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 10 11 9 9 10 9 7 7 9 11 11 10 9 8 8 8 7 5 7 7 5 6 7 9 8 7 8 8 7 7 9 9 7 7 8 10 11 8 8 12 10 8 6 7 9 11 10 9 8 8 10 10 10 11 10 9 9 8 7 7 7 8 8 9 10 9 8 9 9 8 8 8 8 9 9 9 8 8 8 7 6 7 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 10 10 9 9 9 8 9 9 10 9 8 9 9 10 10 10 10 9 8 7 8 8 9 10 9 9 9 9 8 9 9 9 9 10 10 12 14 17 16 13 11 11 11 11 11 11 11 10 10 12 nan
nan 10 10 10 9 9 9 6 6 8 10 11 12 12 10 9 8 8 8 7 7 6 7 8 8 8 8 9 8 7 7 8 8 8 9 9 9 8 8 9 11 11 9 7 7 8 10 9 9 9 10 10 9 9 11 11 9 8 8 8 8 8 8 9 9 9 9 8 9 9 8 8 8 8 9 9 9 8 8 8 8 7 8 8 8 8 7 6 6 8 9 9 10 10 9 9 8 8 8 9 9 8 7 7 7 7 8 9 8 8 8 9 10 9 9 10 10 10 9 8 8 8 8 9 10 10 10 10 9 8 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 10 11 10 11 11 10 9 10 11 13 12 10 10 10 9 9 9 nan
nan 10 11 9 8 8 8 6 5 6 9 11 12 13 12 11 9 10 10 8 6 6 7 9 8 8 9 9 8 8 6 7 8 9 10 9 7 6 5 7 10 11 10 9 8 9 9 8 9 11 11 11 9 9 10 11 10 9 8 9 8 9 9 9 8 8 8 8 9 9 8 7 7 6 8 10 9 9 8 7 7 7 8 8 8 8 8 7 6 6 8 9 9 9 8 8 8 7 8 10 10 9 8 8 8 7 7 8 7 7 8 9 10 9 9 10 10 10 9 8 9 8 8 9 11 11 11 10 7 7 9 10 10 9 9 9 9 9 9 9 8 8 10 9 8 9 9 10 10 10 10 10 9 7 7 7 8 10 11 11 10 10 9 9 8 nan
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nan 9 12 12 12 11 8 6 5 6 8 9 9 10 10 11 12 12 11 10 8 7 5 6 7 7 8 9 8 8 6 6 9 11 10 9 8 7 7 6 5 8 11 11 9 9 9 9 11 11 11 10 10 10 11 11 10 9 9 9 10 11 11 9 8 7 8 8 8 8 7 8 8 7 7 9 9 9 8 7 6 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 7 9 10 9 8 8 9 10 10 10 10 10 9 10 10 9 8 8 9 10 10 9 8 10 11 11 11 11 9 8 9 9 9 9 7 7 8 9 9 9 9 10 10 9 8 8 9 10 10 10 10 11 11 10 9 9 10 10 10 11 11 10 9 9 8 8 7 nan
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nan 14 12 11 11 10 10 10 9 8 8 8 7 6 7 9 11 11 11 9 9 8 7 7 7 7 7 8 8 9 9 9 8 9 9 9 10 11 11 12 11 11 11 12 13 14 13 12 12 10 10 10 10 11 11 12 11 10 9 9 10 11 11 10 10 10 11 12 12 12 13 14 14 14 13 12 11 12 12 13 13 12 12 12 12 13 14 14 14 15 16 17 17 16 12 9 9 11 11 11 9 8 8 9 8 8 9 9 9 9 9 9 11 12 12 12 12 11 11 12 13 13 15 15 15 14 12 11 9 9 11 11 10 10 9 10 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 11 10 10 11 12 11 10 9 9 10 11 12 12 9 nan
nan 12 11 11 11 10 11 10 9 9 9 8 8 7 7 9 9 9 8 8 8 8 8 7 7 8 8 9 10 11 11 10 10 9 9 9 10 11 12 12 12 11 11 13 14 14 13 13 13 12 11 10 10 11 11 10 10 10 9 9 10 11 11 11 11 11 12 13 15 16 17 17 16 14 12 11 11 11 12 12 11 11 11 11 12 12 13 13 13 14 15 16 17 15 12 10 10 10 10 9 9 8 9 9 8 8 9 10 10 10 10 10 10 11 11 11 11 10 11 12 13 15 16 16 16 15 13 11 9 9 11 11 11 11 11 11 12 12 11 12 11 10 9 10 11 11 12 12 11 11 11 11 12 11 11 12 11 11 8 7 9 11 12 12 11 nan
nan 14 14 13 12 11 11 10 10 10 10 9 8 8 8 8 8 7 6 7 9 10 10 8 7 8 9 9 10 11 11 11 11 9 9 8 8 9 10 10 11 11 11 12 13 13 12 12 12 11 11 10 9 10 10 10 10 10 10 10 10 11 12 12 13 13 13 14 15 16 17 16 15 13 12 11 10 10 11 11 11 11 11 10 11 11 12 12 11 11 12 14 14 14 12 10 10 9 9 8 9 9 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 13 15 16 17 17 15 14 13 13 12 11 11 12 13 13 12 11 11 12 13 12 10 10 10 11 12 12 12 12 11 11 10 11 11 11 12 11 11 11 10 9 10 11 11 12 13 nan
