Vorticity
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nan 4 4 6 7 15 22 15 5 5 5 4 4 4 5 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 3 3 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 5 6 6 5 4 4 5 5 6 6 5 5 4 4 3 4 4 4 5 5 6 7 7 7 6 6 5 3 2 2 1 1 2 3 4 5 4 4 5 5 5 5 5 5 5 5 6 7 7 6 6 6 6 7 8 8 8 8 7 6 3 2 3 4 6 6 7 6 5 4 3 3 4 4 5 5 4 3 4 7 8 7 6 4 2 -2 -2 1 nan
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nan 6 7 9 8 7 6 6 9 10 7 6 6 7 8 7 6 6 5 6 8 11 13 12 9 7 7 7 7 8 6 5 5 6 8 11 12 11 8 9 10 9 9 9 9 8 8 8 8 8 7 6 7 9 9 8 8 9 9 8 8 7 6 6 8 9 9 9 9 8 8 8 7 7 8 8 7 7 7 8 8 7 7 7 6 7 8 7 8 8 8 8 8 7 5 5 6 7 6 4 3 4 8 9 7 8 11 10 9 8 9 8 6 2 1 2 4 5 6 5 3 3 5 4 7 12 14 15 15 13 7 6 8 10 9 8 8 9 9 8 8 8 7 6 4 5 6 8 7 7 8 8 8 7 5 6 7 7 7 6 5 5 5 5 5 nan
nan 9 9 9 7 6 5 6 8 8 7 7 7 7 8 8 8 7 7 8 10 12 12 10 6 5 6 6 7 7 6 6 7 6 6 8 9 8 6 5 5 6 7 7 7 7 6 7 8 10 9 8 7 7 8 8 9 10 9 9 8 8 6 6 7 8 8 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 8 9 9 7 5 6 8 9 6 3 3 7 8 7 8 10 11 11 10 9 9 7 5 3 2 2 3 3 2 3 5 5 6 8 12 12 12 10 8 4 4 9 13 14 12 9 8 8 8 8 7 7 6 4 5 6 7 7 6 6 7 8 6 5 7 8 8 8 8 7 5 5 5 5 nan
nan 9 7 7 7 7 6 6 6 7 8 9 9 8 8 9 8 8 8 9 10 11 10 8 5 4 5 6 8 7 6 6 7 7 7 6 4 4 7 6 4 5 6 6 6 7 6 5 8 9 9 7 6 7 8 9 10 10 10 8 7 8 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 7 6 6 7 7 6 6 7 6 5 5 7 10 12 12 10 9 8 7 7 5 5 7 7 3 0 2 3 5 7 10 9 7 6 7 10 11 13 15 15 14 10 8 8 9 8 7 6 4 4 4 4 5 6 5 5 6 6 6 7 9 10 9 9 9 8 6 6 5 4 nan
nan 7 7 6 7 9 8 5 5 8 10 10 9 8 9 10 8 7 7 8 9 9 9 7 4 4 5 6 6 6 6 6 6 5 6 5 3 4 7 9 7 6 5 5 6 6 5 6 6 7 6 6 6 8 9 10 10 9 9 8 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 6 4 4 7 8 8 6 4 3 4 6 9 13 14 12 11 9 9 9 8 8 8 6 3 3 1 1 5 8 8 8 7 6 8 12 14 14 13 11 12 11 10 10 9 8 7 6 4 3 4 5 5 5 5 6 5 5 6 8 10 10 10 10 11 10 8 7 6 5 nan
nan 5 8 8 7 9 9 5 3 7 10 10 9 8 9 11 9 8 7 7 9 10 10 6 3 4 6 6 4 4 5 5 5 6 6 6 7 8 9 10 10 7 5 4 5 5 5 7 6 6 6 7 8 8 8 7 8 9 10 10 8 6 8 9 9 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 7 7 7 7 7 6 8 8 7 5 4 4 7 9 8 3 1 2 6 8 9 11 12 12 12 11 10 10 11 11 10 8 6 5 5 5 6 5 5 6 8 7 7 10 12 10 7 8 10 11 11 10 9 8 7 6 6 5 5 6 8 8 7 6 3 4 6 8 9 10 11 11 12 12 11 9 8 6 nan
nan 4 9 10 8 6 8 7 4 4 6 8 8 7 8 10 10 10 8 8 10 10 8 5 3 5 7 6 3 2 5 5 5 7 8 8 9 10 10 11 10 9 6 6 6 6 6 6 7 7 8 9 9 8 7 8 8 8 10 11 9 7 8 8 9 9 8 8 8 8 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 7 6 6 7 7 7 6 6 6 7 8 7 3 1 3 6 8 10 9 8 8 10 11 10 10 11 12 12 11 10 10 10 9 7 5 2 4 6 6 5 5 6 6 8 10 9 10 11 10 8 6 6 6 6 7 8 9 10 11 9 5 2 2 4 6 7 7 9 10 11 13 14 12 10 7 nan
