Vorticity
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nan 7 8 8 9 10 11 11 9 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 7 7 7 7 7 7 6 7 8 8 8 8 8 7 7 7 6 6 7 7 8 8 7 7 7 8 8 8 7 7 7 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 12 18 21 17 13 11 11 11 9 8 9 9 9 8 7 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 8 8 9 11 11 11 10 8 7 6 7 7 7 7 7 8 8 9 8 9 9 9 8 8 8 8 7 7 6 6 7 8 8 8 8 8 7 7 7 7 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 7 6 7 9 13 16 16 15 14 13 11 9 10 11 12 11 9 7 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 8 10 11 11 10 8 7 7 7 7 6 6 7 7 8 9 9 9 9 9 8 8 8 8 7 7 6 6 7 8 8 9 8 8 7 7 7 8 9 9 9 8 7 6 6 6 6 7 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 6 7 7 8 9 8 8 8 8 8 8 7 7 7 6 6 7 8 9 11 13 15 15 12 9 9 12 14 16 14 11 8 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 6 7 8 10 11 10 8 8 8 8 7 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 7 6 7 7 8 9 9 9 8 8 7 8 8 9 10 9 8 8 7 7 6 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 9 8 8 8 8 8 8 7 7 6 6 7 8 8 8 10 12 12 10 8 9 13 17 20 18 13 9 7 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 5 5 6 7 9 10 10 9 9 9 8 8 7 7 6 6 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 9 9 8 8 8 9 10 10 9 9 9 9 8 7 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 7 7 6 7 7 8 7 7 8 8 8 8 7 8 12 18 23 21 15 10 7 5 5 5 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 6 6 6 7 8 9 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 8 10 16 21 21 18 13 9 6 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 8 9 10 10 9 8 8 8 9 9 9 9 8 7 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 8 9 9 8 8 8 8 7 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 6 6 7 7 7 8 12 15 18 20 18 14 9 6 6 6 7 7 7 7 7 6 6 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 8 9 11 11 11 9 8 8 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 9 8 7 5 5 5 5 5 6 7 8 8 9 9 10 10 10 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 9 8 8 7 8 8 8 8 8 8 9 9 8 7 7 7 6 6 7 7 7 7 8 9 13 17 19 19 16 12 9 7 7 7 7 7 7 6 6 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 9 10 10 11 10 9 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 7 7 8 8 7 6 6 6 7 8 9 9 7 5 3 2 2 3 4 6 7 8 8 9 9 10 10 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 8 7 7 7 6 6 7 7 7 7 6 6 8 12 15 20 21 19 15 12 9 8 8 7 7 6 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 nan
nan 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 7 7 7 7 6 6 7 7 8 9 9 8 6 4 3 3 2 3 4 6 7 7 7 7 8 10 10 11 11 10 9 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 9 9 8 7 7 6 6 6 7 7 7 6 6 6 7 8 10 14 19 22 21 18 14 10 10 10 9 8 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 nan
nan 7 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 7 6 6 5 5 5 4 5 6 6 6 6 5 6 8 9 10 11 11 10 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 7 6 7 7 6 6 6 6 7 7 9 12 17 20 20 16 13 12 14 15 13 10 6 5 6 7 7 8 8 8 8 7 7 7 7 7 7 6 nan
