Vorticity
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nan 6 7 7 8 10 11 9 6 4 5 6 6 6 7 7 6 6 7 7 6 6 7 7 6 6 6 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 10 10 10 10 10 11 11 10 8 7 7 7 8 8 8 8 8 8 7 7 5 4 4 3 3 4 4 4 5 6 6 5 5 5 6 5 4 3 3 3 3 3 3 3 3 4 4 5 7 7 8 8 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 nan
nan 6 6 7 8 10 11 9 6 4 5 6 6 7 7 7 6 7 7 7 7 6 7 7 7 7 6 7 7 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 8 8 8 9 9 8 8 9 10 10 9 8 8 8 8 8 8 9 10 10 10 9 7 6 5 5 5 5 4 3 3 4 5 5 5 7 8 8 7 6 5 6 7 7 6 5 3 2 2 3 4 5 6 7 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 nan
nan 7 7 8 8 9 10 8 6 4 5 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 7 7 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 8 8 9 9 9 9 8 7 6 6 6 6 6 6 5 5 5 5 4 4 6 8 8 8 9 11 12 13 12 9 6 3 2 2 2 3 4 5 6 7 7 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 8 nan
nan 8 8 8 8 9 9 7 5 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 6 7 8 7 7 6 6 6 6 6 6 6 6 7 8 8 8 7 6 6 6 6 7 8 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 11 11 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 5 3 3 4 5 6 8 11 15 17 17 14 11 6 3 2 2 2 2 3 4 5 6 7 7 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 7 7 7 8 nan
nan 9 9 9 8 8 9 6 4 4 6 7 7 7 7 7 7 7 8 7 7 6 5 5 6 5 5 4 3 4 5 6 7 7 6 5 6 6 7 6 6 6 7 8 9 9 8 8 7 6 6 6 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 6 6 6 6 6 7 7 7 7 7 7 8 9 7 4 4 3 3 3 4 7 11 13 15 15 13 9 5 3 3 2 2 2 3 3 4 5 6 7 7 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 nan
nan 8 9 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 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 11 9 8 8 7 7 7 7 8 8 8 8 8 9 8 6 5 5 5 5 4 5 7 9 10 9 9 8 6 6 6 6 4 3 3 3 3 4 4 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 8 9 10 10 9 8 5 3 4 5 7 7 7 7 7 7 6 6 8 9 9 7 5 5 5 5 5 5 4 3 3 4 6 7 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 10 9 8 7 6 6 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 8 6 5 5 6 6 6 6 7 7 7 6 6 6 7 9 10 9 7 5 4 3 3 4 4 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 8 10 11 10 8 7 5 4 4 5 7 7 7 7 7 6 6 6 7 9 10 9 8 7 7 7 7 8 8 7 5 5 5 7 8 9 9 9 9 9 9 8 7 7 7 7 8 9 10 11 12 11 11 9 8 8 8 7 7 6 6 6 6 7 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 8 6 6 6 6 6 6 6 6 7 7 6 5 6 8 11 12 11 9 7 6 5 5 4 5 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 nan
