Vorticity
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nan 6 7 7 8 10 11 10 6 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 7 6 6 6 7 7 7 6 6 7 7 7 7 6 6 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 9 10 10 9 10 11 11 10 8 6 6 7 8 8 9 9 9 8 7 6 4 3 2 2 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 nan
nan 6 6 7 8 10 11 9 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 9 8 8 7 8 8 9 10 11 12 11 9 7 5 3 3 3 4 4 3 3 4 5 6 6 7 9 9 8 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 8 9 9 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 nan
nan 7 7 8 9 10 10 9 6 5 5 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 7 7 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 11 11 10 9 7 5 4 4 5 6 5 5 5 5 5 4 4 6 8 9 9 10 11 13 13 13 11 8 6 5 5 5 5 6 6 6 7 7 8 9 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 nan
nan 8 9 9 9 9 9 7 5 5 5 6 7 7 7 7 7 7 8 7 6 6 6 7 7 7 6 6 6 6 7 8 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 6 6 6 8 9 9 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 10 10 10 10 10 9 8 7 7 7 6 5 5 6 6 7 7 7 8 8 5 3 3 4 5 6 9 12 16 18 18 16 13 9 5 4 4 4 5 5 5 5 6 6 7 8 9 10 11 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 nan
nan 9 9 9 8 9 9 7 4 4 6 7 7 7 7 7 7 7 8 8 7 6 5 5 6 5 4 4 3 4 5 6 7 6 6 5 6 7 7 6 6 6 7 8 9 9 8 8 7 6 6 6 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 12 10 8 7 6 6 5 5 6 6 7 7 8 8 8 7 5 4 3 3 3 4 8 12 15 16 17 15 11 8 5 4 4 5 5 5 4 4 4 5 6 8 9 10 11 11 11 10 10 9 9 8 7 7 7 7 7 8 8 8 nan
nan 9 10 9 8 8 9 6 3 4 6 7 7 7 7 7 7 7 7 8 8 7 5 4 4 4 4 3 3 2 2 4 5 6 6 6 6 7 8 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 12 13 12 11 10 9 8 7 6 6 7 7 7 8 9 9 8 6 5 5 5 5 4 5 7 9 10 10 10 10 8 8 8 7 6 6 5 5 4 4 4 4 5 6 8 9 10 11 11 11 11 10 9 8 7 7 6 7 7 7 7 8 nan
nan 8 9 10 10 9 8 5 3 4 5 7 7 7 7 7 6 6 6 8 9 9 7 5 4 5 5 5 5 4 3 3 4 6 7 8 8 8 9 9 9 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 7 5 5 6 7 7 6 7 7 8 9 9 9 9 9 9 10 11 10 10 9 9 8 8 8 8 7 7 8 9 10 11 9 7 6 6 6 6 6 7 7 8 8 7 7 7 8 11 12 11 9 8 6 6 5 4 4 4 4 5 6 8 10 11 11 11 11 11 10 9 8 7 6 6 6 7 7 7 nan
nan 8 10 11 11 9 7 5 4 4 5 7 7 7 7 7 6 6 6 7 9 10 9 8 7 6 6 7 8 8 7 6 5 6 7 9 9 9 9 9 9 8 7 6 6 7 7 8 9 11 12 12 12 11 10 8 7 7 7 6 6 5 6 6 7 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 8 9 9 10 10 10 8 7 6 6 6 7 7 7 7 7 7 7 6 7 9 12 13 13 12 10 9 7 6 6 5 4 4 4 5 7 9 10 11 11 11 11 10 9 8 7 6 6 6 6 7 7 nan