nan 5 6 8 9 9 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 7 8 8 7 7 7 7 7 8 8 9 8 8 7 6 6 7 8 8 7 7 7 6 6 5 4 5 5 6 8 9 10 10 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 6 8 10 14 15 14 12 13 15 19 20 15 9 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 nan
nan 6 6 7 8 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 6 6 6 7 9 9 9 8 7 7 7 6 5 5 5 5 6 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 9 10 10 10 12 14 19 21 17 11 9 8 8 8 8 8 8 8 7 7 7 7 7 6 6 nan
nan 7 7 7 8 9 10 9 9 8 7 7 7 7 6 6 6 7 7 7 8 8 8 7 7 6 5 5 6 7 7 7 7 6 6 6 7 7 8 9 9 9 8 7 6 6 7 8 9 9 8 7 7 7 8 8 7 7 6 7 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 10 12 16 19 18 14 11 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 nan
nan 8 7 7 8 9 10 10 10 9 8 7 7 7 7 6 6 6 7 7 8 8 8 8 7 6 5 5 5 6 7 7 7 6 6 6 6 6 7 8 8 9 8 7 6 6 6 7 7 8 8 7 7 7 8 9 9 8 8 9 10 10 9 9 9 9 9 9 9 8 7 7 7 8 8 7 7 8 8 8 8 7 7 7 8 9 9 9 8 8 8 9 9 9 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 10 14 18 20 16 12 11 10 9 8 8 8 8 8 7 7 7 7 7 7 6 6 nan
nan 9 8 7 8 9 11 12 12 10 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 6 6 6 6 6 7 7 7 8 9 9 9 8 8 9 11 12 12 11 10 9 10 10 10 9 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 11 16 20 19 14 11 12 13 11 8 8 7 7 7 7 7 7 7 7 6 6 6 nan
nan 9 9 8 9 11 12 13 13 12 9 7 6 7 7 7 7 7 8 9 9 8 8 8 8 7 6 6 6 6 7 7 5 4 4 5 6 6 6 6 7 8 8 8 7 7 6 5 5 5 6 7 7 7 8 8 8 7 6 8 11 13 14 13 11 10 10 10 10 9 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 12 16 18 15 12 12 15 17 15 11 8 7 7 7 7 7 7 7 6 6 6 6 nan
nan 9 10 10 11 12 12 13 13 11 9 7 6 6 7 7 7 7 8 9 9 9 8 8 8 7 7 7 7 8 9 9 6 3 3 4 5 6 7 7 7 8 8 8 8 8 6 5 4 4 6 7 8 7 6 7 7 7 6 8 11 13 13 12 11 11 11 11 11 10 9 8 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 9 8 8 9 11 13 13 11 10 12 17 19 19 16 12 9 7 7 7 7 7 7 6 6 6 6 nan
nan 10 10 11 11 11 12 12 11 10 8 6 6 6 7 7 8 8 9 10 11 10 9 8 8 8 8 8 8 8 10 10 8 5 3 4 6 7 7 6 6 7 8 9 9 8 7 5 4 4 4 6 8 7 7 7 7 7 8 10 11 11 11 9 9 10 11 11 12 11 10 10 9 9 9 8 8 8 8 9 9 8 8 8 7 7 6 7 8 8 8 9 10 9 9 9 9 9 9 9 8 8 8 9 8 9 9 8 8 8 8 9 9 10 9 9 9 11 13 17 19 20 17 12 7 7 7 7 6 6 6 5 5 6 nan
nan 10 10 11 11 11 11 11 10 9 7 6 6 7 7 8 8 9 10 11 11 11 9 8 8 8 8 7 7 8 9 10 10 7 4 5 7 8 8 6 6 6 8 9 9 9 8 6 5 3 3 4 6 7 7 7 7 8 10 11 10 9 7 6 8 8 9 10 12 12 12 11 11 10 10 9 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 8 9 9 10 12 16 20 21 15 8 7 6 6 6 5 5 5 5 6 nan
nan 10 10 10 10 10 11 11 10 8 7 6 7 7 8 8 9 9 10 11 11 11 9 8 8 7 7 7 7 7 8 10 10 8 7 7 8 9 9 8 6 6 7 8 9 9 9 8 6 3 2 3 4 6 6 7 7 8 9 9 8 6 5 5 6 6 7 8 10 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 10 12 18 20 16 10 7 6 5 5 5 5 5 5 5 nan
