Vorticity
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nan 7 8 9 8 7 6 7 9 9 7 6 6 7 8 8 7 7 6 6 7 9 11 10 8 7 7 7 7 8 7 8 9 9 11 11 11 8 6 8 9 9 8 7 6 7 9 10 9 9 6 3 4 6 7 8 9 10 9 8 9 7 4 3 6 9 10 10 8 7 8 9 8 7 8 7 6 7 7 8 8 8 8 7 7 8 7 6 7 7 8 11 11 9 7 6 4 5 7 8 7 6 12 14 11 8 9 5 3 7 9 8 6 4 2 1 4 6 5 4 4 7 7 5 8 11 13 17 17 13 8 9 8 6 5 6 6 6 8 8 7 7 7 7 6 7 7 6 6 6 6 7 8 8 5 4 5 5 5 6 6 6 6 6 7 nan
nan 10 9 9 8 7 6 6 8 9 8 7 7 8 9 8 8 8 7 8 9 10 11 8 6 6 6 7 7 7 6 7 8 7 7 7 8 9 7 5 6 6 5 4 4 5 8 10 11 10 8 5 4 4 6 9 12 11 9 9 9 7 5 3 4 7 9 10 8 7 9 10 10 9 8 8 8 9 8 8 8 8 7 7 8 10 10 8 7 7 7 8 10 11 10 7 6 7 9 11 9 7 11 12 9 7 8 8 7 7 8 8 8 8 6 4 4 4 1 1 4 8 5 10 14 11 12 15 15 10 6 6 6 6 7 8 7 7 7 7 7 8 8 7 6 6 6 6 5 5 5 7 8 8 7 6 6 6 6 6 6 6 6 6 7 nan
nan 8 8 8 8 7 7 6 7 8 9 9 9 8 8 8 8 7 8 8 9 8 9 7 5 4 6 7 8 8 7 6 6 6 5 4 4 5 6 5 3 3 4 5 6 4 5 7 9 8 6 4 4 5 6 10 12 10 9 8 8 8 7 5 5 6 7 9 9 7 8 10 10 9 9 9 9 9 8 7 8 8 7 6 8 10 11 10 8 7 7 7 8 11 13 10 8 6 6 10 12 10 8 6 5 5 7 10 12 11 9 8 9 10 10 9 9 11 10 6 4 4 7 11 8 6 5 8 10 9 8 6 7 9 9 10 9 7 7 6 7 7 7 7 5 5 5 5 4 4 5 6 7 7 8 8 8 7 6 6 6 5 6 7 7 nan
nan 7 7 6 6 8 8 5 6 10 11 10 9 8 9 9 7 6 6 6 7 8 9 8 5 5 6 7 7 8 8 8 7 7 6 5 5 5 4 5 6 4 4 4 5 3 2 4 5 5 4 4 6 9 9 9 10 9 9 8 6 7 8 7 7 7 6 7 8 6 6 8 9 9 9 9 9 7 6 6 6 8 8 7 7 8 9 9 7 7 8 9 9 10 12 12 8 3 1 6 10 10 8 5 5 7 8 10 13 12 9 8 8 9 10 10 10 11 11 9 8 5 7 5 -1 0 3 4 5 7 11 12 11 9 11 14 11 9 8 7 6 6 7 7 6 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 7 6 6 7 7 nan
nan 6 8 7 6 7 8 5 4 9 11 9 9 9 10 10 8 7 6 6 7 9 9 7 5 6 6 6 5 6 10 11 10 9 9 8 8 7 7 8 9 7 4 3 3 2 3 5 5 5 5 7 9 9 8 5 6 8 10 11 8 6 7 8 9 9 8 7 7 6 6 8 9 9 8 9 8 7 6 5 6 7 8 8 8 7 7 7 7 8 7 8 10 11 11 11 9 6 3 3 6 9 8 6 6 9 8 9 9 7 9 10 9 9 8 9 9 10 9 8 7 8 10 6 1 2 5 6 4 5 11 14 12 7 7 8 10 11 10 8 6 5 6 6 7 6 6 7 6 6 5 5 6 7 8 7 7 7 8 8 8 8 8 7 7 nan
nan 5 9 8 6 5 7 7 6 6 6 8 8 8 9 9 9 8 7 7 9 10 8 6 5 6 7 5 4 5 9 10 9 10 10 10 10 9 9 9 11 10 7 6 6 5 5 7 7 7 8 9 9 7 6 6 7 9 12 15 12 7 6 8 11 11 9 8 8 7 6 8 10 10 9 8 8 8 7 6 6 5 8 10 10 9 8 7 6 6 6 7 9 10 9 9 9 9 9 6 5 6 5 5 6 7 8 9 7 5 7 11 11 10 8 7 9 9 10 9 11 12 11 10 9 7 7 6 5 4 6 9 9 8 7 5 8 11 11 9 7 6 6 7 8 8 8 8 8 8 7 6 7 7 7 6 6 6 6 6 8 9 9 8 8 nan
nan 6 8 8 6 4 6 8 7 4 5 7 8 7 7 8 8 8 8 9 10 10 7 6 5 6 8 7 5 5 8 9 7 7 9 9 10 9 8 9 10 10 9 9 10 10 10 10 9 8 8 8 8 8 7 8 9 9 12 14 14 11 7 6 9 13 11 9 8 8 7 6 9 11 9 7 7 8 8 7 6 5 7 10 11 10 10 9 8 8 8 8 8 6 5 5 7 10 12 11 8 5 4 5 6 8 8 9 9 9 9 10 10 9 8 7 8 9 10 11 12 11 11 10 10 9 8 8 9 8 6 4 4 11 17 13 8 8 9 10 8 6 6 8 9 9 9 8 7 7 7 8 8 7 7 7 6 6 5 6 7 8 9 9 8 nan
