Vorticity
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nan 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 3 3 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 6 5 4 4 4 4 5 6 7 7 6 6 6 7 7 7 7 7 6 5 4 4 5 5 5 6 8 8 8 8 9 8 8 7 7 7 7 7 6 6 5 5 4 4 5 5 6 7 8 9 10 10 9 7 6 5 4 3 3 3 3 3 4 4 5 5 6 6 7 7 7 7 nan
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nan 8 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 7 8 8 8 8 7 7 8 9 9 8 8 8 8 8 6 5 3 3 3 5 5 6 6 6 6 5 6 6 6 6 6 7 7 7 7 7 6 6 7 8 8 7 6 6 4 1 -0 0 2 3 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 7 7 7 6 6 6 6 nan
nan 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 5 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 6 7 8 8 8 8 7 7 8 9 9 8 8 8 8 8 7 6 4 3 3 4 5 5 6 6 6 5 6 6 7 6 6 6 6 6 6 6 6 5 6 7 8 8 7 7 6 4 3 2 2 3 4 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 7 6 6 6 nan
nan 7 8 9 9 9 9 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 6 6 8 8 8 8 7 7 8 9 9 9 8 8 8 8 8 8 6 4 3 3 3 4 5 6 6 6 5 6 7 7 7 6 6 5 5 5 6 5 5 5 6 7 8 8 7 6 6 6 4 3 4 6 9 11 10 8 6 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 nan
nan 8 9 9 9 8 8 6 5 5 6 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 8 9 9 9 8 8 8 8 8 8 6 4 2 2 2 3 4 6 6 6 5 6 7 7 7 7 6 5 4 5 6 5 5 5 5 7 8 7 5 4 6 7 6 5 6 9 12 13 11 8 5 3 3 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 nan
nan 9 9 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 8 8 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 7 5 3 1 1 2 5 6 7 6 5 5 6 6 7 7 6 5 4 5 6 5 5 5 5 7 8 6 3 4 6 7 7 8 9 11 12 11 10 6 3 1 3 5 6 6 6 6 6 7 6 6 6 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 9 10 11 10 10 9 8 8 8 8 8 7 7 7 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 10 10 8 6 3 1 1 2 4 6 8 8 6 5 5 6 6 7 6 5 5 5 5 5 5 5 6 7 7 4 4 4 6 7 8 9 11 11 11 10 8 5 2 2 4 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 6 6 6 8 8 7 6 6 6 7 7 7 7 8 9 10 10 9 9 9 8 8 8 9 10 9 8 8 7 7 8 9 10 11 11 9 6 3 1 1 2 4 7 8 9 7 5 5 5 6 6 6 5 5 5 5 4 5 5 7 7 5 4 4 5 6 7 8 10 11 11 10 8 7 5 5 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 9 9 8 7 6 6 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 6 6 6 5 5 4 5 6 7 7 7 6 6 7 7 7 8 8 9 10 10 10 10 9 8 8 9 10 10 9 8 7 6 6 7 9 11 12 12 10 7 4 1 1 2 4 7 9 9 7 5 5 5 6 6 6 5 5 4 4 4 5 6 7 6 4 3 4 6 7 7 8 10 11 10 9 8 7 7 7 8 7 6 5 6 7 7 8 8 8 8 7 6 6 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 8 7 5 5 6 7 8 8 9 9 9 9 9 9 10 10 10 10 8 7 6 5 5 5 5 5 4 5 6 7 8 8 7 7 8 8 8 8 9 10 10 10 10 9 8 9 9 10 10 9 8 7 7 7 8 10 12 13 13 11 7 4 1 1 3 5 8 9 8 7 5 5 6 6 7 7 6 5 5 4 4 5 6 6 5 3 3 5 6 7 8 8 9 11 11 9 8 7 7 8 8 7 6 7 7 8 8 9 9 9 9 8 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 6 5 4 5 6 7 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 6 5 5 5 5 4 5 6 8 8 8 7 8 8 8 9 9 10 10 10 9 9 9 9 10 11 10 9 9 8 8 8 8 10 12 13 12 9 6 3 2 