Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -1 -3 -4 -5 -5 -4 -2 -1 1 2 3 5 8 11 14 17 20 22 23 25 26 27 27 28 27 27 25 24 22 20 17 15 14 12 11 10 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 10 10 9 8 7 6 5 5 5 5 5 6 7 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 9 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 14 15 15 15 15 15 14 13 12 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 10 9 8 8 8 8 9 10 12 14 16 19 20 20 19 19 19 20 20 20 19 17 14 12 10 9 8 8 8 8 8 8 8 8 9 9 10 11 13 14 15 16 16 14 11 9 7 7 9 12 15 17 17 14 10 6 5 6 13 21 29 34 36 35 30 25 21 18 15 13 11 11 10 11 12 12 12 12 11 11 11 11 12 13 13 14 14 15 14 14 12 10 8 8 8 7 7 7 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 11 12 12 11 11 12 14 14 13 12 10 9 8 6 4 4 5 8 12 15 15 14 12 11 10 10 10 10 10 9 8 7 8 8 10 11 11 10 9 9 11 12 nan
nan 2 -1 -3 -4 -5 -4 -3 -0 2 3 4 5 6 8 10 12 15 18 20 22 23 25 25 26 26 26 26 25 24 22 20 17 15 14 12 11 10 9 9 9 8 8 8 7 8 8 9 10 10 10 10 10 10 9 9 8 7 6 5 4 4 4 5 5 6 8 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 11 10 9 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 13 13 14 14 14 14 14 13 12 12 11 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 11 10 9 8 8 8 8 9 10 12 14 16 18 20 21 21 21 20 20 20 19 18 16 14 12 10 9 8 8 8 8 8 8 8 8 8 9 9 11 12 14 15 16 16 14 12 9 8 7 9 11 13 15 16 14 10 7 5 5 10 19 27 33 36 35 31 27 22 18 16 13 11 10 10 10 10 11 12 12 12 11 11 12 13 13 13 14 14 14 14 13 12 10 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 10 9 9 9 10 10 11 11 12 11 11 13 15 16 15 13 12 10 8 7 5 5 6 8 12 15 17 16 14 12 11 10 10 11 10 10 9 8 8 8 9 10 10 10 9 9 10 11 nan
nan 4 2 -1 -2 -3 -3 -2 0 2 3 4 5 5 5 6 8 12 14 17 19 21 23 24 25 25 26 26 25 24 23 21 19 17 15 13 12 11 10 9 9 9 8 8 8 7 8 8 9 10 10 10 10 10 9 9 9 8 7 6 5 5 4 4 4 5 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 11 12 13 13 13 12 10 9 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 12 12 11 11 11 10 9 9 8 8 8 8 9 9 9 10 10 9 9 9 9 9 8 9 9 10 10 11 11 11 11 10 9 9 8 8 9 9 11 12 14 16 18 20 21 21 22 21 20 20 19 17 16 14 12 10 9 8 8 8 8 8 8 8 8 8 8 9 10 12 14 15 17 16 15 13 10 8 7 8 10 13 14 15 14 11 7 5 4 8 15 23 30 35 35 32 27 23 19 16 13 11 10 10 10 10 11 11 12 12 11 11 11 12 12 12 13 13 13 13 13 12 10 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 10 11 11 11 11 11 10 10 10 10 11 11 12 11 12 12 14 15 16 14 12 10 8 6 6 5 7 9 12 15 16 16 15 13 12 11 11 11 10 10 10 9 8 9 9 10 10 10 10 10 10 10 nan
nan 6 4 2 0 -0 -1 1 2 2 4 4 5 4 4 4 5 7 10 13 16 18 21 22 24 24 25 25 25 25 24 23 21 19 17 15 13 12 11 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 7 6 5 4 3 4 5 6 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 11 11 12 13 13 14 13 12 11 9 8 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 12 12 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 11 12 14 16 18 20 22 22 22 22 21 20 18 17 15 13 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 12 15 16 17 17 16 13 11 9 8 8 10 13 14 15 14 11 8 6 4 6 12 20 28 33 35 32 27 23 19 15 12 11 10 10 10 10 11 11 11 12 11 11 10 10 10 10 11 12 13 13 12 11 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 7 8 10 11 12 13 13 12 12 11 11 11 11 11 11 12 11 11 11 13 14 15 14 12 10 8 7 6 6 7 9 12 14 16 16 15 14 13 12 12 11 10 10 9 9 8 8 9 10 10 11 10 10 10 10 nan
