Vorticity
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nan 6 8 9 9 7 7 6 7 8 7 5 5 6 7 7 7 7 6 5 5 6 9 10 8 7 7 7 7 8 7 8 9 8 9 9 9 8 8 8 7 7 8 9 10 7 4 5 7 9 10 10 8 7 6 4 4 5 6 8 10 10 7 7 9 11 10 8 7 8 10 11 10 9 8 8 7 7 7 8 9 10 9 8 6 7 9 9 9 8 8 9 9 8 6 4 5 7 8 9 8 5 12 14 7 7 12 10 6 5 7 9 9 5 1 0 4 5 4 4 4 7 9 5 6 10 15 20 20 15 7 6 10 10 8 7 7 8 8 6 7 8 9 8 5 5 7 9 8 8 8 9 9 9 7 6 6 5 5 5 6 7 7 7 7 nan
nan 9 9 9 8 6 5 6 7 8 8 7 6 7 8 8 8 8 8 7 7 8 8 8 7 7 8 9 8 7 5 5 5 4 4 6 7 6 4 5 4 5 7 7 7 6 4 5 6 8 9 11 8 3 3 6 7 8 8 9 11 10 6 6 7 10 11 10 8 8 10 11 10 9 7 7 7 6 6 7 9 9 8 7 7 8 10 10 8 6 6 9 11 12 10 5 4 7 12 12 9 8 10 7 4 7 10 7 5 6 7 9 10 8 5 3 4 4 2 3 6 9 7 10 12 10 13 18 15 10 7 6 9 12 11 9 8 8 8 8 8 9 8 8 7 6 6 7 7 7 8 9 11 9 6 6 5 5 5 7 8 7 7 7 7 nan
nan 8 7 7 7 6 6 7 8 8 9 9 8 8 8 8 8 7 7 7 7 6 6 7 8 8 9 10 10 8 6 6 5 4 4 5 3 2 3 5 5 4 5 6 5 5 6 5 4 5 6 7 6 5 6 9 10 10 10 12 11 9 7 7 8 9 10 11 11 9 8 10 9 8 8 7 7 6 7 8 9 9 7 6 8 8 9 11 10 9 8 7 7 10 12 9 7 7 9 11 11 11 8 5 5 7 8 7 9 10 9 10 11 10 10 8 9 11 10 7 4 5 8 12 8 5 6 10 11 8 9 10 11 11 10 10 9 7 7 8 8 8 8 7 6 6 6 6 7 8 9 10 11 8 7 6 5 4 5 7 8 8 7 7 7 nan
nan 5 5 5 6 8 8 8 8 10 10 9 9 8 8 8 6 5 5 5 6 6 7 8 9 9 9 9 9 8 8 9 8 6 6 6 5 2 4 8 8 6 5 5 4 4 5 4 4 4 5 6 8 9 9 9 8 9 11 12 10 8 8 9 9 9 10 11 12 9 7 7 8 9 8 8 7 8 8 9 9 10 9 7 6 7 8 8 9 8 7 5 3 5 10 11 9 6 8 9 9 9 7 5 5 6 6 8 12 12 9 9 9 10 11 9 9 9 9 7 8 5 5 6 3 5 5 4 6 9 11 12 13 12 10 11 10 9 8 8 8 8 8 6 6 7 7 7 8 9 9 10 10 8 6 6 6 6 6 7 8 8 8 7 7 nan
nan 4 6 6 6 7 9 9 8 10 10 9 9 8 9 10 7 5 4 5 6 7 7 8 9 9 8 8 7 7 10 11 10 9 9 9 8 6 7 10 9 9 7 5 4 5 6 6 6 6 7 9 9 8 6 5 5 7 10 12 10 7 8 10 11 10 10 9 10 9 7 8 9 9 9 8 8 8 8 8 9 10 10 8 5 5 6 6 6 7 7 7 5 7 9 10 10 7 7 7 6 7 7 7 7 8 7 7 9 10 11 10 8 9 9 9 8 7 7 7 7 7 6 5 3 4 5 4 5 8 13 14 11 10 12 12 10 10 10 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 7 6 6 8 7 7 8 8 8 8 7 nan
nan 4 7 7 6 6 8 10 9 9 8 8 8 7 8 9 8 6 6 6 7 8 7 7 7 7 7 6 5 6 9 10 8 8 9 10 10 8 7 6 7 9 9 8 7 8 7 7 7 8 9 10 8 7 7 7 8 10 13 14 10 6 6 9 12 12 9 8 9 8 8 8 10 10 10 8 9 9 9 8 9 9 9 7 4 5 7 9 11 10 8 9 10 10 9 8 9 8 5 5 5 7 9 9 7 9 9 8 6 7 10 10 10 11 10 10 9 9 7 7 9 9 10 9 6 4 5 6 7 6 8 11 10 9 12 10 9 10 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 6 6 8 8 8 8 8 8 7 7 nan