2 4 6 8 9 8 7 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 6 7 7 8 9 10 11 10 8 7 6 7 7 7 7 7 8 8 8 9 9 10 11 12 11 10 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 6 5 5 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 8 7 6 6 5 4 4 5 6 7 7 7 8 9 9 10 10 10 10 9 9 8 9 9 10 10 10 10 9 9 8 8 8 10 11 11 10 7 3 1 2 4 6 7 8 9 8 6 5 5 6 6 6 5 5 5 6 6 6 5 4 4 4 5 6 7 7 7 8 10 11 11 9 6 6 6 6 6 7 6 6 7 8 8 9 11 13 15 16 15 12 10 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 nan
nan 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 8 7 6 6 5 5 4 5 6 6 7 8 8 9 10 10 11 10 9 9 8 9 9 10 10 10 9 9 9 9 9 9 10 10 9 7 3 -0 -0 3 6 8 8 8 8 7 5 5 6 7 7 5 4 4 5 7 7 6 5 4 4 5 6 7 7 7 8 9 10 10 9 5 4 5 5 6 6 6 6 6 7 8 9 10 11 13 15 15 14 11 7 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 8 7 6 6 5 5 5 6 6 7 8 9 9 10 10 10 10 9 9 9 9 10 10 9 9 8 9 9 10 10 10 9 7 4 -0 -1 0 4 7 8 9 8 8 6 5 5 7 8 7 5 4 5 6 7 7 7 5 5 5 6 7 7 7 8 8 9 9 8 6 4 4 6 6 7 7 6 7 8 9 9 9 9 10 10 11 11 8 4 1 2 5 7 8 8 7 7 7 7 7 8 8 8 8 8 8 7 nan
nan 9 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 10 11 12 12 11 10 8 7 6 6 6 6 6 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 10 11 10 9 5 1 -1 -1 1 4 7 9 9 8 7 6 5 6 8 8 6 5 4 5 6 7 7 7 6 6 6 7 7 7 7 8 8 9 8 7 5 5 6 7 7 7 7 7 9 10 10 9 8 8 8 8 8 7 3 -2 -3 1 6 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 nan
nan 9 8 9 9 8 7 7 7 8 8 7 7 6 6 5 5 6 6 7 8 8 8 9 9 10 11 12 12 11 9 8 7 6 6 6 6 7 8 8 8 7 8 8 10 11 11 11 10 9 9 8 8 8 9 9 10 10 9 7 3 -0 -1 0 2 5 7 8 8 7 6 5 6 7 7 7 6 6 6 5 6 6 7 7 7 6 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 8 8 9 9 10 10 9 8 8 8 8 7 5 1 -3 -1 4 8 10 9 8 8 7 7 8 8 9 9 9 9 8 8 7 nan
nan 9 9 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 6 7 7 7 7 8 8 9 10 10 11 10 10 9 8 7 7 6 6 7 8 8 8 7 6 7 8 10 11 11 10 9 9 9 8 8 8 9 9 9 8 5 1 -0 0 2 5 7 8 8 7 6 5 5 6 7 7 7 7 7 7 6 5 6 7 8 7 7 7 7 7 7 7 7 6 6 5 5 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 6 4 1 0 5 10 13 12 11 9 9 8 8 9 9 9 9 9 8 8 7 7 nan
nan 8 8 8 7 8 9 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 10 10 10 9 8 7 7 7 7 8 9 8 7 6 6 7 9 10 11 11 10 10 10 9 9 8 8 8 7 6 4 2 2 3 6 9 10 10 9 7 6 5 5 6 8 8 8 8 7 6 5 5 7 8 8 8 7 7 7 7 7 6 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 8 7 8 8 8 8 7 5 5 8 13 16 16 14 12 11 10 9 9 9 9 9 9 9 8 7 7 7 nan
nan 8 8 8 9 10 10 10 9 8 8 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 8 8 9 10 10 9 8 7 7 7 8 8 9 9 8 8 7 7 7 8 10 11 10 10 10 10 9 9 8 7 7 6 5 4 5 7 9 11 11 11 9 7 6 7 8 9 9 9 9 7 6 4 5 6 8 9 8 7 7 6 6 6 7 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 9 8 7 7 8 10 14 17 18 16 14 14 13 11 10 9 9 9 9 9 8 8 7 7 7 nan
nan 9 9 9 10 10 10 9 8 8 7 7 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 8 8 7 6 7 8 9 9 9 8 8 7 6 6 7 9 10 10 9 10 10 9 8 8 7 7 6 6 7 9 11 11 11 9 8 7 7 8 9 10 10 10 8 6 5 4 6 8 8 7 6 6 6 5 5 6 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 12 14 14 13 12 13 13 12 10 8 8 8 9 8 8 8 7 7 7 7 nan