nan 9 11 12 10 8 7 6 5 4 5 7 8 7 7 7 7 6 5 6 7 8 9 9 8 8 8 8 9 10 10 8 6 5 4 6 8 8 9 9 9 8 7 6 6 6 7 8 9 10 10 10 10 10 11 12 13 13 12 10 8 7 7 7 8 8 9 9 10 9 9 8 7 6 6 6 6 7 7 8 8 9 10 11 11 11 9 7 6 6 6 7 7 7 7 7 7 7 7 6 6 7 8 9 9 10 10 10 10 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 8 10 11 10 8 8 8 6 4 5 8 8 8 7 8 8 7 6 6 6 6 7 8 8 7 7 7 7 9 11 11 9 6 5 5 7 8 8 9 10 9 7 6 6 6 7 8 9 9 9 9 9 10 12 14 16 16 15 13 12 10 9 8 6 6 7 8 9 9 8 7 6 6 6 6 6 6 6 6 7 8 10 11 12 11 8 6 5 6 7 7 7 7 8 9 9 9 7 6 5 5 5 6 7 8 10 11 11 10 10 9 10 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 nan
nan 7 8 9 9 8 9 9 7 5 5 8 9 8 8 9 9 9 8 7 6 5 6 6 6 6 6 5 5 7 10 11 11 9 7 7 7 8 8 9 9 9 7 6 5 6 7 7 7 8 8 9 9 11 12 14 15 15 15 14 14 13 11 9 7 6 6 8 8 8 7 6 5 5 5 6 7 6 5 4 5 6 8 10 10 9 8 7 7 7 8 8 8 8 9 11 11 9 5 4 3 3 4 4 4 5 7 8 10 11 12 14 16 17 17 15 12 8 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 nan
nan 5 5 6 7 8 10 10 8 5 5 7 9 9 9 9 10 9 8 8 7 6 6 6 6 5 5 5 4 6 8 10 11 10 9 8 8 8 8 8 8 7 6 5 5 5 6 6 6 7 8 9 10 12 13 14 14 14 14 14 14 14 13 12 10 8 7 7 8 7 6 5 5 5 6 6 7 7 5 4 5 6 7 8 8 8 9 9 10 10 9 8 8 9 10 10 9 6 4 3 3 3 3 3 2 3 4 6 8 10 13 15 17 18 17 14 9 4 3 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 nan
nan 4 3 4 6 9 10 10 8 6 4 6 8 10 10 9 9 8 8 7 7 7 7 7 6 6 5 4 4 4 6 7 8 9 9 9 9 9 9 9 8 7 5 4 4 4 5 6 6 7 8 9 11 12 13 14 13 13 13 14 14 15 15 15 13 11 8 7 6 6 6 5 6 6 7 8 8 7 6 6 7 7 8 8 7 8 9 11 12 12 11 10 10 9 9 8 6 4 4 4 4 4 4 3 3 4 6 7 7 8 10 11 12 12 9 4 -0 -1 0 2 4 5 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 3 2 3 6 8 10 10 9 7 4 4 7 9 10 10 9 8 8 7 7 7 7 7 7 7 5 4 3 3 4 5 6 7 8 8 9 9 9 9 9 8 6 4 4 4 5 6 6 7 8 8 9 10 11 11 12 12 13 15 15 15 16 16 15 12 8 5 4 4 5 6 7 7 8 8 7 6 7 7 7 8 7 7 7 8 10 11 12 12 12 12 11 11 9 7 5 5 6 6 6 6 5 4 5 6 7 7 7 7 7 7 7 5 2 -4 -7 -4 0 3 5 7 8 8 9 9 9 8 8 7 7 7 8 8 nan
nan 4 3 3 5 7 8 10 11 9 6 3 5 8 10 11 11 10 9 8 8 7 7 8 8 8 7 5 4 3 3 3 5 6 6 8 9 9 9 10 10 10 8 5 4 5 5 5 6 7 7 7 8 8 9 9 10 12 14 15 15 15 15 14 13 11 7 4 2 3 4 5 7 8 8 7 6 7 8 8 8 7 7 7 8 9 9 9 10 10 11 12 12 11 10 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 3 -2 -5 -4 0 4 7 8 9 9 9 9 9 9 9 8 7 7 7 7 8 nan
nan 5 4 3 4 5 7 9 11 11 7 4 4 5 8 9 11 11 11 10 9 8 8 8 8 8 8 7 6 5 4 3 3 4 5 7 7 8 9 10 11 11 9 7 6 5 5 5 6 6 7 7 7 7 8 8 9 10 12 13 12 11 10 9 8 7 6 5 4 4 4 4 5 6 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 6 5 4 5 6 6 6 4 2 -2 -2 3 8 11 12 11 10 10 10 10 9 9 9 8 7 6 6 7 7 nan
nan 6 5 4 4 5 6 9 10 10 8 5 3 4 6 8 10 11 12 11 10 9 9 9 9 8 8 8 7 6 6 4 3 3 4 5 6 7 8 9 10 11 10 9 7 5 5 5 5 5 6 6 7 7 7 7 7 8 9 9 8 7 5 5 5 6 8 9 9 8 7 6 5 5 6 8 9 8 7 7 7 8 10 10 10 9 9 9 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 6 4 3 4 5 6 5 4 3 3 8 14 18 18 17 15 13 11 10 9 9 9 8 7 6 6 6 6 6 nan
