Vorticity
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nan 7 7 7 7 6 7 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 9 9 10 10 10 10 11 11 10 10 9 9 8 9 9 8 8 8 8 8 8 8 9 10 11 13 13 13 14 14 15 15 16 16 16 16 15 15 14 13 12 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 7 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 11 13 14 15 17 18 18 18 17 16 15 14 14 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
nan 7 6 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 9 8 9 9 11 13 15 17 18 18 18 17 15 13 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 nan
nan 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 10 10 11 10 9 9 8 8 8 7 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 10 9 8 8 9 9 10 11 12 13 14 14 15 15 14 13 12 11 11 11 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 11 11 11 9 8 7 7 7 7 8 8 9 9 10 10 9 9 9 10 10 11 10 10 9 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 8 9 9 9 9 10 10 10 10 11 13 14 15 14 12 10 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 nan
nan 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 10 11 11 10 9 8 7 7 7 8 9 9 10 10 10 9 9 9 9 10 11 11 10 9 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 8 8 9 9 9 9 9 10 10 10 10 11 13 15 15 14 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 9 10 10 11 10 10 9 8 7 7 8 9 10 10 11 10 9 9 9 9 9 10 11 11 10 8 7 6 6 5 6 6 7 7 7 7 7 8 8 8 8 8 9 8 8 9 9 8 7 8 8 9 9 9 9 10 10 10 10 11 12 13 14 14 14 13 12 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 9 9 9 9 8 8 8 8 8 9 10 11 10 9 9 8 8 8 8 9 10 11 11 10 9 8 8 8 9 10 11 11 10 7 6 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 10 10 10 10 10 11 12 13 14 14 13 12 11 11 12 12 12 12 12 11 11 12 11 11 11 10 10 10 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 9 10 10 11 11 10 9 7 7 8 9 10 11 11 10 7 5 4 4 5 6 6 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 13 13 14 15 15 15 15 14 14 14 14 14 13 12 11 10 10 9 9 8 8 8 8 8 nan
nan 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 11 11 11 10 8 7 7 8 10 11 11 11 10 7 5 4 4 4 5 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 13 15 16 18 18 18 17 15 13 13 14 14 14 14 13 12 11 10 9 9 8 7 7 7 nan
nan 9 9 8 8 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 8 6 6 8 10 12 13 11 9 6 4 3 4 4 5 6 8 9 9 10 9 9 9 9 9 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 8 8 8 7 6 7 6 7 7 8 8 8 9 9 10 12 14 15 16 16 15 13 10 9 10 11 12 13 14 14 13 13 12 11 10 10 9 8 8 nan
nan 9 9 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 10 9 8 7 7 8 11 13 14 12 8 5 2 1 2 4 6 7 8 9 10 10 9 9 8 9 9 9 8 8 8 8 8 9 9 9 9 9 10 9 9 9 8 8 7 7 5 5 6 6 6 7 8 8 8 8 9 9 10 11 11 11 10 7 4 2 4 6 9 11 12 13 13 13 13 13 13 13 12 12 11 10 nan
nan 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 10 10 9 9 8 7 7 8 10 13 14 13 8 3 1 -0 1 3 5 7 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 10 9 9 8 7 7 7 6 5 5 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 5 1 -3 -1 2 6 8 10 11 11 11 12 12 13 13 14 14 14 13 13 nan
nan 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 13 12 8 3 0 -0 0 3 5 8 9 9 9 9 8 8 8 7 7 8 9 9 10 9 8 8 8 9 9 9 9 9 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 6 2 -2 -2 2 6 8 10 11 11 10 10 10 11 11 12 13 14 14 15 14 nan