nan 9 9 9 9 9 8 8 8 7 7 6 7 7 8 8 7 7 7 8 8 8 7 7 7 6 6 5 6 6 6 7 8 8 8 7 6 6 7 8 8 8 8 8 7 5 5 6 7 9 9 9 9 9 9 9 8 8 7 6 6 8 10 10 10 9 8 7 8 9 10 9 9 9 9 7 6 5 6 7 7 6 4 4 5 5 4 5 8 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 10 10 10 9 9 9 10 10 9 7 5 6 7 8 8 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 6 7 7 8 8 7 6 7 7 8 8 8 8 8 7 6 5 6 7 7 8 8 8 8 7 7 7 6 6 7 9 10 10 9 8 8 9 10 11 10 9 9 9 8 6 5 6 7 8 6 4 3 4 5 4 4 6 7 8 7 7 6 6 7 8 10 10 9 9 9 10 9 9 9 9 9 9 10 11 12 11 10 9 8 8 7 6 6 5 4 3 1 1 4 6 7 8 8 8 8 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 8 7 6 5 5 6 7 7 7 6 6 5 5 5 5 6 8 9 9 9 8 8 9 10 11 10 10 10 9 8 7 7 8 9 8 6 5 4 5 6 5 6 6 6 6 6 6 6 7 8 10 10 9 9 9 10 10 9 9 9 9 9 10 11 13 13 11 9 8 8 8 6 3 1 -0 -1 -2 -4 -0 4 7 8 8 8 8 8 8 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 7 6 6 6 6 7 7 7 8 8 8 8 7 6 6 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 7 8 7 7 6 5 4 4 3 3 4 6 7 8 8 8 8 8 9 9 9 9 9 9 9 8 9 10 10 8 7 6 7 8 8 8 8 7 6 7 7 7 7 7 9 10 9 8 8 9 10 10 10 10 9 9 9 10 13 13 12 10 8 7 8 8 5 2 0 0 1 -1 0 4 7 8 9 9 8 8 8 8 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 8 7 6 7 7 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 9 9 9 8 7 6 5 5 4 3 2 3 4 6 7 7 7 8 8 7 7 8 9 9 9 9 10 10 10 9 8 8 9 10 10 10 9 8 7 8 8 7 6 7 8 8 8 8 9 10 11 11 11 10 9 9 10 12 12 11 9 7 6 6 7 5 4 4 6 8 8 7 7 9 9 9 9 9 9 8 8 8 8 8 nan
nan 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 9 10 10 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 10 10 10 10 10 9 9 8 7 5 3 3 4 5 6 6 7 7 7 6 6 7 7 8 8 8 9 9 9 8 8 9 10 10 10 10 8 8 9 10 9 7 7 7 8 8 8 9 9 10 11 11 10 9 8 9 11 11 10 8 6 6 6 6 6 5 6 8 11 13 12 10 9 8 9 9 9 9 8 8 8 8 8 8 nan
nan 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 8 9 9 9 10 10 10 11 11 10 10 9 8 7 6 6 5 6 6 7 6 6 5 6 6 6 7 7 8 8 7 7 8 9 10 10 9 9 8 9 10 10 9 8 8 9 10 9 10 9 9 9 10 10 9 8 8 9 10 9 8 7 7 8 9 8 8 9 9 10 12 11 9 6 5 7 8 8 9 9 8 8 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
372 215 134 86 47 31 23 19 17 16 15 18 22 26 28 31 34 36 36 42 50 75 96 115 138 157 163 154 140 130 120 112 113 111 108 100 85 72 65 61 57 54 55 49 52 48 44 46 53 60 62 66 71 73 88 86 95 104 97 83 70 60 51 43 34 31 25 19 13 7 3 2 2 3 4 6 7 7 5 4 3 1 1 1 15 46 64 70 65 64 51 41 26 22 19 16 20 28 31 24 22 19 21 23 32 47 67 81 113 222 417 639 826 872 783 644 476 332 233 175 143 102 42 26 23 23 22 18 14 11 12 15 14 15 19
383 235 163 108 79 43 34 28 22 19 19 23 28 31 34 36 41 53 67 85 94 110 133 155 176 195 201 188 168 158 148 145 145 139 128 115 101 89 84 79 77 74 79 76 78 71 62 62 69 74 75 77 86 88 96 98 97 91 83 77 73 61 39 31 29 24 18 12 7 4 3 3 3 4 4 5 6 5 4 3 3 1 0 1 11 39 71 92 89 89 70 59 47 36 27 22 20 35 41 29 22 19 19 20 24 33 45 54 63 102 185 323 539 731 781 725 600 435 280 176 130 119 63 38 27 23 18 14 13 12 13 15 15 16 18
