Vorticity
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nan 9 9 8 6 4 3 5 8 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 5 5 7 9 9 8 8 7 7 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 9 9 10 10 10 11 12 14 14 13 12 10 7 6 5 5 5 4 4 4 5 6 7 8 11 14 15 14 12 11 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 6 4 4 nan
nan 9 8 6 4 3 3 6 11 13 12 11 10 9 9 9 8 8 7 7 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 6 5 5 7 8 8 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 11 12 12 11 11 11 12 13 13 13 11 10 8 7 7 7 7 6 6 6 7 7 6 6 9 13 14 15 15 16 16 16 16 15 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 9 8 6 4 nan
nan 8 5 5 5 5 6 9 13 14 12 10 9 9 8 8 8 8 7 7 8 8 8 7 7 6 5 5 5 6 7 7 8 8 7 7 7 7 8 8 8 8 7 6 6 7 9 8 8 7 7 7 8 9 9 9 9 10 10 9 9 9 9 10 10 9 9 9 10 12 13 13 13 12 12 11 10 9 9 9 8 8 8 8 8 8 8 9 10 10 7 5 5 6 8 10 13 17 20 22 22 20 17 14 12 11 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 8 6 nan
nan 7 6 7 7 7 7 9 13 13 11 9 9 9 8 8 8 7 7 7 8 7 6 4 3 2 2 3 4 5 6 6 6 5 5 6 8 8 8 8 8 7 7 7 8 10 11 10 10 8 7 7 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 11 12 13 14 14 14 13 12 10 10 9 8 8 8 8 8 8 8 9 10 11 9 7 6 6 5 5 7 10 14 17 19 19 18 15 13 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 7 nan
nan 8 7 7 7 6 6 9 13 12 11 9 9 8 8 7 7 7 7 7 6 4 3 2 1 1 2 4 6 6 6 5 5 5 6 9 10 10 9 9 8 8 8 9 10 11 12 12 11 10 9 9 10 10 9 9 8 7 6 7 9 9 9 9 9 10 10 11 11 11 12 13 14 15 14 13 12 11 10 9 8 8 8 8 8 9 10 11 11 8 7 7 8 7 7 7 9 11 12 12 12 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 11 9 nan
nan 8 7 5 4 5 7 11 13 12 11 9 8 7 7 6 6 7 8 7 5 2 2 4 4 5 7 9 10 9 7 7 7 9 12 14 13 11 10 9 9 10 9 9 10 10 11 11 11 10 11 12 12 10 8 7 5 4 5 7 8 7 7 8 10 11 11 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 8 8 9 10 12 13 11 9 8 8 9 9 8 8 8 9 9 8 7 8 10 13 15 15 13 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 10 nan
nan 8 5 3 4 7 10 12 12 12 10 8 7 6 6 6 6 7 7 5 2 2 5 7 8 9 11 13 13 11 10 9 10 11 13 14 12 10 9 9 8 8 8 9 9 9 9 10 10 10 11 12 11 9 7 5 5 6 8 8 7 6 7 9 12 12 12 12 12 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 10 8 8 9 9 9 9 8 8 8 8 7 7 8 10 14 16 16 15 13 11 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 10 10 9 9 9 10 10 10 nan
nan 7 5 5 7 11 12 11 11 11 10 8 6 7 7 6 6 5 4 2 1 4 6 8 10 11 13 13 13 11 10 10 10 10 11 10 10 9 8 8 7 7 8 9 9 10 9 9 9 9 10 9 9 8 8 9 10 12 12 11 9 8 10 12 12 11 12 12 13 13 13 12 11 10 9 9 8 8 8 8 8 9 11 12 12 12 11 9 7 7 8 9 9 9 9 9 9 8 8 8 7 8 10 11 13 14 15 15 14 12 11 10 9 9 9 10 11 11 12 12 12 13 12 12 12 11 10 9 8 8 8 9 10 10 nan
nan 7 7 7 10 12 11 9 9 11 10 8 7 8 8 6 4 3 3 3 5 7 7 8 9 10 10 10 10 10 10 10 9 10 11 10 9 8 7 7 7 8 9 10 10 10 9 8 8 8 8 8 7 8 9 11 13 13 13 12 11 12 13 12 10 9 11 13 14 13 12 11 10 9 9 8 8 8 7 7 7 9 11 12 13 12 9 7 6 7 8 9 9 9 9 10 10 10 8 7 7 7 8 8 9 11 13 15 15 15 13 12 12 12 12 13 13 13 13 13 12 12 12 11 10 10 9 8 7 7 8 8 9 10 nan