nan 5 7 7 6 7 9 11 10 7 6 7 7 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 8 9 6 6 9 11 10 8 7 5 6 8 10 10 10 10 11 9 8 7 8 8 9 9 10 10 11 11 12 13 12 8 5 6 9 11 10 8 8 8 7 7 9 11 10 9 8 9 9 9 9 9 8 7 6 6 8 12 14 13 10 10 12 11 8 6 8 9 7 7 7 8 9 8 7 8 10 9 8 8 9 10 11 11 10 10 11 11 9 10 9 8 9 9 9 7 6 7 9 7 6 5 6 10 11 9 9 9 9 9 8 8 8 9 9 9 8 9 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 7 nan
nan 10 7 6 7 7 8 9 9 7 6 6 7 6 7 7 7 8 8 7 7 9 9 7 6 7 8 9 8 8 9 8 7 6 8 9 9 7 7 7 7 8 9 10 11 10 12 11 10 8 8 7 8 9 8 8 9 9 10 11 12 11 7 4 4 5 7 8 8 9 8 6 7 9 11 9 7 8 8 6 8 9 8 7 7 7 9 11 12 11 9 7 7 8 8 7 7 8 8 9 9 8 7 8 8 7 8 10 11 11 11 10 11 10 10 10 11 10 7 7 10 10 9 8 8 9 7 6 7 7 6 4 3 9 13 12 11 10 10 8 7 7 8 10 9 8 9 9 10 10 10 10 9 7 7 8 8 8 8 8 8 8 9 8 8 nan
nan 12 8 5 5 6 7 7 8 7 6 6 7 8 9 9 7 8 7 6 7 10 9 7 7 7 8 9 9 9 9 9 9 8 9 8 8 7 7 7 7 7 7 9 10 10 10 11 12 10 7 6 6 6 4 4 6 9 11 11 11 11 10 6 4 4 6 8 9 9 9 7 6 7 9 9 7 6 5 5 6 9 9 6 5 5 6 7 7 5 4 4 4 4 5 6 7 7 9 10 11 11 9 8 8 7 7 10 11 10 8 9 11 11 11 10 8 6 6 6 9 10 9 9 8 8 7 7 7 5 2 5 7 14 16 11 8 9 11 9 8 8 9 10 10 8 10 9 9 9 9 9 8 7 7 8 8 8 8 7 7 8 9 8 8 nan
nan 10 9 6 6 7 7 8 9 8 6 6 7 8 10 9 7 6 6 6 7 9 8 7 8 8 7 8 8 8 8 9 9 10 10 9 8 9 6 5 5 5 7 10 10 9 9 10 10 9 8 7 6 4 3 6 9 10 10 7 7 9 9 9 9 8 8 9 10 9 9 8 7 7 9 9 7 6 6 7 8 11 10 7 5 3 2 3 4 4 5 7 7 5 5 6 8 8 10 12 13 11 10 9 8 8 9 10 10 9 7 9 12 12 10 7 5 6 7 9 9 7 7 7 7 7 8 10 10 8 4 3 8 14 9 3 -0 3 7 7 6 6 8 12 11 9 10 10 10 9 8 8 7 7 6 7 6 6 7 7 8 8 8 9 9 nan
nan 9 9 8 8 10 11 11 9 8 7 6 6 7 8 7 6 6 6 7 7 8 6 6 9 8 7 7 7 7 8 8 8 8 9 10 9 11 10 7 6 7 8 10 11 9 8 9 9 8 8 8 6 8 11 12 12 9 6 4 4 6 8 11 12 11 10 10 11 10 9 9 9 8 8 10 8 8 9 10 10 11 10 8 7 7 6 5 6 7 9 11 10 9 9 10 11 11 10 10 10 10 10 10 10 9 10 11 10 10 9 10 11 12 10 8 6 7 7 7 8 8 9 7 9 10 9 9 10 10 11 6 4 3 -1 -4 -0 7 8 6 3 6 13 17 12 9 10 11 10 9 8 7 8 7 7 7 7 6 8 9 8 7 8 8 8 nan
nan 12 10 9 9 11 11 8 7 9 9 6 4 6 8 7 6 7 7 8 9 9 7 7 8 7 6 6 7 7 7 7 6 6 9 10 9 11 12 10 10 8 7 8 9 8 8 11 11 8 6 7 9 11 13 12 10 8 6 7 7 7 7 9 9 10 9 9 10 10 10 10 11 9 6 9 9 11 11 11 10 10 9 8 9 10 10 10 10 11 13 12 11 12 12 13 12 11 8 6 6 7 10 11 10 9 8 9 9 11 10 8 7 7 8 9 8 7 7 6 7 9 11 10 9 10 10 8 6 5 6 4 4 2 1 2 6 10 8 4 3 8 15 18 13 10 9 9 8 9 9 8 8 8 8 8 7 8 9 9 9 8 7 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
10 13 13 14 19 26 27 26 24 25 22 16 8 2 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 7 6 5 5 5 4 4 4 4 4 3 4 5 7 10 10 6 4 4 4 5 4 3 2 3 4 4 4 4 4 4 4 3 3 5 10 16 17 16 15 14 16 23 28 28 28 24 24 24 24 28 34 41 36 23 17 29 61 84 73 50 40 48 59 61 54 42 30 18 7 1 0 0 0 2 4 5 5 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 11 16 17 19 23 17 8 0 0 0 1 4 5 7 6 2 0 0 0 0 0 0
