Vorticity
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nan 6 6 7 8 11 11 9 5 5 5 6 7 7 7 6 7 8 9 9 9 9 10 10 8 7 7 7 8 8 8 8 7 7 7 8 8 8 7 6 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 6 7 9 9 7 5 4 4 5 6 7 7 6 6 7 8 9 8 9 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 9 8 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 6 6 5 5 5 5 6 7 8 8 9 8 8 8 7 7 7 6 6 6 6 7 5 4 3 3 3 3 2 2 3 4 5 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 8 8 6 3 3 4 5 6 7 7 7 7 7 8 8 8 8 9 10 9 9 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 10 10 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 7 6 6 5 5 5 4 5 6 7 8 9 9 8 8 7 7 7 7 6 6 6 7 7 6 5 4 4 3 2 1 -0 -0 1 3 6 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 nan
nan 9 9 8 8 8 8 6 3 3 4 6 7 7 8 8 7 7 7 7 7 8 8 10 10 10 8 6 6 6 7 8 8 8 7 7 7 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 7 8 9 9 8 7 7 7 7 7 6 6 7 8 8 6 6 5 5 4 2 2 1 1 1 2 5 7 8 8 8 8 8 8 8 7 7 6 6 6 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 nan
nan 10 10 10 9 9 10 7 4 4 5 7 7 7 8 8 7 6 5 6 7 8 8 9 11 11 9 7 5 5 5 7 8 8 8 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 7 7 7 7 7 6 6 7 8 8 8 7 6 6 5 4 4 4 4 4 4 3 4 5 6 7 8 8 8 8 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 11 12 12 11 10 8 6 6 7 8 8 7 8 9 7 6 5 5 7 9 8 9 10 11 9 7 6 6 5 6 7 8 7 7 7 8 9 10 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 6 6 6 7 7 6 6 6 7 7 7 7 6 6 6 7 6 6 6 7 8 9 8 8 7 7 6 6 6 6 7 8 9 8 8 7 7 6 6 6 6 7 7 6 4 3 3 4 5 6 7 7 7 7 7 6 6 6 5 5 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 10 12 13 13 10 9 8 7 7 9 10 9 8 8 9 7 6 5 6 8 9 8 8 9 9 9 8 7 8 7 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 5 5 6 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 7 6 5 5 7 8 9 8 8 8 7 7 7 6 7 7 8 8 7 5 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 11 12 13 11 8 7 8 8 8 9 11 11 9 8 9 9 8 7 7 8 8 8 7 8 9 9 8 8 9 9 7 6 4 4 5 7 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 6 5 5 5 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 6 7 9 9 8 8 7 7 7 7 6 7 7 8 8 7 6 5 4 4 3 3 3 4 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 nan
nan 10 10 10 8 6 6 7 7 6 8 11 12 10 9 10 11 11 10 9 7 7 7 7 8 8 9 9 8 10 10 9 7 4 3 4 6 7 8 9 10 9 8 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 7 6 5 4 5 6 7 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 7 7 8 8 7 7 7 6 5 5 4 3 4 4 5 6 6 6 6 7 7 8 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 nan
nan 7 8 8 7 6 7 8 7 5 6 10 11 10 10 11 13 12 11 9 7 7 7 7 8 8 9 9 8 9 10 10 9 6 4 5 6 7 8 9 9 9 7 6 5 5 6 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 7 6 5 4 5 6 7 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 8 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 nan
nan 5 6 6 7 7 8 9 8 6 6 8 11 11 11 12 12 12 11 9 8 8 7 8 8 8 9 8 7 7 8 10 9 8 6 7 8 8 9 8 9 8 7 6 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 7 5 4 6 7 8 8 7 8 7 7 7 7 8 8 7 6 5 5 7 8 9 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 5 4 5 7 8 9 10 9 7 6 8 10 12 13 13 12 11 9 9 9 8 8 7 7 8 7 6 5 6 7 8 8 8 8 8 9 9 9 9 9 8 6 5 5 5 6 7 8 8 7 7 7 8 8 7 7 7 7 8 9 10 11 11 9 7 5 6 7 8 8 8 8 8 7 6 8 9 9 8 6 5 5 6 8 9 9 9 8 8 7 7 6 6 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 7 nan
