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 5 4 5 6 6 7 7 8 8 8 8 9 10 8 6 7 9 7 7 6 5 6 8 9 10 9 10 11 11 10 9 9 9 9 8 9 7 6 7 9 9 8 8 8 7 8 8 8 8 7 6 6 9 9 6 4 6 7 9 11 10 7 7 9 10 8 7 7 7 8 9 9 8 8 8 8 8 8 nan
nan 7 6 5 5 5 3 5 6 6 7 7 6 7 8 8 7 7 9 9 9 8 7 6 8 8 8 8 10 11 11 9 8 8 9 10 9 8 7 6 7 9 10 9 8 8 8 7 7 7 7 6 6 6 9 9 6 5 5 7 10 10 9 8 7 8 9 8 8 7 6 7 9 10 9 8 8 9 9 9 nan
nan 6 5 6 6 5 3 3 5 6 6 7 6 6 7 7 6 7 8 9 10 10 9 9 8 8 7 8 10 11 10 10 9 9 9 9 9 8 7 6 7 9 10 9 8 9 8 7 7 7 7 6 6 6 8 9 6 5 6 9 10 9 8 8 8 8 9 9 8 7 6 6 6 8 8 8 9 9 9 10 nan
nan 7 6 6 6 6 5 4 5 8 8 7 7 7 7 7 7 6 7 8 9 11 10 9 9 8 8 9 9 9 10 10 10 10 10 9 9 8 6 5 6 9 12 10 9 8 9 8 7 7 6 6 7 7 8 7 5 5 8 11 9 7 7 7 7 8 8 8 8 9 9 9 7 7 7 8 8 9 9 9 nan
nan 8 7 7 7 6 6 6 7 8 9 8 8 8 8 8 7 6 7 8 8 9 10 10 10 9 8 8 8 9 10 11 11 10 9 9 8 8 6 5 5 8 11 10 9 9 9 9 8 7 7 7 8 8 7 5 4 6 10 10 9 7 7 8 8 8 8 6 7 9 9 9 9 8 8 8 8 9 9 9 nan
nan 8 8 8 7 6 6 5 6 8 8 9 9 8 8 8 7 5 6 8 7 8 8 9 10 10 8 7 8 9 10 11 11 10 10 9 7 7 7 7 7 7 8 9 10 10 9 8 7 7 7 8 8 8 7 5 4 7 11 10 8 8 9 9 8 8 8 7 7 8 8 8 9 10 10 9 9 9 9 8 nan
nan 8 8 8 8 8 7 5 5 7 8 8 8 8 9 9 7 6 6 7 7 7 8 8 9 9 8 8 10 9 10 10 10 10 9 9 7 6 6 7 8 7 7 8 9 10 8 8 7 7 6 8 8 8 8 5 4 7 9 9 8 10 11 10 9 8 7 8 8 8 8 8 9 9 9 10 10 10 9 8 nan
nan 10 9 9 9 9 8 6 6 7 7 7 8 8 9 9 9 9 8 7 7 8 8 8 9 8 8 9 10 10 9 9 10 10 9 9 8 7 7 7 8 7 7 7 9 9 8 7 6 6 6 7 7 8 7 5 4 7 8 6 7 10 12 12 10 9 7 7 8 9 8 8 9 9 9 10 10 9 9 9 nan
nan 10 9 9 9 9 9 7 7 6 6 6 7 8 9 9 9 11 11 9 7 8 8 8 8 7 8 9 10 9 9 9 10 11 10 9 9 9 9 8 8 8 7 7 8 8 8 7 6 6 7 7 7 7 7 6 5 7 8 7 7 9 11 12 11 10 8 8 7 8 8 8 9 10 9 10 10 10 9 8 nan
nan 9 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 10 11 10 8 8 8 8 8 8 9 10 9 8 7 7 8 10 10 10 9 10 10 9 9 9 8 8 9 8 7 7 6 6 6 7 8 7 6 6 6 7 7 7 8 9 9 10 10 10 9 8 8 8 9 8 9 9 9 10 10 9 9 9 nan
nan 9 8 8 8 7 7 7 8 7 6 6 7 7 7 8 7 7 9 11 10 9 9 9 9 9 9 10 11 9 7 6 7 9 9 9 9 9 9 10 9 8 9 9 9 9 8 7 6 6 6 6 8 9 7 5 7 8 7 7 9 9 9 9 9 9 9 8 8 7 8 10 9 8 8 8 8 8 8 9 nan
nan 10 9 8 8 8 7 8 8 8 8 8 9 8 8 8 7 6 7 8 9 9 8 9 9 9 8 9 11 9 7 6 7 8 8 9 9 8 9 9 8 8 9 10 10 9 9 8 7 6 6 5 6 8 8 7 7 9 8 8 9 9 9 9 9 9 9 9 8 6 7 8 9 8 8 6 6 8 8 9 nan
nan 13 11 9 8 9 9 8 7 7 9 9 9 9 10 8 7 6 7 7 7 9 9 9 8 8 9 10 10 9 8 8 7 7 8 8 9 9 9 9 8 8 9 10 10 8 8 8 8 8 7 6 6 7 7 8 9 10 9 7 7 8 9 10 9 9 9 8 8 7 7 8 9 8 8 6 6 7 7 8 nan
nan 14 13 11 10 9 10 8 6 6 8 8 9 11 11 9 7 6 7 7 8 9 9 9 8 8 8 9 11 10 9 9 8 8 7 8 9 10 9 9 9 8 9 11 10 9 8 8 8 9 8 7 6 6 7 8 9 10 9 7 5 5 8 10 10 9 8 8 7 7 7 8 9 9 8 7 5 5 6 7 nan
nan 12 13 14 12 11 10 9 7 6 7 7 9 11 12 11 7 6 7 8 9 9 10 9 8 8 7 8 10 10 10 10 10 9 8 8 9 10 10 9 8 8 10 10 10 9 9 8 8 9 9 8 7 7 7 8 9 10 10 7 5 4 7 10 10 9 8 7 7 7 6 6 7 9 10 8 6 5 7 8 nan
nan 9 11 12 12 13 11 9 8 7 6 7 8 9 11 11 10 8 8 7 8 11 11 10 8 8 8 7 7 9 10 11 11 11 10 9 10 11 10 9 7 7 8 9 11 11 10 9 8 9 10 9 8 9 9 9 9 9 9 8 7 5 7 9 10 9 8 6 6 7 8 7 7 10 11 8 6 6 8 10 nan
