Vorticity
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nan 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 7 7 7 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 10 11 10 7 3 2 2 4 4 5 5 7 8 9 10 10 9 9 9 9 8 7 7 7 7 6 4 3 3 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 nan
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nan 8 8 7 6 5 6 8 10 11 11 10 10 10 10 10 9 8 9 9 10 11 11 11 11 10 9 8 8 9 9 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 11 12 12 11 10 8 7 7 7 6 4 3 2 3 4 6 9 13 18 20 21 20 18 17 16 16 15 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 nan
nan 9 8 7 6 6 8 11 13 14 13 11 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 8 8 7 8 8 9 9 8 8 8 9 9 9 9 10 10 9 9 9 10 11 12 12 12 11 10 9 8 9 8 7 5 4 4 4 4 5 8 13 17 19 20 20 20 20 20 19 17 15 14 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 nan
nan 10 9 8 8 9 11 14 17 16 14 12 11 11 11 11 10 9 10 11 11 11 10 9 8 8 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 10 10 9 8 7 6 7 8 9 9 7 7 7 7 8 8 9 10 9 9 9 8 8 9 10 11 11 11 10 9 9 8 8 9 10 10 9 8 7 7 8 8 8 7 7 6 4 3 4 6 10 14 18 19 21 23 24 24 22 18 16 14 13 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 10 10 10 10 11 12 15 18 16 14 12 11 11 11 11 10 10 10 11 11 10 9 7 6 6 6 6 7 7 8 9 9 7 6 5 6 7 7 7 7 7 8 9 10 11 11 10 9 8 6 6 7 8 7 6 6 7 7 8 9 10 10 10 9 9 9 9 9 10 11 12 13 13 11 10 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 7 5 4 4 6 10 13 15 17 19 22 24 24 21 18 16 15 13 12 11 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 11 10 10 10 10 12 15 18 17 14 13 12 12 11 10 9 9 9 10 9 8 7 7 7 7 7 8 8 7 7 8 8 7 7 7 8 9 9 8 8 8 9 10 11 12 12 11 10 9 8 8 8 8 7 7 7 7 7 8 10 10 9 9 8 8 9 10 10 10 10 11 13 14 13 12 11 11 11 10 10 10 9 8 8 8 9 9 9 8 8 8 8 7 6 6 8 9 10 11 12 15 19 22 23 21 19 17 15 14 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 10 8 7 7 9 12 16 18 16 14 13 12 11 11 9 9 9 9 9 8 8 9 10 11 10 10 11 10 10 9 8 8 9 10 11 11 11 10 9 9 9 10 11 11 11 10 10 9 9 10 11 11 10 9 8 7 7 7 8 9 8 7 7 7 8 9 10 10 10 9 10 11 12 11 11 11 10 11 12 12 11 10 9 9 9 10 11 10 9 9 9 9 9 8 7 7 7 8 7 8 9 14 19 23 24 22 19 17 15 14 13 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 nan
nan 9 7 5 7 9 12 14 15 15 14 12 12 11 10 9 9 9 9 8 7 8 11 13 13 13 13 13 13 12 11 10 10 11 12 13 13 12 11 10 9 10 11 11 11 10 9 8 8 9 11 12 12 12 11 10 10 10 10 10 8 7 6 7 8 9 9 10 10 10 10 9 9 9 9 9 9 8 9 11 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 7 6 6 7 7 7 8 11 15 20 23 23 22 20 17 15 14 13 13 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 nan