9 12 12 12 15 19 23 26 25 26 22 15 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 3 5 6 7 7 6 6 5 4 4 4 4 4 4 4 3 4 8 16 22 21 11 5 5 4 5 4 4 3 3 4 4 4 4 4 4 4 4 3 3 4 9 14 15 14 14 13 13 21 28 33 36 36 36 38 41 46 50 49 41 31 31 49 76 86 70 46 37 48 64 63 56 46 33 22 12 6 2 0 0 2 4 5 5 5 6 6 5 2 1 0 0 0 0 1 1 0 0 0 0 1 3 7 10 11 10 9 13 16 16 16 18 29 28 18 7 2 0 0 3 3 2 1 0 0 0 0 0 0 0
5 10 10 10 11 14 20 26 27 26 22 15 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 2 0 0 0 3 7 7 7 7 7 6 5 4 4 3 3 4 4 4 4 4 4 9 23 30 30 19 6 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 2 1 2 6 12 13 14 14 14 14 19 24 28 31 32 33 34 37 38 38 36 30 26 29 45 68 80 68 47 40 54 62 60 55 48 39 28 18 10 3 0 2 4 5 6 5 5 6 6 6 4 2 1 1 2 3 3 2 1 1 3 7 13 17 17 13 9 7 8 12 13 13 15 20 26 26 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0
2 4 7 10 10 13 20 26 28 25 19 15 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 3 1 3 8 10 9 8 7 6 6 5 5 4 3 3 4 4 4 4 4 4 8 19 27 28 19 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 4 1 0 1 7 11 12 13 14 16 17 17 17 18 20 23 26 29 30 30 30 26 22 20 23 36 54 69 66 58 54 55 56 57 55 53 47 33 20 10 3 3 7 9 10 9 8 6 7 6 7 6 4 4 4 5 5 5 5 5 9 20 26 22 12 6 2 1 1 1 1 5 8 14 20 27 26 14 3 0 0 2 3 0 0 0 0 0 0 0 0
1 2 6 8 9 13 20 27 27 23 17 15 13 10 6 4 2 2 0 0 0 0 0 0 0 0 0 1 3 6 12 14 11 9 10 12 11 9 7 6 6 6 5 4 4 4 5 5 5 5 4 4 4 4 7 13 16 10 5 6 6 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 3 2 1 5 12 11 10 11 14 16 16 13 12 14 17 23 28 31 32 32 29 25 23 21 19 23 40 55 66 67 60 56 57 58 58 57 49 33 17 9 6 8 11 13 13 14 15 15 14 14 11 8 6 5 5 6 7 7 9 16 25 24 14 4 1 0 0 0 0 0 0 1 9 16 25 31 23 8 1 1 5 7 1 0 0 0 0 0 0 0
1 2 4 6 9 14 22 28 27 23 18 16 14 12 8 6 4 4 2 0 0 0 0 0 0 0 0 1 3 6 14 17 16 15 14 13 10 8 7 5 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 2 6 14 13 11 10 11 13 13 12 12 12 13 17 22 29 33 35 34 31 27 25 21 20 23 33 47 59 62 58 58 61 62 59 54 42 24 13 10 7 7 9 9 11 15 18 19 20 20 16 10 6 5 6 7 9 13 22 24 14 3 1 0 0 0 0 0 0 0 0 4 14 25 33 33 23 7 1 5 12 8 0 0 1 5 4 1 0
0 2 3 6 10 16 24 28 28 24 22 19 16 12 10 5 5 4 2 0 0 0 0 0 0 0 2 3 5 8 15 17 15 13 12 11 9 8 5 3 4 5 5 4 4 4 5 5 5 5 5 5 5 4 3 2 4 7 8 8 7 6 4 4 4 5 4 4 3 3 4 4 4 5 5 5 5 5 4 6 14 16 14 12 10 10 11 12 12 12 11 11 12 16 24 30 34 34 31 29 26 25 26 28 34 43 51 54 55 58 58 55 54 47 30 16 14 12 8 5 5 6 9 13 16 18 21 21 16 10 7 6 8 15 23 25 16 5 0 0 0 0 0 0 0 0 0 0 2 10 24 35 39 34 18 2 3 14 15 2 0 2 7 3 0 0
