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 8 7 6 6 7 8 8 9 9 10 10 10 11 11 9 7 7 8 8 7 7 5 5 8 9 10 10 10 11 11 11 10 10 10 8 8 7 6 6 6 7 7 7 8 8 8 8 8 8 7 6 6 6 8 7 6 7 7 8 9 9 9 8 8 8 8 7 7 6 7 8 10 11 11 11 11 11 10 9 nan
nan 8 8 7 7 7 5 7 8 8 9 9 8 9 10 9 8 7 8 8 9 9 7 7 7 8 9 9 11 11 11 11 10 10 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 6 6 7 8 7 7 8 9 9 9 9 8 8 8 8 7 8 8 7 8 9 10 10 11 10 10 10 9 nan
nan 8 8 9 9 7 5 5 7 8 8 8 8 8 9 9 9 8 9 9 10 11 10 10 9 9 8 9 10 12 11 11 11 11 10 9 9 8 6 6 7 8 8 8 8 9 8 8 8 8 7 7 6 5 6 7 8 8 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 nan
nan 9 8 9 9 8 6 6 7 9 10 10 9 9 9 10 9 9 10 10 11 12 12 11 10 9 9 9 9 10 11 11 12 13 12 10 9 7 6 6 6 8 9 9 9 9 9 8 8 8 8 7 6 6 6 7 8 8 8 9 8 9 9 9 9 9 9 8 8 9 8 9 8 8 7 7 7 7 7 7 nan
nan 9 9 9 10 8 7 7 8 10 11 11 10 10 10 10 9 10 11 11 11 11 11 10 10 9 9 9 9 9 10 12 13 13 12 10 9 8 7 7 7 7 8 9 9 9 9 8 9 9 9 8 7 7 7 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 nan
nan 9 9 9 10 10 8 7 8 10 11 11 10 10 11 11 9 9 10 11 11 10 9 9 10 10 10 10 10 10 10 12 14 13 11 9 8 7 8 9 8 7 7 8 9 9 8 8 8 8 8 9 9 8 7 6 6 8 8 8 8 8 9 9 9 10 9 9 8 7 8 7 7 7 6 6 6 6 6 6 nan
nan 10 10 10 10 10 9 7 8 10 10 11 10 10 11 12 10 9 9 10 10 10 9 9 10 10 10 11 11 11 11 12 12 12 10 9 7 6 7 8 8 8 8 8 8 8 8 9 8 8 8 9 9 10 9 7 6 7 7 8 8 9 10 10 10 9 9 8 8 8 8 7 7 7 7 6 6 6 6 5 nan
nan 11 10 11 11 10 10 9 9 9 9 9 10 11 12 12 12 11 10 11 11 10 10 10 10 10 10 11 12 12 13 13 11 10 9 8 7 6 6 7 9 9 8 9 8 8 8 8 8 7 6 7 9 10 10 9 7 7 7 7 8 9 10 10 10 9 9 8 8 8 7 7 8 8 7 7 7 7 7 6 nan
nan 11 11 11 11 11 10 9 9 8 8 9 10 11 13 13 12 12 12 12 11 10 10 10 10 10 11 13 14 13 12 12 11 10 9 8 7 6 6 7 9 10 10 9 9 9 9 9 8 6 5 5 7 9 9 8 7 8 7 7 7 8 9 10 10 10 9 8 8 8 8 7 8 8 8 8 8 8 8 8 nan
nan 11 11 10 10 10 10 10 9 9 9 8 10 11 12 12 12 12 12 11 11 10 10 10 11 11 12 13 13 12 10 9 9 10 9 9 8 7 7 7 9 11 11 10 10 9 10 9 8 6 5 4 5 7 8 7 7 7 6 7 8 7 8 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 9 10 nan
nan 10 10 9 9 9 10 9 9 9 9 9 10 11 12 12 10 10 10 10 10 11 11 13 13 13 12 12 11 9 8 8 8 8 9 9 8 7 7 8 10 12 12 11 10 9 9 9 8 7 6 4 4 6 7 7 7 6 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 nan
