Vorticity
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nan 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 7 10 13 14 13 11 8 8 10 12 13 11 9 6 4 4 4 5 5 6 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 9 11 12 13 14 14 14 13 11 10 10 10 11 11 10 10 10 9 9 nan
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nan 7 7 8 9 9 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 6 6 6 6 7 7 7 8 8 8 9 8 8 8 7 7 8 9 13 13 11 9 8 8 7 7 6 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 8 9 9 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 8 8 8 7 7 7 8 9 10 9 8 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 10 10 10 9 9 7 5 4 6 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 8 9 9 9 9 8 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 8 8 8 8 9 9 8 8 7 7 8 9 10 10 9 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 7 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 5 2 3 5 7 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 9 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 4 3 4 6 10 11 10 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 8 8 7 6 6 7 7 7 7 7 8 7 7 7 8 8 8 8 9 9 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 8 9 9 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 6 5 5 6 8 12 14 12 9 7 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 7 6 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 6 6 5 6 7 9 12 14 13 11 9 7 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 10 10 10 8 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 5 6 7 8 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 8 7 7 8 8 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 9 10 9 8 8 8 7 6 5 5 6 7 8 10 11 12 12 11 10 8 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 6 7 7 nan
nan 9 10 10 9 8 7 6 6 6 6 6 7 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 7 8 8 8 7 6 5 5 6 8 8 9 9 10 10 9 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 9 10 10 9 8 8 8 7 6 6 6 6 7 8 8 8 10 12 13 13 11 8 6 5 5 5 4 4 5 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 8 8 7 6 6 7 8 8 8 7 6 6 5 5 6 7 8 9 10 10 9 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 9 10 9 9 8 8 8 8 7 6 6 7 8 8 8 8 8 10 12 13 14 12 9 7 6 5 5 5 5 6 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 7 7 6 5 5 6 7 7 8 9 10 9 7 6 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 8 7 7 6 6 7 8 8 8 8 8 9 10 11 13 13 12 10 8 6 6 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 7 7 7 6 6 6 7 8 9 9 8 7 6 5 6 6 6 6 6 6 6 5 5 6 7 7 8 9 9 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 9 9 9 9 10 12 13 12 10 8 8 9 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 8 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 6 6 6 7 7 7 7 6 6 6 5 5 5 5 6 7 8 9 9 8 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 7 7 8 9 9 9 9 8 9 9 9 