nan 8 9 9 9 8 8 7 8 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 9 8 8 8 7 8 9 9 9 9 9 8 9 9 9 9 9 8 9 9 10 10 10 11 10 8 4 1 0 2 3 6 9 10 10 9 8 8 8 7 7 7 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 6 4 1 -1 3 8 12 13 13 12 11 10 10 10 10 10 11 12 13 14 15 15 nan
nan 8 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 9 8 8 7 8 8 9 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 7 5 3 2 3 4 7 9 11 10 9 8 8 7 7 7 8 8 9 9 10 10 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 5 4 6 12 17 18 17 15 14 12 10 9 9 9 10 11 12 13 14 14 15 nan
nan 8 8 8 9 8 8 8 8 9 9 10 10 10 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 9 9 9 9 9 10 9 9 8 6 5 4 3 4 5 7 9 10 11 9 8 8 7 8 8 8 8 8 9 10 10 9 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 13 17 19 18 17 16 15 12 10 8 8 9 10 11 12 13 13 14 15 nan
nan 8 8 8 9 9 9 8 8 9 10 10 10 10 9 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 9 9 9 8 6 5 4 4 5 6 7 8 9 10 9 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 11 13 14 14 13 14 14 13 11 8 7 7 7 8 9 11 12 13 14 15 nan
nan 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 9 10 9 8 8 9 9 9 8 6 5 5 6 6 7 8 9 9 9 8 7 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 10 10 9 8 7 6 5 5 7 9 10 12 13 13 14 nan
nan 7 8 8 9 9 9 9 8 9 10 10 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 9 8 9 8 8 9 9 8 8 8 8 7 7 7 8 9 10 10 9 8 9 9 9 9 8 7 7 7 7 7 8 9 9 9 8 7 7 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 6 5 4 3 3 3 4 5 7 10 12 13 13 13 14 nan
nan 8 8 8 9 9 9 9 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 7 7 8 9 10 9 9 9 9 9 8 8 7 7 7 8 7 7 6 5 6 6 6 7 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 4 3 1 0 -1 -3 -1 2 5 8 10 12 13 13 13 13 13 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 9 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 6 5 4 3 2 1 -0 -1 1 4 8 11 13 13 12 11 11 11 13 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 9 8 8 9 9 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 7 6 6 6 7 9 11 11 10 9 8 9 10 11 nan
nan 9 8 8 8 8 9 9 9 9 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 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 9 9 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 8 8 7 8 8 8 8 8 7 8 8 9 9 10 11 10 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 10 12 13 11 9 7 6 7 8 9 7 6 5 5 6 8 9 nan
nan 9 9 8 8 8 9 9 9 8 9 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 8 8 9 9 10 10 10 10 10 9 9 8 9 9 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 11 11 9 6 4 5 6 7 5 3 2 2 3 4 5 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
83 75 78 82 68 58 53 52 53 54 55 57 60 62 63 63 68 69 68 68 76 86 104 155 251 355 412 389 280 177 141 126 110 108 115 117 114 113 112 107 98 92 77 66 57 49 40 30 22 16 10 6 5 5 4 3 3 9 27 43 46 40 33 26 18 20 25 26 21 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 19 25 29 32 30 22 16 14 10 7 3 2 2 3 3 3 4 7 13 22 38 51 49 31 32 38 47 64 86 103 106 85 48 36 33 30 25 23 25 28 31 35 40 40
83 82 89 99 94 82 70 64 62 61 61 62 64 67 68 70 69 68 62 60 64 71 75 86 123 198 287 302 197 133 120 120 118 121 115 100 89 87 89 90 97 104 98 91 81 71 62 53 43 33 24 15 6 5 4 3 4 11 24 30 30 32 24 13 8 5 6 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 6 13 19 21 22 25 26 23 21 19 14 8 6 5 4 3 4 5 7 11 13 19 27 45 45 33 27 29 33 37 44 48 55 46 36 30 26 23 21 20 22 25 26 29 36 34
