Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 11 12 12 11 11 10 10 9 9 9 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 8 7 7 8 8 9 10 9 10 10 9 8 8 7 8 8 8 8 8 9 9 9 8 8 8 9 7 5 5 9 13 14 12 11 9 8 7 6 5 4 4 5 7 8 8 8 8 7 8 8 9 10 11 11 11 11 10 10 10 9 10 10 11 12 13 13 13 13 13 13 13 13 12 12 11 10 9 9 10 11 12 12 12 11 11 11 12 13 14 14 14 14 13 11 10 9 8 7 7 7 7 8 9 11 13 14 13 12 11 9 9 8 8 9 9 9 9 8 8 7 7 7 nan
nan 7 9 11 12 12 12 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 11 10 9 8 7 8 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 9 8 7 8 9 8 7 7 9 12 12 11 9 9 8 7 6 4 4 7 10 11 10 9 8 7 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 8 8 8 9 10 11 12 12 13 14 14 13 12 11 10 9 8 9 9 9 9 8 8 8 8 8 nan
nan 8 8 10 12 13 12 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 9 10 10 11 10 10 11 11 12 11 11 10 9 8 8 9 10 11 10 10 9 9 9 9 8 7 7 7 8 8 7 7 8 9 8 7 8 8 8 7 6 8 10 10 10 9 9 9 8 6 5 7 11 13 12 10 8 7 7 8 8 7 7 8 8 9 9 10 11 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 13 13 13 13 12 11 11 10 9 8 8 8 9 9 9 9 9 8 8 nan
nan 9 9 9 11 12 12 11 9 8 9 9 10 9 9 9 9 9 9 9 8 7 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 7 8 9 11 11 11 9 9 9 9 8 9 8 8 8 9 9 8 8 8 9 9 8 8 8 7 6 6 7 9 10 10 10 10 10 9 7 7 10 14 14 12 9 7 8 9 9 8 8 7 7 7 7 8 9 10 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 13 13 14 13 12 12 12 11 10 10 10 9 9 8 8 8 9 9 9 9 9 8 8 nan
nan 10 9 8 9 11 11 10 9 8 9 10 11 10 10 9 8 8 8 8 8 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 6 6 7 8 10 12 11 10 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 10 10 10 10 10 10 10 9 10 13 14 14 12 9 9 9 10 9 8 8 7 7 7 7 7 7 8 10 12 13 13 13 13 13 13 12 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 14 13 13 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 nan
nan 10 9 8 8 9 10 10 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 8 10 11 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 10 11 11 11 11 12 13 12 11 10 10 10 9 8 8 7 8 8 8 7 7 6 7 9 11 12 13 13 13 13 13 13 12 11 10 9 9 8 8 8 7 8 8 9 9 10 11 12 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 9 9 8 8 7 6 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 7 nan
nan 9 9 9 9 9 9 9 10 11 11 11 12 11 11 10 9 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 9 8 7 7 7 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 11 10 10 10 9 8 7 7 7 8 8 8 8 7 6 6 8 9 11 12 12 13 13 13 13 12 11 10 9 8 8 8 7 7 7 7 8 8 8 9 10 12 12 13 13 13 12 12 11 11 10 10 10 9 9 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 7 nan
nan 8 8 9 10 9 8 9 11 12 12 11 11 11 11 10 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 8 8 7 8 10 12 12 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 7 8 9 10 11 11 11 12 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 9 10 11 11 12 12 12 11 11 11 10 10 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 8 8 7 7 7 nan
nan 9 9 10 10 9 7 8 10 12 12 11 10 10 10 10 10 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 8 8 8 10 12 13 12 11 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 10 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 10 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 7 7 7 nan
