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