Vorticity
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nan 6 7 7 8 9 10 9 7 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 8 9 9 10 10 10 10 10 11 10 8 7 7 8 8 8 9 9 9 9 8 7 5 4 3 3 3 3 4 4 5 6 7 7 7 7 7 6 5 4 4 4 5 5 5 5 5 5 6 7 7 8 8 9 10 11 11 11 10 9 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 nan
nan 6 6 7 8 9 10 9 6 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 8 9 9 9 8 8 9 9 10 9 9 9 8 8 8 9 10 11 12 11 10 8 6 5 4 4 4 4 3 3 4 5 6 7 9 11 11 9 7 6 6 7 7 7 6 5 4 4 4 5 6 6 7 8 9 10 11 11 10 10 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 nan
nan 7 7 7 7 8 9 8 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 8 8 9 10 10 10 9 9 9 10 10 11 11 10 8 7 6 6 6 6 6 5 5 5 5 4 4 7 10 11 11 11 11 12 13 12 11 8 5 4 3 3 3 4 5 6 6 7 8 9 10 10 10 10 9 9 8 7 7 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 7 8 8 7 5 5 6 7 7 7 7 7 7 7 7 7 7 6 7 7 8 7 7 6 6 6 7 8 8 7 6 6 6 6 6 6 6 6 7 7 8 9 8 7 6 6 6 6 8 9 9 8 8 9 9 8 8 9 9 9 9 9 8 8 9 10 11 11 11 10 9 8 7 7 8 8 7 7 7 7 7 7 7 7 8 8 6 3 3 4 5 7 10 13 16 19 18 16 13 9 5 3 3 3 3 3 3 4 5 6 7 8 9 10 10 10 10 10 9 9 8 7 6 6 6 6 7 7 7 7 nan
nan 8 9 8 8 8 8 6 4 4 6 7 7 7 7 7 7 7 8 8 7 6 6 6 6 6 5 4 3 3 5 6 6 6 6 5 6 6 6 6 6 6 7 8 9 9 9 8 7 6 6 7 8 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 9 10 11 11 12 12 11 9 8 7 7 7 7 7 7 7 7 8 8 8 9 8 5 4 4 3 3 5 8 12 15 17 17 15 11 7 5 4 3 3 3 3 3 3 4 4 5 6 7 9 10 10 11 11 10 10 9 8 7 7 6 6 7 7 7 7 nan
nan 8 9 9 8 8 8 6 4 4 6 7 7 7 7 7 7 7 7 8 8 7 5 4 4 4 4 3 3 2 2 3 5 5 6 6 6 7 8 8 7 7 8 9 9 9 9 9 8 8 8 8 9 8 8 8 8 7 7 8 8 9 9 8 8 8 9 9 9 9 10 11 12 12 12 10 10 9 8 8 8 8 8 8 8 8 9 10 9 6 6 6 5 5 4 5 7 9 10 10 10 9 7 7 7 7 6 5 4 4 3 3 3 3 4 4 6 7 8 10 10 11 11 11 10 9 8 7 7 6 7 7 7 7 nan
nan 8 9 10 9 8 7 6 4 4 5 6 7 7 7 7 6 6 7 8 9 9 7 5 4 4 5 5 5 4 3 3 4 6 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 10 11 10 9 8 7 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 9 7 6 6 6 6 6 6 7 7 7 6 6 6 7 10 12 11 9 7 6 5 4 4 3 3 3 4 4 6 7 9 10 11 11 12 11 10 9 8 7 6 6 7 7 7 nan
nan 8 10 11 10 9 7 6 4 4 5 7 7 6 6 7 6 6 6 7 8 9 9 8 7 6 7 7 8 9 8 6 5 6 7 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 11 11 10 10 9 8 7 7 8 7 7 6 6 7 8 9 9 9 10 10 10 9 8 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 8 7 7 7 7 7 7 6 6 6 6 6 5 6 9 11 13 13 11 10 9 7 6 5 5 4 4 4 4 5 6 7 8 9 11 12 12 11 10 9 8 7 6 7 7 6 nan
nan 8 10 11 10 9 8 7 6 5 6 7 8 7 7 7 7 6 5 5 6 8 9 9 9 9 9 8 9 10 11 9 7 5 5 6 8 8 9 9 8 8 7 6 6 7 8 8 9 9 10 9 9 9 10 11 12 12 12 10 8 7 7 8 8 8 8 9 10 10 10 9 8 7 7 6 7 7 7 8 9 10 11 11 11 11 9 7 6 6 7 7 7 7 7 7 7 7 7 6 6 7 8 9 10 11 12 13 13 11 9 8 7 6 6 5 5 5 5 6 7 8 10 11 11 11 11 10 8 7 7 6 6 6 nan
