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yara/libyara/tlshc/tlsh_util.c
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HoundThe 19ac2efeb8 Integrate tlshc library, calculate telfhash and import hash in ELF module (#1624)
* Add simple_str string implementation

* Integrate tlshc library, calculate telfhash and import hash in the ELF module.

* Hide usage of MD5 into #ifdef crypto
2022-06-20 12:25:33 +02:00

3038 lines
260 KiB
C

#include <math.h>
static unsigned char bit_pairs_diff_table[][256] = {
{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, 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},
{13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8, 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, 14, 10, 9, 8, 13, 9, 8, 7,
14, 10, 9, 8, 15, 11, 10, 9, 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, 15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10,
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,
19, 15, 14, 13, 18, 14, 13, 12, 19, 15, 14, 13, 20, 16, 15, 14, 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},
{8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13, 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, 9, 10, 11, 15, 8, 9, 10, 14,
7, 8, 9, 13, 8, 9, 10, 14, 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, 10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15,
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,
14, 15, 16, 20, 13, 14, 15, 19, 12, 13, 14, 18, 13, 14, 15, 19, 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, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 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, 10, 9, 10, 11, 9, 8, 9, 10,
8, 7, 8, 9, 9, 8, 9, 10, 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, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11,
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,
15, 14, 15, 16, 14, 13, 14, 15, 13, 12, 13, 14, 14, 13, 14, 15, 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, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8, 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, 11, 10, 9, 10, 10, 9, 8, 9,
9, 8, 7, 8, 10, 9, 8, 9, 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, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10,
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,
16, 15, 14, 15, 15, 14, 13, 14, 14, 13, 12, 13, 15, 14, 13, 14, 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},
{14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 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, 15, 11, 10, 9, 14, 10, 9, 8,
13, 9, 8, 7, 14, 10, 9, 8, 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, 16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9,
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,
20, 16, 15, 14, 19, 15, 14, 13, 18, 14, 13, 12, 19, 15, 14, 13, 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},
{12, 13, 14, 18, 8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 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, 13, 14, 15, 19, 9, 10, 11, 15,
8, 9, 10, 14, 7, 8, 9, 13, 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, 14, 15, 16, 20, 10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14,
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,
18, 19, 20, 24, 14, 15, 16, 20, 13, 14, 15, 19, 12, 13, 14, 18, 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, 12, 13, 14, 9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 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, 14, 13, 14, 15, 10, 9, 10, 11,
9, 8, 9, 10, 8, 7, 8, 9, 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, 15, 14, 15, 16, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10,
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,
19, 18, 19, 20, 15, 14, 15, 16, 14, 13, 14, 15, 13, 12, 13, 14, 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, 12, 13, 10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 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, 15, 14, 13, 14, 11, 10, 9, 10,
10, 9, 8, 9, 9, 8, 7, 8, 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, 16, 15, 14, 15, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9,
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,
20, 19, 18, 19, 16, 15, 14, 15, 15, 14, 13, 14, 14, 13, 12, 13, 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},
{18, 14, 13, 12, 14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 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, 19, 15, 14, 13, 15, 11, 10, 9,
14, 10, 9, 8, 13, 9, 8, 7, 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, 20, 16, 15, 14, 16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8,
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,
24, 20, 19, 18, 20, 16, 15, 14, 19, 15, 14, 13, 18, 14, 13, 12, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{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, 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},
{14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 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, 13, 9, 8, 7, 12, 8, 7, 6,
13, 9, 8, 7, 14, 10, 9, 8, 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, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9,
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,
15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10, 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},