nan 6 5 4 4 5 6 8 9 9 8 6 4 3 5 7 9 11 12 12 11 11 10 10 10 10 9 8 7 7 7 6 3 2 3 5 6 6 7 8 9 10 10 9 7 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 5 7 8 10 12 12 12 11 9 8 7 7 8 8 6 5 5 7 10 11 10 9 9 8 7 6 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 6 4 4 4 4 5 5 6 10 16 20 21 19 18 17 15 13 10 8 8 8 8 7 6 5 5 6 6 nan
nan 7 5 4 5 6 6 7 8 8 8 6 4 3 5 7 8 10 11 12 11 10 9 10 10 11 10 9 7 7 8 7 4 3 3 4 5 6 6 6 8 10 11 10 7 5 4 5 5 5 4 4 4 5 5 5 5 5 5 4 3 3 5 7 9 10 11 11 11 12 12 11 11 10 9 8 7 6 5 6 8 10 9 8 7 7 6 5 6 7 9 10 11 12 11 11 10 9 9 9 9 9 9 8 8 8 7 6 5 4 4 5 6 8 11 14 16 15 15 16 17 15 12 9 7 7 7 6 6 5 5 5 6 6 nan
nan 7 6 6 6 6 6 6 7 6 7 6 5 5 6 7 8 8 10 11 11 10 8 8 9 10 10 10 9 10 11 11 7 3 2 3 5 6 7 7 7 9 11 12 10 8 7 6 6 4 3 3 4 4 3 3 3 3 3 3 3 4 7 9 10 10 10 9 9 10 11 11 11 10 8 7 7 7 7 8 8 7 5 4 4 4 4 5 7 8 9 10 11 12 12 12 12 11 10 9 9 9 9 8 8 8 8 7 6 5 6 7 7 8 8 8 8 8 10 11 12 11 10 6 4 4 5 5 5 5 5 6 6 7 nan
nan 8 7 7 7 7 6 6 6 5 4 5 6 6 7 7 8 8 10 11 11 10 9 7 7 8 9 9 9 11 13 14 11 7 3 2 4 5 7 7 7 8 10 12 12 11 10 9 8 6 4 5 5 5 4 3 3 3 2 3 4 6 8 9 9 8 8 8 9 10 10 11 11 10 8 7 6 7 8 9 7 5 3 3 3 2 3 4 6 7 7 8 9 10 11 13 14 13 12 10 10 10 9 9 8 8 8 8 7 7 8 8 8 8 6 5 4 4 4 3 3 3 1 0 1 2 3 5 5 6 6 6 7 7 nan
nan 8 8 7 7 7 6 6 6 4 2 3 5 7 8 8 7 8 9 10 10 10 10 9 8 8 8 8 8 9 11 14 13 11 8 6 5 5 5 5 5 6 8 9 10 11 12 12 11 9 6 6 6 6 5 4 3 3 2 3 4 6 7 8 7 7 7 8 9 10 10 11 11 11 9 8 7 8 9 9 8 7 7 7 6 5 5 5 5 4 5 6 7 9 11 12 13 13 12 11 11 11 10 9 9 9 8 8 9 10 10 9 9 8 7 6 4 0 -3 -6 -7 -8 -9 -6 -1 2 4 6 7 7 7 7 7 7 nan
nan 7 8 8 7 7 6 6 6 5 3 2 3 5 8 9 8 8 8 8 8 9 11 11 10 8 8 8 7 7 8 10 12 12 12 10 7 6 5 5 5 6 7 8 8 9 11 12 12 10 8 7 6 6 5 4 3 2 2 1 2 3 5 5 6 6 7 8 9 9 9 10 11 11 11 10 10 9 10 10 10 11 11 11 10 10 10 9 7 6 6 6 6 8 10 11 11 11 11 11 11 12 12 11 10 9 9 9 11 11 10 9 7 7 8 7 4 -0 -4 -7 -8 -10 -9 -3 1 4 6 7 8 8 8 7 7 7 nan
nan 8 8 8 7 7 6 6 6 6 4 3 2 4 7 9 10 9 8 6 5 7 10 12 11 9 8 8 7 7 7 8 9 10 12 11 7 6 7 8 7 6 7 7 7 8 9 11 12 11 10 9 8 7 5 4 4 3 2 1 -0 -0 1 2 4 5 6 7 8 8 8 9 9 10 11 11 11 11 11 11 11 12 13 13 13 12 12 11 10 10 9 7 6 6 8 8 8 9 10 11 11 12 13 13 11 10 9 10 10 9 8 6 5 5 5 5 4 4 4 5 4 2 3 5 5 6 7 7 8 8 8 7 7 7 nan
nan 8 8 8 8 7 7 7 7 7 6 5 3 3 6 9 11 11 9 6 4 5 8 9 10 9 9 8 8 8 7 7 8 10 12 11 7 5 6 8 8 8 7 7 6 6 7 8 10 11 11 11 11 10 10 9 8 7 6 5 2 0 0 1 3 5 6 6 6 6 6 7 8 9 9 10 12 12 12 11 10 11 11 12 12 12 11 11 13 13 12 9 7 5 6 6 7 9 10 11 11 12 12 12 12 11 11 10 8 6 5 5 5 5 4 4 5 8 12 15 15 13 10 8 6 6 6 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 7 7 7 7 5 4 3 6 9 11 12 10 7 4 4 5 6 7 8 9 9 9 9 8 7 7 9 12 12 9 7 6 6 7 8 7 7 6 6 6 7 8 9 9 10 11 11 11 12 13 12 12 11 10 7 5 4 4 5 6 6 5 5 5 6 7 8 9 10 11 11 11 10 9 9 10 10 10 10 11 12 13 13 13 11 10 9 8 8 8 9 10 10 10 10 10 11 11 12 11 9 7 5 5 7 9 9 8 8 9 10 13 15 15 12 9 6 5 5 5 5 6 6 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