nan 5 4 5 7 9 9 10 9 8 6 6 8 11 13 14 13 11 9 8 8 8 8 7 7 7 6 4 4 5 5 6 7 8 8 8 9 10 9 10 10 8 5 3 4 5 7 8 8 8 7 6 7 8 8 8 7 7 7 8 9 10 12 12 11 9 7 6 7 8 8 8 9 8 7 7 8 10 10 8 6 5 5 6 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 5 6 7 8 8 9 10 9 6 4 5 7 10 11 12 11 9 8 8 8 8 8 8 7 5 4 4 4 4 5 6 7 7 8 9 9 9 10 10 8 5 3 4 6 7 8 8 7 7 6 6 7 8 8 7 7 7 8 10 11 12 13 12 11 10 8 7 7 7 8 8 8 8 8 9 9 10 9 8 6 6 6 7 8 8 7 7 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 nan
nan 7 7 6 7 7 8 9 11 10 7 3 2 4 5 7 9 11 10 8 7 8 9 10 10 8 6 5 5 4 4 4 5 5 6 7 8 8 9 10 10 9 7 5 5 6 6 7 6 6 6 6 6 7 7 7 7 7 8 9 11 13 13 13 12 12 12 10 8 7 6 6 7 8 8 9 9 9 10 11 10 8 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 7 7 8 nan
nan 8 7 6 6 7 8 10 11 10 7 3 2 2 3 5 8 11 10 8 7 8 9 11 11 10 8 7 6 6 6 5 4 3 4 6 7 7 8 9 10 10 9 7 6 5 5 5 4 4 5 6 7 7 8 7 7 7 8 10 13 14 14 13 12 12 12 12 11 9 8 7 6 6 7 9 10 10 10 11 10 8 6 6 6 7 7 7 7 8 8 8 8 7 7 7 6 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 6 6 6 7 7 8 8 nan
nan 7 6 5 6 8 9 11 11 10 8 4 2 1 2 5 8 10 9 8 7 7 8 10 12 11 10 8 6 7 8 6 3 1 3 5 6 7 8 8 9 10 10 9 6 3 3 3 2 3 4 5 6 7 7 7 7 6 7 10 13 14 14 12 11 11 12 12 12 12 11 9 7 6 6 8 10 10 10 10 9 7 6 5 6 7 8 8 8 8 8 9 8 8 7 6 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 4 4 4 4 5 6 6 7 7 8 8 8 nan
nan 7 6 6 7 8 9 10 12 12 10 6 3 2 3 5 8 9 10 9 8 6 6 8 11 12 10 8 7 8 10 8 3 1 1 4 7 8 7 7 9 11 12 11 7 3 2 2 2 2 2 4 5 5 5 5 6 7 8 11 13 13 12 11 10 10 11 11 12 13 12 11 9 7 7 9 10 11 10 8 6 6 6 6 6 7 9 9 8 7 7 8 8 8 7 6 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 3 3 3 4 5 6 7 7 8 8 8 8 nan
nan 7 7 7 7 7 8 9 11 11 11 8 6 5 6 7 8 9 11 11 10 7 5 7 10 11 11 9 7 9 12 11 6 1 0 3 6 8 7 7 8 10 13 12 9 5 4 3 2 1 1 3 3 3 3 4 6 8 10 12 12 11 9 8 9 10 10 10 11 12 12 12 10 8 7 9 11 12 10 7 6 6 6 6 6 7 8 8 7 6 6 7 8 8 7 6 6 5 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 6 4 3 2 2 4 5 6 7 7 8 8 8 8 nan
nan 7 7 8 7 7 7 8 9 9 8 8 8 8 8 8 8 10 12 12 11 9 7 6 8 10 10 8 7 9 12 13 10 5 2 2 4 5 6 6 8 10 12 12 11 9 8 7 5 3 2 3 4 4 5 5 7 10 13 13 12 9 6 6 7 8 9 9 10 11 12 12 11 9 9 9 11 11 10 8 7 8 7 6 5 6 7 6 5 5 6 7 7 8 8 7 6 6 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 3 1 1 3 4 6 6 7 7 8 8 8 8 nan
nan 8 8 8 8 7 7 7 7 6 5 6 8 9 10 9 9 10 12 12 11 10 8 7 7 8 8 7 6 7 11 13 13 10 8 5 4 3 4 6 7 8 10 11 11 10 10 11 9 6 4 4 4 5 6 7 9 11 13 12 10 7 5 5 6 6 7 8 9 10 11 11 11 11 10 11 11 10 9 9 9 10 8 6 5 6 6 5 5 5 5 6 7 8 8 7 7 7 6 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 4 2 0 1 3 5 6 6 7 7 7 8 8 8 nan
nan 8 8 8 8 8 7 7 6 5 4 4 6 9 11 12 11 11 12 11 9 9 9 9 8 7 7 7 7 7 9 10 12 12 12 9 5 4 5 6 6 7 8 10 10 10 11 12 11 8 5 4 4 4 5 7 8 10 10 9 8 5 4 5 5 5 6 7 8 9 10 10 11 11 12 12 11 9 8 8 10 11 9 7 6 7 7 7 6 5 4 5 6 7 7 7 7 7 7 6 5 6 6 7 7 8 8 8 8 8 8 8 8 8 7 6 5 5 4 4 4 2 2 3 4 5 6 6 6 7 7 8 8 8 nan
