,
12,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
32,
64,
112,
144,
128,
60,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
10,
32,
44,
24,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
8,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"4,5": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
10,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
12,
42,
70,
50,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
34,
92,
174,
264,
310,
200,
52,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
12,
76,
186,
411,
728,
980,
1004,
836,
460,
136,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
14,
44,
156,
368,
848,
1624,
2438,
2956,
2788,
2120,
1326,
620,
182,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
12,
20,
100,
352,
858,
1686,
3226,
5120,
6556,
6784,
5808,
4024,
2370,
1198,
490,
136,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
28,
82,
264,
704,
1766,
3610,
6254,
9460,
12182,
13006,
11298,
8314,
5350,
2920,
1382,
598,
226,
62,
10,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
20,
66,
231,
676,
1652,
3502,
6892,
11476,
16244,
19478,
19885,
16952,
12452,
7972,
4480,
2276,
1060,
420,
152,
60,
20,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
20,
62,
186,
626,
1594,
3506,
7090,
12364,
18450,
23968,
26382,
24256,
19242,
13382,
8224,
4586,
2262,
1020,
464,
184,
56,
18,
10,
4,
0,
0
],
[
0,
0,
0,
0,
0,
6,
12,
68,
176,
604,
1598,
3480,
7064,
12628,
19248,
25666,
28440,
26932,
22312,
15836,
9712,
5642,
3008,
1340,
568,
264,
98,
36,
16,
0,
0,
2
],
[
0,
0,
0,
0,
0,
4,
20,
62,
186,
626,
1594,
3506,
7090,
12364,
18450,
23968,
26382,
24256,
19242,
13382,
8224,
4586,
2262,
1020,
464,
184,
56,
18,
10,
4,
0,
0
],
[
0,
0,
0,
0,
2,
0,
20,
66,
231,
676,
1652,
3502,
6892,
11476,
16244,
19478,
19885,
16952,
12452,
7972,
4480,
2276,
1060,
420,
152,
60,
20,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
28,
82,
264,
704,
1766,
3610,
6254,
9460,
12182,
13006,
11298,
8314,
5350,
2920,
1382,
598,
226,
62,
10,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
12,
20,
100,
352,
858,
1686,
3226,
5120,
6556,
6784,
5808,
4024,
2370,
1198,
490,
136,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
14,
44,
156,
368,
848,
1624,
2438,
2956,
2788,
2120,
1326,
620,
182,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
12,
76,
186,
411,
728,
980,
1004,
836,
460,
136,
10,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
34,
92,
174,
264,
310,
200,
52,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
12,
42,
70,
50,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
10,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"4,6": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
12,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
14,
52,
100,
84,
18,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
36,
120,
244,
416,
572,
452,
160,
12,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
12,
80,
240,
580,
1168,
1836,
2224,
2222,
1548,
620,
88,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
12,
48,
180,
460,
1232,
2668,
4684,
6808,
7984,
7560,
5784,
3444,
1364,
264,
12,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
12,
18,
96,
422,
1132,
2576,
5556,
10312,
16308,
21348,
23236,
20916,
15700,
9712,
4948,
1854,
420,
30,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
24,
80,
304,
844,
2376,
5796,
11844,
21216,
34048,
47072,
54924,
54100,
45036,
32096,
19556,
10196,
4552,
1608,
388,
40,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
16,
60,
246,
760,
2096,
5276,
11902,
23984,
42888,
66840,
91257,
108128,
110712,
96808,
73066,
48272,
28312,
14508,
6552,
2632,
904,
220,
30,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
16,
52,
192,
668,
1856,
4876,
11720,
24840,
46884,
80228,
121668,
161116,
185912,
186972,