nan 9 11 12 11 8 7 6 5 4 5 7 8 7 7 7 7 6 5 5 7 8 9 9 8 8 8 8 8 10 10 9 7 5 5 7 8 8 9 9 9 8 6 6 6 7 8 9 9 10 11 10 10 10 11 12 12 12 11 10 8 7 7 7 7 8 8 9 10 10 9 9 8 8 7 7 6 6 7 7 8 9 10 11 11 10 9 7 6 6 7 7 7 7 7 7 8 8 7 7 7 7 9 10 11 12 13 13 12 10 9 7 6 6 5 5 5 6 7 8 9 10 11 11 10 10 9 8 7 6 6 6 7 7 nan
nan 8 11 11 10 8 8 8 6 4 5 8 9 7 7 8 8 7 6 6 5 6 7 7 8 8 7 7 7 9 10 10 9 6 5 6 7 8 8 9 9 8 6 5 6 7 8 8 9 9 9 9 9 10 12 14 15 15 14 13 12 11 9 8 6 5 7 8 9 9 9 8 7 7 6 6 6 6 6 6 6 8 10 11 12 11 8 6 5 6 7 7 7 8 8 9 9 9 7 6 6 6 6 6 8 10 12 13 14 13 12 11 11 11 10 9 7 6 5 6 7 9 10 10 11 10 9 8 7 6 6 6 7 7 nan
nan 7 8 9 9 8 9 10 7 5 5 8 9 8 8 9 9 8 7 7 6 5 6 6 6 6 6 5 5 7 9 11 11 9 7 7 7 7 8 8 9 8 6 5 5 6 7 7 8 8 8 9 10 11 12 13 14 15 15 14 14 13 11 9 7 5 6 8 9 9 8 7 7 6 5 6 6 6 5 4 4 6 8 10 10 10 8 7 7 7 7 8 8 8 9 11 11 9 6 5 4 4 4 4 5 6 8 10 12 13 15 16 17 18 17 14 10 5 2 3 4 7 8 10 11 11 10 9 8 7 7 7 7 7 nan
nan 5 6 7 7 8 10 10 7 5 5 7 9 9 9 9 9 9 8 8 7 6 6 6 6 5 5 4 4 5 7 9 10 10 9 8 8 8 8 8 8 6 5 5 5 5 6 6 7 7 8 10 11 12 13 14 14 14 14 14 14 14 13 12 10 9 8 8 8 8 8 6 6 5 6 6 7 7 5 4 4 6 7 8 8 9 9 9 10 9 9 9 8 9 10 10 9 7 4 3 3 3 3 3 2 3 5 7 10 12 14 17 19 19 18 15 9 2 -0 -0 2 4 7 10 11 12 12 11 10 9 8 7 7 7 nan
nan 4 4 5 7 9 10 10 8 5 4 5 8 10 10 9 9 8 8 8 7 7 7 7 6 6 5 4 4 4 6 7 8 9 8 8 8 9 9 9 8 6 5 4 4 5 5 6 6 7 8 10 11 12 13 13 13 13 13 14 15 15 15 15 14 12 9 7 7 7 7 6 6 6 7 8 8 7 6 6 6 7 7 7 8 8 9 11 12 12 11 10 9 9 9 8 6 4 4 4 4 4 3 2 3 4 6 7 8 9 10 12 13 13 11 6 -0 -3 -3 -2 0 3 6 9 12 13 13 12 11 10 9 8 7 7 nan
nan 4 3 3 6 8 10 10 9 7 4 4 7 9 10 10 10 8 8 8 8 7 8 7 7 7 6 4 3 3 4 5 6 7 7 8 9 9 9 9 9 7 5 4 4 4 5 6 6 7 8 9 9 10 11 11 12 12 13 15 16 16 16 16 15 12 9 6 5 5 6 6 7 7 8 8 6 6 7 7 7 7 7 7 7 8 9 11 12 12 12 12 11 11 9 7 5 5 5 6 6 5 4 4 5 6 7 7 7 7 7 7 7 6 3 -3 -7 -5 -3 -1 1 4 6 9 11 12 13 13 12 11 10 9 8 7 nan
nan 4 3 3 5 7 8 10 11 9 5 3 5 8 10 11 11 10 9 9 8 8 8 8 8 8 7 5 3 3 3 3 5 6 7 8 9 9 9 10 10 9 7 5 4 4 5 6 7 7 8 8 8 8 8 9 10 11 13 15 15 14 14 13 12 10 7 4 2 3 4 5 7 8 8 7 6 7 8 9 8 7 7 7 8 8 9 9 10 11 12 12 12 11 10 7 6 6 7 7 7 6 6 6 7 6 6 6 7 7 7 6 5 3 -0 -4 -5 -2 1 3 4 5 7 8 10 11 12 13 12 11 10 9 8 7 nan
nan 5 4 3 4 5 7 9 11 11 7 4 4 5 8 10 11 11 11 10 9 8 8 8 8 8 8 7 6 5 4 3 3 4 5 7 8 9 9 10 11 10 9 7 6 5 5 5 6 7 7 7 7 7 8 8 8 10 12 12 12 11 9 8 7 6 5 4 4 4 3 4 5 6 7 7 8 9 9 9 9 8 8 8 9 9 9 8 8 9 10 10 9 9 8 7 7 7 7 7 7 7 8 8 7 6 5 5 6 7 7 7 5 3 -0 -1 2 6 9 9 8 7 8 8 9 10 11 12 12 11 10 9 9 8 nan