0 1 3 8 13 19 26 30 29 26 24 22 17 10 5 4 5 4 2 0 0 0 0 0 1 2 4 6 10 16 18 16 12 10 9 10 9 6 1 0 2 5 5 4 4 5 6 6 7 7 7 7 6 4 3 1 4 8 11 12 11 8 5 4 5 5 5 4 3 4 4 5 5 5 5 5 4 5 5 4 9 15 17 16 13 11 10 11 11 11 11 10 10 10 11 18 25 29 31 32 32 32 33 35 37 41 45 49 51 51 49 47 49 49 38 21 20 18 15 10 6 5 6 7 10 13 17 19 19 16 12 10 12 19 24 21 6 1 0 0 0 0 0 0 0 0 0 0 1 7 21 36 43 42 29 8 2 10 16 6 1 0 3 2 0 0
0 1 4 9 14 20 26 29 29 28 25 21 15 9 7 5 4 2 1 0 0 0 0 0 1 3 6 12 18 20 19 15 11 9 9 9 9 6 1 0 2 5 6 5 5 5 6 7 8 10 10 9 9 7 5 4 6 9 13 13 12 9 6 4 4 4 5 5 5 5 7 9 9 7 6 6 5 5 5 5 4 8 13 16 16 13 11 10 10 10 10 10 9 9 9 9 12 18 22 27 31 35 37 38 40 42 43 45 45 43 40 36 36 42 38 24 22 22 21 18 12 8 7 7 6 8 10 14 16 17 17 16 19 23 22 10 2 0 0 0 0 0 0 0 0 0 0 1 3 6 16 32 44 45 35 17 4 4 12 10 3 0 0 0 0 0
0 2 6 10 14 19 26 29 28 27 24 19 11 7 6 5 3 1 0 0 0 0 0 0 1 3 8 16 21 20 18 13 11 12 11 9 8 6 1 0 0 2 5 5 5 5 6 7 8 10 11 11 11 10 8 7 6 8 12 12 11 8 5 4 3 4 4 5 7 12 18 22 23 17 12 7 7 6 5 5 5 6 6 9 12 14 13 11 10 9 10 10 9 10 9 8 8 9 10 15 20 24 28 32 35 38 40 40 38 34 30 24 22 26 26 20 20 22 24 24 19 13 9 8 8 7 6 6 10 13 16 18 22 22 13 2 0 0 0 0 0 0 0 0 0 0 0 3 7 8 10 24 41 46 40 23 7 2 9 13 8 2 0 0 0 0
0 3 9 13 14 19 26 28 27 25 22 17 10 6 4 3 1 0 0 0 0 0 0 0 0 2 7 16 21 19 16 12 10 10 10 8 8 5 1 0 0 0 1 2 2 4 5 6 7 9 11 12 12 11 9 7 5 6 8 9 8 6 4 3 2 2 3 4 8 17 29 33 34 30 23 16 14 13 13 13 13 12 10 8 8 11 14 15 13 11 10 9 10 10 11 10 8 8 9 10 11 12 14 18 22 25 27 28 25 20 15 11 12 15 17 16 17 21 24 25 22 16 10 8 8 6 3 2 3 5 9 16 19 13 4 1 0 0 0 0 0 0 0 0 0 0 0 5 10 10 8 16 37 49 46 31 12 3 9 16 13 4 0 0 0 0
1 4 9 14 15 20 26 26 23 20 18 14 9 4 0 0 0 0 0 0 0 0 0 0 0 1 7 16 20 17 14 11 10 9 9 8 7 4 1 0 1 1 0 0 0 3 6 6 6 7 9 10 10 9 8 6 4 4 4 4 4 3 2 2 1 1 1 2 5 13 25 31 31 30 26 24 25 25 24 22 21 19 15 11 9 10 14 17 18 16 13 10 10 11 10 10 10 10 12 15 16 15 15 14 14 14 14 12 11 10 10 11 13 16 18 19 20 21 23 23 21 15 9 8 8 6 3 0 0 1 2 6 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 5 12 14 10 14 32 50 53 41 21 8 11 19 18 9 2 1 0 0
2 4 9 14 17 20 22 20 16 14 12 10 7 4 1 0 0 0 0 0 0 0 0 0 0 1 5 12 15 14 11 9 8 8 8 7 6 2 0 2 5 3 1 0 0 2 6 7 6 6 6 7 7 6 5 3 2 2 2 1 1 1 1 0 0 0 0 1 2 5 12 20 22 24 23 24 26 28 28 27 24 20 15 11 11 12 14 16 19 20 19 16 14 13 11 11 10 15 23 30 32 33 34 32 30 27 24 19 15 15 13 15 18 21 22 22 20 20 21 21 19 15 8 8 8 7 5 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 22 18 18 31 52 63 54 32 13 13 22 24 16 9 4 1 1