nan 6 9 10 7 5 6 8 6 3 3 6 7 7 7 9 9 10 9 10 11 10 8 5 4 4 7 6 4 4 6 6 4 5 7 8 9 10 11 10 9 8 7 8 8 8 7 6 7 8 9 9 8 8 8 9 9 9 10 11 10 9 8 8 8 9 9 8 8 8 7 7 8 9 9 8 7 8 8 7 8 8 8 7 7 7 8 8 8 8 7 6 6 6 7 7 7 8 8 7 7 7 5 4 4 6 8 9 8 7 6 7 10 11 10 10 10 11 11 12 12 11 11 10 8 6 5 6 7 6 5 4 3 6 11 12 12 10 9 7 4 4 6 9 10 11 11 12 11 8 5 3 2 3 4 6 7 8 9 10 12 13 13 11 8 nan
nan 9 9 7 7 6 6 6 5 3 4 6 7 7 8 9 9 9 9 9 10 9 8 6 4 4 6 7 6 7 7 7 5 3 5 7 8 9 11 9 7 7 8 9 10 9 9 7 7 9 9 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 9 8 8 8 7 7 6 7 8 8 8 8 7 8 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 6 6 6 7 8 8 7 7 7 6 7 8 7 6 6 8 10 10 9 8 9 9 10 11 11 11 11 11 11 9 9 8 7 7 5 3 5 8 11 12 11 10 7 6 6 8 12 13 13 12 12 9 6 4 3 3 4 5 6 8 10 10 10 11 12 12 12 10 nan
nan 10 8 5 6 6 6 4 5 6 6 6 6 7 9 10 9 9 9 8 9 9 8 6 5 5 6 8 8 9 8 7 6 5 6 8 8 8 8 8 8 7 7 8 9 10 11 9 8 8 8 7 7 7 8 7 7 8 9 9 10 10 9 8 8 8 9 8 8 8 7 6 5 6 7 7 8 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 5 4 4 4 5 6 6 7 7 8 9 10 9 6 4 6 7 7 6 7 8 8 8 9 9 10 10 9 9 10 11 11 12 13 13 11 8 5 3 5 7 7 8 8 10 11 12 10 7 7 9 11 13 13 13 11 7 4 3 2 3 4 5 7 9 10 11 11 10 11 12 11 11 nan
nan 11 9 5 5 6 7 7 6 8 8 6 5 6 9 10 9 7 7 7 9 9 7 6 7 6 6 8 9 10 9 8 7 8 9 9 7 6 7 7 7 9 10 9 8 10 11 9 8 8 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 9 9 9 9 8 7 5 5 6 7 7 7 6 6 6 5 6 5 5 5 6 6 6 6 6 6 6 5 4 4 5 7 8 8 8 8 9 10 9 5 4 6 7 7 7 8 8 8 7 8 9 10 10 10 11 11 11 12 12 12 11 10 10 8 4 3 7 9 7 8 10 10 10 8 6 6 8 10 11 11 11 9 7 4 3 2 3 5 6 8 9 10 11 11 11 11 11 11 12 nan
nan 12 11 7 6 8 10 10 8 8 8 6 4 5 7 8 7 5 6 7 9 10 7 7 8 7 6 8 9 9 10 10 8 8 9 8 5 6 7 7 7 8 10 11 10 8 8 7 7 8 9 10 7 7 8 8 9 8 8 9 8 8 8 9 9 9 9 9 10 10 10 9 8 6 5 6 6 5 5 5 5 6 7 7 7 7 6 5 5 4 5 6 7 6 6 7 7 8 8 8 7 7 8 9 8 7 6 6 7 7 8 9 9 8 7 8 9 8 8 10 10 10 10 10 10 9 8 9 10 11 12 9 5 3 2 5 8 8 7 6 5 5 7 9 10 10 10 8 6 4 3 4 5 6 8 9 10 10 11 11 10 10 10 12 13 nan
nan 15 14 11 8 10 11 9 8 10 9 6 3 5 8 6 4 5 7 9 12 11 7 8 9 7 6 6 7 8 9 9 8 7 7 6 4 5 7 7 7 7 8 10 10 7 5 7 8 8 9 10 9 7 8 9 9 8 8 8 7 8 8 9 9 9 9 8 10 11 11 11 10 8 6 6 6 6 6 6 5 6 7 8 7 7 6 6 5 6 6 6 7 8 9 9 10 9 8 7 6 5 6 7 7 6 6 6 6 7 8 9 9 8 7 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 9 10 8 5 4 5 6 6 6 5 5 5 6 9 9 9 9 8 7 6 5 5 6 7 8 9 10 10 10 10 9 10 11 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 5 16 26 