nan 17 16 14 13 12 12 11 11 11 11 10 9 8 7 7 8 8 8 8 10 11 11 10 9 10 10 11 10 10 11 11 10 9 8 7 7 7 8 9 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 12 12 13 13 14 13 13 14 13 12 11 11 12 10 10 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 12 13 13 12 10 8 8 9 9 9 9 9 10 10 11 10 9 10 10 10 11 11 11 12 13 13 14 14 14 15 15 18 18 15 13 12 12 12 12 12 12 13 13 13 12 12 13 12 12 12 11 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 12 12 12 10 9 10 13 nan
nan 15 14 12 11 12 13 13 13 13 12 10 8 8 8 8 10 11 10 9 10 11 11 11 11 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 11 12 12 11 11 11 10 10 10 8 8 8 9 9 9 10 10 10 9 9 11 12 12 12 13 14 13 12 12 11 9 9 8 9 9 9 10 10 10 10 10 11 11 12 12 11 10 10 9 9 10 11 11 12 12 10 8 9 10 10 9 9 10 11 11 12 11 10 10 10 11 11 11 11 13 16 18 19 19 19 17 15 16 18 15 12 11 12 11 12 12 12 12 12 12 12 12 12 12 11 10 10 9 8 7 9 10 10 10 10 11 11 11 11 10 11 11 11 12 12 12 11 10 11 11 nan
nan 11 11 10 10 10 11 12 12 12 11 9 9 8 8 10 13 14 11 11 12 11 10 11 12 11 10 10 11 10 10 10 9 10 10 9 10 10 10 10 11 12 11 11 11 10 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 12 12 12 12 11 10 8 8 8 9 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 9 10 10 11 12 11 10 11 11 9 9 9 10 12 13 14 12 11 10 9 9 10 11 12 15 17 19 19 20 20 17 13 13 16 17 15 13 12 12 12 12 12 11 11 12 12 11 11 11 11 10 9 8 8 8 10 10 10 10 10 11 12 12 11 11 11 11 11 10 11 11 11 11 11 11 nan
nan 9 8 8 9 9 10 12 12 10 9 9 9 9 9 10 13 14 14 14 13 12 10 10 10 11 12 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 13 13 12 12 12 12 13 14 13 12 11 12 11 11 11 11 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 9 9 10 11 11 10 11 11 10 9 9 9 11 12 13 13 13 12 11 10 9 10 12 14 15 16 15 13 13 12 11 9 11 14 16 18 15 13 13 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 11 11 11 12 11 11 10 11 11 11 11 11 11 10 10 11 nan
nan 7 7 7 8 8 9 10 11 11 11 10 10 10 9 10 11 12 14 15 15 13 11 10 9 10 10 10 11 10 10 10 10 9 9 10 11 11 11 11 11 11 11 12 12 12 12 13 12 11 12 12 12 13 14 13 13 13 13 12 12 13 12 11 11 12 11 10 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 12 13 13 13 13 12 12 10 10 11 12 12 11 11 11 10 9 8 9 10 11 11 12 13 12 11 11 11 13 14 15 14 13 12 11 9 8 6 7 8 10 12 14 15 14 12 13 14 13 13 12 11 10 10 11 11 11 10 10 11 11 12 12 12 11 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 nan
nan 6 6 7 7 8 8 9 9 10 10 11 12 11 11 11 11 12 14 14 15 13 11 11 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 13 14 13 13 13 13 13 13 12 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 12 11 12 11 12 13 14 14 14 12 12 11 11 10 11 12 13 12 12 11 10 9 8 9 10 10 10 11 12 12 12 13 15 17 18 17 15 13 13 11 9 8 7 7 7 6 7 8 9 9 10 10 12 12 12 12 11 11 11 10 10 9 9 10 11 12 12 12 12 11 11 10 10 11 11 11 11 11 10 11 12 12 12 11 10 11 11 nan
nan 7 7 8 7 7 8 9 9 9 10 11 12 13 12 12 12 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 12 12 11 12 12 12 12 13 13 13 12 12 13 12 12 11 11 11 10 10 10 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 12 12 13 13 14 14 13 12 10 10 11 11 11 11 12 11 12 11 10 9 9 9 9 9 10 11 12 13 14 17 19 20 20 18 17 14 11 8 8 10 10 9 8 5 2 1 2 5 8 8 9 11 12 12 12 12 11 11 11 10 10 11 11 11 11 12 12 11 11 11 10 10 11 12 11 10 10 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