4 6 10 14 16 16 15 12 9 7 6 6 5 3 2 0 0 0 0 0 0 0 0 0 0 1 5 11 12 10 9 8 7 8 8 7 3 0 0 1 3 3 1 0 0 1 3 5 5 3 3 4 4 3 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 7 8 13 16 17 18 18 19 19 17 14 10 9 11 13 15 16 18 20 21 20 19 18 16 15 13 12 19 31 41 45 49 52 52 50 49 45 39 34 30 25 25 24 23 21 19 18 19 19 19 16 11 9 9 8 6 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 27 35 28 23 32 55 74 71 44 18 14 24 30 24 16 9 5 5
5 7 11 13 13 11 8 5 3 2 3 5 4 2 1 0 0 0 0 0 0 0 0 0 1 4 11 14 13 10 8 9 10 10 9 6 1 0 0 0 0 0 0 0 0 0 1 3 3 1 1 2 2 2 1 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 1 2 3 4 4 6 7 8 8 8 7 7 8 11 13 15 16 17 18 20 20 19 19 19 20 20 18 18 24 33 38 40 44 47 49 53 53 49 45 40 30 28 28 25 22 20 19 18 19 18 16 11 9 10 8 5 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 34 46 39 30 36 58 80 83 57 29 20 24 36 34 25 16 12 10
5 8 12 11 8 4 2 1 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 3 8 13 14 14 12 11 14 14 14 10 4 1 0 0 0 0 0 0 0 0 0 1 3 3 2 2 3 3 2 1 1 2 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 7 8 8 9 10 12 12 14 15 17 17 16 17 18 18 17 18 22 27 30 30 28 29 29 28 26 27 29 30 34 37 38 38 38 37 35 31 26 22 20 19 18 16 13 8 8 8 7 6 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 34 54 53 43 43 62 84 88 67 45 33 35 46 46 35 22 17 16
6 8 9 7 4 1 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 2 6 11 14 14 14 15 15 15 14 13 10 5 1 0 0 0 0 0 0 0 0 1 4 6 4 3 4 4 4 3 3 3 4 5 6 6 5 2 0 0 0 1 2 3 5 8 9 8 7 9 11 13 15 16 16 15 15 15 16 19 22 24 26 28 29 30 29 27 26 27 30 35 39 42 42 41 38 34 33 28 25 25 22 24 24 25 27 29 32 35 33 28 24 23 22 19 15 10 8 6 4 4 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 28 57 68 62 59 72 88 89 72 57 45 43 51 55 44 27 22 21
4 4 4 3 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 4 10 13 14 16 17 15 13 10 9 9 9 6 1 0 0 0 0 0 0 0 1 4 8 9 6 5 5 6 6 5 5 5 5 5 5 5 4 2 0 1 2 4 8 12 17 21 23 24 23 22 23 24 27 28 27 25 23 24 27 34 40 45 48 47 47 48 49 47 45 45 48 50 51 51 51 51 49 47 46 45 44 42 40 40 36 32 27 25 27 31 34 31 28 26 26 22 18 15 11 8 5 4 4 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 51 76 81 81 89 92 85 71 59 51 49 53 55 49 38 29 24