nan 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 10 10 10 10 10 10 10 9 8 8 8 7 7 7 8 9 9 8 8 7 7 8 9 8 7 6 6 8 9 10 10 10 8 5 4 3 4 4 5 6 7 7 7 6 5 4 3 5 5 5 5 6 8 9 11 12 12 12 11 10 10 9 9 9 9 9 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 6 7 7 8 8 9 10 11 12 11 9 9 13 16 13 10 7 5 4 4 4 4 4 5 5 nan
nan 10 10 10 10 9 9 9 9 9 8 8 7 8 9 10 10 10 10 9 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 7 6 6 8 8 7 6 6 7 8 9 10 10 9 8 6 5 5 4 4 5 6 6 5 3 2 3 4 5 5 5 5 6 6 7 9 10 12 12 12 11 10 10 10 9 9 8 8 8 8 8 7 8 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 12 14 15 15 10 8 10 11 9 8 6 4 4 4 4 4 4 5 5 nan
nan 10 10 10 10 10 9 9 8 8 8 7 7 8 9 9 10 10 9 8 7 8 10 10 10 9 8 8 8 8 7 7 8 9 10 8 5 5 6 7 7 7 7 7 7 7 8 8 9 8 8 7 6 4 4 5 6 6 5 3 2 3 5 6 6 6 6 6 6 6 7 9 10 11 11 11 10 10 10 10 9 9 9 9 8 8 7 8 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 10 11 12 14 17 18 15 13 11 9 7 6 5 4 3 3 4 4 4 5 5 nan
nan 10 10 10 10 10 10 9 8 8 7 6 6 6 8 9 10 10 9 7 6 7 8 9 10 9 8 8 8 8 7 7 7 8 9 9 6 6 6 6 7 7 8 7 7 6 6 7 8 8 8 8 7 5 4 4 5 6 6 5 4 4 5 6 7 7 7 6 6 5 6 7 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 12 15 17 19 19 17 11 6 5 4 3 3 3 4 4 4 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
87 91 100 119 125 117 121 135 141 141 129 114 117 147 172 141 79 29 18 15 12 14 18 28 35 31 23 17 12 11 14 11 10 8 6 8 9 8 9 11 10 6 3 1 3 2 3 5 7 9 11 13 15 13 7 8 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 50 96 145 180 212 237 249 262 290 313 322 375 375 345 336 363 400 428 438 449 484 530 566 603 651 731 815 851 859 912 1001 1104 1218 1355 1419 1440 1420 1365 1297 1218 1098 986 946 930 939 968 1004 1020 1012 995 1000 1032 1115 1237
94 105 117 142 132 118 128 126 112 100 85 74 78 88 81 50 22 10 9 10 10 10 13 23 37 41 33 21 14 10 10 8 7 6 4 3 4 5 6 9 10 5 2 0 2 2 2 3 4 6 9 14 14 16 11 9 6 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 39 87 125 141 161 189 215 249 245 251 245 245 246 253 264 282 318 347 379 408 437 480 505 528 552 601 682 735 766 844 930 1042 1168 1311 1417 1451 1426 1388 1362 1340 1240 1139 1070 1000 973 973 955 940 935 914 909 935 970 1079
92 96 102 111 92 105 118 102 87 78 70 69 75 76 48 19 11 10 9 10 9 8 9 21 45 64 53 27 18 13 10 8 6 4 2 1 1 1 2 6 9 5 2 0 1 1 1 1 2 4 6 15 20 20 17 12 5 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 36 78 105 110 124 141 157 191 192 193 185 174 174 184 192 203 241 252 274 287 290 312 343 367 378 408 480 543 627 730 852 986 1149 1311 1412 1427 1416 1409 1328 1341 1333 1295 1200 1097 1044 1014 927 795 767 825 808 856 854 941
73 82 85 76 73 86 90 86 88 91 91 89 80 69 43 18 11 10 11 12 11 11 13 25 51 69 63 37 24 16 12 9 6 3 2 1 1 0 0 3 4 3 1 0 0 0 0 1 2 2 4 13 20 24 21 12 3 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 28 61 87 86 99 110 115 139 153 152 144 142 142 131 127 130 145 152 156 153 156 172 185 197 219 261 320 396 464 561 719 907 1094 1276 1394 1380 1394 1399 1361 1363 1354 1330 1264 1171 1085 994 860 715 659 763 750 782 820 886