nan 9 10 9 9 9 9 9 9 10 10 9 10 12 13 11 8 8 9 10 11 12 14 15 14 12 11 11 10 9 8 8 9 9 9 9 9 8 6 7 9 11 11 11 10 10 10 10 9 7 6 5 4 6 7 8 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 10 11 11 11 nan
nan 10 10 10 10 11 11 9 8 9 10 10 12 14 13 9 7 8 10 11 12 13 14 13 12 11 11 11 12 11 11 12 12 10 9 9 9 8 7 7 8 9 9 9 9 9 10 10 9 8 7 6 5 6 7 7 8 8 8 7 8 8 9 10 10 9 9 8 8 8 8 9 9 8 8 8 9 10 11 11 nan
nan 10 10 12 13 14 14 12 10 10 10 12 13 14 11 8 7 8 9 11 13 13 12 11 10 10 10 11 13 14 15 15 14 12 11 11 10 10 9 9 9 10 10 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 7 7 8 9 9 9 8 8 9 9 9 9 9 9 9 9 8 9 10 11 nan
nan 9 8 10 12 13 14 14 12 11 11 12 13 12 10 7 7 7 8 10 11 12 11 10 10 10 9 10 12 15 16 16 15 14 13 13 12 11 10 10 11 11 10 9 9 9 9 9 9 8 7 6 6 6 6 7 8 8 8 7 6 6 6 8 8 8 8 8 9 9 9 9 9 9 10 10 9 10 11 10 nan
nan 8 6 6 8 10 10 11 11 11 11 11 11 10 8 7 6 7 7 8 10 10 9 9 10 9 9 9 10 12 14 15 15 14 14 13 13 12 11 10 10 10 10 10 10 10 10 9 9 8 7 7 6 6 7 7 8 8 7 7 6 5 5 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 8 7 8 9 9 9 9 10 11 11 10 10 8 6 6 6 7 7 8 8 7 8 9 10 9 9 9 10 11 13 14 14 13 12 11 11 11 10 10 10 11 11 10 10 9 9 8 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 7 8 9 9 9 10 10 10 10 10 10 10 11 11 11 10 nan
nan 10 10 10 10 11 10 9 9 10 11 12 11 10 8 6 7 7 8 7 8 8 8 8 9 10 10 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 6 7 7 7 6 7 8 8 8 7 7 7 7 8 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 11 10 11 12 12 12 12 11 12 12 12 12 10 8 7 7 7 8 9 9 11 11 10 10 10 10 10 9 8 8 7 8 9 9 9 10 10 10 10 11 11 10 10 10 9 8 7 7 7 8 7 7 6 6 6 7 8 7 7 8 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 9 9 nan
nan 11 11 11 13 13 14 14 13 13 12 12 11 8 6 6 6 7 9 10 10 11 12 12 12 12 11 10 9 8 8 9 9 9 9 10 11 11 11 10 11 11 11 11 10 9 8 8 8 8 8 9 8 7 7 6 7 8 7 8 9 10 11 11 12 11 11 10 10 10 9 9 8 8 8 8 8 9 9 8 nan
nan 10 12 12 14 14 14 15 14 15 15 13 9 4 3 5 8 10 10 10 10 9 10 12 13 12 10 9 9 9 10 10 10 9 9 11 12 13 12 11 11 11 11 10 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 12 12 11 10 10 10 9 10 9 9 9 8 8 8 7 7 8 8 nan