164172,
126004,
85592,
52036,
28380,
14080,
6352,
2536,
924,
328,
84,
12,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
12,
60,
152,
588,
1806,
4576,
11092,
24852,
49194,
88172,
141454,
200612,
251494,
276812,
264920,
224064,
167872,
112576,
68612,
37912,
19050,
8996,
3936,
1584,
562,
192,
74,
24,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
12,
44,
188,
536,
1620,
4500,
10892,
24540,
50148,
91788,
152056,
225216,
294580,
338496,
342064,
305596,
241948,
171228,
109872,
64460,
34924,
17480,
8048,
3524,
1476,
588,
220,
60,
20,
12,
4,
0,
0
],
[
0,
0,
0,
0,
2,
0,
10,
48,
176,
520,
1694,
4416,
10614,
24352,
50424,
93464,
155894,
231936,
308126,
362192,
372282,
335304,
270724,
195968,
128196,
76648,
41762,
21248,
10390,
4648,
1888,
744,
314,
112,
42,
16,
0,
0,
2
],
[
0,
0,
0,
0,
0,
4,
12,
44,
188,
536,
1620,
4500,
10892,
24540,
50148,
91788,
152056,
225216,
294580,
338496,
342064,
305596,
241948,
171228,
109872,
64460,
34924,
17480,
8048,
3524,
1476,
588,
220,
60,
20,
12,
4,
0,
0
],
[
0,
0,
0,
0,
0,
4,
12,
60,
152,
588,
1806,
4576,
11092,
24852,
49194,
88172,
141454,
200612,
251494,
276812,
264920,
224064,
167872,
112576,
68612,
37912,
19050,
8996,
3936,
1584,
562,
192,
74,
24,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
16,
52,
192,
668,
1856,
4876,
11720,
24840,
46884,
80228,
121668,
161116,
185912,
186972,
164172,
126004,
85592,
52036,
28380,
14080,
6352,
2536,
924,
328,
84,
12,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
2,
0,
16,
60,
246,
760,
2096,
5276,
11902,
23984,
42888,
66840,
91257,
108128,
110712,
96808,
73066,
48272,
28312,
14508,
6552,
2632,
904,
220,
30,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
24,
80,
304,
844,
2376,
5796,
11844,
21216,
34048,
47072,
54924,
54100,
45036,
32096,
19556,
10196,
4552,
1608,
388,
40,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
12,
18,
96,
422,
1132,
2576,
5556,
10312,
16308,
21348,
23236,
20916,
15700,
9712,
4948,
1854,
420,
30,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
12,
48,
180,
460,
1232,
2668,
4684,
6808,
7984,
7560,
5784,
3444,
1364,
264,
12,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
6,
12,
80,
240,
580,
1168,
1836,
2224,
2222,
1548,
620,
88,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
36,
120,
244,
416,
572,
452,
160,
12,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
14,
52,
100,
84,
18,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
12,
8,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"5,5": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
12,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
14,
52,
106,
96,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
36,
120,
252,
444,
648,
546,
220,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
16,
84,
228,
589,
1240,
2030,
2600,
2727,
2040,
918,
168,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
12,
40,
184,
488,
1240,
2742,
5092,
7898,
9796,
9778,
7908,
5115,
2264,
536,
36,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
20,
104,
402,
1112,
2662,
5864,
11166,
18656,
26078,
30216,
29126,
23312,
15328,
8444,
3568,
940,
90,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
24,
84,
260,
856,
2472,
5748,
12368,
23740,
39616,
57640,
72350,
76924,
68486,
52540,
34602,
19160,
9046,
3644,
1010,
124,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
20,
44,
198,
776,
2064,
5192,
12334,
25764,
47994,
79220,
116203,
147660,
161510,
153784,
126988,
89824,
56090,
31296,
15181,
6276,
2342,
700,
111,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
12,
52,
148,
580,
1812,
4876,
11735,
25824,
51650,
93252,
150179,
213220,
266258,
292364,
280387,
233360,
172514,
114240,
67017,
34944,
16906,
7552,
2804,
904,
312,
72,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
32,
172,
512,
