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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 7 6 4 3 3 4 6 6 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 12 16 18 17 14 12 11 9 7 6 7 10 14 16 17 16 16 15 14 13 12 13 15 18 20 18 12 5 -1 -2 -0 2 3 5 5 6 5 4 2 1 1 2 4 7 8 8 5 2 0 2 5 8 8 8 11 12 11 9 11 14 13 9 6 6 6 5 4 3 5 9 10 9 8 9 9 8 7 5 6 6 6 4 2 2 3 4 3 2 0 1 3 5 4 4 6 9 10 8 7 8 10 8 4 1 3 6 8 6 1 -3 -2 4 8 8 7 6 7 10 14 16 17 17 17 16 15 13 11 nan
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nan 1 -1 2 6 9 11 12 12 12 11 13 13 11 9 6 6 9 11 11 9 7 5 6 9 12 15 16 16 16 17 16 16 15 13 12 12 11 12 12 12 12 12 11 11 12 12 11 10 9 8 9 9 9 8 7 8 10 11 12 13 14 15 16 15 13 10 8 8 9 12 12 11 9 7 6 5 5 7 10 13 14 14 14 14 14 14 14 13 13 13 11 8 5 4 4 8 13 19 22 20 15 14 14 14 13 13 12 12 13 15 16 16 17 16 16 15 15 17 20 19 15 11 7 6 5 6 9 12 13 13 12 11 11 10 7 5 6 10 14 16 17 17 16 13 9 7 8 9 9 10 9 8 5 5 6 7 9 14 18 21 22 23 23 23 23 21 18 14 11 10 11 12 12 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 nan
nan 2 2 6 10 12 13 12 12 11 11 13 13 10 7 5 6 7 9 9 8 8 8 9 12 15 17 16 15 15 14 14 13 12 12 12 12 11 11 10 10 10 11 11 12 12 11 9 7 7 8 9 9 8 6 6 7 10 13 14 14 15 15 17 17 14 10 7 5 6 9 12 12 11 9 7 5 5 6 9 14 17 18 17 15 14 13 13 12 12 12 11 9 7 5 4 6 10 17 21 19 14 12 12 12 13 14 14 16 18 19 20 21 22 22 20 18 14 13 13 13 11 8 6 5 4 4 6 9 10 11 12 13 13 10 6 6 10 16 19 19 17 16 16 14 10 5 3 4 5 6 6 5 4 4 6 7 11 15 17 19 19 19 20 22 22 20 17 13 11 10 10 11 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
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nan 13 13 13 13 12 10 9 9 10 11 12 13 11 9 7 5 3 3 3 4 6 8 9 9 9 9 9 10 12 12 11 9 7 6 7 7 7 7 7 9 11 12 13 12 10 6 4 3 3 5 7 9 11 12 13 13 12 11 9 8 7 8 11 12 12 10 5 2 2 3 6 7 6 6 5 4 3 3 5 9 12 14 15 16 16 16 16 16 15 14 13 14 15 16 14 11 8 7 8 8 7 8 11 14 17 17 15 14 14 14 13 11 10 8 6 4 2 0 -1 1 4 5 6 5 6 7 9 10 11 12 13 15 16 14 11 8 6 6 7 8 8 8 7 8 10 13 14 14 12 9 5 4 7 9 10 10 11 12 12 12 12 12 12 13 12 10 8 8 8 9 10 11 12 12 11 10 9 8 8 9 9 9 10 10 10 10 9 9 9 nan
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nan 12 9 7 8 10 12 14 15 15 14 13 12 13 12 11 10 8 6 5 5 6 7 8 9 9 8 7 7 8 8 9 9 10 12 13 14 13 11 9 8 9 10 12 11 9 7 5 5 6 9 12 16 17 15 13 12 11 10 10 9 8 8 8 9 10 9 8 6 4 4 6 8 8 8 7 6 5 5 6 8 10 10 11 11 12 14 16 17 18 18 19 19 18 17 15 13 13 12 9 7 5 5 7 10 13 13 10 6 3 3 4 5 5 3 0 -3 -2 -1 1 3 5 6 7 8 9 10 11 11 11 10 10 10 12 13 14 14 14 12 11 10 10 9 9 9 11 13 13 10 7 5 6 9 12 14 14 12 10 7 6 7 9 11 12 12 11 10 8 8 9 9 10 10 10 10 9 9 8 9 9 10 10 10 11 11 11 12 12 12 11 nan