40 40 40 41 42 44 46 49 50 52 53 54 55 54 50 44 37 31 30 30 31 37 42 42 36 31 30 30 31 30 30 31 32 32 32 31 30 30 29 29 31 30 27 28 27 24 21 19 18 16 14 11 8 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 0 0 2 16 35 46 53 59 59 56 60 62 68 72 79 84 90 99 101 91 92 95 98 100 101 107 115 121 125 126 126 130 131 128 124 122 122 124 125 124 122 118 116 113 108 99 87 78 75 73 70 67 62 57 53 50
39 39 40 42 43 45 48 49 51 52 54 56 56 55 52 46 39 32 31 31 33 38 41 39 31 26 27 29 30 31 32 33 31 29 27 27 28 29 30 31 28 26 27 26 23 21 20 18 15 13 12 8 7 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 6 23 39 43 49 58 61 55 57 57 60 62 68 75 84 96 103 90 91 92 95 99 102 110 120 127 128 130 130 132 127 127 124 124 125 126 128 129 130 129 135 136 128 115 99 87 83 81 77 74 70 66 62 56
39 40 41 42 44 46 48 51 52 53 56 58 59 57 54 49 43 36 32 32 34 38 41 36 29 25 27 29 29 32 32 30 28 26 25 26 28 29 29 26 23 24 25 23 21 20 19 15 12 12 10 7 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 9 28 43 45 45 54 64 60 58 56 55 56 60 64 69 78 88 92 94 92 94 100 108 116 123 130 134 134 135 137 131 128 128 129 130 129 129 129 134 136 145 148 142 129 112 98 94 91 87 84 81 74 69 65
41 42 43 43 44 46 48 50 52 53 55 58 59 58 55 51 45 37 33 33 36 40 41 35 27 26 28 30 30 31 29 28 27 26 26 26 28 30 27 23 22 24 24 22 21 19 17 14 11 10 8 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 0 0 0 0 1 9 27 42 45 41 47 59 64 62 60 57 55 54 57 64 66 72 83 91 94 97 101 105 110 118 125 131 134 136 141 139 135 132 132 131 129 128 130 135 140 143 142 139 131 118 105 98 97 96 94 90 85 82 77
41 42 42 42 43 45 45 47 48 51 53 55 56 56 54 50 44 38 35 36 39 43 42 34 27 27 29 30 31 29 28 27 26 25 27 28 28 25 22 21 23 24 23 21 19 18 16 12 10 8 7 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 0 0 3 13 32 39 43 45 48 54 60 63 64 62 58 56 56 60 59 60 66 79 93 101 103 106 107 109 113 121 127 132 136 137 136 135 134 133 129 129 131 136 142 141 138 134 128 117 105 98 99 99 98 96 95 93 90
42 43 43 42 43 43 43 43 45 47 50 51 52 53 52 49 44 39 38 42 46 47 43 35 29 27 30 32 31 27 26 25 25 25 27 26 22 20 20 22 23 24 22 18 17 17 14 11 9 6 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 1 6 23 34 37 42 46 51 54 56 60 62 62 61 60 58 56 56 56 57 66 80 92 101 107 108 107 106 111 116 122 127 132 136 136 137 137 133 132 132 137 139 137 135 133 127 118 107 97 96 97 98 98 98 99 97
