Vorticity
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nan 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 8 9 11 12 13 12 11 10 9 8 8 9 10 10 10 10 10 11 11 12 12 12 13 13 13 13 11 10 10 10 11 12 12 12 12 10 8 6 7 10 13 16 15 13 10 8 8 10 10 10 9 8 8 8 8 8 7 6 5 4 2 1 3 6 8 10 11 12 15 16 14 12 11 11 11 11 10 10 10 11 12 12 11 10 10 10 10 9 8 8 9 12 16 16 14 13 13 12 12 10 8 7 6 6 4 2 0 1 3 5 7 8 8 7 7 9 12 14 15 15 13 11 8 8 7 7 7 7 7 6 5 5 7 9 11 10 8 6 4 5 5 5 4 5 5 7 10 13 13 12 9 5 2 -1 1 4 7 10 12 14 16 16 15 nan
nan 7 7 8 8 8 8 8 8 9 8 8 7 7 6 6 6 6 6 7 7 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 12 13 13 12 11 9 8 9 10 11 11 11 11 11 12 12 12 12 12 13 13 14 14 12 9 9 9 11 12 12 10 8 7 5 5 6 9 12 14 14 12 9 8 8 9 9 9 9 8 7 7 7 7 6 5 5 4 3 4 6 7 8 8 9 11 15 18 18 16 14 14 14 14 13 11 10 11 11 11 11 10 9 9 8 8 8 8 8 10 12 12 11 11 12 14 15 13 11 9 8 8 7 5 3 2 1 1 3 5 7 7 6 7 10 12 14 15 14 11 8 8 8 9 9 9 8 6 5 6 7 9 11 10 9 7 6 6 7 7 7 6 7 10 13 16 15 13 9 4 1 1 4 7 9 10 12 14 15 16 14 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 9 11 12 13 13 12 10 8 8 10 12 14 14 13 13 13 13 12 12 12 13 13 13 12 11 9 9 9 11 11 10 7 5 4 4 5 7 10 12 12 11 10 8 6 6 6 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 6 6 7 10 15 18 19 18 16 15 14 15 14 12 11 10 10 10 10 10 9 9 8 8 8 8 8 9 11 12 12 13 14 16 16 13 12 11 10 9 7 6 5 3 2 1 2 4 6 6 6 6 8 11 13 13 13 11 9 9 9 10 11 10 9 7 5 5 6 8 10 12 13 13 12 11 11 11 11 10 11 13 16 18 18 15 11 6 3 3 6 9 11 12 14 15 16 16 14 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 7 8 9 9 10 10 10 10 9 8 9 12 14 15 14 13 13 12 12 12 12 12 12 12 11 10 9 9 9 11 11 9 6 4 3 4 6 10 13 13 11 9 7 7 6 5 5 6 8 9 10 10 9 8 8 9 10 12 12 12 9 6 5 5 6 8 10 13 16 18 17 16 14 13 14 14 13 12 11 10 10 10 10 10 10 10 9 9 8 8 9 12 14 16 16 15 15 13 12 12 12 12 10 8 7 6 5 4 4 4 5 6 5 5 5 6 9 11 12 12 11 10 10 10 11 11 10 9 7 5 4 4 5 8 12 16 17 17 16 15 15 14 13 13 15 17 18 17 16 11 5 3 5 8 11 12 13 14 16 15 14 12 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 6 7 8 8 7 8 10 11 13 13 13 12 12 11 11 12 11 11 11 10 9 9 9 10 12 12 10 7 5 4 4 7 10 12 12 9 7 6 6 6 5 5 7 8 9 9 9 9 9 9 11 12 14 13 10 6 4 5 8 10 12 13 13 13 15 16 16 14 12 12 13 13 12 11 10 10 10 11 11 12 12 11 10 9 8 8 10 12 13 14 13 12 12 13 14 14 13 12 10 9 9 8 7 7 6 5 5 4 3 3 4 6 8 10 11 11 11 11 11 10 10 11 10 9 8 6 4 4 6 10 14 16 17 17 17 16 16 16 16 16 16 14 12 9 5 2 2 6 9 11 12 12 14 15 13 12 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 6 5 5 5 5 6 6 6 5 4 4 4 4 4 4 5 5 5 6 7 7 6 6 6 6 6 7 8 7 7 8 9 10 11 12 12 11 11 11 11 11 11 11 10 9 8 9 11 14 14 12 10 8 7 7 8 9 9 8 6 5 5 6 6 6 6 7 8 8 8 8 8 8 9 11 