1522,
4380,
11192,
25688,
53100,
100156,
171960,
263424,
356210,
428636,
454068,
421264,
347064,
256064,
168226,
100476,
55432,
27920,
12492,
5356,
2308,
780,
206,
84,
32,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
44,
128,
396,
1488,
4216,
10516,
24976,
53672,
104160,
184270,
293920,
418886,
532208,
598706,
594016,
521826,
411292,
291606,
187076,
109616,
59780,
30332,
14000,
6122,
2600,
968,
384,
146,
20,
14,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
36,
128,
412,
1368,
4024,
10350,
24584,
53648,
105860,
189729,
308440,
450236,
586192,
679642,
695640,
630820,
512624,
375898,
249684,
152152,
85116,
44569,
21948,
9964,
4320,
1806,
688,
264,
108,
25,
12,
4,
0,
1
],
[
0,
0,
0,
0,
0,
0,
8,
36,
128,
412,
1368,
4024,
10350,
24584,
53648,
105860,
189729,
308440,
450236,
586192,
679642,
695640,
630820,
512624,
375898,
249684,
152152,
85116,
44569,
21948,
9964,
4320,
1806,
688,
264,
108,
25,
12,
4,
0,
1
],
[
0,
0,
0,
0,
0,
0,
8,
44,
128,
396,
1488,
4216,
10516,
24976,
53672,
104160,
184270,
293920,
418886,
532208,
598706,
594016,
521826,
411292,
291606,
187076,
109616,
59780,
30332,
14000,
6122,
2600,
968,
384,
146,
20,
14,
8,
0,
0,
0
],
[
0,
0,
0,
0,
0,
4,
0,
32,
172,
512,
1522,
4380,
11192,
25688,
53100,
100156,
171960,
263424,
356210,
428636,
454068,
421264,
347064,
256064,
168226,
100476,
55432,
27920,
12492,
5356,
2308,
780,
206,
84,
32,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
12,
52,
148,
580,
1812,
4876,
11735,
25824,
51650,
93252,
150179,
213220,
266258,
292364,
280387,
233360,
172514,
114240,
67017,
34944,
16906,
7552,
2804,
904,
312,
72,
1,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
20,
44,
198,
776,
2064,
5192,
12334,
25764,
47994,
79220,
116203,
147660,
161510,
153784,
126988,
89824,
56090,
31296,
15181,
6276,
2342,
700,
111,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
24,
84,
260,
856,
2472,
5748,
12368,
23740,
39616,
57640,
72350,
76924,
68486,
52540,
34602,
19160,
9046,
3644,
1010,
124,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
20,
104,
402,
1112,
2662,
5864,
11166,
18656,
26078,
30216,
29126,
23312,
15328,
8444,
3568,
940,
90,
4,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
12,
40,
184,
488,
1240,
2742,
5092,
7898,
9796,
9778,
7908,
5115,
2264,
536,
36,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
16,
84,
228,
589,
1240,
2030,
2600,
2727,
2040,
918,
168,
6,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
36,
120,
252,
444,
648,
546,
220,
22,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
14,
52,
106,
96,
24,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
12,
9,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"5,6": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
14,
12,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
16,
62,
146,
154,
49,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
38,
148,
338,
660,
1102,
1112,
566,
84,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
16,
88,
282,
782,
1834,
3434,
5054,
6180,
5620,
3192,
858,
61,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
10,
44,
204,
588,
1676,
4114,
8584,
15274,
22470,
26812,
26104,
20572,
11572,
3922,
542,
18,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
18,
100,
460,
1386,
3712,
8968,
19229,
37060,
60852,
85028,
100573,
99004,
80730,
54698,
29115,
10634,
2060,
138,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
20,
82,
292,
976,
3074,
8266,
19850,
42594,
82210,
141904,
215774,
283114,
318346,
308036,
253822,
177354,
104698,
51506,
19006,
4418,
444,
14,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
16,
42,
196,
808,
2530,
7010,
17968,
42782,
92028,
177682,
309897,
482738,
667824,
811504,
859359,
791840,
636156,
445654,
270860,
141964,
63944,
23328,
5961,
792,
