Vorticity
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nan 7 7 8 8 7 5 6 8 8 7 6 6 7 8 7 5 4 5 7 10 11 11 10 8 7 7 7 7 7 7 9 10 10 9 9 10 10 9 7 5 6 8 9 8 6 6 7 8 8 8 7 7 7 4 5 7 9 11 12 12 10 6 6 10 13 13 11 8 7 9 10 9 9 9 8 9 10 10 11 10 8 7 9 8 7 5 5 7 9 10 10 8 9 9 7 6 6 8 11 9 6 10 13 11 7 6 4 6 8 8 6 5 3 4 5 7 8 6 5 6 10 10 5 7 10 14 19 20 15 7 6 8 9 8 8 8 7 4 3 5 6 7 6 5 4 6 8 8 7 6 6 6 5 5 7 7 7 7 7 8 9 10 11 10 nan
nan 9 9 9 8 6 6 5 7 8 7 7 7 8 8 7 5 4 7 10 11 10 10 9 6 6 7 8 7 6 5 6 7 6 5 5 5 6 5 3 2 5 7 7 5 4 5 6 8 8 8 6 4 3 4 7 9 9 10 11 12 10 6 5 7 9 11 11 9 7 8 8 9 9 9 9 10 10 10 10 9 8 7 8 9 8 7 7 10 12 10 8 7 9 9 8 8 8 11 13 11 7 13 14 10 5 5 6 6 8 9 9 8 6 6 5 4 4 2 2 6 11 10 11 13 10 11 16 15 11 7 7 9 11 11 10 8 7 6 7 7 9 9 7 5 5 6 7 6 6 6 7 5 4 5 7 7 7 6 7 7 7 8 9 10 nan
nan 9 8 8 8 7 7 7 6 7 8 8 8 8 8 7 5 4 6 9 10 9 9 8 6 6 8 9 9 7 6 6 6 5 4 3 1 2 3 3 4 4 6 5 4 3 3 4 6 6 4 3 2 3 6 10 11 8 8 9 10 9 6 6 6 7 8 11 12 9 6 7 8 9 9 9 9 8 7 8 9 9 8 8 9 8 6 6 10 11 9 5 6 9 12 12 10 8 9 12 13 11 10 7 4 3 6 9 9 10 10 10 9 9 8 6 7 10 9 6 3 6 9 13 9 6 5 9 10 8 9 10 11 11 10 10 9 8 7 8 8 9 8 8 6 6 6 7 7 7 7 8 6 5 6 6 6 6 6 6 6 6 6 7 7 nan
nan 6 7 7 7 9 9 8 8 9 9 9 9 8 8 8 5 3 3 6 9 9 9 8 7 6 8 10 9 8 9 10 7 4 4 5 4 3 5 8 7 6 5 5 4 3 3 3 4 5 5 4 5 8 10 11 10 8 7 7 8 7 7 6 6 6 8 10 12 9 6 7 8 9 8 7 6 5 5 6 8 10 9 7 7 7 6 5 6 8 8 7 7 10 12 12 10 7 5 8 11 11 8 3 1 4 8 9 11 11 9 8 9 10 10 7 7 8 8 8 9 5 4 5 2 3 4 4 4 6 12 13 12 11 10 10 10 9 8 8 9 9 9 8 7 7 8 8 9 9 8 7 8 7 6 6 6 6 7 6 6 7 7 7 7 nan
nan 5 7 7 7 7 9 8 8 9 9 8 9 8 9 9 6 4 4 6 9 10 10 9 7 7 8 9 8 7 9 11 8 7 7 8 9 7 8 10 9 8 8 7 5 4 5 6 6 6 7 8 9 9 9 9 8 7 7 8 7 6 6 7 7 7 8 10 10 8 7 8 9 9 8 7 6 6 6 7 7 8 9 8 7 8 7 6 6 8 9 8 8 10 10 10 9 9 7 4 6 8 6 4 4 8 9 9 9 7 8 9 9 10 11 10 8 7 6 6 7 6 6 4 1 2 4 4 3 6 11 15 12 9 10 11 10 10 9 8 8 9 9 8 8 8 9 9 9 9 8 6 7 8 8 7 7 7 7 7 8 8 8 8 8 nan
nan 5 8 8 7 6 8 9 8 7 7 7 8 6 7 9 8 7 6 7 10 11 10 9 7 6 7 7 7 6 8 10 9 7 8 10 10 8 7 8 7 8 10 11 9 7 7 9 9 9 9 10 11 10 8 9 9 9 10 11 9 5 5 7 9 9 9 9 10 8 7 7 9 10 8 7 7 8 8 8 7 6 8 10 8 8 7 8 8 8 7 10 10 9 8 8 9 11 11 7 5 6 5 4 6 9 9 9 8 7 10 13 11 9 10 10 9 9 8 7 9 10 10 9 6 3 4 6 6 6 8 11 11 8 9 8 8 9 9 9 8 9 8 8 8 8 8 9 9 9 8 6 6 8 8 7 7 8 7 7 8 9 9 8 8 nan