10 13 14 14 14 16 16 13 11 10 9 7 5 5 5 3 1 0 0 1 4 15 32 47 54 50 44 44 46 45 40 28 10 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 1 1 0 0 0 0 1 3 4 5 4 3 2 1 0 0 0 0 0 0 0 1 3 6 12 19 30 45 60 69 72 72 74 77 79 81 80 75 70 67 68 72 72 70 66 64 66 69 72 72 70 64 55 46 40 41 45 49 49 45 48 49 50 54 58 63 66 68 70 74 77 76 72 69 66 68 75 83 87 83 80 77 74
10 12 13 13 13 14 14 12 10 8 6 4 2 1 1 1 0 0 0 0 1 6 19 35 46 44 38 35 34 34 32 24 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 4 2 0 1 3 7 12 15 15 11 6 2 0 0 0 0 0 0 1 3 4 4 5 10 21 37 54 66 74 79 83 87 89 89 84 76 71 72 78 87 84 78 72 66 62 59 62 64 64 59 52 43 38 38 41 45 45 40 42 46 49 52 54 59 64 67 69 73 78 79 77 74 72 74 77 80 81 81 80 78 75
8 12 13 13 12 11 10 10 8 5 3 1 0 0 0 0 0 0 0 0 0 1 8 21 32 34 30 27 24 24 23 19 11 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 0 0 0 0 0 0 0 0 0 0 0 0 5 10 12 10 7 4 4 7 12 17 20 20 15 8 4 1 0 0 0 0 0 2 3 3 1 1 4 15 32 52 64 72 77 82 86 87 85 79 71 65 66 74 83 85 84 81 75 67 56 54 55 55 50 44 39 36 34 34 36 35 31 30 34 39 43 47 52 56 58 61 65 70 72 70 69 69 70 73 75 76 76 75 74 72
6 13 15 14 12 10 9 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 3 9 16 20 19 18 16 16 17 16 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 9 13 15 15 12 10 10 13 16 19 19 16 9 5 3 2 0 0 0 0 0 1 2 1 0 0 4 14 33 55 68 74 75 76 77 77 74 67 60 56 58 67 77 87 91 89 85 80 62 54 52 49 42 38 36 34 31 29 30 31 27 25 26 27 31 37 43 47 50 53 56 59 61 60 58 57 57 63 69 72 74 74 75 73
5 17 19 17 13 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 10 11 11 12 14 15 13 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 15 17 17 16 15 14 14 17 18 17 10 4 2 2 1 0 0 0 0 0 0 0 0 0 2 6 16 35 61 77 81 79 76 73 70 65 59 54 52 58 71 86 96 98 91 84 76 64 57 56 54 50 43 40 36 30 26 29 33 29 24 20 18 21 27 33 37 42 48 52 55 55 54 53 52 53 60 69 74 77 78 80 79
5 19 25 24 18 12 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 7 8 10 12 13 10 6 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 1 4 8 12 16 17 17 16 14 13 13 14 13 9 4 2 1 0 0 0 0 0 0 1 2 2 5 8 14 24 44 68 84 89 85 79 74 70 65 59 56 59 71 84 93 98 97 87 78 73 70 69 68 66 64 60 53 45 37 28 28 29 28 24 19 16 19 25 30 35 39 45 50 53 54 53 56 62 72 80 84 83 82 84 86 86
4 17 28 30 25 17 10 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 7 8 8 8 6 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 0 0 0 0 0 0 0 0 0 0 1 4 8 12 16 18 17 15 13 11 10 10 11 11 9 6 2 0 0 0 0 0 0 2 6 12 19 25 31 40 56 76 92 97 92 82 78 75 72 69 69 77 91 99 99 95 91 83 75 74 76 76 76 70 72 73 69 62 53 43 34 29 26 24 22 22 27 33 39 42 42 45 48 51 53 56 62 71 82 88 88 82 80 81 84 86
2 11 23 30 29 23 14 5 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 5 5 4 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 1 4 10 14 18 20 19 16 13 10 9 8 10 11 12 10 3 0 0 0 0 0 0 2 8 19 32 43 50 58 72 89 104 109 102 91 87 86 84 83 87 102 111 110 101 90 83 77 73 74 77 76 72 66 68 75 82 81 73 65 56 48 41 38 37 39 44 49 52 52 51 50 48 49 52 56 61 66 68 67 64 64 65 67 69 72