nan 9 7 6 7 10 11 11 13 14 13 12 11 12 11 10 9 9 8 8 8 10 13 14 14 14 13 13 13 13 12 11 11 11 11 11 11 11 11 10 10 11 12 12 11 9 8 7 8 9 11 11 11 12 13 14 16 16 16 13 11 9 8 9 9 8 9 10 10 11 10 10 9 9 8 8 8 7 8 9 11 12 13 13 12 11 10 9 9 10 10 10 9 9 9 8 6 6 7 7 8 9 9 11 15 19 22 25 24 21 19 16 15 14 13 13 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 nan
nan 9 8 7 8 10 9 9 11 13 13 11 11 12 11 10 9 9 10 11 12 13 13 13 14 14 13 13 13 13 12 12 11 11 11 10 10 10 10 11 12 13 14 12 10 8 7 7 8 9 10 10 10 11 13 16 19 19 18 17 15 13 12 10 7 6 7 9 10 10 10 10 9 9 8 8 8 8 8 8 9 10 12 14 14 13 11 9 9 10 10 10 9 9 9 9 8 7 7 7 8 8 7 8 10 14 18 22 25 25 23 21 19 18 17 16 15 13 12 12 11 11 11 11 10 10 10 9 9 9 9 9 8 8 nan
nan 11 10 9 9 9 8 8 10 13 13 11 10 10 10 10 10 11 12 13 14 13 13 13 13 13 14 14 14 14 13 12 12 12 11 10 10 9 9 11 12 14 14 11 9 7 6 7 7 8 9 9 9 10 12 14 16 17 17 17 17 16 14 11 9 7 7 9 10 10 9 9 9 9 8 9 9 8 7 6 6 7 9 12 13 13 12 11 10 10 10 10 9 9 10 10 10 9 7 7 7 6 6 6 7 9 12 16 20 23 25 26 25 26 26 25 22 19 15 14 13 12 12 11 11 10 10 10 9 9 9 9 9 9 nan
nan 12 12 11 9 8 7 8 11 13 13 11 10 9 9 9 10 11 11 12 12 12 12 12 12 13 14 16 15 14 12 11 12 12 12 10 9 9 9 10 12 12 12 10 8 7 7 7 8 8 9 9 9 10 11 13 13 14 15 16 17 17 16 14 13 11 10 9 10 10 10 10 9 9 9 9 10 9 8 6 5 6 7 9 10 12 12 13 12 11 11 10 10 10 10 10 10 8 7 6 6 6 5 5 4 5 7 10 14 17 21 24 25 27 30 31 30 26 21 17 15 14 13 12 12 11 11 10 10 10 9 9 9 9 nan
nan 13 13 12 10 8 7 8 10 13 14 13 10 8 8 8 8 9 9 9 9 10 10 10 10 11 13 15 14 12 11 10 11 11 11 10 10 9 10 10 10 11 12 11 10 8 8 8 9 9 9 10 10 10 10 11 11 12 13 15 17 17 15 15 15 13 11 10 10 11 11 11 10 10 10 10 10 10 9 9 8 7 7 8 9 10 12 13 14 14 13 12 11 10 9 8 7 7 7 6 6 6 5 4 3 4 6 8 9 11 13 16 18 19 22 25 27 26 23 20 18 16 15 14 13 13 12 11 10 10 10 9 9 9 nan
nan 13 14 13 10 8 7 7 8 11 14 14 11 9 7 7 7 7 8 8 8 8 8 9 9 9 11 12 13 12 11 10 10 11 11 10 9 9 9 9 9 10 12 12 11 10 9 9 9 10 10 9 9 9 10 9 9 10 12 14 15 14 12 12 12 12 11 10 10 11 11 11 11 11 11 10 9 10 10 11 10 8 7 8 9 10 11 12 13 14 14 14 13 12 10 7 6 7 8 8 7 6 5 5 4 4 5 6 7 8 9 10 10 11 12 14 16 19 19 19 18 17 16 16 15 14 13 12 12 11 10 10 9 9 nan
nan 11 13 13 11 10 8 7 6 8 12 15 13 11 8 7 6 6 6 6 7 8 8 9 9 9 9 10 11 12 12 11 11 11 11 10 8 8 8 8 7 9 11 12 11 10 10 10 10 10 10 9 9 10 9 9 9 10 11 12 11 9 7 7 7 7 7 8 9 10 10 10 11 11 10 9 9 10 12 12 12 9 8 8 9 10 10 10 10 12 13 14 14 13 12 10 8 9 9 8 8 8 7 7 6 5 4 5 7 8 8 8 8 8 9 10 11 13 15 16 16 16 16 16 15 15 14 13 13 12 11 10 10 9 nan
