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 7 6 5 6 7 7 8 8 9 9 9 8 10 11 10 8 8 9 8 8 8 6 7 9 10 10 9 8 8 8 8 8 9 10 10 10 9 9 8 9 10 10 10 9 8 8 8 8 8 7 7 7 8 9 9 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 nan
nan 7 6 6 6 6 5 6 8 8 9 9 8 8 8 8 8 9 10 9 9 10 9 9 9 9 9 8 8 8 8 8 9 11 12 12 12 11 9 9 9 10 11 10 9 8 8 8 7 7 8 7 7 7 8 9 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 nan
nan 7 7 7 8 7 5 5 8 9 10 9 7 6 6 7 7 8 9 11 11 11 11 10 9 8 8 8 8 9 10 11 12 13 14 14 12 11 10 10 10 11 11 9 9 9 8 8 7 7 8 7 7 6 7 8 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 8 8 7 7 6 7 10 10 9 8 8 7 7 8 9 10 10 11 12 11 9 8 7 8 8 8 9 11 13 15 16 15 13 12 10 9 10 10 11 11 10 9 9 9 9 8 8 8 8 7 6 7 7 7 7 9 9 8 8 8 8 7 8 8 8 8 9 8 9 9 8 8 8 8 7 8 8 nan
nan 9 9 9 8 7 7 7 8 10 10 10 9 9 9 9 9 9 11 11 10 10 9 8 8 7 7 8 8 9 12 15 18 17 14 12 11 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 8 7 6 6 6 8 9 9 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 nan
nan 10 10 10 9 9 7 7 8 10 10 10 9 9 10 10 9 9 10 11 10 9 9 8 8 8 7 7 8 10 12 15 17 16 13 11 10 10 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 8 7 5 6 8 9 9 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 nan
nan 10 10 10 10 9 8 6 8 10 10 10 10 10 11 11 10 9 10 10 9 9 8 7 7 7 6 8 10 11 12 14 15 14 12 11 10 9 10 10 10 8 8 8 9 9 9 10 9 9 9 9 9 9 8 6 6 7 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 11 10 10 10 10 9 8 8 10 10 9 9 10 11 11 10 10 10 9 8 8 8 8 8 9 9 10 11 12 13 14 15 13 12 11 10 9 8 9 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 7 6 7 8 7 8 10 10 10 10 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 nan
nan 11 11 10 10 10 10 9 9 9 9 8 9 11 11 11 10 11 10 9 8 9 10 10 11 12 13 13 12 10 10 11 13 14 13 12 10 9 9 9 10 9 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 7 7 8 9 11 10 9 9 8 8 8 8 8 8 9 8 8 8 9 9 9 nan
nan 10 10 10 10 10 10 10 9 9 8 7 9 10 10 10 9 10 10 10 9 9 10 10 10 11 12 12 10 8 8 8 9 11 11 10 10 10 9 10 11 11 11 11 10 9 9 9 9 8 8 9 9 9 8 7 7 8 8 7 7 8 9 10 11 10 10 9 8 8 9 9 8 8 8 8 9 9 9 9 nan
nan 10 9 9 9 9 10 10 9 8 7 7 8 9 9 9 9 9 11 11 9 8 8 8 9 9 8 8 8 7 7 7 8 8 8 9 9 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 9 9 8 8 8 8 7 7 8 9 9 9 10 10 10 9 8 7 8 9 9 8 7 8 9 9 9 10 nan
nan 9 9 9 9 9 9 9 9 8 8 7 8 10 10 10 9 10 10 11 8 7 7 7 7 6 5 5 6 7 7 7 8 7 7 8 8 9 9 9 9 10 11 12 11 10 10 10 9 8 8 8 9 10 9 9 9 9 8 7 9 10 11 11 11 10 10 9 8 7 7 8 8 7 7 7 8 9 10 10 nan
nan 11 10 9 8 10 10 9 8 8 9 9 10 11 11 11 10 9 9 8 7 6 6 6 5 4 4 5 5 6 7 7 8 7 6 7 9 9 7 7 8 9 10 11 10 9 11 11 9 8 8 9 10 10 9 9 9 9 9 8 8 9 10 11 11 10 10 9 8 8 8 9 8 7 7 7 7 9 9 10 nan