nan 8 8 9 11 12 12 10 7 6 6 6 7 8 9 10 9 9 10 8 7 11 11 10 8 8 8 8 7 7 8 10 12 12 11 10 10 11 10 9 8 7 8 8 9 11 10 9 6 8 11 10 8 9 10 11 10 9 9 9 9 7 8 10 10 10 8 6 5 6 8 8 9 11 11 9 7 7 9 10 nan
nan 9 8 8 8 11 12 11 8 6 6 7 7 7 7 8 9 9 10 9 9 11 11 9 8 8 9 9 9 7 6 7 10 12 12 12 11 10 10 9 8 8 9 9 8 9 10 9 7 7 10 9 8 8 9 10 10 10 9 9 9 8 9 10 10 9 8 6 6 7 8 9 9 10 9 7 7 8 9 9 nan
nan 9 9 8 8 10 11 11 9 8 8 9 8 7 8 8 8 9 9 9 10 11 12 10 9 8 8 9 9 8 7 6 7 9 12 13 11 10 9 8 8 7 10 11 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 8 8 8 9 9 10 9 7 6 5 7 8 8 nan
nan 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 9 9 11 12 12 10 9 8 8 8 8 8 7 6 7 9 11 12 11 9 8 7 7 9 12 11 10 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 9 9 9 9 8 6 7 9 10 11 11 11 9 8 7 6 7 7 7 nan
nan 8 8 9 9 8 8 8 7 8 8 9 9 9 9 9 8 8 8 9 9 9 10 13 12 10 8 7 7 8 9 9 7 6 6 8 11 10 9 9 8 8 8 10 10 11 10 9 10 10 10 10 10 9 8 8 8 7 8 8 7 8 8 8 9 9 9 7 8 10 13 14 11 8 8 8 8 7 7 7 nan
nan 8 9 9 8 8 8 7 6 6 7 9 9 9 9 9 9 8 9 9 10 9 9 11 12 11 9 7 7 7 8 9 8 7 6 7 9 9 8 9 9 9 8 8 9 9 9 9 12 13 12 12 12 11 9 9 9 8 7 7 7 7 6 9 12 12 9 8 8 9 13 14 12 8 7 7 7 7 7 8 nan
nan 9 9 8 9 9 9 7 6 6 6 7 7 8 9 9 9 9 10 10 10 10 9 9 11 11 10 8 7 7 7 9 10 9 8 7 9 9 8 9 10 9 9 9 9 9 9 9 10 12 13 12 12 11 9 9 9 9 8 8 7 6 6 10 14 13 9 8 9 10 11 12 11 9 7 7 6 6 6 6 nan
nan 8 9 8 8 9 9 8 7 7 6 6 7 7 8 7 8 9 10 11 10 10 9 9 10 11 10 9 9 8 8 8 10 10 9 9 8 9 8 9 9 8 8 8 9 10 10 9 9 11 11 11 10 8 7 8 9 8 9 10 9 8 9 12 13 10 10 10 10 9 9 10 10 9 7 7 7 7 7 7 nan
nan 8 9 9 10 10 8 7 8 9 8 8 8 7 7 6 7 8 10 11 10 9 9 9 10 11 9 9 9 9 8 9 10 10 9 9 9 9 8 8 8 7 6 6 6 8 10 10 9 10 10 10 10 8 6 6 7 8 9 10 10 11 12 12 10 7 9 12 12 9 7 7 8 8 7 6 7 8 8 8 nan
nan 9 12 11 11 10 9 8 8 9 9 9 9 9 9 7 7 9 10 10 10 9 9 9 11 11 10 9 9 9 8 9 10 9 9 10 10 9 9 9 9 8 6 6 6 7 9 9 8 9 9 10 10 10 8 7 7 7 9 10 11 12 13 11 8 8 10 12 12 9 6 5 5 6 7 5 7 8 8 8 nan
nan 8 13 14 13 12 12 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 10 11 10 8 8 9 9 10 10 11 11 11 11 11 10 9 8 8 8 10 11 10 9 9 10 12 12 12 10 9 7 8 11 12 11 11 9 7 10 12 12 10 8 5 4 4 5 6 7 7 7 7 7 nan
nan 9 12 14 15 14 13 13 12 11 11 11 10 10 10 11 11 11 10 9 9 9 11 12 10 9 8 9 11 12 9 8 8 9 9 10 11 11 12 12 13 13 12 12 11 9 11 13 11 10 10 11 14 16 16 13 12 10 8 9 11 10 9 8 10 12 12 10 7 5 4 4 4 5 5 7 7 7 6 6 nan
nan 9 11 13 15 14 13 13 12 12 12 12 11 10 10 10 11 12 11 8 7 8 9 11 11 10 9 10 11 12 12 11 10 9 10 11 11 11 11 12 14 14 13 12 11 10 11 12 12 11 12 16 19 22 20 18 16 13 10 10 12 11 9 9 12 14 11 6 5 5 6 6 6 4 5 7 8 8 6 5 nan
nan 9 10 12 13 14 13 12 12 12 12 12 11 11 11 10 12 13 12 9 8 8 9 9 10 11 11 10 11 12 13 12 11 11 10 10 10 9 9 11 12 12 11 10 8 8 9 10 9 10 16 23 25 26 25 22 19 17 16 16 14 12 10 11 12 12 9 7 6 7 7 7 5 4 6 8 8 7 7 5 nan