326 243 179 134 113 73 58 50 39 30 26 28 32 35 38 41 71 93 112 128 142 158 175 191 208 223 231 214 202 207 207 207 203 191 175 160 149 149 132 129 122 119 117 113 108 100 93 91 91 91 94 98 105 105 106 104 94 79 66 57 55 69 38 27 25 21 16 11 8 6 6 5 4 3 4 5 6 7 8 8 7 3 1 3 12 39 75 119 113 105 87 66 46 38 41 36 26 41 45 38 29 21 18 17 20 26 33 38 41 52 83 154 249 424 584 683 678 550 370 238 182 154 109 76 57 42 30 24 21 19 18 18 18 19 22
333 254 201 168 146 122 107 93 77 62 56 54 46 57 71 88 110 124 142 162 179 192 203 215 230 235 233 225 235 255 269 277 279 272 264 249 219 241 223 210 193 192 186 172 161 153 142 128 116 121 123 123 120 114 111 108 98 82 73 62 43 55 37 23 22 21 17 13 10 10 10 10 9 9 9 9 11 14 19 22 19 11 4 5 8 37 90 131 134 126 114 94 70 56 53 42 42 42 47 49 45 34 25 20 19 22 25 27 31 33 43 100 207 358 567 796 886 779 564 403 322 267 219 183 152 119 84 54 35 33 32 30 27 28 29
359 279 230 198 177 159 141 127 114 108 110 112 108 111 125 136 139 149 163 177 195 208 212 219 233 227 224 245 274 298 317 325 327 314 302 320 294 289 288 280 273 273 274 270 259 244 227 197 179 181 172 168 148 131 120 116 117 120 107 77 45 32 25 20 30 31 23 18 18 20 21 18 19 18 24 24 24 24 31 36 33 26 15 20 30 77 140 187 202 188 165 152 129 92 74 65 65 63 67 66 59 51 45 40 33 25 20 19 24 26 27 42 91 220 492 935 1235 1199 1016 809 653 570 507 418 314 238 186 135 79 71 66 58 48 40 36
361 292 257 223 205 188 168 155 145 141 144 147 147 144 148 158 164 163 165 173 180 188 199 215 227 225 240 280 312 328 345 356 360 356 351 358 339 340 349 346 347 355 369 381 378 359 341 316 293 265 244 242 195 168 150 134 146 165 126 68 46 35 28 35 45 40 30 27 32 37 39 30 31 28 46 53 44 37 40 47 42 40 33 50 76 119 190 265 310 290 240 224 207 175 136 101 104 111 103 91 81 74 66 57 59 45 25 18 22 26 24 20 16 47 222 662 1087 1339 1504 1528 1359 1169 1032 788 504 335 278 226 179 155 131 109 87 62 49
314 285 277 249 229 217 205 191 171 150 135 130 139 145 155 172 178 170 168 171 173 180 197 218 238 253 284 317 339 355 373 388 398 404 408 416 432 436 432 426 424 435 450 465 469 453 439 432 405 375 332 327 293 243 202 183 192 193 145 83 63 62 54 50 43 34 36 48 49 36 32 32 28 42 67 75 67 56 50 54 42 37 44 79 131 190 252 329 394 404 367 337 295 248 203 146 132 126 118 114 109 98 78 72 78 57 35 21 18 18 18 18 17 19 71 245 478 850 1236 1519 1655 1566 1364 999 569 401 371 352 319 266 203 155 125 80 58
300 310 294 270 249 233 214 187 155 127 106 96 101 126 152 175 178 175 177 180 188 208 225 226 245 273 316 349 374 399 421 434 447 465 490 526 549 534 533 526 511 501 495 487 479 468 460 474 445 429 395 377 347 303 268 259 268 226 216 152 125 111 98 81 63 56 67 101 88 42 31 42 38 41 65 78 62 53 61 56 38 39 56 104 165 252 340 409 472 515 528 510 429 350 293 238 184 142 128 147 164 143 105 88 75 63 49 32 17 10 11 14 15 20 43 89 146 333 566 753 929 1103 1056 792 520 451 486 530 486 371 257 165 120 82 59