21 14 14 16 16 15 15 13 14 14 11 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 0 0 0 0 0 1 2 1 0 0 0 0 1 2 4 5 6 7 7 6 6 5 5 6 6 6 5 4 2 2 1 4 10 13 12 13 14 17 20 23 20 17 14 13 17 23 29 37 40 41 42 45 45 40 34 30 28 29 30 32 35 41 44 45 41 31 22 24 25 22 16 14 16 18 17 11 6 5 6 6 6 6 6 4 1 0 0 0 1 6 10 11 11 16 25 33 36 38 38 40 43 48 53 55 55 54 46 31 12 5 17 37 37 18 3 0 0 0 0 0 0 0
0 1 2 7 19 26 21 16 14 15 15 15 15 13 14 13 9 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 1 2 4 3 2 1 0 2 4 5 7 7 6 5 6 6 5 6 6 6 5 5 4 4 4 8 15 13 10 12 15 20 26 24 21 16 14 15 17 20 24 31 39 44 48 50 51 48 43 40 37 34 30 28 27 28 27 23 19 18 20 21 19 17 16 18 18 15 8 4 5 6 6 6 6 6 5 3 1 0 0 0 3 8 11 14 21 26 26 23 22 21 22 27 35 42 47 52 61 67 67 47 21 15 29 38 27 10 2 0 0 1 3 2 1
2 3 3 8 19 28 24 19 18 18 18 18 16 13 12 11 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 0 0 0 0 0 0 0 0 1 3 5 6 4 2 0 0 2 5 6 6 5 5 5 6 5 6 6 6 6 6 6 5 4 6 15 18 14 10 11 15 19 22 21 18 16 15 16 15 15 16 20 26 32 39 43 46 46 46 44 38 30 20 17 18 16 15 15 15 16 16 16 17 18 17 16 13 7 4 5 6 7 6 6 6 5 3 2 1 0 0 1 6 12 20 28 29 24 19 15 14 13 14 21 29 37 41 47 57 68 73 62 43 32 35 35 24 10 3 4 9 15 12 6
0 0 3 8 19 29 28 22 21 22 20 19 17 14 12 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 1 1 0 0 0 2 5 6 6 4 2 1 3 4 6 6 5 5 6 6 6 6 6 6 6 7 6 6 5 5 8 16 19 12 9 10 12 15 17 17 15 16 17 16 15 12 11 12 15 18 22 31 35 38 41 38 31 23 24 23 21 17 15 14 15 18 19 18 15 13 13 13 9 6 6 6 7 7 6 6 5 3 2 2 1 0 0 5 17 30 34 29 23 18 14 12 11 11 13 17 25 31 36 42 50 67 82 76 55 39 36 36 26 15 12 15 23 24 17
0 0 4 8 18 28 28 23 21 21 19 18 17 13 8 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 1 4 5 5 5 4 3 4 5 5 6 6 6 6 6 6 7 7 6 6 7 6 6 6 6 6 7 15 16 12 11 10 10 12 13 14 15 16 16 16 14 11 9 10 11 13 13 18 21 26 24 23 22 30 31 27 20 15 14 16 20 19 14 8 6 7 9 8 7 7 7 7 7 6 5 5 6 6 4 2 1 2 10 24 33 33 28 23 19 15 13 12 12 12 12 14 18 26 32 37 48 70 88 79 52 36 39 37 27 19 18 24 28 25
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0 1 4 11 18 20 18 17 16 14 12 11 9 4 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 0 0 0 0 0 1 3 5 6 5 5 5 4 3 3 3 4 4 5 5 5 4 4 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 11 14 15 12 10 9 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 9 8 8 9 12 18 21 15 8 4 5 5 5 5 4 4 4 4 4 4 4 3 3 6 10 14 16 18 23 28 36 36 27 24 20 14 9 7 8 9 8 6 2 1 3 10 19 26 32 45 53 67 92 82 54 38 39 42 41 38 36 32