{9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 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, 8, 9, 10, 14, 7, 8, 9, 13,
6, 7, 8, 12, 7, 8, 9, 13, 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, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14,
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,
10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15, 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},
{10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 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, 9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 8, 7,
8, 9, 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, 10, 9,
10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10, 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, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11,
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},
{11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 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, 10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 9, 8,
7, 8, 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, 11, 10,
9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9, 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, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10,
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},
{15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 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, 14, 10, 9, 8, 13, 9, 8, 7,
12, 8, 7, 6, 13, 9, 8, 7, 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, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8,
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,
16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 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},
{13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 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, 12, 13, 14, 18, 8, 9, 10, 14,
7, 8, 9, 13, 6, 7, 8, 12, 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, 13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13,
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,
14, 15, 16, 20, 10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 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},
{14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 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, 13, 12, 13, 14, 9, 8, 9, 10,
8, 7, 8, 9, 7, 6, 7, 8, 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, 14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9,
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,
15, 14, 15, 16, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 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},
{15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 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, 14, 13, 12, 13, 10, 9, 8, 9,
9, 8, 7, 8, 8, 7, 6, 7, 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, 15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8,
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,
16, 15, 14, 15, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 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},
{19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 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, 18, 14, 13, 12, 14, 10, 9, 8,
13, 9, 8, 7, 12, 8, 7, 6, 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, 19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7,
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,
20, 16, 15, 14, 16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{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, 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, 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},
{15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 16, 12, 11, 10, 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, 14, 10, 9, 8, 13, 9, 8, 7,
14, 10, 9, 8, 15, 11, 10, 9, 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, 13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8,
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,
14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9, 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},
{10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 9, 10, 11, 15, 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, 9, 10, 11, 15, 8, 9, 10, 14,
7, 8, 9, 13, 8, 9, 10, 14, 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, 8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13,
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,
9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14, 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},
{11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 10, 9, 10, 11, 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, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8,
9, 10, 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, 9, 8,
9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 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, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10,
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},
{12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 11, 10, 9, 10, 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, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9,