nan 6 5 4 4 5 6 8 10 10 8 5 4 4 6 8 10 11 12 11 10 9 9 9 8 8 8 8 7 6 6 4 3 3 4 6 7 7 8 9 10 10 9 8 6 5 5 5 5 6 6 6 7 7 7 7 7 8 8 9 8 6 5 4 5 6 7 8 8 8 6 5 4 5 6 8 9 8 7 7 7 9 10 10 10 9 9 8 8 8 8 8 7 6 6 7 7 8 8 8 7 8 8 8 8 7 5 4 4 5 6 6 5 4 4 8 13 17 17 15 12 11 9 8 9 9 10 10 11 11 10 10 9 8 nan
nan 6 5 4 4 5 7 8 9 9 8 6 4 4 5 7 9 11 12 12 11 10 10 10 10 9 9 8 7 6 6 5 3 2 3 5 5 5 6 7 8 9 9 8 6 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 5 7 8 10 11 11 11 10 9 8 7 8 8 8 6 4 5 8 10 12 11 9 9 8 7 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 5 4 5 5 5 6 7 10 16 20 21 19 18 16 14 11 8 7 7 8 9 9 10 10 9 9 9 nan
nan 7 5 5 5 6 6 7 8 8 8 6 4 4 5 7 8 10 11 12 11 10 9 9 10 11 10 9 7 7 8 7 4 2 2 4 5 5 5 6 7 9 10 9 7 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 3 4 6 8 10 10 10 10 11 11 12 11 11 10 9 8 7 5 5 6 9 10 10 8 7 7 6 5 6 7 9 10 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 7 6 4 5 6 7 8 11 15 16 16 15 16 17 15 12 8 5 5 6 7 7 8 9 10 10 9 nan
nan 7 6 6 6 6 6 6 7 6 6 6 5 5 6 7 8 9 10 11 11 9 8 8 9 10 10 10 9 9 11 10 7 3 2 3 4 6 6 7 7 8 10 11 10 8 7 7 6 4 3 3 3 4 3 3 3 3 3 3 3 5 7 10 10 10 9 8 9 10 11 11 11 10 8 7 6 6 7 9 9 7 5 3 4 4 4 5 7 8 9 10 11 11 12 11 11 10 10 9 9 8 9 8 9 8 9 8 7 6 6 7 8 8 8 8 8 9 10 11 12 12 10 6 3 3 3 4 5 7 9 10 11 10 nan
nan 8 8 7 7 7 6 6 6 5 4 5 6 6 7 7 8 9 10 11 11 10 8 7 7 8 9 9 9 10 12 13 11 7 3 2 4 5 6 7 7 8 10 12 12 11 11 10 9 6 4 5 5 5 4 3 3 3 2 2 4 6 8 9 9 8 7 7 8 9 10 10 11 10 8 6 5 7 9 10 8 5 3 3 3 2 2 4 6 6 6 7 8 10 11 12 13 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 9 8 6 5 4 4 4 3 3 3 3 1 0 0 1 2 4 7 9 11 11 11 nan
nan 8 8 8 7 7 6 6 6 4 2 2 4 6 8 7 7 8 9 10 10 11 10 9 8 7 8 8 8 9 11 13 13 11 8 6 5 5 5 5 5 6 8 10 10 11 12 12 12 9 7 7 7 6 5 4 3 3 2 3 4 6 8 8 7 7 7 8 9 9 9 10 11 11 9 7 7 8 10 10 9 8 8 7 6 5 5 5 4 4 4 5 7 8 10 12 13 12 11 11 11 11 10 9 9 9 9 9 10 11 10 9 9 9 8 6 4 0 -3 -6 -7 -8 -9 -6 -2 -0 1 2 4 6 9 10 11 12 nan
nan 8 8 8 8 7 7 6 6 5 2 1 2 5 7 8 8 8 8 8 8 10 11 12 10 9 8 8 7 6 8 10 11 12 12 10 7 6 5 5 5 6 7 8 8 9 11 12 12 10 8 7 7 6 5 4 3 2 2 1 2 4 5 5 6 6 7 8 9 9 9 10 11 11 11 10 10 10 11 11 12 12 13 12 11 11 11 9 7 5 5 5 5 7 9 10 10 10 11 11 11 11 11 11 10 9 9 9 11 12 11 9 8 8 9 8 4 -0 -4 -8 -9 -10 -9 -4 -0 2 2 3 4 6 8 10 11 12 nan
nan 8 8 8 8 7 7 7 7 6 4 2 2 3 6 9 9 9 8 7 6 8 11 12 11 9 8 7 6 6 6 7 8 10 12 10 7 6 7 7 7 7 7 7 7 8 9 10 11 11 10 9 8 7 5 4 3 3 2 1 -1 -1 0 2 4 5 6 7 7 8 8 9 10 10 10 11 12 12 12 12 13 13 14 15 14 14 13 12 11 10 8 6 5 5 7 7 8 9 10 11 11 12 13 12 11 10 9 10 10 10 8 7 6 6 6 5 4 4 4 4 3 1 2 4 4 4 4 3 4 5 7 9 11 11 nan