42 43 42 43 44 44 42 42 43 45 47 49 50 51 50 49 44 43 45 48 50 47 41 35 29 28 31 33 30 26 25 26 26 25 24 21 19 18 19 21 23 23 20 17 16 15 12 10 8 6 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 1 11 31 35 40 42 46 54 58 57 58 59 60 60 58 57 56 56 56 56 62 71 79 85 96 105 105 106 108 109 109 113 120 126 130 133 133 134 136 137 139 138 135 131 127 124 120 114 106 101 99 98 97 96 97 96
42 42 44 45 45 43 43 43 44 44 46 47 48 51 50 50 51 51 50 50 48 44 39 34 29 30 33 32 28 25 25 26 24 22 21 20 18 18 19 21 23 21 17 15 14 14 10 9 5 4 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 3 18 32 39 43 45 51 57 60 60 60 61 60 61 59 56 54 55 55 56 61 71 76 76 82 91 99 104 108 109 106 106 109 112 117 123 127 132 138 141 140 137 134 129 122 118 119 117 114 111 108 105 102 98 95 94
43 44 46 47 46 44 44 44 45 45 45 46 46 48 48 49 48 48 48 47 46 43 39 32 29 32 34 30 25 25 25 24 21 20 19 20 18 20 21 22 22 19 15 14 14 13 9 7 5 4 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 0 0 0 6 23 33 40 45 48 52 57 61 63 63 64 61 61 58 55 55 55 55 56 61 71 77 77 79 82 87 95 103 108 108 108 106 106 109 116 124 132 138 141 140 140 139 130 124 120 120 118 115 114 115 113 111 107 100 97
44 46 47 47 46 46 45 45 46 46 46 47 47 47 47 48 48 48 48 47 45 42 38 31 31 34 32 27 24 25 25 22 19 20 22 23 22 22 22 21 19 16 14 13 13 11 8 7 5 4 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 1 10 24 33 38 44 51 57 62 65 68 71 71 68 65 61 58 57 57 56 57 64 70 72 73 76 78 82 87 92 99 106 110 110 109 111 117 126 134 139 139 139 142 142 134 128 127 129 126 118 116 117 116 116 114 109 105
47 47 48 47 47 46 46 46 47 47 48 47 47 47 47 48 48 47 47 45 43 40 36 33 33 32 28 24 23 24 23 22 21 21 20 20 21 21 21 19 17 14 13 13 12 10 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 0 0 0 1 12 24 33 38 45 53 60 63 67 74 78 78 77 74 70 67 65 63 60 62 68 71 72 73 76 79 80 82 84 88 96 105 111 112 113 119 128 130 131 136 139 141 140 134 130 131 136 136 129 124 121 117 117 116 115 113
44 47 48 48 46 45 45 45 46 46 47 47 48 48 48 49 48 47 45 43 40 37 34 35 34 29 24 23 23 22 21 21 19 18 15 16 17 18 17 16 14 13 12 12 11 9 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 0 0 0 0 0 0 12 25 33 39 48 58 63 60 70 78 82 83 83 80 76 73 72 70 68 70 74 75 76 78 81 81 81 82 82 83 89 94 102 110 116 124 128 125 125 130 134 136 137 133 130 134 139 141 138 134 129 122 118 117 118 118
36 41 44 45 45 43 42 42 43 44 46 46 49 49 49 49 48 45 43 40 37 34 34 35 32 26 23 23 21 19 18 16 16 15 13 12 14 14 14 13 12 12 12 11 10 7 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 0 0 1 4 16 27 34 39 45 56 62 62 68 77 84 87 87 84 80 78 78 75 74 76 79 80 80 81 82 83 84 84 83 83 86 91 96 101 112 123 125 124 125 126 127 130 134 133 132 136 140 143 145 143 138 132 128 127 127 126