nan 7 7 9 10 10 8 7 8 10 10 8 8 8 7 5 4 5 6 7 8 8 7 7 8 8 7 8 10 11 11 10 11 12 12 10 8 7 7 7 8 9 9 10 10 9 8 8 8 8 8 7 8 8 9 10 11 11 11 12 12 13 14 12 11 11 13 14 14 13 12 10 9 8 8 8 8 8 6 5 6 7 10 11 12 10 9 8 8 8 9 9 9 10 11 12 12 10 7 6 6 6 6 6 6 7 9 11 13 15 16 16 17 18 18 17 15 13 12 11 11 10 10 10 9 9 8 8 7 7 7 8 9 10 nan
nan 7 8 9 9 8 6 5 7 9 9 9 8 6 5 4 4 6 7 8 9 8 8 8 8 8 9 11 12 12 10 10 11 12 12 10 8 7 7 8 7 7 8 9 9 9 8 8 9 9 8 8 9 9 9 9 9 9 10 11 12 14 15 15 16 17 17 15 12 11 10 9 8 7 8 9 9 8 6 5 6 8 9 10 10 9 9 10 10 10 10 9 10 10 11 11 10 8 6 5 5 5 5 5 4 5 6 8 11 13 15 17 19 19 19 18 15 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 nan
nan 7 8 9 8 6 5 5 7 8 8 8 7 5 4 5 5 7 8 8 8 8 8 8 8 8 10 12 12 10 9 9 10 10 10 9 8 7 8 8 7 7 8 8 9 9 8 9 9 9 9 9 9 9 9 9 8 8 9 11 14 15 16 17 18 18 16 12 9 8 8 8 8 8 9 10 9 8 7 7 8 9 9 9 9 9 10 11 12 12 11 11 10 10 10 9 7 6 6 6 6 6 6 5 5 6 7 8 9 10 11 13 14 14 12 10 8 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 10 10 nan
nan 8 9 9 7 6 6 7 7 6 7 7 7 6 6 7 7 8 9 9 8 8 8 8 8 8 9 10 9 8 8 9 9 9 9 9 8 8 8 8 7 7 8 9 9 9 8 8 9 9 9 9 8 9 9 8 8 9 10 12 14 15 15 15 14 12 9 7 5 5 6 7 8 9 10 10 8 7 7 8 9 9 9 9 9 9 10 11 12 12 12 12 12 11 10 8 6 6 7 8 8 7 7 6 6 7 8 8 8 8 8 9 9 8 6 2 1 3 5 5 6 7 7 8 9 9 10 10 10 10 10 10 10 10 nan
nan 8 8 8 7 8 8 7 5 5 6 8 8 8 8 9 10 10 9 8 7 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 10 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 12 12 12 11 10 7 4 2 2 3 4 5 6 8 9 10 8 7 7 9 10 10 9 9 9 9 10 10 10 10 11 12 12 12 11 10 8 7 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 7 6 3 1 2 4 6 7 8 9 10 10 11 11 11 12 12 11 11 10 10 9 nan
nan 8 8 9 9 9 8 6 4 3 6 8 9 9 10 10 10 9 7 7 7 7 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 9 8 7 5 3 1 0 1 3 5 5 6 6 8 8 8 9 10 10 10 9 9 10 11 11 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 6 7 8 8 7 5 3 4 7 10 12 12 12 12 12 13 13 13 13 13 12 12 12 11 9 8 nan
nan 8 9 10 10 8 6 3 3 4 6 8 10 11 11 10 8 6 6 7 8 8 9 9 9 9 8 9 10 11 10 8 8 9 10 9 10 10 9 9 9 9 9 8 8 9 9 9 9 8 8 9 8 9 9 9 9 8 8 7 7 6 5 4 4 4 4 6 7 8 7 7 7 8 9 10 10 10 9 8 8 10 12 13 12 11 10 10 9 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 8 6 5 6 7 8 7 7 6 7 10 14 17 18 17 16 15 14 14 14 14 13 13 13 12 11 10 9 8 nan
nan 8 9 9 7 5 4 3 4 6 7 10 12 12 11 9 8 7 8 9 8 8 9 10 9 9 8 9 10 10 8 6 8 11 11 10 9 8 8 8 9 8 7 6 7 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 5 5 5 6 6 7 8 10 10 10 10 10 10 11 11 10 9 7 6 6 9 12 14 13 11 10 10 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 7 6 6 6 7 7 8 9 12 17 20 20 19 18 18 18 16 15 14 13 13 12 12 11 11 10 9 8 nan
nan 8 8 8 6 5 5 6 7 8 9 11 13 13 11 9 8 9 8 7 6 6 8 9 8 8 9 11 12 11 8 8 10 11 11 10 8 7 7 9 9 9 8 8 10 11 10 9 8 8 8 8 8 9 8 8 7 7 6 6 5 5 6 7 8 8 9 9 10 10 11 12 12 12 11 9 7 5 6 9 11 13 12 10 9 9 8 7 7 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 6 7 7 8 10 13 15 16 16 15 16 18 17 15 13 11 11 10 10 10 10 9 9 8 8 nan
