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package tlsh
// bitPairsDiffTable is pre-calculated table that represents approximation
// to the Hamming distance. It's generated using Jonathan Oliver's algorithm.
//
// Original implementation and algorithm for generation can be found on
// following urls:
// https://github.com/trendmicro/tlsh/blob/master/src/tlsh_util.cpp#L84-L4694
// https://github.com/trendmicro/tlsh/blob/master/src/gen_arr2.cpp#L1-L91
//
// Details about distance score can be also found in Trendmicro TLSH paper:
// https://github.com/trendmicro/tlsh/blob/master/TLSH_CTC_final.pdf
var bitPairsDiffTable = [256][256]int{
{
0, 1, 2, 6, 1, 2, 3, 7, 2, 3, 4, 8, 6, 7, 8, 12,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14, 12, 13, 14, 18,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15, 13, 14, 15, 19,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
4, 5, 6, 10, 5, 6, 7, 11, 6, 7, 8, 12, 10, 11, 12, 16,
8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16, 14, 15, 16, 20,
6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14, 12, 13, 14, 18,
7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15, 13, 14, 15, 19,
8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16, 14, 15, 16, 20,
12, 13, 14, 18, 13, 14, 15, 19, 14, 15, 16, 20, 18, 19, 20, 24,
},
{
1, 0, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4, 7, 6, 7, 8,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10, 13, 12, 13, 14,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11, 14, 13, 14, 15,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8, 11, 10, 11, 12,
9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12, 15, 14, 15, 16,
7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10, 13, 12, 13, 14,
8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11, 14, 13, 14, 15,
9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12, 15, 14, 15, 16,
13, 12, 13, 14, 14, 13, 14, 15, 15, 14, 15, 16, 19, 18, 19, 20,
},
{
2, 1, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3, 8, 7, 6, 7,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9, 14, 13, 12, 13,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10, 15, 14, 13, 14,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
6, 5, 4, 5, 7, 6, 5, 6, 8, 7, 6, 7, 12, 11, 10, 11,
10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11, 16, 15, 14, 15,
8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9, 14, 13, 12, 13,
9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10, 15, 14, 13, 14,
10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11, 16, 15, 14, 15,
14, 13, 12, 13, 15, 14, 13, 14, 16, 15, 14, 15, 20, 19, 18, 19,
},
{
6, 2, 1, 0, 7, 3, 2, 1, 8, 4, 3, 2, 12, 8, 7, 6,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8, 18, 14, 13, 12,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 19, 15, 14, 13,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
10, 6, 5, 4, 11, 7, 6, 5, 12, 8, 7, 6, 16, 12, 11, 10,
14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10, 20, 16, 15, 14,
12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8, 18, 14, 13, 12,
13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 19, 15, 14, 13,
14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10, 20, 16, 15, 14,
18, 14, 13, 12, 19, 15, 14, 13, 20, 16, 15, 14, 24, 20, 19, 18,
},
{
1, 2, 3, 7, 0, 1, 2, 6, 1, 2, 3, 7, 2, 3, 4, 8,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
5, 6, 7, 11, 4, 5, 6, 10, 5, 6, 7, 11, 6, 7, 8, 12,
9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16,
7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14,
8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15,
9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16,
13, 14, 15, 19, 12, 13, 14, 18, 13, 14, 15, 19, 14, 15, 16, 20,
},
{
2, 1, 2, 3, 1, 0, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
6, 5, 6, 7, 5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8,
10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12,
8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10,
9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11,
10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12,
14, 13, 14, 15, 13, 12, 13, 14, 14, 13, 14, 15, 15, 14, 15, 16,
},
{
3, 2, 1, 2, 2, 1, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
7, 6, 5, 6, 6, 5, 4, 5, 7, 6, 5, 6, 8, 7, 6, 7,
11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11,
9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9,
10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10,
11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11,
15, 14, 13, 14, 14, 13, 12, 13, 15, 14, 13, 14, 16, 15, 14, 15,
},
{
7, 3, 2, 1, 6, 2, 1, 0, 7, 3, 2, 1, 8, 4, 3, 2,
8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8,
8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5,
14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5,
11, 7, 6, 5, 10, 6, 5, 4, 11, 7, 6, 5, 12, 8, 7, 6,
15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10,
13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8,
14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9,
15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10,