nan 13 12 11 10 10 11 9 7 8 9 10 11 12 11 10 9 8 7 6 6 6 5 3 3 4 4 5 6 6 7 8 8 7 7 8 9 9 7 7 7 8 9 9 9 8 9 9 8 8 9 10 10 10 10 10 10 9 9 8 7 7 9 11 11 10 9 9 9 8 8 9 9 8 8 7 7 8 9 10 nan
nan 12 12 12 12 11 10 9 9 9 9 10 11 11 11 10 8 8 6 5 5 6 5 3 2 3 4 5 7 8 9 10 9 8 7 8 8 7 6 6 7 8 8 8 9 8 7 7 7 8 9 9 9 9 10 10 10 10 9 8 7 6 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 10 11 12 12 12 11 11 11 10 8 8 9 11 11 9 9 8 6 4 5 6 5 5 3 4 5 5 6 9 12 11 10 9 8 7 6 6 6 6 6 8 8 8 8 8 7 6 6 7 10 9 8 9 10 10 10 10 10 9 8 7 7 8 9 9 8 7 8 9 9 8 7 8 8 8 9 9 9 9 nan
nan 10 10 10 11 13 14 13 11 9 8 8 9 9 8 9 8 7 5 3 4 6 6 6 5 5 7 7 7 7 10 11 11 10 8 7 6 6 6 6 6 7 8 9 8 8 8 7 6 6 8 9 8 8 9 9 10 10 10 9 8 7 7 8 8 8 8 8 9 10 9 8 7 8 8 8 9 9 9 9 nan
nan 9 9 9 11 12 14 13 10 8 8 9 9 8 7 8 7 6 5 4 5 7 7 6 6 7 8 8 8 7 8 9 10 10 9 8 7 5 6 7 7 7 8 8 10 9 9 8 6 6 7 8 7 7 8 9 9 9 9 9 8 7 7 7 8 8 8 8 9 9 9 8 8 7 8 8 8 8 9 9 nan
nan 9 9 10 10 11 12 11 8 7 8 9 9 8 8 7 7 6 5 5 6 7 8 6 6 6 7 8 7 8 8 8 8 9 9 9 8 6 6 7 9 10 9 10 10 10 9 7 6 5 6 6 6 6 7 8 8 9 8 8 7 7 7 8 8 8 9 10 9 9 9 9 8 8 8 8 8 8 9 9 nan
nan 9 9 10 10 10 9 8 7 7 7 9 9 9 8 6 5 5 5 6 7 7 7 7 5 5 6 7 7 7 8 7 7 8 8 9 8 8 8 8 9 10 10 10 11 10 9 7 6 5 5 6 6 6 6 7 7 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 7 8 9 9 9 9 nan
nan 9 9 9 10 9 8 6 7 7 8 9 10 9 8 6 6 6 6 6 6 6 4 7 8 6 5 6 6 7 8 8 7 7 7 8 10 9 9 10 10 11 11 10 10 10 9 8 6 5 6 6 7 6 6 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 8 9 8 8 8 8 8 9 8 nan
nan 10 10 10 10 8 7 6 6 7 8 9 10 9 8 7 6 7 8 7 6 4 3 6 9 7 6 6 6 7 8 9 9 8 8 8 10 10 10 10 11 11 11 10 11 10 10 9 7 6 7 7 7 7 7 7 7 6 5 5 5 6 7 8 9 9 9 9 8 9 9 9 8 9 8 8 7 7 8 8 nan
nan 11 11 10 9 8 8 7 6 6 7 9 9 9 8 7 5 6 8 8 6 5 4 5 7 8 7 6 7 7 9 11 11 10 9 9 10 11 10 10 11 11 11 10 10 10 9 9 9 7 6 6 6 7 7 7 7 6 6 5 5 5 6 8 10 10 9 9 8 9 9 9 9 8 8 8 8 7 7 7 nan
nan 11 11 9 9 10 9 7 7 8 8 8 9 9 8 6 5 5 7 8 7 6 5 5 7 8 8 7 7 8 10 12 12 12 11 9 9 12 11 10 9 9 9 9 8 9 10 9 8 7 6 6 7 6 5 6 7 6 7 7 7 7 7 8 9 10 9 8 8 8 9 10 9 9 8 8 8 7 8 7 nan
nan 11 11 10 10 10 9 7 8 10 10 9 9 8 7 6 5 5 6 7 6 6 5 6 7 8 7 7 8 9 10 12 12 12 10 9 9 11 11 9 8 7 7 7 6 7 9 9 9 8 6 6 6 6 5 5 6 6 6 7 8 8 8 9 9 10 10 9 8 8 8 10 10 9 7 8 8 7 7 7 nan
nan 12 13 13 12 11 9 9 10 11 11 9 8 8 7 6 6 6 6 6 6 6 5 6 7 8 8 8 9 10 10 10 11 11 10 8 8 9 9 8 8 7 6 6 6 6 9 10 9 8 7 6 6 6 6 6 5 5 6 7 8 8 9 10 11 12 11 11 10 9 8 9 10 10 9 8 8 7 8 8 nan
nan 12 14 15 15 15 14 12 12 11 10 9 9 8 8 7 6 6 5 5 6 7 6 6 7 7 7 9 11 12 11 10 10 9 10 9 8 8 7 7 7 6 6 6 6 5 9 10 8 7 7 7 7 8 8 8 7 6 6 7 7 8 10 11 11 13 12 11 11 11 10 9 9 10 10 8 8 8 8 8 nan