nan 9 10 11 12 14 12 11 12 12 13 13 12 11 11 12 12 14 13 11 9 8 8 9 9 9 10 10 10 10 10 11 11 10 9 8 7 7 7 9 11 11 10 9 7 7 8 8 8 12 23 29 28 26 25 24 23 22 21 18 14 11 10 11 11 10 8 7 9 9 8 6 5 6 8 8 8 7 6 5 nan
nan 9 11 12 12 13 11 10 10 12 13 14 14 12 11 11 11 12 12 11 11 9 8 8 8 9 8 8 9 10 10 10 11 10 9 8 6 5 6 8 10 9 9 9 8 7 7 8 12 21 30 28 23 21 20 22 23 22 21 17 12 9 10 10 10 9 7 7 8 7 6 6 7 8 9 8 8 8 6 5 nan
nan 9 11 12 12 12 10 9 10 12 13 14 15 14 13 12 11 10 10 11 11 11 10 9 9 8 8 8 8 9 10 11 11 10 9 8 7 6 6 8 9 9 9 9 8 8 8 9 13 21 24 21 17 15 15 18 19 19 18 16 13 11 10 11 10 9 7 6 4 4 6 8 9 8 8 8 7 7 6 5 nan
nan 9 10 11 11 10 9 8 9 11 12 13 15 15 14 14 12 10 10 11 12 11 11 11 11 10 9 8 8 9 10 11 11 11 10 9 9 8 7 8 10 10 10 10 9 9 10 11 12 12 14 16 14 13 13 15 17 18 19 18 17 13 11 10 10 9 7 4 4 6 8 9 9 8 7 6 6 6 6 5 nan
nan 9 9 10 9 9 9 8 8 9 11 11 13 14 14 14 13 12 12 12 11 11 11 11 12 11 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 10 10 11 13 12 4 6 14 14 12 12 13 16 17 17 17 14 12 10 10 10 8 6 5 7 9 9 9 7 6 6 5 4 4 5 6 nan
nan 9 11 10 8 9 10 10 9 10 10 10 10 11 13 13 13 13 12 12 12 11 10 10 10 11 10 10 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 12 13 14 14 7 0 6 12 13 11 11 11 12 12 11 10 8 9 9 10 10 8 7 8 9 10 9 8 6 5 5 5 4 3 4 5 nan
nan 10 11 10 9 9 11 11 11 12 11 10 9 9 11 12 13 12 12 12 12 10 9 9 10 10 10 11 12 11 11 10 10 10 10 10 11 11 11 10 10 11 11 11 14 16 16 13 3 1 7 10 11 10 10 9 9 8 6 4 5 8 11 12 10 8 8 9 10 9 8 7 6 5 4 5 4 4 5 6 nan
nan 11 11 10 10 10 11 12 13 13 12 10 9 9 10 11 12 11 12 12 12 11 9 10 11 10 10 11 12 12 11 10 9 9 10 10 11 11 10 10 11 12 13 14 15 15 13 10 4 2 6 9 10 9 8 8 7 6 5 4 7 9 11 10 8 7 7 8 9 9 8 7 6 5 4 5 5 5 6 7 nan
nan 12 12 11 11 11 11 11 12 12 12 11 10 10 10 11 11 11 12 13 13 13 11 12 12 12 11 11 11 11 10 10 9 9 9 10 11 10 7 6 8 11 15 17 15 12 10 8 5 4 5 7 9 9 8 7 7 6 5 5 6 7 9 8 7 8 9 9 8 8 7 7 8 8 6 5 5 6 7 7 nan
nan 11 11 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 12 13 14 12 11 12 13 12 12 11 11 11 10 10 11 11 10 10 11 10 8 8 9 12 15 16 13 10 8 8 7 6 7 8 10 9 8 8 7 7 6 5 5 6 7 9 9 9 9 9 8 8 7 7 8 8 8 7 7 7 7 7 nan
nan 10 11 11 12 11 11 11 10 11 11 11 11 11 11 10 10 12 13 12 12 11 10 10 12 12 11 10 11 11 10 10 12 13 13 12 11 11 12 14 16 17 17 14 11 9 8 7 6 7 8 10 10 9 8 8 8 8 7 4 4 5 7 9 9 8 8 8 8 7 7 6 7 7 7 7 8 8 8 7 nan
nan 11 11 11 11 11 11 11 10 11 12 11 11 11 10 10 10 10 11 11 11 9 8 10 12 12 10 10 11 11 11 10 11 12 13 13 13 14 15 16 18 17 15 11 9 8 7 5 4 8 10 10 10 9 8 8 8 7 5 1 1 4 8 9 9 9 9 9 7 6 6 6 6 6 6 6 7 7 7 7 nan
nan 11 11 11 10 10 10 11 11 12 11 11 10 10 10 10 9 9 9 9 9 8 8 10 12 12 11 11 11 11 11 11 10 10 12 14 16 17 17 16 15 12 10 9 7 8 8 5 3 6 9 10 9 8 8 8 8 7 3 -0 2 7 10 9 8 9 9 9 7 5 5 5 7 7 6 7 6 6 6 8 nan