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nan 12 11 9 8 5 4 5 7 9 9 7 4 2 1 1 0 -0 0 1 3 6 9 12 14 17 19 21 23 24 25 25 25 25 25 25 23 22 19 18 16 14 13 12 11 10 9 9 9 9 9 9 9 10 10 11 10 10 11 11 11 11 10 8 6 4 4 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 11 12 12 12 12 11 11 10 10 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 9 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 11 12 13 15 15 16 16 14 13 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 11 12 13 13 13 13 12 12 11 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 12 14 16 19 21 23 24 24 23 22 20 17 15 13 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 12 15 17 18 18 17 14 13 11 9 8 9 11 14 16 17 16 12 8 5 2 3 8 14 24 32 36 35 32 26 21 17 14 13 12 12 12 12 12 12 12 12 12 12 10 8 7 7 8 10 12 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 9 8 8 8 7 7 7 6 6 6 6 6 6 7 8 8 9 10 10 9 9 9 9 10 11 11 11 12 12 12 11 11 10 10 10 12 14 16 16 14 13 11 10 10 10 11 12 12 13 13 13 12 13 14 15 16 15 14 13 11 10 9 9 10 11 11 11 12 13 15 nan
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nan 12 11 11 10 9 9 10 11 12 12 11 9 6 4 3 2 2 2 2 2 3 4 5 8 11 14 17 20 22 23 24 25 25 25 25 26 25 24 23 21 19 17 15 13 11 10 9 8 8 8 8 8 8 9 9 9 10 10 11 12 12 12 10 8 6 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 6 5 4 5 5 6 7 8 9 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 13 14 15 15 16 15 14 12 11 10 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 9 10 11 13 14 15 15 15 15 14 13 13 12 11 11 11 11 11 11 11 12 12 13 13 12 11 11 11 12 14 16 18 20 22 23 23 21 19 18 15 13 12 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 10 12 14 16 17 17 16 14 12 11 10 9 9 10 12 15 17 16 14 10 5 2 1 4 10 19 28 35 37 36 32 27 21 18 15 13 12 12 12 13 13 13 14 14 15 15 14 13 11 11 12 13 14 14 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 8 9 10 9 9 8 7 8 9 9 10 11 11 11 11 11 11 10 10 10 11 14 15 16 15 13 11 10 9 8 8 8 8 10 11 12 12 13 14 15 15 16 16 16 14 12 10 9 9 10 12 14 17 19 19 nan
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CAPE
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15 16 17 18 19 19 18 18 18 17 17 18 18 19 19 19 19 19 19 19 19 18 18 18 19 18 17 15 13 12 13 13 15 16 16 16 15 13 13 13 13 14 14 12 10 10 9 9 8 7 6 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 4 6 8 9 11 13 15 17 19 20 21 23 25 26 27 28 29 29 26 24 24 24 25 25 25 23 19 13 10 8 7 6 6 6 6 7 7 8 8 9 10 10 10 11 12 13 14 15 16 17 16 16 15 15 14 14 13 11 10 9 10 10 10 10 10 11 12 13 14 15 17 19 21 22 23 22 23 24 25 26 28 29 30 30 30 30 30 30 30 30 30 30 29 29 29 30 31 33 35 37 39 40 40 41 41 41 41 40 40 40 40 40 41 42 42 44 46 48 51 52 52 50 49 49 46 43 41 40 41 42 44 48 53 56 55 53 51 50 52 52 51 52 53 56 54 54 54 55 56 55 53 51 50 50 50 52 52 53 54 54 54 55 55 56 56 56 55 55 55 56 56 57 58 58 57 57 58 57 54 53 53 53 53 52 54 54 54 54 54 57 65 73 81 87 92 98 103 109 115 119 124 130 133 136 139 145 149 151 154 158 161 161 162 163 167 170 174 179 182 181 173 164 154 144 138 137 140 144 