nan 10 10 10 10 8 7 7 10 12 12 12 10 9 9 10 10 11 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 7 8 8 9 9 9 10 10 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 8 nan
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nan 9 9 10 11 11 10 9 9 9 10 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 10 10 9 10 10 10 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 8 8 8 9 10 10 9 9 9 8 8 8 9 10 10 10 9 8 7 7 7 7 8 8 9 10 9 9 8 8 9 9 9 9 9 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 12 13 12 11 11 12 14 16 16 15 14 14 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 8 8 9 9 9 9 9 nan
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nan 10 11 12 13 12 11 10 8 8 8 9 10 11 11 11 11 11 10 8 8 8 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 11 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 9 11 12 14 15 14 12 11 10 11 12 12 12 13 13 14 15 16 17 16 16 16 16 17 17 17 16 16 16 16 16 16 16 14 12 10 10 12 15 18 21 22 21 20 18 17 16 16 15 15 14 14 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 nan
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nan 11 11 12 12 12 11 9 7 6 7 8 9 12 14 14 12 10 8 7 8 10 10 11 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 8 8 7 7 7 6 6 7 7 7 8 9 10 11 14 16 17 15 14 12 11 10 10 9 8 7 7 8 8 8 9 9 9 9 10 10 11 12 12 12 12 12 13 14 14 14 12 9 6 6 8 12 16 19 21 21 20 20 19 19 18 18 17 17 16 16 15 15 14 14 13 13 12 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 9 9 nan
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nan 12 12 11 10 9 8 7 7 7 7 7 8 9 10 11 10 10 9 10 10 11 12 12 13 13 13 12 10 9 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 10 10 9 9 8 6 5 6 6 7 8 9 9 10 11 14 16 16 14 12 9 7 5 4 3 4 6 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 10 10 10 9 8 7 5 4 4 5 7 10 14 16 18 19 19 19 19 18 18 17 16 16 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 nan
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nan 7 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 9 10 12 11 10 10 9 8 7 6 6 6 7 9 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 12 13 13 13 13 13 14 14 14 13 13 12 11 11 11 11 11 12 12 13 13 13 14 13 14 15 14 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 12 16 19 21 21 22 22 20 17 14 12 9 6 3 1 -1 -3 -3 -2 -1 1 3 4 4 4 4 nan
nan 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 10 12 13 11 10 8 7 6 5 4 5 7 9 11 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 9 9 10 11 12 13 13 13 13 13 14 14 14 13 13 12 11 11 11 11 11 12 12 12 13 13 14 14 14 14 13 12 12 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 9 7 6 6 7 11 14 18 20 23 25 24 23 23 22 21 19 17 14 10 6 2 -0 -3 -4 -3 -3 -3 -4 -4 nan
nan 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 9 8 7 7 7 7 8 10 13 13 13 10 8 6 5 5 5 6 8 10 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 12 13 13 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 12 12 13 13 14 14 14 13 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 8 7 6 6 7 9 11 13 15 17 19 21 22 22 23 25 26 27 26 23 19 15 9 4 -0 -2 -3 -4 -6 -7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