nan 14 15 16 17 18 17 15 14 12 10 9 9 8 8 8 8 7 5 5 6 6 7 7 6 6 6 8 12 14 13 11 9 8 8 8 9 8 8 8 8 7 6 7 7 6 7 8 7 7 8 9 10 11 11 10 10 9 8 8 8 8 9 10 10 11 10 9 10 12 12 11 10 10 11 10 9 8 8 7 nan
nan 16 15 16 17 17 16 16 14 12 10 9 9 8 8 8 8 8 7 5 5 6 6 7 7 7 8 9 12 13 13 12 10 8 8 8 8 8 8 9 9 8 8 8 7 6 6 7 7 9 12 15 15 15 15 12 11 11 11 10 9 8 8 9 9 9 8 8 9 11 12 12 12 11 12 12 11 11 11 9 nan
nan 16 14 14 14 14 13 13 12 12 10 9 9 8 8 8 8 8 8 6 5 4 5 6 7 8 9 11 11 13 14 13 11 9 8 9 9 9 9 9 9 9 9 8 6 6 6 6 8 10 17 20 18 16 14 11 10 10 10 10 10 9 8 8 8 8 9 9 10 11 12 12 13 13 12 13 13 14 15 13 nan
nan 13 11 11 12 11 10 10 10 10 9 9 9 9 8 9 8 8 8 7 6 4 4 5 6 8 9 9 11 12 12 12 11 10 9 8 8 9 9 9 9 8 8 8 6 5 6 6 7 12 21 22 17 14 12 11 9 7 7 8 9 10 9 8 8 8 9 11 12 12 12 12 13 13 11 11 11 12 13 13 nan
nan 10 10 10 10 10 9 7 8 8 9 9 9 9 10 10 9 9 8 8 7 6 5 5 6 7 7 8 10 11 11 11 11 10 9 8 7 8 8 8 8 8 7 7 6 4 5 6 8 15 22 22 16 13 11 10 9 7 5 5 8 10 10 8 7 7 7 10 11 11 11 11 10 10 10 8 9 9 10 10 nan
nan 9 10 10 10 9 8 7 7 8 8 9 10 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 9 8 7 6 6 6 7 8 7 6 6 5 5 5 6 10 17 22 19 15 12 10 9 8 7 5 4 6 10 10 9 7 5 5 6 7 8 9 9 9 8 8 7 7 7 8 9 nan
nan 9 9 9 9 8 8 7 7 7 7 8 9 11 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 9 9 10 10 9 7 7 7 6 5 6 8 7 6 6 6 5 5 6 9 16 20 17 14 12 11 9 8 8 6 4 5 7 9 9 8 5 4 3 4 6 7 6 7 8 8 7 6 7 7 8 nan
nan 9 9 9 9 8 8 8 8 7 7 8 9 9 10 10 9 9 9 9 9 9 9 10 9 8 7 8 8 9 9 9 9 9 8 8 7 6 6 6 8 7 7 8 7 6 6 6 8 17 21 17 14 12 11 9 8 8 7 6 5 5 6 8 9 7 5 5 4 4 5 5 5 7 9 9 9 9 8 8 nan
nan 9 9 9 8 8 8 9 9 9 9 8 8 9 10 9 9 8 8 9 9 9 9 9 10 9 8 8 9 9 8 8 8 8 8 7 7 8 7 8 8 8 8 9 9 8 7 7 10 19 21 17 14 12 11 10 8 8 8 7 4 2 4 6 9 8 6 7 7 7 6 5 5 6 7 9 10 10 10 10 nan
nan 9 9 8 7 7 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 9 8 8 9 9 8 9 9 9 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 11 17 18 16 14 11 10 10 9 9 9 7 4 2 4 7 8 8 6 6 8 10 10 8 6 6 7 8 9 11 12 12 nan
nan 8 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 9 8 7 9 9 8 9 9 9 8 7 6 6 6 7 8 9 9 9 10 10 9 9 10 9 9 9 12 16 17 15 13 11 10 10 11 11 11 10 6 6 9 10 9 9 8 7 8 9 10 10 9 8 9 10 10 11 12 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 11 12 10 8 9 10 10 9 8 9 9 9 8 7 7 6 7 9 11 10 11 11 11 10 11 10 10 9 10 14 17 17 15 13 11 10 12 13 14 14 13 9 8 10 12 12 11 11 10 9 8 9 9 10 11 11 11 11 11 11 9 nan
nan 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 10 7 8 10 10 10 9 9 9 8 8 9 9 8 9 10 12 12 12 12 11 10 10 10 10 10 10 13 16 16 14 12 12 12 14 15 16 15 12 9 8 10 13 13 12 11 10 10 9 9 9 10 11 11 12 12 11 10 9 nan