nan 8 10 11 10 9 9 9 7 5 6 8 8 8 7 8 8 7 6 6 6 7 8 8 9 8 8 8 8 10 11 11 9 7 5 5 7 8 8 8 9 8 7 6 6 7 8 8 8 9 8 8 9 10 11 13 15 15 14 13 11 10 10 8 7 6 7 9 9 9 9 8 7 7 6 7 7 7 7 7 7 9 11 12 12 11 8 6 5 6 7 7 7 7 8 9 9 8 7 6 6 6 6 6 7 9 12 13 14 14 13 12 12 12 11 10 8 6 5 5 5 6 8 9 10 11 11 10 9 8 7 7 6 6 nan
nan 7 8 9 9 9 9 10 8 5 6 8 9 8 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 8 10 11 11 9 7 7 7 7 7 8 9 9 7 6 6 6 7 7 7 8 8 9 9 10 12 13 13 13 13 13 13 13 12 9 7 6 7 8 9 9 8 7 7 6 6 6 7 7 5 5 5 6 8 10 11 10 8 7 6 7 7 7 7 8 9 11 11 9 6 5 4 4 4 4 4 5 7 9 12 14 15 17 19 19 19 16 12 7 4 3 3 4 6 7 9 11 12 11 10 9 8 7 7 7 nan
nan 5 6 6 7 8 9 10 8 5 5 7 9 9 9 9 10 10 9 9 8 8 8 7 6 6 5 5 5 6 8 10 11 10 9 8 8 8 8 8 8 7 6 5 5 5 5 6 6 7 8 9 11 12 12 13 12 12 12 13 14 14 13 12 10 9 8 8 8 8 7 7 6 6 6 7 8 7 6 5 5 6 7 8 8 8 9 9 9 9 8 8 8 8 10 10 9 7 4 3 3 3 3 2 2 2 4 7 9 12 15 18 20 21 20 17 11 4 1 0 1 2 4 6 9 11 12 12 11 10 9 8 7 7 nan
nan 4 4 4 6 8 9 9 8 6 5 6 8 9 9 9 9 9 9 9 9 9 8 8 7 6 6 5 4 5 6 7 8 9 8 8 8 9 9 9 9 7 6 5 4 5 5 6 6 7 9 10 11 12 12 12 12 12 13 14 15 15 15 14 13 11 9 7 7 7 7 7 6 7 7 8 8 8 7 6 6 7 7 7 7 8 9 10 11 11 10 9 9 9 8 8 6 4 4 4 4 4 3 2 2 3 5 7 8 9 11 13 14 14 12 8 2 -1 -1 -1 -0 2 4 6 9 12 12 13 12 11 10 9 8 7 nan
nan 4 3 3 6 8 9 10 9 7 4 4 6 9 10 10 10 9 9 9 9 8 8 8 8 7 6 5 3 3 4 5 6 7 7 7 8 9 9 10 10 8 6 4 4 4 5 6 7 8 8 9 9 10 10 10 11 12 13 15 16 16 15 14 13 10 7 5 5 6 6 7 8 8 9 8 7 7 7 7 7 7 6 6 7 8 9 10 11 11 11 11 11 10 9 7 5 5 6 6 6 5 4 4 4 5 6 7 7 7 7 7 8 7 3 -2 -5 -4 -2 -1 1 3 5 7 10 12 13 13 13 12 11 10 9 8 nan
nan 5 3 3 5 6 8 10 10 9 5 3 5 7 9 11 11 10 10 9 8 8 8 8 8 8 7 5 4 3 3 4 4 5 6 7 8 9 9 10 10 9 7 5 4 5 5 6 7 7 8 8 8 8 8 9 10 11 13 15 15 13 12 11 10 8 6 4 4 4 5 6 7 8 9 7 6 7 8 9 8 7 6 6 7 8 8 9 9 10 11 12 12 11 10 8 7 7 7 7 7 7 6 6 6 5 5 6 6 7 7 6 6 4 0 -3 -4 -1 1 3 4 5 7 9 10 12 13 13 13 12 11 10 9 9 nan
nan 6 4 4 4 5 7 9 10 10 7 4 4 6 8 10 11 11 11 10 8 8 7 7 7 7 7 7 6 5 5 4 3 4 5 6 8 9 9 10 11 10 9 7 5 5 5 6 6 7 7 7 7 8 8 8 8 10 12 12 11 9 7 6 6 6 6 6 6 6 5 5 5 6 7 8 8 9 9 9 8 7 7 8 8 9 8 8 8 9 9 10 9 9 8 8 8 8 8 8 7 7 7 7 7 5 4 4 5 6 7 7 5 3 0 -0 3 6 9 10 9 8 9 9 11 12 13 13 13 13 12 11 10 9 nan
nan 7 6 4 4 5 6 8 9 9 7 5 4 5 7 8 10 11 11 10 9 9 8 8 8 7 7 7 7 7 6 5 3 3 4 5 7 7 8 9 10 10 9 8 6 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 7 5 4 4 5 7 9 10 10 9 8 6 5 5 7 9 9 9 7 7 7 8 9 10 10 9 9 8 8 7 8 7 7 6 6 7 8 8 8 8 8 8 8 8 7 6 4 3 3 4 6 6 5 4 5 8 13 17 18 16 14 12 11 10 11 12 12 13 13 12 12 11 10 9 nan