nan 7 7 8 8 8 7 6 6 5 4 4 6 8 10 12 12 12 11 8 6 6 9 10 9 8 7 8 8 8 7 7 9 11 13 11 6 4 6 6 6 7 8 9 9 10 10 11 11 10 7 6 5 4 4 6 7 8 8 7 5 3 3 4 4 5 5 5 6 7 9 10 11 11 12 13 11 9 7 7 9 10 9 8 8 8 8 8 7 6 5 5 5 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 8 8 8 nan
nan 7 7 7 7 7 7 6 5 4 4 5 6 7 8 10 11 12 10 6 3 4 8 9 9 9 9 9 10 9 7 6 7 10 13 11 6 4 5 6 7 7 8 8 8 9 10 11 11 11 10 8 7 6 6 7 8 9 8 7 5 3 2 3 4 5 5 5 5 6 8 9 10 10 12 12 11 9 8 7 8 9 9 9 9 9 10 9 8 7 7 7 6 5 6 6 7 7 7 6 6 6 7 7 8 8 9 8 8 8 8 8 7 6 5 5 4 4 4 5 5 4 4 4 5 5 6 6 6 7 7 8 8 8 nan
nan 8 8 7 7 7 6 5 4 3 3 4 5 5 6 8 10 11 10 6 3 4 5 7 8 8 8 9 9 8 7 6 6 8 12 12 8 5 4 4 6 7 7 7 7 8 9 10 11 11 10 10 9 8 8 9 11 11 11 10 8 6 5 5 5 6 6 6 5 5 6 7 8 9 11 11 11 10 8 8 8 8 9 9 9 10 10 10 9 8 9 9 7 6 5 6 6 6 6 6 6 6 6 7 8 8 9 8 8 8 8 8 7 7 6 5 5 5 5 5 5 4 4 4 5 5 5 6 6 7 7 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
108 112 130 173 245 259 275 249 219 185 164 148 130 114 101 95 94 85 89 88 71 66 65 67 89 146 204 181 106 59 48 43 29 18 9 4 7 15 25 37 56 59 32 21 23 30 28 20 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 22 39 64 106 160 194 234 263 285 314 312 275 244 221 202 192 181 192 248 258 250 264 269 257 249 246 253 276 311 336 314 259 222 237 221 208 217 224 223 226 231 259 331 463 578 685 765 805 809 782 705 599 501 381 266 152 86 67 79 128 192 240 242
158 183 216 272 321 270 262 222 172 124 86 69 66 60 48 48 46 50 53 62 49 41 46 51 68 115 151 112 63 46 43 34 18 8 2 2 8 15 26 46 73 64 35 25 25 28 24 15 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 24 32 43 54 68 82 101 115 118 129 131 120 110 104 114 121 130 142 170 154 139 148 161 156 146 151 153 160 170 163 157 155 140 136 151 164 167 150 123 104 113 138 179 257 346 446 593 754 686 739 800 780 770 769 718 549 346 258 233 284 419 598 551
207 248 293 312 284 238 214 160 105 64 41 33 35 34 32 44 40 41 62 92 124 183 215 192 167 165 147 82 52 40 31 18 6 1 0 2 7 20 41 69 82 67 42 28 25 24 18 11 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 19 29 38 43 45 49 54 57 56 58 63 75 86 86 79 68 63 61 65 64 66 84 108 119 115 114 108 114 109 100 103 115 128 127 119 115 110 109 115 129 126 123 130 145 177 235 342 546 597 632 686 739 802 934 1075 1097 971 820 665 601 715 966 1011
216 258 299 264 236 216 161 97 59 44 36 33 34 33 33 40 41 56 96 178 351 461 406 265 171 126 114 69 49 33 17 5 1 0 0 1 7 23 44 66 72 66 49 31 22 18 14 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 29 34 34 37 40 40 40 42 44 47 49 46 41 35 29 26 28 32 35 42 57 50 39 45 51 57 56 57 60 60 59 62 73 78 87 99 100 97 98 103 112 122 131 145 180 265 353 426 501 585 653 719 807 940 1085 1196 1160 1026 1035 1123 1161
195 203 236 246 226 191 113 52 35 37 36 35 39 41 38 36 45 73 112 149 194 223 203 157 126 97 79 60 42 24 7 1 0 0 0 0 5 20 37 51 64 70 54 31 18 14 10 6 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 15 21 23 24 25 27 28 28 28 24 24 23 20 20 19 18 16 16 16 12 7 13 9 9 15 15 22 25 25 29 31 36 45 52 59 69 70 68 66 69 79 87 92 100 111 124 139 153 202 300 397 457 508 565 578 599 806 1026 1056 1050 1045 1029