8 8 9 10 11 11 11 10 10 11 13 13 11 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 7 6 5 7 8 8 8 7 7 7 6 6 5 5 5 5 6 7 8 9 8 8 8 8 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 9 9 8 8 7 7 8 8 7 7 7 8 9 9 9 9 8 8 9 9 8 8 8 9 9 9 10 10 11 12 14 15 13 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 9 8 7 6 5 5 6 8 8 8 8 7 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 7 7 8 9 9 9 9 10 11 13 15 15 12 9 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 7 7 7 6 6 7 8 9 8 7 5 5 6 6 7 7 7 7 7 7 8 8 8 7 6 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 9 8 8 8 8 8 8 7 8 8 9 9 9 10 12 15 16 14 10 7 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 7 6 6 6 7 8 9 9 10 9 8 8 8 7 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 6 7 7 7 7 6 6 6 6 8 9 8 7 5 5 6 6 6 6 6 6 6 7 9 9 9 7 7 7 9 12 13 12 11 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 15 15 12 7 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 nan
nan 7 6 5 6 7 8 9 9 10 10 8 7 7 7 7 8 8 9 10 9 9 8 8 8 7 7 7 7 7 7 6 7 6 6 6 6 6 6 7 8 8 7 6 5 6 6 6 6 5 6 6 7 8 8 8 7 6 7 10 13 14 14 13 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 11 13 12 8 5 5 6 7 6 5 5 5 6 6 6 6 6 6 6 6 6 7 nan
nan 7 6 6 6 7 7 7 8 8 9 9 8 7 6 7 8 8 9 10 10 10 9 9 9 8 7 7 7 7 7 7 6 5 4 5 5 6 6 7 7 8 8 7 6 6 6 6 5 5 6 6 7 7 7 6 6 6 7 10 13 14 14 13 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 7 6 7 8 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 nan
nan 7 7 7 6 6 6 5 6 7 7 8 8 7 7 7 8 8 9 10 11 11 10 9 9 8 7 7 7 7 8 8 7 5 4 5 6 6 6 6 7 7 8 7 6 6 6 5 5 5 5 6 7 7 7 7 7 7 8 10 12 13 12 11 10 10 10 10 10 10 9 8 8 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 8 8 8 7 5 4 4 5 5 5 5 5 5 6 6 nan
nan 7 8 8 7 6 5 4 6 7 7 7 7 8 8 8 8 8 9 10 11 11 10 9 8 8 8 7 7 7 8 9 8 6 5 5 6 6 6 5 5 6 8 8 7 7 6 5 4 4 4 5 6 7 7 7 7 8 9 10 11 10 10 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 8 9 10 10 10 10 10 9 7 5 4 4 4 4 5 5 5 5 5 6 nan
nan 8 8 8 8 7 6 5 6 7 8 7 7 8 9 9 9 9 9 10 11 11 10 9 8 8 7 7 7 7 8 9 9 8 7 6 6 6 5 4 4 5 7 8 7 7 7 6 5 3 2 2 3 5 6 7 8 9 10 10 9 8 7 8 8 7 7 7 8 9 10 10 9 9 8 8 8 9 9 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 9 9 8 9 11 13 13 12 11 10 7 5 4 4 4 4 4 4 4 5 5 5 nan
nan 10 10 10 10 9 7 5 5 6 7 7 7 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 5 3 4 5 7 8 8 8 8 7 4 2 1 1 2 4 5 7 9 10 10 9 7 6 7 8 7 7 6 6 7 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 9 9 9 11 13 13 12 11 10 8 6 4 4 4 4 4 4 4 4 4 4 5 nan
nan 12 12 11 11 11 9 7 5 5 5 5 6 8 9 9 9 10 10 9 9 9 10 9 9 8 8 9 9 9 9 8 9 9 10 9 7 7 7 6 4 3 5 6 7 8 8 9 8 7 5 2 1 1 2 4 6 8 9 10 9 8 7 8 8 9 8 7 6 6 7 7 8 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 7 8 8 8 9 8 8 8 9 9 8 8 8 8 8 8 9 9 8 7 7 7 8 9 9 9 11 12 12 10 8 7 6 5 4 3 3 3 3 3 4 4 4 4 4 4 nan