nan 8 7 7 7 7 7 7 8 9 11 13 13 12 11 9 9 8 7 5 4 5 7 7 8 9 11 12 14 13 11 11 10 10 9 8 7 8 10 11 10 10 10 12 14 13 11 9 7 6 7 8 9 9 9 8 8 7 7 7 6 7 8 8 7 8 8 8 9 10 10 10 11 11 10 8 6 6 8 11 11 9 7 6 6 6 6 7 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 11 12 13 13 12 10 8 7 7 7 8 8 8 8 9 9 nan
nan 8 7 7 7 8 8 8 8 9 12 13 13 12 10 9 9 8 6 5 5 6 8 8 9 10 12 13 14 14 12 11 10 9 8 7 7 9 11 11 11 11 12 14 14 13 11 9 7 8 9 9 9 9 9 8 8 9 8 8 8 9 9 8 8 7 7 8 8 9 9 10 10 10 8 6 5 7 10 12 10 7 6 6 6 5 5 7 8 9 9 9 10 10 11 12 13 12 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 7 7 7 6 6 6 7 6 5 5 4 4 5 6 7 8 8 9 9 nan
nan 8 8 7 8 8 8 8 8 9 11 11 11 10 9 8 7 6 4 4 6 8 10 10 11 12 13 13 14 12 10 9 10 11 11 10 10 11 11 10 10 11 12 12 11 11 10 10 10 11 10 9 8 7 7 7 7 7 7 7 8 9 8 8 8 7 8 8 9 9 9 10 11 10 9 7 7 9 12 12 11 10 9 10 9 8 7 8 8 8 8 8 9 10 11 12 13 12 12 11 11 11 11 10 10 10 10 10 11 12 11 11 10 9 9 8 6 4 2 0 -1 -1 -1 1 3 4 4 5 7 8 9 9 8 8 nan
nan 8 8 8 8 8 8 8 8 9 10 10 9 9 8 7 5 4 3 5 8 12 12 11 12 13 13 12 11 8 6 7 10 12 12 11 12 12 11 10 10 11 10 10 9 9 9 10 11 10 8 6 5 4 4 4 4 4 4 4 5 5 6 7 8 8 8 8 9 9 9 10 10 10 10 9 10 12 13 13 13 13 13 14 13 12 12 11 9 9 8 8 9 9 11 12 11 11 11 11 12 12 11 11 11 10 10 11 12 13 12 10 9 9 9 9 6 3 1 -0 -1 -2 -1 2 5 6 6 7 8 9 9 8 7 6 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 6 5 5 8 11 12 10 9 10 10 9 7 5 5 6 8 11 12 11 11 12 12 11 11 11 11 10 9 8 8 8 8 9 9 9 8 7 6 5 5 4 3 3 2 2 3 4 6 7 8 8 8 8 9 9 9 10 10 9 9 11 12 13 14 13 13 14 15 15 15 14 13 12 11 10 9 8 8 9 9 9 10 11 11 12 12 12 12 11 10 10 11 12 11 10 8 8 8 8 7 7 7 7 7 7 6 7 8 8 8 8 8 8 8 8 7 6 5 nan
nan 8 8 8 8 8 8 8 9 9 8 9 11 12 11 9 7 6 6 9 10 8 6 6 6 6 5 5 5 7 11 14 15 13 11 11 12 11 11 11 11 10 9 8 7 7 8 8 9 10 11 11 11 11 11 11 9 8 8 7 6 5 6 7 8 8 8 8 8 8 8 9 9 8 8 8 11 12 13 13 12 12 13 14 14 14 13 13 13 14 12 10 8 8 8 8 9 10 11 11 12 12 12 12 11 11 12 11 10 8 7 7 8 8 7 7 8 10 13 14 14 12 11 10 10 9 9 8 7 7 6 5 5 4 nan
nan 8 8 8 8 8 8 9 9 8 9 11 13 14 12 9 7 5 6 7 7 5 5 4 4 4 5 8 11 13 15 15 14 12 11 12 12 11 10 9 10 9 8 7 7 7 8 9 10 11 11 11 11 12 13 13 13 13 13 13 12 11 10 9 8 8 8 9 8 8 8 8 8 7 7 9 10 11 11 11 10 11 11 12 12 12 12 12 14 13 12 11 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 10 8 7 7 9 10 10 9 9 10 11 13 14 13 11 10 9 9 9 8 7 6 6 5 5 4 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
12 9 11 14 12 12 12 15 21 28 35 38 38 36 35 37 40 44 45 43 42 41 41 41 41 41 40 40 39 39 39 39 38 38 38 37 35 31 27 24 23 23 26 27 23 22 20 18 17 15 10 7 6 7 10 8 8 7 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 3 7 13 17 24 38 49 58 66 76 87 96 92 84 79 90 57 39 68 236 561 996 1426 1695 1793 1854 1714 1385 1116 1100 1285 1503 1648 1673 1585 1440 1238 1047 1082 1242 1135 964 895 926 1037 1338 1647 1603 1455 1304