151 157 168 182 202 216 225 235 242 246 231 216 198 177 156 137 130 126 126 142 162 183 194 188 169 151 132 110 85 72 66 70 79 90 93 100 110 125 125 120 117 115 112 104 96 91 93 96 95 85 86 90 96 97 96 94 93 87 73 63 61 72 99 119 129 131 134 140 139 136 131 123 115 107 95 85 76 75 72 68 67 70 75 83 95 110 125 128 124 113 99 85 77 71 67 66 66 68 71 73 73 71 76 81 85 88 90 90 89 87 84 81 79 77 73 71 70 70 72 76 80 82 83 84 84 81 70 63 61 57 53 47 40 33 27 24 23 23 25 28 30 29 26 22 15 10 6 6 9 11 7 4 2 1 1 2 2 3 4 4 3 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 2 1 2 2 1 1 2 2 2 2 2 3 3
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12 13 13 14 14 13 12 12 13 14 15 15 16 16 16 16 16 16 16 16 16 15 15 14 14 13 13 12 12 12 12 12 12 12 11 11 10 8 7 6 5 5 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 4 5 5 6 7 9 10 11 13 14 15 17 18 19 20 21 22 22 23 25 26 28 29 30 31 31 30 30 28 26 24 21 19 16 14 12 12 11 11 11 12 12 12 12 12 12 12 13 14 14 16 17 17 17 18 17 17 16 15 15 13 12 10 9 7 7 6 7 7 8 8 9 10 11 13 14 15 17 18 18 20 20 20 21 22 22 23 24 25 26 26 27 27 26 25 25 25 25 25 26 27 27 27 28 28 28 28 29 30 32 33 35 37 38 40 41 44 47 50 52 52 52 50 47 45 44 45 47 47 47 46 45 46 47 50 55 60 62 62 62 63 63 63 63 62 60 58 55 54 53 53 54 54 54 54 53 51 51 53 54 53 49 48 47 46 45 44 42 40 39 41 45 49 52 53 52 52 52 52 54 54 54 53 52 51 50 49 49 49 50 50 50 50 53 57 61 66 71 74 77 81 91 101 113 124 132 136 132 129 124 119 117 119 121 123 128 133 138 138 135 129 120 115 112 115 117 117 117 118 121 131 144 158 165 168 166 156 144 131 120 114 116 123 134 150 161 170 183 193 199 195 187 177 168 156 142 131 125 123 120 118 114 122 130 139 136 130 118 116 114 110 106 103 102 106 110 112 115 119 121 120 118 116 110 103 96 89 85 92 97 101 103 98 92 90 94 98 100 97 92 88 83 80 84 97 115 139 145 144 142 138 132 124 123 125 126 130 135 132 130 128 124 124 126 117 108 98 87 76 64 62 62 65 64 63 60 63 63 59 58 57 57 56 56 56 58 61 64 67 70 74 75 73 68 70 71 68 63 59 58 58 57 57 58 58 60 60 60 61 60 58 54 52 50 48 46 42 38 32 24 17 11 6 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1 2 2 3 4 4 4 4 4 4
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11 10 10 10 10 10 10 11 11 12 13 14 14 14 14 15 15 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 12 12 12 12 13 12 11 9 7 5 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 4 4 5 6 7 8 9 10 12 13 15 16 17 18 19 20 20 22 24 26 28 30 31 32 32 32 31 31 29 27 25 22 20 17 15 14 12 11 11 11 11 11 11 12 12 12 12 13 13 14 15 16 16 17 18 18 18 17 16 16 15 13 11 9 8 6 7 7 8 8 8 9 9 10 12 13 13 13 14 16 18 20 22 25 26 25 27 28 29 29 30 32 33 33 33 33 33 32 32 32 31 31 31 31 30 29 28 28 27 28 28 28 30 31 32 34 35 36 38 40 43 48 49 49 48 47 47 46 44 41 39 40 42 44 46 46 46 46 47 49 52 55 59 63 64 63 61 58 56 54 53 54 54 53 52 52 52 52 52 52 51 49 47 46 46 48 50 48 45 43 41 41 41 41 41 41 43 46 49 51 53 55 55 55 56 55 53 52 51 50 51 53 53 54 54 55 57 61 66 71 76 80 83 86 87 91 99 113 127 131 131 130 124 120 118 120 122 126 129 132 136 140 143 141 137 131 125 123 123 120 116 112 111 111 113 122 135 150 160 166 164 152 137 121 112 107 112 123 137 153 170 186 192 190 182 177 173 169 159 144 