nan 12 12 12 12 12 11 10 8 6 5 4 4 6 8 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 9 8 8 9 10 9 7 6 7 6 5 4 5 6 6 7 8 9 10 10 8 6 4 2 1 2 4 6 8 9 9 9 8 9 10 10 9 9 8 7 6 7 7 7 8 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 8 6 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 nan
nan 11 11 11 11 11 12 11 10 8 6 5 4 5 7 8 10 10 9 8 7 7 8 8 8 8 9 10 10 10 9 8 8 9 10 9 7 6 5 5 5 6 5 5 6 7 8 9 10 10 10 9 7 5 3 2 3 4 6 7 8 8 8 9 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 9 9 8 7 6 5 4 3 2 2 2 3 3 3 3 3 3 3 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
394 306 272 265 270 291 273 293 323 317 272 233 195 136 85 59 41 41 56 131 392 247 137 146 130 100 92 78 65 68 44 22 46 64 87 84 62 57 48 34 28 22 17 11 3 0 0 0 0 0 0 0 0 0 2 4 7 12 28 100 146 132 115 87 76 94 115 105 68 49 43 42 43 49 63 88 119 107 74 65 78 80 73 73 69 60 62 71 88 104 125 172 211 262 313 374 450 533 633 754 917 1035 1109 1161 1166 1174 1201 1208 1168 1083 981 888 881 922 908 942 1059 1273 1582 1804 1838 1734 1449 1287 1225 1165 1230 1397 1445 1313 1133 1056 1100 1104 1136
569 498 408 318 277 279 266 263 304 290 242 210 186 145 105 92 84 42 37 103 241 202 141 144 148 139 132 114 111 134 125 64 76 90 102 102 89 74 53 29 23 17 13 8 2 0 0 0 0 0 0 0 0 0 2 4 7 15 34 58 72 83 93 56 50 48 50 40 24 14 10 8 7 7 15 29 45 61 66 63 58 54 54 55 53 49 43 38 40 46 54 81 104 136 186 251 308 359 417 496 659 840 968 979 985 1050 1133 1201 1224 1204 1163 1111 1011 990 945 921 953 1024 1090 1138 1296 1517 1660 1588 1466 1336 1406 1601 1664 1522 1367 1286 1250 1242 1056
638 610 540 449 379 354 321 313 322 290 242 206 168 150 131 123 117 85 62 69 86 111 130 144 153 148 140 126 138 183 155 107 123 135 125 119 109 69 37 27 20 17 12 5 1 0 0 0 0 0 0 0 0 0 2 4 9 20 29 28 26 43 53 34 26 22 16 9 3 0 0 0 0 0 1 4 9 21 36 40 34 33 42 46 42 37 29 24 21 24 25 32 41 54 78 116 168 249 288 343 435 563 763 865 857 883 951 1041 1124 1173 1200 1177 1143 1047 957 906 875 837 809 824 904 1042 1185 1259 1194 1128 1237 1396 1342 1213 1142 1089 996 929 862
580 520 484 452 409 372 366 383 395 374 351 323 257 244 237 228 223 222 215 201 184 165 144 142 153 142 133 129 158 196 158 158 185 177 142 121 110 61 33 25 21 18 12 5 1 0 0 0 0 0 0 0 0 0 1 4 13 25 28 24 18 23 25 19 11 8 5 2 0 0 0 0 0 0 2 3 2 5 12 16 16 20 32 41 34 31 25 19 15 13 13 16 23 31 37 53 86 133 189 243 289 370 540 697 740 746 774 855 949 1020 1073 1072 1048 1008 956 910 867 806 766 760 764 810 833 833 829 854 898 902 903 879 821 784 756 782 802
548 465 416 403 400 370 407 439 467 462 414 370 335 333 324 334 367 389 398 367 327 263 183 148 147 133 126 125 160 169 160 188 211 187 151 127 85 49 30 25 22 18 11 4 1 0 0 0 0 0 0 0 0 0 1 4 12 21 27 28 21 18 14 11 5 5 3 1 0 0 0 1 1 2 4 2 3 5 6 7 9 15 28 33 28 26 21 14 10 6 4 5 9 14 24 36 53 80 122 172 218 268 354 475 582 638 644 709 768 828 877 909 933 920 885 860 828 781 738 683 648 672 679 680 706 737 758 763 747 811 807 758 727 717 705