67 65 62 70 84 99 102 97 103 110 106 97 84 70 50 25 12 10 11 11 11 11 10 19 44 53 57 52 39 20 12 8 4 2 1 1 1 0 0 0 1 1 0 0 0 0 0 2 3 1 4 13 19 24 26 18 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 26 54 71 81 99 98 94 103 117 116 105 105 99 87 86 90 90 91 93 97 114 134 145 154 167 180 215 278 316 396 545 736 953 1198 1380 1353 1357 1368 1379 1370 1354 1338 1303 1246 1185 1074 890 731 646 688 675 671 677 676
57 51 61 74 93 111 122 114 112 115 106 98 92 74 49 26 10 7 15 15 9 7 9 13 25 34 47 54 52 33 17 8 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 7 13 21 28 25 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 25 38 49 49 52 70 79 82 86 90 80 72 71 72 65 63 59 56 57 61 73 93 109 99 103 105 120 148 179 241 357 527 744 1013 1239 1294 1282 1299 1325 1336 1338 1341 1325 1295 1337 1245 1102 955 828 720 632 574 555 564
50 46 57 70 91 108 122 119 114 118 121 121 98 63 40 39 38 22 22 21 10 6 7 7 10 14 23 37 47 41 25 10 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 8 17 28 32 26 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 9 20 29 31 34 35 41 55 62 62 67 78 66 50 61 62 59 50 38 34 36 38 40 47 71 59 50 53 61 68 82 117 186 309 474 719 961 1117 1152 1169 1236 1289 1267 1288 1330 1276 1349 1297 1252 1180 1080 958 806 633 516 495
51 48 60 66 81 100 109 105 102 112 121 109 81 44 30 32 29 22 18 13 7 6 6 6 6 7 10 21 29 28 18 8 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 7 9 15 25 34 36 28 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 17 31 33 30 32 36 37 34 38 49 56 64 54 42 45 52 51 43 37 35 31 28 27 29 39 34 28 27 30 31 37 47 64 92 194 352 567 773 896 959 1000 1027 1051 1116 1233 1194 1206 1151 1110 1110 1095 1046 943 758 665 627
52 53 60 62 66 74 79 79 83 93 92 74 47 25 17 13 13 12 7 3 4 3 3 4 6 6 9 14 16 14 10 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 11 14 20 32 42 38 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 21 36 33 31 32 36 38 36 36 40 44 46 44 39 38 36 35 37 38 37 29 24 26 28 29 26 18 16 16 16 18 19 21 21 32 78 212 375 516 634 731 799 784 845 879 914 986 981 918 886 884 887 860 792 756 727
54 50 52 56 57 58 57 58 62 66 62 52 22 8 9 12 9 5 4 3 3 3 3 4 5 7 9 11 11 9 7 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 22 21 26 41 35 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 19 30 27 27 30 33 36 37 37 35 34 36 38 36 31 29 30 31 30 31 25 22 23 24 23 22 18 14 13 14 15 19 21 17 14 17 55 122 198 291 404 533 610 633 620 620 728 818 767 733 715 714 684 649 589 545
63 48 42 46 49 52 44 36 45 50 48 34 9 2 4 8 6 4 4 3 4 3 3 3 4 6 8 10 9 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 22 24 24 34 27 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 11 18 19 19 23 26 28 30 31 28 26 26 27 25 22 20 18 18 19 18 16 15 15 14 14 15 15 14 16 17 21 23 24 21 18 16 22 37 56 79 154 242 334 414 465 439 444 553 554 536 533 539 514 466 406 357