nan 8 8 8 8 8 7 7 7 7 6 5 3 3 6 9 11 11 9 6 4 5 8 9 9 9 8 7 7 7 6 6 7 9 12 10 6 5 6 8 8 8 7 7 7 6 7 8 10 11 11 11 10 10 9 9 8 7 6 5 2 -0 -0 1 3 4 5 6 6 6 6 7 8 8 8 10 12 13 13 12 12 12 13 13 13 13 12 12 13 13 12 9 6 5 5 5 7 9 10 11 11 12 12 12 12 11 11 10 8 6 5 5 6 5 4 4 6 9 13 16 15 13 10 8 7 6 4 4 4 5 6 9 10 11 nan
nan 8 8 8 8 8 8 7 7 7 7 5 4 3 5 9 11 12 10 7 5 5 5 6 7 8 8 8 8 8 7 6 6 8 11 11 8 6 6 6 7 8 8 7 7 6 6 6 7 8 9 9 10 10 11 12 13 12 12 11 9 7 5 4 4 5 6 6 5 5 5 6 7 8 8 10 11 12 12 11 10 10 11 11 11 11 11 13 14 14 13 12 10 9 8 7 8 9 10 10 9 9 10 11 11 12 11 9 7 5 5 7 9 9 8 9 10 11 13 16 15 13 10 8 6 5 4 4 4 4 6 8 9 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
28 27 27 28 27 26 25 25 25 26 27 28 31 35 40 44 46 46 44 41 38 36 35 36 36 36 38 41 42 41 41 41 38 38 39 39 40 42 44 43 43 48 48 39 39 37 38 39 37 33 28 24 21 18 12 5 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 15 38 50 51 55 67 84 95 93 86 75 63 56 54 54 55 58 62 67 69 74 85 91 96 99 99 96 94 95 98 99 99 96 94 92 90 88 87 87 85 80 72 69 65 63 60 55 51 49 47 46 45 46
29 29 29 29 28 28 28 29 29 31 33 37 39 42 43 43 40 38 34 31 29 30 32 33 33 35 37 38 41 39 39 37 36 35 34 36 38 39 38 36 34 37 36 34 36 36 34 32 29 27 27 24 20 17 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 3 22 44 51 51 53 61 75 89 92 86 74 63 58 56 54 55 59 63 72 75 79 86 98 110 115 114 109 107 109 110 113 115 114 112 111 108 105 103 102 100 93 85 79 74 70 66 61 56 52 48 45 43 43
31 31 32 33 32 31 33 35 35 36 39 42 41 39 36 32 29 30 30 31 32 34 34 33 33 33 34 34 39 39 38 35 34 33 33 35 37 40 38 36 31 30 30 30 31 30 28 26 25 25 25 20 18 14 10 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 8 28 46 53 57 55 59 68 78 83 79 69 62 61 57 53 54 59 65 73 79 84 94 109 122 130 134 134 129 130 130 132 132 131 130 130 129 127 122 119 117 110 102 93 86 80 73 69 64 58 52 48 44 43
33 33 34 36 35 33 35 36 35 34 35 35 32 30 28 27 27 28 30 32 34 34 33 32 31 31 30 32 36 36 34 32 30 28 27 28 29 30 30 32 28 28 27 26 26 26 25 26 27 25 21 19 17 13 9 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 1 9 28 43 47 53 56 58 63 72 77 75 69 65 60 57 56 57 63 70 77 85 94 106 119 130 138 147 148 142 140 139 139 138 137 137 137 138 136 133 136 136 130 122 111 102 94 87 80 74 67 60 54 49 46