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11 12 12 11 10 8 5 5 7 10 14 16 17 16 15 12 10 9 9 10 11 10 7 4 3 2 1 1 1 1 2 4 8 14 23 34 47 61 76 90 102 112 119 120 115 106 94 79 60 41 23 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 6 9 12 15 18 19 19 19 18 17 17 16 16 15 14 13 13 14 14 15 15 14 14 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 10 9 7 6 5 4 6 8 11 14 17 20 20 19 17 15 14 14 13 12 11 8 6 5 4 4 4 4 5 7 10 17 25 32 38 44 52 61 73 85 98 108 114 119 119 113 100 80 59 37 15 4 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 6 7 9 12 14 15 15 16 19 23 27 29 30 28 25 21 17 15 14 14 14 14 12 11 12 14 15 16 15 15 15 14 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 5 3 3 3 3 4 6 9 12 16 20 24 25 24 21 20 19 19 17 16 14 12 11 11 10 9 7 7 7 10 16 24 30 36 39 42 47 53 64 73 84 94 102 109 113 112 102 85 64 40 18 7 2 0 0 0 0 0 0 1 4 8 12 16 18 20 22 25 28 30 33 35 35 34 34 37 40 42 41 38 32 26 20 14 11 9 9 9 9 9 9 11 13 15 15 15 16 16 16 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 6 11 16 22 25 26 26 23 20 19 19 19 18 17 17 18 19 20 21 19 14 11 10 11 17 22 27 32 36 39 42 46 54 65 75 84 90 95 99 102 94 78 58 37 21 10 3 0 0 0 0 0 0 3 9 16 24 30 33 35 38 41 44 48 53 53 52 49 47 47 47 46 43 37 30 22 15 10 7 5 4 4 4 6 7 10 12 14 14 15 16 16 14 10 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 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 4 9 16 22 27 27 24 21 17 15 16 17 17 18 18 20 21 23 25 27 29 25 21 18 14 13 14 17 22 29 35 39 41 46 54 64 76 84 86 86 84 77 65 51 37 24 14 5 0 0 0 0 0 2 6 13 21 30 36 39 41 43 46 49 52 56 57 56 54 51 48 44 41 37 32 25 18 12 7 4 2 1 1 2 3 6 9 12 16 16 15 14 12 9 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 0 0 0 0 0 0 0
1 2 2 2 3 6 10 17 23 26 27 24 19 15 12 12 14 16 18 18 18 18 18 19 22 27 34 33 30 26 20 14 9 8 13 22 28 33 35 38 44 54 66 81 86 83 75 66 57 48 39 28 18 8 1 0 0 0 0 3 7 13 20 28 33 38 40 42 45 47 49 50 51 51 51 48 43 38 34 30 26 21 15 10 6 3 2 1 0 1 2 5 9 14 20 18 16 12 9 7 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 0 0 0 0 0 0 0 0
6 6 7 9 12 16 20 24 25 24 21 18 15 14 14 16 17 19 20 18 15 12 12 13 19 26 32 32 31 29 27 18 12 9 9 15 22 27 30 30 33 42 57 73 81 81 73 62 53 44 36 28 20 11 5 3 2 1 1 4 7 11 16 23 30 36 40 41 42 42 42 43 43 44 45 42 38 33 30 27 23 18 11 6 4 3 1 1 0 0 2 4 9 16 22 20 16 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 14 14 16 20 23 25 24 21 17 14 14 15 17 20 22 23 22 20 15 12 9 8 10 16 24 31 33 33 33 33 27 22 18 15 16 19 22 25 23 22 26 41 58 70 76 72 62 50 40 30 24 18 13 8 6 4 3 2 3 5 8 12 20 28 35 38 38 37 36 36 37 39 40 40 37 33 30 27 24 19 12 6 3 2 1 1 0 0 0 1 4 9 17 22 21 17 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
14 14 16 18 20 22 22 19 16 13 12 14 17 20 24 25 26 25 22 17 12 8 5 7 11 17 24 27 31 36 38 35 29 22 16 13 13 14 15 16 15 16 25 42 59 72 75 66 54 40 27 19 14 10 7 6 4 3 2 3 4 7 13 20 26 31 34 34 34 33 34 36 37 38 36 32 29 27 25 21 16 9 5 2 1 0 0 0 0 0 0 3 8 17 22 22 19 16 13 10 6 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