nan 10 6 5 7 9 12 14 16 17 15 14 14 14 14 12 10 8 7 6 6 6 6 7 8 8 8 8 8 9 9 8 8 9 10 13 15 15 13 11 9 8 10 11 11 9 7 6 6 9 12 15 17 17 14 12 11 10 10 10 9 8 7 7 8 9 10 10 9 6 5 5 7 8 8 7 5 4 4 5 8 10 11 11 11 11 12 14 16 18 19 17 14 10 7 5 5 6 6 5 5 5 5 6 7 8 9 7 3 0 -2 -1 1 1 1 2 2 4 5 7 7 8 8 9 9 9 9 9 10 10 10 10 11 13 14 16 16 16 14 12 10 10 10 11 11 12 13 12 10 8 8 10 13 14 15 14 11 7 3 3 5 7 9 10 11 11 11 10 9 9 10 10 10 10 10 9 9 8 9 9 10 10 11 11 12 12 12 12 12 12 nan
nan 9 7 7 7 8 11 13 16 17 17 15 14 14 12 9 7 6 6 6 6 7 7 7 6 7 7 8 10 11 10 9 8 8 9 11 14 14 13 11 9 8 9 11 12 10 7 6 7 9 12 15 15 14 12 11 10 10 10 10 8 7 6 6 7 9 10 11 10 9 7 6 5 6 6 5 4 3 3 5 8 11 13 14 13 11 11 13 15 17 17 13 7 1 -2 -3 -1 0 1 2 4 5 5 5 5 5 7 7 5 4 2 2 4 5 7 9 12 13 13 13 12 12 12 11 10 9 8 8 8 8 9 11 13 14 15 15 15 14 13 11 10 11 13 13 13 12 11 9 6 4 6 10 14 16 15 11 7 3 2 3 6 8 9 10 11 11 11 11 11 10 10 10 11 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 11 nan
nan 9 8 7 7 7 9 11 13 15 15 14 13 11 9 7 5 5 5 6 8 9 9 7 5 5 6 8 10 11 11 10 10 9 10 11 12 13 12 10 8 7 8 11 13 12 8 6 6 8 10 12 13 12 11 10 10 10 10 9 7 6 6 7 8 9 10 11 11 10 8 7 6 5 5 5 5 4 4 6 9 12 15 16 15 12 10 11 12 13 13 10 4 -2 -4 -2 1 2 2 2 2 3 4 4 4 5 6 7 7 7 7 8 9 12 15 17 18 18 18 16 16 15 14 12 10 9 8 8 7 7 8 10 12 14 15 15 15 15 14 13 13 14 15 15 13 11 8 6 2 -0 3 9 14 16 14 9 4 2 2 4 6 9 10 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 nan
nan 7 7 7 6 6 7 8 10 11 11 11 10 8 7 5 5 5 7 9 11 12 11 7 5 5 8 10 11 11 11 11 11 11 11 11 11 10 10 9 8 8 9 12 15 14 10 7 5 6 8 10 10 10 9 9 9 10 10 8 7 6 7 8 9 10 10 11 11 10 8 7 7 7 8 8 8 6 6 9 11 13 15 16 14 12 9 9 9 10 10 9 7 4 2 4 6 5 3 2 1 2 4 4 4 4 4 5 5 6 7 8 11 16 19 20 21 20 18 17 16 16 14 13 12 11 10 9 8 8 9 10 12 14 16 17 17 16 16 15 14 14 13 12 9 7 6 5 4 4 6 10 13 14 12 7 3 1 2 4 7 9 12 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 nan
nan 6 7 9 9 7 6 5 6 7 6 6 6 5 4 3 4 6 8 10 12 13 12 9 8 9 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 9 11 14 16 15 11 7 5 5 6 8 9 8 8 9 10 11 11 8 6 5 6 8 9 10 11 11 10 9 7 6 7 9 10 10 9 8 8 9 11 13 14 15 13 11 8 6 7 8 9 10 11 10 9 10 9 8 6 4 4 4 4 4 4 3 3 3 3 3 4 6 9 13 16 18 19 18 17 15 15 15 14 14 14 13 13 13 12 11 11 12 13 15 16 17 17 15 14 12 11 11 11 10 9 7 8 10 12 12 12 11 11 12 10 6 2 2 4 7 10 13 15 17 17 15 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 nan
nan 7 9 13 13 9 5 3 2 4 4 3 2 1 1 2 4 6 8 10 11 12 13 12 12 12 12 12 10 9 9 10 10 9 8 6 5 6 7 8 9 11 13 15 16 14 12 9 6 4 4 6 7 8 8 10 12 14 14 10 6 4 4 6 8 9 10 10 9 8 6 6 6 8 9 9 8 7 8 9 10 10 12 13 13 10 7 6 7 9 10 12 13 12 12 12 12 11 10 9 8 7 5 4 3 2 2 2 2 2 2 3 5 8 11 14 15 15 14 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 15 17 16 14 11 9 9 10 12 13 14 14 15 17 18 17 14 12 12 12 11 8 6 6 9 12 15 18 19 20 18 16 14 12 10 10 10 10 10 10 10 11 10 10 10 9 9 8 8 8 7 7 7 6 6 6 nan