19, 15, 14, 13, 18, 14, 13, 12, 19, 15, 14, 13, 20, 16, 15, 14,
},
{
2, 3, 4, 8, 1, 2, 3, 7, 0, 1, 2, 6, 1, 2, 3, 7,
3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13,
3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10,
9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10,
6, 7, 8, 12, 5, 6, 7, 11, 4, 5, 6, 10, 5, 6, 7, 11,
10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15,
8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13,
9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14,
10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15,
14, 15, 16, 20, 13, 14, 15, 19, 12, 13, 14, 18, 13, 14, 15, 19,
},
{
3, 2, 3, 4, 2, 1, 2, 3, 1, 0, 1, 2, 2, 1, 2, 3,
4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9,
4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6,
10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6,
7, 6, 7, 8, 6, 5, 6, 7, 5, 4, 5, 6, 6, 5, 6, 7,
11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11,
9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9,
10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10,
11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11,
15, 14, 15, 16, 14, 13, 14, 15, 13, 12, 13, 14, 14, 13, 14, 15,
},
{
4, 3, 2, 3, 3, 2, 1, 2, 2, 1, 0, 1, 3, 2, 1, 2,
5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8,
5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5,
11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5,
8, 7, 6, 7, 7, 6, 5, 6, 6, 5, 4, 5, 7, 6, 5, 6,
12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10,
10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8,
11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9,
12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10,
16, 15, 14, 15, 15, 14, 13, 14, 14, 13, 12, 13, 15, 14, 13, 14,
},
{
8, 4, 3, 2, 7, 3, 2, 1, 6, 2, 1, 0, 7, 3, 2, 1,
9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7,
9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4,
15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4,
12, 8, 7, 6, 11, 7, 6, 5, 10, 6, 5, 4, 11, 7, 6, 5,
16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9,
14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7,
15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8,
16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9,
20, 16, 15, 14, 19, 15, 14, 13, 18, 14, 13, 12, 19, 15, 14, 13,
},
{
6, 7, 8, 12, 2, 3, 4, 8, 1, 2, 3, 7, 0, 1, 2, 6,
7, 8, 9, 13, 3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
12, 13, 14, 18, 8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12,
7, 8, 9, 13, 3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
9, 10, 11, 15, 5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9,
13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
9, 10, 11, 15, 5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9,
10, 11, 12, 16, 6, 7, 8, 12, 5, 6, 7, 11, 4, 5, 6, 10,
14, 15, 16, 20, 10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14,
12, 13, 14, 18, 8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12,
13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13,
14, 15, 16, 20, 10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14,
18, 19, 20, 24, 14, 15, 16, 20, 13, 14, 15, 19, 12, 13, 14, 18,
},
{
7, 6, 7, 8, 3, 2, 3, 4, 2, 1, 2, 3, 1, 0, 1, 2,
8, 7, 8, 9, 4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
13, 12, 13, 14, 9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8,
8, 7, 8, 9, 4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
10, 9, 10, 11, 6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5,
14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
10, 9, 10, 11, 6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5,
11, 10, 11, 12, 7, 6, 7, 8, 6, 5, 6, 7, 5, 4, 5, 6,
15, 14, 15, 16, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10,
13, 12, 13, 14, 9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8,
14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9,
15, 14, 15, 16, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10,
19, 18, 19, 20, 15, 14, 15, 16, 14, 13, 14, 15, 13, 12, 13, 14,
},
{
8, 7, 6, 7, 4, 3, 2, 3, 3, 2, 1, 2, 2, 1, 0, 1,
9, 8, 7, 8, 5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
14, 13, 12, 13, 10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7,
9, 8, 7, 8, 5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
11, 10, 9, 10, 7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4,
15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
11, 10, 9, 10, 7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4,
12, 11, 10, 11, 8, 7, 6, 7, 7, 6, 5, 6, 6, 5, 4, 5,
16, 15, 14, 15, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9,
14, 13, 12, 13, 10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7,
15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8,
16, 15, 14, 15, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9,
20, 19, 18, 19, 16, 15, 14, 15, 15, 14, 13, 14, 14, 13, 12, 13,
},
{
12, 8, 7, 6, 8, 4, 3, 2, 7, 3, 2, 1, 6, 2, 1, 0,
13, 9, 8, 7, 9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
18, 14, 13, 12, 14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6,