nan 9 9 8 9 9 10 10 10 10 10 9 10 11 11 10 11 12 12 12 12 10 8 8 9 9 9 9 9 10 9 8 9 10 11 10 10 12 13 13 12 11 10 9 9 9 8 9 13 15 16 14 13 13 13 14 15 15 14 10 7 5 8 13 12 11 10 9 10 10 10 11 11 11 10 10 11 10 9 8 nan
nan 9 8 8 9 10 10 10 9 10 10 10 10 10 11 10 10 11 12 13 12 10 9 9 10 8 8 9 9 9 10 9 8 10 12 12 11 11 11 11 11 11 10 9 9 9 8 10 14 16 15 15 14 13 12 12 13 12 10 6 3 4 8 11 11 10 10 10 10 11 11 11 11 10 9 9 9 8 8 8 nan
nan 8 9 8 9 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 9 9 9 9 9 10 9 8 9 11 12 14 12 11 11 11 11 10 9 9 9 9 11 13 15 15 16 14 12 11 10 10 9 5 2 2 6 10 10 9 10 12 13 12 11 11 11 11 10 9 8 8 7 8 9 nan
nan 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 9 9 11 13 11 9 9 10 10 10 10 10 9 8 9 11 14 14 12 10 10 10 10 9 9 9 10 11 13 15 16 15 12 11 10 9 9 7 3 1 2 6 9 9 8 10 12 13 13 13 12 11 10 9 9 9 10 9 9 12 nan
nan 8 8 8 7 7 9 9 9 10 10 9 9 9 10 11 11 10 10 11 10 9 11 12 11 9 8 10 11 11 11 10 9 9 9 10 11 12 12 11 10 10 9 9 9 9 11 11 14 17 18 14 11 9 9 9 8 5 1 1 3 5 7 8 8 10 11 12 12 12 11 10 9 8 8 9 11 11 11 13 nan
nan 8 8 8 8 8 8 9 9 9 9 9 8 8 9 10 12 11 11 11 10 9 11 12 12 10 9 10 11 12 11 11 10 10 10 9 9 10 11 11 11 10 8 9 9 10 10 11 16 21 20 13 9 9 9 9 9 5 -0 -1 3 6 6 7 9 11 11 10 10 10 9 10 9 8 7 8 10 11 8 8 nan
nan 9 9 8 8 8 9 10 10 9 9 9 8 9 10 10 11 11 10 10 11 10 11 12 11 11 11 12 12 12 12 11 12 12 12 10 8 9 10 11 12 11 9 10 11 10 9 12 16 21 20 14 10 10 10 11 11 6 1 -1 4 7 6 8 9 11 11 8 8 8 8 9 9 9 8 7 9 9 6 3 nan
nan 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 11 11 12 11 11 11 10 10 12 13 12 12 13 13 13 13 14 11 9 10 11 12 12 12 11 10 11 10 9 12 15 19 21 16 12 11 12 14 12 7 1 -2 2 7 7 8 9 11 11 9 7 7 7 8 10 10 10 8 7 9 7 2 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
53 47 45 48 49 48 49 53 59 64 68 72 82 97 112 121 115 108 106 116 131 139 139 138 139 143 146 143 133 115 108 99 86 70 53 44 49 51 48 40 29 18 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 20 25 29 27 20 13 12 16 22 26 25 24 22 27 36 46 54 59
57 51 45 45 45 45 46 53 58 60 66 75 88 105 121 132 124 119 114 118 131 137 141 146 152 157 158 149 128 98 82 71 62 52 39 30 34 35 29 22 17 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 18 23 22 17 13 13 15 20 24 25 24 22 25 32 39 47 54
55 50 51 48 45 44 48 58 65 63 67 74 85 99 115 130 134 133 126 124 131 135 144 157 165 166 159 144 114 83 64 54 47 40 34 29 28 24 16 10 7 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 12 10 10 13 16 20 22 23 20 17 21 26 33 42 51