29 32 34 33 31 29 28 27 26 26 26 25 24 24 25 26 27 28 31 34 36 34 31 32 33 32 31 31 31 30 28 26 25 23 22 21 19 18 21 23 24 26 28 27 27 27 26 25 23 20 18 17 14 11 8 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 3 14 36 41 47 52 56 58 63 70 76 75 71 68 62 58 58 60 71 81 89 97 104 112 122 132 139 146 149 147 143 139 136 134 133 135 134 136 137 141 142 143 141 135 127 119 110 102 95 89 80 72 64 57 52
23 24 27 27 25 23 21 21 21 21 21 22 22 24 25 28 31 31 31 32 32 31 32 33 33 32 30 28 26 25 26 25 23 21 18 16 15 18 20 22 22 24 26 26 27 26 23 20 16 16 17 14 11 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 26 42 44 49 55 60 64 68 74 80 77 74 69 64 61 61 67 81 95 103 108 112 118 127 137 142 146 149 149 144 138 133 126 124 127 128 129 133 138 137 135 134 132 133 135 131 120 112 105 97 88 78 69 61
21 21 22 23 23 22 21 22 22 22 22 22 23 24 25 28 27 28 29 30 31 31 31 31 31 30 26 23 23 25 25 24 21 19 18 18 17 18 18 18 18 20 21 22 21 20 19 17 17 16 14 12 10 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 36 43 49 53 56 61 68 74 81 87 84 78 71 67 65 70 78 92 106 115 121 125 126 137 145 149 150 149 146 142 139 135 127 122 120 121 122 126 131 133 132 131 133 134 140 141 138 131 122 113 104 95 87 78
24 21 21 22 22 23 23 24 24 24 24 25 25 23 22 24 24 24 26 27 27 26 25 25 25 23 21 22 23 24 23 20 18 17 16 15 16 17 16 15 15 16 17 16 16 16 16 15 15 14 11 9 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 0 4 23 39 44 52 57 59 63 70 78 85 92 92 85 77 73 75 83 95 107 115 121 130 141 142 146 149 151 150 147 141 137 136 135 130 125 121 120 119 120 123 127 129 130 134 133 137 141 145 147 143 135 124 114 105 98
24 25 23 23 24 24 24 23 23 23 23 23 20 21 21 22 24 25 25 24 24 23 23 21 20 20 21 23 23 22 20 18 17 16 16 13 13 14 14 15 14 15 15 14 14 14 14 14 14 12 11 8 6 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 8 29 40 47 54 58 61 66 73 80 86 93 96 91 84 81 85 96 109 116 119 125 135 143 144 142 142 143 142 142 138 136 137 136 130 127 122 117 114 114 114 115 118 123 126 126 130 136 142 150 157 158 150 139 125 116
22 22 24 25 26 25 24 22 22 21 21 22 20 21 22 23 24 24 22 21 20 19 19 19 20 21 22 22 21 20 17 17 15 14 12 11 11 12 12 13 14 15 15 14 14 14 14 13 12 10 9 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 1 12 32 43 50 58 63 67 71 78 83 88 93 96 94 90 89 95 106 115 118 124 131 138 141 138 136 137 135 134 136 137 134 140 138 133 128 122 115 110 108 107 105 108 112 115 117 121 129 137 147 158 168 168 161 149 136