nan 11 11 10 10 11 10 11 11 11 11 10 9 9 9 9 9 8 8 8 7 6 8 10 10 10 10 12 13 12 12 12 11 12 13 15 17 18 16 14 12 9 8 8 8 8 9 7 5 5 7 8 8 7 7 8 8 7 3 2 3 7 8 7 7 8 9 9 8 7 6 6 6 6 5 7 8 8 7 9 nan
nan 10 10 10 10 11 11 11 10 11 11 10 9 9 8 9 9 9 8 9 8 7 9 10 10 9 10 12 14 14 14 13 13 14 15 16 16 15 14 11 10 9 8 8 8 8 9 9 8 6 6 7 7 7 7 8 9 5 2 2 5 6 6 6 7 8 8 8 8 9 8 8 7 6 5 6 8 10 9 11 nan
nan 10 10 11 11 11 10 10 9 10 10 9 9 9 9 10 10 9 9 10 9 8 10 11 11 11 12 12 13 13 14 15 15 16 16 15 13 12 11 10 10 9 8 8 9 9 10 10 9 7 6 5 5 6 8 9 9 5 2 2 6 8 7 6 7 8 7 7 7 8 9 10 9 7 5 6 9 11 12 15 nan
nan 10 11 10 11 10 9 9 8 9 9 9 9 10 11 12 11 9 9 10 9 10 11 13 14 13 13 13 13 13 13 13 15 16 15 13 11 11 11 11 11 10 9 9 10 10 11 10 9 8 6 5 6 7 9 10 11 8 5 3 6 8 7 7 7 8 8 6 6 7 7 8 9 9 7 7 10 11 13 16 nan
nan 11 10 10 10 8 7 8 8 7 8 8 9 11 12 12 10 9 9 9 11 12 13 13 14 13 12 13 13 12 13 14 14 14 14 12 11 11 12 12 12 12 11 10 9 9 10 10 10 9 7 6 7 8 10 10 11 10 6 2 4 7 6 6 7 9 9 7 5 4 4 6 9 10 10 10 10 12 13 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
83 74 71 74 75 72 70 75 88 102 106 101 90 80 73 74 80 89 98 107 117 124 131 141 140 130 112 94 80 71 69 51 28 12 6 10 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 11 19 25 27 24 17 14 14 20 28 35 38 38 37 45 56 67 74 75
82 73 67 68 71 70 66 64 69 79 88 92 92 88 83 82 83 90 92 96 102 108 120 138 136 124 110 95 80 67 58 39 19 7 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 14 21 29 32 28 18 12 12 17 24 30 32 31 31 36 44 52 59 65
73 66 64 65 67 68 66 64 62 65 72 78 83 86 88 93 94 97 96 94 94 94 102 118 122 115 104 92 76 59 44 29 16 7 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 14 17 23 30 34 32 22 15 13 13 16 20 22 21 21 26 30 34 36 42
61 58 59 60 60 59 58 57 54 54 57 62 66 71 78 86 93 100 103 102 98 91 89 98 107 107 99 86 70 52 37 24 13 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 9 11 16 21 28 34 34 23 15 11 10 12 14 14 12 11 16 20 18 14 19
49 46 44 45 46 45 44 45 46 47 50 53 55 57 62 70 79 90 99 104 104 96 87 92 101 102 94 80 66 46 31 17 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 6 5 6 8 11 17 23 28 22 15 12 13 16 19 19 14 13 16 16 11 3 10
36 32 27 26 28 30 32 35 40 45 49 52 53 52 52 56 62 72 84 96 102 100 93 94 99 98 88 75 61 39 22 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 6 6 6 3 1 2 4 8 14 14 14 14 18 23 25 25 21 20 18 13 5 2 12
21 18 14 13 13 17 23 28 34 42 48 52 53 50 47 46 49 57 68 78 88 95 92 93 94 91 82 70 55 32 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 6 5 5 8 5 2 0 0 2 5 7 10 13 17 19 18 16 14 12 12 10 5 3 12
7 6 5 4 4 8 14 18 26 35 44 51 53 50 44 40 39 43 49 56 65 76 78 83 86 84 73 63 48 27 11 3 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 2 1 3 3 2 0 0 0 1 3 6 8 10 9 5 2 1 0 2 2 0 0 5