122 107 97 95 100 109 121 129 133 127 118 109 101 97 96 107 112 114 117 113 107 112 126 142 142 135 123 104 90 82 84 88 94 90 87 84 81 81 82 85 89 94 95 93 88 84 82 85 92 103 122 131 136 136 148 160 150 137 126 127 130 133 134 131 127 129 129 128 123 120 117 107 96 84 80 77 75 73 70 66 63 61 59 58 58 57 57 57 58 57 57 58 59 61 62 65 66 60 56 53 51 51 50 50 49 47 47 48 49 50 53 55 57 58 60 60 59 57 54 51 47 45 42 40 34 27 19 12 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 2 3 3 2 2 2 2 3 4 4 4 5 6 4 3 2 1 1 1 1 0 0 0 0 0 0 1 2 3 5 5 5 5 4 4 3 3
11 10 10 9 9 9 10 11 11 11 12 13 13 13 13 14 14 14 14 15 15 15 15 14 13 13 14 14 14 14 13 13 12 12 12 12 12 13 13 11 9 7 5 3 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 3 4 5 5 6 7 8 9 10 11 13 14 15 16 17 17 19 21 22 24 27 29 31 32 33 34 33 31 30 29 28 26 23 21 18 16 14 13 12 11 11 11 11 11 11 11 12 12 12 13 14 14 15 16 17 17 18 18 18 18 16 15 13 12 10 9 7 6 7 7 8 8 9 9 9 10 11 13 13 14 15 16 19 21 24 27 30 32 33 34 35 34 34 35 36 37 37 38 37 37 38 37 36 36 37 37 36 35 33 31 30 29 30 30 31 31 31 32 33 34 35 36 38 42 45 47 47 47 46 46 47 47 45 43 42 42 43 45 47 48 48 49 49 49 51 54 57 57 57 57 55 54 52 52 53 53 52 51 49 48 48 48 48 49 48 47 45 44 45 45 45 43 41 39 38 38 40 41 41 44 46 48 51 53 55 56 57 56 54 53 53 53 53 54 54 54 54 55 55 60 67 74 80 84 84 86 87 86 89 96 109 118 121 122 122 120 115 114 121 125 127 129 132 135 141 144 146 144 139 132 128 125 121 115 109 105 105 108 113 121 133 148 158 163 158 147 132 119 111 108 121 138 158 179 193 196 191 185 177 174 171 163 149 129 101 86 82 91 104 120 128 132 130 121 111 104 102 103 112 119 122 119 111 104 103 110 120 124 121 113 98 87 79 79 79 80 76 73 71 71 72 75 76 79 85 88 88 85 83 82 82 87 98 118 124 126 127 139 153 157 149 136 128 129 134 136 134 131 131 127 120 116 115 117 112 105 96 94 91 86 80 76 73 69 65 62 59 57 57 57 58 58 57 56 56 56 58 58 60 61 56 53 51 49 48 47 47 47 48 47 47 48 50 53 56 59 62 64 63 62 60 58 56 54 51 48 46 41 34 26 18 11 7 4 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 4 6 6 5 2 1 1 1 1 0 1 3 5 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 4 3 2 2 2
11 10 9 8 8 9 9 10 10 11 12 12 13 13 13 13 14 14 14 15 15 15 14 14 13 13 13 14 14 14 13 13 13 12 12 11 11 11 11 12 11 10 8 6 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 4 4 5 6 6 7 9 9 10 12 13 14 15 16 17 18 19 21 23 26 28 30 32 32 33 32 32 30 29 27 25 24 22 20 17 15 13 12 12 11 11 11 11 11 11 11 12 13 14 14 15 15 16 16 17 18 18 18 18 17 17 15 12 10 9 8 8 7 7 7 7 7 9 9 9 10 11 12 13 14 15 17 19 22 25 29 32 35 38 40 41 41 42 42 41 39 38 37 36 35 35 35 35 35 35 37 38 38 38 36 35 33 32 33 34 35 35 35 35 34 34 34 34 37 40 44 46 46 48 49 51 52 51 50 48 46 44 43 42 42 45 46 46 46 48 49 51 52 54 53 53 54 53 52 53 53 52 50 48 46 45 45 45 45 46 46 46 43 42 41 40 40 40 40 40 39 40 42 43 44 46 48 50 52 53 55 57 56 56 54 54 55 54 54 53 53 53 55 57 58 64 72 80 86 88 87 88 89 90 92 95 102 109 113 114 115 114 114 118 126 127 127 127 129 133 139 144 148 148 143 135 125 121 120 113 107 100 100 101 103 107 114 128 144 157 161 154 142 126 116 109 117 133 155 175 186 189 189 186 178 174 171 165 148 125 94 79 74 81 96 114 125 130 130 123 114 105 