176 197 225 237 208 153 86 43 33 39 43 43 52 62 53 45 57 71 101 115 118 127 123 106 92 78 60 43 28 14 4 0 0 0 0 0 3 9 20 37 62 76 53 25 15 12 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 6 14 17 16 15 16 18 21 20 18 16 17 17 17 16 13 10 7 5 5 4 2 1 0 1 2 1 4 7 8 11 11 17 25 33 38 42 47 53 59 65 72 71 72 81 92 100 104 106 122 156 197 255 352 447 375 393 466 558 640 676 648 581
123 138 145 153 142 108 71 54 61 78 89 89 94 94 80 61 60 53 75 97 98 91 76 66 59 46 31 22 15 6 1 0 0 0 0 0 1 4 7 16 58 78 54 22 12 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 2 7 9 8 7 8 11 13 13 12 12 12 12 10 8 5 3 2 3 2 2 0 0 0 0 0 0 0 1 3 6 6 9 11 19 26 32 38 44 48 49 57 62 66 70 75 76 79 83 84 88 99 132 207 273 279 285 296 304 316 340 351 351
73 70 69 66 63 58 62 88 126 151 150 143 130 104 87 81 59 46 55 65 62 50 35 27 28 19 12 8 5 1 0 0 0 0 0 1 2 3 5 10 45 61 42 20 10 6 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 1 1 2 2 3 6 5 7 6 4 6 7 7 4 1 1 2 2 1 0 0 0 0 0 0 0 0 0 1 1 6 10 11 14 19 24 30 35 44 55 58 59 58 55 53 53 53 52 54 56 63 75 101 135 159 172 177 172 161 166 185 212
98 110 108 81 44 30 62 138 211 223 177 165 148 116 116 111 77 47 38 40 32 13 0 1 6 3 1 0 0 0 0 0 0 0 1 2 3 4 5 8 17 24 22 14 7 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 1 2 1 0 1 4 4 4 3 1 4 5 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 9 11 13 17 27 33 37 39 38 34 32 33 36 41 48 49 51 52 57 68 75 84 97 101 98 88 99 99
268 321 318 230 109 47 84 186 267 261 198 197 193 179 168 135 94 62 42 26 10 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 8 15 19 17 14 10 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 1 1 0 0 0 0 1 3 3 2 3 3 3 3 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 5 7 11 14 15 14 14 15 18 21 25 34 38 40 42 41 41 43 48 58 73 73 54 53 51
404 501 590 457 231 112 137 216 273 282 257 257 237 204 167 120 77 47 25 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 13 26 28 16 11 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 1 1 1 1 1 1 2 1 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 3 4 5 7 11 12 11 15 20 23 26 26 26 24 24 32 43 37 28 26 27
373 475 676 587 356 222 219 260 298 320 312 290 242 181 127 81 47 25 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 13 20 20 15 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 1 2 2 2 0 0 1 3 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 2 2 2 3 3 4 4 4 4 5 7 8 8 9 11 13 15 16 16 21 20 23 19 15 14 14
277 334 488 507 420 340 319 340 353 336 297 243 172 118 77 46 25 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 7 12 17 16 12 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 1 2 2 2 2 1 1 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 3 2 2 3 3 3 4 4 4 4 4 5 6 7 7 8 9 10 11 10 9 10 11 11 10 10 9 9
207 239 302 362 384 369 354 351 328 277 218 158 103 67 41 23 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 8 13 16 15 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 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 3 2 2 3 3 3 4 3 4 4 4 4 4 5 6 7 8 9 9 9 10 9 8 8 8 8 9 9 9