nan 7 6 5 5 5 6 7 8 8 7 6 4 5 6 8 9 11 12 12 11 10 9 9 9 8 8 7 7 6 7 5 3 2 3 5 5 5 6 7 8 9 9 8 6 5 5 5 5 6 5 6 6 7 6 6 6 6 6 5 4 4 4 6 8 10 11 12 12 12 11 10 9 8 9 9 8 7 5 5 8 10 11 10 9 9 8 7 6 6 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 6 4 3 3 4 5 6 7 10 16 20 22 20 19 18 16 13 11 10 11 12 12 12 11 11 10 9 8 nan
nan 7 6 5 6 6 6 7 7 7 7 6 5 5 6 8 9 10 11 12 11 10 9 9 9 10 9 8 7 7 8 6 4 2 3 4 5 5 5 6 7 9 10 10 8 6 5 5 5 5 4 4 4 5 5 5 5 5 5 4 3 4 6 9 10 11 11 11 11 12 12 12 12 11 10 9 7 6 5 6 9 10 9 8 7 7 7 6 6 7 8 10 11 12 11 10 10 9 9 8 8 8 8 8 8 8 8 6 4 3 3 5 6 8 11 14 16 16 16 17 18 17 14 10 9 9 10 10 10 10 10 9 9 8 nan
nan 7 7 6 7 7 7 6 6 6 6 6 6 6 7 8 9 9 10 11 11 9 8 7 8 9 10 10 9 10 11 10 7 3 2 3 4 5 6 7 8 9 11 12 11 9 8 7 6 4 3 3 4 4 4 4 3 4 4 3 3 5 8 10 10 10 9 8 9 10 11 12 12 11 9 8 7 7 8 9 9 7 5 3 4 4 5 6 7 8 9 10 11 12 13 12 12 11 10 9 8 8 8 8 8 8 8 7 6 4 4 6 7 7 7 7 8 9 10 11 13 13 12 8 7 7 8 8 8 9 9 9 8 8 nan
nan 8 8 7 7 7 7 6 6 5 4 5 6 7 8 8 9 9 10 11 11 10 8 7 6 7 8 9 10 11 13 13 11 7 3 2 3 5 7 7 7 8 10 12 13 12 11 10 8 6 4 5 6 5 5 4 3 3 3 3 4 6 9 9 8 8 7 8 9 10 11 11 12 11 9 7 6 7 10 10 8 6 4 3 3 2 3 4 6 6 6 7 9 11 12 13 14 13 11 10 9 9 9 8 8 8 8 8 7 7 7 7 8 7 6 4 4 4 4 3 3 4 4 3 4 4 5 6 7 8 9 9 9 8 nan
nan 8 8 8 8 7 7 7 6 5 3 4 5 7 8 8 8 8 9 10 10 10 10 9 8 8 8 8 9 9 11 13 13 11 8 6 5 5 5 5 6 7 8 10 11 11 12 12 12 9 7 7 7 7 6 4 4 3 2 3 4 6 8 8 7 7 7 8 9 10 10 11 12 12 10 9 8 9 10 11 10 9 8 8 6 5 5 5 4 4 4 5 7 9 11 13 14 14 13 12 11 11 10 9 9 9 8 8 9 9 9 8 8 8 7 6 3 0 -3 -6 -7 -8 -9 -4 -0 3 5 6 7 9 10 10 10 9 nan
nan 8 8 8 8 8 7 7 7 6 4 3 4 6 8 9 8 8 8 8 8 9 11 12 11 10 9 8 7 7 7 9 11 12 12 9 7 6 5 5 5 6 7 8 8 9 11 12 12 10 8 7 7 6 5 4 3 2 1 2 2 4 5 5 6 6 7 8 9 10 10 11 12 12 12 12 11 11 12 12 12 13 13 13 12 12 11 10 7 6 5 5 6 8 10 11 11 12 12 12 12 12 12 11 10 9 8 9 10 11 10 8 7 7 8 7 4 -0 -4 -7 -9 -11 -9 -4 1 4 6 7 9 10 11 11 11 10 nan
nan 8 8 8 8 8 7 7 7 7 5 4 3 4 7 9 9 9 7 6 6 7 10 12 11 10 9 7 6 6 6 7 8 10 11 10 7 6 7 7 7 7 7 7 7 7 9 10 11 11 10 9 8 7 5 4 3 3 2 1 -0 -1 1 2 4 6 6 7 8 9 9 10 11 11 11 12 13 13 13 13 13 14 15 15 15 15 14 13 12 11 9 7 5 6 7 8 9 10 11 12 12 13 14 14 12 10 9 10 10 9 7 6 5 5 6 5 4 4 4 4 2 1 2 4 6 7 8 8 9 10 11 11 11 10 nan
nan 8 8 8 8 8 7 7 7 7 7 6 4 4 6 9 11 10 9 6 5 5 7 8 9 8 8 7 6 6 6 7 8 10 11 10 7 6 6 8 8 8 7 7 7 6 7 8 9 11 11 11 10 10 10 9 8 7 7 5 2 0 0 2 4 5 6 7 7 7 7 8 9 9 9 11 12 13 13 12 12 12 13 14 14 14 13 13 15 15 13 10 7 5 5 6 8 10 11 12 12 13 14 14 13 12 12 10 8 6 4 5 5 5 4 4 6 9 12 15 14 12 9 8 7 8 8 9 9 10 11 11 11 10 nan
nan 8 8 8 8 8 8 7 7 7 7 6 5 5 6 9 11 11 10 7 5 4 5 5 6 6 7 7 8 8 8 7 7 9 11 11 9 7 6 6 7 8 8 7 7 6 6 7 8 8 9 10 10 10 11 12 13 12 12 11 10 7 6 5 5 5 6 6 6 5 6 7 7 8 9 10 11 12 11 10 10 10 11 11 11 12 12 14 15 15 15 13 11 10 9 8 9 10 11 11 10 10 11 12 13 13 12 9 7 5 5 7 9 9 8 8 9 11 13 15 14 12 8 7 6 7 7 8 9 10 11 11 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