12 13 11 7 4 6 9 14 18 19 19 15 13 14 16 17 15 12 11 12 13 13 12 11 10 11 12 12 12 12 12 11 10 9 8 8 8 9 11 12 11 12 13 14 14 13 12 11 11 12 11 10 9 7 6 4 3 2 2 2 3 5 7 9 10 10 10 10 10 11 12 13 12 11 10 7 6 6 8 10 13 15 17 17 17 17 18 18 18 15 11 5 1 -2 -0 4 8 11 11 11 11 13 14 13 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 6 6 5 5 6 6 7 7 6 5 4 4 4 4 4 5 5 6 6 7 6 5 5 5 6 7 9 9 8 7 7 8 8 10 11 11 10 11 10 11 11 11 11 10 9 8 9 12 14 15 14 12 10 9 9 9 8 7 5 5 5 6 7 7 8 8 8 8 8 7 7 6 7 8 9 9 9 6 4 6 11 17 23 27 27 23 17 14 14 16 18 18 15 12 12 13 13 13 12 11 11 12 12 13 13 13 11 10 9 9 8 8 9 11 13 13 12 12 11 12 12 12 12 12 13 12 11 10 8 7 5 5 5 5 5 5 6 6 8 9 9 9 9 10 12 13 13 12 11 9 7 6 5 6 9 13 17 19 19 18 18 18 18 16 13 7 1 -3 -2 2 6 9 11 11 11 12 13 14 13 11 10 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 6 6 5 6 6 7 7 7 6 6 5 4 4 4 5 5 6 6 7 7 6 4 2 2 4 6 9 10 9 8 7 7 7 8 8 9 9 11 11 12 12 11 10 9 9 9 10 12 15 17 15 13 11 10 9 9 8 6 5 4 5 6 7 9 9 9 8 8 7 6 5 4 4 5 6 6 4 3 3 8 16 23 28 31 28 21 14 10 11 15 19 20 18 15 14 14 14 13 12 12 11 11 12 13 14 14 13 11 10 10 9 9 10 12 15 16 14 12 10 10 11 12 13 13 13 12 12 12 10 8 7 8 10 12 12 11 9 8 9 10 11 10 10 10 10 10 8 6 5 3 3 1 3 6 11 17 20 22 21 18 16 14 13 11 8 2 -3 -4 -1 4 7 8 9 10 10 11 12 13 13 12 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 6 6 5 5 6 6 7 7 7 7 6 6 5 5 5 5 6 7 7 8 8 6 3 0 -0 1 5 8 10 10 9 8 7 7 7 7 7 8 10 12 13 13 12 10 9 8 9 11 14 16 18 16 13 11 9 8 8 7 6 5 5 5 6 7 8 8 8 9 9 9 8 6 4 3 3 3 4 2 2 3 8 15 22 26 27 23 14 7 5 6 11 17 20 20 18 16 16 15 14 13 12 12 11 11 12 12 13 13 12 11 11 11 10 10 11 13 14 13 12 11 11 11 12 12 12 12 12 13 13 13 10 9 11 13 15 15 13 10 9 10 11 12 12 12 11 9 7 4 3 2 2 2 1 3 8 13 18 21 22 20 15 11 9 7 5 3 -2 -5 -5 -1 3 5 7 8 8 8 8 9 10 12 12 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 6 6 5 5 6 6 7 8 8 8 7 6 6 5 5 6 7 7 8 8 8 7 4 1 -0 0 3 7 10 10 11 10 10 9 8 7 8 8 8 9 10 11 10 9 7 7 8 11 14 17 17 16 12 9 7 5 5 5 6 7 8 8 8 7 7 7 6 7 8 10 10 8 6 5 4 3 3 3 2 4 8 12 16 17 16 13 7 3 2 3 7 12 15 16 16 16 15 14 13 13 13 13 12 12 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 12 13 14 14 14 14 14 14 13 12 12 12 12 10 8 7 8 9 11 12 12 12 11 9 8 6 6 6 7 8 8 8 10 12 15 18 19 16 11 6 4 4 4 3 -0 -2 -1 2 5 7 8 9 9 7 6 6 8 10 12 12 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 5 5 6 6 7 8 8 8 8 7 6 5 5 6 7 7 7 8 8 8 6 4 2 2 2 5 9 11 12 12 12 11 9 9 9 8 8 7 7 8 7 6 5 4 6 8 12 15 17 15 12 7 4 2 2 3 5 7 10 12 11 9 9 8 7 5 5 5 7 9 9 8 7 6 5 4 3 5 7 9 9 8 6 4 2 2 3 4 6 7 9 10 11 12 12 12 11 12 13 14 14 13 12 11 10 10 11 12 12 12 11 10 10 9 9 10 10 10 10 9 11 14 17 19 17 15 14 14 13 13 12 10 8 4 2 4 7 