nan 7 8 8 7 7 8 10 8 6 5 7 7 6 6 6 7 8 7 8 11 11 10 9 7 6 7 8 7 6 7 9 7 6 8 10 9 7 6 7 5 4 9 13 12 9 10 12 11 9 9 10 11 11 10 9 9 9 10 14 12 7 6 7 9 11 10 10 11 9 6 6 9 10 9 7 7 8 8 7 6 5 6 10 10 7 7 8 9 9 7 8 11 9 7 6 8 11 13 11 8 7 5 5 6 10 10 9 9 10 11 10 8 7 8 9 9 10 9 9 9 9 9 9 8 8 8 8 10 9 8 6 5 8 10 8 7 7 8 9 9 9 8 9 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 11 8 6 7 7 8 8 8 6 6 7 7 7 7 5 5 8 8 8 10 11 10 8 7 7 8 9 8 8 9 9 7 6 8 8 8 6 8 8 5 4 8 12 14 12 12 11 10 8 7 8 10 10 8 7 7 8 11 13 14 11 8 6 7 9 10 11 11 9 5 5 7 10 10 8 7 7 8 7 5 4 6 9 9 8 7 8 10 10 8 7 8 8 7 6 8 10 12 12 11 9 8 7 8 9 8 8 9 9 7 4 3 5 8 9 8 7 7 8 9 9 8 8 9 10 9 8 8 8 6 3 1 7 13 11 10 9 10 8 8 8 8 8 8 8 8 9 10 9 9 9 8 7 7 7 8 8 8 7 7 8 8 9 9 nan
nan 13 9 5 5 6 7 7 8 8 7 7 7 8 9 8 6 7 7 6 7 9 9 7 8 8 8 9 9 9 9 10 9 9 9 8 7 6 7 7 6 7 9 11 12 13 11 9 8 7 6 7 8 7 5 5 7 9 11 11 12 12 9 7 6 6 9 11 11 8 5 4 6 9 9 8 7 8 7 6 4 3 6 9 8 7 7 8 9 9 9 7 6 6 6 7 8 8 9 11 11 9 8 9 9 6 5 7 10 9 5 3 5 6 8 9 9 8 8 8 8 9 9 9 9 9 8 9 8 5 3 6 6 13 14 9 7 9 12 11 9 7 8 8 8 8 9 10 9 8 8 8 8 8 7 8 8 8 8 8 7 7 8 9 9 nan
nan 12 9 6 5 6 7 9 10 10 8 6 6 7 9 9 7 6 6 5 6 8 7 7 9 8 8 7 8 8 10 10 10 10 10 8 7 9 7 6 6 7 9 10 9 10 10 8 7 6 7 7 7 5 4 7 9 10 9 7 8 10 11 10 9 7 7 10 10 7 6 5 5 6 8 9 8 8 8 6 5 5 6 7 9 9 8 7 7 7 8 8 7 6 6 7 7 7 6 9 11 10 8 9 9 5 5 7 9 9 7 6 8 7 8 9 9 9 9 10 9 8 8 9 9 8 8 10 10 9 8 6 8 14 11 6 4 5 8 10 8 7 8 10 10 9 10 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 nan
nan 11 9 8 8 9 11 11 11 11 10 7 5 6 9 8 7 6 5 6 7 8 7 7 9 8 7 7 7 7 9 10 8 8 8 7 8 12 10 7 6 5 6 7 7 7 8 9 8 7 8 8 7 7 9 9 9 8 6 5 6 8 10 12 13 11 8 8 10 9 7 6 5 3 7 10 9 8 7 7 6 9 7 6 9 10 9 7 7 8 8 8 8 6 7 8 9 8 6 6 9 11 10 9 8 7 6 8 9 9 8 9 9 9 8 7 6 8 8 8 9 9 9 8 8 9 9 8 7 8 12 9 9 7 3 4 8 11 8 6 4 6 10 14 11 9 10 10 9 9 8 7 8 8 9 9 8 7 7 7 7 7 7 8 9 nan
nan 12 10 9 9 10 10 9 9 11 11 7 4 7 9 7 6 7 7 7 9 9 7 7 8 7 7 7 7 7 8 8 7 7 7 7 8 11 11 9 9 7 5 4 5 6 8 10 10 9 8 9 9 9 10 10 9 7 5 6 8 7 7 10 13 13 9 8 10 10 9 8 6 3 5 10 10 9 8 8 9 11 9 6 8 10 8 7 9 10 10 9 9 9 9 11 12 10 7 5 6 8 10 9 8 9 10 9 9 9 9 10 9 9 9 7 6 7 9 7 7 8 10 8 6 8 9 8 5 5 8 9 9 5 3 5 11 13 8 3 2 4 11 16 13 10 9 9 9 9 9 8 8 9 9 9 8 7 8 8 7 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 8 9 10 13 17 22 22 17 16 17 16 12 10 8 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 4 3 3 4 4 4 2 1 0 0 0 0 0 2 7 10 10 8 7 7 7 6 7 7 7 7 7 6 5 5 5 6 6 6 6 6 6 6 5 5 5 7 11 17 22 27 27 24 22 17 11 8 5 4 5 7 7 5 4 4 3 3 2 2 1 1 3 3 1 0 0 0 5 12 20 22 23 24 23 19 15 13 11 11 9 7 6 3 2 0 1 9 18 24 22 12 3 0 0 0 0 5 16 22