554 513 459 425 422 398 453 464 461 455 412 371 331 321 353 366 419 463 483 422 340 269 193 166 150 127 104 94 105 106 131 171 186 163 126 97 66 39 30 25 22 17 10 4 0 0 0 0 0 0 0 0 0 0 1 4 7 11 24 29 19 14 11 9 6 5 4 2 0 0 0 1 1 0 1 1 2 3 5 6 8 18 21 24 21 16 12 7 3 1 1 1 2 6 15 27 40 62 88 125 164 195 245 335 464 532 543 574 602 639 667 689 715 736 755 744 721 708 689 670 634 612 621 632 644 655 676 677 666 710 733 704 673 713 827
443 390 346 345 338 331 343 345 351 366 365 350 316 314 350 349 377 412 419 375 313 267 220 181 145 106 71 43 37 55 98 134 145 142 121 92 59 34 26 23 22 15 8 4 1 0 0 0 0 0 0 0 0 0 0 2 4 8 21 30 18 14 14 12 9 6 5 3 0 0 0 0 0 0 1 2 2 4 6 7 9 17 16 17 14 10 6 3 1 1 2 2 2 3 4 17 29 47 65 87 117 153 202 239 346 430 452 461 465 480 497 494 517 549 581 588 579 581 580 577 574 561 549 547 561 583 598 569 575 601 604 592 590 618 679
267 187 137 149 161 161 159 170 192 213 224 219 213 246 246 227 224 243 245 221 197 184 170 138 97 59 28 8 5 21 56 98 133 155 147 97 55 31 21 20 19 14 8 3 0 0 0 0 0 0 0 0 0 0 0 1 2 4 20 27 18 12 13 13 10 6 6 4 1 1 1 0 0 0 0 0 1 4 6 8 13 15 15 12 10 6 3 1 0 1 1 3 5 3 3 10 20 32 47 60 81 105 144 174 221 278 340 374 373 371 377 367 367 381 405 428 426 429 437 442 444 447 457 460 469 487 495 501 518 522 510 497 491 485 483
175 135 101 86 81 79 76 76 82 90 102 109 109 125 130 131 132 138 142 142 139 130 120 104 83 58 25 8 5 10 25 58 119 208 221 95 52 36 27 21 16 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 15 23 19 12 9 9 9 7 8 5 3 3 2 0 0 0 0 0 0 2 5 11 16 15 15 12 9 7 5 2 1 0 0 3 5 7 7 7 9 17 27 36 57 85 107 129 163 204 256 298 299 288 285 278 279 284 282 294 301 303 311 318 320 330 361 366 365 373 385 398 415 429 420 400 377 355 337
129 106 81 60 46 39 35 36 38 36 40 57 63 66 78 92 110 124 128 125 116 112 113 111 102 91 59 28 13 14 22 30 91 268 333 184 99 60 40 24 14 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 18 20 15 9 6 7 7 7 6 5 4 2 1 0 0 0 0 0 1 5 18 19 14 12 11 9 6 4 2 0 0 0 1 3 5 3 1 3 5 11 19 34 47 55 63 85 119 172 230 244 234 217 202 224 209 190 192 206 221 226 228 240 259 279 283 279 281 298 324 338 339 336 320 295 272 249
88 75 58 40 25 16 14 13 14 12 9 17 16 23 34 41 62 89 104 109 110 115 105 98 99 94 72 40 21 21 19 21 66 214 339 284 149 72 40 21 13 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 17 12 7 6 7 8 7 7 5 4 3 1 0 0 0 0 0 0 3 16 16 11 10 9 9 7 4 1 0 0 0 0 1 1 1 2 2 5 9 11 15 18 23 28 44 77 124 176 203 186 157 139 141 131 117 119 132 158 163 165 182 202 209 213 215 217 236 257 259 254 259 254 241 225 211
58 57 51 41 22 7 2 2 4 3 1 1 0 3 5 5 14 34 54 71 82 84 71 57 62 57 40 29 32 34 31 41 68 130 237 283 190 99 46 19 14 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 14 9 4 5 8 10 8 6 4 4 4 3 3 2 1 0 0 0 1 6 9 8 7 8 9 7 3 3 1 0 0 0 0 0 0 2 2 4 6 6 6 8 10 14 25 47 82 137 155 138 120 104 88 77 73 79 81 96 98 104 123 142 151 162 176 187 192 182 180 178 192 196 192 179 157