10 12 12 12 11 10 9 8 9 10 12 14 15 15 14 13 13 13 15 16 13 8 4 3 4 5 6 4 3 5 7 10 11 12 11 10 8 6 6 7 9 12 12 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 7 6 5 5 5 6 7 7 8 9 9 9 8 5 3 3 4 7 10 12 13 13 12 11 10 10 9 9 8 7 6 5 3 2 2 3 5 9 13 16 14 10 5 1 -0 1 3 6 8 11 12 12 12 11 11 10 8 6 4 5 9 10 10 9 7 6 5 5 5 6 6 5 3 -0 -0 1 3 5 6 6 7 7 8 9 10 10 11 12 13 13 14 14 13 13 11 10 10 10 11 11 11 11 11 10 10 11 12 12 11 10 8 9 14 19 21 21 18 14 12 10 9 8 7 5 3 1 4 8 12 14 15 14 12 9 6 6 7 10 14 17 19 19 17 16 15 14 15 15 11 7 3 2 4 6 8 8 8 10 11 13 13 13 12 10 9 8 7 8 9 11 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 6 6 6 6 7 8 8 8 8 7 6 5 5 6 6 7 8 8 9 10 11 10 8 6 4 4 6 10 12 14 14 13 12 11 10 10 9 8 7 6 4 3 2 3 4 6 8 12 14 12 9 5 2 3 7 10 12 13 14 14 13 11 10 10 11 11 10 9 9 10 10 9 8 6 6 6 7 6 7 6 5 2 0 1 3 5 7 7 6 6 7 9 10 11 12 13 13 13 13 12 13 13 13 13 11 10 10 10 11 11 11 11 11 12 13 14 15 13 11 8 9 13 18 20 21 18 12 7 4 4 6 8 7 6 5 6 10 13 16 17 16 13 8 5 4 5 7 9 13 16 17 17 15 14 14 14 14 12 8 5 3 4 7 9 11 11 12 12 13 13 12 11 11 10 10 9 9 10 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
20 23 26 31 36 37 34 30 26 24 19 18 20 24 29 29 26 25 27 30 31 29 26 25 28 33 39 43 44 44 42 39 35 33 35 44 50 53 58 65 75 86 96 100 92 94 99 106 110 110 98 75 60 55 56 57 52 48 46 41 40 43 49 57 65 77 92 102 107 122 157 188 184 153 162 192 213 217 208 203 208 217 224 219 228 251 279 311 350 382 386 366 334 298 260 216 173 125 108 106 96 85 78 73 71 74 82 92 100 105 109 109 101 59 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 32 51 65 76 82 73 71 70 68 58 46 36 29 22 15 6 1 1 5 10 15 18 17 19 22 24 24 23 16 9 7 7 8 6 4 3 7 19 34 26 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 21 26 31 31 33 33 30 24 20 17 17 18 25 30 31 30 28 29 35 38 36 32 29 27 27 27 29 33 37 40 39 35 34 37 42 46 49 53 60 69 83 99 111 111 113 109 109 99 85 70 56 47 45 46 47 46 44 42 39 39 46 58 72 87 100 112 119 109 106 129 167 179 165 164 186 193 187 177 173 179 193 206 199 212 239 263 298 340 372 380 358 323 281 239 201 165 128 123 131 122 108 97 90 82 81 83 89 99 114 129 129 101 34 2 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 42 61 73 81 84 73 67 65 59 60 53 40 29 23 26 21 11 4 6 11 16 18 20 17 13 12 14 17 16 12 10 11 10 8 7 7 10 17 25 16 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
22 22 23 28 31 32 33 30 25 20 17 15 16 23 31 34 34 31 27 31 35 36 35 34 31 28 26 26 29 34 38 40 36 35 36 40 44 46 49 54 63 75 92 111 124 128 119 118 108 90 76 69 63 57 54 52 50 46 43 43 49 59 76 92 109 122 129 127 112 90 85 122 155 164 171 185 173 145 132 133 143 160 177 186 201 228 250 290 334 362 365 344 308 265 227 198 170 149 156 177 196 194 176 146 116 98 91 93 106 131 154 150 98 24 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 32 55 71 84 91 83 64 59 52 71 64 48 38 34 29 17 4 1 4 8 11 14 18 15 14 14 15 18 19 16 15 14 12 9 8 10 12 11 10 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