13, 9, 8, 7, 9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
15, 11, 10, 9, 11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3,
19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
15, 11, 10, 9, 11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3,
16, 12, 11, 10, 12, 8, 7, 6, 11, 7, 6, 5, 10, 6, 5, 4,
20, 16, 15, 14, 16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8,
18, 14, 13, 12, 14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6,
19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7,
20, 16, 15, 14, 16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8,
24, 20, 19, 18, 20, 16, 15, 14, 19, 15, 14, 13, 18, 14, 13, 12,
},
{
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
0, 1, 2, 6, 1, 2, 3, 7, 2, 3, 4, 8, 6, 7, 8, 12,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
4, 5, 6, 10, 5, 6, 7, 11, 6, 7, 8, 12, 10, 11, 12, 16,
7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15, 13, 14, 15, 19,
6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14, 12, 13, 14, 18,
7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15, 13, 14, 15, 19,
8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16, 14, 15, 16, 20,
},
{
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
1, 0, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4, 7, 6, 7, 8,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8, 11, 10, 11, 12,
8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11, 14, 13, 14, 15,
7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10, 13, 12, 13, 14,
8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11, 14, 13, 14, 15,
9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12, 15, 14, 15, 16,
},
{
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
2, 1, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3, 8, 7, 6, 7,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
6, 5, 4, 5, 7, 6, 5, 6, 8, 7, 6, 7, 12, 11, 10, 11,
9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10, 15, 14, 13, 14,
8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9, 14, 13, 12, 13,
9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10, 15, 14, 13, 14,
10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11, 16, 15, 14, 15,
},
{
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
6, 2, 1, 0, 7, 3, 2, 1, 8, 4, 3, 2, 12, 8, 7, 6,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
10, 6, 5, 4, 11, 7, 6, 5, 12, 8, 7, 6, 16, 12, 11, 10,
13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 19, 15, 14, 13,
12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8, 18, 14, 13, 12,
13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 19, 15, 14, 13,
14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10, 20, 16, 15, 14,
},
{
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
1, 2, 3, 7, 0, 1, 2, 6, 1, 2, 3, 7, 2, 3, 4, 8,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
5, 6, 7, 11, 4, 5, 6, 10, 5, 6, 7, 11, 6, 7, 8, 12,
8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15,
7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14,
8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15,
9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16,
},
{
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
2, 1, 2, 3, 1, 0, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
6, 5, 6, 7, 5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8,
9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11,
8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10,
9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11,
10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12,
},
{
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
3, 2, 1, 2, 2, 1, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
7, 6, 5, 6, 6, 5, 4, 5, 7, 6, 5, 6, 8, 7, 6, 7,
10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10,
9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9,
10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10,
11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11,
},
{
8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3,
7, 3, 2, 1, 6, 2, 1, 0, 7, 3, 2, 1, 8, 4, 3, 2,
8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5,
10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5,
11, 7, 6, 5, 10, 6, 5, 4, 11, 7, 6, 5, 12, 8, 7, 6,
14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9,
13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8,
14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9,
15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10,
},
{
3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8,
2, 3, 4, 8, 1, 2, 3, 7, 0, 1, 2, 6, 1, 2, 3, 7,
3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10,
5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10,
6, 7, 8, 12, 5, 6, 7, 11, 4, 5, 6, 10, 5, 6, 7, 11,
9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14,
8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13,
9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14,
10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15,
},
{
4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4,
3, 2, 3, 4, 2, 1, 2, 3, 1, 0, 1, 2, 2, 1, 2, 3,
4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6,