0 1 6 11 15 16 16 16 15 13 12 10 6 4 4 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 1 2 3 4 5 6 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 8 10 11 12 13 14 14 15 15 15 13 11 10 9 9 8 8 8 8 7 7 6 7 7 7 8 8 8 9 9 10 12 18 22 19 9 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 6 9 15 19 27 34 37 31 24 19 14 8 3 2 3 5 5 3 2 2 5 14 23 29 31 42 51 59 82 92 74 49 37 36 36 37 36 33
1 3 8 10 10 11 12 13 12 11 11 10 5 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 1 4 6 6 6 6 6 5 4 3 3 4 5 5 6 7 5 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 13 14 14 17 20 21 18 15 15 16 19 23 26 26 23 20 18 10 10 8 8 8 9 9 9 9 10 11 13 15 16 20 23 23 18 10 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 13 20 28 31 29 22 17 11 6 2 0 0 0 0 1 1 3 7 12 20 27 30 32 38 45 51 67 88 91 67 41 29 28 30 33 32
2 4 8 9 8 9 11 10 8 8 9 7 5 5 4 4 2 1 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 1 4 6 7 7 6 6 6 6 5 3 3 3 4 6 8 12 16 15 8 5 4 3 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 16 14 12 14 19 22 18 14 15 18 24 34 41 44 44 43 40 35 24 16 12 12 13 14 15 15 16 17 19 21 23 24 23 20 17 12 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 11 20 22 20 17 13 9 6 2 0 0 0 0 0 0 0 3 9 14 20 23 24 25 30 39 46 55 76 94 84 51 29 23 25 28 28
3 5 7 7 8 9 10 9 7 7 7 6 5 4 4 4 2 0 0 0 0 0 0 2 5 8 6 2 0 0 0 0 0 0 0 1 4 7 8 7 6 5 4 4 4 4 3 3 4 6 8 11 15 18 14 7 4 3 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 6 5 8 15 16 15 16 20 21 18 15 14 16 19 26 32 39 44 47 49 49 44 36 31 28 24 25 25 24 22 21 22 22 22 21 18 15 10 7 7 8 8 9 9 9 9 8 7 7 7 8 7 8 8 10 10 8 12 16 10 6 6 5 3 2 1 0 0 0 0 0 0 0 2 6 10 12 14 15 16 20 31 43 52 65 86 91 66 36 23 21 23 25
3 4 5 7 8 9 9 8 7 7 6 6 5 5 6 4 2 0 0 0 0 0 1 5 9 10 8 5 2 0 0 0 0 2 3 4 6 8 8 6 4 4 3 4 4 4 4 4 4 5 5 5 9 9 6 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 8 9 9 11 16 19 20 21 21 20 19 16 14 12 12 14 18 26 33 39 42 46 50 50 50 48 45 41 37 32 26 21 20 19 17 15 14 11 9 8 10 12 14 16 16 16 17 18 18 16 13 10 10 11 13 16 16 16 18 12 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 10 14 19 29 42 54 63 76 95 81 43 22 17 20 24
3 2 4 6 8 8 8 7 7 6 7 6 6 7 8 4 2 0 0 0 0 2 7 10 11 11 10 7 3 0 0 0 2 4 6 6 6 8 7 5 4 3 3 3 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 6 7 9 11 12 14 16 18 20 21 21 20 19 19 21 21 17 13 13 15 21 31 37 41 43 46 48 52 56 55 52 46 40 34 27 22 19 17 15 12 14 14 14 14 16 18 19 19 20 22 24 26 27 26 24 20 18 17 16 17 17 20 21 13 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 15 20 26 36 46 59 67 70 97 91 53 23 15 19 26