9 12 12 11 12 17 21 20 15 16 18 15 11 10 10 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 5 5 5 5 4 4 5 5 5 5 4 5 5 4 4 5 5 4 4 4 4 4 5 5 5 4 2 1 0 0 1 1 3 7 10 10 8 8 8 7 7 6 6 6 5 5 6 7 7 7 7 6 6 7 6 6 6 5 5 5 6 9 13 18 22 23 22 22 20 15 10 8 11 14 13 10 6 4 4 4 3 2 2 2 3 4 3 0 0 0 3 9 16 22 25 27 29 28 25 24 24 20 16 12 9 7 6 4 2 6 17 24 23 14 5 1 0 0 1 9 23 20
7 15 14 12 12 15 19 18 16 17 18 14 11 10 10 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 1 1 2 3 4 5 5 6 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 5 4 3 2 2 3 3 4 8 12 11 10 9 9 8 7 6 5 4 4 7 10 12 12 12 11 10 9 8 7 7 7 6 6 6 8 9 11 14 15 17 25 30 29 21 14 13 16 16 15 11 7 5 5 4 3 3 3 3 4 4 2 0 0 1 4 12 22 28 30 31 30 26 24 25 25 22 19 15 12 10 8 6 8 14 20 22 17 10 4 1 2 7 18 23 15
3 10 14 13 12 14 18 18 18 19 17 13 12 12 11 6 5 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 2 5 6 7 6 6 5 4 4 4 5 8 9 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 4 4 4 4 3 4 8 12 12 10 9 9 8 6 5 4 4 6 9 12 13 14 16 18 16 12 9 9 9 9 9 9 10 10 10 10 12 11 19 30 35 30 19 13 15 16 15 13 10 6 6 6 5 4 4 4 4 4 3 2 0 0 3 12 24 29 30 28 24 19 15 15 18 20 22 25 26 21 16 12 10 12 17 21 20 15 8 5 6 11 19 18 9
2 9 13 12 12 14 17 19 20 20 16 13 14 15 13 8 6 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 2 4 6 7 7 6 4 3 3 3 5 10 13 5 4 4 4 4 5 6 7 7 6 6 5 5 6 5 4 4 4 4 4 3 2 6 10 11 10 9 9 8 7 6 6 6 8 10 11 13 15 18 19 16 11 11 11 11 11 11 12 12 11 11 10 9 12 21 30 31 21 14 16 14 12 10 10 6 6 7 6 5 5 5 4 4 4 3 2 2 6 18 28 30 27 24 20 14 10 9 10 14 18 26 33 35 32 25 17 12 15 20 21 18 11 8 10 11 12 11 4
4 9 12 11 11 14 18 21 22 20 17 15 16 16 14 8 5 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 1 2 4 5 5 6 6 4 3 2 2 3 6 10 6 4 4 4 4 5 6 7 8 7 6 6 6 6 5 3 4 4 4 5 4 4 2 3 6 9 10 10 10 9 9 9 9 8 8 9 11 13 15 15 15 13 13 13 13 14 13 13 13 12 12 11 11 12 15 19 20 16 14 17 15 12 9 7 6 7 8 7 6 5 5 6 5 4 4 4 6 15 28 32 28 23 19 15 10 7 6 7 9 12 16 26 36 41 39 33 24 20 18 18 17 12 9 10 11 10 8 3
4 8 10 11 11 13 18 22 23 19 17 17 18 18 12 6 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 1 2 2 2 3 4 4 4 3 2 2 2 2 5 5 5 4 4 4 5 6 8 8 7 6 6 7 7 6 4 4 5 5 5 6 5 4 2 2 4 7 10 11 11 10 10 10 10 8 8 9 11 12 14 14 13 15 16 17 17 16 15 14 14 13 13 13 13 13 14 13 12 14 18 18 17 14 9 6 7 8 7 6 5 5 6 6 6 5 4 9 26 34 28 20 14 10 8 7 6 5 5 5 6 10 16 28 40 45 46 41 29 15 14 15 12 9 10 14 18 15 7
2 5 9 11 10 11 17 22 22 19 18 18 18 15 6 5 4 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 1 1 1 1 2 3 4 4 3 3 2 2 2 3 4 4 4 4 5 6 7 8 8 7 7 7 7 7 6 5 5 5 5 5 5 6 5 4 3 2 2 5 8 11 12 11 11 10 9 9 12 12 12 11 10 11 13 15 16 16 16 16 16 15 14 14 14 14 13 14 15 14 15 18 20 22 20 16 12 9 8 7 6 6 5 6 7 7 6 6 12 26 28 18 10 6 3 2 3 5 6 5 4 4 7 10 18 33 43 57 52 39 19 13 12 11 10 10 18 22 20 13