22 20 23 28 33 35 34 29 25 21 17 15 16 20 26 30 30 28 27 27 28 28 30 32 32 31 29 29 30 35 39 40 37 35 35 41 43 44 46 49 55 63 75 94 117 128 128 129 124 107 92 90 89 82 73 66 60 51 49 54 62 73 86 101 116 125 125 122 114 99 88 105 153 174 186 179 145 108 89 93 109 134 161 181 196 220 239 287 330 353 352 329 294 255 224 207 184 177 208 262 305 331 319 251 181 133 109 102 112 133 145 127 74 21 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 1 10 30 54 81 100 97 78 65 57 84 73 57 50 44 29 9 0 0 2 5 8 12 16 15 17 25 25 24 22 20 18 16 14 11 10 10 9 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
15 15 22 26 30 32 31 28 23 22 19 16 17 21 25 28 27 27 28 27 25 24 24 24 27 29 32 36 37 39 41 40 37 36 36 41 43 43 43 45 50 56 63 75 97 114 125 131 131 117 99 105 110 107 96 81 68 54 53 59 64 73 83 92 98 99 101 106 115 121 122 124 166 185 193 156 110 81 70 70 85 112 141 166 187 206 227 287 328 344 336 310 277 245 223 212 192 207 269 331 369 400 408 348 255 179 136 118 113 113 116 114 57 15 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 27 63 95 99 88 80 79 100 91 72 56 42 28 15 5 0 1 4 6 9 15 24 37 47 46 34 26 23 22 19 16 13 11 9 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
14 14 20 22 25 27 26 25 23 21 20 18 18 19 21 25 28 29 30 29 27 25 22 20 21 24 30 36 38 39 41 39 38 36 37 40 42 42 42 44 48 53 58 65 75 89 101 108 110 105 100 109 119 117 107 91 72 55 49 50 56 64 74 80 81 84 89 95 104 114 132 144 153 169 169 115 76 60 58 61 71 92 114 138 163 184 221 288 326 333 319 288 255 230 218 210 200 232 304 347 368 388 401 385 300 216 164 137 121 110 110 133 70 16 3 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 1 8 38 80 89 85 91 104 114 107 82 59 44 33 22 11 4 5 6 7 9 18 35 55 72 60 40 29 26 26 24 20 15 12 7 3 1 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 16 17 19 23 24 23 22 21 20 20 19 17 17 20 25 30 34 35 35 34 30 25 22 20 20 24 27 32 37 39 39 38 36 37 40 41 40 40 42 47 52 56 60 65 68 74 80 78 80 90 106 122 128 121 100 75 55 44 41 47 56 67 72 77 88 97 97 90 90 109 138 154 154 135 76 53 50 52 57 66 80 95 113 135 161 221 288 319 319 307 279 247 223 209 204 205 234 301 337 351 358 368 370 324 246 190 159 136 108 84 79 56 11 5 7 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 3 16 69 87 83 79 94 115 120 95 64 46 38 31 22 11 4 7 12 13 20 38 59 68 60 41 31 29 28 27 24 19 14 10 2 0 0 0 0 0 0 1 3 6 6 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 