6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6,
7, 6, 7, 8, 6, 5, 6, 7, 5, 4, 5, 6, 6, 5, 6, 7,
10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10,
9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9,
10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10,
11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11,
},
{
5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3,
4, 3, 2, 3, 3, 2, 1, 2, 2, 1, 0, 1, 3, 2, 1, 2,
5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5,
7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5,
8, 7, 6, 7, 7, 6, 5, 6, 6, 5, 4, 5, 7, 6, 5, 6,
11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9,
10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8,
11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9,
12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10,
},
{
9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2,
8, 4, 3, 2, 7, 3, 2, 1, 6, 2, 1, 0, 7, 3, 2, 1,
9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4,
11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4,
12, 8, 7, 6, 11, 7, 6, 5, 10, 6, 5, 4, 11, 7, 6, 5,
15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8,
14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7,
15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8,
16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9,
},
{
7, 8, 9, 13, 3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7,
6, 7, 8, 12, 2, 3, 4, 8, 1, 2, 3, 7, 0, 1, 2, 6,
7, 8, 9, 13, 3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
7, 8, 9, 13, 3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
9, 10, 11, 15, 5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9,
9, 10, 11, 15, 5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
9, 10, 11, 15, 5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9,
10, 11, 12, 16, 6, 7, 8, 12, 5, 6, 7, 11, 4, 5, 6, 10,
13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13,
12, 13, 14, 18, 8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12,
13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13,
14, 15, 16, 20, 10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14,
},
{
8, 7, 8, 9, 4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3,
7, 6, 7, 8, 3, 2, 3, 4, 2, 1, 2, 3, 1, 0, 1, 2,
8, 7, 8, 9, 4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
8, 7, 8, 9, 4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
10, 9, 10, 11, 6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5,
10, 9, 10, 11, 6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
10, 9, 10, 11, 6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5,
11, 10, 11, 12, 7, 6, 7, 8, 6, 5, 6, 7, 5, 4, 5, 6,
14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9,
13, 12, 13, 14, 9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8,
14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9,
15, 14, 15, 16, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10,
},
{
9, 8, 7, 8, 5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2,
8, 7, 6, 7, 4, 3, 2, 3, 3, 2, 1, 2, 2, 1, 0, 1,
9, 8, 7, 8, 5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
9, 8, 7, 8, 5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
11, 10, 9, 10, 7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4,
11, 10, 9, 10, 7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
11, 10, 9, 10, 7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4,
12, 11, 10, 11, 8, 7, 6, 7, 7, 6, 5, 6, 6, 5, 4, 5,
15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8,
14, 13, 12, 13, 10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7,
15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8,
16, 15, 14, 15, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9,
},
{
13, 9, 8, 7, 9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1,
12, 8, 7, 6, 8, 4, 3, 2, 7, 3, 2, 1, 6, 2, 1, 0,
13, 9, 8, 7, 9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
13, 9, 8, 7, 9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
15, 11, 10, 9, 11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3,
15, 11, 10, 9, 11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
15, 11, 10, 9, 11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3,
16, 12, 11, 10, 12, 8, 7, 6, 11, 7, 6, 5, 10, 6, 5, 4,
19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7,
18, 14, 13, 12, 14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6,
19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7,
20, 16, 15, 14, 16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8,
},
{
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
0, 1, 2, 6, 1, 2, 3, 7, 2, 3, 4, 8, 6, 7, 8, 12,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
4, 5, 6, 10, 5, 6, 7, 11, 6, 7, 8, 12, 10, 11, 12, 16,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16, 14, 15, 16, 20,
7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15, 13, 14, 15, 19,
6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14, 12, 13, 14, 18,
7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15, 13, 14, 15, 19,
},
{
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