42,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
42,
142,
618,
2010,
5904,
16410,
40634,
91762,
193018,
370184,
643050,
1008190,
1415886,
1771886,
1967538,
1931028,
1671062,
1280518,
870694,
527844,
283116,
133884,
55588,
19834,
5354,
876,
70,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
32,
136,
468,
1652,
5132,
14460,
37494,
89252,
196754,
399858,
746296,
1274302,
1974816,
2760032,
3472144,
3908034,
3924128,
3521288,
2828064,
2037652,
1323332,
778502,
415616,
199878,
86414,
33591,
11678,
3300,
638,
70,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
30,
110,
376,
1422,
4500,
12924,
34460,
85274,
194948,
411502,
805930,
1457018,
2409504,
3634216,
4979364,
6161234,
6864738,
6880446,
6207226,
5049322,
3723314,
2497552,
1533964,
864094,
447872,
213618,
94166,
37846,
13796,
4748,
1422,
318,
42,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
22,
84,
350,
1298,
4074,
11601,
31864,
81656,
190546,
413780,
838578,
1571570,
2713850,
4307245,
6253020,
8256600,
9874588,
10688533,
10459784,
9260106,
7449020,
5469437,
3683650,
2287178,
1313384,
702010,
350372,
162672,
70540,
29125,
11072,
3762,
1286,
436,
112,
14,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
18,
96,
362,
1060,
3610,
11270,
30546,
77448,
185558,
413482,
854090,
1637610,
2910368,
4771066,
7179662,
9882142,
12395726,
14113720,
14556702,
13632626,
11628188,
9058062,
6472880,
4280592,
2624038,
1497142,
801002,
404226,
191246,
85322,
36430,
14742,
5756,
2072,
644,
218,
94,
28,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
22,
86,
302,
1060,
3598,
10652,
29194,
75628,
182878,
411170,
859824,
1672708,
3017992,
5033906,
7738244,
10905372,
14030186,
16436868,
17496024,
16917836,
14906696,
12012229,
8890688,
6083760,
3867860,
2292215,
1273918,
666678,
330106,
155948,
69902,
29394,
12038,
4840,
1824,
706,
228,
49,
24,
14,
4,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
12,
96,
332,
1064,
3452,
10324,
28878,
75556,
182236,
408908,
860120,
1685144,
3053044,
5119476,
7924422,
11246548,
14593012,
17264292,
18557022,
18128916,
16147180,
13152768,
9854450,
6816680,
4379740,
2629608,
1480202,
783348,
395132,
187888,
84476,
37552,
15776,
6152,
2298,
872,
368,
120,
36,
16,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
4,
22,
86,
302,
1060,
3598,
10652,
29194,
75628,
182878,
411170,
859824,
1672708,
3017992,
5033906,
7738244,
10905372,
14030186,
16436868,
17496024,
16917836,
14906696,
12012229,
8890688,
6083760,
3867860,
2292215,
1273918,
666678,
330106,
155948,
69902,
29394,
12038,
4840,
1824,
706,
228,
49,
24,
14,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
18,
96,
362,
1060,
3610,
11270,
30546,
77448,
185558,
413482,
854090,
1637610,
2910368,
4771066,
7179662,
9882142,
12395726,
14113720,
14556702,
13632626,
11628188,
9058062,
6472880,
4280592,
2624038,
1497142,
801002,
404226,
191246,
85322,
36430,
14742,
5756,
2072,
644,
218,
94,
28,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
6,
22,
84,
350,
1298,
4074,
11601,
31864,
81656,
190546,
413780,
838578,
1571570,
2713850,
4307245,
6253020,
8256600,
9874588,
10688533,
10459784,
9260106,
7449020,
5469437,
3683650,
2287178,
1313384,
702010,
350372,
162672,
70540,
29125,
11072,
3762,
1286,
436,
112,
14,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
30,
110,
376,
1422,
4500,
12924,
34460,
85274,
194948,
411502,
805930,
1457018,
2409504,
3634216,
4979364,
6161234,
6864738,
6880446,
6207226,
5049322,
3723314,
2497552,
1533964,
864094,
447872,
213618,
94166,
37846,
13796,
4748,
1422,
318,
42,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
2,
0,
32,
136,
468,
1652,
5132,
14460,
37494,
89252,
196754,
399858,
746296,
1274302,
1974816,
2760032,
3472144,
3908034,
3924128,
3521288,
2828064,
2037652,
1323332,
778502,
415616,
199878,
86414,
33591,
11678,
3300,
638,