104 106 110 117 121 119 113 106 103 107 112 113 111 106 95 86 79 76 74 73 72 70 69 69 70 71 74 76 77 80 83 83 81 80 80 85 93 105 109 109 107 118 135 160 162 153 138 130 128 134 136 137 135 129 119 110 105 102 105 105 102 99 96 93 85 77 70 68 67 66 63 61 59 59 58 57 56 55 54 54 54 54 53 51 50 49 48 46 45 43 41 40 43 45 47 48 50 52 55 58 62 64 65 65 63 61 58 58 58 57 52 46 40 32 25 17 12 8 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 2 4 4 3 1 0 0 0 0 0 0 1 2 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 2 2 2
11 10 9 8 8 8 9 10 11 11 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 14 14 13 12 13 14 13 13 12 12 10 10 10 10 9 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 5 5 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 24 26 29 31 32 32 32 31 30 28 27 25 24 22 21 20 17 15 13 12 11 11 11 11 11 11 11 11 12 12 14 15 16 16 17 17 17 18 18 19 18 17 15 14 12 10 9 8 8 8 8 8 8 8 9 9 10 11 12 13 14 14 16 18 20 23 26 30 33 36 39 41 41 41 40 39 39 36 33 31 29 26 25 25 25 26 26 27 30 32 34 35 36 36 36 36 36 37 38 39 39 39 38 37 35 35 38 40 42 44 46 50 53 56 58 57 56 54 51 48 46 44 44 45 46 46 45 45 47 50 51 51 50 51 52 53 54 54 51 49 47 45 42 44 45 45 44 43 43 43 42 41 40 39 38 38 39 41 43 44 45 46 48 49 51 53 54 56 56 57 55 54 53 54 55 54 54 53 53 55 58 60 63 67 75 80 83 83 84 88 87 87 88 90 93 98 102 104 106 110 114 122 129 132 132 132 137 139 140 142 143 144 137 128 117 114 114 115 110 104 99 96 95 95 99 106 129 143 149 146 139 127 118 113 115 124 139 160 175 185 191 192 189 179 172 169 144 119 93 74 62 61 77 97 117 126 130 124 117 109 106 105 105 110 114 119 116 112 108 111 115 119 114 106 95 86 79 76 75 75 74 73 71 70 69 69 68 69 69 72 75 80 80 80 80 80 83 91 102 111 115 124 135 151 160 161 142 130 123 127 129 130 134 131 123 109 100 99 103 107 111 107 103 101 95 88 80 76 74 72 69 66 64 61 59 57 55 54 54 54 53 52 51 51 51 51 51 48 45 45 44 44 43 46 48 49 50 51 53 55 58 60 62 64 65 66 65 66 67 69 63 54 45 37 30 22 15 10 8 6 6 7 6 3 3 3 2 1 1 0 0 0 0 0 1 2 2 2 2 1 0 0 0 1 1 1 1 1 1 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 3 2 2
11 10 9 9 8 8 9 10 10 11 12 13 13 13 14 13 13 13 14 14 14 14 14 14 14 13 13 13 13 14 15 14 13 13 14 13 12 10 9 9 8 8 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 5 5 6 6 7 8 9 10 11 12 13 14 14 15 16 17 19 21 24 26 28 29 31 31 31 30 29 28 26 25 24 23 21 20 17 15 13 12 11 11 11 11 11 12 11 12 12 12 14 15 16 17 17 17 18 19 19 19 18 17 15 12 10 9 8 8 8 8 8 9 9 9 9 8 9 10 12 13 15 17 18 20 22 25 28 31 34 37 39 38 38 35 34 32 30 29 26 24 21 20 19 18 17 18 18 18 19 21 24 26 29 32 35 37 40 41 40 41 42 43 43 41 39 38 39 40 41 42 43 46 49 53 57 60 61 59 57 54 51 49 48 48 49 49 49 49 49 48 48 48 49 50 51 52 52 52 50 47 44 42 40 40 40 41 42 41 41 40 40 40 39 38 38 38 38 39 41 43 44 46 47 49 51 52 53 55 56 57 56 55 54 54 53 53 52 53 54 56 60 63 65 65 67 72 72 72 72 77 82 80 79 78 79 81 84 90 97 104 115 124 128 132 136 138 139 142 142 140 136 133 130 125 116 105 99 100 103 108 108 103 97 91 87 85 87 95 108 120 125 123 118 108 103 103 108 121 145 165 182 192 203 205 187 173 160 140 118 96 76 62 52 68 86 106 118 124 121 116 111 105 97 91 96 103 110 111 111 110 111 116 123 117 109 99 90 82 77 76 76 78 77 76 73 72 71 70 68 66 69 74 79 78 77 77 78 78 79 91 104 119 131 141 150 154 154 140 129 120 115 109 105 112 117 120 111 103 95 99 104 111 113 114 113 109 102 94 88 84 77 73 70 69 67 64 61 59 57 57 56 55 55 55 55 54 53 52 50 48 49 48 47 47 47 47 48 49 48 50 51 53 54 56 59 61 63 64 67 70 72 68 62 51 42 35 28 20 13 10 7 5 3 3 4 4 4 3 2 1 0 0 0 0 0 1 2 2 3 3 3 3 2 1 2 1 1 1 1 2 3 5 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 2 2 2