128 157 173 171 159 132 107 92 86 81 77 75 77 80 82 84 74 71 60 52 50 51 50 47 49 63 94 129 89 79 88 101 106 101 91 80 71 66 67 73 78 91 105 108 99 89 83 76 67 56 45 28 22 14 10 8 8 11 16 19 19 21 13 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 4 10 15 18 18 17 21 21 23 21 16 13 9 7 6 5 5 7 9 11 14 16 19 30 35 33 30 26 25 23 26 24 27 28 28 24 20 18 19 21 24 26 25 26 29 34
277 329 332 281 229 184 156 136 126 124 120 112 107 104 94 93 84 77 65 52 41 36 33 31 29 25 33 43 37 42 55 70 76 70 65 63 56 49 49 52 58 71 89 99 100 97 94 91 85 76 65 49 37 31 25 21 16 11 11 18 15 15 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 4 7 10 10 9 11 14 18 20 19 18 14 10 10 10 9 8 11 11 13 15 18 22 28 33 33 29 24 22 23 22 24 25 22 18 15 15 17 19 23 23 23 24 28 35
483 483 425 350 275 216 192 168 162 179 190 180 163 141 113 98 87 77 69 60 50 41 34 34 33 29 24 22 22 24 32 44 52 48 39 35 34 32 31 30 38 50 64 76 86 91 92 96 95 88 78 68 59 50 40 33 27 21 21 28 19 7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 0 0 0 0 0 0 0 0 1 2 2 1 2 3 7 13 16 18 17 14 10 9 8 9 13 13 15 17 20 23 25 27 28 28 23 22 20 20 22 21 17 13 11 11 11 14 20 21 22 24 27 33
527 500 452 372 291 215 168 145 166 230 292 295 255 211 164 112 82 71 66 63 60 53 46 45 43 39 31 27 26 22 21 26 33 35 30 24 20 18 16 17 22 30 39 52 66 76 82 88 89 88 83 75 67 60 52 44 41 38 38 39 19 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 12 15 15 10 9 8 10 15 18 20 22 24 24 26 27 27 26 24 22 21 22 21 16 10 7 7 8 7 9 14 17 20 23 27 32
402 407 405 317 220 146 100 94 153 294 455 493 383 312 246 141 76 58 57 58 57 51 45 44 50 54 45 38 34 28 22 21 24 28 29 26 23 21 19 12 11 16 22 31 43 54 65 79 87 89 86 76 66 60 55 51 49 48 47 48 22 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 14 12 9 9 10 12 18 23 27 29 30 31 32 32 30 28 25 20 18 19 15 9 4 5 6 7 7 8 10 13 17 19 24 27
231 215 222 182 122 81 59 60 127 293 483 503 361 345 282 158 82 54 46 45 45 43 37 36 45 59 48 44 41 37 30 24 21 21 24 28 37 36 31 21 14 12 13 17 22 29 40 59 69 77 80 79 74 67 59 53 50 54 51 56 34 16 6 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 3 6 8 9 10 10 12 18 26 31 35 38 38 38 39 37 33 28 23 17 12 10 9 5 5 6 7 8 8 10 14 16 16 20 26
93 86 74 67 57 45 33 34 74 171 267 229 148 204 181 109 61 43 37 34 34 32 31 31 36 43 38 41 49 54 46 30 22 16 18 28 42 43 38 29 21 15 13 11 11 13 20 36 48 60 69 77 80 73 61 55 48 51 51 55 44 25 12 4 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 0 1 6 8 8 9 11 16 24 29 36 43 47 47 48 47 43 38 31 24 22 17 15 10 9 9 8 8 9 11 14 15 14 16 18
30 31 33 33 28 22 16 15 26 50 67 40 29 60 62 46 33 31 33 33 32 31 30 28 29 31 32 41 57 74 78 61 35 20 15 17 28 31 30 27 23 19 15 9 5 5 9 19 31 43 53 59 62 61 57 55 47 46 48 50 48 35 19 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 8 12 18 24 31 40 47 52 56 57 55 50 41 32 37 25 20 16 13 12 11 10 9 12 13 13 12 13 14
16 16 16 14 10 6 4 4 5 6 6 4 5 14 21 21 20 26 32 32 31 31 29 24 23 26 34 47 61 76 91 83 59 35 22 17 14 14 17 20 22 20 17 9 4 1 3 8 16 23 31 39 44 47 45 47 44 43 41 43 49 44 28 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 10 13 19 24 34 44 53 60 65 65 61 52 48 47 39 31 22 17 15 13 11 9 9 10 9 9 9 9