1 1 1 1 1 4 8 10 18 28 40 50 53 50 42 35 32 32 35 37 42 53 62 68 71 67 59 50 36 18 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 1 0 0 0 0 0 0 0 0 0 1 3 4 5 3 1 0 0 0 0 0 0 0 0
0 0 0 0 0 2 4 6 11 20 32 43 50 49 41 32 27 25 25 26 28 38 48 52 50 44 39 32 20 9 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 1 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 1 2 4 7 13 22 32 40 42 38 30 24 22 21 21 22 30 38 38 34 30 27 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 1 2 4 6 8 13 20 26 28 29 28 24 22 22 21 21 27 32 32 29 25 19 12 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 1
0 0 0 0 0 0 2 5 6 6 8 11 15 16 20 24 24 23 24 23 24 29 33 33 30 23 15 11 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 1 2 4 8
0 0 0 0 0 1 2 6 6 6 6 8 10 12 15 19 20 21 21 20 23 30 35 35 28 18 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 6 12 17 21
0 0 0 0 1 2 3 5 6 5 5 6 8 10 13 15 16 16 16 16 18 27 34 34 26 16 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 8 19 31 41 45
0 0 0 0 1 2 3 4 5 4 4 6 8 11 13 13 13 13 13 13 15 22 28 29 24 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 19 35 52 66 71
0 0 0 0 0 1 2 3 3 3 3 4 9 16 21 17 13 12 12 13 15 18 22 24 23 18 11 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 1 3 12 25 41 59 75 83
0 0 0 0 0 0 0 1 0 0 1 2 6 14 22 21 16 13 13 15 17 18 19 20 20 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 33 50 68 80
0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 16 16 15 16 17 20 20 19 18 17 13 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 21 36 51 68 80
0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 13 14 16 17 20 20 19 16 14 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 25 45 64 78 85 92
0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 11 12 14 16 17 16 13 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 29 52 76 94 101 103 107
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 10 11 12 12 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 22 37 55 75 93 102 108 113 114
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 8 8 8 8 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 26 39 51 62 74 83 87 89 95 98 96
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 7 6 5 5 4 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 2 12 33 57 65 69 73 75 74 70 73 80 82 77
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 5 4 4 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 1 10 29 54 67 70 73 71 65 56 53 62 74 79 74
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 5 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 33 44 48 58 65 59 40 22 23 37 52 59 58
