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 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 10 16 22 21 14 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 6 1 -5 -5 -0 4 5 5 4 3 3 4 4 5 6 5 4 2 0 -1 -0 1 3 5 6 5 4 3 4 6 10 15 19 22 21 19 17 15 13 12 10 9 10 11 11 10 8 7 7 7 7 7 7 7 7 nan
nan 6 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 12 17 20 16 11 8 8 7 7 7 7 8 8 8 9 9 9 8 9 9 6 1 -4 -3 1 4 5 5 5 4 3 3 3 4 6 7 7 6 3 1 -0 -0 1 3 5 6 6 5 3 3 5 9 14 19 21 21 20 18 16 14 11 10 10 11 11 11 10 8 7 7 7 8 8 7 7 nan
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nan 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 6 5 4 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 8 7 7 8 9 10 10 11 12 12 11 10 8 6 6 5 5 6 6 7 7 7 8 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 8 7 7 10 12 13 nan
nan 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 5 3 3 5 7 8 8 8 7 7 7 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 10 11 13 15 15 14 13 11 8 7 7 8 8 7 6 6 6 6 7 9 12 16 17 15 13 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 9 7 7 8 10 12 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 7 8 8 7 6 4 3 3 6 7 7 7 7 7 7 7 7 8 8 9 9 9 7 7 6 6 7 7 7 7 7 9 10 10 10 11 12 13 13 13 14 13 11 10 9 10 11 11 10 9 9 8 7 6 7 11 15 17 17 17 18 18 18 17 15 12 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 10 9 8 7 7 8 10 nan
nan 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 6 7 6 6 6 6 6 6 7 8 8 7 7 5 4 4 6 8 8 8 8 7 8 8 9 8 8 9 9 9 8 6 6 6 6 7 7 7 7 8 10 11 11 12 12 12 11 10 10 11 11 11 10 11 12 12 11 11 11 11 10 7 6 6 7 9 12 15 20 25 27 26 23 19 14 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 8 7 7 7 8 nan
nan 8 8 8 8 7 8 7 7 7 8 8 8 8 8 7 7 7 8 7 7 7 6 5 5 5 4 5 5 6 6 6 5 5 5 6 7 8 8 8 7 6 5 5 7 9 10 11 10 10 9 9 10 10 9 9 9 8 7 6 6 6 6 7 7 7 7 7 8 9 11 12 13 14 14 12 12 13 12 11 11 12 13 12 11 11 11 12 12 9 7 6 6 5 5 7 12 18 22 24 24 21 17 13 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 8 8 7 8 nan
nan 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 5 5 5 5 5 6 6 6 6 5 5 5 5 7 8 9 8 7 7 6 7 8 9 11 11 12 12 11 11 11 11 10 9 8 7 6 5 5 5 6 6 7 7 7 7 7 8 8 10 11 13 14 14 14 15 16 15 13 12 13 13 12 11 11 11 12 10 8 7 7 6 6 6 8 11 14 15 15 14 14 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 6 6 6 7 8 8 7 7 6 6 7 8 10 10 9 8 8 7 8 8 8 9 10 11 11 12 12 12 12 11 10 8 6 5 5 4 5 5 6 6 7 7 7 7 7 8 9 10 11 12 12 13 13 14 14 14 13 13 13 12 11 11 11 11 11 9 7 7 7 8 8 8 9 10 10 10 9 9 9 12 16 18 17 15 12 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 nan
nan 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 9 9 9 9 8 8 7 8 9 10 9 8 8 7 7 7 8 8 8 9 10 11 11 11 12 12 11 9 8 7 6 6 7 6 6 6 7 8 8 8 8 8 9 10 10 10 10 10 11 11 10 10 11 11 12 12 11 11 11 12 12 10 8 7 7 8 9 9 9 9 8 9 8 8 7 8 11 16 19 20 18 16 13 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 nan