1 4 9 11 10 10 15 20 20 18 18 17 14 10 5 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 1 1 0 0 0 0 2 4 4 5 4 3 3 3 2 2 2 2 2 4 6 7 8 8 7 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 4 3 2 1 3 6 10 13 12 12 12 14 16 16 16 15 13 11 10 11 12 13 13 13 13 13 13 13 14 16 17 18 18 17 16 18 20 22 22 23 21 18 13 8 6 5 5 6 7 8 7 6 10 20 18 11 7 3 1 0 1 4 6 6 8 9 10 10 12 24 37 52 60 51 33 17 12 13 17 22 24 23 20 16
2 4 9 10 9 10 14 17 17 16 16 14 9 7 6 4 4 1 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 1 2 4 6 6 6 5 5 5 4 3 1 1 1 4 6 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 3 2 2 5 11 14 16 17 19 20 19 21 21 19 16 13 11 11 12 12 14 14 15 16 16 18 21 20 19 15 11 11 13 17 20 22 25 26 24 19 13 7 5 4 6 7 8 8 7 8 13 8 6 4 2 0 0 0 1 2 5 9 13 14 13 11 17 30 45 60 63 48 28 16 16 20 24 25 23 20 15
2 5 8 9 9 10 12 14 13 13 12 10 7 6 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 3 4 4 2 1 1 1 2 4 6 7 7 6 7 6 4 3 2 2 3 4 5 6 6 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 10 14 17 19 19 19 20 22 24 25 23 19 16 16 16 17 19 20 21 22 22 23 22 19 14 7 4 5 6 9 14 19 23 24 24 22 17 9 4 4 5 7 7 9 11 11 8 5 4 2 1 0 0 0 0 0 1 8 13 15 15 12 17 26 38 55 67 60 39 23 17 18 22 23 23 20 16
3 5 7 7 8 9 10 10 9 9 8 7 6 7 6 4 2 0 0 0 0 0 0 0 2 6 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 4 3 2 2 2 3 4 5 5 5 5 4 3 3 3 4 5 5 5 5 4 4 4 5 5 4 4 3 4 5 5 5 5 5 4 4 4 4 4 4 6 10 12 11 11 12 14 16 18 20 22 23 24 25 26 26 25 23 23 24 25 25 25 24 24 24 23 19 16 12 8 7 6 7 8 11 15 19 22 23 22 18 11 5 4 5 9 13 15 13 10 8 6 4 2 0 0 0 0 0 0 0 5 9 11 12 10 13 20 31 48 64 66 50 30 19 16 19 22 23 21 17
3 3 4 6 7 9 9 9 9 8 8 7 6 6 4 0 0 0 0 0 0 0 0 2 8 15 18 13 6 2 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 3 3 3 2 1 0 1 2 2 2 2 3 4 4 4 5 5 4 4 4 4 5 5 5 4 3 3 4 5 5 5 5 6 7 6 5 4 4 6 10 16 14 12 12 12 13 15 15 16 18 21 23 26 27 28 28 28 27 28 28 27 27 26 26 25 23 21 19 16 15 14 14 15 16 16 18 20 22 23 22 19 14 6 4 3 10 10 8 7 7 6 4 2 1 0 0 0 0 0 0 0 2 4 7 8 7 7 10 21 37 58 74 63 38 22 16 16 22 24 22 19
2 2 2 4 6 8 9 10 9 8 8 7 6 4 1 0 0 0 0 0 0 1 3 6 10 15 16 13 8 2 1 0 0 0 1 2 3 4 4 2 2 2 3 3 3 3 3 3 2 1 0 0 0 0 1 2 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 7 12 15 13 8 5 5 7 12 16 13 12 12 12 12 14 15 15 14 14 18 24 29 31 32 32 31 29 28 27 27 25 25 24 24 25 25 24 22 21 21 21 20 20 20 21 22 24 23 21 17 12 7 4 8 8 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 4 7 7 4 2 9 24 47 79 77 46 26 19 17 24 26 24 22