2 1 4 6 7 8 7 6 6 7 7 7 7 7 6 4 2 0 0 0 1 8 12 13 12 11 10 9 4 0 0 0 0 2 4 4 5 6 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 1 2 3 4 4 4 5 5 6 7 8 10 13 15 16 18 20 21 23 24 24 24 26 30 34 35 31 25 21 25 35 45 51 54 56 59 60 62 64 62 56 48 38 31 26 22 20 19 20 22 28 33 35 29 27 26 23 22 23 26 29 30 31 31 30 27 26 23 20 18 18 20 19 13 7 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 24 30 37 46 55 66 75 77 96 95 66 34 20 23 29
1 0 3 5 6 6 5 5 6 8 8 8 7 5 4 3 2 0 0 0 6 13 16 14 13 12 10 7 3 0 0 0 0 0 0 1 3 4 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 3 1 0 0 0 1 2 4 4 5 5 5 6 7 8 8 11 13 16 18 21 24 26 28 29 29 33 43 50 52 52 50 44 35 36 45 54 61 64 64 63 64 67 72 75 70 57 41 31 28 26 26 28 35 45 54 57 53 47 39 32 27 27 30 33 36 38 38 37 36 34 34 34 31 30 28 25 21 15 10 7 4 2 1 1 1 0 0 0 0 0 0 0 0 0 3 12 25 32 37 43 59 69 76 81 84 95 101 81 48 30 32 35
2 0 3 4 5 4 4 5 6 8 8 8 6 3 1 4 2 0 0 2 8 13 14 12 10 8 6 2 0 0 0 0 0 0 0 0 0 2 3 2 2 2 2 3 4 4 4 5 5 6 6 5 3 1 0 0 0 1 3 4 5 5 5 6 6 7 8 8 8 8 10 15 21 25 29 31 33 32 31 32 39 46 50 53 54 51 41 38 47 56 61 61 60 59 59 62 69 78 85 80 60 44 37 36 36 41 48 54 55 48 40 35 31 30 32 37 42 44 48 52 57 58 55 54 55 54 53 52 48 39 29 22 16 12 9 4 3 2 2 0 0 0 0 0 0 0 0 1 6 18 30 36 38 45 70 85 88 85 79 86 105 99 65 44 43 42
1 0 2 3 3 2 3 4 7 8 7 6 4 1 3 5 3 0 0 1 4 6 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 4 6 6 6 6 4 2 1 0 0 0 2 4 6 6 6 6 6 7 8 8 9 8 8 8 10 17 23 27 30 31 31 30 28 27 28 30 34 38 40 38 31 29 38 48 52 50 50 50 49 47 49 56 68 79 80 69 58 49 45 47 50 46 36 24 18 20 24 30 38 46 52 55 58 63 68 71 69 66 66 68 68 65 60 49 36 30 27 23 17 10 5 3 2 0 0 0 0 0 0 0 1 4 12 23 31 35 38 52 77 94 97 89 73 70 88 96 77 58 53 46
0 0 1 1 1 1 2 4 6 7 7 5 2 1 4 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 2 4 6 6 5 3 1 1 1 1 3 5 7 8 7 7 7 8 8 9 10 10 9 9 9 12 16 19 20 21 21 21 21 21 22 22 22 22 23 24 22 19 18 23 27 29 30 31 32 31 30 28 30 37 50 66 77 77 66 52 47 42 32 19 14 18 24 31 36 42 47 49 51 54 56 57 58 54 52 54 58 58 54 50 43 36 31 29 28 24 17 8 3 2 2 2 0 0 0 0 0 2 8 17 24 30 35 42 56 76 93 101 96 76 60 68 82 77 63 57 50
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2 1 0 0 0 1 2 2 3 4 3 2 1 3 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 1 2 4 6 7 7 7 7 6 6 6 6 7 8 8 8 8 8 9 11 10 8 8 10 12 12 12 9 6 4 4 4 4 4 5 6 6 7 8 10 12 14 14 14 14 13 11 10 7 4 1 0 0 0 0 2 6 14 27 45 57 60 54 39 24 18 24 38 50 55 45 29 17 10 7 8 10 10 8 6 7 10 12 14 16 19 22 23 21 19 21 23 22 18 16 18 22 21 14 6 1 0 0 3 11 17 23 30 38 44 51 59 72 89 105 109 97 84 77 68 58 51 46