nan 8 11 14 13 9 5 2 2 3 4 2 0 0 1 3 5 8 9 11 12 13 14 15 15 14 12 10 9 8 8 9 9 8 7 5 5 6 8 10 11 12 13 13 14 14 13 11 8 5 3 4 6 7 8 11 14 16 17 13 7 4 3 4 5 6 7 7 7 6 5 5 5 6 6 6 6 8 9 8 8 8 9 10 12 10 7 6 8 11 13 14 14 12 12 13 14 15 14 13 12 9 8 6 4 3 2 1 1 0 1 1 2 3 6 8 10 11 12 11 11 11 12 13 14 14 14 14 15 16 16 15 13 13 13 13 12 11 10 10 10 11 14 16 18 19 20 20 19 18 16 14 13 13 12 11 10 10 13 15 18 20 20 19 17 14 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 6 6 6 nan
nan 9 10 11 10 9 7 5 6 7 7 6 4 4 5 7 8 10 11 12 13 14 15 15 15 13 11 9 8 8 8 8 8 7 6 6 7 9 11 12 13 12 11 10 11 14 14 12 9 6 3 3 4 5 8 11 15 17 17 14 8 5 3 3 3 3 2 2 3 4 4 4 4 4 2 3 6 9 9 9 7 6 6 7 8 7 5 6 8 11 14 15 14 12 11 12 14 16 17 16 14 12 11 9 7 4 2 1 -0 -1 -1 0 1 1 2 4 7 8 10 10 10 10 11 11 12 12 12 13 14 15 15 14 13 11 10 8 7 7 8 9 11 12 14 15 16 17 18 19 18 17 15 14 13 12 11 10 10 11 13 15 17 18 17 15 13 12 11 11 11 11 11 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 9 9 9 10 11 11 10 10 10 11 11 10 9 9 10 10 11 12 13 14 15 14 14 14 12 10 8 8 8 9 9 8 7 6 6 8 11 13 13 12 10 8 8 10 13 15 14 11 7 4 2 2 4 7 11 15 17 16 13 8 5 3 2 2 1 -1 -1 0 2 3 3 3 2 1 2 6 9 9 8 7 5 5 5 5 3 3 4 7 11 13 14 13 11 10 11 13 16 17 17 15 14 13 12 10 7 4 1 -0 -1 -0 1 1 1 1 2 4 6 7 8 8 9 9 9 9 9 9 10 12 13 13 13 11 10 9 7 6 6 7 8 10 11 12 13 13 13 14 15 14 13 12 11 11 10 9 8 8 9 11 13 15 15 14 13 12 12 12 12 12 11 11 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 6 7 10 12 14 14 13 12 12 13 13 12 11 11 11 11 13 15 15 14 13 12 13 12 10 8 8 10 10 10 9 7 6 6 8 11 13 13 11 8 5 5 8 12 15 14 12 9 5 4 3 4 7 11 14 15 14 10 7 4 3 3 2 2 1 1 1 1 1 2 2 1 1 1 3 6 8 7 6 5 4 4 4 2 2 4 7 10 11 12 11 9 9 10 13 16 18 17 14 13 14 14 13 9 5 3 2 3 4 6 5 4 3 2 3 4 6 6 7 7 8 8 7 7 7 8 10 11 12 11 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 9 8 7 6 7 9 11 13 14 13 12 12 12 12 12 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 4 4 6 8 11 14 15 14 12 12 13 13 14 13 12 12 12 13 15 14 12 11 10 12 12 10 8 9 11 13 12 11 9 7 7 8 9 11 11 9 7 5 4 6 9 12 12 11 9 7 6 6 6 8 10 12 13 11 8 5 4 3 4 4 5 6 5 5 3 3 2 2 2 1 1 1 4 5 5 5 4 5 5 5 5 5 5 7 8 9 9 9 9 9 10 12 16 18 17 15 13 15 16 15 13 9 6 5 6 9 11 11 9 7 6 4 4 5 5 6 6 6 6 6 6 6 7 9 10 11 12 11 10 10 9 10 11 11 12 12 12 12 12 10 9 8 8 9 11 12 12 10 8 5 4 3 4 7 10 12 13 12 12 11 11 10 10 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 5 5 6 7 9 11 12 11 10 10 11 13 15 15 14 14 14 14 14 12 10 8 8 9 9 8 8 10 13 15 15 13 10 8 7 7 7 8 9 9 8 6 5 5 6 8 9 9 8 8 7 7 7 7 9 10 10 9 6 5 4 4 5 7 8 9 9 7 6 5 4 5 5 4 3 3 4 3 3 3 4 5 6 6 7 7 7 7 7 7 7 8 8 9 10 12 15 17 17 15 15 15 16 17 17 14 11 9 10 11 13 13 12 11 10 8 6 4 3 3 2 2 2 2 3 4 6 7 9 11 12 12 12 12 11 11 12 13 14 15 15 15 14 11 9 8 8 11 14 14 12 8 5 3 2 2 4 6 9 11 11 11 10 10 9 8 8 7 6 5 5 4 4 4 5 5 5 6 6 6 7 7 7 6 6 6 6 6 6 nan