1 1 2 4 6 7 8 9 9 8 8 8 5 2 0 0 0 0 0 0 1 3 4 5 6 6 4 2 1 0 0 0 0 0 3 7 7 6 6 7 8 6 4 3 1 1 2 3 4 2 1 1 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 6 6 12 21 25 22 15 9 5 6 12 16 15 15 14 13 12 12 13 14 14 15 22 32 37 38 37 36 35 32 29 26 25 24 23 23 24 25 27 26 24 23 23 22 22 22 21 22 22 22 23 23 22 19 15 12 10 7 4 3 1 0 0 0 0 1 1 0 0 0 0 0 0 0 4 12 16 13 5 2 10 35 75 86 57 33 24 22 25 27 26 24
0 0 2 4 6 7 8 8 8 8 8 7 4 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 0 0 0 0 0 0 1 4 6 6 6 6 8 8 6 5 3 3 3 4 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 8 14 22 26 25 21 15 9 7 11 18 20 20 18 16 14 13 13 14 18 27 38 45 45 40 37 35 33 30 27 26 27 26 25 26 25 26 26 25 25 26 27 28 28 27 26 26 25 26 26 27 26 25 23 20 14 7 3 0 0 0 0 0 1 3 2 1 0 0 0 0 0 1 7 19 30 28 18 8 5 26 66 88 65 40 28 25 27 28 28 26
0 0 2 4 7 7 7 7 8 9 8 7 4 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 5 4 4 5 4 2 2 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 6 5 6 6 6 6 6 7 9 14 18 22 25 26 21 15 12 13 19 22 21 19 16 15 16 19 23 31 43 51 53 48 40 33 30 27 25 25 30 38 44 47 43 38 33 30 29 29 33 38 39 40 38 38 36 32 33 34 33 31 30 30 26 18 9 4 1 1 0 0 0 2 5 6 4 1 0 0 0 0 2 8 22 36 40 30 16 8 20 58 87 71 46 32 28 28 30 30 27
0 0 2 5 7 8 8 8 9 9 9 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 1 2 2 1 2 3 4 4 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 6 7 7 8 8 7 7 7 10 14 17 21 26 29 27 22 18 19 22 21 20 18 16 18 22 27 32 39 48 56 58 54 45 36 31 28 28 31 39 49 57 60 58 51 48 48 44 39 42 46 46 45 44 42 39 36 35 34 32 30 30 31 27 19 14 10 6 5 3 2 1 2 5 7 7 4 1 0 0 0 1 5 17 33 45 40 26 16 18 50 77 70 50 38 35 32 31 29 26
0 1 2 6 8 9 8 8 8 9 8 6 4 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 1 2 4 4 5 5 4 4 4 4 5 5 5 5 5 6 7 8 8 8 8 9 10 13 13 11 10 11 15 19 21 23 27 29 29 27 24 24 24 22 21 21 22 24 29 35 42 48 55 60 60 58 54 48 42 39 40 43 48 54 56 54 50 46 46 52 54 50 48 47 45 44 42 39 36 35 32 27 24 24 27 29 28 25 23 22 17 12 6 4 2 2 5 7 7 5 2 0 0 0 0 1 8 26 45 49 37 24 24 46 68 63 44 33 31 32 30 29 26
0 1 3 7 10 10 8 7 7 8 8 6 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 1 2 4 5 5 5 4 4 5 5 5 5 5 5 6 9 10 9 9 9 10 11 12 14 15 14 13 16 21 24 25 24 24 24 26 27 26 26 25 24 25 29 31 34 38 44 50 56 60 60 59 58 58 56 53 51 50 50 51 52 49 43 37 36 38 43 49 52 52 49 46 45 42 38 35 33 30 25 22 24 29 32 35 34 32 30 25 13 6 3 2 3 5 4 3 3 2 0 0 0 0 0 4 18 41 56 48 34 36 60 77 61 40 29 25 24 24 26 28