20 21 22 24 25 25 24 23 22 22 23 23 22 21 21 20 19 19 20 21 21 21 21 21 21 21 21 21 19 17 16 17 15 12 10 8 9 10 11 12 12 14 15 14 14 14 13 13 10 9 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 0 0 1 15 34 45 53 60 67 73 77 81 87 92 95 96 96 94 93 97 109 115 121 129 133 136 133 129 132 137 135 129 129 130 132 139 140 136 131 125 117 110 105 103 102 103 106 109 111 114 120 130 141 153 163 169 169 164 156
19 21 21 23 24 23 22 21 21 24 23 21 19 19 19 19 20 22 22 22 21 21 21 20 20 19 20 19 17 15 15 17 14 11 10 10 9 9 10 10 10 12 13 13 13 13 12 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 0 1 16 35 48 55 61 71 80 83 87 90 93 95 96 95 92 91 94 105 115 125 131 132 131 128 127 132 137 134 124 124 126 130 137 142 140 135 129 121 115 110 107 107 108 109 110 112 113 115 123 133 144 153 160 164 166 165
16 18 19 21 22 21 21 21 22 22 22 20 19 18 18 18 17 18 18 18 18 18 17 18 18 18 18 17 15 14 15 15 11 10 9 8 7 8 9 9 9 10 11 11 11 11 10 9 7 6 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 1 7 22 38 49 58 64 78 87 90 93 92 92 93 95 93 89 87 91 103 114 122 127 128 127 127 131 136 136 131 125 125 128 133 140 145 144 137 132 125 121 118 116 116 117 119 118 117 113 112 118 127 136 143 148 152 155 159
11 14 16 17 18 19 20 20 20 19 20 18 17 16 16 15 14 14 15 16 16 15 15 17 17 17 16 14 14 14 13 10 9 9 7 5 5 6 7 7 8 9 10 8 8 8 8 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 0 3 15 29 40 47 58 65 80 89 92 92 90 90 92 94 92 89 85 86 98 107 113 118 122 125 130 138 138 135 129 127 126 127 131 137 143 144 138 132 128 124 123 123 125 127 128 128 126 122 123 124 127 131 134 136 137 140 146
5 8 11 14 17 17 17 18 18 17 18 17 16 15 15 14 14 14 15 15 15 15 16 16 15 15 14 13 13 13 11 9 8 7 6 5 5 5 5 5 6 7 7 7 6 7 7 6 5 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 3 15 30 38 43 53 63 74 85 91 90 89 89 89 91 91 87 79 82 90 98 105 111 117 124 134 141 137 133 129 127 126 126 129 134 140 140 135 132 131 129 128 128 129 132 133 133 133 130 130 130 129 128 129 129 127 128 132
2 2 4 9 13 15 16 16 16 15 15 15 14 13 12 12 11 12 12 12 13 12 12 12 13 13 12 12 12 9 8 8 6 5 4 3 2 2 3 3 3 4 4 5 5 5 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 1 6 18 30 37 43 51 60 66 80 88 90 90 89 88 88 89 81 77 82 88 92 96 101 110 118 126 128 129 130 130 130 130 131 137 141 140 140 136 135 134 132 131 130 132 134 132 131 132 132 133 133 130 129 130 129 125 122 122