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nan 15 15 12 10 8 6 6 6 7 8 10 11 13 15 16 17 17 15 11 7 4 2 2 3 5 6 7 9 11 13 14 15 14 13 11 7 5 4 5 7 10 12 12 11 11 10 11 13 14 14 13 10 7 4 2 2 3 4 4 4 5 6 8 10 11 10 9 8 7 7 8 10 12 13 13 13 11 9 7 7 8 8 8 9 10 13 14 14 12 9 7 7 8 10 12 14 15 15 15 16 15 14 13 13 13 14 16 16 14 12 10 9 9 10 11 13 12 10 6 2 -1 -3 -4 -4 -4 -2 -1 1 3 6 9 11 12 11 11 11 11 10 11 12 14 16 16 16 15 14 14 15 15 12 9 7 6 8 9 10 10 10 9 8 7 7 6 6 6 6 6 5 4 4 4 5 5 6 7 8 8 9 9 10 10 10 9 9 9 9 8 8 8 nan
nan 16 16 15 13 9 7 6 7 10 12 13 13 13 13 15 15 14 12 8 5 3 3 4 6 7 8 9 10 11 12 14 16 17 16 13 9 5 3 3 5 9 12 14 14 15 17 18 19 19 18 15 12 8 5 2 1 2 4 4 5 6 7 9 10 11 11 9 8 8 9 11 14 17 18 18 18 16 15 13 12 12 12 11 11 12 15 17 17 15 10 7 7 8 10 12 14 15 16 16 16 16 14 13 11 11 12 14 14 13 11 9 8 7 8 11 14 16 15 12 7 3 -1 -3 -3 -2 -1 -0 1 2 5 8 10 11 11 11 10 10 9 8 8 9 11 13 14 16 17 18 19 19 17 14 11 10 10 11 12 12 11 10 8 7 6 5 5 6 6 5 5 5 5 5 5 6 7 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
23 23 23 22 23 22 22 21 21 24 27 27 26 24 23 21 20 20 21 22 22 22 23 19 12 8 8 9 10 10 11 12 13 14 17 19 20 21 21 20 19 18 18 17 16 17 18 18 16 15 14 14 12 11 10 10 10 10 11 13 17 18 18 18 18 16 11 7 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 0 0 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 15 39 69 134 240 424 584 768 1056 1380 1583 1579 1452 1395 1509 1617 1613 1546 1346 1054 775 580 507 615 976 1366 1602 1819 1950 1962 1949 1986 2026 1998 1902
26 27 26 24 24 23 24 24 26 28 29 30 28 26 26 24 22 22 23 24 25 24 22 19 12 9 9 9 9 9 10 11 12 14 16 18 20 21 21 21 20 19 17 16 16 17 18 18 16 15 14 15 14 12 10 10 11 10 10 13 16 16 18 18 17 15 9 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 44 115 260 469 652 902 1307 1720 1899 1740 1411 1266 1480 1681 1637 1416 978 672 580 661 844 1045 1192 1286 1481 1767 1938 1955 1934 1952 1977 1947 1866
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24 27 28 26 24 23 24 26 28 31 31 31 31 30 29 29 28 26 26 25 24 25 24 22 17 13 9 9 10 10 10 10 11 12 14 15 17 18 18 18 18 17 15 15 15 16 17 17 16 15 15 14 13 12 11 10 9 9 11 14 15 16 16 16 16 12 6 2 1 0 0 0 0 0 0 0 0 0 1 3 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 0 0 0 0 0 0 0 0 0 1 10 50 152 335 585 914 1430 1921 2024 1701 1373 1410 1753 1988 2032 1923 1204 799 863 1187 1563 1859 2000 2020 2061 2140 2104 1997 1936 1925 1914 1877 1836
23 26 27 26 22 22 24 26 28 29 29 30 30 27 27 27 26 24 23 21 20 21 21 23 23 18 12 11 11 11 10 10 10 11 12 13 15 17 18 18 16 15 15 15 15 15 17 17 16 15 15 15 14 12 10 9 7 9 11 12 14 15 16 13 13 9 4 1 0 0 0 0 0 0 0 0 0 4 22 52 57 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 0 0 0 0 0 0 0 0 0 2 19 83 229 480 836 1323 1784 1807 1439 1248 1401 1711 1972 2009 1734 1318 1110 1170 1413 1729 2013 2188 2237 2233 2208 2112 1992 1935 1919 1897 1858 1827