21 19 17 11 6 5 6 6 8 9 10 9 13 15 19 20 20 25 30 30 27 24 23 22 21 27 39 49 52 58 73 84 77 55 37 25 16 13 13 13 12 13 11 7 3 1 3 4 5 7 14 22 26 32 36 35 37 37 33 32 37 38 30 18 7 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 7 9 13 19 29 40 52 64 74 77 81 74 64 54 46 38 28 21 17 15 13 12 12 10 9 8 8 7
34 32 32 28 24 24 26 30 38 45 45 35 41 35 29 26 24 27 33 40 43 33 25 21 20 24 35 40 36 35 44 56 60 53 44 36 27 20 15 11 6 5 5 2 1 2 7 10 7 3 5 13 22 25 30 26 27 27 24 23 28 33 29 16 7 1 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 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 6 9 14 23 34 49 70 92 112 127 111 85 64 51 40 32 26 23 20 15 14 13 12 11 9 7 6
54 56 64 75 76 64 56 72 92 110 102 103 97 68 42 31 28 31 52 86 103 85 43 25 20 21 26 29 26 26 29 30 32 31 31 31 26 18 12 9 7 7 5 1 0 1 5 6 4 1 2 13 30 27 30 26 21 18 18 21 26 28 18 13 6 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 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 7 11 16 24 33 61 100 140 157 139 108 83 65 53 41 32 28 23 19 16 14 13 13 12 10 9
83 126 183 203 188 154 105 92 119 137 133 150 131 90 68 77 94 99 92 102 109 115 65 34 24 21 19 19 22 25 26 20 18 16 15 15 17 15 10 6 4 4 4 3 1 0 1 1 1 0 0 4 28 26 32 26 18 14 16 21 24 27 16 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 10 14 19 41 76 114 143 147 132 113 94 73 55 41 34 30 25 20 16 14 13 13 12 13
132 244 343 329 267 237 175 89 105 120 133 162 174 157 132 123 118 86 45 36 44 39 31 28 27 22 16 12 10 15 17 14 11 8 5 5 9 11 10 8 5 3 4 5 4 1 0 0 0 0 0 0 17 20 21 18 15 14 18 20 21 18 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 7 7 11 22 37 64 101 137 162 174 144 109 84 62 47 36 30 26 22 17 15 14 13 14
247 329 309 210 160 172 157 97 114 135 147 159 170 162 137 111 92 65 47 26 20 18 17 17 16 13 7 4 0 4 7 7 5 2 1 1 3 6 6 7 5 4 4 5 6 3 0 0 0 0 0 0 7 12 12 12 15 16 20 22 19 10 3 1 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 4 4 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 3 4 4 6 7 9 15 30 58 102 170 226 194 168 142 105 67 44 35 33 29 24 21 17 15 14
305 302 175 39 29 66 95 119 150 200 188 162 145 130 107 78 51 31 22 18 16 15 13 9 7 4 1 0 0 1 2 5 4 2 1 2 1 1 1 2 3 2 2 3 5 5 2 1 0 0 0 0 1 2 2 6 12 11 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 6 6 5 2 1 0 0 0 1 1 2 2 1 0 0 0 0 0 1 2 2 4 3 4 5 6 9 15 27 47 66 116 169 200 195 165 125 85 54 43 37 33 28 23 20 17
165 107 54 26 33 55 110 186 233 259 228 177 132 98 69 41 21 12 10 9 9 10 8 5 2 1 0 0 0 0 0 1 2 1 1 1 0 0 0 1 1 0 1 2 4 4 1 0 0 0 0 0 0 0 0 2 7 5 1 0 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 1 2 4 6 7 7 7 5 3 2 2 1 2 2 3 2 2 1 1 0 0 0 1 2 2 3 3 3 4 5 6 8 11 22 31 63 118 171 220 260 241 186 120 85 60 46 39 33 27 22
27 25 33 45 55 69 131 224 287 273 238 201 154 101 53 23 5 1 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 2 0 0 0 0 0 0 0 0 0 1 3 1 0 0 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 2 4 5 7 8 8 8 8 6 4 3 3 3 4 3 2 2 2 1 1 1 1 2 3 2 3 4 5 5 6 7 7 12 19 37 68 117 197 302 345 334 260 194 133 95 72 51 39 35
9 17 32 49 53 49 99 161 232 243 221 203 185 146 85 38 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 6 3 1 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 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 10 9 9 6 6 5 4 5 6 6 7 7 2 1 1 1 2 3 3 3 3 4 3 6 7 7 8 10 16 31 61 126 238 351 456 470 384 286 212 150 98 61 53