99 120 131 146 160 163 144 107 69 43 29 23 22 24 35 42 44 40 29 25 27 26 23 22 25 29 33 35 31 21 11 6 5 4 3 3 4 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 16 32 34 41 50 52 71 91 103 126 164 207 255 304 358 413 465 507 552 598 642 690 756 823 903 996 1087 1164 1224 1284 1324 1323 1313 1335 1320 1322 1441 1585 1653 1743 1853 1892 1962 1980 1763 1571 1401 1323 1296 1255 1237 1214 1164 1150 1194 1283 1248 1176 1161 1199 1253 1247 1308 1312 1284 1244 1175 1142 1300
82 98 112 125 131 128 117 90 64 46 35 29 28 31 43 51 51 43 33 25 23 20 15 14 18 23 32 36 31 21 11 9 9 8 5 3 3 4 3 4 5 5 4 2 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 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 11 14 19 25 33 35 45 52 55 67 97 132 173 219 266 307 349 386 421 455 486 512 542 590 653 737 843 956 1063 1159 1194 1179 1178 1211 1220 1238 1334 1503 1585 1615 1715 1792 1775 1658 1452 1276 1128 1049 1043 1108 1184 1190 1153 1120 1125 1121 1044 1001 1020 1093 1173 1185 1188 1192 1184 1087 1007 1081 1255
71 84 78 77 88 93 86 69 53 44 39 35 35 36 38 40 42 36 31 26 20 16 13 12 13 21 27 26 21 19 13 9 7 6 5 2 2 3 3 3 5 6 4 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 3 5 7 8 8 11 17 22 27 34 53 75 99 128 159 186 225 268 307 340 365 384 400 415 441 484 552 649 759 880 990 1055 1068 1117 1150 1187 1239 1285 1372 1463 1490 1520 1547 1530 1436 1254 1102 1001 922 916 1052 1155 1185 1158 1124 1083 995 938 922 914 970 1075 1151 1169 1164 1110 981 957 1069 1257
49 58 53 45 48 65 63 52 44 41 39 38 39 38 35 36 44 39 30 22 17 17 18 21 19 19 17 16 12 12 10 7 6 6 6 4 3 2 2 3 6 5 5 4 2 0 0 0 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 2 4 6 8 10 13 33 55 75 95 114 131 162 200 234 264 289 308 328 348 370 395 441 518 612 720 821 886 959 1053 1085 1077 1105 1176 1234 1310 1346 1323 1288 1267 1186 1087 1034 1049 1058 1083 1156 1214 1216 1165 1118 1057 990 935 904 871 954 1067 1115 1098 1046 946 893 908 947 1124
18 22 32 41 43 46 48 42 37 39 37 36 37 36 33 32 42 41 32 25 28 42 37 37 33 29 25 19 12 8 7 7 7 6 6 6 4 2 2 3 4 4 4 4 2 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 6 8 17 30 46 63 79 95 119 140 155 177 201 230 262 291 311 325 357 410 490 590 675 747 848 963 1032 1010 998 1075 1142 1197 1227 1202 1145 1114 1064 1019 1039 1173 1244 1297 1328 1323 1273 1187 1111 1034 953 889 845 816 839 895 975 962 889 829 853 958 901 988
14 16 22 33 37 38 40 38 37 40 37 32 30 30 30 22 33 36 31 32 46 68 51 38 32 31 27 18 13 10 9 8 7 6 6 5 4 3 3 2 3 2 2 2 2 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 6 12 21 36 53 64 80 97 99 112 131 156 186 219 241 252 271 306 363 454 554 639 745 865 968 994 989 1036 1094 1126 1143 1120 1082 1036 1000 1001 1071 1209 1316 1385 1416 1374 1289 1189 1086 983 902 839 781 745 731 727 831 841 797 745 747 838 862 906
14 17 18 23 28 36 39 39 38 37 31 27 26 29 33 34 36 37 35 37 49 62 52 34 22 21 26 21 17 15 13 10 8 8 8 7 6 4 2 1 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 0 1 1 2 2 2 2 2 2 2 2 2 1 2 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 8 15 32 43 48 59 65 70 81 98 116 139 161 169 177 198 234 303 412 523 637 759 861 920 985 1044 1075 1066 1068 1048 1002 953 940 972 1042 1137 1236 1311 1342 1296 1225 1147 1060 955 876 807 748 708 710 709 756 778 756 691 713 765 815 843