54 53 62 58 50 46 49 59 65 66 67 70 75 83 96 112 128 139 139 135 134 137 151 166 172 166 151 129 98 71 56 45 39 36 33 29 24 17 8 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 8 13 19 23 24 22 18 19 22 30 39 47
52 53 59 59 55 50 50 57 63 66 68 69 70 74 83 100 120 137 145 144 140 142 156 171 171 160 139 113 83 62 50 41 35 33 34 26 19 12 4 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 1 3 4 8 14 19 26 28 29 31 33 35 39 43
52 53 56 56 54 52 54 58 65 70 72 73 74 76 86 103 124 143 152 150 144 144 154 162 158 145 130 104 74 55 44 36 28 27 30 20 14 6 1 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 3 5 8 11 13 21 28 36 41 43 44 45 47
52 52 54 54 52 54 58 61 68 74 76 78 80 85 96 115 136 153 159 154 145 142 142 146 146 138 125 100 71 50 36 26 20 21 20 14 9 5 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 2 5 9 12 14 18 24 31 41 50 56 58 59
48 49 52 51 49 51 56 60 71 78 81 84 88 94 106 125 142 154 155 148 139 133 128 133 137 134 123 100 68 42 25 14 10 12 12 9 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 0 0 0 0 2 5 10 13 15 15 16 21 32 44 56 64 67
45 46 51 50 49 50 53 58 74 83 88 90 94 100 112 128 139 143 141 133 126 122 118 120 122 121 114 93 62 36 18 8 5 6 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 1 3 8 13 16 18 14 13 19 28 38 48 56 59
48 49 53 52 52 52 54 60 75 85 90 93 97 103 114 125 128 126 122 117 114 114 112 111 111 110 102 78 50 26 10 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 2 5 10 16 18 22 19 18 22 28 35 38 41 42
51 53 57 58 58 58 59 64 75 84 90 94 97 102 110 116 115 112 109 108 108 106 103 99 95 88 74 52 27 10 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 1 3 6 10 17 23 28 28 27 29 32 34 33 30 29
48 50 56 60 60 60 62 67 75 83 89 93 96 98 103 104 102 100 101 101 98 88 79 69 58 44 28 15 5 1 0 0 0 0 0 0 0 0 0 1 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 1 3 5 7 10 18 27 34 37 37 35 31 28 23 18 15
40 40 48 53 55 56 61 69 74 80 83 86 90 93 97 94 90 88 86 81 71 57 44 31 20 10 4 1 0 0 0 0 0 0 0 0 0 0 1 4 7 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 15 25 32 34 31 25 23 17 10 6 5
32 30 39 46 50 53 60 69 72 74 76 79 84 88 92 85 75 66 59 49 34 21 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 4 3 5 5 4 4 3 2 0 0 0 0 0 0 1 1 2 2 2 0 0 0 0 1 3 6 8 8 12 19 23 22 19 17 13 8 5 4 4
30 26 35 42 48 54 59 65 67 69 72 77 81 86 85 71 54 41 30 21 12 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 7 10 11 11 9 8 6 4 2 1 1 3 4 6 7 7 5 1 0 0 0 0 1 3 6 8 11 15 15 12 8 5 4 3 4 6 7
29 30 36 42 47 52 55 59 63 67 73 78 82 85 76 55 34 19 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 12 14 15 14 13 10 6 5 5 7 9 11 11 11 9 5 1 0 0 0 0 2 5 9 14 17 17 14 10 5 1 2 5 10 11