nan 9 8 6 6 5 5 6 6 5 6 8 8 7 8 8 8 9 8 8 9 10 9 6 5 6 8 9 6 7 8 9 8 6 8 9 9 7 8 9 8 9 10 10 11 12 13 12 10 7 7 7 7 8 8 7 8 8 10 12 13 13 9 6 6 10 12 11 9 8 7 6 7 10 9 7 7 7 8 7 5 5 7 9 10 10 10 10 10 10 9 7 6 5 4 4 6 10 12 13 12 9 6 6 9 8 7 9 12 12 9 8 7 8 9 9 8 7 7 9 10 11 10 9 10 11 11 10 9 8 6 3 3 11 17 10 7 8 10 9 9 8 8 9 9 8 8 7 6 6 7 8 8 9 9 9 9 8 7 6 6 6 7 8 9 nan
nan 12 8 5 4 5 5 5 6 7 7 8 8 8 9 10 8 8 7 7 9 10 10 7 5 6 8 8 8 8 8 9 8 8 9 10 9 7 6 8 9 10 10 10 10 11 12 12 9 7 6 6 7 8 7 5 6 9 11 10 9 10 10 8 6 8 11 12 11 9 8 7 6 8 9 8 7 7 7 7 6 5 7 8 8 7 7 7 7 7 8 7 6 6 6 7 9 10 11 11 11 9 8 9 10 7 6 8 10 10 8 7 8 8 10 9 8 7 7 9 9 10 10 11 12 13 12 10 8 5 2 3 5 13 12 4 4 8 11 11 10 9 9 9 8 7 8 7 6 6 6 7 8 9 9 10 10 9 9 7 5 5 6 7 9 nan
nan 12 9 5 5 5 6 7 8 9 8 7 7 8 9 10 8 6 6 7 8 10 9 7 7 7 7 7 7 7 8 8 8 8 9 11 11 8 6 7 9 12 12 11 9 8 8 8 7 6 7 7 7 7 7 8 8 9 8 6 5 6 8 9 9 9 10 11 11 9 9 8 7 7 9 9 9 8 8 8 8 7 7 7 6 5 4 4 5 6 7 9 8 7 8 10 9 9 8 8 8 7 7 10 10 8 8 8 7 8 8 7 9 10 10 9 7 8 9 10 11 9 9 10 11 11 10 10 10 10 7 4 7 13 7 3 4 6 8 9 8 7 9 12 11 8 8 7 6 6 6 8 9 9 9 10 10 9 9 7 6 6 5 6 7 nan
nan 13 11 7 6 8 10 9 9 9 9 7 6 7 9 8 6 6 6 7 9 11 8 8 10 8 7 7 6 5 7 8 7 7 9 11 11 9 6 6 7 8 11 12 10 6 5 7 7 6 8 8 7 6 8 9 7 6 5 4 5 5 6 9 11 11 9 8 10 10 9 8 9 8 9 10 10 9 9 9 9 10 9 7 8 8 6 5 7 8 9 10 9 9 9 10 10 8 6 7 8 8 7 10 11 10 9 8 7 7 8 10 10 10 10 9 8 8 8 8 8 8 8 9 10 9 9 8 9 11 13 10 7 4 0 1 6 10 8 5 2 5 15 19 13 9 8 7 7 6 7 8 9 10 11 10 10 9 10 9 7 6 5 6 6 nan
nan 14 13 10 8 9 9 8 8 10 10 8 5 7 9 6 5 6 7 8 10 11 8 9 11 8 6 6 6 6 7 7 6 7 7 9 9 9 8 7 6 6 6 8 8 4 5 9 8 7 7 9 9 6 6 8 7 6 6 7 7 7 7 8 10 11 9 8 10 12 11 10 10 9 8 9 9 10 10 9 8 10 10 8 8 10 11 10 10 11 12 11 10 9 11 11 11 9 7 6 8 9 10 11 11 10 10 9 8 9 9 10 10 9 10 9 7 7 8 6 4 5 8 8 5 6 7 6 5 5 8 9 8 4 2 3 7 10 5 0 1 7 15 18 13 9 6 6 6 7 8 8 9 10 11 11 9 9 10 10 8 7 6 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2 3 3 7 15 26 26 24 22 22 21 19 16 12 9 6 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 2 1 2 3 4 5 5 6 6 7 7 7 7 7 7 7 7 6 5 4 3 2 2 6 10 12 11 12 16 17 16 15 15 14 13 12 10 10 14 18 16 14 11 9 8 7 7 6 7 7 7 10 24 44 55 54 50 36 22 20 18 13 11 10 7 7 9 8 6 6 6 6 5 4 3 2 2 1 0 0 4 11 14 16 16 26 39 50 56 57 56 56 59 56 50 40 28 16 13 10 15 24 36 37 24 6 0 0 0 0 0 0 0 0