26 32 36 39 41 41 39 39 39 40 42 44 46 46 47 46 45 44 41 39 35 34 37 34 28 24 23 21 18 16 14 13 13 12 11 10 10 11 12 11 10 11 10 9 8 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 0 0 0 0 2 10 21 29 34 41 48 55 60 63 67 76 83 87 87 86 82 78 76 76 77 79 81 82 83 84 85 86 89 89 88 87 86 88 93 100 108 113 118 119 122 124 122 123 128 130 131 136 138 140 144 143 140 140 142 142 140 136
21 25 27 31 34 35 34 33 33 35 38 40 41 42 43 42 42 42 40 38 36 35 33 29 25 23 21 18 15 13 11 10 10 8 7 7 8 9 8 8 8 8 8 7 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 0 0 0 0 0 0 3 12 23 29 34 41 51 59 61 63 69 76 82 85 87 86 83 79 78 77 77 79 80 82 84 87 86 88 91 94 94 93 92 92 94 102 106 110 112 113 117 120 120 118 121 124 126 132 137 139 139 138 137 142 149 153 149 145
15 17 20 23 27 30 29 28 28 31 33 34 36 38 39 38 37 38 38 35 34 32 29 25 23 21 18 15 12 11 9 7 6 6 5 4 5 5 5 4 4 5 6 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 4 14 25 29 34 42 50 58 63 67 71 77 81 86 90 90 86 81 78 77 76 76 78 80 82 87 88 89 91 94 96 97 98 100 103 105 106 106 108 111 113 115 116 115 114 114 120 128 134 138 140 137 133 142 151 155 154 151
9 10 12 15 20 26 27 27 28 29 30 30 31 32 33 33 32 32 31 31 30 28 25 22 20 17 15 12 10 9 7 5 4 3 2 1 1 1 3 2 2 3 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 6 15 23 29 36 43 53 63 69 71 74 77 81 87 91 93 90 85 80 76 73 71 74 78 81 85 86 87 89 92 96 97 103 110 116 114 111 109 109 111 112 111 111 110 107 109 116 124 131 137 142 141 134 141 148 153 155 154
5 6 6 8 14 22 24 24 26 27 27 28 29 30 31 31 32 32 31 30 27 24 22 20 17 15 12 9 8 6 4 3 2 1 0 0 0 0 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 2 7 15 22 33 38 45 52 61 69 73 76 79 82 87 91 93 92 86 81 75 71 68 73 77 80 82 84 85 86 89 96 103 112 120 126 127 122 117 115 114 113 109 105 104 103 106 112 120 127 133 137 139 137 139 147 154 153 148
4 6 9 11 14 18 19 19 20 22 23 24 26 27 29 29 29 27 26 25 23 21 19 16 14 12 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 21 35 42 46 52 60 68 76 79 80 82 87 91 92 92 88 83 77 72 69 71 74 76 79 81 83 84 88 98 110 122 127 127 127 126 124 122 121 117 111 105 102 102 103 107 114 121 128 132 135 136 140 150 160 161 155
5 9 12 14 16 16 16 17 18 19 19 20 21 22 23 24 23 22 21 20 18 17 15 12 11 9 7 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 0 2 7 16 21 33 40 44 49 57 66 79 79 80 82 86 91 94 95 94 89 83 74 66 64 68 71 73 75 77 81 89 105 120 131 136 137 134 130 128 126 124 118 112 109 107 106 106 106 110 116 122 129 134 137 144 155 168 174 166
7 10 11 12 14 14 14 15 15 14 14 15 17 18 18 18 18 19 18 16 15 13 11 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 20 28 35 39 45 55 63 73 77 79 80 83 89 93 93 96 93 84 72 64 61 64 67 69 69 72 79 92 110 123 134 141 143 141 137 133 128 125 120 115 115 114 110 111 111 111 112 117 124 132 137 143 155 170 182 176