15 18 20 21 22 22 22 20 20 21 21 20 20 24 32 39 46 49 46 43 39 34 29 25 22 22 23 27 32 35 37 36 35 38 43 42 40 39 40 44 50 58 64 67 65 61 59 58 65 78 98 121 137 131 102 73 51 39 36 43 54 65 68 69 80 93 96 91 94 107 132 149 148 118 68 53 52 50 53 62 72 84 98 116 148 230 292 311 305 295 272 244 225 208 192 190 216 269 323 343 345 351 359 339 284 223 186 151 108 64 34 18 6 5 7 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 1 11 54 88 95 92 106 129 135 113 80 60 51 45 36 23 11 10 14 14 21 29 38 42 36 29 29 30 28 26 23 19 15 9 1 0 0 0 0 0 1 3 6 8 9 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 16 17 17 19 21 21 22 21 22 23 24 23 21 27 44 48 52 52 45 42 42 39 34 30 26 22 20 22 25 28 30 31 33 39 46 45 42 39 39 40 45 53 64 71 69 63 58 59 60 68 83 103 119 116 92 63 45 37 36 45 56 61 60 60 79 96 103 107 117 127 132 131 134 103 69 62 55 47 50 58 68 78 95 124 163 256 299 302 285 261 236 211 206 204 188 182 202 249 310 344 352 352 362 360 329 277 224 160 86 42 16 5 5 4 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 7 32 67 88 114 142 157 150 121 88 69 67 63 48 31 20 16 15 17 25 30 32 30 27 27 29 29 26 22 17 11 6 2 0 0 0 0 0 0 1 4 7 8 9 11 9 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
14 15 16 17 20 20 20 21 22 23 25 27 26 24 31 45 45 44 39 35 32 30 30 29 31 28 25 22 21 22 23 24 25 30 38 45 45 44 41 39 38 40 45 53 62 64 63 58 54 57 62 69 79 88 87 75 58 44 39 39 52 59 59 55 57 82 102 110 117 126 130 128 123 117 82 63 52 42 44 51 58 68 83 108 146 196 261 274 263 234 202 181 174 185 204 197 193 213 257 308 342 349 347 363 380 370 330 270 188 85 34 11 4 4 6 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 3 14 32 51 75 125 163 158 121 84 69 67 57 44 33 24 18 17 21 28 31 35 36 33 32 34 35 23 12 6 2 0 0 0 0 0 0 0 0 0 2 4 6 7 10 11 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0
13 13 14 15 16 17 19 22 23 24 24 28 30 28 33 39 39 40 39 36 30 25 22 24 28 31 31 31 28 25 23 22 23 28 36 41 42 42 43 41 40 39 40 43 48 52 54 55 54 54 55 55 58 67 70 66 57 47 41 42 56 61 58 55 64 87 103 106 107 106 107 106 102 95 61 54 45 38 43 53 61 74 95 125 162 196 215 206 194 177 152 143 154 178 199 205 210 235 280 320 341 343 337 363 392 385 347 283 190 73 17 6 4 6 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 1 4 8 11 15 23 40 96 160 174 141 98 75 67 56 44 36 29 23 22 27 31 29 33 34 33 36 44 42 17 4 1 0 0 0 0 0 0 1 1 2 1 0 0 1 4 6 8 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0