22 24 25 24 22 22 24 25 26 26 26 27 27 22 22 22 20 19 18 16 15 18 20 20 21 16 12 12 12 11 10 9 9 10 11 12 14 15 16 17 15 15 15 15 15 16 17 17 16 15 16 15 14 12 10 9 7 10 13 13 12 14 16 12 9 5 2 0 0 0 0 0 0 0 0 0 0 15 105 235 244 27 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 49 171 422 798 1160 1405 1331 1198 1295 1544 1755 1781 1587 1461 1397 1330 1382 1559 1805 2060 2261 2359 2362 2289 2124 1990 1938 1915 1885 1847 1816
20 22 23 22 21 22 24 24 25 25 24 24 22 17 17 16 14 13 12 12 13 14 14 14 17 11 10 11 11 11 9 9 8 8 9 11 12 13 15 15 13 14 16 16 16 16 16 17 16 16 16 15 13 12 10 9 10 12 13 13 12 13 14 12 7 2 0 0 0 0 0 0 0 0 0 0 0 18 160 432 475 138 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 28 126 381 748 957 1029 1079 1321 1536 1662 1740 1744 1567 1232 1093 1242 1400 1564 1762 1977 2186 2320 2312 2252 2083 1978 1944 1918 1883 1845 1811
18 19 20 21 22 24 24 24 23 24 21 21 17 14 13 12 10 9 9 9 11 13 13 13 16 11 11 11 11 10 9 8 8 7 7 9 9 10 11 11 11 13 15 15 16 16 16 17 16 17 16 16 15 12 10 10 10 12 13 15 15 13 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 9 100 420 533 291 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 99 359 679 796 884 1169 1673 2000 1980 1692 1337 1035 812 764 985 1181 1389 1613 1831 2062 2239 2277 2241 2078 1976 1945 1916 1882 1846 1809
18 18 19 22 23 24 25 24 24 25 22 20 14 13 13 11 8 7 8 8 9 9 9 11 13 14 13 11 10 9 8 8 7 7 7 7 8 8 8 8 10 12 14 14 15 17 17 18 18 18 16 16 16 13 11 11 11 12 13 15 15 11 9 6 2 1 0 0 0 0 0 0 0 0 0 0 0 2 40 381 527 312 55 2 0 0 0 2 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 0 0 0 0 0 0 0 0 0 2 107 354 589 698 913 1383 1924 2192 2184 2105 1928 1473 846 504 652 954 1218 1499 1754 2008 2209 2290 2258 2128 2015 1960 1917 1877 1843 1814
17 18 19 21 22 24 25 25 25 25 24 19 14 15 13 10 10 10 11 11 10 8 9 10 11 13 12 12 10 9 8 8 8 8 7 7 7 7 7 8 9 11 13 15 16 19 19 19 20 19 18 19 19 16 13 12 13 12 13 14 12 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 13 418 533 284 69 6 0 0 1 2 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 0 0 0 0 0 0 0 0 0 4 129 346 522 661 934 1379 1818 2061 1997 1746 1464 1081 642 410 528 885 1182 1474 1736 1987 2178 2269 2266 2179 2074 1994 1931 1883 1850 1826
16 17 18 19 21 23 24 26 26 27 26 23 21 20 18 17 15 15 15 15 13 11 10 12 13 11 12 12 10 9 8 7 7 7 7 7 7 6 6 7 9 11 13 16 18 21 20 20 20 20 21 21 21 17 13 12 12 12 13 12 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 8 15 99 596 584 272 78 12 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 128 310 457 599 842 1194 1539 1747 1694 1412 1042 705 462 374 506 883 1227 1511 1762 1999 2166 2237 2230 2169 2086 2005 1941 1897 1869 1844