5 7 8 9 11 11 11 12 12 11 11 11 12 13 12 12 13 13 13 12 11 10 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 19 26 32 35 41 52 59 68 73 76 78 81 85 90 92 95 94 88 77 69 66 66 66 65 66 73 84 99 112 124 134 141 142 141 139 137 130 126 121 119 120 119 117 118 117 115 114 115 119 127 134 142 153 164 176 176
2 3 5 6 8 8 8 8 8 7 7 7 7 7 9 9 8 7 7 7 7 6 4 3 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 0 0 0 0 0 2 6 13 18 24 31 33 38 47 56 65 70 73 76 79 82 86 92 95 96 91 83 76 71 67 63 62 65 76 92 106 117 128 138 143 143 139 138 134 129 125 122 123 125 125 123 124 124 123 119 116 118 124 130 135 148 155 163 166
0 1 2 3 4 5 5 5 5 5 3 3 3 4 5 5 4 4 4 3 3 3 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 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 11 18 23 30 33 35 43 52 61 67 71 74 77 80 82 89 95 98 96 90 81 73 67 64 64 68 78 93 110 124 135 142 146 146 141 137 131 126 122 122 124 127 127 126 128 130 129 124 120 119 120 127 129 138 144 149 155
0 0 1 1 1 2 2 2 2 2 1 1 0 1 1 2 2 2 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 0 0 0 0 0 1 3 8 15 21 27 33 33 41 49 57 63 68 72 76 77 78 84 89 96 99 98 89 74 69 68 68 71 79 94 112 129 140 145 148 145 141 138 133 128 124 123 125 128 132 131 133 133 131 128 126 121 121 125 128 132 138 145 153
0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 21 24 32 32 38 46 54 61 64 69 72 74 76 79 83 89 95 98 91 74 72 72 71 74 83 97 116 132 141 143 141 142 144 144 141 138 135 132 128 133 136 137 138 137 135 132 132 127 125 127 130 132 135 142 154
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 21 23 27 29 34 43 53 60 59 64 69 73 75 77 80 85 88 91 83 74 73 75 74 76 86 102 120 136 140 140 141 148 152 153 154 156 153 148 146 146 147 148 147 144 141 137 137 135 134 134 136 135 135 140 155
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 21 24 27 31 40 51 58 56 59 66 72 74 74 77 81 84 84 78 74 74 76 77 81 91 106 125 139 143 148 154 159 161 162 167 173 173 171 165 159 156 156 154 151 146 143 142 140 139 139 141 141 140 145 158
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 16 23 28 31 37 47 54 54 56 62 71 75 74 75 79 81 79 77 75 75 77 80 86 97 111 130 143 151 161 169 171 165 163 167 176 184 186 182 174 167 163 159 154 150 148 147 144 141 141 143 145 146 151 161
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 20 27 29 34 43 50 51 52 58 67 74 73 71 76 79 79 78 77 77 78 81 89 102 117 133 145 159 174 185 186 171 165 166 173 183 186 179 168 167 165 162 157 153 152 151 147 144 143 145 147 147 152 159
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