5 11 18 25 25 34 39 39 37 33 28 27 30 37 43 42 39 41 43 44 56 69 62 41 25 27 28 22 16 13 13 11 10 10 9 8 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 1 1 1 1 1 2 2 2 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 10 19 24 29 37 44 50 59 65 76 93 101 102 110 126 168 256 370 497 632 745 835 916 992 1044 1026 1008 982 948 930 929 945 985 1038 1083 1127 1152 1145 1122 1088 1025 937 864 805 757 725 729 732 739 745 742 695 704 752 799 781
2 8 14 21 23 29 36 40 39 31 27 28 35 47 57 58 54 50 46 44 57 75 72 56 44 43 35 22 12 8 11 12 14 13 10 8 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 1 1 1 2 2 2 3 3 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 1 1 2 4 7 11 19 27 31 32 29 41 54 60 63 58 65 91 143 220 339 475 599 705 792 868 943 955 940 928 933 941 925 920 928 939 937 934 952 982 1016 1014 970 913 856 811 779 765 765 763 761 756 740 714 703 719 760 704
7 10 8 17 22 29 36 42 39 31 28 32 42 56 71 74 70 64 59 56 67 84 87 76 69 68 53 30 12 7 7 11 14 11 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 0 0 0 0 0 1 1 2 2 2 2 3 3 3 3 3 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 1 1 1 1 2 4 10 17 26 28 30 33 35 37 48 52 56 61 76 110 205 318 430 533 629 723 806 859 881 880 884 874 870 864 843 825 784 772 790 833 895 918 910 880 833 812 793 782 783 799 806 792 765 730 701 698 685 649
3 4 14 21 25 28 33 42 39 32 29 32 42 57 77 85 86 84 78 73 77 82 78 66 64 65 53 33 16 8 6 7 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 2 2 2 2 2 3 3 3 3 3 3 3 3 2 1 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 4 9 18 30 36 37 35 29 25 32 38 42 47 49 60 112 186 266 357 454 558 654 727 764 768 779 795 806 779 746 718 691 677 685 727 788 836 864 862 819 804 793 785 782 825 837 829 803 763 735 703 664 641
2 8 19 27 28 28 31 37 37 36 35 35 36 54 71 84 93 99 93 86 84 80 73 64 57 53 42 26 14 11 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 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 2 3 3 3 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 7 11 19 26 29 30 26 23 23 25 29 34 36 41 58 90 128 204 293 389 485 566 591 601 621 659 706 685 661 635 612 601 614 656 715 771 801 818 799 784 779 788 796 825 853 864 850 809 772 729 686 673
1 11 23 33 35 30 32 36 38 41 44 49 55 63 69 76 84 94 92 87 83 78 70 59 56 52 42 28 16 10 8 6 5 3 0 0 0 0 0 1 1 1 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 1 2 2 2 2 2 2 2 2 3 4 4 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 1 1 1 2 2 4 6 9 14 26 30 31 28 24 26 27 27 27 31 45 64 105 164 236 323 391 428 449 477 526 587 600 592 573 551 545 561 598 650 706 730 759 766 764 775 782 807 843 874 893 891 865 829 782 735 732
0 5 14 27 35 30 31 36 39 41 44 50 53 60 67 74 77 79 77 76 75 74 71 55 50 48 45 37 23 13 10 8 7 6 4 1 0 0 1 3 3 2 2 2 3 1 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 3 2 2 2 3 4 4 4 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 6 17 25 27 26 22 22 21 18 16 17 27 37 53 79 120 188 244 290 332 373 434 487 517 523 513 502 505 519 541 568 612 665 709 736 738 771 798 823 845 873 904 916 908 886 854 820 813
1 1 4 13 25 30 33 36 39 43 48 52 57 65 70 70 67 65 64 65 65 64 59 53 51 51 51 42 28 20 15 11 8 7 6 3 1 1 3 5 5 5 5 4 3 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 1 1 5 10 15 18 20 16 11 8 7 8 11 17 25 33 40 65 99 133 169 219 265 325 383 431 459 456 458 460 462 466 483 520 573 635 689 700 731 777 822 835 857 887 918 943 939 925 908 899