1, 0, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4, 7, 6, 7, 8,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8, 11, 10, 11, 12,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12, 15, 14, 15, 16,
8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11, 14, 13, 14, 15,
7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10, 13, 12, 13, 14,
8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11, 14, 13, 14, 15,
},
{
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
2, 1, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3, 8, 7, 6, 7,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
6, 5, 4, 5, 7, 6, 5, 6, 8, 7, 6, 7, 12, 11, 10, 11,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11, 16, 15, 14, 15,
9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10, 15, 14, 13, 14,
8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9, 14, 13, 12, 13,
9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10, 15, 14, 13, 14,
},
{
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
6, 2, 1, 0, 7, 3, 2, 1, 8, 4, 3, 2, 12, 8, 7, 6,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
10, 6, 5, 4, 11, 7, 6, 5, 12, 8, 7, 6, 16, 12, 11, 10,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10, 20, 16, 15, 14,
13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 19, 15, 14, 13,
12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8, 18, 14, 13, 12,
13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 19, 15, 14, 13,
},
{
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
1, 2, 3, 7, 0, 1, 2, 6, 1, 2, 3, 7, 2, 3, 4, 8,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
5, 6, 7, 11, 4, 5, 6, 10, 5, 6, 7, 11, 6, 7, 8, 12,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16,
8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15,
7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14,
8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15,
},
{
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
2, 1, 2, 3, 1, 0, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
6, 5, 6, 7, 5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12,
9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11,
8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10,
9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11,
},
{
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
3, 2, 1, 2, 2, 1, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
7, 6, 5, 6, 6, 5, 4, 5, 7, 6, 5, 6, 8, 7, 6, 7,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11,
10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10,
9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9,
10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10,
},
{
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3,
7, 3, 2, 1, 6, 2, 1, 0, 7, 3, 2, 1, 8, 4, 3, 2,
8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3,
10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
11, 7, 6, 5, 10, 6, 5, 4, 11, 7, 6, 5, 12, 8, 7, 6,
10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5,
9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4,
10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5,
15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10,
14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9,
13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8,
14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9,
},
{
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8,
2, 3, 4, 8, 1, 2, 3, 7, 0, 1, 2, 6, 1, 2, 3, 7,
3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8,
5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
6, 7, 8, 12, 5, 6, 7, 11, 4, 5, 6, 10, 5, 6, 7, 11,
5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10,
4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9,
5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10,
10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15,
9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14,
8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13,
9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14,
},
{
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4,
3, 2, 3, 4, 2, 1, 2, 3, 1, 0, 1, 2, 2, 1, 2, 3,
4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4,
6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
7, 6, 7, 8, 6, 5, 6, 7, 5, 4, 5, 6, 6, 5, 6, 7,
6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6,
5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5,
6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6,
11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11,
10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10,
9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9,
10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10,
},
{
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3,
4, 3, 2, 3, 3, 2, 1, 2, 2, 1, 0, 1, 3, 2, 1, 2,
5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3,
7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
8, 7, 6, 7, 7, 6, 5, 6, 6, 5, 4, 5, 7, 6, 5, 6,
7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5,
6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4,
7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5,