nan 11 13 14 15 15 15 15 16 16 15 11 5 3 6 9 9 9 9 8 8 8 9 11 10 9 9 9 8 9 11 11 10 9 8 10 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 7 8 7 6 6 7 nan
nan 13 14 14 15 15 15 15 15 15 12 9 7 10 12 12 9 7 5 6 6 7 8 9 9 8 8 8 8 9 10 11 10 9 8 8 10 12 11 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 8 8 8 9 9 10 9 8 8 8 9 8 7 7 8 nan
nan 14 14 14 14 14 14 14 15 13 10 8 10 13 14 11 9 6 6 5 4 5 7 8 9 9 8 8 8 8 9 9 9 9 9 7 8 11 12 11 11 12 12 11 11 11 11 11 9 9 9 9 9 8 9 9 10 9 10 11 10 9 9 9 8 9 9 9 8 9 9 9 9 8 8 9 9 8 9 9 nan
nan 14 14 14 14 14 13 12 13 11 8 7 8 10 10 8 6 5 5 4 4 5 6 7 8 8 6 6 7 7 7 7 8 9 10 8 8 11 13 12 11 12 12 11 11 11 12 11 9 9 8 8 9 9 8 8 9 8 9 10 10 10 10 9 9 10 9 9 8 7 7 8 9 9 8 8 9 9 9 9 nan
nan 14 15 14 14 13 12 12 11 10 7 6 6 7 7 6 5 4 3 3 3 5 6 6 6 5 4 4 5 7 7 7 7 8 8 8 7 9 11 11 11 12 13 13 12 12 12 11 9 8 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 9 8 8 8 7 7 8 8 9 9 8 9 9 10 9 nan
nan 14 14 14 14 13 12 12 11 10 7 5 6 6 6 6 5 4 2 1 2 4 6 5 5 3 3 3 5 7 6 7 7 7 7 6 6 7 8 8 9 12 13 13 11 10 11 10 8 7 6 7 8 8 8 8 9 9 9 8 9 9 9 9 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 nan
nan 14 13 14 15 15 14 13 12 9 7 6 5 5 5 5 5 3 2 2 3 5 5 6 5 3 2 3 7 8 8 7 7 7 7 7 8 8 7 7 9 11 12 11 10 7 8 9 8 7 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 7 8 9 9 9 9 9 9 9 9 9 8 8 nan
nan 14 13 14 15 15 14 13 11 9 7 6 5 4 4 4 4 4 3 4 5 5 5 6 5 3 2 2 4 7 9 8 8 8 9 11 10 9 9 9 10 10 9 9 8 7 6 7 8 9 11 13 15 16 16 12 10 10 11 12 11 10 9 9 10 10 10 10 9 9 9 8 8 8 9 9 10 10 9 9 nan
nan 13 13 13 13 12 11 11 9 8 7 5 5 5 5 4 3 3 4 5 6 7 7 6 4 3 2 2 2 3 6 8 9 9 10 11 11 10 10 10 10 9 8 7 7 6 6 7 9 10 13 16 16 16 14 11 8 7 9 12 12 11 9 8 9 10 11 11 10 9 8 7 6 6 9 10 12 12 11 11 nan
nan 11 12 11 10 10 10 9 8 7 6 6 6 6 5 5 4 4 4 6 7 8 8 6 4 3 4 3 3 2 4 8 10 10 10 10 10 10 10 9 8 8 7 6 6 6 6 7 8 12 17 18 15 12 10 9 7 5 6 7 9 11 10 10 9 9 9 11 10 8 7 6 6 8 9 10 11 12 12 11 nan
nan 11 11 10 10 10 10 9 8 8 7 7 7 7 6 5 5 5 5 7 8 7 7 6 5 5 5 5 5 5 5 9 12 12 11 9 8 8 9 9 7 6 6 6 5 5 6 7 9 14 19 19 13 9 8 8 8 7 7 6 6 7 8 8 8 8 8 9 9 8 6 6 6 8 9 9 9 10 10 9 nan
nan 11 10 10 10 10 10 10 10 10 9 8 8 7 6 4 4 6 6 6 6 5 5 6 6 7 6 6 5 7 9 11 13 12 10 9 7 7 7 8 7 6 5 6 6 6 7 8 11 16 18 16 12 9 9 10 11 11 11 10 9 7 5 5 6 7 8 9 9 8 8 7 7 8 9 8 8 9 9 9 nan