1 1 1 5 17 28 32 32 36 45 53 63 70 69 64 61 58 57 58 59 58 58 58 56 56 57 58 44 33 26 21 16 13 11 7 2 0 1 5 7 8 8 8 7 6 4 4 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 4 4 4 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 3 6 7 9 7 5 5 5 5 5 7 11 15 25 27 36 49 66 83 122 163 209 263 333 378 402 409 406 393 401 425 466 522 587 630 652 676 725 807 808 821 834 861 921 933 936 934 938
1 1 1 2 8 19 23 25 29 40 55 67 75 74 64 58 53 52 53 55 60 63 65 64 63 63 58 46 38 31 25 19 18 11 4 0 0 1 4 6 8 8 9 9 9 8 6 5 4 4 5 5 5 5 5 5 4 3 1 1 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 4 4 4 3 3 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 1 3 6 6 3 2 2 2 3 4 5 5 5 5 8 13 16 18 21 29 42 63 89 119 161 234 291 326 341 344 330 332 349 391 460 518 563 588 604 634 700 739 760 771 782 827 871 896 909 927
1 1 1 1 1 11 16 19 24 33 51 64 74 76 69 56 49 47 47 47 48 55 59 61 62 60 55 48 40 32 24 23 18 9 2 0 1 1 2 3 3 4 7 9 9 8 7 6 5 5 5 5 6 6 5 4 5 3 2 1 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 3 2 2 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 2 5 8 5 1 0 1 2 3 5 7 8 9 7 10 11 10 10 10 16 23 33 45 64 97 143 191 235 256 262 260 261 270 295 353 408 459 496 512 540 582 626 664 693 719 753 789 821 841 872
1 1 1 1 1 6 11 15 21 36 53 67 80 91 91 67 56 51 49 49 51 53 54 54 56 58 55 51 43 32 22 20 14 6 0 0 0 0 0 0 0 1 4 7 8 7 6 6 5 5 5 4 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 1 1 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 1 3 1 0 1 1 3 3 4 5 7 11 13 14 12 8 5 8 12 15 17 23 38 57 80 109 153 174 182 187 195 208 222 249 290 339 380 403 433 471 513 552 594 629 661 691 722 745 773
1 1 0 1 0 3 8 13 18 29 43 61 81 97 101 101 92 77 69 64 59 58 56 52 51 51 52 53 49 38 27 18 9 4 2 0 0 0 0 0 1 2 4 5 6 7 7 7 6 5 5 4 4 3 3 4 3 1 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 1 2 2 2 3 6 7 7 9 9 4 4 6 7 7 9 14 22 34 48 58 88 107 117 123 135 144 156 169 192 235 273 305 336 369 407 447 490 532 571 609 635 657 692
1 0 0 0 0 2 5 11 17 28 43 58 68 73 65 77 84 82 75 72 66 59 53 49 45 46 50 55 57 50 32 17 6 0 1 0 0 0 0 1 1 2 4 5 5 6 7 7 7 6 6 5 4 4 4 3 3 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 3 2 1 1 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 5 3 2 3 4 1 3 6 9 14 31 38 48 58 68 73 77 84 98 116 133 166 194 219 247 282 317 356 399 443 488 525 553 576 607
1 1 0 0 0 0 3 7 12 23 33 37 37 36 38 45 40 22 35 51 55 54 49 36 34 39 50 65 74 57 29 10 2 0 0 0 0 0 0 0 1 2 4 6 5 7 8 8 7 7 7 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 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 2 3 3 3 1 1 0 0 0 0 1 2 2 3 14 25 31 33 40 45 50 59 76 94 110 125 140 155 177 203 238 277 316 359 402 442 474 501 531
1 1 1 2 4 7 7 5 9 18 17 5 7 11 20 22 14 5 21 25 29 34 33 26 26 31 43 60 65 35 14 4 1 0 0 1 1 0 0 0 1 2 4 5 6 7 7 8 7 7 7 6 5 4 3 3 2 1 0 0 0 0 0 0 0 0 1 2 2 3 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 1 0 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 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 1 0 0 0 0 0 0 0 0 4 11 18 18 23 30 37 47 63 74 84 93 105 118 132 149 177 214 246 277 316 357 394 425 457