325 328 303 279 247 200 152 117 99 94 94 96 97 121 138 151 163 173 184 194 195 197 229 246 278 317 347 388 418 442 470 498 514 544 585 634 622 596 584 569 539 499 454 406 369 371 374 383 387 390 378 374 376 365 345 330 342 277 263 214 188 189 192 171 138 119 118 171 149 102 81 97 100 109 122 107 71 50 61 58 39 46 60 118 205 311 419 495 548 604 671 701 634 550 481 424 353 263 205 226 266 220 162 118 87 78 66 44 24 11 8 12 14 17 31 52 74 122 193 251 281 393 524 497 445 439 471 501 469 364 252 161 117 98 89
378 339 300 264 210 140 87 61 56 85 108 113 119 130 134 135 141 154 171 181 185 197 218 259 303 348 396 439 470 493 519 543 548 565 558 560 567 560 537 500 446 383 328 283 250 266 275 276 271 262 261 279 303 329 371 354 358 334 295 257 238 262 289 271 238 232 218 198 166 118 74 89 99 97 102 83 70 53 41 39 35 46 75 142 249 381 501 575 623 673 780 870 897 897 884 858 779 610 472 441 428 344 255 193 146 110 87 64 37 13 10 11 8 10 17 27 39 53 79 111 131 198 269 318 338 346 352 341 310 284 242 188 152 129 115
391 329 282 230 165 106 75 57 49 89 120 123 129 137 133 120 122 138 149 151 157 179 227 278 335 390 439 482 516 535 540 554 579 559 516 488 483 466 435 388 325 269 239 238 233 241 246 248 246 233 221 237 274 299 349 333 317 309 310 295 267 283 322 308 282 251 196 149 111 70 34 33 39 44 56 49 41 42 25 20 31 52 92 179 318 466 571 637 706 757 854 968 1080 1207 1378 1502 1434 1210 987 865 769 642 468 347 294 224 167 128 83 53 31 21 18 16 15 20 24 25 37 60 78 115 165 215 250 276 297 297 292 289 290 258 234 215 204
330 274 230 183 130 92 73 64 70 93 101 105 112 124 125 117 120 135 149 169 195 227 269 324 383 433 477 517 550 571 572 545 560 565 548 520 472 411 372 327 263 237 237 246 248 242 249 249 250 240 225 238 279 317 321 299 286 301 319 317 289 274 305 297 246 178 80 72 61 38 18 8 8 10 9 4 10 37 45 39 46 76 141 260 442 612 696 749 830 908 983 1071 1185 1315 1470 1701 1808 1722 1593 1419 1273 1113 914 735 608 498 385 300 220 166 114 81 66 57 47 55 51 42 54 67 81 104 146 200 250 291 327 351 347 354 389 392 382 371 362
252 216 187 161 130 107 97 92 99 98 90 102 108 117 128 149 181 207 218 244 281 309 337 383 435 477 516 549 569 576 572 539 515 493 471 423 395 373 340 297 254 254 258 255 252 236 229 214 201 197 196 199 216 222 279 287 304 323 323 320 302 268 266 282 242 188 90 72 56 31 14 7 4 2 1 3 4 22 38 45 69 129 231 389 557 715 797 879 980 1093 1197 1278 1347 1431 1483 1585 1753 1843 1936 1861 1753 1641 1471 1265 1089 954 806 653 512 397 299 224 180 161 135 145 139 123 114 120 136 162 205 264 321 368 395 443 468 479 516 552 556 541 553