8, 9, 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, 10, 9,
8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8, 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, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9,
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},
{16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 15, 11, 10, 9, 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, 15, 11, 10, 9, 14, 10, 9, 8,
13, 9, 8, 7, 14, 10, 9, 8, 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, 14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7,
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,
15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 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},
{14, 15, 16, 20, 10, 11, 12, 16, 9, 10, 11, 15, 8, 9, 10, 14, 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, 13, 14, 15, 19, 9, 10, 11, 15,
8, 9, 10, 14, 7, 8, 9, 13, 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, 12, 13, 14, 18, 8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12,
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,
13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 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},
{15, 14, 15, 16, 11, 10, 11, 12, 10, 9, 10, 11, 9, 8, 9, 10, 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, 14, 13, 14, 15, 10, 9, 10, 11,
9, 8, 9, 10, 8, 7, 8, 9, 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, 13, 12, 13, 14, 9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8,
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,
14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 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},
{16, 15, 14, 15, 12, 11, 10, 11, 11, 10, 9, 10, 10, 9, 8, 9, 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, 15, 14, 13, 14, 11, 10, 9, 10,
10, 9, 8, 9, 9, 8, 7, 8, 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, 14, 13, 12, 13, 10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7,
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,
15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 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},
{20, 16, 15, 14, 16, 12, 11, 10, 15, 11, 10, 9, 14, 10, 9, 8, 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, 19, 15, 14, 13, 15, 11, 10, 9,
14, 10, 9, 8, 13, 9, 8, 7, 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, 18, 14, 13, 12, 14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6,
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,
19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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, 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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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, 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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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, 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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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, 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, 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, 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,
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},
{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, 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, 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, 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},
{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, 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, 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, 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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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, 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, 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, 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,
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},
{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, 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, 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, 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},
{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, 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, 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, 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},
{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, 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, 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,
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, 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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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},
{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, 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, 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,
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, 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, 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, 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,
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},