70,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
8,
42,
142,
618,
2010,
5904,
16410,
40634,
91762,
193018,
370184,
643050,
1008190,
1415886,
1771886,
1967538,
1931028,
1671062,
1280518,
870694,
527844,
283116,
133884,
55588,
19834,
5354,
876,
70,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
16,
42,
196,
808,
2530,
7010,
17968,
42782,
92028,
177682,
309897,
482738,
667824,
811504,
859359,
791840,
636156,
445654,
270860,
141964,
63944,
23328,
5961,
792,
42,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
20,
82,
292,
976,
3074,
8266,
19850,
42594,
82210,
141904,
215774,
283114,
318346,
308036,
253822,
177354,
104698,
51506,
19006,
4418,
444,
14,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
18,
100,
460,
1386,
3712,
8968,
19229,
37060,
60852,
85028,
100573,
99004,
80730,
54698,
29115,
10634,
2060,
138,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
10,
44,
204,
588,
1676,
4114,
8584,
15274,
22470,
26812,
26104,
20572,
11572,
3922,
542,
18,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
16,
88,
282,
782,
1834,
3434,
5054,
6180,
5620,
3192,
858,
61,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
38,
148,
338,
660,
1102,
1112,
566,
84,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
16,
62,
146,
154,
49,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
14,
12,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
],
"6,6": [
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
16,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
18,
72,
196,
240,
96,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
40,
176,
440,
944,
1784,
2132,
1336,
276,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
16,
92,
336,
1000,
2584,
5472,
9128,
12808,
13848,
9684,
3528,
405,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
48,
224,
692,
2152,
5844,
13488,
27040,
46000,
64064,
73512,
69116,
48192,
21596,
4712,
304,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
16,
96,
510,
1672,
4928,
12856,
30472,
66128,
124112,
201952,
282600,
333432,
328560,
269640,
177840,
84840,
24816,
3200,
114,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
16,
80,
324,
1088,
3672,
11112,
29428,
69432,
150024,
295504,
521556,
810280,
1096804,
1288352,
1302120,
1121776,
817208,
496888,
237048,
79120,
14740,
1088,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
12,
40,
194,
824,
2964,
8976,
24608,
64240,
155192,
338688,
671608,
1217624,
1999200,
2928792,
3803552,
4346104,
4350168,
3806160,
2890796,
1892120,
1055276,
487664,
171420,
39472,
4468,
176,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
32,
140,
632,
2148,
6960,
21364,
57904,
145036,
339328,
735908,
1479272,
2719344,
4549688,
6923756,
9509968,
11696116,
12817472,
12481236,
10776008,
8239248,
5560512,
3294352,
1694968,
745836,
265928,
69004,
10432,
668,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
32,
104,
400,
1712,
5824,
17696,
50200,
132368,
325392,
745756,
1592392,
3159452,
5803920,
9817138,
15194112,
21406056,
27362992,
31604064,
32845312,
30646088,
25674048,
19319452,
13039336,
7892608,
4261024,
2036860,
850280,
301548,
83728,
15466,
1440,
56,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
16,
92,
336,
1348,
4656,
14764,
43784,
119912,
303936,
723768,
1619264,
3387104,
6619144,
12030996,
20228008,
31352512,
44606944,
58001184,
68693456,
73901336,
72121648,
63804000,
51191200,
37305712,
24727976,
14906712,
8168872,
4052388,
1811072,
720944,
251864,
72824,
15456,
1956,
112,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
8,
52,
272,
1148,
3992,
12642,
38040,
106880,
280904,
693764,
1599456,
3468316,
7087744,
13548110,
24146816,
40037024,
61457112,
86986990,
113173056,
134966240,
147203352,
146610438,
133288056,
110758772,
84315832,
58873630,
37782360,
22325284,
12165944,
6094178,