nan 10 11 12 11 10 9 7 6 7 11 14 14 12 10 8 6 5 4 5 7 8 9 9 9 9 9 9 10 11 12 11 11 11 10 9 8 8 7 7 7 8 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 10 7 5 3 3 3 4 5 7 9 10 9 8 8 9 10 10 10 11 12 12 12 10 10 10 10 10 9 9 9 10 11 12 12 11 10 10 10 10 9 9 9 9 9 9 8 6 4 4 6 7 8 8 8 8 10 12 13 14 15 15 15 15 15 15 15 15 14 13 13 12 11 11 10 10 nan
nan 9 10 11 11 10 9 8 7 8 10 12 14 13 11 9 7 4 4 5 7 8 9 9 9 9 9 10 11 11 10 10 11 12 11 9 8 7 7 7 7 7 7 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 8 7 5 4 3 4 5 6 8 10 11 10 9 8 8 9 10 12 12 11 10 10 11 12 12 12 11 11 10 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 11 11 10 8 5 4 4 5 7 8 8 9 11 14 17 19 19 19 18 16 15 14 14 14 14 13 13 12 12 11 10 10 nan
nan 9 10 10 10 10 9 8 8 9 10 11 13 13 11 9 7 5 5 5 6 7 8 9 8 8 9 10 11 10 8 9 12 13 12 9 7 6 6 7 7 6 5 5 8 10 11 10 10 10 10 10 9 9 9 8 8 8 6 5 4 5 6 7 8 9 10 10 11 10 10 10 11 12 12 12 12 10 9 9 11 13 13 12 11 10 10 9 8 9 10 11 11 11 11 10 11 11 11 11 11 11 11 12 11 10 8 5 4 4 5 7 7 8 11 15 18 19 20 22 23 22 20 17 15 14 14 14 13 13 12 12 11 10 nan
nan 8 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 6 5 5 7 8 8 7 8 9 10 11 10 7 9 12 13 12 10 7 6 7 9 8 6 5 5 8 11 11 10 10 9 9 8 8 8 8 8 7 6 5 5 6 7 8 9 9 9 9 9 9 10 10 11 12 13 12 11 10 9 9 11 12 13 11 10 9 9 9 8 8 9 11 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 9 6 5 5 7 8 9 10 12 14 16 17 20 24 26 25 22 18 16 15 14 14 13 13 12 12 11 nan
nan 7 8 8 8 8 9 9 9 10 10 10 10 10 9 8 8 7 6 4 5 7 8 8 8 8 9 10 11 10 8 8 10 12 12 11 8 8 9 10 9 7 6 7 9 10 10 9 9 9 10 9 7 7 7 7 7 6 6 6 7 8 9 9 8 8 7 7 8 10 10 10 11 11 10 9 8 9 11 12 12 10 8 7 7 7 7 8 9 10 11 12 13 14 15 14 13 13 12 11 11 10 10 10 10 11 11 10 9 7 7 8 10 9 8 8 9 11 13 15 18 22 25 25 21 18 17 16 15 14 13 13 12 12 nan
nan 7 8 8 8 8 8 8 9 11 12 10 9 8 8 8 7 7 5 5 5 6 8 8 9 9 10 10 11 10 8 6 8 10 11 11 11 11 10 10 8 8 7 9 9 9 9 8 9 10 11 10 8 8 7 7 7 7 7 7 8 9 9 9 8 7 7 8 9 10 10 10 10 10 8 6 5 7 11 12 10 8 7 7 6 5 5 7 8 9 9 10 11 13 14 15 15 14 13 12 11 11 10 10 10 10 11 11 11 9 9 10 11 10 8 6 7 8 9 9 10 13 19 22 21 19 18 17 16 14 14 13 13 12 nan
nan 8 8 8 8 8 8 8 9 10 12 12 10 8 7 7 7 6 6 6 6 7 7 8 9 10 10 10 11 10 7 6 7 9 10 11 13 12 11 9 8 8 9 9 9 9 9 8 9 11 11 9 9 8 8 7 6 6 6 7 8 8 9 9 8 8 8 8 10 11 10 10 11 10 8 6 5 8 10 10 10 8 8 9 9 8 8 8 8 7 7 8 9 11 12 13 14 14 14 13 12 12 11 10 10 10 10 11 11 11 11 11 12 12 10 8 7 7 6 4 3 4 8 13 15 16 16 16 15 14 13 13 12 12 nan
nan 8 8 8 8 8 8 8 9 10 12 12 11 9 7 6 6 6 6 7 9 9 7 7 9 10 10 10 9 8 7 7 8 9 9 11 13 13 10 9 9 10 9 9 10 9 9 9 9 9 8 8 8 8 7 7 6 5 5 5 6 7 8 8 9 8 8 9 10 10 10 11 11 10 9 7 8 9 10 10 10 9 10 11 12 12 13 12 11 10 9 8 8 9 11 12 12 13 13 13 13 13 13 13 11 10 10 10 11 11 11 11 11 12 13 12 9 8 6 4 1 0 1 5 8 10 12 12 13 13 12 12 11 11 nan