nan 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 8 8 7 7 7 8 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 9 9 8 8 9 8 7 8 9 10 10 10 10 9 9 9 8 8 8 8 9 9 11 12 13 13 12 11 8 6 6 7 8 9 9 9 9 9 9 8 7 6 7 9 12 15 17 19 19 17 14 12 10 9 9 9 9 9 9 10 10 11 11 11 11 12 11 11 11 10 10 10 10 9 8 nan
nan 8 8 8 8 7 8 8 8 7 7 7 8 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 11 11 10 8 8 8 9 10 11 12 12 12 12 11 10 8 6 6 7 9 10 10 9 9 8 7 7 7 7 6 6 6 7 9 11 13 13 11 9 7 6 6 7 9 10 10 10 11 11 10 8 6 6 7 7 8 10 13 17 19 19 18 16 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 8 nan
nan 7 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 10 10 9 8 7 7 7 9 10 11 12 13 13 13 11 9 7 6 7 9 9 9 9 8 7 6 5 5 6 6 5 4 4 5 8 10 11 11 10 9 9 8 7 8 9 10 11 12 13 12 10 7 6 6 6 6 7 7 9 11 13 17 19 19 20 21 21 20 18 15 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 8 nan
nan 7 7 7 7 7 8 8 8 7 7 8 8 8 7 6 6 7 7 8 8 8 8 8 7 8 9 9 8 8 8 8 9 8 8 7 7 7 8 8 8 7 8 8 8 9 9 9 9 8 7 7 8 10 11 12 12 13 13 12 11 10 9 9 10 11 11 9 8 7 7 6 5 4 5 7 8 6 5 5 6 9 10 11 10 10 11 11 10 9 9 9 10 10 11 12 11 9 6 6 6 6 6 7 6 6 7 9 13 16 20 23 24 24 24 21 16 11 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 9 8 7 8 8 9 9 9 9 9 8 8 9 11 12 13 14 13 12 11 11 10 10 10 12 13 13 11 8 7 6 6 6 5 6 8 10 9 7 6 8 9 11 11 11 10 11 11 11 11 11 10 11 10 10 10 10 8 6 7 7 8 8 7 6 6 7 8 9 10 12 15 17 18 18 15 11 7 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 10 10 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 7 8 9 9 9 9 9 9 9 9 10 11 12 13 12 11 11 10 9 10 10 12 13 12 11 8 6 5 5 5 6 7 8 10 9 7 6 7 9 11 11 11 10 10 10 10 10 11 11 12 13 13 12 11 9 7 8 9 10 9 8 7 6 6 7 8 8 8 9 10 11 11 10 5 0 -1 3 6 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 nan
nan 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 9 9 9 8 9 9 10 10 10 9 9 9 9 9 10 11 11 11 10 10 9 9 9 10 10 10 10 8 6 4 4 4 5 6 7 8 9 9 8 6 7 9 11 12 11 11 11 11 10 9 9 9 11 12 13 12 12 10 9 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 9 8 6 1 -2 1 5 8 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 nan
nan 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 5 5 6 7 7 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 11 10 10 9 10 10 9 9 9 8 6 5 4 4 5 6 6 6 6 7 7 8 8 8 9 11 11 10 10 11 12 12 10 9 9 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 6 3 1 2 7 11 13 13 11 10 10 11 11 11 11 11 11 11 12 12 12 12 nan
nan 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 7 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 7 6 5 4 5 7 9 9 9 8 7 6 7 8 9 10 10 9 8 8 10 12 13 12 11 10 10 10 10 9 8 7 7 8 9 10 10 9 9 9 9 9 9 10 9 8 7 7 8 8 7 6 4 6 11 17 21 21 18 15 14 12 12 12 12 12 11 12 11 11 11 11 12 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 9 9 9 9 9 9 7 6 5 5 6 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 7 6 5 5 6 7 9 11 11 10 10 9 9 8 9 9 9 7 6 6 9 12 13 13 12 11 10 10 10 10 10 10 10 11 13 13 13 12 11 10 10 9 10 10 11 10 9 8 7 7 8 8 7 9 14 21 25 25 23 21 20 18 15 13 11 11 11 11 10 10 10 10 10 11 nan