nan 10 10 9 9 9 10 10 11 11 9 8 8 8 7 6 5 5 6 6 5 6 5 6 7 7 7 7 7 8 9 11 13 12 9 8 6 5 4 6 7 7 6 7 7 9 9 10 13 17 18 14 11 10 12 13 14 14 14 14 13 10 7 5 5 6 8 9 10 10 10 10 10 10 10 9 8 8 10 10 nan
nan 9 9 9 9 9 9 10 10 11 9 8 8 9 9 8 7 6 5 5 6 6 7 7 7 7 7 7 8 9 9 10 11 10 8 6 5 5 5 5 7 7 7 8 10 10 11 11 13 18 20 15 11 10 12 13 13 12 11 11 11 10 10 10 10 10 10 11 11 12 12 13 12 11 10 10 9 9 9 10 nan
nan 9 9 9 9 8 8 8 9 10 9 8 8 9 9 9 8 6 6 6 7 7 8 8 7 7 6 8 9 9 9 8 7 7 6 5 4 4 5 6 7 8 8 10 11 10 9 9 11 17 18 13 9 8 9 9 8 8 8 7 5 6 10 13 15 15 14 13 13 13 13 13 12 11 11 11 10 10 10 10 nan
nan 9 9 9 9 9 9 8 9 9 9 8 8 8 9 8 7 6 5 6 7 7 7 7 7 7 6 6 7 8 7 6 5 5 5 5 5 5 6 7 8 8 9 10 9 8 8 6 10 14 13 10 7 6 6 6 7 7 7 6 2 3 9 14 17 18 17 15 14 14 13 12 12 11 11 10 10 10 10 11 nan
nan 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 7 7 5 6 7 6 5 5 6 6 6 5 4 4 5 5 6 6 6 8 9 9 9 10 9 8 7 7 11 14 13 10 7 7 7 7 8 9 10 9 3 2 9 15 18 19 17 15 14 14 13 11 10 10 10 9 10 10 12 13 nan
nan 8 8 8 9 10 10 10 10 10 10 8 9 9 8 8 7 6 6 6 8 6 5 6 7 7 6 6 7 7 7 6 5 5 5 5 7 8 8 9 10 10 10 10 11 10 9 10 15 17 15 11 9 9 10 10 11 12 13 10 6 5 9 14 16 16 15 14 13 12 11 10 9 9 9 10 10 11 12 13 nan
nan 8 8 8 9 9 10 10 10 10 10 9 9 10 9 9 8 7 7 8 8 6 5 6 8 9 9 9 8 9 8 7 7 7 7 6 8 10 11 11 10 10 10 11 11 12 11 13 18 19 15 11 9 11 12 13 13 14 14 9 5 6 10 13 12 12 11 11 11 10 10 9 8 9 9 10 11 12 11 11 nan
nan 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 6 5 7 8 8 9 9 10 10 9 7 8 9 9 8 9 10 11 11 11 10 10 11 11 11 11 13 18 18 14 10 9 11 13 14 15 15 13 8 4 4 9 12 10 9 9 8 9 9 8 8 8 9 9 10 10 11 11 10 nan
nan 8 8 8 9 10 10 11 11 9 9 9 9 9 9 8 9 10 11 11 10 8 7 8 8 8 8 9 9 9 9 9 8 9 10 11 11 12 11 11 11 10 10 9 10 10 10 12 14 14 11 10 9 11 13 14 14 14 10 4 1 4 9 11 10 8 8 8 8 8 8 8 9 9 9 8 9 10 10 10 nan
nan 7 7 8 9 10 10 10 9 9 8 7 7 8 8 8 9 10 10 10 10 10 9 10 10 9 8 8 9 9 9 9 8 9 11 12 14 14 13 11 10 9 9 8 7 7 8 10 10 10 10 10 10 11 12 14 14 12 5 -2 -1 5 10 10 9 8 9 9 8 7 7 8 10 10 10 9 9 10 11 12 nan