nan 8 8 8 8 8 8 8 9 9 10 11 12 11 8 5 4 5 7 9 11 10 7 7 8 9 9 9 8 7 7 9 9 9 8 10 13 13 11 10 10 10 10 10 10 10 9 8 7 7 8 9 9 8 8 8 7 6 6 6 6 5 6 7 8 8 8 9 9 9 9 10 10 10 9 8 9 10 11 11 10 10 11 12 13 15 15 15 14 13 11 9 8 8 9 9 10 11 12 12 13 14 15 14 13 12 10 10 10 9 9 8 9 10 10 10 9 9 9 9 8 7 5 4 5 7 8 8 9 10 10 10 10 9 nan
nan 8 8 8 8 8 8 8 8 9 9 11 12 12 9 5 4 4 6 9 12 10 8 7 7 8 8 8 8 8 9 11 11 9 7 9 12 12 11 11 10 10 10 10 10 9 9 8 7 8 10 10 10 10 11 11 10 10 10 9 8 6 7 8 8 8 8 8 8 7 8 8 9 8 7 7 9 11 12 11 10 10 11 12 13 13 13 13 14 14 13 10 9 8 8 8 9 10 11 12 12 13 14 14 14 13 12 11 9 8 7 7 8 8 7 7 8 10 12 15 17 16 14 10 8 7 7 7 7 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 11 12 11 9 6 4 3 5 9 10 9 8 8 7 7 8 9 10 10 11 11 10 9 7 8 10 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 10 11 12 12 12 13 13 12 11 10 10 10 9 8 8 7 7 6 7 7 7 7 7 7 9 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 10 9 9 10 11 11 11 11 11 12 13 14 12 11 9 7 7 9 10 10 10 10 11 12 13 15 18 20 18 15 13 11 9 8 8 7 7 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
26 24 25 25 28 29 31 35 37 38 39 37 35 33 28 20 15 15 12 11 7 6 6 7 7 6 6 6 6 5 8 10 17 26 30 30 32 39 47 54 58 61 65 75 83 87 89 86 78 68 60 55 54 54 53 53 55 57 55 50 52 62 62 39 14 2 1 0 0 0 0 0 0 1 3 12 16 15 15 18 20 16 13 13 14 17 17 14 14 20 24 29 30 27 21 14 11 10 9 8 6 4 4 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
28 25 26 27 28 32 31 31 32 32 32 33 35 37 35 27 25 27 22 18 17 14 11 9 8 7 7 6 6 6 7 7 8 11 13 16 22 29 37 46 52 58 62 70 78 82 83 80 74 68 62 59 58 57 57 57 58 59 57 55 62 75 60 36 19 11 5 1 0 0 0 0 0 0 2 7 11 9 8 12 18 18 19 22 20 17 18 16 15 18 20 23 23 19 15 12 10 11 11 10 9 7 7 6 5 4 4 4 3 3 3 3 3 3 2 2 2 2 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
32 26 27 29 28 30 30 31 32 30 29 30 34 38 38 30 27 29 27 24 22 21 20 17 12 9 8 7 8 8 8 9 10 10 9 9 12 17 23 32 40 48 52 56 62 65 64 60 57 58 54 49 47 50 54 57 59 60 59 62 74 79 61 42 27 20 11 3 0 0 0 0 0 0 0 2 3 2 2 5 10 15 21 25 23 18 21 19 19 20 21 21 20 18 15 11 12 12 12 11 10 10 9 9 8 7 6 6 4 4 4 4 3 3 3 3 3 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
34 28 28 30 30 31 31 33 33 32 29 27 29 36 34 30 29 29 29 27 25 25 25 24 22 19 14 11 9 8 7 8 10 11 11 10 10 13 16 20 27 35 40 45 49 51 49 48 47 44 40 39 40 43 46 51 55 58 59 63 76 71 54 41 33 29 19 7 1 0 0 0 0 0 0 0 0 0 0 1 4 8 14 20 22 20 22 23 22 22 23 23 23 22 18 12 12 12 13 15 12 9 9 9 9 9 8 7 6 5 5 5 5 5 4 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