242 233 221 208 192 168 142 130 114 110 102 110 120 134 159 195 227 248 272 306 334 364 399 444 486 520 547 558 546 522 490 442 387 358 328 284 276 296 302 290 270 253 246 245 226 199 178 161 150 147 152 177 222 244 307 271 268 275 278 285 284 267 265 257 252 200 145 103 66 35 13 5 5 3 5 5 9 19 27 57 128 226 349 459 577 701 806 926 1056 1178 1274 1344 1421 1542 1647 1647 1694 1746 1912 2038 2090 2097 2016 1815 1609 1383 1230 1083 931 779 620 472 384 348 308 307 294 264 240 240 256 278 313 365 422 470 503 557 597 627 665 706 741 726 743
287 269 246 252 249 212 185 161 133 127 117 115 130 158 188 220 260 296 310 341 358 393 439 480 510 530 535 516 472 421 367 309 276 244 210 197 214 240 269 289 269 238 201 193 163 133 120 116 113 115 128 138 181 179 183 190 199 209 221 229 232 200 170 152 159 155 138 108 73 44 22 15 11 8 9 15 27 46 68 121 221 323 400 409 495 643 775 907 1036 1145 1226 1287 1356 1518 1738 1847 1798 1748 1801 1923 2062 2201 2318 2256 2082 1888 1741 1597 1417 1236 1062 868 742 644 580 542 522 500 472 447 436 446 469 513 561 607 650 700 752 805 852 873 915 916 948
151 96 95 171 195 148 200 182 148 143 142 142 157 185 207 225 256 297 326 373 393 417 445 473 495 505 486 431 363 299 238 185 155 131 121 131 152 177 205 219 197 181 136 122 104 88 78 71 63 58 69 88 114 138 146 146 144 143 140 133 161 123 102 104 110 115 115 98 68 51 42 43 43 56 64 58 56 70 110 187 294 379 425 482 567 644 738 854 974 1080 1167 1216 1249 1348 1480 1606 1615 1569 1544 1556 1668 1832 1962 2141 2203 2195 2130 1974 1772 1579 1427 1305 1110 968 888 845 812 759 696 657 664 671 688 718 744 774 811 857 906 959 1021 1051 1090 1122 1143
27 34 59 109 112 81 166 159 147 158 163 176 192 223 246 253 282 308 352 381 415 436 446 458 470 464 416 327 242 179 133 102 86 78 80 91 108 120 116 119 105 80 67 63 56 48 39 27 23 22 25 57 85 101 105 105 95 77 60 51 84 75 75 82 81 83 85 80 67 60 54 60 80 102 92 70 63 82 129 204 293 378 424 500 572 633 715 820 918 995 1090 1107 1097 1101 1103 1100 1112 1163 1228 1230 1319 1374 1378 1446 1730 1933 2000 2016 1958 1851 1712 1438 1317 1288 1273 1236 1147 1040 972 971 978 970 969 950 958 985 1007 1027 1055 1094 1156 1204 1241 1257 1268
23 28 60 86 79 77 94 95 135 154 157 179 195 227 266 276 296 316 354 396 425 436 439 442 438 401 318 212 129 89 68 56 52 51 55 55 45 42 48 56 46 30 23 22 19 14 8 4 6 6 14 37 54 63 67 64 51 32 21 23 40 45 47 47 53 60 61 58 58 56 52 59 56 72 76 62 62 88 132 187 270 368 423 480 541 608 676 745 810 872 944 957 926 855 770 715 727 857 1069 1147 1162 1200 1271 1364 1605 1829 1978 2163 2234 2181 2158 2042 1887 1764 1712 1663 1568 1476 1424 1470 1389 1343 1290 1257 1258 1273 1252 1214 1230 1260 1292 1309 1347 1392 1419
33 34 39 36 29 32 24 29 56 98 123 144 182 224 247 278 305 336 383 424 441 445 446 426 377 303 204 112 63 46 39 37 38 38 35 36 41 31 20 19 14 8 5 4 4 2 1 1 1 2 6 13 21 29 32 27 18 13 11 15 20 25 28 29 32 36 36 34 38 41 38 39 34 43 58 63 68 84 113 178 280 360 411 469 536 580 595 616 642 692 730 740 706 638 581 582 658 847 1105 1270 1358 1405 1513 1711 1804 1812 1851 2024 2118 2112 2147 2151 2092 1976 1897 1897 1906 1853 1830 1935 1851 1704 1657 1651 1631 1631 1598 1534 1522 1498 1480 1473 1491 1525 1542