163 183 217 251 279 289 271 251 223 176 130 89 56 34 18 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 10 16 19 17 12 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 1 1 1 2 2 2 2 2 2 2 3 3 3 3 4 4 4 5 6 7 7 8 8 8 8 8 8 9 9 8 8 9 9
136 142 156 168 182 189 171 148 128 99 71 48 29 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 11 26 41 41 25 13 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 1 1 1 1 1 1 2 2 2 2 2 2 2 3 4 4 3 4 6 6 6 6 6 7 7 7 8 8 9 8 7 9 9
106 108 128 142 141 129 116 92 73 55 38 22 9 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 11 13 29 57 73 54 18 8 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 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 4 3 3 3 4 5 5 4 4 5 6 7 7 8 9 8 8 8 8
94 113 150 163 140 111 101 76 43 28 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 22 40 64 78 64 39 16 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 1 0 0 0 0 1 1 1 1 0 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 2 2 3 3 3 3 2 3 5 5 6 7 7 8 8 8 7
95 102 115 124 118 105 97 71 25 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 16 41 78 98 76 43 18 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 1 0 1 0 1 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 3 2 2 2 2 2 2 2 2 3 4 5 6 6 7 8 8 7
64 44 51 73 79 89 85 61 22 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 16 38 65 78 44 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 3 3 2 2 2 2 1 2 1 1 1 2 2 3 4 5 5 6 7 7 7 5
27 17 31 44 43 58 68 54 34 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 16 33 46 36 14 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 1 2 2 2 2 2 1 1 1 1 1 1 1 2 3 4 3 3 3 2 2 2 1 1 1 2 2 3 4 5 5 5 6 6 6 4
9 1 3 7 21 32 51 50 44 26 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 9 11 14 20 23 15 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 1 1 1 1 2 3 3 3 3 3 3 2 1 1 1 1 2 2 3 3 4 4 4 5 6 7 6 4
10 2 1 2 10 24 39 41 29 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 19 17 14 11 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 1 0 1 2 2 3 3 3 3 2 1 1 1 1 2 2 2 2 2 2 3 4 5 6 7 7 6
9 6 2 0 3 12 22 29 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 13 18 12 5 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 2 2 2 2 3 3 3 3 2 1 2 2 2 2 2 2 2 2 2 3 5 6 7 7 7
3 4 2 0 0 2 6 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 4 3 2 1 1 2 2 2 2 2 2 3 2 3 4 5 7 7 7
0 1 0 0 0 0 10 16 11 8 12 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 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 3 3 4 5 5 5 3 1 1 2 2 2 2 2 3 3 3 3 3 5 6 7 8
0 0 0 0 0 0 11 14 18 33 40 25 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 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 2 2 2 1 2 1 1 2 2 2 3 4 5 6 6 4 3 2 2 2 2 2 2 2 2 2 2 2 3 5 6 7 8
0 0 0 0 0 0 3 3 5 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 3 2 2 1 2 1 1 1 1 1 0 0 1 1 1 1 1 1 2 2 1 1 2 2 2 2 2 3 4 5 6 6 5 4 3 3 3 3 2 2 2 3 2 2 2 3 4 5 6 8
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 7 7 6 6 6 5 4 3 3 2 2 2 2 2 2 2 2 2 1 1 1 2 3 4 4 5 6 6 5 5 5 6 6 5 5 6 6 5 4 4 3 4 5 4 4 3 3 3 3 4 5
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