7 7 7 9 9 11 12 11 13 17 23 29 34 35 33 34 36 38 40 39 37 37 37 37 37 37 37 37 37 37 38 38 38 38 38 38 37 35 33 30 28 25 27 27 24 22 19 17 15 12 8 5 5 7 9 7 5 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 1 3 7 9 16 28 38 49 60 74 88 92 84 80 72 73 66 59 58 79 209 534 1013 1472 1804 2011 1934 1627 1213 1035 1089 1292 1531 1646 1554 1420 1270 1285 1263 1392 1392 1106 882 954 1181 1413 1478 1434 1358 1281
2 2 2 3 3 4 7 9 11 13 15 17 23 28 31 32 33 34 34 34 33 33 32 32 33 34 33 33 33 34 35 36 37 37 37 37 36 36 37 36 33 28 27 27 26 23 20 16 13 11 8 8 7 9 7 5 4 4 3 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 1 3 5 9 17 27 39 49 59 65 65 71 74 69 68 67 67 70 70 100 236 540 1004 1515 1922 1933 1742 1437 1154 1024 1127 1440 1721 1600 1388 1276 1217 1256 1422 1499 1286 1000 1017 1360 1682 1485 1332 1242 1203
1 0 1 1 1 1 2 4 8 11 12 12 14 18 23 26 29 29 29 30 30 30 29 29 29 29 29 29 30 31 32 33 34 36 37 37 36 36 37 39 35 32 30 28 27 26 23 19 16 12 11 14 12 8 4 3 3 3 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 3 5 9 16 27 41 48 57 71 78 74 65 61 62 68 77 83 86 109 211 495 966 1416 1671 1736 1599 1353 1113 1042 1296 1696 1700 1585 1442 1254 1170 1289 1420 1361 1171 1061 1155 1520 1396 1254 1169 1123
0 0 0 0 0 0 0 2 3 6 9 10 12 14 15 16 19 21 22 23 23 24 26 26 27 27 27 27 28 28 29 30 31 33 35 36 35 35 36 37 37 36 33 29 27 29 28 24 23 16 10 8 5 4 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 2 3 5 8 15 27 38 50 65 74 77 67 56 56 66 78 87 93 93 97 198 481 853 1218 1509 1653 1581 1341 1132 1204 1496 1741 1846 1743 1448 1199 1187 1303 1358 1297 1177 1095 1216 1222 1174 1118 1061
0 0 0 0 0 0 0 2 2 3 5 7 11 13 14 13 13 14 16 17 18 19 19 21 21 23 23 23 24 25 26 27 28 29 31 32 33 33 34 34 36 37 35 31 29 30 29 24 20 13 9 5 5 3 2 2 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 0 0 0 0 0 0 0 0 1 3 5 9 16 26 39 50 63 75 73 62 59 65 73 83 92 100 95 109 211 431 779 1215 1534 1653 1629 1461 1309 1347 1583 1828 1877 1676 1359 1165 1172 1266 1299 1194 1123 1121 1128 1122 1115 1085
0 0 0 0 0 0 1 1 2 3 4 6 8 10 12 13 12 12 12 13 15 15 15 16 17 18 17 18 19 20 22 24 25 26 27 29 30 31 31 32 33 34 34 32 31 31 28 21 18 13 10 7 5 5 4 3 3 2 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 1 3 4 7 11 18 28 39 56 70 74 72 67 64 73 82 89 96 100 99 114 178 348 653 1017 1425 1721 1772 1485 1323 1431 1633 1775 1765 1542 1205 1063 1124 1183 1170 1134 1124 1115 1097 1094 1066
0 0 0 0 0 0 0 0 0 2 3 5 7 8 10 10 11 12 11 11 11 10 10 11 13 13 13 14 15 16 17 19 20 22 24 25 27 29 30 32 31 30 30 30 29 29 27 19 19 14 10 7 6 5 5 4 3 2 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 1 3 5 7 11 15 22 32 45 59 71 79 75 69 77 82 85 90 101 113 114 108 149 309 611 980 1398 1700 1606 1405 1366 1464 1653 1827 1682 1346 1130 1085 1126 1130 1108 1129 1131 1092 1060 1033
0 0 0 0 0 0 0 0 0 0 1 2 4 8 9 9 7 8 9 10 11 11 11 8 9 8 9 11 12 13 14 15 16 17 18 17 23 25 27 28 28 27 27 27 25 25 24 19 18 14 12 10 8 6 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 0 0 0 0 0 0 0 0 1 4 6 10 14 20 27 37 49 65 81 83 78 79 86 88 87 96 113 120 106 93 144 303 528 855 1182 1342 1388 1423 1434 1506 1857 1801 1577 1328 1167 1114 1083 1047 1113 1146 1095 1045 1013
