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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 1 4 8 13 17 20 24 32 40 44 44 40 28 18 10 4 1 1 0 0 0 0 0 2 4 7 9 10 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 8 11 13 14 15 16 17 16 14 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 3 3 4 6 11 16 19 21 21 23 23 20 16 11 7 5 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 1 1 1 2 2 3 4 5 7 8 9 12 17 23 31 38 45 50 53 55 52 50 48 47 47 46 49 51 54 53 50 46 39 32 24 16 9 5 4 3 4 3 3 3 4 5 9 12 14 15 15 14 10 7
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 27 33 45 56 65 68 62 50 35 22 13 9 7 5 3 2 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 7 8 8 9 9 10 10 8 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 1 2 2 3 4 4 3 3 3 3 8 13 17 20 23 25 26 24 21 14 7 4 2 1 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 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 7 8 9 9 10 13 17 26 37 49 62 71 74 76 78 79 79 78 78 79 80 78 74 67 58 48 37 26 17 9 4 2 2 2 2 2 2 3 4 5 6 7 8 8 6 4
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 47 37 30 28 24 20 16 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 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 1 1 2 3 3 3 3 3 3 2 2 4 8 13 18 21 24 25 24 22 14 7 3 2 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 0 0 0 0 0 1 1 1 1 1 2 3 4 4 6 7 8 9 10 10 10 10 11 15 21 29 41 54 66 76 83 88 88 86 84 79 75 70 65 58 51 42 33 24 16 9 3 1 1 1 0 1 1 1 1 1 2 3 3 3 2 2
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 17 10 7 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 1 1 2 2 3 3 3 2 1 1 3 5 9 13 15 17 18 17 15 9 5 3 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 0 0 0 1 1 1 1 1 2 2 3 4 5 6 7 8 9 10 11 11 11 11 10 10 12 14 21 31 41 51 59 64 64 62 57 50 43 37 32 28 23 19 15 12 8 5 2 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 2 3 6 9 9 9 10 9 7 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 1 1 1 1 2 2 3 3 4 4 5 6 7 8 8 9 10 11 12 12 12 12 11 10 9 9 14 19 25 29 31 32 29 25 18 14 11 8 6 3 2 2 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 2 2 3 3 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 1 2 3 3 4 5 6 6 7 8 8 9 10 12 13 15 16 15 14 13 11 9 8 6 5 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 2 2 2 2 2 2 1 0 0 0
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