11 10 9 9 8 7 8 8 9 11 12 13 13 13 13 13 13 13 13 14 13 13 12 12 12 12 11 11 12 12 13 13 12 12 11 11 10 9 8 7 7 7 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 3 4 4 4 5 5 6 7 7 8 10 11 11 11 12 13 14 15 16 17 19 21 23 26 28 29 29 29 29 28 28 28 27 26 25 24 22 20 17 15 13 13 12 11 11 12 12 12 12 11 11 12 13 14 16 17 18 18 18 19 19 18 18 17 15 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 10 13 15 20 24 25 26 27 29 32 33 34 36 36 35 32 29 27 26 25 25 23 22 21 20 18 17 16 16 16 16 16 17 19 21 23 26 30 34 38 40 41 43 45 47 47 46 44 43 42 42 43 43 44 46 49 53 57 60 61 59 57 55 53 51 50 49 49 50 50 50 49 48 47 47 49 50 51 51 49 48 46 44 42 41 40 40 40 40 40 39 39 39 38 38 37 37 37 38 38 39 40 42 44 45 48 50 53 54 55 55 55 55 57 58 58 55 52 51 51 52 56 61 65 69 71 72 70 68 66 65 65 68 71 72 71 72 73 75 79 85 94 105 115 123 127 132 135 137 138 139 140 136 132 131 124 115 103 90 76 78 87 101 105 104 97 89 82 72 70 74 84 94 103 101 97 90 89 91 96 105 119 148 166 176 183 185 177 166 152 138 122 104 81 66 55 60 74 92 107 116 119 117 115 112 97 85 82 85 89 95 101 106 109 112 115 115 111 103 95 88 81 79 79 80 81 80 77 74 72 70 65 60 64 69 74 75 76 77 78 79 77 89 101 112 121 129 136 144 151 145 135 123 110 101 95 98 105 115 116 112 102 97 96 103 110 115 118 113 106 100 97 94 88 84 80 76 72 70 67 65 63 61 59 57 58 59 59 58 57 55 51 47 46 47 49 48 48 48 48 48 48 49 51 52 53 54 56 57 59 61 64 67 66 65 64 56 48 40 32 24 19 14 9 5 3 3 3 3 3 2 1 0 0 0 0 0 0 1 1 2 3 4 5 3 2 1 1 1 1 1 2 2 3 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0
11 10 9 8 8 8 9 9 9 10 11 12 13 13 13 13 13 13 13 14 12 10 9 9 10 11 11 11 11 12 12 12 11 11 11 10 9 8 7 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 3 4 5 5 5 6 7 7 8 8 9 9 10 10 11 12 13 14 15 17 19 21 23 25 26 28 28 28 28 28 27 28 27 27 26 24 22 20 17 15 13 12 12 12 11 12 13 12 12 12 12 12 13 14 16 17 17 18 18 18 19 18 17 15 13 11 10 9 8 8 8 8 9 9 8 9 9 9 9 10 11 12 16 20 24 27 29 30 30 32 32 31 30 30 31 30 29 28 26 26 27 28 27 26 26 24 22 20 19 19 18 18 18 19 19 20 21 23 26 29 32 36 39 43 47 49 50 50 49 48 46 45 46 45 46 46 47 50 53 57 58 58 58 56 54 52 51 50 50 49 49 49 49 49 48 49 50 51 51 50 47 45 44 43 42 41 41 41 41 42 41 41 40 40 39 37 36 35 34 37 39 40 42 44 44 46 49 53 56 57 56 55 54 56 59 61 61 56 52 50 50 53 59 66 71 73 73 72 70 67 65 64 64 65 67 69 71 71 72 73 77 81 89 97 107 114 122 129 133 137 136 138 142 142 140 140 130 116 98 80 64 61 67 78 89 92 87 78 67 55 52 52 58 63 69 69 69 69 73 80 89 95 103 116 127 137 145 152 158 162 158 148 134 116 92 78 68 64 72 84 97 107 114 115 120 125 109 91 72 67 69 79 91 101 106 108 110 110 109 105 99 92 84 78 77 82 83 83 81 79 75 69 62 57 63 68 73 74 74 73 76 79 83 90 96 103 110 118 127 143 156 151 140 127 112 101 92 90 91 95 102 105 102 95 91 95 99 103 109 110 108 103 99 94 93 93 93 87 82 77 73 70 67 65 63 61 61 62 61 59 58 56 54 51 54 55 54 51 49 50 50 50 50 51 52 54 56 57 59 60 61 62 62 62 63 64 64 59 52 42 34 27 23 18 12 6 3 3 2 1 1 2 2 2 1 0 0 0 0 0 1 1 2 4 5 3 1 1 1 1 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0