0 0 0 0 0 0 0 0 0 0 2 1 1 3 5 8 10 9 7 6 7 7 10 9 8 8 8 8 9 9 10 12 14 14 14 14 16 19 21 23 23 22 22 21 21 20 19 17 16 14 12 11 10 7 7 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 2 4 5 8 11 15 21 28 41 59 76 85 84 82 87 92 91 91 99 109 107 91 85 164 294 464 663 886 1154 1382 1457 1516 1757 1883 1801 1558 1334 1228 1134 1049 1094 1110 1083 1045 1033
0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 5 9 11 8 6 5 5 6 7 7 7 7 7 7 8 9 10 12 13 14 14 15 15 16 16 16 17 16 16 16 14 14 14 14 12 11 11 8 8 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 2 3 5 6 8 9 11 16 18 33 51 71 84 84 80 80 88 94 89 88 95 105 96 85 105 164 261 396 559 823 1166 1435 1566 1681 1821 1830 1643 1456 1362 1212 1078 1095 1059 1045 1046 1044
0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 5 7 8 8 6 4 4 5 5 6 6 6 6 6 7 9 10 11 12 13 14 14 14 14 14 13 12 12 11 11 11 12 12 11 11 9 8 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 1 2 2 3 4 5 6 7 8 9 10 14 15 23 37 62 78 80 78 75 74 77 86 85 84 92 93 88 83 93 145 268 377 544 829 1164 1467 1614 1671 1695 1568 1436 1346 1258 1158 1103 1036 1024 1056 1058
0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 4 3 3 4 6 6 6 4 4 3 3 4 5 6 7 6 6 7 7 8 9 10 10 11 10 10 11 10 9 7 7 8 8 10 11 11 10 9 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 2 2 4 5 7 7 7 8 8 9 10 12 13 15 21 41 64 80 86 79 71 71 82 82 79 80 84 85 79 68 80 182 291 405 539 788 1210 1527 1583 1590 1470 1321 1229 1215 1164 1078 1018 1023 1060 1097
0 0 0 0 0 0 0 0 0 0 2 2 2 3 3 4 4 4 4 5 5 5 5 6 6 5 4 3 3 3 4 5 6 6 6 6 6 5 5 7 7 6 7 7 7 5 3 3 4 6 8 9 10 9 9 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 1 2 3 5 7 10 10 9 9 10 10 10 11 11 13 15 25 43 66 88 89 80 73 74 74 71 69 69 75 79 64 62 112 202 321 397 499 797 1221 1486 1575 1469 1293 1177 1152 1118 1046 991 1008 1045 1152
0 0 0 0 0 0 0 0 0 0 2 2 2 3 3 4 5 5 5 6 6 6 6 5 5 5 4 3 3 3 2 3 5 6 6 6 5 4 3 3 3 2 3 3 3 2 1 1 2 3 5 7 8 9 8 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 2 5 8 11 13 13 13 14 14 11 10 10 11 12 15 18 25 41 62 82 84 77 72 67 65 64 62 65 74 71 64 68 106 212 316 369 525 843 1196 1458 1479 1373 1244 1145 1082 1033 987 973 990 1084
0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 4 5 6 5 5 5 5 5 4 4 4 4 4 3 3 3 2 4 5 5 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 2 5 5 7 7 5 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 3 7 11 14 16 16 17 17 15 14 13 12 12 12 14 15 17 27 41 59 72 77 74 67 61 56 53 57 64 71 71 63 68 126 233 312 374 499 832 1208 1423 1472 1385 1225 1088 1029 1019 965 925 992
0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 3 3 4 5 5 5 4 3 3 3 4 3 3 3 2 2 2 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 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 2 4 7 11 14 16 18 19 20 18 17 17 16 14 13 13 13 15 19 27 40 55 67 73 72 64 55 50 52 57 65 69 66 63 80 133 256 359 370 575 901 1260 1519 1543 1375 1190 1060 1029 987 917 932