1 2 4 8 10 10 7 6 6 7 7 5 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 2 4 4 4 5 4 5 5 5 6 6 5 5 6 9 11 9 6 6 9 15 16 13 11 10 9 11 16 21 22 20 18 16 17 20 23 26 27 26 27 31 38 42 46 51 54 56 58 58 56 53 52 54 56 57 55 52 51 49 47 44 38 36 38 41 45 48 52 54 53 52 51 50 47 43 40 38 37 36 36 36 38 40 38 33 26 16 8 5 2 0 1 2 1 1 1 0 0 0 0 0 0 3 11 30 51 58 53 57 81 96 70 43 31 24 20 18 22 28
2 2 5 8 10 8 6 5 6 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 1 3 4 4 2 1 0 0 1 1 2 5 6 5 5 5 5 5 5 5 6 6 6 6 8 10 11 7 3 2 6 17 20 14 8 6 6 8 12 14 12 10 9 10 12 15 19 24 29 32 34 38 43 47 51 53 53 52 50 48 46 44 43 46 52 55 53 51 49 46 43 41 41 44 48 51 53 54 55 55 55 55 54 55 57 57 56 56 56 56 54 47 43 43 39 30 19 10 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 2 7 19 38 61 75 86 104 111 82 51 36 26 20 18 22 29
3 4 7 9 8 6 5 5 6 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 1 3 7 9 8 4 1 0 0 1 2 5 10 11 9 8 8 7 8 8 8 8 7 7 8 10 11 10 6 1 0 5 18 20 12 5 3 4 5 6 6 5 4 5 7 10 14 17 22 29 33 35 38 40 43 43 43 43 43 41 37 33 29 27 29 36 43 47 49 48 44 41 41 45 50 55 56 57 56 54 54 53 52 51 53 57 61 64 66 66 62 58 54 49 45 40 32 21 12 10 7 4 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 23 44 69 98 123 129 93 60 42 32 25 22 26 32
4 8 10 9 7 5 4 4 5 4 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 5 9 11 9 6 2 1 0 1 1 1 4 10 15 14 14 14 14 15 16 16 17 16 14 12 11 11 8 4 0 0 7 20 19 10 3 2 2 2 2 3 3 4 6 9 11 13 16 20 25 27 27 28 30 31 31 33 35 37 32 23 14 10 8 8 13 23 36 45 47 44 42 44 49 55 56 56 56 55 51 49 47 43 41 44 48 55 64 67 62 52 45 46 46 45 44 39 32 26 20 14 10 5 2 1 0 0 0 0 0 0 0 0 0 1 2 6 12 26 43 77 114 130 108 78 56 42 33 29 32 38
5 10 13 10 7 5 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 1 4 8 12 13 10 6 2 1 1 3 4 4 2 1 5 10 12 13 15 18 20 21 22 24 23 20 15 12 9 6 3 0 0 9 19 17 9 4 2 2 1 2 3 5 7 9 10 10 11 13 17 21 22 22 21 21 20 20 22 28 27 17 6 1 0 0 0 1 7 20 35 43 45 44 45 52 57 56 55 55 55 50 43 36 31 30 33 37 42 46 45 40 30 24 26 30 34 37 37 37 35 31 26 23 18 14 9 4 1 0 0 0 0 0 0 0 1 3 4 7 15 25 44 74 106 118 106 82 60 46 39 40 45
7 12 14 12 8 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 2 8 14 16 14 10 4 1 2 4 7 10 10 5 2 2 6 8 10 10 12 15 16 17 18 19 18 15 10 7 4 2 0 1 6 12 12 9 6 5 4 3 2 4 6 9 9 7 6 7 9 12 16 18 20 20 19 17 14 12 12 8 3 0 0 0 0 0 0 2 10 25 38 43 45 48 55 58 56 53 50 47 39 30 25 24 27 30 30 28 24 14 12 8 7 8 13 21 26 29 32 36 37 36 36 34 29 22 13 6 2 0 0 1 1 1 1 2 4 5 5 8 15 25 40 70 106 125 115 88 65 52 50 53