12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10,
11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9,
10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8,
11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9,
},
{
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2,
8, 4, 3, 2, 7, 3, 2, 1, 6, 2, 1, 0, 7, 3, 2, 1,
9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2,
11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1, 8, 4, 3, 2,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
12, 8, 7, 6, 11, 7, 6, 5, 10, 6, 5, 4, 11, 7, 6, 5,
11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4,
10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2, 9, 5, 4, 3,
11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3, 10, 6, 5, 4,
16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9,
15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8,
14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7,
15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8,
},
{
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
7, 8, 9, 13, 3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7,
6, 7, 8, 12, 2, 3, 4, 8, 1, 2, 3, 7, 0, 1, 2, 6,
7, 8, 9, 13, 3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7,
9, 10, 11, 15, 5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
7, 8, 9, 13, 3, 4, 5, 9, 2, 3, 4, 8, 1, 2, 3, 7,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
10, 11, 12, 16, 6, 7, 8, 12, 5, 6, 7, 11, 4, 5, 6, 10,
9, 10, 11, 15, 5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9,
8, 9, 10, 14, 4, 5, 6, 10, 3, 4, 5, 9, 2, 3, 4, 8,
9, 10, 11, 15, 5, 6, 7, 11, 4, 5, 6, 10, 3, 4, 5, 9,
14, 15, 16, 20, 10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14,
13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13,
12, 13, 14, 18, 8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12,
13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13,
},
{
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
8, 7, 8, 9, 4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3,
7, 6, 7, 8, 3, 2, 3, 4, 2, 1, 2, 3, 1, 0, 1, 2,
8, 7, 8, 9, 4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3,
10, 9, 10, 11, 6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
8, 7, 8, 9, 4, 3, 4, 5, 3, 2, 3, 4, 2, 1, 2, 3,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
11, 10, 11, 12, 7, 6, 7, 8, 6, 5, 6, 7, 5, 4, 5, 6,
10, 9, 10, 11, 6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5,
9, 8, 9, 10, 5, 4, 5, 6, 4, 3, 4, 5, 3, 2, 3, 4,
10, 9, 10, 11, 6, 5, 6, 7, 5, 4, 5, 6, 4, 3, 4, 5,
15, 14, 15, 16, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10,
14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9,
13, 12, 13, 14, 9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8,
14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9,
},
{
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
9, 8, 7, 8, 5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2,
8, 7, 6, 7, 4, 3, 2, 3, 3, 2, 1, 2, 2, 1, 0, 1,
9, 8, 7, 8, 5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2,
11, 10, 9, 10, 7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
9, 8, 7, 8, 5, 4, 3, 4, 4, 3, 2, 3, 3, 2, 1, 2,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
12, 11, 10, 11, 8, 7, 6, 7, 7, 6, 5, 6, 6, 5, 4, 5,
11, 10, 9, 10, 7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4,
10, 9, 8, 9, 6, 5, 4, 5, 5, 4, 3, 4, 4, 3, 2, 3,
11, 10, 9, 10, 7, 6, 5, 6, 6, 5, 4, 5, 5, 4, 3, 4,
16, 15, 14, 15, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9,
15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8,
14, 13, 12, 13, 10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7,
15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8,
},
{
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
13, 9, 8, 7, 9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1,
12, 8, 7, 6, 8, 4, 3, 2, 7, 3, 2, 1, 6, 2, 1, 0,
13, 9, 8, 7, 9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1,
15, 11, 10, 9, 11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
13, 9, 8, 7, 9, 5, 4, 3, 8, 4, 3, 2, 7, 3, 2, 1,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
16, 12, 11, 10, 12, 8, 7, 6, 11, 7, 6, 5, 10, 6, 5, 4,
15, 11, 10, 9, 11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3,
14, 10, 9, 8, 10, 6, 5, 4, 9, 5, 4, 3, 8, 4, 3, 2,
15, 11, 10, 9, 11, 7, 6, 5, 10, 6, 5, 4, 9, 5, 4, 3,
20, 16, 15, 14, 16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8,
19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7,
18, 14, 13, 12, 14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6,
19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7,
},
{
6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14, 12, 13, 14, 18,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
0, 1, 2, 6, 1, 2, 3, 7, 2, 3, 4, 8, 6, 7, 8, 12,
7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15, 13, 14, 15, 19,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9, 7, 8, 9, 13,
8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16, 14, 15, 16, 20,
4, 5, 6, 10, 5, 6, 7, 11, 6, 7, 8, 12, 10, 11, 12, 16,
3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11, 9, 10, 11, 15,