25 14 5 0 0 0 0 2 4 26 58 97 142 183 224 279 338 387 429 462 453 431 404 356 279 191 110 54 35 28 23 19 15 13 13 9 7 1 4 5 5 4 2 1 1 0 0 0 1 2 3 4 5 6 7 4 5 6 10 11 11 13 14 13 13 15 18 21 24 29 26 24 22 26 34 38 40 55 80 152 246 319 378 439 485 497 507 507 507 523 551 558 537 502 486 528 651 844 1036 1166 1172 1196 1273 1272 1193 1181 1314 1430 1399 1435 1487 1507 1534 1546 1563 1662 1677 1735 1792 1811 1787 1782 1833 1910 1929 1947 1973 1984 1902 1812 1754 1709 1678 1672 1682
5 2 0 0 0 0 0 0 0 8 30 66 101 127 154 218 330 403 444 449 420 370 309 241 168 100 50 26 17 12 9 7 3 1 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 2 3 6 6 7 7 7 7 7 7 10 15 15 17 17 16 16 17 18 21 24 27 48 104 176 246 314 382 429 443 439 432 419 421 441 448 428 405 410 449 529 636 742 816 806 809 849 848 841 842 957 1022 1000 1016 1044 1048 1031 1041 1140 1280 1331 1465 1579 1702 1772 1787 1858 1947 1988 1985 2021 2123 2052 1944 1892 1854 1830 1825 1830
1 0 0 0 0 0 0 0 0 18 46 78 121 158 139 166 302 360 383 367 321 258 192 134 82 42 19 9 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 1 2 2 2 3 3 3 2 2 5 7 7 7 8 10 11 11 10 8 6 9 26 58 101 151 218 299 356 375 379 384 370 373 393 398 380 359 363 407 451 482 536 624 681 688 682 697 741 794 900 972 1010 1043 1062 1035 1014 999 1046 1100 1140 1228 1302 1380 1512 1599 1646 1695 1707 1678 1686 1694 1731 1796 1824 1805 1849 1900 1978
1 0 0 0 0 0 0 0 4 22 49 83 108 100 116 151 232 299 302 247 182 127 81 46 23 10 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 1 1 0 0 1 1 1 1 2 3 4 3 4 2 1 3 12 28 53 87 135 215 290 322 342 371 375 383 409 414 402 391 397 426 452 469 524 605 661 682 712 753 816 898 965 1031 1095 1124 1101 1080 1041 993 1023 1029 1033 1080 1115 1143 1201 1213 1258 1307 1326 1326 1345 1381 1436 1531 1660 1695 1782 1817 1863
0 0 0 0 0 0 0 0 3 17 41 65 78 79 99 134 163 161 120 82 55 31 15 4 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 1 2 6 18 40 72 117 184 254 313 347 384 410 423 435 416 391 406 428 436 454 480 503 519 544 588 657 710 764 842 908 970 1035 1067 1073 1085 1057 1033 1016 974 963 987 978 924 849 834 890 939 971 1003 1048 1105 1202 1360 1509 1534 1523 1516 1529
0 0 0 0 0 0 0 1 3 10 22 30 24 21 50 93 86 50 15 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 1 5 18 45 94 168 226 265 300 334 363 383 384 361 314 297 312 332 339 342 342 335 322 327 350 387 429 475 532 583 627 673 696 762 847 865 865 846 822 809 805 770 710 668 633 638 649 660 680 727 842 1084 1207 1235 1227 1205 1196 1188
0 0 0 0 0 0 1 1 2 2 4 4 2 1 16 37 22 7 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 1 4 15 40 91 195 266 305 318 310 289 270 248 217 187 173 168 168 170 170 163 148 141 141 138 133 150 178 194 210 247 287 306 360 464 520 527 555 599 616 647 595 533 500 488 469 450 455 485 501 588 675 755 862 910 918 938 943
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