36 31 30 33 36 36 36 36 35 34 31 29 30 34 35 35 35 34 33 30 28 29 30 30 29 27 25 20 17 13 9 8 8 10 12 12 12 12 12 15 18 24 28 32 35 37 38 38 36 32 31 31 31 33 37 41 47 53 57 60 64 51 36 29 26 25 19 11 5 2 0 0 0 0 0 0 0 0 0 0 1 4 10 16 20 21 24 28 27 24 24 25 25 23 20 15 13 12 15 19 17 12 9 8 8 8 8 8 6 6 6 5 5 5 5 4 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0
38 35 33 39 43 42 42 39 38 37 34 32 33 36 39 39 37 36 38 40 42 41 38 37 36 35 33 30 26 22 18 14 11 10 10 10 10 11 11 12 13 15 19 23 26 29 30 30 27 23 24 24 25 27 29 31 37 48 57 62 55 33 16 12 12 10 8 7 6 6 1 0 0 0 0 0 0 0 0 0 0 1 8 15 21 21 27 34 32 26 25 26 27 26 22 19 15 12 13 18 20 17 12 8 7 6 6 6 7 7 7 6 6 6 5 4 4 4 4 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0
36 36 38 46 49 49 48 45 42 40 38 36 36 39 39 42 43 44 45 46 47 48 47 46 45 44 43 40 36 33 29 25 21 18 15 13 11 9 11 11 11 11 12 17 22 26 26 27 27 23 22 24 26 27 28 28 33 46 62 77 62 30 9 3 1 1 0 2 5 8 4 2 1 0 0 0 0 0 0 0 0 0 4 13 22 24 31 39 37 30 27 27 27 27 25 23 18 14 12 15 19 21 13 10 7 6 6 6 7 8 9 8 7 6 5 5 5 4 4 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0
34 36 44 51 54 55 53 51 47 44 41 39 36 38 37 41 42 43 46 48 49 50 51 52 51 52 52 51 48 45 41 37 34 32 29 24 19 16 16 15 14 13 13 15 19 23 24 24 25 26 25 26 26 26 27 29 36 49 63 84 71 39 13 2 1 1 0 1 3 4 7 6 4 1 0 0 0 0 0 0 0 0 2 9 20 27 34 40 39 33 29 28 28 27 26 24 21 17 15 14 16 20 14 11 9 8 7 6 6 8 9 10 8 6 5 5 5 5 4 4 4 4 3 3 2 2 1 1 1 0 0 0 0 0 0
37 42 49 53 56 57 57 55 52 47 43 42 35 34 35 38 40 43 45 48 50 52 54 55 56 56 57 57 57 55 53 50 48 45 42 41 32 26 24 22 21 19 17 17 20 23 24 22 23 25 24 23 23 23 25 29 36 48 59 75 74 53 24 5 1 1 1 0 1 1 4 8 9 7 4 1 0 0 0 0 0 0 0 4 14 27 35 40 39 34 31 30 31 30 29 27 24 19 16 13 17 23 19 14 11 9 8 7 7 8 8 9 9 8 6 5 4 4 4 4 4 4 4 3 3 3 2 1 1 1 0 0 0 0 0
39 44 48 52 56 59 62 63 58 51 45 40 35 34 36 38 39 41 43 46 49 54 56 57 58 59 59 60 61 61 60 60 57 53 49 49 47 42 37 33 30 26 24 23 26 29 26 24 25 25 23 22 22 21 21 29 36 45 53 64 68 65 51 27 8 3 1 0 0 0 2 4 8 10 9 6 2 0 0 0 0 0 0 1 7 19 32 40 40 35 33 32 35 35 33 32 30 24 19 15 18 21 20 16 12 10 10 9 8 8 8 10 10 11 9 7 7 6 4 5 5 5 4 4 3 3 3 1 1 0 0 0 0 0 0
40 44 48 53 56 60 67 70 64 56 47 39 34 35 38 40 38 35 37 40 44 50 54 56 58 60 60 61 61 62 62 62 61 58 56 55 54 52 50 48 42 34 31 30 31 29 25 24 22 21 21 24 26 23 23 29 34 41 47 54 60 62 61 54 30 12 2 1 0 0 0 1 2 4 7 8 5 3 0 0 0 0 0 0 2 10 25 39 40 36 33 34 37 41 41 41 39 33 27 21 20 19 18 17 14 13 13 12 10 8 8 10 11 11 11 10 9 6 4 4 4 4 4 5 3 2 4 3 1 1 0 0 0 0 0