2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10, 8, 9, 10, 14,
12, 13, 14, 18, 13, 14, 15, 19, 14, 15, 16, 20, 18, 19, 20, 24,
8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16, 14, 15, 16, 20,
7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15, 13, 14, 15, 19,
6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14, 12, 13, 14, 18,
},
{
7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10, 13, 12, 13, 14,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
1, 0, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4, 7, 6, 7, 8,
8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11, 14, 13, 14, 15,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5, 8, 7, 8, 9,
9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12, 15, 14, 15, 16,
5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8, 11, 10, 11, 12,
4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7, 10, 9, 10, 11,
3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6, 9, 8, 9, 10,
13, 12, 13, 14, 14, 13, 14, 15, 15, 14, 15, 16, 19, 18, 19, 20,
9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12, 15, 14, 15, 16,
8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11, 14, 13, 14, 15,
7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10, 13, 12, 13, 14,
},
{
8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9, 14, 13, 12, 13,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
2, 1, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3, 8, 7, 6, 7,
9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10, 15, 14, 13, 14,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4, 9, 8, 7, 8,
10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11, 16, 15, 14, 15,
6, 5, 4, 5, 7, 6, 5, 6, 8, 7, 6, 7, 12, 11, 10, 11,
5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6, 11, 10, 9, 10,
4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5, 10, 9, 8, 9,
14, 13, 12, 13, 15, 14, 13, 14, 16, 15, 14, 15, 20, 19, 18, 19,
10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11, 16, 15, 14, 15,
9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10, 15, 14, 13, 14,
8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9, 14, 13, 12, 13,
},
{
12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8, 18, 14, 13, 12,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
6, 2, 1, 0, 7, 3, 2, 1, 8, 4, 3, 2, 12, 8, 7, 6,
13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 19, 15, 14, 13,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
7, 3, 2, 1, 8, 4, 3, 2, 9, 5, 4, 3, 13, 9, 8, 7,
14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10, 20, 16, 15, 14,
10, 6, 5, 4, 11, 7, 6, 5, 12, 8, 7, 6, 16, 12, 11, 10,
9, 5, 4, 3, 10, 6, 5, 4, 11, 7, 6, 5, 15, 11, 10, 9,
8, 4, 3, 2, 9, 5, 4, 3, 10, 6, 5, 4, 14, 10, 9, 8,
18, 14, 13, 12, 19, 15, 14, 13, 20, 16, 15, 14, 24, 20, 19, 18,
14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10, 20, 16, 15, 14,
13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 19, 15, 14, 13,
12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8, 18, 14, 13, 12,
},
{
7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
1, 2, 3, 7, 0, 1, 2, 6, 1, 2, 3, 7, 2, 3, 4, 8,
8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
2, 3, 4, 8, 1, 2, 3, 7, 2, 3, 4, 8, 3, 4, 5, 9,
9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16,
5, 6, 7, 11, 4, 5, 6, 10, 5, 6, 7, 11, 6, 7, 8, 12,
4, 5, 6, 10, 3, 4, 5, 9, 4, 5, 6, 10, 5, 6, 7, 11,
3, 4, 5, 9, 2, 3, 4, 8, 3, 4, 5, 9, 4, 5, 6, 10,
13, 14, 15, 19, 12, 13, 14, 18, 13, 14, 15, 19, 14, 15, 16, 20,
9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15, 10, 11, 12, 16,
8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 9, 10, 11, 15,
7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13, 8, 9, 10, 14,
},
{
8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
2, 1, 2, 3, 1, 0, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4,
9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
3, 2, 3, 4, 2, 1, 2, 3, 3, 2, 3, 4, 4, 3, 4, 5,
10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12,
6, 5, 6, 7, 5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8,
5, 4, 5, 6, 4, 3, 4, 5, 5, 4, 5, 6, 6, 5, 6, 7,
4, 3, 4, 5, 3, 2, 3, 4, 4, 3, 4, 5, 5, 4, 5, 6,
14, 13, 14, 15, 13, 12, 13, 14, 14, 13, 14, 15, 15, 14, 15, 16,
10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11, 11, 10, 11, 12,
9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 10, 9, 10, 11,
8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 9, 8, 9, 10,
},
{
9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8, 10, 9, 8, 9,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
3, 2, 1, 2, 2, 1, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3,
10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 11, 10, 9, 10,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
4, 3, 2, 3, 3, 2, 1, 2, 4, 3, 2, 3, 5, 4, 3, 4,
11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10, 12, 11, 10, 11,
7, 6, 5, 6, 6, 5, 4, 5, 7, 6, 5, 6, 8, 7, 6, 7,
6, 5, 4, 5, 5, 4, 3, 4, 6, 5, 4, 5, 7, 6, 5, 6,
5, 4, 3, 4, 4, 3, 2, 3, 5, 4, 3, 4, 6, 5, 4, 5,
15, 14, 13, 14, 14, 13, 12, 13, 15, 14, 13, 14, 16, 15, 14, 15,