11 12 13 13 14 15 18 21 22 23 23 25 28 34 35 36 39 43 45 40 34 30 27 25 26 28 32 35 37 34 29 25 24 28 37 40 41 42 43 44 44 43 41 40 42 42 41 45 47 50 50 47 49 55 62 65 58 47 39 41 54 61 56 53 66 87 100 100 97 87 77 80 82 70 49 43 36 41 48 57 68 84 104 132 156 166 161 148 139 139 124 131 153 177 196 209 224 255 302 335 350 353 360 398 418 391 343 275 185 92 35 11 11 11 7 3 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 10 21 26 25 24 25 35 78 151 178 155 120 92 72 60 63 56 45 34 30 34 37 38 36 35 36 41 44 35 10 4 3 3 2 1 0 0 0 2 2 1 1 1 2 3 2 4 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
11 12 12 13 13 14 17 19 20 23 25 25 26 28 33 37 41 41 39 36 33 30 27 25 24 24 26 29 31 32 32 31 32 36 40 41 43 44 45 47 48 49 46 46 44 41 40 41 43 48 48 46 46 50 57 63 57 43 34 37 49 57 53 50 63 84 96 94 87 78 70 76 71 58 50 52 42 47 53 62 75 91 107 122 131 126 121 116 110 107 108 128 157 183 204 219 240 280 321 349 350 355 378 414 429 393 328 260 185 114 60 34 36 21 9 3 1 0 0 0 5 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 27 47 50 57 56 50 44 39 42 69 124 153 139 121 102 84 73 72 66 49 38 38 44 50 53 51 47 51 46 34 19 8 8 10 12 9 4 1 0 0 0 1 0 1 5 7 8 4 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 12 13 13 14 16 18 19 22 24 25 26 26 27 31 37 43 37 35 35 32 28 25 22 21 20 20 20 21 23 24 26 30 35 39 41 43 43 45 49 53 53 51 51 47 42 41 42 44 47 47 45 43 44 48 53 51 39 31 33 43 51 51 48 58 75 85 86 82 76 72 71 64 51 50 53 49 52 57 67 80 91 97 100 103 97 98 104 104 98 101 126 154 185 211 225 244 279 315 346 336 350 356 352 333 281 210 150 104 68 50 47 46 24 9 2 0 0 0 1 4 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 6 24 56 77 80 90 98 91 71 51 47 63 98 127 117 100 78 63 55 52 49 47 42 49 55 60 64 64 61 61 48 28 14 10 12 17 22 16 7 2 0 0 0 0 1 4 8 9 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 12 15 18 19 20 18 18 19 22 23 25 26 27 29 34 37 35 34 34 31 26 21 18 17 18 18 18 17 16 17 19 23 28 34 38 41 44 46 50 55 55 52 49 43 37 39 42 43 43 44 42 39 36 36 39 42 37 28 28 37 45 46 45 51 67 79 82 82 80 77 71 57 48 47 49 53 58 64 72 80 85 86 86 86 84 92 103 105 98 104 127 149 176 208 221 231 252 281 307 316 326 281 227 168 106 53 23 15 8 16 22 22 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 34 49 68 100 133 138 110 77 60 66 91 116 122 117 102 80 61 47 40 44 53 67 69 66 64 63 63 71 56 34 20 16 18 23 28 23 14 10 8 5 3 2 2 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 12 16 18 19 18 16 15 16 19 21 23 24 25 28 31 33 34 34 34 29 24 20 18 17 17 17 16 15 15 15 16 18 22 27 32 38 42 45 46 53 54 52 47 39 33 34 40 44 43 40 37 33 28 26 30 34 33 27 25 33 42 44 43 49 63 76 79 79 79 74 66 55 51 51 49 53 58 62 69 76 80 82 82 83 88 100 114 116 112 121 134 147 167 198 217 232 249 268 286 296 278 206 139 87 42 12 4 1 0 1 4 4 2 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 13 32 69 117 159 172 157 127 105 105 120 139 