5 9 15 23 24 19 48 119 211 223 187 175 167 108 60 29 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 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 1 1 2 6 11 15 15 13 12 10 8 6 6 6 7 10 18 28 5 3 2 2 2 2 3 3 3 5 4 5 7 7 7 9 11 15 29 66 140 262 435 549 544 476 381 286 204 134 93
3 3 3 3 4 4 24 113 213 205 153 139 129 68 33 13 3 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 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 1 5 12 21 31 37 37 24 19 15 11 8 8 8 9 19 31 10 5 4 3 3 3 3 4 3 5 5 5 6 7 7 8 8 10 15 28 63 147 283 436 565 608 534 446 353 252 174
1 1 0 0 0 0 19 92 155 131 92 87 67 32 18 12 6 3 3 3 4 3 5 6 9 6 4 4 2 3 8 13 18 24 13 20 27 18 6 1 0 0 0 0 0 0 0 0 1 2 3 3 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 6 14 22 31 51 63 58 65 55 41 27 17 9 8 7 34 18 8 6 5 4 4 4 3 4 4 5 5 6 7 7 7 7 9 8 10 13 26 61 133 261 443 535 539 502 432 350 268
0 0 0 0 0 0 8 37 58 51 49 65 63 48 39 34 28 26 20 15 14 14 17 21 23 20 19 19 21 26 33 38 39 42 47 51 38 13 1 0 0 0 0 0 0 0 0 1 3 6 7 7 5 2 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 0 0 0 2 13 28 38 49 71 89 99 108 106 87 60 35 16 12 8 11 9 10 10 8 6 5 5 4 4 5 5 5 5 6 6 5 6 9 8 9 11 14 23 41 78 216 328 398 431 434 417 376
0 0 0 0 0 0 1 5 13 23 34 43 32 15 16 20 18 18 17 16 16 19 22 29 36 43 56 66 74 79 80 81 81 82 79 57 31 9 0 0 0 0 0 0 0 0 0 0 2 4 4 2 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 5 8 10 11 10 5 0 1 1 1 3 12 28 44 54 65 86 110 137 159 166 149 108 68 43 30 29 30 26 28 29 24 19 12 6 4 5 5 5 5 5 6 5 6 6 7 8 9 11 13 14 18 27 95 168 232 303 377 440 468
0 0 0 0 0 0 0 0 2 5 6 6 3 1 0 0 0 1 2 2 6 11 19 27 42 59 79 99 113 115 115 118 112 104 76 33 10 3 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 2 4 3 3 2 1 1 0 0 0 0 0 0 0 1 8 17 23 25 23 17 12 14 12 13 21 34 46 54 62 73 97 132 166 193 214 220 182 132 88 57 43 39 41 44 45 46 39 33 27 15 8 7 6 5 5 6 5 6 7 7 7 8 11 13 14 16 18 32 53 93 162 256 372 475
0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 5 17 24 40 51 57 68 82 95 108 91 63 35 21 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 3 3 3 3 2 1 0 1 0 0 0 0 0 3 10 21 31 35 35 29 23 20 21 27 35 43 51 59 66 78 105 153 199 225 246 262 252 215 156 97 64 51 45 43 43 44 44 43 42 39 32 23 16 11 7 7 6 6 7 7 8 8 9 12 14 15 16 17 18 30 62 126 234 356
0 0 0 0 0 0 0 0 0 1 2 4 5 7 8 4 1 0 0 0 0 2 16 19 20 19 18 23 37 61 77 29 13 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 1 3 4 4 3 3 3 2 1 1 0 0 0 0 0 0 2 10 24 40 45 42 36 31 29 32 37 41 47 53 61 68 80 104 151 211 255 279 295 304 292 245 175 115 79 57 47 44 42 41 42 45 46 44 41 34 27 20 15 8 5 6 6 9 8 9 10 11 13 15 16 17 18 21 44 98 188
2 1 0 0 0 0 0 0 2 6 8 9 10 9 6 2 0 0 0 0 0 0 8 6 1 0 1 3 7 11 11 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 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 3 10 22 39 47 46 42 37 33 32 37 43 50 56 64 72 82 102 135 176 218 263 317 348 356 332 278 215 165 111 71 58 51 46 45 45 47 51 50 45 39 34 27 20 13 7 8 10 9 9 8 9 11 14 15 17 16 17 20 44 92
7 6 3 0 0 0 0 0 0 2 5 7 8 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 2 10 19 34 48 50 48 45 40 37 40 45 53 60 69 79 89 105 126 157 191 242 295 343 383 395 370 324 277 198 123 92 82 72 60 50 42 47 54 56 49 41 35 31 29 27 21 19 16 13 10 9 9 11 13 15 15 17 18 23 36
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