nan 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 7 7 8 9 10 11 11 11 12 11 11 11 11 11 9 8 7 6 6 6 6 7 7 7 6 6 6 6 7 8 9 9 9 10 10 10 10 10 9 8 7 5 5 7 10 12 12 10 10 10 10 10 10 10 11 12 13 15 15 15 13 12 10 9 9 9 10 11 11 10 9 8 7 7 7 8 9 11 15 18 19 19 18 19 20 19 16 12 10 10 9 9 8 8 8 8 9 10 nan
nan 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 8 10 11 11 12 13 15 16 16 15 14 13 11 9 9 8 7 7 6 6 7 7 7 7 7 7 7 8 8 7 7 8 9 10 10 10 9 9 7 5 4 6 9 10 9 7 6 7 8 9 9 9 9 10 12 12 13 13 13 12 11 9 9 9 10 11 11 10 9 8 8 7 7 8 8 8 9 11 11 11 11 12 14 15 15 13 10 9 8 8 7 7 6 7 7 8 9 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 9 8 7 7 7 7 7 7 9 10 11 11 12 14 16 17 17 17 16 14 11 11 11 10 10 8 7 6 7 7 7 7 8 9 8 7 7 7 7 8 9 9 10 10 9 8 6 4 5 9 11 10 8 6 7 8 7 6 6 6 7 8 9 9 10 11 11 11 10 9 9 10 11 11 11 10 10 9 9 8 8 9 8 8 9 9 9 8 7 6 5 5 6 6 6 7 7 6 6 6 6 7 8 9 10 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 6 6 7 8 9 9 9 10 9 9 10 12 13 14 15 16 16 16 15 13 12 11 11 10 9 7 7 6 6 6 7 8 8 8 7 7 7 7 8 9 9 9 10 10 8 6 5 7 11 12 12 11 10 11 10 8 6 5 5 5 6 7 8 9 10 11 11 10 10 10 11 12 12 11 11 11 10 10 11 11 11 10 10 10 10 9 5 2 -2 -3 -3 -3 -2 2 5 6 7 7 7 7 8 8 9 10 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 9 9 8 8 8 9 9 8 6 5 5 7 10 11 11 11 10 9 10 11 12 12 12 13 14 14 15 15 14 11 10 9 7 6 6 6 5 5 5 5 6 6 7 7 7 7 7 8 8 8 9 9 10 10 9 9 11 13 14 14 14 14 14 12 10 9 8 7 8 8 8 8 9 10 11 10 10 10 11 12 12 12 12 11 11 10 11 12 13 12 11 10 11 11 8 4 1 -2 -3 -3 -3 -1 3 6 7 8 8 8 8 8 8 9 9 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 6 4 5 7 9 10 10 10 11 11 11 12 13 12 11 11 11 11 12 13 14 14 12 10 9 7 6 6 6 6 6 5 4 4 5 5 6 7 7 8 8 8 8 8 9 9 10 10 12 14 15 15 15 15 15 14 13 12 11 10 10 11 10 9 8 8 9 9 9 10 10 11 12 12 12 12 11 11 11 12 13 12 11 10 9 9 9 8 7 6 7 7 7 5 6 7 8 8 8 8 7 7 7 7 8 8 nan
nan 8 8 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 7 7 7 7 7 6 5 5 7 9 10 10 10 10 11 11 11 12 12 11 10 10 10 10 11 11 12 13 13 12 11 10 10 11 11 11 11 10 8 6 5 5 6 6 7 7 8 7 8 8 9 9 9 10 13 15 16 15 14 13 13 13 12 11 10 10 11 11 10 8 7 8 8 8 9 10 11 11 12 12 12 11 11 12 12 12 11 10 9 9 9 8 8 9 10 12 14 15 14 11 9 8 8 8 7 7 7 7 6 7 7 8 nan
nan 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 9 10 10 9 8 7 6 5 5 6 6 7 7 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 11 12 13 14 15 15 15 14 12 9 7 6 6 7 7 7 7 8 8 9 9 9 11 13 14 14 13 12 11 11 10 10 9 9 9 10 10 9 8 8 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 10 10 10 11 11 9 9 9 10 12 13 13 11 8 8 8 8 8 7 7 7 7 6 7 7 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
CAPE
8 8 7 6 7 7 7 8 10 12 14 17 21 26 28 30 31 34 36 39 41 41 42 43 44 46 49 53 56 59 61 60 62 64 64 64 65 67 67 64 60 59 59 58 57 56 55 51 44 38 33 30 30 27 19 18 17 16 14 14 14 12 7 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 2 3 6 9 12 18 28 42 56 60 58 58 57 70 115 203 361 573 764 900 954 966 967 981 1017 1050 1090 1115 1160 1300 1643 2014 1727 1514 1472 1483 1527 1615 1948 2344 2404 2188 1884 1633