1 1 1 2 2 3 5 6 13 27 29 5 3 11 24 37 49 43 19 7 7 12 18 25 25 27 37 48 19 5 1 0 0 0 3 3 3 2 1 2 3 3 4 6 6 7 7 8 8 8 8 7 6 4 4 4 3 2 2 1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 2 2 3 3 3 3 3 4 4 4 4 4 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 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 1 6 7 11 19 26 29 37 45 51 57 70 86 99 113 129 156 183 209 241 281 318 352 386
1 1 1 2 2 3 6 9 17 26 26 13 24 39 57 68 61 27 11 5 5 7 12 15 18 24 32 21 5 0 0 0 0 2 4 5 4 2 2 6 9 9 7 7 7 8 9 9 9 9 9 8 7 6 6 6 5 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 3 4 5 6 6 6 5 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 0 0 0 0 0 1 2 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 5 12 15 17 20 24 30 39 51 57 64 76 88 105 124 148 178 213 248 281 311
1 1 1 1 2 3 5 7 12 14 10 10 19 45 79 99 84 58 36 25 29 40 46 43 36 30 29 10 2 0 0 0 1 1 3 3 3 3 3 7 11 12 11 11 10 9 11 11 10 9 8 7 8 8 8 7 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 6 6 7 7 7 6 5 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 1 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 4 5 8 12 17 21 27 29 32 40 51 61 72 85 102 123 155 187 214 235
1 2 1 1 1 3 5 5 5 6 11 33 57 90 124 141 128 92 69 75 90 102 105 96 74 42 23 9 2 1 0 0 1 1 2 3 4 4 5 7 9 10 11 11 11 9 10 10 10 9 8 8 8 8 8 7 5 5 4 4 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 3 5 6 7 7 7 7 7 7 6 5 2 1 0 0 0 0 0 0 0 0 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 0 1 2 3 4 4 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 2 6 9 11 15 19 24 33 40 46 54 64 75 87 108 130 147 162
1 1 1 1 1 4 6 5 6 14 45 80 112 139 154 158 135 98 97 127 109 107 121 133 129 102 60 25 6 2 2 2 2 2 2 3 4 5 6 7 8 10 10 9 9 9 9 9 9 9 8 8 8 8 7 6 5 4 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 4 6 8 8 9 8 8 7 5 5 4 2 0 0 0 0 0 0 0 1 2 3 3 2 2 2 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 8 15 23 28 30 36 48 57 66 77 91 101 108
1 1 1 1 1 4 7 12 25 55 108 115 111 113 125 125 104 74 54 55 57 64 87 115 132 121 90 48 16 8 5 5 5 5 4 6 6 7 8 8 8 9 9 9 9 9 10 10 10 9 9 10 9 8 6 5 4 3 3 2 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 3 7 8 9 9 9 8 7 6 4 5 4 2 1 0 0 0 0 1 2 3 4 5 4 2 0 1 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 1 1 0 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 11 12 15 23 33 43 51 58 63 70
2 1 1 1 3 7 11 18 34 72 109 107 86 63 50 53 49 40 32 35 44 45 50 65 92 119 126 107 73 45 31 23 17 15 13 12 11 12 12 10 11 10 10 10 10 10 10 10 10 10 11 11 10 8 7 6 6 6 4 3 1 1 1 1 1 1 1 1 0 1 1 1 1 2 2 5 8 10 11 11 10 9 8 7 4 4 3 2 1 0 0 0 1 2 2 6 6 6 5 3 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 0 0 0 1 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 5 14 21 26 31 37 45
1 1 2 2 6 10 12 15 19 36 57 63 55 43 38 22 15 19 26 39 54 57 49 42 45 59 91 120 124 111 99 88 76 56 46 35 27 22 20 19 17 16 15 14 13 11 10 10 10 10 10 11 10 10 11 10 10 8 6 2 1 1 1 1 2 2 2 1 0 1 1 1 1 0 1 4 9 13 14 13 13 12 12 11 7 5 4 3 2 1 0 0 1 3 6 7 7 7 6 4 3 2 1 3 4 4 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 1 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 15 18 22 28
1 2 5 7 9 12 13 11 11 14 18 18 17 17 24 25 26 28 30 50 71 80 72 53 31 25 36 56 82 98 110 121 130 113 98 90 76 52 44 40 36 34 32 27 24 21 18 16 13 14 13 12 12 12 14 12 10 7 4 2 1 1 1 1 2 2 2 1 0 0 0 1 0 1 1 4 9 14 14 14 14 15 14 13 10 7 5 5 4 2 1 0 0 2 5 7 8 7 6 5 4 3 2 4 5 5 5 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 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 7 9 13 21