{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, 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, 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,
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},
{15, 14, 13, 14, 14, 13, 12, 13, 15, 14, 13, 14, 16, 15, 14, 15, 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, 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, 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,
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},
{19, 15, 14, 13, 18, 14, 13, 12, 19, 15, 14, 13, 20, 16, 15, 14, 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, 15, 11, 10, 9, 14, 10, 9, 8,
15, 11, 10, 9, 16, 12, 11, 10, 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, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8, 15, 11, 10, 9,
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,
13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 14, 10, 9, 8, 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},
{14, 15, 16, 20, 13, 14, 15, 19, 12, 13, 14, 18, 13, 14, 15, 19, 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, 10, 11, 12, 16, 9, 10, 11, 15,
8, 9, 10, 14, 9, 10, 11, 15, 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, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13, 8, 9, 10, 14,
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,
8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 7, 8, 9, 13, 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},
{15, 14, 15, 16, 14, 13, 14, 15, 13, 12, 13, 14, 14, 13, 14, 15, 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, 11, 10, 11, 12, 10, 9, 10, 11,
9, 8, 9, 10, 10, 9, 10, 11, 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, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9, 9, 8, 9, 10,
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,
9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 8, 7, 8, 9, 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},
{16, 15, 14, 15, 15, 14, 13, 14, 14, 13, 12, 13, 15, 14, 13, 14, 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, 12, 11, 10, 11, 11, 10, 9, 10,
10, 9, 8, 9, 11, 10, 9, 10, 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, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8, 10, 9, 8, 9,
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,
10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 9, 8, 7, 8, 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},
{20, 16, 15, 14, 19, 15, 14, 13, 18, 14, 13, 12, 19, 15, 14, 13, 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, 16, 12, 11, 10, 15, 11, 10, 9,
14, 10, 9, 8, 15, 11, 10, 9, 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, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7, 14, 10, 9, 8,
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,
14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 13, 9, 8, 7, 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},
{18, 19, 20, 24, 14, 15, 16, 20, 13, 14, 15, 19, 12, 13, 14, 18, 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, 14, 15, 16, 20, 10, 11, 12, 16,
9, 10, 11, 15, 8, 9, 10, 14, 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, 13, 14, 15, 19, 9, 10, 11, 15, 8, 9, 10, 14, 7, 8, 9, 13,
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,
12, 13, 14, 18, 8, 9, 10, 14, 7, 8, 9, 13, 6, 7, 8, 12, 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},
{19, 18, 19, 20, 15, 14, 15, 16, 14, 13, 14, 15, 13, 12, 13, 14, 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, 15, 14, 15, 16, 11, 10, 11, 12,
10, 9, 10, 11, 9, 8, 9, 10, 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, 14, 13, 14, 15, 10, 9, 10, 11, 9, 8, 9, 10, 8, 7, 8, 9,
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,
13, 12, 13, 14, 9, 8, 9, 10, 8, 7, 8, 9, 7, 6, 7, 8, 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},
{20, 19, 18, 19, 16, 15, 14, 15, 15, 14, 13, 14, 14, 13, 12, 13, 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, 16, 15, 14, 15, 12, 11, 10, 11,
11, 10, 9, 10, 10, 9, 8, 9, 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, 15, 14, 13, 14, 11, 10, 9, 10, 10, 9, 8, 9, 9, 8, 7, 8,
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,
14, 13, 12, 13, 10, 9, 8, 9, 9, 8, 7, 8, 8, 7, 6, 7, 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},
{24, 20, 19, 18, 20, 16, 15, 14, 19, 15, 14, 13, 18, 14, 13, 12, 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, 20, 16, 15, 14, 16, 12, 11, 10,
15, 11, 10, 9, 14, 10, 9, 8, 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, 19, 15, 14, 13, 15, 11, 10, 9, 14, 10, 9, 8, 13, 9, 8, 7,
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,
18, 14, 13, 12, 14, 10, 9, 8, 13, 9, 8, 7, 12, 8, 7, 6, 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}};
//////////////////////////////////////////////
// topval is the topval of an array of values of len in l_capturing()
//////////////////////////////////////////////
unsigned int topval[170] = {
1, 2, 3, 5, 7, 11, 17, 25,
38, 57, 86, 129, 194, 291, 437, 656,
854, 1110, 1443, 1876, 2439, 3171, 3475, 3823,
4205, 4626, 5088, 5597, 6157, 6772, 7450, 8195,
9014, 9916, 10907, 11998, 13198, 14518, 15970, 17567,
19323, 21256, 23382, 25720, 28292, 31121, 34233, 37656,
41422, 45564, 50121, 55133, 60646, 66711, 73382, 80721,
88793, 97672, 107439, 118183, 130002, 143002, 157302, 173032,
190335, 209369, 230306, 253337, 278670, 306538, 337191, 370911,