2805048,
1180952,
451224,
155276,
46064,
10820,
1760,
140,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
68,
264,
848,
3216,
11260,
34272,
96840,
259208,
654256,
1554808,
3477800,
7324856,
14508224,
26967232,
46892200,
75984960,
114348916,
159295984,
204756968,
242203672,
263233044,
262660032,
240628536,
202580744,
157115596,
112585552,
74707652,
45998360,
26347096,
14057728,
6995216,
3241792,
1398396,
559208,
206796,
70048,
21288,
5464,
1080,
112,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
56,
208,
784,
3024,
10012,
30144,
88088,
243176,
622776,
1500808,
3432396,
7418440,
15087376,
28883160,
51956700,
87516320,
137585354,
201230368,
273060468,
342832640,
397239488,
424261840,
417559004,
378953536,
317680880,
246500208,
177550172,
119120240,
74664240,
43784440,
24110644,
12482488,
6089406,
2800456,
1211116,
495096,
190956,
68320,
22700,
7096,
2048,
464,
56,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
44,
184,
796,
2712,
8912,
28064,
82516,
227936,
592888,
1455840,
3381584,
7425280,
15396856,
30125232,
55498296,
96021704,
155617028,
235567408,
332116732,
434743848,
527147800,
591351696,
612980328,
587010872,
520231748,
427673808,
326835892,
232863080,
155241800,
97167880,
57224984,
31800064,
16725804,
8344384,
3956228,
1783584,
763832,
312944,
122564,
45936,
15992,
5088,
1648,
576,
144,
16,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
44,
184,
688,
2496,
8602,
26688,
78048,
217096,
571114,
1419184,
3334408,
7405432,
15547944,
30863368,
57789252,
101786344,
168309380,
260604728,
376763156,
507142968,
634002062,
734868984,
788699120,
783431400,
721109775,
616280728,
490072292,
363672072,
252721350,
165044024,
101523372,
59061808,
32577690,
17079656,
8533916,
4072016,
1865200,
819072,
342108,
138136,
54277,
20776,
7508,
2480,
750,
256,
116,
32,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
40,
184,
696,
2360,
8152,
25792,
75776,
211776,
558760,
1393512,
3295996,
7381760,
15626960,
31259768,
59043392,
105091760,
175791992,
275705672,
404423180,
553090736,
703495848,
830973784,
910063060,
923286160,
868652004,
759282840,
617855604,
469445120,
334167564,
223542256,
141006700,
84154672,
47663060,
25690088,
13217204,
6507536,
3071132,
1392792,
610524,
259200,
105204,
40752,
15836,
6048,
2200,
800,
244,
48,
28,
16,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
0,
24,
208,
704,
2352,
8138,
25264,
74480,
209888,
555752,
1387392,
3282120,
7365456,
15642816,
31391744,
59462812,
106153216,
178244328,
280781072,
413717960,
568725568,
727699318,
864763088,
953070632,
973834528,
922982744,
812579760,
666201824,
510188272,
366007256,
246747568,
156960796,
94437504,
53961992,
29341040,
15215080,
7575440,
3619206,
1656576,
733608,
313376,
129168,
52464,
20968,
7536,
2636,
1024,
412,
128,
40,
16,
0,
0,
2
],
[
0,
0,
0,
0,
0,
0,
0,
8,
40,
184,
696,
2360,
8152,
25792,
75776,
211776,
558760,
1393512,
3295996,
7381760,
15626960,
31259768,
59043392,
105091760,
175791992,
275705672,
404423180,
553090736,
703495848,
830973784,
910063060,
923286160,
868652004,
759282840,
617855604,
469445120,
334167564,
223542256,
141006700,
84154672,
47663060,
25690088,
13217204,
6507536,
3071132,
1392792,
610524,
259200,
105204,
40752,
15836,
6048,
2200,
800,
244,
48,
28,
16,
4,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
44,
184,
688,
2496,
8602,
26688,
78048,
217096,
571114,
1419184,
3334408,
7405432,
15547944,
30863368,
57789252,
101786344,
168309380,
260604728,
376763156,
507142968,
634002062,
734868984,
788699120,
783431400,
721109775,
616280728,
490072292,
363672072,
252721350,
165044024,
101523372,
59061808,
32577690,
17079656,
8533916,
4072016,
1865200,
819072,
342108,
138136,
54277,
20776,
7508,
2480,
750,
256,
116,
32,
2,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