40 40 43 51 56 64 73 75 70 62 52 44 42 41 44 43 38 32 29 30 33 39 46 51 55 58 59 61 62 62 61 60 60 59 59 57 56 56 56 57 55 48 44 40 37 32 26 23 22 21 23 27 29 31 28 26 27 33 38 45 54 58 56 51 43 22 4 1 0 0 0 0 0 1 2 4 5 4 1 0 0 0 0 0 0 2 14 30 36 36 33 33 37 42 42 44 44 41 35 28 24 21 19 17 15 14 15 15 12 10 11 12 12 12 11 11 10 7 6 5 5 5 5 5 4 3 5 5 4 2 1 1 1 1 1
36 36 41 50 63 80 92 88 75 67 60 54 53 48 47 46 41 35 29 26 26 27 32 40 47 53 58 62 64 63 61 59 58 58 59 59 59 58 57 58 59 58 57 53 50 45 36 29 25 23 23 27 30 32 33 30 25 28 35 42 49 55 55 51 48 27 8 2 0 0 0 0 0 0 0 1 2 3 2 0 1 0 0 0 0 0 7 19 28 34 33 31 34 40 42 45 47 46 43 35 30 27 24 21 17 15 14 14 14 13 13 14 13 12 12 12 10 8 7 6 5 5 6 6 5 5 5 5 6 4 2 1 1 1 1
27 33 41 52 71 96 108 92 76 72 68 64 61 55 48 43 39 34 29 27 26 25 27 31 40 50 60 67 70 69 66 63 61 59 58 58 57 55 55 56 57 59 60 60 60 58 50 41 34 28 24 23 26 33 40 38 30 29 34 41 47 55 58 48 53 33 13 3 1 1 1 0 0 0 0 1 1 2 1 1 3 3 1 0 0 0 3 11 20 30 34 32 32 37 42 44 47 49 48 42 37 33 30 27 22 18 15 15 15 15 15 16 15 14 14 13 11 9 6 6 7 6 6 6 5 6 6 5 5 4 3 2 1 1 1
25 29 37 48 63 83 91 78 72 71 71 71 69 63 53 42 32 26 27 27 29 28 30 32 39 49 60 70 76 75 73 70 68 65 61 56 54 53 55 55 54 57 55 56 57 59 56 50 42 37 30 25 23 29 38 39 32 30 34 39 44 53 57 53 54 39 18 5 2 3 5 1 0 0 0 1 2 2 2 3 5 6 3 1 0 0 1 6 14 24 33 33 30 34 40 37 44 49 50 48 45 41 35 32 29 23 19 17 16 15 14 15 15 15 15 14 13 11 7 6 7 6 5 5 5 5 6 6 5 5 4 4 2 1 1
27 28 30 34 42 53 58 57 58 64 70 74 74 69 60 50 40 35 35 31 34 36 35 36 41 50 60 70 78 80 81 80 79 77 74 70 65 62 59 58 55 55 49 48 49 52 54 52 48 45 39 34 28 28 34 33 29 29 30 33 39 48 51 50 47 35 17 5 3 6 9 5 1 0 0 1 1 3 3 4 7 10 13 10 3 0 0 3 9 17 26 32 35 32 34 38 43 48 51 52 51 47 40 37 34 29 25 22 19 18 16 15 14 15 16 16 16 14 10 8 7 7 7 6 5 4 4 4 4 4 3 4 3 2 1
39 35 27 22 26 32 34 35 42 57 68 74 76 74 67 58 48 39 33 35 37 38 39 40 44 50 58 67 75 80 84 84 82 82 83 81 78 74 66 62 58 54 49 44 43 44 47 50 49 50 46 42 37 34 38 34 26 27 27 25 27 31 35 38 32 20 8 2 3 8 13 10 5 1 1 0 1 3 4 5 8 17 23 18 7 1 0 1 5 12 19 28 34 33 32 34 40 47 52 54 54 51 46 42 39 36 32 28 24 21 19 17 16 16 16 17 19 29 45 46 24 16 16 10 5 4 3 4 4 2 2 3 3 2 1
48 40 31 24 23 26 30 29 38 53 66 74 79 78 71 63 53 43 35 33 35 35 38 41 44 50 56 63 70 77 82 84 84 84 84 83 80 76 71 66 61 57 53 47 43 42 42 45 46 48 48 47 43 39 42 41 29 29 28 25 22 23 26 27 21 11 5 3 5 10 15 14 8 2 1 1 1 4 6 7 7 28 35 28 15 5 1 0 2 9 14 22 29 32 31 32 37 45 52 54 55 54 52 50 47 42 38 34 30 27 22 20 19 19 18 17 21 35 68 68 67 59 45 23 7 3 3 4 4 3 4 3 3 2 1