408002, 448802, 493682, 543050, 597356, 657091, 722800, 795081,
874589, 962048, 1058252, 1164078, 1280486, 1408534, 1549388, 1704327,
1874759, 2062236, 2268459, 2495305, 2744836, 3019320, 3321252, 3653374,
4018711, 4420582, 4862641, 5348905, 5883796, 6472176, 7119394, 7831333,
8614467, 9475909, 10423501, 11465851, 12612437, 13873681, 15261050, 16787154,
18465870, 20312458, 22343706, 24578077, 27035886, 29739474, 32713425, 35984770,
39583245, 43541573, 47895730, 52685306, 57953837, 63749221, 70124148, 77136564,
84850228, 93335252, 102668779, 112935659, 124229227, 136652151, 150317384, 165349128,
181884040, 200072456, 220079703, 242087671, 266296456, 292926096, 322218735, 354440623,
389884688, 428873168, 471760495, 518936559, 570830240, 627913311, 690704607, 759775136,
835752671, 919327967, 1011260767, 1112386880, 1223623232, 1345985727, 1480584256, 1628642751,
1791507135, 1970657856, 2167723648, 2384496256, 2622945920, 2885240448, 3173764736, 3491141248,
3840255616, 4224281216};
unsigned char l_capturing(unsigned int len)
{
int bottom = 0;
int top = 170;
unsigned char idx = 85;
while (1) {
if (idx == 0) {
return (idx);
}
if ((len <= topval[idx]) && (len > topval[idx - 1])) {
// printf("len=%u idx=%u\n", len, idx);
return (idx);
}
if (len < topval[idx]) {
top = idx - 1;
} else {
bottom = idx + 1;
}
idx = (bottom + top) / 2;
}
}
int mod_diff(unsigned int x, unsigned int y, unsigned int R)
{
int dl = 0;
int dr = 0;
if (y > x) {
dl = (int)(y - x);
dr = (int)(x + R - y);
} else {
dl = (int)(x - y);
dr = (int)(y + R - x);
}
return (dl > dr ? dr : dl);
}
///////////////////////////////////////////////////////////////
#include <tlshc/tlsh.h>
#ifdef TLSH_DISTANCE_PARAMETERS
#include <stdlib.h> // for abs()
extern int hist_diff1_add; // default value 1
extern int hist_diff2_add; // default value 2
extern int hist_diff3_add; // default value 6
static int pairbit_diff(int pairb, int opairb)
{
int diff = abs(pairb - opairb);
if (diff == 0) {
// printf("PBD: %d\n", diff);
return (0);
} else if (diff == 1) {
// printf("PBD: diff=%d %d\n", diff, hist_diff1_add);
return (hist_diff1_add);
} else if (diff == 2) {
// printf("PBD: diff=%d %d\n", diff, hist_diff2_add);
return (hist_diff2_add);
}
// printf("PBD: diff=%d %d\n", diff, hist_diff3_add);
return (hist_diff3_add);
}
static int byte_diff(unsigned char bv, unsigned char obv)
{
int h1 = (unsigned char)bv / 16;
int oh1 = (unsigned char)obv / 16;
int h2 = (unsigned char)bv % 16;
int oh2 = (unsigned char)obv % 16;
int p1 = h1 / 4;
int op1 = oh1 / 4;
int p2 = h1 % 4;
int op2 = oh1 % 4;
int p3 = h2 / 4;
int op3 = oh2 / 4;
int p4 = h2 % 4;
int op4 = oh2 % 4;
int diff = 0;
diff = diff + pairbit_diff(p1, op1);
diff = diff + pairbit_diff(p2, op2);
diff = diff + pairbit_diff(p3, op3);
diff = diff + pairbit_diff(p4, op4);
return (diff);
}
///////////////////////////////////////////////////////////////
static int test_distance = 1;
#endif
int h_distance(int len, const unsigned char x[], const unsigned char y[])
{
int diff = 0;
#ifdef TLSH_DISTANCE_PARAMETERS
if (test_distance) {
for (int i = 0; i < len; i++) {
int dist2 = byte_diff(x[i], y[i]);
// printf("warning x[%d]=%d y[%d]=%d dist2=%d\n", i, x[i], i, y[i],
// dist2);
if ((hist_diff1_add == 1) && (hist_diff2_add == 2) && (hist_diff3_add == 6)) {
int dist1 = bit_pairs_diff_table[x[i]][y[i]];
if (dist1 != dist2) {
printf(
"warning x[%d]=%d y[%d]=%d dist1=%d dist2=%d\n",
i,
x[i],
i,
y[i],
dist1,
dist2);
}
}
diff += dist2;
}
return diff;
}
#endif
for (int i = 0; i < len; i++) {
diff += bit_pairs_diff_table[x[i]][y[i]];
}
return diff;
}
unsigned char swap_byte(const unsigned char in)
{
unsigned char byte = 0;
byte = ((in & 0xF0) >> 4) & 0x0F;
byte |= ((in & 0x0F) << 4) & 0xF0;
return byte;
}
void to_hex(unsigned char *psrc, int len, char *pdest)
{
static unsigned char HexLookup[513] = {"000102030405060708090A0B0C0D0E0F"
"101112131415161718191A1B1C1D1E1F"
"202122232425262728292A2B2C2D2E2F"
"303132333435363738393A3B3C3D3E3F"
"404142434445464748494A4B4C4D4E4F"
"505152535455565758595A5B5C5D5E5F"
"606162636465666768696A6B6C6D6E6F"
"707172737475767778797A7B7C7D7E7F"
"808182838485868788898A8B8C8D8E8F"
"909192939495969798999A9B9C9D9E9F"
"A0A1A2A3A4A5A6A7A8A9AAABACADAEAF"
"B0B1B2B3B4B5B6B7B8B9BABBBCBDBEBF"
"C0C1C2C3C4C5C6C7C8C9CACBCCCDCECF"
"D0D1D2D3D4D5D6D7D8D9DADBDCDDDEDF"
"E0E1E2E3E4E5E6E7E8E9EAEBECEDEEEF"
"F0F1F2F3F4F5F6F7F8F9FAFBFCFDFEFF"};
unsigned short *pwHex = (unsigned short *)HexLookup;
unsigned short *pwDest = (unsigned short *)pdest;
for (int i = 0; i < len; i++) {
*pwDest = pwHex[*psrc];
pwDest++;
psrc++;
}
*((unsigned char *)pwDest) = 0; // terminate the string
}
void from_hex(const char *psrc, int len, unsigned char *pdest)
{
static unsigned char DecLookup[] = {
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0, // gap before
// first hex
// digit
0,
0,
0,
0,
0,
0,
0,
0,
0,
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,
2,
3,
4,
5,
6,
7,
8,
9, // 0123456789
0,
0,
0,
0,
0,
0,
0, // :;<=>?@ (gap)
10,
11,
12,
13,
14,
15, // ABCDEF
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0, // GHIJKLMNOPQRS (gap)
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0, // TUVWXYZ[/]^_` (gap)
10,
11,
12,
13,
14,
15 // abcdef
};
for (int i = 0; i < len; i += 2) {
unsigned d = DecLookup[*(unsigned char *)(psrc + i)] << 4;
d |= DecLookup[*(unsigned char *)(psrc + i + 1)];
*pdest++ = d;
}
}