28 35 39 43 46 48 50 52 57 64 71 77 80 80 63 38 17 6 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 2 6 12 17 19 19 16 12 10 8 8 10 13 15 15 15 14 9 5 2 1 0 0 1 7 15 21 24 26 24 18 12 7 6 10 11 10
25 33 38 44 48 49 47 48 54 60 66 69 72 71 47 20 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 1 7 16 24 27 24 19 15 12 11 11 12 15 17 18 19 18 14 10 7 4 2 1 3 11 22 30 34 33 30 25 19 15 14 15 13 12
21 28 36 46 52 52 46 45 50 55 60 65 64 56 28 8 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 9 21 31 33 29 23 18 14 13 13 13 15 17 19 20 19 17 15 12 9 6 5 7 13 21 28 32 32 30 28 24 20 18 18 18 18
17 21 31 46 56 56 46 42 43 48 56 60 52 37 15 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 5 12 20 27 30 28 24 18 14 13 13 13 13 15 17 19 19 19 18 17 15 12 10 10 14 18 22 25 27 29 29 28 25 23 22 19 23
12 14 27 44 55 55 46 44 42 46 51 51 39 21 8 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 4 10 14 18 22 23 20 16 13 11 12 12 13 14 15 17 18 20 22 23 23 21 20 20 21 22 23 23 26 28 28 30 32 32 31 29 30
9 10 22 37 47 48 45 44 45 48 50 44 28 11 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 1 4 8 12 15 17 17 15 13 11 12 12 13 14 15 16 18 23 26 28 30 29 28 29 31 32 28 25 26 27 28 31 35 38 38 39 38
8 11 19 29 35 38 38 41 46 50 47 36 17 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 0 0 0 0 0 0 1 4 8 10 13 14 15 14 13 13 14 15 15 15 16 20 27 32 34 36 37 35 36 40 43 39 33 31 29 31 35 39 40 41 41 39
9 13 17 20 24 26 27 31 37 42 38 24 6 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 1 2 6 9 11 13 14 14 14 14 16 18 19 18 18 22 29 36 43 49 49 47 47 51 55 53 45 37 33 34 38 42 43 44 44 44
10 16 16 16 15 14 13 15 21 26 23 11 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 2 5 8 10 12 12 12 12 14 17 20 22 22 21 26 33 40 50 62 63 61 60 61 63 64 56 45 40 40 43 48 48 47 47 46
10 17 17 14 12 7 3 3 7 11 9 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 1 3 4 6 8 8 7 8 11 16 21 23 24 26 31 38 46 55 65 71 72 73 72 72 70 66 57 52 53 61 62 57 52 49 45
10 17 16 13 9 3 0 0 1 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 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 3 6 12 19 25 28 32 37 44 52 62 71 78 81 83 82 81 78 74 70 67 66 72 72 67 62 58 54
10 18 17 13 7 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 0 0 0 0 0 0 0 2 7 14 22 29 36 44 52 62 72 80 84 86 88 89 89 85 82 80 81 82 82 78 78 77 73 70
12 19 17 11 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 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 17 26 36 47 60 73 85 91 91 89 87 87 87 86 86 88 92 97 100 99 98 94 87 86