38 31 27 24 23 28 33 32 42 55 64 73 79 78 73 65 57 49 42 36 36 37 41 45 48 54 60 64 69 76 80 82 85 85 83 84 84 80 73 66 62 61 60 53 46 44 42 42 43 44 44 42 44 42 41 43 36 32 31 29 26 28 31 30 24 17 13 11 9 12 16 14 10 5 3 2 4 7 7 9 9 27 40 39 26 10 3 0 0 6 11 16 22 26 29 31 34 43 50 54 56 57 53 52 52 49 46 38 34 30 24 21 21 20 20 20 21 24 59 73 80 81 72 52 33 12 5 5 4 4 5 3 2 2 1
27 25 22 22 24 27 30 28 44 60 72 81 82 80 77 68 60 53 49 44 41 40 44 49 54 60 65 68 74 79 81 83 87 88 86 87 87 81 75 70 71 75 73 63 53 47 42 39 39 39 38 37 40 39 38 41 36 32 31 32 28 27 27 26 23 22 20 18 17 16 15 13 10 9 6 4 7 10 9 11 17 31 41 44 36 13 5 2 0 4 9 13 18 23 26 28 31 38 46 52 56 57 56 54 59 68 71 63 45 36 28 24 22 21 21 20 20 20 43 67 81 90 91 84 71 42 23 10 6 6 5 4 5 3 3
21 20 20 23 28 26 28 25 38 51 72 88 95 96 92 80 66 58 54 50 47 45 44 46 52 60 66 72 79 84 86 87 90 91 90 89 91 92 90 87 88 89 81 67 56 50 40 36 35 39 41 42 41 37 35 34 31 29 31 30 28 27 26 22 20 20 22 22 23 20 18 16 13 11 7 5 9 11 12 13 22 33 40 42 42 21 11 5 2 3 7 12 15 20 24 27 29 33 41 48 53 58 68 85 98 106 105 103 92 79 59 37 24 22 21 19 19 20 27 32 56 90 98 99 94 76 56 21 10 13 16 24 27 16 7
14 14 17 22 30 30 33 31 34 43 61 81 91 92 99 100 87 71 61 57 56 54 52 51 54 58 65 71 77 83 87 92 99 102 96 89 89 102 103 95 86 77 67 56 50 50 39 36 37 42 49 51 46 38 30 25 25 25 27 28 27 24 20 17 19 20 23 25 26 24 21 19 17 14 8 7 9 11 13 15 24 36 40 43 53 41 21 9 5 3 6 10 13 17 22 26 26 28 35 43 49 59 79 108 119 122 122 122 121 116 104 78 36 35 27 20 18 19 21 34 64 79 90 99 100 96 83 67 50 40 43 52 51 45 26
8 11 15 19 24 31 40 44 36 34 46 66 76 73 99 112 110 94 78 71 70 70 67 63 64 62 64 65 68 74 80 86 92 97 104 94 90 99 97 86 74 64 51 39 40 43 39 39 40 43 45 46 42 30 19 17 18 19 21 24 25 20 10 7 13 20 23 24 23 21 18 14 12 10 8 7 8 10 13 15 22 36 50 49 50 46 31 17 10 6 5 7 10 15 20 24 24 25 30 37 44 53 63 100 117 125 128 129 128 128 131 127 107 78 56 32 19 19 23 37 61 72 80 90 101 106 100 88 75 66 63 65 63 59 50
4 7 10 11 12 20 36 50 51 40 37 53 78 96 118 129 131 125 111 100 98 97 87 80 78 73 69 63 61 64 69 74 81 87 92 93 90 88 82 74 65 55 43 34 33 33 33 33 32 32 35 39 36 18 10 9 9 10 12 15 18 17 15 14 19 20 21 22 20 18 14 10 7 5 5 7 8 10 13 15 21 36 51 49 47 51 45 31 19 11 6 6 6 12 18 22 23 25 27 32 37 48 57 88 108 121 130 134 131 128 135 140 136 125 103 68 51 52 44 44 57 69 77 83 93 99 100 95 87 80 76 76 72 67 59