7 8 8 8 8 8 8 8 10 12 14 17 20 24 27 30 29 30 32 33 34 36 39 39 40 42 45 47 50 52 58 58 59 59 59 60 60 60 60 59 58 58 58 57 57 55 52 48 43 39 34 30 29 26 20 18 17 16 14 13 13 10 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 3 6 8 10 11 12 15 24 37 48 55 57 60 61 70 98 174 324 518 716 861 969 986 994 993 1013 1074 1150 1172 1090 1289 1539 1603 1521 1441 1420 1456 1543 1778 2175 2346 2181 1877 1632
9 9 8 8 7 8 8 9 11 12 15 18 20 21 24 29 29 28 29 30 31 32 34 35 37 39 41 43 44 45 52 54 56 58 57 56 56 56 55 55 55 55 55 54 52 51 48 46 43 38 34 27 26 25 21 19 17 16 14 14 13 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 1 4 7 10 11 12 10 11 14 21 31 41 51 59 62 62 68 90 150 265 443 648 837 939 984 984 969 1007 1118 1221 1125 1184 1340 1545 1591 1512 1434 1401 1469 1705 2118 2289 2132 1878 1630
4 3 3 5 5 7 8 8 11 12 13 15 17 19 22 27 28 27 27 26 27 29 30 31 35 38 38 39 40 41 44 48 51 54 55 55 54 54 52 52 52 52 51 50 48 46 43 40 38 35 31 26 24 24 22 21 19 17 15 15 13 9 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 2 5 9 10 11 12 11 9 10 14 20 29 41 54 61 63 64 65 72 122 231 392 588 779 924 975 916 903 1032 1199 1219 1178 1214 1447 1655 1693 1616 1501 1522 1692 2148 2249 2123 1900 1655
3 3 3 3 4 5 6 7 11 13 13 14 16 19 20 22 24 26 25 25 25 25 26 28 30 33 37 37 38 37 38 40 43 45 46 49 51 51 50 48 47 48 48 47 44 42 39 36 33 30 27 23 21 21 21 21 20 18 15 14 9 4 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 1 4 7 10 10 10 11 10 10 9 11 15 21 32 48 63 70 68 64 58 72 118 201 339 542 773 924 891 847 926 1109 1278 1271 1179 1276 1540 1719 1716 1520 1537 1625 2040 2230 2162 1941 1697
1 0 1 2 3 4 5 7 10 13 14 15 17 18 19 19 20 23 24 25 25 24 24 25 27 28 32 34 36 36 35 35 36 37 38 39 42 44 44 45 45 47 46 43 40 38 35 31 28 24 21 18 16 17 19 20 20 17 14 13 6 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 1 4 8 10 10 10 9 8 7 8 8 8 11 16 25 38 54 66 68 66 62 61 68 91 149 288 516 735 832 845 861 1013 1261 1340 1248 1217 1356 1575 1670 1485 1452 1541 1830 2131 2204 2001 1753
1 2 2 1 1 2 5 8 10 12 13 14 16 17 18 19 19 22 24 24 24 25 25 25 26 26 27 30 32 33 32 31 31 32 34 34 35 36 39 41 43 44 43 41 38 35 31 26 22 18 16 15 14 14 16 18 18 15 13 14 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 1 4 9 14 12 9 7 6 5 5 5 6 7 8 12 17 26 42 56 62 64 63 60 54 50 67 132 267 452 640 771 823 929 1121 1263 1263 1180 1192 1461 1570 1505 1427 1440 1628 1968 2181 2016 1752
1 0 0 0 1 2 4 8 10 10 12 13 14 15 16 17 18 20 22 23 24 24 24 26 27 26 26 28 30 30 28 26 26 28 30 31 31 31 32 34 35 36 36 35 34 31 28 24 20 17 14 11 11 13 14 16 15 13 10 12 5 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 7 12 16 13 10 6 4 4 3 3 4 6 7 10 13 19 30 43 54 61 64 64 57 47 42 60 120 223 394 579 716 828 958 1104 1213 1132 1094 1315 1492 1540 1518 1486 1578 1909 2138 2023 1729