16 19 13 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 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 23 34 47 62 80 94 102 102 97 92 87 85 86 89 94 101 108 110 110 108 104 97 96
18 12 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 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 18 26 36 49 64 82 100 110 114 112 106 96 89 88 93 100 106 110 111 109 106 103 100 99
10 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 0 0 0 0 0 0 3 8 14 22 30 41 54 70 87 104 115 121 125 121 106 94 90 93 98 101 104 104 102 100 98 98 96
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 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 18 27 38 54 74 95 111 119 124 133 127 111 98 90 89 90 93 95 96 96 96 97 98 96
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 15 28 48 71 99 115 124 131 137 127 111 98 90 87 87 88 89 90 93 97 102 105 101
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 37 66 94 113 124 131 131 123 111 99 92 88 87 87 86 88 94 102 108 110 106
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 50 78 98 108 115 119 120 113 103 94 90 89 87 88 91 97 104 109 110 107
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 0 0 0 0 0 1 8 29 55 77 88 96 109 116 114 108 103 98 94 92 92 95 100 104 107 106 99
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 7 3 1 0 0 0 0 0 2 14 36 59 74 83 97 107 113 114 113 109 106 104 103 102 103 104 102 95 84
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 19 12 5 2 0 0 0 0 0 0 11 31 53 69 79 90 100 110 117 120 118 118 118 115 107 102 97 91 82 72
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 22 22 14 6 2 0 0 0 0 0 1 14 36 58 72 80 88 96 104 112 116 119 123 126 120 105 92 83 76 72 68
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 15 17 12 7 3 1 0 0 0 0 4 18 38 60 72 80 86 93 100 106 111 117 124 126 116 98 82 72 66 65 65
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 9 10 8 5 2 1 0 0 1 6 18 35 54 67 74 81 89 97 102 108 115 122 122 106 87 71 62 57 58 60
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 7 4 2 0 0 2 8 20 33 50 63 72 78 85 93 99 106 112 116 112 93 74 60 52 49 52 56
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 2 1 0 0 5 17 34 52 65 75 81 87 93 98 102 104 102 95 77 62 51 46 45 48 52
0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 6 5 3 1 0 0 0 4 15 34 55 72 83 89 90 94 95 94 90 82 72 60 50 44 41 42 46 52
0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 4 15 36 58 77 89 93 90 89 86 80 72 64 55 47 42 39 38 40 42 44
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