1 3 4 4 4 11 21 32 55 60 53 62 78 92 109 122 127 132 139 139 136 133 119 108 97 93 87 76 66 60 60 63 69 71 72 78 81 74 67 62 53 41 34 29 28 26 26 22 19 19 20 22 20 10 5 3 2 3 4 7 12 14 15 16 17 18 19 19 18 16 14 10 7 4 6 7 7 10 14 18 22 35 52 43 41 55 57 45 31 19 11 9 7 11 16 20 23 24 25 29 34 42 66 83 99 114 126 136 135 132 137 142 145 145 132 110 93 87 75 66 65 69 75 80 85 91 92 92 93 93 92 89 84 78 69
0 1 2 1 1 5 10 15 33 48 57 68 75 80 87 92 88 100 120 131 131 135 138 136 125 126 121 106 86 69 62 59 61 63 60 60 61 55 50 47 38 29 21 19 20 18 17 12 9 10 11 10 8 4 2 1 0 0 1 3 7 10 11 10 11 13 14 14 13 13 12 11 10 6 8 8 8 11 16 21 25 34 50 43 38 45 52 52 44 30 19 15 11 9 12 16 21 24 25 27 31 37 43 51 78 107 120 134 139 139 137 140 145 148 145 135 122 110 97 89 84 81 81 83 86 87 88 90 96 103 109 109 102 94 85
0 1 1 2 1 4 8 10 14 21 31 38 35 28 22 40 46 57 71 78 84 96 102 106 109 120 121 115 105 89 68 55 51 50 45 42 39 34 30 26 22 17 12 13 10 7 6 5 4 4 4 4 4 1 0 0 0 0 0 0 2 4 5 5 6 8 10 9 9 9 9 10 11 10 10 10 11 13 17 21 26 34 45 44 39 40 48 54 51 40 28 20 15 11 9 12 19 22 24 27 30 34 36 39 59 95 113 128 138 141 139 139 142 148 154 155 149 132 114 102 95 91 89 91 94 95 97 99 101 107 118 125 123 118 109
0 1 1 3 3 5 6 5 4 4 6 8 8 9 13 21 28 31 28 28 43 50 42 41 48 58 65 66 60 50 44 39 32 27 21 20 20 17 13 12 11 10 8 9 5 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 6 7 8 9 11 12 12 14 16 20 25 30 34 34 32 31 37 48 49 45 35 23 15 11 8 8 13 17 20 23 25 30 36 38 44 69 99 122 135 142 143 143 144 156 169 170 167 157 143 126 110 99 94 98 102 105 109 114 110 110 119 130 134 130 122
0 0 1 1 2 2 2 2 1 2 3 4 4 5 6 7 13 17 19 21 23 18 15 16 16 17 19 20 17 14 16 20 14 10 7 7 9 8 7 6 6 6 5 5 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 6 7 7 8 10 11 11 12 17 21 25 28 29 27 25 28 36 41 42 36 24 13 8 7 8 9 13 16 19 22 25 28 30 37 49 82 112 129 138 141 141 146 162 174 176 176 173 165 151 133 118 110 107 109 109 112 121 127 126 129 132 139 138 138
0 0 0 0 1 1 1 2 4 5 3 5 6 5 4 4 8 10 11 10 9 4 7 7 7 7 7 5 4 3 3 6 5 5 4 4 5 4 3 2 2 3 3 2 2 2 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 4 5 5 5 6 7 7 7 10 14 19 22 24 22 20 21 24 28 31 28 19 11 6 5 4 5 9 12 14 17 20 24 29 35 41 66 94 115 130 141 146 143 158 172 182 187 187 179 165 160 145 133 121 119 119 123 127 130 132 133 134 139 144 148
0 1 1 1 1 1 2 3 4 4 5 5 4 2 3 5 7 8 8 7 7 5 4 4 4 4 3 2 2 2 2 1 1 1 1 1 2 1 1 0 0 0 1 1 1 1 1 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 1 1 2 3 3 2 3 7 12 15 16 15 14 15 14 16 18 14 7 2 1 1 1 2 5 8 10 11 13 20 24 29 36 53 79 104 124 135 148 150 159 173 182 192 204 217 226 197 170 154 142 136 133 130 129 129 132 132 136 143 152 158
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