11 10 9 8 8 8 9 10 10 10 11 11 12 12 13 14 14 13 13 12 11 10 9 9 9 10 11 11 11 11 11 11 11 12 12 10 9 8 7 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 3 3 3 5 5 6 6 7 7 7 7 8 9 9 9 10 11 12 13 15 17 19 20 22 25 26 27 28 28 28 29 29 29 29 29 27 25 23 20 17 15 13 12 12 12 12 12 13 12 12 13 13 13 14 15 16 17 17 17 18 18 18 17 16 14 12 11 10 9 8 8 8 8 7 8 9 9 9 9 9 10 11 13 18 22 26 29 30 32 34 34 33 32 31 30 30 30 29 29 28 28 29 31 31 31 31 30 28 26 24 23 22 21 21 21 21 21 21 22 23 24 26 28 31 34 38 42 46 49 52 54 53 52 51 51 49 48 47 47 46 49 52 55 57 58 58 56 55 53 53 50 49 49 50 52 52 52 52 52 53 52 50 48 46 44 42 41 40 41 41 41 41 41 41 40 40 38 36 35 34 35 37 39 41 43 44 45 49 54 57 60 62 60 58 57 57 59 61 61 58 53 51 51 55 59 66 70 73 72 70 68 67 65 64 63 63 63 66 68 73 75 73 76 81 89 98 107 117 128 138 135 135 136 141 146 148 149 150 154 137 107 79 58 45 46 53 63 67 66 58 48 38 32 29 27 32 36 39 42 47 57 69 82 89 91 90 98 108 120 135 149 162 165 161 150 135 117 99 84 74 69 71 79 93 106 115 123 127 115 97 75 61 57 63 80 94 102 106 108 110 108 105 100 94 87 82 81 83 85 85 84 83 79 73 68 65 65 68 73 73 71 68 68 74 85 90 96 102 110 116 120 132 144 151 144 132 118 106 94 89 86 88 92 96 98 97 95 90 88 87 93 98 102 105 104 100 98 97 99 97 94 90 85 79 75 71 68 66 65 64 62 60 58 57 58 61 67 69 64 59 56 53 52 52 53 54 56 58 60 62 64 66 67 67 67 66 64 62 61 57 52 41 31 22 18 15 14 10 6 5 4 3 4 5 6 5 3 0 1 2 3 3 4 5 6 6 6 5 4 4 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 9 9 9 8 9 10 11 11 12 12 11 11 12 13 14 14 13 14 13 12 10 9 9 10 11 12 13 12 11 9 9 9 10 10 9 9 8 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 3 3 4 4 5 5 6 6 6 6 7 7 7 7 8 8 9 11 12 13 15 17 19 20 23 24 26 27 28 28 29 29 30 30 30 30 29 26 23 20 17 14 13 12 12 12 13 13 13 12 12 13 13 15 16 17 17 18 18 18 18 17 15 15 14 12 11 10 9 9 8 7 7 8 8 8 8 8 9 9 9 10 12 14 18 22 26 30 33 34 36 36 36 35 34 33 32 31 30 29 28 28 28 29 30 30 30 30 29 27 26 25 23 22 22 22 22 22 22 22 23 23 24 25 26 27 30 33 36 41 47 53 60 60 58 56 55 53 52 50 48 48 49 51 52 54 55 55 56 57 55 54 51 50 48 47 49 52 53 53 52 52 52 50 48 46 44 41 40 40 40 40 40 39 38 38 37 37 36 34 34 34 35 37 39 41 44 47 50 54 58 61 64 65 63 61 59 58 57 58 57 56 53 53 54 58 63 69 71 72 70 67 65 63 63 63 62 62 62 66 71 78 77 76 81 88 96 107 116 124 133 139 137 136 137 142 146 151 148 146 148 139 119 83 56 36 36 37 40 42 42 38 33 28 22 16 12 14 17 20 23 29 38 53 68 83 88 88 90 97 108 125 142 158 167 169 164 150 133 113 97 83 74 68 66 71 80 92 105 113 112 99 82 62 50 45 66 83 98 102 106 109 106 102 97 94 91 88 87 87 86 85 84 83 80 75 71 68 65 65 66 69 68 65 66 72 82 88 94 100 107 110 108 120 136 151 151 143 127 115 105 97 92 89 87 85 84 85 86 85 83 83 88 92 94 96 99 101 100 100 103 105 106 105 99 93 88 84 79 75 70 64 62 61 60 60 63 70 75 76 68 63 60 57 56 55 56 57 60 61 