3 6 5 7 14 23 27 26 22 20 19 16 15 13 10 4 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 2 2 2 2 0 1 3 5 5 4 4 4 4 4 5 6 7 7 6 6 7 7 7 7 7 6 6 5 4 3 4 7 13 14 11 14 18 18 18 18 16 14 12 11 12 19 29 33 33 31 32 28 21 17 10 10 9 10 11 15 29 37 38 37 30 21 20 21 17 15 16 15 14 14 10 6 6 6 7 6 6 5 4 3 2 0 0 1 4 10 12 14 24 37 45 47 46 42 43 48 53 57 59 57 45 39 27 15 11 26 38 31 13 2 0 0 0 0 0 0 0
4 8 7 8 14 23 26 24 21 19 18 16 17 15 11 5 3 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 2 4 6 5 4 1 0 2 5 6 5 5 5 3 3 4 6 7 6 6 6 6 7 7 8 8 7 6 6 6 5 5 5 9 16 13 12 14 18 22 21 18 16 14 12 12 15 20 28 36 40 43 45 44 38 27 17 13 14 14 12 16 18 20 21 17 13 16 19 17 16 18 19 18 15 9 6 6 7 7 7 6 6 5 4 2 1 0 0 1 6 10 15 25 35 37 32 28 25 26 30 38 46 52 58 62 63 56 38 21 19 27 32 24 10 1 0 0 0 0 0 0
2 6 8 9 15 24 26 24 21 19 18 18 18 15 12 6 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 2 4 5 4 3 1 0 0 2 4 6 6 6 4 2 4 5 6 6 6 6 6 7 7 8 8 7 6 6 6 6 6 6 6 14 17 13 11 14 17 18 18 18 16 14 14 14 13 14 19 27 33 41 43 44 39 28 21 17 16 14 12 12 12 13 12 9 10 13 13 16 19 19 18 16 10 6 6 7 7 7 6 6 6 5 3 2 1 0 0 3 11 21 29 32 28 22 18 18 18 17 21 33 40 47 54 62 71 69 50 30 23 29 33 25 8 0 0 1 4 5 2
2 5 9 10 16 25 26 24 22 20 19 20 20 17 11 6 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 1 2 1 0 0 0 0 0 2 4 6 7 6 3 4 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 15 18 13 12 12 14 14 16 16 16 15 14 13 12 11 13 16 22 32 33 33 28 22 16 14 15 15 13 12 10 9 10 13 17 19 19 16 15 17 18 13 8 6 7 7 7 7 6 5 4 4 2 1 0 0 4 14 27 33 28 23 18 16 16 16 15 16 21 27 34 41 47 62 81 83 58 33 26 34 37 22 5 0 5 13 14 9
3 7 10 13 18 24 23 23 22 20 19 20 20 16 10 6 3 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 0 0 2 5 7 7 5 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 10 16 16 15 13 12 12 13 14 14 14 14 13 12 10 9 9 10 10 13 18 18 16 14 12 14 15 15 13 10 10 14 18 18 14 10 8 8 12 15 14 12 7 6 6 7 7 6 5 4 4 3 2 1 3 11 23 33 32 26 20 16 13 13 14 15 15 14 15 21 28 34 42 61 81 81 59 33 28 39 34 20 10 10 15 17 15
4 8 11 14 17 20 20 22 22 20 18 19 18 13 8 4 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 0 0 0 0 0 0 0 0 1 3 6 6 6 5 5 5 6 6 6 6 6 6 6 7 8 7 7 7 6 6 6 6 6 7 10 11 13 14 13 12 11 10 10 10 11 11 10 9 7 7 7 7 8 9 12 12 13 12 11 13 14 13 11 14 20 20 11 6 4 5 5 6 8 10 10 7 6 6 7 7 6 6 6 6 4 4 6 8 16 31 34 27 21 16 13 10 9 11 13 13 11 8 12 20 26 29 38 60 84 83 50 27 35 41 36 26 20 20 21 18