156 172 173 134 93 68 59 59 72 80 76 66 56 52 57 68 60 43 29 22 22 25 29 25 19 18 19 16 9 2 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 11 15 17 16 14 14 14 14 15 18 21 23 25 27 31 34 37 36 33 29 25 22 19 19 19 19 18 18 18 19 19 20 21 23 26 31 36 40 43 49 52 53 48 41 35 33 37 41 44 39 34 30 26 25 27 30 29 27 28 34 40 43 43 46 56 69 75 76 80 77 68 58 54 51 44 44 48 53 59 66 73 81 86 88 98 112 121 122 119 125 134 145 161 184 207 235 259 278 281 273 249 199 161 129 88 44 14 2 0 0 0 0 1 0 0 0 0 0 4 7 7 4 0 0 0 0 0 0 0 0 0 0 0 2 7 13 15 13 22 60 116 170 204 210 204 197 175 157 162 176 193 211 206 162 118 86 69 70 83 82 72 60 46 40 42 50 60 47 35 26 23 24 26 24 21 21 23 23 19 13 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 9 13 16 17 15 13 13 12 14 16 18 20 22 25 28 30 32 31 29 27 26 24 21 21 23 24 24 24 23 24 25 24 22 22 22 24 28 32 37 42 47 52 47 44 40 38 38 39 41 37 33 30 29 29 28 27 26 27 29 33 37 43 43 41 46 58 67 70 73 74 65 58 55 51 43 40 42 44 49 55 65 79 90 91 108 122 124 116 108 116 128 139 154 171 194 223 245 253 214 182 159 152 171 150 113 69 28 5 0 0 0 0 0 0 0 0 1 7 23 27 15 6 2 0 0 0 0 1 1 0 0 0 0 2 11 23 26 22 41 103 187 222 241 240 227 230 240 220 212 210 212 212 195 156 113 84 73 73 75 76 77 68 48 40 40 44 49 42 35 31 26 23 22 22 22 23 25 24 20 18 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 7 10 14 17 18 15 13 12 14 14 14 15 17 20 23 26 27 27 26 24 25 25 23 26 29 27 26 26 27 28 31 32 29 24 22 21 22 24 28 33 41 48 46 46 46 45 45 43 40 38 33 33 34 34 31 27 26 28 29 31 33 38 44 42 40 49 58 62 66 72 67 59 54 51 47 45 42 46 48 50 57 67 79 91 109 123 115 101 96 102 114 121 127 137 148 154 155 150 84 50 34 35 52 56 50 42 19 4 0 0 0 0 0 0 0 0 8 26 45 38 15 11 11 5 0 0 0 1 1 1 0 0 1 5 14 28 31 32 65 152 265 281 289 284 271 263 264 255 249 247 236 213 185 155 120 94 79 70 71 78 84 76 60 56 53 50 43 37 34 35 27 22 19 18 19 21 21 19 14 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 6 9 11 14 16 17 15 14 13 13 13 13 14 16 19 21 21 22 22 20 20 18 19 25 32 32 30 30 29 27 27 28 28 25 22 20 20 22 25 28 36 44 45 46 47 48 50 51 50 47 40 39 39 37 34 30 28 29 26 25 28 35 43 43 39 43 50 54 58 63 63 56 51 48 47 48 48 45 46 48 53 58 63 70 85 96 84 71 69 74 76 74 66 61 56 48 43 35 7 2 0 2 5 7 6 7 2 0 1 3 14 28 19 6 1 2 10 21 26 16 9 16 14 6 0 0 0 1 1 0 0 1 4 10 17 34 38 42 76 164 293 326 327 314 300 292 291 281 263 268 241 222 207 181 134 85 68 69 75 80 79 72 68 71 65 59 52 47 45 41 32 24 16 12 11 11 8 4 3 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 7 8 9 10 12 14 16 15 13 13 13 13 13 14 16 17 16 17 17 17 18 19 20 23 25 26 27 28 28 24 21 21 25 25 22 20 22 24 24 27 33 39 42 44 45 47 50 57 62 59 50 44 