32 33 33 34 35 36 37 36 36 36 37 38 36 35 34 34 34 34 34 36 41 48 50 50 48 44 42 40 38 38 36 32 31 31 31 29 29 31 33 33 31 31 30 30 30 29 28 29 29 28 25 22 22 20 14 12 7 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 8 28 42 43 49 56 53 53 58 59 59 61 66 72 78 85 91 96 92 85 80 77 80 87 97 105 107 102 96 93 93 89 83 78 77 76 74 71 70 67 63 60 57 55 53 51 47 43 41 40 39 36 35
30 30 31 31 31 32 33 32 31 31 31 30 30 30 30 32 33 35 34 36 41 48 47 40 34 31 31 32 33 34 34 29 27 26 23 22 23 26 27 27 28 28 30 31 31 30 30 30 30 29 25 22 24 19 15 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 31 41 43 48 55 53 56 58 59 59 61 65 70 74 79 82 89 93 91 85 82 85 95 109 119 124 122 116 111 104 100 99 97 98 99 97 93 91 85 77 70 64 60 58 56 54 51 48 45 41 38 36
26 27 28 28 30 29 28 27 26 26 25 26 27 29 32 34 35 37 37 38 37 34 33 32 32 33 32 29 29 29 30 28 27 26 23 20 20 21 22 22 24 26 29 30 30 31 31 30 30 27 23 22 23 18 15 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 32 40 41 51 58 58 60 62 64 64 65 67 71 76 78 79 82 86 91 90 88 91 102 117 126 128 126 120 114 113 114 113 115 118 120 119 115 110 104 96 86 76 68 63 59 57 56 54 49 44 40 38
22 21 23 24 25 24 24 24 25 27 27 27 28 30 33 34 35 35 34 32 29 29 31 32 33 33 31 27 26 26 27 27 26 24 20 18 18 19 21 22 22 23 26 28 30 30 30 29 28 26 23 22 20 17 13 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 35 40 45 57 62 62 63 68 71 71 69 70 74 78 81 83 83 84 89 93 92 95 108 124 134 131 128 129 133 136 135 133 131 132 132 132 127 122 118 111 103 93 83 73 64 60 56 55 52 49 44 40
22 22 23 22 22 23 24 27 31 33 34 33 32 30 29 27 26 27 29 31 31 32 32 31 29 27 28 26 26 27 26 25 24 22 19 18 18 20 19 19 20 21 22 25 27 28 28 27 26 24 22 21 19 16 12 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 29 41 43 52 61 65 66 69 75 77 74 72 73 76 80 83 86 86 87 90 95 99 106 116 130 139 139 139 140 140 143 146 141 136 134 134 135 135 132 126 120 115 109 101 90 78 68 61 58 56 54 50 46
21 21 21 23 23 24 28 34 37 36 34 33 31 29 27 25 26 27 29 29 30 31 30 28 25 25 25 26 27 25 24 22 20 19 16 16 17 18 18 18 19 20 20 22 25 26 26 25 23 22 20 19 16 13 11 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 36 45 53 61 67 69 71 77 81 80 76 74 75 80 83 86 87 89 93 99 107 113 121 124 135 141 143 146 147 146 144 144 135 130 130 128 128 129 131 129 126 122 120 115 109 99 86 76 69 64 62 59 54