0 0 0 3 8 12 14 14 14 13 13 12 10 10 10 10 10 9 9 11 11 10 10 11 11 12 11 10 9 7 6 5 4 3 2 1 0 1 1 1 1 2 2 3 3 3 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 2 9 20 28 35 45 49 56 65 75 84 88 90 90 88 86 84 79 79 84 87 87 88 91 99 108 117 124 127 130 132 134 135 137 142 143 142 142 139 137 136 135 134 133 131 131 130 129 130 133 135 134 134 135 134 130 125 122 121
0 0 0 1 4 8 11 11 12 11 11 10 9 9 8 9 9 10 10 10 10 9 9 10 10 10 9 7 7 5 5 4 3 2 1 0 0 0 0 0 1 0 1 1 1 2 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 3 10 19 25 28 42 49 51 57 68 76 82 85 88 85 83 81 78 76 75 74 77 81 84 89 97 108 116 121 127 131 134 135 138 141 142 141 142 141 138 137 136 133 135 134 134 135 135 136 139 142 141 141 141 138 131 126 124 124
0 0 1 2 3 5 7 8 9 9 10 10 9 8 7 8 8 9 9 8 8 8 8 8 8 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 21 26 35 43 48 49 53 64 75 75 79 78 77 76 75 72 67 64 67 70 76 82 89 97 106 114 122 127 130 132 134 135 137 140 145 145 141 137 134 133 133 135 138 141 143 143 145 147 149 147 143 138 133 128 127 127
0 1 1 2 3 3 3 4 6 7 7 6 5 4 5 5 6 7 7 6 6 6 6 6 6 6 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 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 15 18 25 30 35 41 45 44 51 64 66 70 70 70 73 74 70 65 61 60 61 65 72 80 87 93 103 114 122 128 132 134 136 141 148 152 149 142 136 133 133 134 137 142 146 148 147 146 148 150 150 149 144 138 133 131 132
0 1 1 1 2 2 2 3 4 5 5 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 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 3 5 12 14 18 23 29 34 39 50 49 52 57 62 63 64 66 68 69 67 61 57 56 58 63 70 78 85 94 104 115 123 130 134 139 146 153 157 154 144 138 133 132 132 138 147 151 152 151 150 153 159 162 159 153 144 137 134 136
0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 1 2 3 3 3 3 3 3 2 3 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 0 0 0 0 0 2 5 10 11 12 16 21 28 29 35 42 48 49 50 56 60 60 63 66 66 61 56 54 54 57 61 68 76 84 92 105 116 124 130 137 147 156 161 158 150 142 135 132 133 138 146 151 152 152 155 164 174 175 169 158 148 140 138 138
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 20 22 26 33 35 35 36 37 38 41 46 53 57 59 58 57 59 60 60 64 72 88 112 136 169 201 217 217 211 201 208 206 197 187 169 150 137 133 135 146 164 177 178 172 164 160 163 167 168 167
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 16 20 27 33 35 37 41 43 44 45 48 53 57 56 59 58 55 56 58 60 61 71 88 109 136 170 204 220 214 226 230 227 222 218 212 203 184 163 152 148 150 159 172 182 186 187 186 183 188 189 188
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