7 11 14 13 9 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 2 7 14 17 17 14 8 4 2 3 6 10 12 11 8 5 4 6 7 8 8 8 9 10 10 11 12 12 12 8 6 4 1 0 0 2 5 6 7 8 8 6 5 4 5 6 7 7 4 2 3 5 8 12 15 18 20 18 14 9 6 3 0 0 0 0 0 0 0 1 4 9 21 35 42 45 51 57 56 51 42 35 28 20 16 16 21 25 25 18 11 5 0 0 0 0 0 4 13 22 26 30 32 36 39 41 40 36 31 22 12 6 3 4 5 5 4 3 4 5 6 5 4 7 15 24 41 75 113 132 120 93 71 64 63
4 8 11 11 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 2 6 14 20 19 15 9 4 2 2 4 7 10 10 8 7 7 7 8 8 8 7 7 7 8 9 10 11 12 12 10 8 6 2 0 0 0 1 2 4 6 7 8 8 7 6 3 1 0 0 3 1 1 5 9 12 14 14 11 7 4 2 0 0 0 0 0 0 0 0 3 8 14 23 34 44 50 55 54 46 34 21 15 11 7 7 12 16 18 11 4 0 0 0 0 0 0 0 2 10 18 23 26 28 30 33 36 36 36 34 28 21 16 14 15 16 13 8 7 8 9 9 7 6 6 12 21 32 52 85 121 138 122 96 82 76
2 4 6 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 1 5 12 19 22 15 6 2 0 0 2 4 7 9 8 5 4 4 6 8 8 7 6 6 7 8 10 11 12 14 14 12 9 6 2 0 0 0 0 0 0 2 3 5 7 7 5 1 0 0 0 2 1 0 2 5 7 7 5 2 1 0 0 0 0 0 0 0 0 0 0 2 6 11 18 25 36 47 43 30 16 5 1 1 2 1 3 8 10 8 2 0 0 0 0 0 0 0 0 1 5 12 17 17 20 22 22 24 26 28 29 29 30 33 37 38 34 27 20 15 12 12 13 13 12 12 16 25 35 46 63 96 133 134 120 102 91
0 2 3 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 1 4 10 18 22 19 9 2 0 0 0 2 5 7 7 5 2 1 1 2 3 4 4 4 4 6 7 9 10 12 14 14 12 9 5 2 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 13 9 4 1 0 0 0 0 0 0 1 3 3 2 0 0 0 0 0 0 0 0 0 0 1 4 8 7 10 10 10 11 12 14 16 20 31 42 49 51 48 42 35 29 23 18 17 19 20 22 26 32 41 48 53 74 115 136 138 127 112
0 1 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 1 4 10 17 20 15 6 1 0 1 2 4 5 4 4 2 0 0 0 0 0 1 1 1 2 2 3 5 6 8 11 12 12 9 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 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 0 0 0 0 0 2 1 1 2 2 2 3 4 5 10 20 32 39 46 50 49 48 44 38 32 27 25 28 32 34 37 43 47 49 61 90 120 141 146 136
1 1 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 1 4 10 14 10 6 4 3 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 8 8 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 1 3 8 16 26 36 45 50 55 56 54 50 44 39 36 38 39 41 43 43 43 48 64 93 126 152 156
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 1 4 7 8 8 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 30 40 49 58 64 65 66 62 57 52 48 47 47 45 43 40 41 47 66 98 138 162
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