4 6 10 12 12 13 16 20 20 18 17 17 14 7 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 0 0 0 1 2 2 1 1 1 1 2 4 5 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 6 9 12 13 13 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 13 14 19 21 13 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 7 11 12 11 11 14 19 25 36 31 23 18 13 10 8 7 8 10 10 8 5 7 16 23 25 27 39 71 94 70 40 35 41 44 39 32 29 26 21
3 5 9 10 8 8 10 14 15 15 15 14 9 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 0 0 0 0 0 0 1 2 3 4 3 3 3 3 3 4 4 5 5 4 4 5 5 5 6 6 6 6 7 7 6 6 6 6 6 7 6 6 6 5 5 5 5 9 13 15 15 13 11 10 9 9 9 10 11 12 11 10 9 9 9 9 9 10 10 11 14 18 20 15 8 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 7 14 17 18 18 22 28 35 36 26 19 14 7 4 4 4 5 6 6 6 5 8 18 24 27 29 34 52 80 82 60 42 39 43 43 40 36 31 25
3 4 8 8 7 7 8 7 7 10 11 9 6 4 3 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 1 3 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 8 9 10 11 13 14 15 16 14 13 12 11 12 11 12 15 17 17 16 14 14 13 12 12 12 13 15 18 19 15 7 5 6 6 6 5 5 5 5 5 5 5 5 5 4 3 3 5 12 18 20 23 28 34 36 29 19 13 7 2 0 1 1 1 1 2 4 7 15 23 29 31 31 34 42 64 84 78 54 39 38 41 42 40 35 28
3 4 6 6 6 7 8 8 7 7 7 6 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 1 2 2 1 0 0 1 2 4 4 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 5 4 4 5 5 5 5 5 11 15 17 17 17 18 18 16 14 14 15 16 15 17 17 14 14 16 17 17 18 19 20 20 19 19 19 19 20 22 23 20 14 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 5 4 5 10 15 19 24 30 31 27 18 12 6 2 0 0 0 0 0 0 0 3 10 21 26 29 30 29 32 34 48 76 88 69 42 34 36 39 41 38 31
4 3 4 4 6 7 8 7 7 8 7 6 6 6 6 3 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 5 4 3 3 3 3 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 6 16 19 18 21 22 21 19 14 12 14 17 22 30 35 34 31 22 16 15 16 17 19 21 22 23 24 24 24 24 24 23 21 17 10 7 7 6 6 6 6 6 6 6 6 7 6 6 7 6 6 6 8 10 17 22 23 19 14 9 5 2 0 0 0 0 0 0 0 0 3 10 17 19 20 20 21 24 28 38 60 84 80 53 35 32 36 39 38 32
4 3 3 4 5 7 7 7 7 8 8 8 7 6 4 2 0 0 0 0 0 0 1 3 6 7 6 3 0 0 0 0 0 0 0 0 0 0 0 2 6 7 6 5 4 4 4 3 3 2 2 3 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 8 15 20 21 21 20 19 19 16 13 14 15 22 33 41 43 44 42 32 24 21 21 22 23 23 23 23 23 24 24 24 23 22 20 17 12 9 8 7 7 6 6 6 6 7 7 7 7 7 8 9 11 11 10 16 14 9 6 4 2 1 0 0 0 0 0 0 0 0 0 1 3 6 7 7 10 14 18 24 31 44 70 87 66 37 28 30 34 35 32