36 39 37 31 20 9 3 0 0 0 0 0 0 0 0 0 1 2 5 20 24 12 1 6 16 13 5 9 23 29 28 44 69 89 139 165 173 129 64 30 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 11 8 3 2 5 5 4 4 4 4 4 4 4 4 2 0 0 1 3 5 7 7 6 8 7 7 5 3 2 1 0 0 0 0 1 2 2 3 4 4 4 5 6 8 14 24 44 102 110 101 93 81 66 54 49 52 51 56 60 63 68 80 97 115 124 127 120 110 123 131 137 142 144 136 119
36 28 22 19 17 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 9 11 24 56 74 91 108 99 78 58 41 28 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 1 0 1 1 1 2 2 2 2 2 2 2 1 2 2 3 5 6 6 6 7 7 7 8 6 4 2 1 1 1 1 1 1 1 1 3 3 3 3 4 4 5 7 10 18 53 63 62 60 58 54 41 32 32 32 32 30 31 35 43 53 63 64 68 72 69 68 75 86 96 98 104 104
52 33 19 14 13 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 10 15 37 43 74 112 107 65 41 22 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 1 0 0 0 1 2 3 4 3 3 4 4 4 6 7 7 8 8 6 4 3 2 1 1 1 1 1 1 2 3 4 4 3 3 4 4 5 6 9 18 25 32 37 37 37 33 29 26 22 20 20 21 21 22 22 25 29 33 38 39 39 44 53 59 58 64 63
70 42 20 10 10 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 3 3 4 4 8 21 76 140 137 64 34 18 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 2 3 1 0 0 1 2 1 0 0 2 4 4 5 6 7 8 8 8 7 5 3 2 1 1 1 2 3 4 4 4 4 4 4 3 4 4 5 5 6 7 9 13 19 23 25 26 25 22 16 13 14 17 19 16 13 13 16 20 24 25 23 26 33 36 36 39 43
85 49 18 7 10 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 4 4 5 6 6 16 45 66 48 21 20 14 8 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 1 1 2 3 4 2 0 0 0 0 0 0 2 3 4 4 4 6 7 8 8 7 5 4 3 2 2 2 2 3 4 4 4 4 3 4 4 4 5 5 5 6 6 6 6 7 8 9 10 16 18 16 12 10 12 17 19 14 9 9 10 11 15 18 18 17 19 20 20 22 28
81 47 14 7 15 27 23 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 5 6 7 6 8 14 22 19 19 17 13 7 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 1 1 1 1 1 2 3 4 4 4 3 5 6 7 7 7 5 5 4 3 3 3 2 3 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 6 6 7 9 11 11 10 10 13 19 20 15 9 8 9 7 8 9 13 12 9 9 11 13 15
59 40 25 23 30 41 38 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 4 5 7 7 6 10 13 16 16 13 10 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 2 3 2 1 1 2 2 1 1 2 2 3 3 3 3 5 7 7 6 5 4 5 5 4 4 4 3 3 3 2 4 5 4 4 5 5 5 6 7 7 7 7 7 7 7 7 8 10 10 10 10 9 10 13 20 22 20 13 9 11 7 7 8 9 9 7 8 9 9 10
44 40 38 38 39 43 44 17 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 4 6 5 5 7 11 13 13 11 8 5 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 5 5 5 3 3 4 3 3 2 3 4 2 2 3 4 5 5 4 4 5 5 4 5 5 5 4 3 2 3 3 4 5 5 5 6 5 5 6 6 7 8 8 8 8 9 10 11 11 11 12 12 12 13 12 13 18 16 8 9 6 7 9 9 9 8 8 8 8 8
34 29 27 27 27 29 34 20 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 4 3 1 1 4 8 8 7 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 7 5 4 4 5 5 3 1 0 2 2 1 3 3 4 4 4 4 4 5 5 4 3 4 4 4 4 5 4 4 4 5 5 5 6 6 6 6 6 8 10 10 11 11 11 12 12 12 12 12 12 13 14 13 12 12 12 9 9 8 8 11 12 10 9 8 7 9 9