71 47 40 38 42 51 44 26 31 33 28 14 3 0 1 2 3 4 5 4 4 3 3 3 3 4 6 8 6 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 20 22 27 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 11 13 16 20 24 24 21 18 17 16 14 13 12 11 10 11 12 12 12 13 14 14 14 15 14 16 20 20 22 24 28 29 25 19 18 23 26 30 52 77 128 204 275 283 248 285 307 347 328 341 352 332 285 232
77 54 45 43 51 64 58 31 13 10 6 2 0 0 0 1 2 2 3 4 4 4 4 4 4 4 5 6 4 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 13 20 25 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 6 6 14 17 15 13 13 14 12 10 10 9 8 9 10 11 13 13 14 14 14 13 14 15 19 21 20 20 21 24 27 25 21 19 22 23 24 27 29 38 66 112 142 133 119 124 147 141 157 188 194 168 148
83 66 54 55 71 85 76 43 14 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 4 4 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 9 12 23 26 18 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 3 4 7 10 13 13 12 12 13 11 8 9 9 9 8 9 10 13 15 14 13 12 12 15 16 19 19 18 17 15 16 19 19 19 21 22 23 22 21 21 22 26 41 61 64 54 58 69 71 72 84 98 85 90
106 83 60 62 82 95 81 44 10 0 0 0 0 0 0 0 1 2 2 3 4 4 4 3 4 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 16 25 23 13 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 5 7 9 11 11 9 10 11 11 9 10 12 11 10 9 11 15 17 16 13 15 15 17 18 18 18 17 17 16 16 19 19 19 19 22 23 23 23 21 19 17 22 30 34 29 31 38 43 42 45 54 48 53
127 102 79 75 89 94 67 25 1 0 0 0 0 0 0 0 1 2 2 3 4 4 3 3 3 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 17 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 6 8 9 10 11 11 11 11 12 12 13 13 12 11 10 11 15 19 22 15 16 15 17 19 19 19 17 17 16 15 16 17 15 16 19 22 23 24 24 21 19 18 22 26 26 25 24 25 29 36 40 39 37
149 117 88 75 81 83 44 7 0 0 0 0 0 0 0 0 0 2 2 4 4 4 3 3 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 6 7 8 10 11 11 11 12 13 14 13 13 13 12 12 11 11 14 17 21 16 15 16 17 19 20 18 17 16 15 14 14 15 13 14 16 18 20 22 25 24 22 21 22 25 25 22 22 24 25 31 32 32 29
135 91 58 46 58 67 39 9 1 0 0 0 0 0 0 0 0 1 3 3 4 3 3 3 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 3 5 7 8 9 10 11 11 11 12 13 15 14 14 13 13 12 11 11 12 14 16 16 17 16 18 19 19 17 15 16 16 13 13 14 13 13 14 15 13 15 21 24 25 25 25 25 24 27 26 27 27 27 26 25 22
83 53 41 43 52 54 39 9 1 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 2 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 6 7 8 9 10 11 12 12 12 12 14 14 14 13 13 12 9 9 11 12 14 17 18 18 18 17 17 16 15 16 17 15 13 14 14 14 14 14 13 14 17 21 24 26 26 26 26 26 27 27 27 27 27 26 24
49 36 33 44 56 38 29 14 3 0 0 0 0 0 0 0 1 2 4 3 3 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 5 5 7 8 8 9 11 12 12 13 12 12 12 12 12 12 13 12 10 9 10 11 14 17 17 17 17 16 15 15 15 17 18 17 14 14 15 14 14 14 15 18 20 21 23 25 25 26 27 26 25 27 28 29 29 29 28