3 2 2 4 5 7 7 6 7 8 8 8 7 4 1 0 0 1 0 0 0 0 4 10 14 14 10 5 0 0 0 0 0 0 0 0 0 0 0 1 5 6 6 5 4 4 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 6 6 6 5 7 12 16 17 16 15 16 18 18 15 14 13 17 22 25 32 36 39 43 43 40 38 36 33 31 28 25 24 23 24 22 20 18 18 18 16 15 14 14 12 11 10 10 10 9 9 9 9 10 13 16 19 19 17 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 16 19 25 31 36 55 90 76 43 28 26 29 32 30
2 2 2 2 5 6 6 6 6 7 7 7 5 2 0 0 2 2 0 0 0 2 9 14 15 14 9 4 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 8 8 10 12 14 15 15 14 15 17 19 20 18 16 16 19 22 24 28 32 35 41 49 54 52 49 45 40 34 31 28 25 24 21 18 16 16 17 18 20 22 22 20 18 18 18 19 19 18 17 17 19 20 20 21 21 20 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 28 33 34 36 37 36 48 82 81 54 32 24 26 28 28
2 0 0 1 3 4 4 5 5 6 6 5 3 0 0 1 3 2 0 0 1 2 6 9 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 4 4 3 3 3 3 3 2 3 2 2 2 2 3 4 4 4 5 5 4 4 4 4 5 6 7 9 10 10 10 13 16 18 20 21 22 22 23 24 25 24 21 20 21 26 34 42 45 47 50 54 58 59 58 53 47 40 34 31 28 24 24 22 21 23 27 28 26 27 28 26 23 22 23 24 26 26 26 23 23 21 20 20 20 20 18 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 16 28 38 47 53 53 49 46 50 76 89 67 39 25 26 29 27
0 0 0 0 1 2 2 4 5 6 6 5 3 0 0 2 4 2 0 0 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 2 2 2 1 1 0 0 1 1 1 1 1 3 4 5 6 6 5 5 5 5 6 6 7 7 10 10 11 14 18 22 26 28 29 30 32 34 36 37 36 31 25 24 33 46 55 59 60 60 60 60 60 60 57 50 39 30 28 26 25 27 31 39 49 54 53 48 42 35 29 25 24 26 28 29 28 27 26 26 25 25 25 25 21 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 26 33 38 47 68 73 65 57 52 73 96 81 48 34 35 35 29
0 0 0 0 0 1 2 4 5 6 5 4 2 0 0 3 4 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 6 6 6 7 7 6 7 7 8 8 10 14 19 24 28 32 32 31 31 32 36 40 42 42 39 30 25 34 48 58 60 59 58 57 57 60 67 70 63 50 38 33 33 35 38 44 52 59 60 55 52 48 41 34 32 32 33 36 40 42 41 39 38 38 40 42 40 32 21 11 5 2 1 1 1 0 0 0 0 0 0 0 0 0 0 2 9 20 30 32 36 50 77 90 85 70 55 64 88 87 63 49 47 42 31
0 1 1 0 1 2 3 4 4 4 5 4 1 0 0 0 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 1 1 1 2 2 2 1 1 1 3 5 7 8 7 7 8 9 9 8 8 8 8 9 12 17 22 26 29 31 29 27 27 28 29 31 33 34 33 26 21 28 42 51 54 53 52 51 51 55 66 76 81 73 60 50 46 45 46 50 52 48 40 35 36 39 40 41 44 46 48 51 56 60 61 59 58 60 64 64 59 47 30 15 8 5 3 2 2 1 0 0 0 0 0 0 0 0 0 3 11 20 26 29 37 55 82 101 103 89 67 61 75 80 67 58 53 46 33