44,
184,
796,
2712,
8912,
28064,
82516,
227936,
592888,
1455840,
3381584,
7425280,
15396856,
30125232,
55498296,
96021704,
155617028,
235567408,
332116732,
434743848,
527147800,
591351696,
612980328,
587010872,
520231748,
427673808,
326835892,
232863080,
155241800,
97167880,
57224984,
31800064,
16725804,
8344384,
3956228,
1783584,
763832,
312944,
122564,
45936,
15992,
5088,
1648,
576,
144,
16,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
56,
208,
784,
3024,
10012,
30144,
88088,
243176,
622776,
1500808,
3432396,
7418440,
15087376,
28883160,
51956700,
87516320,
137585354,
201230368,
273060468,
342832640,
397239488,
424261840,
417559004,
378953536,
317680880,
246500208,
177550172,
119120240,
74664240,
43784440,
24110644,
12482488,
6089406,
2800456,
1211116,
495096,
190956,
68320,
22700,
7096,
2048,
464,
56,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
8,
68,
264,
848,
3216,
11260,
34272,
96840,
259208,
654256,
1554808,
3477800,
7324856,
14508224,
26967232,
46892200,
75984960,
114348916,
159295984,
204756968,
242203672,
263233044,
262660032,
240628536,
202580744,
157115596,
112585552,
74707652,
45998360,
26347096,
14057728,
6995216,
3241792,
1398396,
559208,
206796,
70048,
21288,
5464,
1080,
112,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
8,
52,
272,
1148,
3992,
12642,
38040,
106880,
280904,
693764,
1599456,
3468316,
7087744,
13548110,
24146816,
40037024,
61457112,
86986990,
113173056,
134966240,
147203352,
146610438,
133288056,
110758772,
84315832,
58873630,
37782360,
22325284,
12165944,
6094178,
2805048,
1180952,
451224,
155276,
46064,
10820,
1760,
140,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
16,
92,
336,
1348,
4656,
14764,
43784,
119912,
303936,
723768,
1619264,
3387104,
6619144,
12030996,
20228008,
31352512,
44606944,
58001184,
68693456,
73901336,
72121648,
63804000,
51191200,
37305712,
24727976,
14906712,
8168872,
4052388,
1811072,
720944,
251864,
72824,
15456,
1956,
112,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
0,
32,
104,
400,
1712,
5824,
17696,
50200,
132368,
325392,
745756,
1592392,
3159452,
5803920,
9817138,
15194112,
21406056,
27362992,
31604064,
32845312,
30646088,
25674048,
19319452,
13039336,
7892608,
4261024,
2036860,
850280,
301548,
83728,
15466,
1440,
56,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
4,
32,
140,
632,
2148,
6960,
21364,
57904,
145036,
339328,
735908,
1479272,
2719344,
4549688,
6923756,
9509968,
11696116,
12817472,
12481236,
10776008,
8239248,
5560512,
3294352,
1694968,
745836,
265928,
69004,
10432,
668,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
12,
40,
194,
824,
2964,
8976,
24608,
64240,
155192,
338688,
671608,
1217624,
1999200,
2928792,
3803552,
4346104,
4350168,
3806160,
2890796,
1892120,
1055276,
487664,
171420,
39472,
4468,
176,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
0,
16,
80,
324,
1088,
3672,
11112,
29428,
69432,
150024,
295504,
521556,
810280,
1096804,
1288352,
1302120,
1121776,
817208,
496888,
237048,
79120,
14740,
1088,
20,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
16,
96,
510,
1672,
4928,
12856,
30472,
66128,
124112,
201952,
282600,
333432,
328560,
269640,
177840,
84840,
24816,
3200,
114,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
0,
8,
48,
224,
692,
2152,
5844,
13488,
27040,
46000,
64064,
73512,
69116,
48192,
21596,
4712,
304,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
4,
16,
92,
336,
1000,
2584,
5472,
9128,
12808,
13848,
9684,
3528,
405,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
0,
12,
40,
176,
440,
944,
1784,
2132,
1336,
276,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
0,
8,
18,
72,
196,
240,
96,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
0,
0,
4,
16,
16,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]
]
}
}