40 28 20 31 53 22 22 13 4 1 1 0 0 0 0 0 1 11 13 7 5 4 4 2 2 2 2 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 1 2 4 5 6 7 7 7 8 9 10 11 12 13 13 12 10 10 10 9 10 12 11 10 9 10 13 16 17 17 17 16 15 14 15 17 19 19 17 15 16 15 15 15 18 21 22 23 24 24 24 25 27 28 27 28 29 31 31 32 33
25 14 5 12 34 14 18 15 15 10 3 0 0 0 0 0 1 10 14 11 9 9 7 2 3 2 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 1 3 4 6 7 7 8 8 8 8 9 12 13 13 14 13 12 10 10 10 9 8 9 9 9 9 10 13 16 17 18 17 17 16 15 15 15 16 19 19 17 16 16 16 18 22 26 28 29 28 26 24 24 25 30 33 31 28 30 30 32 34
11 5 1 4 21 17 16 14 16 8 1 0 0 0 0 0 4 11 12 11 9 10 11 7 7 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 1 5 6 6 7 8 8 9 9 9 10 13 15 14 13 13 12 11 11 11 10 8 9 9 9 11 12 14 16 18 20 21 20 20 18 17 15 15 16 15 15 15 16 18 22 27 30 31 32 31 31 27 25 25 29 34 33 28 30 29 29 30
3 2 3 9 15 13 10 7 12 7 0 0 0 0 1 0 3 4 4 5 6 9 14 14 15 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 1 5 7 7 7 7 8 9 9 10 10 13 15 14 12 12 12 12 11 10 10 10 10 10 10 12 13 14 18 21 24 24 24 23 21 18 17 17 17 16 15 16 18 22 28 32 34 34 34 35 35 32 30 28 26 25 25 27 28 28 27 26
1 1 2 9 9 8 6 3 3 2 0 0 2 9 11 9 11 6 8 10 9 9 12 15 17 10 3 5 8 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 1 4 7 7 7 7 7 8 8 10 11 11 12 14 13 12 12 12 12 10 10 11 11 11 11 11 12 13 13 18 23 25 26 26 26 24 21 19 19 18 18 18 19 21 25 30 33 35 36 36 37 37 36 34 31 27 24 23 24 24 26 26 24
0 1 1 1 1 7 9 9 6 3 4 8 10 14 26 27 22 8 1 3 8 12 15 16 17 13 8 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 7 7 8 8 11 12 11 11 11 11 11 12 12 11 11 10 11 11 11 12 12 13 13 14 17 22 26 27 27 28 27 24 21 19 18 19 20 22 23 25 29 30 33 33 35 36 36 36 35 33 30 27 24 22 22 22 22 22
0 0 0 0 0 10 10 13 17 15 11 10 7 3 2 15 13 5 3 8 16 18 16 16 16 19 16 15 11 3 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 6 7 7 8 8 8 7 8 10 12 12 11 9 8 9 11 11 11 10 10 10 10 11 11 11 11 12 13 15 18 22 25 26 27 26 23 21 19 18 19 20 21 22 23 25 24 25 28 33 35 35 33 33 32 30 27 24 22 21 20 20 20
0 0 0 0 0 4 3 5 7 5 2 1 1 0 0 0 0 0 4 10 15 17 15 10 8 15 17 16 12 4 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 0 0 0 0 0 0 0 0 0 1 4 6 7 7 8 7 7 8 9 11 13 12 10 9 8 9 11 11 11 10 10 10 10 10 10 10 11 12 14 17 20 22 23 22 22 20 18 17 16 16 18 19 19 20 20 19 20 23 28 32 33 31 31 30 28 25 22 21 20 21 20 20
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 5 9 15 8 3 6 11 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 9 8 7 7 8 9 11 12 11 9 8 9 10 12 11 10 10 9 9 9 10 10 10 11 13 14 16 18 18 16 17 17 15 13 12 13 13 14 15 16 16 16 16 18 22 26 29 28 28 30 29 27 24 22 20 22 20 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 2 10 6 3 3 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 6 8 8 7 7 7 8 9 10 11 10 8 9 10 12 12 11 10 9 9 10 10 9 10 11 12 13 15 16 15 15 15 15 13 11 9 10 11 10 11 12 13 13 13 14 16 18 21 22 23 25 27 28 27 24 19 19 18 17
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