23 22 22 26 26 27 33 36 35 32 30 28 27 25 25 24 24 24 26 29 29 28 25 24 24 24 25 24 23 22 20 19 18 17 14 12 12 15 16 16 17 18 18 20 22 23 23 23 23 21 19 17 14 11 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 24 41 50 59 69 72 73 77 82 85 84 81 78 82 85 85 86 89 96 105 117 125 136 137 138 144 148 148 149 152 148 139 134 130 126 125 121 119 121 123 124 122 121 121 121 119 115 108 99 89 81 76 71 66
27 26 25 28 28 28 29 29 29 27 25 24 23 23 22 24 25 25 27 28 26 24 23 23 23 24 23 21 20 19 19 18 17 15 11 9 11 13 13 13 15 16 16 17 19 21 21 22 21 20 18 16 13 10 8 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 29 43 53 63 67 70 77 82 85 91 90 89 86 87 87 87 89 96 109 125 139 147 152 151 152 156 159 157 153 151 147 141 135 129 124 122 118 115 113 113 114 114 113 116 120 123 125 123 118 113 106 100 91 81
26 27 27 26 26 25 25 25 24 23 23 22 22 23 23 25 26 26 26 25 23 21 20 21 23 23 20 19 19 18 18 17 14 12 10 7 8 10 11 12 12 13 14 15 17 18 18 19 19 17 15 13 10 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 34 46 57 68 74 80 87 90 94 100 95 91 88 87 87 90 96 108 128 141 149 154 155 153 155 158 159 156 149 145 143 140 136 128 123 120 117 114 109 106 108 107 106 107 111 117 122 124 124 123 123 122 117 106
24 26 25 23 22 22 22 22 22 22 23 23 23 24 25 25 24 22 21 21 21 20 20 22 21 20 18 18 17 17 16 14 12 10 11 10 8 9 10 10 10 11 11 13 15 15 16 16 15 14 12 10 8 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 39 50 60 72 81 89 96 103 103 103 96 91 86 82 85 95 106 121 139 145 146 149 151 149 149 151 150 148 148 146 144 135 126 121 120 118 116 114 111 107 106 105 103 101 105 112 118 122 123 123 127 134 138 131
23 23 23 22 20 20 20 20 22 23 24 23 23 23 23 23 22 21 21 20 20 23 21 20 18 17 17 17 16 15 14 11 10 10 9 7 6 7 7 8 9 10 10 11 12 13 14 13 12 11 10 8 7 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 5 22 40 51 61 73 87 95 101 109 106 104 99 92 85 82 87 99 111 129 142 147 149 149 147 144 145 146 143 142 144 142 141 134 125 120 117 115 113 113 113 112 110 107 104 103 108 116 123 124 120 118 124 135 145 146
20 21 22 21 20 19 20 22 24 24 23 21 19 19 19 20 19 18 18 19 20 20 18 16 15 15 15 15 15 14 12 10 11 9 7 6 6 5 5 6 8 10 9 9 10 11 11 11 10 10 8 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 0 9 26 41 51 57 68 80 88 97 105 106 106 102 92 82 84 91 101 116 131 141 148 153 150 141 141 145 146 139 142 143 139 136 134 130 123 119 115 111 111 111 112 114 113 112 112 116 122 128 126 120 114 116 126 138 151
16 19 20 20 20 20 21 23 22 21 20 18 17 17 17 18 18 18 20 20 18 16 15 15 15 14 13 13 14 12 11 9 9 8 6 5 6 5 4 5 5 6 7 7 7 8 8 9 8 7 6 5 3 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 3 15 30 41 51 60 67 76 85 93 100 101 99 95 89 85 86 91 104 120 131 138 143 145 140 134 135 139 142 142 150 153 149 147 145 139 131 124 119 115 114 112 112 114 118 122 123 124 127 130 127 122 118 115 117 127 145