1 1 1 1 1 2 3 2 2 3 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 1 2 3 4 4 4 4 4 4 4 4 5 7 8 8 8 9 10 11 13 14 12 10 10 10 11 14 16 19 20 20 19 19 20 22 23 24 24 25 25 21 19 22 28 33 35 36 37 38 38 38 44 55 70 82 82 76 64 53 48 47 44 33 24 25 33 41 47 51 54 56 60 61 64 65 65 64 63 66 70 68 59 49 35 19 11 9 7 6 3 2 1 2 2 1 0 0 0 0 0 4 12 16 20 27 38 54 77 98 109 104 86 74 80 83 67 59 53 44 34
2 2 1 1 1 2 1 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 0 0 0 0 0 0 0 0 0 1 2 5 5 5 5 5 5 5 6 6 7 8 8 9 9 10 11 12 11 12 15 14 11 10 9 8 7 7 7 8 7 8 10 12 13 15 17 18 19 19 19 19 18 17 16 14 15 17 18 18 18 21 27 37 54 72 81 78 65 53 44 36 29 28 35 47 56 61 58 55 55 58 58 57 56 53 49 47 49 51 46 38 32 26 18 12 10 9 9 8 5 4 6 6 3 1 0 0 0 0 5 10 13 17 26 37 48 62 83 100 108 106 100 101 95 72 58 50 40 33
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 1 0 0 0 0 0 0 0 0 1 2 3 6 7 6 6 6 6 6 6 6 7 9 9 9 9 10 11 12 12 10 8 10 12 12 10 8 4 2 2 2 2 2 2 4 5 6 7 8 10 12 13 14 15 15 13 11 9 8 6 4 2 2 5 8 15 25 42 60 70 68 57 43 32 29 33 44 58 65 65 55 45 39 38 38 38 32 24 19 19 22 22 18 15 14 14 12 9 9 10 12 13 11 10 10 10 6 2 0 0 0 2 5 8 12 16 24 32 39 48 61 81 102 118 126 124 108 82 61 48 40 34
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 1 2 5 8 10 9 8 8 8 8 8 8 9 10 11 11 11 11 12 12 10 7 4 6 10 11 9 6 4 2 1 1 0 0 0 1 1 2 2 3 4 5 7 8 10 11 12 12 10 7 2 0 0 0 0 1 4 11 22 37 51 57 54 44 33 29 32 42 54 61 53 39 26 18 14 14 14 11 7 4 4 5 6 4 4 5 7 8 7 9 12 15 16 14 12 10 9 5 2 0 0 0 1 4 8 11 17 23 27 29 35 46 59 80 109 136 142 125 94 68 52 43 39
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 1 1 2 1 0 0 0 0 0 0 0 0 0 1 2 4 6 10 10 10 10 10 10 10 11 14 17 17 16 14 12 12 10 7 4 2 3 6 8 7 5 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 5 8 11 12 10 5 0 0 0 0 0 0 0 0 3 11 23 35 42 42 38 34 32 34 38 45 48 36 20 10 4 3 2 2 2 1 0 0 0 1 0 1 2 4 6 7 9 12 15 16 15 12 10 7 4 1 0 0 0 1 4 9 13 19 25 27 26 28 36 46 57 80 114 137 136 113 85 66 53 48
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 1 2 3 4 3 1 0 0 0 0 0 0 0 1 1 2 3 5 6 8 9 8 8 10 10 13 20 25 24 20 16 13 11 8 5 3 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 12 9 5 2 0 0 0 0 0 0 0 0 0 6 16 25 30 31 33 36 39 42 39 37 34 22 10 3 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 9 10 12 13 12 11 9 4 1 0 1 2 4 7 12 16 21 27 31 31 30 34 41 48 60 83 112 130 127 109 91 74 62