4 1 0 0 0 1 1 1 1 1 1 0 1 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 1 0 0 0 0 0 0 1 3 5 8 10 8 8 8 8 8 8 7 7 8 8 9 9 9 9 10 11 9 7 6 8 10 11 10 7 5 4 4 4 3 3 2 2 2 2 3 5 7 9 11 14 15 14 12 8 3 0 0 0 0 0 0 0 1 4 13 26 39 48 48 39 26 17 18 29 44 49 35 16 6 2 1 1 2 5 5 4 3 3 4 6 9 13 17 17 16 16 18 21 22 21 21 22 23 20 14 6 1 0 2 6 11 16 23 31 38 44 47 51 59 72 89 111 122 118 100 78 60 48 42
4 2 0 0 0 1 1 0 0 0 0 0 2 4 4 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 0 0 0 0 0 0 0 1 3 6 10 12 11 10 10 10 9 8 8 10 12 14 13 11 11 10 10 9 7 6 4 5 8 8 7 5 4 4 4 4 3 2 1 1 0 0 1 2 2 4 7 12 15 14 9 4 1 0 0 0 0 0 0 0 0 1 7 18 27 34 35 32 25 19 19 25 32 33 23 9 2 0 0 0 1 2 4 2 0 0 2 5 7 10 13 13 14 16 17 18 19 19 18 18 16 12 7 3 1 2 3 6 11 16 22 30 39 43 44 46 51 57 65 86 116 135 128 99 70 50 41
4 2 1 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 3 1 0 0 0 0 0 0 0 1 3 5 6 9 10 10 10 11 10 10 10 13 20 23 19 14 12 10 9 7 5 4 3 3 4 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 4 9 11 8 3 1 0 0 0 0 0 0 0 0 1 3 9 17 22 22 20 19 21 25 30 30 24 18 10 4 1 0 0 0 0 0 1 0 0 0 1 4 6 8 10 10 11 13 14 14 14 14 13 11 8 5 2 0 0 2 3 6 11 15 20 27 35 40 41 42 46 51 54 64 89 120 135 121 93 68 51
4 3 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 2 0 0 0 0 0 0 0 1 2 4 5 5 5 6 7 8 9 9 10 11 14 20 23 20 15 11 8 6 4 3 3 2 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 0 0 0 0 0 0 0 0 1 3 5 10 16 22 24 21 17 17 22 31 35 25 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 8 7 7 7 7 6 6 4 2 1 0 0 0 1 3 7 11 13 15 20 27 33 37 38 41 46 49 54 67 90 116 129 122 104 81
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3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 3 2 2 3 4 5 4 2 0 0 0 2 4 6 6 6 6 6 6 8 10 10 11 11 12 12 12 12 11 10 7 5 2 0 1 1 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 0 0 2 4 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 0 0 0 0 0 0 0 0 0 2 5 12 19 27 34 33 27 26 27 26 23 22 23 25 28 29 30 30 33 39 55 78 99 108
1 2 2 1 1 0 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 1 3 5 4 3 1 1 0 0 1 3 4 5 5 5 5 4 4 5 4 4 5 7 8 9 10 11 10 9 6 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 22 32 41 47 44 44 45 43 38 33 31 30 31 35 37 38 42 49 52 60 74 88
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