0 0 0 0 0 1 3 7 9 9 10 11 12 13 13 14 15 16 18 19 20 20 20 24 27 26 26 27 28 28 26 23 23 24 25 28 27 28 29 29 30 30 29 27 26 24 24 20 15 12 10 10 10 11 12 13 13 12 9 9 6 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 3 9 15 18 14 10 7 4 3 3 3 4 6 7 8 10 14 22 32 44 55 60 62 59 52 43 41 55 102 204 357 532 695 810 910 1061 1052 1035 1149 1353 1549 1642 1621 1608 1811 2021 2021 1750
0 0 0 0 0 0 2 7 10 8 9 10 11 11 12 12 12 13 13 14 15 17 19 22 25 26 26 26 25 25 24 24 22 22 22 22 22 23 25 26 27 26 24 22 20 18 17 15 12 10 9 9 9 10 11 12 12 11 9 7 6 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 1 6 12 15 16 13 10 8 6 4 4 4 4 6 7 7 8 11 15 23 35 46 52 54 54 53 45 39 39 54 95 178 316 517 682 793 901 953 975 1031 1186 1452 1704 1744 1643 1590 1820 1996 1846
0 0 0 0 0 0 2 6 10 8 8 9 10 11 11 12 12 12 13 13 13 13 16 20 24 25 25 24 22 21 21 22 21 21 21 20 20 19 19 20 21 19 17 15 14 14 12 11 9 7 7 7 8 9 9 10 10 9 7 4 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 1 4 8 12 13 13 13 11 9 9 7 6 5 5 7 7 8 8 9 11 17 27 38 46 47 50 51 48 44 39 38 45 70 148 310 502 669 787 862 911 965 1074 1286 1602 1824 1780 1582 1746 1996 1972
0 0 0 0 0 0 1 4 8 9 8 8 8 9 10 10 11 11 12 12 12 13 14 18 21 23 23 21 19 18 18 18 18 19 18 17 16 16 15 15 13 11 10 9 8 8 8 8 6 4 4 5 6 7 7 9 9 8 5 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 6 9 11 12 12 11 11 11 11 10 9 7 7 8 9 9 8 8 10 14 22 32 39 43 48 49 48 44 39 37 33 32 72 165 313 488 642 752 829 900 983 1124 1401 1708 1790 1686 1776 2003 2048
0 0 0 0 0 0 1 2 5 8 8 7 7 8 8 8 9 9 10 11 12 12 12 15 18 21 21 18 16 16 16 16 16 16 16 15 16 15 14 13 10 8 7 5 3 3 4 4 4 3 3 3 4 5 5 7 7 7 5 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 1 5 9 10 11 10 9 11 12 13 13 12 11 10 10 10 10 10 9 8 11 17 25 33 39 44 47 48 44 38 37 35 32 40 74 160 305 469 618 738 836 896 982 1145 1398 1580 1694 1819 1980 2145
0 0 0 0 0 0 0 0 2 7 8 7 7 7 6 7 7 8 8 8 9 9 10 13 16 19 19 17 15 14 14 15 14 14 14 14 14 13 11 10 8 5 4 2 1 1 1 1 2 2 3 3 3 3 4 5 5 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 2 5 9 11 10 8 8 11 13 15 15 15 14 13 12 11 11 11 10 9 10 14 20 26 33 38 43 45 46 39 37 37 35 31 31 72 175 314 481 653 784 833 887 974 1114 1301 1524 1771 1903 1988
0 0 0 0 0 0 0 0 2 5 8 8 6 5 5 5 5 6 7 7 7 8 8 11 14 16 17 16 15 15 14 11 11 11 11 11 10 9 8 6 4 2 1 1 0 0 0 0 0 0 0 2 2 3 3 3 3 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 1 3 7 11 11 10 9 10 11 14 16 17 17 16 16 14 13 11 11 11 10 11 13 16 20 26 33 39 41 45 42 38 36 37 35 31 42 92 187 343 537 703 788 818 852 944 1088 1261 1551 1755 1786
0 0 0 0 0 0 0 0 1 2 5 7 7 6 5 5 4 4 4 5 6 6 6 8 10 13 15 16 18 17 15 11 10 9 9 9 8 7 5 4 2 0 0 0 0 0 0 0 0 0 0 1 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 1 4 9 12 13 12 11 11 13 15 16 18 19 19 18 17 16 12 11 12 11 11 12 14 16 21 28 33 37 42 43 40 37 38 40 36 33 44 94 212 382 570 719 771 765 827 958 1073 1272 1426 1516
0 0 0 0 0 0 0 0 0 0 2 4 6 6 7 7 7 6 5 4 4 4 4 5 7 9 11 13 15 17 16 13 10 8 7 6 5 4 3 1 1 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 1 3 6 10 13 15 13 13 14 15 16 17 19 21 21 20 19 18 15 13 12 11 11 12 13 15 17 22 28 33 39 42 42 40 40 42 43 36 31 53 119 238 408 606 744 730 761 860 966 1090 1205 1280