1 3 8 12 15 16 14 14 15 16 16 16 18 18 25 31 33 27 28 44 59 67 66 50 30 23 26 31 43 63 77 89 105 101 98 98 93 74 67 63 58 53 51 50 47 44 40 31 27 23 20 17 15 15 15 13 10 6 3 2 2 2 2 2 3 3 2 1 0 0 0 0 0 0 2 5 9 12 13 14 15 16 16 15 14 12 8 7 5 2 1 0 0 2 6 8 8 7 6 6 6 5 5 5 6 6 5 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 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 2 6 12
3 7 12 16 18 18 19 23 25 27 27 25 21 18 16 16 15 14 20 26 33 39 41 27 28 38 48 54 54 63 70 72 71 65 64 61 54 53 55 57 57 51 50 52 52 54 56 55 46 36 27 22 22 22 22 19 14 10 7 6 5 5 4 4 5 4 3 1 1 1 0 0 1 0 2 5 9 13 14 15 16 18 17 16 16 15 12 9 6 4 2 1 2 5 8 9 9 7 7 6 5 6 6 7 7 7 5 4 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 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 3 7
5 10 15 18 18 19 23 30 32 35 35 24 16 12 11 11 12 17 19 19 18 17 21 21 29 46 70 92 78 63 54 44 35 24 22 23 21 19 19 26 34 35 37 37 39 45 45 50 47 40 32 27 34 41 43 38 29 24 21 19 17 12 8 6 6 6 5 4 2 1 1 1 2 2 3 6 10 14 16 17 17 17 19 19 18 17 15 11 8 5 4 3 4 8 12 11 10 8 7 7 5 6 6 7 8 7 6 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 1 2 5 6 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 7 3 3
4 10 17 20 19 16 17 28 28 23 16 9 8 9 10 11 13 17 19 19 16 11 12 16 23 38 67 81 68 48 33 19 11 5 3 2 4 5 9 12 14 20 23 22 23 31 36 38 38 35 32 29 38 52 64 64 54 46 42 40 34 21 13 10 8 8 6 4 3 2 2 3 4 5 6 8 10 12 14 15 15 16 18 19 18 17 16 13 10 8 6 5 8 13 16 13 11 9 8 7 6 6 6 7 8 7 6 5 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 1 2 2 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 3 7 5 2
2 10 16 19 20 18 17 21 17 11 7 7 7 8 8 9 11 14 15 13 13 12 13 15 20 29 45 45 36 26 20 10 5 2 2 2 2 2 2 4 6 8 9 14 20 22 26 30 31 30 29 28 35 44 51 57 52 49 48 47 37 27 19 14 12 13 8 5 4 3 4 5 6 7 8 8 9 9 10 13 16 18 20 21 19 17 17 16 13 11 9 9 11 16 17 15 13 11 9 8 8 7 7 7 7 7 7 6 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 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1
0 7 12 15 19 22 26 20 13 9 9 8 8 9 10 11 13 14 15 15 17 19 22 25 29 35 36 32 24 15 7 2 0 0 1 2 2 2 3 3 4 4 4 6 10 14 22 26 25 23 24 26 31 35 29 25 28 35 42 39 33 28 25 20 16 15 13 10 7 6 6 7 9 10 8 7 7 8 10 14 18 21 20 18 17 18 18 18 16 14 12 12 13 17 18 17 15 14 11 10 8 7 7 7 6 6 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 4 8 14 20 25 21 15 10 10 10 12 13 14 16 18 18 19 21 23 27 31 35 40 41 39 34 26 16 8 3 2 2 0 1 2 2 3 2 3 2 2 2 4 7 12 15 13 12 13 15 18 22 21 21 25 33 40 35 34 34 33 35 25 19 16 13 11 11 11 11 11 10 8 7 7 8 10 14 18 20 19 17 20 22 21 19 17 14 11 10 12 16 19 20 18 15 13 11 10 7 7 6 7 8 8 7 6 4 3 1 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 1 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 2 6 12 16 16 14 11 12 15 16 16 14 17 19 21 22 25 26 29 31 35 40 43 42 37 28 18 11 6 4 3 1 1 2 2 3 3 2 2 2 2 2 2 2 4 5 6 7 7 8 13 16 20 25 31 31 29 28 27 25 30 26 22 20 18 16 15 14 13 12 10 8 7 8 9 11 14 17 19 19 18 19 19 18 15 13 11 8 7 9 13 17 21 20 17 14 12 12 8 6 6 6 8 7 7 6 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 0 0 0 0 0 0 2 3 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0
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