0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 4 4 4 4 4 3 3 4 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 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 3 5 7 11 13 15 18 20 21 20 20 20 20 18 15 13 12 13 15 17 22 34 50 64 70 68 60 48 43 48 56 61 60 57 63 76 213 331 358 427 609 923 1313 1559 1528 1349 1162 1064 1020 950 900
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 4 4 5 4 4 4 4 4 3 3 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 7 9 11 12 16 19 21 22 22 23 22 21 19 16 14 11 11 13 15 16 22 34 47 57 67 63 52 42 40 45 52 59 51 55 69 196 322 392 411 442 610 937 1312 1511 1476 1290 1139 1066 1005 943
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 4 3 2 2 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 0 0 0 0 2 5 9 13 15 17 21 23 25 24 22 22 22 21 19 16 15 12 10 11 13 14 17 23 31 41 56 61 58 49 41 39 42 53 51 56 69 123 232 351 400 369 429 611 916 1252 1436 1373 1223 1115 1046 1017
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 1 1 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 0 0 0 0 0 0 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 13 17 20 23 25 26 27 26 22 21 22 21 19 17 15 14 12 12 12 13 15 18 21 28 40 50 54 51 46 41 40 45 50 57 74 87 129 231 322 358 382 430 592 901 1183 1297 1252 1140 1045 1062
0 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 0 0 0 0 0 0 0 0 0 0 0 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 9 14 19 22 25 26 26 27 26 24 25 27 24 21 19 17 15 14 13 12 12 14 17 18 21 26 35 44 52 52 50 47 47 49 53 71 95 105 143 214 305 367 399 499 696 931 1115 1187 1126 1032 1031
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 17 20 23 25 27 28 28 27 26 28 31 30 26 23 20 18 16 14 13 12 13 16 18 18 19 22 30 38 49 55 56 56 55 56 65 87 107 119 146 208 286 348 418 542 727 915 1018 1015 984 978
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 20 23 26 28 29 29 30 30 31 31 31 29 26 24 21 19 18 16 16 16 17 17 18 18 18 22 29 41 54 61 64 65 65 71 88 111 119 131 160 213 274 342 435 576 731 834 912 942 948
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 15 19 23 26 29 32 33 33 30 28 29 30 29 29 27 23 21 19 18 18 18 18 17 17 17 17 20 24 31 45 58 66 75 81 79 81 104 118 131 149 177 218 272 360 487 606 722 823 896 936
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 14 19 23 27 30 34 35 35 33 31 29 28 29 30 28 25 23 22 21 21 21 20 18 16 16 18 19 22 27 38 52 64 75 87 81 80 95 116 132 139 154 183 218 294 406 521 636 725 779 859
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 12 17 22 25 29 33 35 37 37 35 32 28 28 27 26 25 24 23 23 22 23 22 20 16 14 17 20 25 30 37 50 61 70 81 80 79 90 113 131 128 134 144 172 231 308 406 531 639 690 755
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 15 20 23 27 32 37 39 40 39 36 31 28 26 26 27 27 26 24 23 22 23 21 17 14 15 20 27 33 39 50 60 73 81 82 80 86 107 120 116 117 122 139 165 209 296 423 559 667 695
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