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 6 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 1 7 16 22 22 24 35 40 32 15 5 1 9 21 30 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 10 11 13 14 12 6 2 0 0 2 6 12 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 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 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 9 7 4 1 0 0 0 0 0 2 4 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 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 1 4 8 11 8 4 1 0 0 0 0 0 0 0 0 5
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 8 5 2 0 0 0 0 0 0 0 0 0 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 1 2 2 1 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19
0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 31
0 0 2 3 4 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 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 17 34
0 2 4 6 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 20 34
1 4 7 9 9 8 7 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 2 7 12 17 24 37
2 6 9 10 10 10 10 9 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 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 2 9 18 23 26 32 42
3 6 9 11 11 12 13 14 14 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 3 2 1 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 0 0 0 3 17 26 32 35 40 48
4 7 9 10 12 14 19 23 23 18 10 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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 4 20 30 37 41 45 50
6 8 9 11 14 21 30 33 29 20 12 7 5 3 2 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 2 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 2 10 27 41 50 51 48 49
6 9 12 15 21 30 38 37 30 21 13 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 0 0 0 0 0 1 4 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 0 0 0 0 1 4 18 39 56 64 60 53 54
7 10 14 18 25 34 38 33 26 18 12 8 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 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 0 0 3 9 26 49 69 78 76 69 70
7 11 15 20 25 30 30 26 20 14 10 7 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 0 0 0 0 0 0 0 0 0 0 1 5 14 33 55 73 84 89 88 91
8 12 16 19 22 24 22 18 13 9 7 5 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 0 0 0 0 0 0 0 0 2 8 20 36 54 73 88 99 105 111
8 12 15 17 18 18 16 12 8 5 3 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 0 0 0 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 27 43 60 77 93 105 112 121
8 11 14 16 16 17 15 11 6 3 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 2 7 19 34 50 66 83 97 108 114 122
8 12 14 16 17 17 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 29 42 56 71 88 100 108 115 120
9 13 16 18 18 17 14 11 8 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 0 0 0 0 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 20 35 43 50 59 71 86 96 104 112 120
10 14 16 16 16 16 15 14 11 9 6 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 0 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 12 25 40 48 54 62 71 82 90 98 107 121