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 11 13 14 14 12 8 6 4 4 7 8 5 1 0 0 1 0 0 0 0 2 4 8 9 6 4 4 6 6 5 5 5 5 4 3 4 4 3 3 3 4 6 11 18 24 28 29 30 31 30 28 28 31 34 34 33 35 39 45 52 56 58 58 58 60 62 63 61 61 61 59 58 59 62 62 61 58 57 57 57 59 59 58 57 56 52 45 40 38 39 41 39 36 32 30 26 22 20 16 12 8 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 36 72 92 100 104 99 82 62 49 43 42 46 49 48 43 36 28
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 13 13 11 7 2 2 2 1 2 6 5 2 1 1 1 0 0 0 0 0 0 0 1 3 2 1 1 3 3 2 3 3 2 2 2 3 5 6 7 7 6 6 10 18 25 29 32 33 36 38 39 40 40 41 43 47 52 57 61 62 62 60 59 62 68 74 79 81 81 80 80 80 79 78 78 77 72 66 62 61 63 64 64 64 62 60 57 56 55 56 54 52 49 45 40 34 28 24 20 16 11 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 57 94 112 115 106 84 56 36 25 23 25 36 41 41 40 37
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 14 15 12 8 3 2 2 1 1 1 1 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 4 8 12 13 12 9 8 9 16 24 29 36 45 50 53 54 54 55 56 56 58 61 64 67 64 62 60 60 64 69 74 79 81 81 80 80 80 80 78 76 74 70 64 58 56 57 58 59 60 60 62 63 63 64 68 68 66 63 61 56 50 43 34 26 20 16 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 37 77 109 121 112 88 57 31 14 8 10 14 26 36 42 47
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 13 15 15 11 5 1 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 1 4 6 5 5 4 5 5 4 4 4 6 9 14 19 24 27 29 28 26 24 26 30 39 51 59 62 60 53 44 37 34 35 37 41 47 53 54 53 52 51 47 41 35 29 26 25 24 22 22 21 20 20 19 19 20 23 26 28 30 34 37 42 49 55 58 62 68 71 75 76 76 75 73 70 66 59 49 41 33 20 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 30 61 101 123 113 78 43 23 13 13 19 31 43 54 63
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 14 13 10 5 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 2 6 8 8 7 7 8 9 11 13 15 18 20 23 27 31 34 37 37 36 33 34 36 45 53 57 57 54 45 32 23 18 16 17 19 23 28 31 31 28 22 17 13 10 8 5 4 5 6 7 8 7 6 7 8 10 14 20 25 29 31 33 36 40 43 44 46 48 51 56 61 66 68 68 65 61 57 53 47 37 24 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 37 75 117 131 104 68 41 28 27 34 44 55 64 73
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 11 10 7 4 2 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 5 4 4 6 8 12 16 21 26 29 31 33 37 42 45 47 46 44 40 39 44 51 55 54 51 44 33 22 15 11 8 6 5 6 5 7 8 6 3 1 1 1 1 0 0 0 0 1 0 0 1 2 3 6 9 13 18 21 23 24 25 26 26 24 23 21 21 25 30 34 37 39 40 38 37 39 37 31 23 17 13 8 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 25 49 91 126 127 101 71 52 47 51 59 69 78 86
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