11 13 16 18 18 18 19 20 19 18 17 18 18 17 16 17 17 17 17 17 15 14 14 13 13 13 13 12 12 11 9 9 8 6 6 4 2 2 2 3 3 4 5 7 6 6 6 7 7 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 0 1 7 19 31 39 49 63 70 76 82 87 93 95 95 96 92 86 83 90 106 122 133 137 138 137 135 133 132 137 142 153 163 169 169 165 158 145 133 127 121 116 114 114 115 117 122 126 129 130 133 133 132 129 124 120 119 123 133
7 9 12 16 17 16 16 17 16 16 15 16 16 14 14 15 15 15 14 14 13 12 13 12 12 13 12 11 10 9 8 7 5 4 4 2 2 1 1 1 1 2 3 5 4 4 4 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 2 9 21 32 37 45 58 67 74 79 81 87 92 93 93 90 88 85 95 108 121 131 135 134 131 130 130 137 143 152 163 170 171 167 161 156 147 139 132 125 118 114 114 114 116 121 128 131 129 129 129 130 129 125 121 122 123 127
3 4 6 11 13 13 14 14 14 15 14 15 13 12 12 13 14 14 11 12 12 11 11 11 11 11 10 9 8 7 7 5 3 3 2 1 1 1 0 0 0 1 1 2 2 3 3 3 3 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 3 11 22 31 36 41 49 59 72 80 81 82 87 88 87 87 91 92 96 106 119 131 137 134 129 136 145 151 154 158 164 166 165 162 158 152 149 146 142 134 126 121 118 116 116 122 127 127 126 126 128 130 128 125 124 128 130 130
2 1 2 3 7 11 12 12 12 11 11 11 11 9 10 11 11 13 10 11 11 11 10 10 10 8 8 7 6 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 1 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 4 13 21 26 34 40 46 53 65 76 80 79 81 84 80 81 88 91 93 102 119 134 139 134 135 149 162 164 163 164 167 168 166 162 153 150 148 146 143 138 132 128 124 122 122 123 123 121 118 118 123 130 134 135 135 137 138 141
1 0 0 2 4 7 8 8 9 9 9 9 8 7 7 9 8 9 8 9 9 8 7 8 8 7 6 6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 21 24 30 40 44 46 55 71 81 77 73 80 76 75 80 88 92 101 121 138 138 135 145 159 167 170 171 173 177 178 172 166 158 151 144 140 138 135 132 128 126 130 129 128 125 120 115 112 115 121 131 139 144 143 143 149
0 1 1 3 3 4 4 5 7 7 7 7 6 5 5 6 7 7 6 6 7 6 5 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 20 22 27 36 42 44 49 61 79 78 72 75 73 70 73 83 92 102 124 137 136 140 153 168 178 182 183 183 183 178 171 164 153 145 142 139 136 131 131 130 133 135 134 134 132 128 123 118 117 121 126 135 142 145 150 157
1 2 2 2 3 3 3 3 5 5 5 5 4 3 3 4 4 5 7 5 6 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 10 18 22 26 31 38 44 44 52 70 76 72 71 71 69 69 79 90 104 125 134 137 147 162 178 189 195 196 192 184 177 168 161 156 153 149 144 139 137 136 136 136 134 134 137 140 139 134 129 127 125 123 127 133 141 152 161