14 12 9 10 13 20 24 19 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 3 3 1 0 0 1 3 2 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 2 4 5 6 8 4 2 3 5 4 1 0 1 1 0 1 3 3 3 4 4 4 4 4 5 4 3 3 3 4 4 5 5 5 5 6 6 6 7 7 7 6 7 9 11 13 14 13 11 12 14 15 12 11 11 14 14 14 12 10 9 10 11 10 10 10 11 11 11 10 7 9 11
5 4 2 5 10 22 27 23 14 5 1 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 1 1 2 4 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 1 1 2 5 6 6 6 4 3 4 6 4 0 0 1 1 0 0 2 3 3 4 4 4 4 5 5 5 4 3 3 3 4 5 6 5 5 6 6 7 9 9 9 8 8 10 13 16 18 17 14 16 17 15 14 13 12 12 13 14 14 12 10 11 12 12 12 12 12 12 12 12 11 11 12
2 2 1 2 7 17 24 20 8 1 0 0 0 0 0 0 0 0 0 1 3 6 5 4 2 1 1 1 3 5 3 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 3 4 4 5 4 5 5 5 3 0 0 0 0 0 0 1 2 3 3 4 5 4 5 6 6 5 4 3 4 4 4 4 5 5 6 7 10 10 10 11 10 11 13 16 19 20 20 21 24 22 17 17 17 14 12 11 12 15 14 12 12 13 14 15 15 16 14 14 14 14 14 15
1 2 2 4 8 8 13 9 3 0 0 0 1 5 7 1 0 0 0 1 4 5 3 6 3 1 1 1 4 7 5 1 0 0 0 2 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 1 2 2 3 4 5 5 4 1 0 0 0 0 0 1 2 2 3 4 6 7 6 5 6 7 6 4 3 4 5 4 5 5 5 6 9 12 13 13 13 13 15 18 21 21 20 21 27 29 25 20 19 18 16 15 14 12 15 15 14 14 14 16 17 18 18 17 16 17 17 16 16
0 1 1 2 4 4 8 14 14 7 1 0 2 13 25 4 0 0 0 2 4 1 0 1 1 1 1 1 8 13 7 2 0 0 1 2 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 1 1 2 2 2 2 2 0 0 0 0 0 0 1 2 2 2 5 7 7 6 6 6 6 7 5 4 4 5 5 5 5 5 6 9 13 15 15 16 18 21 23 24 22 20 23 29 30 26 23 22 21 18 17 16 13 14 14 14 14 15 15 16 17 17 17 17 19 19 17 17
0 0 0 0 0 1 4 9 8 2 0 0 0 2 1 0 0 0 0 0 1 1 1 0 2 1 1 1 3 7 6 1 0 1 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 1 0 0 0 0 0 2 2 0 0 1 2 2 2 5 6 7 7 7 7 6 7 6 5 5 5 6 6 5 6 8 11 14 15 17 20 21 23 24 24 23 23 24 26 27 25 24 22 21 20 18 17 16 16 16 15 15 15 15 16 16 16 16 16 17 18 17 16
0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 2 2 3 6 12 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 7 8 8 7 6 7 7 5 5 5 5 5 6 7 10 13 16 17 18 20 22 22 22 24 25 26 24 23 23 24 24 21 20 19 18 18 19 19 18 17 17 17 17 18 18 18 18 18 18 17 15 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 9 4 2 2 4 10 19 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 2 3 4 6 8 9 9 7 6 6 7 7 6 5 5 6 8 11 12 14 15 16 18 19 20 21 23 26 27 27 26 25 26 27 26 23 21 19 18 18 18 19 19 18 19 18 19 19 20 20 20 20 19 18 17 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 5 2 1 1 2 4 7 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 0 0 0 0 0 0 0 1 0 0 0 1 2 3 4 6 8 9 9 7 6 6 7 8 7 6 5 6 10 12 13 13 14 15 16 17 19 22 25 27 28 28 27 27 28 28 26 24 22 20 19 19 18 17 17 16 16 15 15 15 16 17 18 18 18 18 18 17
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