14 16 18 19 21 22 24 27 27 28 29 28 26 22 20 18 17 16 16 17 18 17 16 16 16 13 12 13 13 9 7 6 5 5 6 6 6 5 5 6 7 9 13 15 17 20 19 19 21 22 22 22 20 16 12 11 11 12 14 13 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 20 142 144 255 740 610 283 87 19 3 6 11 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22 101 241 376 514 703 941 1155 1259 1181 976 692 468 310 286 488 869 1271 1584 1829 2045 2190 2238 2205 2130 2047 1977 1938 1925 1914 1882
14 16 18 19 20 22 24 26 27 27 28 28 26 24 22 20 19 17 17 17 18 18 18 18 18 17 17 15 12 9 8 7 6 6 6 5 4 4 4 5 6 8 12 14 16 18 18 19 20 23 23 23 20 16 13 12 11 11 13 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 61 498 382 485 827 574 315 105 31 19 16 11 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 0 0 0 0 6 40 128 226 312 418 561 720 851 906 813 706 503 319 176 181 414 810 1262 1633 1887 2079 2202 2241 2203 2123 2039 1975 1949 1951 1955 1931
15 16 19 20 21 23 25 26 26 26 27 27 26 25 22 20 20 20 19 19 18 17 16 15 15 15 14 10 9 9 10 10 11 12 10 7 5 5 5 5 6 8 10 13 16 17 18 20 22 23 24 23 21 17 15 14 13 11 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 40 450 527 793 863 554 327 155 56 37 22 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 62 193 294 325 374 472 571 609 574 497 478 394 223 100 95 287 688 1173 1584 1858 2047 2164 2210 2194 2138 2068 2006 1971 1962 1969 1953
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17 18 19 20 22 24 25 26 28 27 26 25 24 23 19 18 17 18 18 18 17 17 17 16 16 16 16 16 16 15 15 15 15 14 14 14 13 12 12 10 8 8 10 12 16 19 20 21 23 24 24 24 23 21 19 17 17 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 101 302 426 469 408 240 97 21 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 0 0 0 0 0 0 0 0 0 0 0 0 22 79 150 192 202 263 410 527 512 441 396 392 406 318 161 62 27 94 379 922 1542 1920 2103 2157 2184 2171 2133 2091 2054 2017 1985 1968 1957
18 19 19 20 23 24 24 25 26 26 25 24 23 21 20 19 16 16 17 17 17 17 17 17 16 16 16 16 16 16 16 15 13 12 13 13 13 13 13 12 11 10 10 13 16 19 20 22 24 24 24 24 22 21 20 18 16 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 68 136 171 127 47 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 30 92 225 413 406 428 479 449 389 362 379 385 307 161 61 27 41 176 520 1044 1553 1910 2102 2174 2190 2157 2106 2061 2021 1986 1963 1953
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20 21 22 22 22 23 25 23 22 22 21 20 21 21 20 18 18 18 18 17 16 16 16 16 15 15 15 16 16 15 13 13 13 13 13 12 13 13 12 12 12 13 13 14 14 17 21 24 25 26 24 24 25 25 22 16 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 44 132 155 172 131 89 108 193 284 298 204 65 18 9 2 0 17 82 254 610 1037 1438 1729 1890 1952 1963 1957 1942 1917