43 43 39 35 33 31 27 23 26 32 40 43 38 34 41 48 52 59 63 58 48 44 45 47 47 44 42 42 46 52 51 50 55 53 46 37 33 31 28 23 14 4 1 1 3 2 0 0 0 0 0 0 0 0 0 0 6 36 86 105 64 18 3 1 1 4 5 3 7 11 4 1 0 0 0 0 0 0 0 1 6 13 23 38 44 36 52 119 225 295 312 296 283 282 283 271 243 199 196 245 236 190 134 81 52 56 65 67 63 59 64 71 67 68 65 62 58 50 38 27 15 6 3 2 1 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 9 8 7 8 10 12 15 16 16 16 16 17 19 20 19 17 15 16 16 16 17 20 22 23 23 24 27 30 28 23 21 22 26 28 24 21 22 24 25 28 31 35 41 43 44 44 46 51 59 59 54 48 47 49 49 44 39 35 29 25 25 29 36 40 39 35 37 43 46 50 53 51 42 37 38 40 44 43 38 34 33 34 30 27 24 20 16 10 9 7 5 2 1 0 0 0 0 0 0 0 1 7 32 44 34 15 2 1 15 106 165 148 82 26 4 0 0 0 1 2 5 6 1 0 0 0 0 0 0 0 0 0 3 10 18 25 30 24 34 75 147 222 261 250 235 239 231 199 154 124 138 222 222 184 135 85 50 46 51 49 47 49 57 68 68 70 64 61 57 50 40 27 13 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
10 11 10 8 7 9 11 15 20 21 20 22 24 29 29 26 21 17 18 19 19 20 22 22 22 23 25 29 31 28 24 22 23 26 28 26 24 25 26 27 28 28 28 32 38 42 44 46 50 55 56 54 52 55 60 62 55 47 40 33 28 27 29 33 37 37 35 35 39 44 46 45 40 32 27 26 28 32 31 26 21 17 13 7 7 5 3 2 1 3 2 0 0 0 0 0 0 0 0 0 0 3 18 65 91 76 39 9 2 19 94 131 108 59 19 3 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 3 7 10 9 20 37 75 135 197 228 213 181 175 164 132 105 107 120 186 192 160 118 77 45 27 29 33 38 40 48 59 58 57 52 48 46 42 34 23 10 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
9 10 10 9 9 9 9 12 17 20 22 24 26 31 30 28 25 21 20 23 24 24 24 24 22 23 24 24 25 24 23 22 20 22 25 26 28 29 28 28 29 28 27 26 29 35 39 44 48 51 52 51 54 60 66 66 60 52 47 40 34 29 29 31 33 35 35 34 36 42 46 44 38 29 20 16 17 17 16 14 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20 36 44 32 11 0 3 12 32 29 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 3 5 22 38 87 162 216 224 191 146 121 114 96 86 94 119 161 167 125 79 46 27 18 18 25 26 28 33 37 36 34 31 30 32 31 28 20 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 8 9 10 10 9 8 9 13 18 20 22 25 27 25 26 27 26 25 25 26 26 22 19 19 20 22 24 23 22 21 20 19 19 21 24 28 31 31 28 28 29 29 28 28 31 33 35 37 40 42 43 51 55 56 56 55 52 50 45 37 31 28 29 30 31 32 33 34 38 43 46 43 37 26 21 20 14 11 7 4 1 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11 10 10 11 4 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 1 0 0 0 0 0 0 0 9 26 39 99 195 244 231 181 130 97 92 89 101 107 120 145 140 90 42 17 7 8 14 22 20 17 19 20 17 15 13 14 19 22 20 13 5 0 0 0 0 0 0 0 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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