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 2 3 4 4 4 3 1 0 0 0 0 0 0 1 2 3 4 5 5 5 6 8 8 8 10 11 14 20 26 25 21 17 13 10 7 4 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 7 2 1 0 0 0 0 0 0 0 1 2 4 10 19 27 31 31 34 41 49 49 40 30 21 12 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 6 8 9 9 7 4 2 1 1 5 9 14 18 19 21 27 32 34 34 36 40 45 53 65 86 114 137 137 123 105 89
1 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 3 4 4 4 4 3 2 0 0 0 0 0 0 1 2 4 5 6 6 6 5 7 9 10 10 12 13 16 20 23 22 18 15 11 8 4 4 1 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 0 0 0 0 1 2 5 11 19 28 36 41 42 41 44 44 34 22 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 2 1 1 1 2 3 4 3 2 1 1 4 9 16 21 22 20 21 26 31 33 35 36 38 42 47 53 65 87 119 144 142 134 123
1 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 3 4 4 4 4 2 1 1 1 1 0 0 0 0 1 2 4 5 6 6 6 7 9 11 11 11 12 14 17 20 20 19 16 12 9 5 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 1 4 8 15 24 31 37 40 40 32 21 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 1 0 0 0 0 0 0 0 0 0 2 5 10 16 22 28 30 27 26 28 32 34 35 35 35 35 37 40 45 57 79 108 128 135 139
1 3 3 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 3 1 0 0 1 2 2 1 1 1 1 1 2 3 4 4 5 5 7 9 9 9 10 11 12 15 17 18 17 16 12 8 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 0 0 1 2 3 7 11 15 14 7 2 0 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 1 4 11 18 22 29 36 41 40 37 38 40 40 38 36 34 31 31 31 31 33 42 66 93 115 132
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 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 2 2 2 3 4 4 5 5 5 6 8 9 11 13 14 14 12 8 5 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 0 0 0 0 0 0 0 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 1 5 13 20 28 36 44 49 52 52 54 54 52 50 48 45 41 42 45 44 38 33 41 62 89 112
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 1 1 1 1 2 3 5 7 8 11 9 6 6 8 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 1 5 12 22 34 42 48 57 64 70 73 76 77 78 78 79 83 90 97 95 84 73 68 73 87
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 4 3 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 27 39 53 66 76 84 94 102 102 106 115 123 128 136 146 152 140 124 104 88
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 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 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 20 35 53 68 77 84 87 85 89 98 112 118 123 128 140 153 162 154 127
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