8 8 9 11 14 16 16 16 15 14 14 16 19 23 27 28 27 25 21 16 10 5 2 2 3 5 6 9 18 30 38 37 31 22 14 9 8 8 11 13 13 13 16 27 44 63 75 72 62 47 32 21 13 8 6 5 4 4 4 6 8 12 18 22 26 30 32 35 36 38 38 39 38 36 33 29 26 26 24 19 14 8 4 2 0 0 0 0 0 0 0 2 6 16 22 23 20 18 14 11 7 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
2 2 3 4 6 8 10 12 13 15 16 19 22 25 26 25 23 20 16 12 7 3 1 0 0 0 0 2 10 23 34 35 30 23 14 9 7 8 11 13 14 13 14 22 35 52 73 80 76 65 50 38 28 20 15 12 11 12 14 16 19 24 28 30 32 34 35 37 39 42 44 43 40 35 30 28 26 25 23 19 14 9 5 2 0 0 0 0 0 0 0 2 5 15 20 21 18 16 13 10 7 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 1 2 3 4 8 12 16 20 23 24 22 19 16 13 11 9 8 7 6 3 2 1 2 2 7 15 26 35 36 32 24 15 10 7 6 6 6 7 10 14 23 34 48 71 86 93 89 75 64 53 45 40 36 34 34 34 36 38 42 44 45 45 42 40 39 41 45 47 45 40 34 30 27 25 25 23 21 17 12 8 5 1 0 0 0 0 0 0 1 4 11 15 17 15 12 10 7 5 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
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4 6 8 10 12 13 15 19 23 28 33 34 31 25 18 12 8 6 6 13 19 22 22 23 24 27 29 29 30 35 40 34 24 15 10 9 9 10 10 8 5 6 11 19 30 41 54 67 81 93 95 93 88 82 78 76 77 81 86 89 88 80 74 68 62 53 46 42 41 42 41 38 34 30 28 26 25 24 22 20 19 17 15 12 9 5 2 0 0 0 0 0 1 3 6 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 8 11 14 17 21 25 27 30 33 38 41 42 40 35 30 23 18 18 23 28 30 32 32 31 29 29 27 25 26 28 25 19 11 7 6 9 14 17 16 13 10 12 17 24 34 42 50 57 66 75 82 86 87 85 84 84 85 86 86 84 77 70 62 55 47 41 37 35 33 32 31 30 28 27 25 25 24 22 20 20 19 18 17 14 10 5 2 1 0 0 0 0 0 1 3 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 0 0
0 1 2 7 12 18 24 29 33 38 43 48 52 55 56 53 49 44 39 38 38 37 37 36 34 32 26 22 18 16 17 16 13 8 5 5 8 16 20 21 20 19 18 20 22 28 33 37 40 43 48 54 60 66 71 74 73 71 70 69 65 59 54 49 44 39 35 31 26 23 22 21 22 22 22 22 23 23 23 23 22 22 21 21 18 14 9 5 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 0 0 0 0 0 0
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4 3 3 8 14 21 28 35 42 49 56 60 63 68 75 78 77 73 66 58 50 41 36 33 30 26 19 13 8 6 7 11 15 17 18 18 18 19 19 19 20 22 24 26 26 26 26 26 26 29 31 33 33 30 27 24 23 25 29 34 38 38 36 31 27 25 22 20 16 13 12 12 12 12 13 15 18 21 24 28 29 29 27 24 21 17 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 15 15 18 24 30 37 42 46 51 55 58 62 68 73 74 72 66 60 52 44 36 32 29 27 24 20 17 15 14 16 20 23 26 27 28 27 26 24 22 22 23 24 25 25 26 26 27 28 30 31 31 28 25 21 18 16 16 17 20 24 26 25 24 22 20 19 18 16 14 12 12 12 12 13 14 17 20 23 27 29 30 29 26 22 18 14 9 6 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
32 32 34 37 42 46 51 51 51 51 53 55 57 60 59 55 49 43 39 37 36 33 31 28 26 24 23 23 24 25 26 27 29 31 32 33 33 33 30 28 27 27 26 25 25 25 26 28 30 31 31 29 24 20 16 14 12 11 11 12 14 16 16 17 17 18 18 20 18 15 14 13 12 12 13 14 16 18 21 24 27 29 29 27 23 19 15 11 8 5 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 0