1 1 1 1 2 2 2 2 3 3 3 3 2 1 2 3 2 3 4 4 4 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 11 16 22 25 28 35 43 44 50 63 71 70 69 70 67 65 73 83 99 118 128 138 155 174 186 196 206 207 198 184 173 165 162 161 161 159 154 148 146 141 139 137 133 134 140 145 146 140 135 129 126 123 121 124 133 149 158
0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 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 1 7 11 16 20 23 25 31 39 46 52 60 68 71 72 71 70 67 67 74 86 104 118 135 158 177 186 191 201 207 202 189 177 174 177 184 185 178 170 161 151 143 140 141 142 144 147 149 146 142 136 130 125 123 121 119 126 143 154
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 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 10 15 18 20 22 28 34 40 50 57 62 68 72 72 71 69 62 65 77 94 110 128 152 173 181 182 202 211 209 199 191 191 196 203 203 197 183 168 154 145 143 147 152 156 156 150 145 141 136 129 125 124 124 120 124 136 149
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 17 19 21 27 33 37 48 56 62 67 71 72 74 70 63 61 70 85 102 121 148 170 176 182 200 215 219 211 200 198 203 211 215 208 190 172 158 151 150 154 159 162 160 151 145 141 137 128 122 126 128 125 126 131 138
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 15 18 22 27 31 39 48 57 65 69 70 71 74 73 67 63 66 78 94 116 145 163 178 194 211 223 225 218 206 202 206 217 220 210 192 172 158 150 149 157 154 161 162 158 151 147 142 129 125 127 128 130 131 130 131
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 14 16 20 27 33 39 48 59 68 72 74 71 74 77 72 65 62 71 86 109 135 157 181 206 222 225 221 218 214 214 220 230 228 213 193 176 165 159 161 164 167 168 170 168 161 155 141 131 128 127 127 131 133 131 132
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 14 17 22 28 34 40 50 62 70 73 77 76 77 79 77 70 62 66 77 99 125 153 186 216 230 229 224 224 228 227 233 240 236 223 208 197 187 167 164 168 173 178 182 178 167 156 145 140 137 133 130 130 134 138 144
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 13 15 18 24 29 34 41 52 62 69 72 76 77 79 82 83 77 66 63 71 90 117 144 177 211 230 232 229 238 246 249 254 253 239 223 213 213 200 181 176 177 177 179 184 182 169 159 155 152 148 142 137 132 133 136 147
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 14 17 21 25 31 37 44 54 63 68 71 74 77 80 83 84 80 70 63 67 86 112 139 173 208 230 240 243 261 271 274 274 263 244 226 214 216 207 196 192 190 183 180 182 181 174 166 161 158 153 147 143 140 138 136 144
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 15 19 23 28 34 38 46 55 62 66 68 72 75 78 83 87 84 75 65 65 81 106 132 161 194 219 243 259 279 293 294 289 291 275 255 248 240 225 209 196 186 184 182 184 186 184 179 175 170 163 159 156 151 148 142 140
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