62 63 65 67 68 69 69 67 64 59 57 54 50 40 29 16 11 10 11 10 8 8 8 8 9 11 13 10 5 3 3 3 5 8 14 15 15 12 9 6 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 8 8 8 8 9 10 11 13 13 13 12 12 12 12 13 13 12 12 13 14 12 10 10 10 11 12 13 12 11 10 9 9 8 8 8 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 3 4 4 5 5 5 5 6 6 6 6 6 7 7 8 9 10 12 14 16 18 19 20 21 23 25 26 26 27 28 28 29 30 30 30 29 26 22 19 16 13 12 12 12 12 13 12 12 12 13 13 14 15 16 17 18 19 18 18 17 17 15 13 12 11 11 9 9 9 9 7 7 6 7 8 8 9 9 9 9 9 11 14 18 22 27 31 34 36 37 37 38 37 36 36 35 34 31 29 27 26 25 25 25 25 24 24 24 23 23 22 22 21 21 21 22 22 22 23 23 23 23 24 25 26 27 28 31 33 38 44 52 59 64 64 62 59 57 57 54 52 50 51 53 52 51 51 53 55 56 56 54 53 52 51 50 50 51 52 52 53 53 51 49 47 45 42 40 38 38 37 37 36 36 35 34 34 33 33 32 32 32 35 38 41 43 46 48 52 57 63 65 65 65 64 62 60 58 57 56 55 55 54 55 57 60 63 66 68 68 68 66 65 63 63 63 63 64 67 73 78 83 87 89 91 99 107 117 121 124 132 138 141 141 143 148 151 153 153 148 141 133 116 88 56 34 28 25 25 27 28 28 27 25 21 15 11 9 10 12 14 19 26 39 52 64 69 72 77 85 96 114 135 154 162 167 169 161 147 127 108 92 79 70 64 61 62 67 80 90 97 92 81 62 49 42 55 73 92 100 104 105 104 101 94 89 85 84 91 99 93 88 85 86 84 80 76 71 67 64 63 64 64 64 67 71 76 81 86 93 98 102 106 118 132 147 155 157 140 129 121 114 106 98 90 84 80 79 79 80 82 84 88 90 91 90 91 93 96 98 100 102 104 105 103 100 96 92 86 83 79 75 71 68 67 68 71 76 76 73 69 65 62 59 57 56 58 60 62 62 61 63 64 65 66 66 66 64 61 56 53 50 45 37 26 13 7 7 7 6 7 7 8 10 12 14 13 10 5 4 4 5 8 14 22 24 24 20 15 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
9 8 7 7 7 8 10 11 13 14 14 14 13 12 12 12 12 13 12 12 12 12 12 11 11 12 12 12 12 11 9 8 7 6 6 6 6 6 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 5 6 7 7 9 10 11 12 13 14 16 18 19 21 22 23 24 24 25 26 27 28 29 30 28 27 25 22 18 15 13 12 12 12 11 11 11 11 11 12 13 14 15 16 18 18 18 18 18 16 15 13 12 11 10 10 9 8 8 8 8 8 7 7 7 8 9 10 11 11 11 11 13 17 21 27 33 36 38 39 39 40 39 38 37 35 33 30 27 25 22 21 20 20 19 18 17 17 17 17 18 18 19 19 19 19 20 20 21 21 22 22 22 23 23 23 26 28 31 35 38 44 51 59 66 70 70 68 66 64 61 58 56 57 57 55 53 51 52 53 56 57 57 56 55 55 54 52 50 50 51 51 52 51 49 47 45 43 39 38 36 35 35 34 33 32 31 31 30 30 31 31 33 36 40 43 46 48 51 57 63 70 70 70 68 66 63 61 59 56 55 54 53 55 57 61 65 68 69 70 69 69 68 66 64 62 64 66 67 72 78 83 88 93 97 100 105 111 119 123 127 132 138 144 146 150 154 156 157 157 157 156 153 142 120 79 48 28 22 20 20 23 25 27 26 25 21 16 12 10 10 12 17 22 32 43 55 62 66 67 73 87 108 133 153 160 163 164 161 152 138 117 99 85 75 68 64 63 64 71 78 83 84 79 68 54 45 49 66 86 101 106 107 109 109 108 96 85 77 82 88 90 88 85 87 88 88 83 77 70 65 60 59 58 59 61 64 68 74 81 87 95 104 113 125 137 143 149 153 150 146 140 131 123 114 103 93 84 79 76 74 74 75 78 80 80 79 79 80 84 88 91 92 93 97 98 96 94 90 86 83 81 79 78 76 72 73 77 81 79 74 70 66 62 58 56 55 56 58 60 61 61 62 62 61 60 60 61 59 57 53 50 45 42 36 27 16 7 3 1 1 1 2 3 5 5 6 6 5 3 3 4 7 11 18 22 22 20 15 10 8 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
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