21 22 21 22 22 22 23 22 21 20 19 19 20 20 19 19 19 19 18 17 17 16 16 16 16 16 15 15 15 13 13 12 12 12 12 12 13 13 12 11 11 12 13 13 12 17 21 23 24 25 24 23 24 24 18 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 11 10 47 152 281 323 222 74 18 11 4 1 0 6 50 206 525 959 1354 1632 1789 1865 1898 1909 1918
21 21 21 21 21 21 22 22 21 21 20 20 20 19 19 20 20 19 19 18 18 17 16 15 15 15 15 15 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 15 20 21 23 24 25 25 26 23 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 34 135 282 336 237 90 27 15 5 1 0 0 4 39 183 506 938 1304 1552 1704 1793 1848 1892
20 20 20 20 20 20 21 21 20 20 20 20 19 19 20 20 20 19 19 18 18 17 16 15 14 14 15 15 13 12 12 12 12 13 12 12 11 10 10 10 11 11 11 12 12 14 20 22 24 26 27 26 25 22 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 36 139 273 309 222 104 40 18 6 1 0 0 0 9 55 207 562 958 1264 1481 1630 1736 1821
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19 19 19 19 19 19 20 20 20 20 20 20 19 19 18 18 19 19 19 19 19 18 16 16 16 16 15 13 12 12 12 12 12 11 10 10 10 10 10 10 10 11 11 11 14 17 20 22 25 27 29 27 21 15 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 69 157 200 190 139 80 41 23 13 5 1 0 0 0 1 12 67 379 713 989 1205 1382 1539
18 19 19 19 19 19 19 20 20 20 20 21 20 19 17 18 18 18 18 18 18 17 16 16 16 15 14 13 12 13 13 11 10 10 10 10 10 10 10 11 11 11 12 12 12 16 19 22 25 26 26 25 20 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 88 161 180 161 119 73 41 24 13 6 1 0 0 0 0 1 18 192 509 809 1054 1252 1423
17 18 19 19 18 18 18 19 19 20 21 22 21 20 19 17 18 18 18 17 17 16 15 16 16 15 13 13 12 12 11 10 10 10 10 10 10 10 10 10 11 11 12 12 14 18 18 22 26 26 24 22 20 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23 106 193 206 180 133 83 46 23 10 3 0 0 0 0 0 0 8 70 326 639 925 1153 1334
17 17 18 18 18 18 19 20 21 22 22 21 21 21 20 19 19 18 17 17 16 16 15 15 15 14 13 13 12 11 10 10 10 10 11 10 10 10 10 10 11 12 12 12 14 16 16 22 25 23 22 20 17 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 30 119 220 247 216 161 99 50 22 8 0 0 0 0 0 0 0 2 23 167 440 752 1021 1228
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20 20 20 19 18 18 18 17 16 15 15 15 16 16 14 15 14 13 13 12 13 12 12 11 11 11 10 8 8 8 7 7 7 6 5 5 6 7 8 8 8 10 14 15 16 14 8 4 3 3 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 35 67 89 106 109 96 73 44 19 4 0 0 0 0 0 0 0 0 0 0 2 23
21 21 19 18 16 16 16 15 15 15 14 14 15 15 15 14 14 14 13 14 14 13 11 11 11 10 9 8 6 6 6 6 5 5 4 4 5 6 6 7 8 10 13 12 10 7 5 3 3 3 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 39 63 79 82 72 52 30 14 4 0 0 0 0 0 0 0 0 0 0 0 12
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