0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 6 9 7 4 3 3 3 3 4 5 6 7 8 11 13 12 11 9 6 4 3 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 1 2 4 7 11 14 16 15 15 16 17 18 19 20 22 22 22 21 20 18 16 13 12 12 12 13 15 15 18 24 28 34 39 42 42 43 44 43 42 39 44 70 137 260 444 656 720 739 784 869 977 1079 1149
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 6 5 3 3 2 2 3 3 4 4 5 5 6 7 9 9 6 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 2 5 7 9 10 14 18 19 19 19 20 20 21 20 21 23 24 24 22 20 18 15 12 12 11 13 15 14 15 18 23 30 35 40 44 47 46 46 46 45 45 52 82 164 296 504 672 725 749 810 908 1006 1081
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 2 1 0 0 1 2 2 2 3 3 1 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 0 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 8 13 14 12 15 19 21 22 23 25 26 24 22 22 22 24 26 25 22 20 18 15 13 11 11 14 13 14 17 21 26 30 35 42 46 48 49 49 50 51 51 59 107 206 384 590 693 733 781 855 947 1051
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 1 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 0 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 8 15 19 19 20 22 24 24 24 26 28 30 27 24 21 23 25 25 23 21 19 17 14 12 11 13 13 13 13 16 21 25 30 35 42 50 53 51 52 55 55 56 77 143 275 458 604 689 747 797 878 1024
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 23 24 24 26 28 28 27 28 30 32 33 28 24 23 23 23 21 20 20 18 16 14 13 13 13 13 12 13 18 20 23 30 39 50 56 55 55 58 64 66 68 107 206 347 487 600 691 758 839 988
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 11 16 21 25 29 29 28 29 30 30 31 33 33 35 33 29 27 25 25 25 24 23 22 19 17 15 14 14 14 13 12 13 15 18 25 36 49 56 60 61 64 74 75 72 88 145 247 381 506 620 727 823 938
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 14 19 24 26 31 33 33 33 32 30 31 34 34 35 35 33 32 30 29 29 27 26 26 23 20 17 15 15 15 14 13 11 12 15 22 36 51 61 67 69 72 80 81 79 82 98 150 286 419 534 656 780 885
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 20 26 29 33 36 37 38 37 33 32 34 37 37 35 34 33 33 31 29 29 29 29 28 25 21 17 16 16 15 13 9 10 13 19 34 52 59 72 79 83 87 89 89 86 82 93 195 314 434 569 710 829
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 11 16 22 27 32 36 38 39 40 42 40 37 36 38 39 38 36 35 35 31 29 28 29 31 31 29 26 21 17 16 16 14 12 10 11 15 25 44 52 67 81 92 97 96 95 90 88 93 140 215 320 456 600 724
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 12 16 22 28 33 37 40 41 40 42 43 41 40 38 38 40 40 39 35 32 30 29 30 32 33 32 29 24 19 17 16 15 13 12 12 11 21 35 47 63 81 98 107 105 103 100 97 98 114 152 233 361 494 617
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 16 19 24 31 36 40 44 44 43 43 43 44 44 41 39 40 42 41 37 34 32 32 33 33 34 34 32 28 23 19 17 16 15 15 13 12 19 31 45 60 76 95 110 115 117 114 107 106 114 135 193 312 454 543
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