nan 8 7 7 8 8 9 9 8 9 9 7 7 7 8 8 9 10 10 10 10 9 10 12 12 9 9 9 9 9 9 9 9 10 11 12 15 15 14 12 10 8 8 8 7 6 7 9 10 11 11 10 10 10 11 12 13 10 2 -3 -0 6 10 9 8 8 8 8 8 8 8 9 11 11 11 12 13 12 13 14 nan
nan 8 7 7 7 7 8 8 8 9 9 8 7 7 8 9 10 10 10 11 10 10 11 13 13 11 10 10 11 11 11 11 11 12 12 13 13 13 13 12 10 9 8 8 8 8 8 10 12 13 12 11 11 10 10 10 10 7 1 -1 1 6 8 8 8 8 8 8 9 10 11 12 12 11 12 14 16 16 15 16 nan
nan 8 8 8 8 7 8 8 9 9 9 8 8 7 9 10 11 10 11 11 11 11 12 13 13 12 12 12 13 13 14 13 13 13 14 14 13 13 12 11 11 10 9 10 11 10 10 11 13 15 13 11 10 9 9 9 10 7 2 1 4 7 7 8 8 9 10 9 10 11 12 12 13 12 12 14 16 17 15 16 nan
nan 8 8 7 8 8 8 9 10 10 9 8 9 10 11 12 11 10 10 11 11 11 12 13 13 13 13 14 14 14 14 14 14 14 14 13 12 11 11 11 11 11 11 11 14 14 12 12 13 15 15 12 10 9 9 10 11 9 4 1 4 7 7 8 8 10 10 10 11 12 13 14 15 13 12 12 13 14 13 13 nan
nan 9 9 8 8 8 9 9 10 10 9 9 10 11 12 12 11 10 10 10 11 11 11 11 12 12 13 14 15 14 14 14 14 14 14 13 11 11 11 11 12 12 11 11 15 16 14 13 12 14 16 15 11 8 9 12 14 12 9 6 6 8 7 8 9 11 12 12 11 12 11 13 15 14 12 11 11 11 10 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
94 94 94 98 100 100 99 100 100 97 92 88 89 86 74 67 67 69 70 76 82 80 76 74 66 54 39 23 10 2 0 0 1 3 7 8 7 7 5 3 2 2 0 6 14 19 22 22 17 11 6 2 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 24 41 53 60 66 70 72
85 84 85 88 93 95 96 95 94 90 88 83 78 73 67 66 63 68 69 73 82 80 76 77 71 58 40 21 8 1 0 0 0 2 3 3 1 1 0 0 0 0 0 4 11 18 22 23 20 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 25 45 56 64 70 74 77
74 74 79 81 85 89 92 94 91 86 86 82 77 73 68 67 63 68 69 72 79 79 75 73 68 55 37 19 7 3 1 0 0 0 1 0 0 0 0 0 0 0 0 2 7 12 16 18 19 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 29 48 65 73 77 80 83
65 65 70 71 74 76 79 80 77 75 76 74 71 69 68 68 67 70 73 75 79 78 73 69 62 50 33 16 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 41 53 67 76 79 82 84
58 55 55 57 59 62 63 63 63 64 67 68 68 67 68 70 70 71 72 73 76 75 69 64 57 45 28 11 3 1 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 5 23 37 52 68 77 79 78 78
52 46 43 42 44 48 52 54 56 61 64 66 66 66 67 70 70 68 67 66 66 68 61 56 47 36 22 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 2 14 23 39 56 66 72 74 73
47 40 35 34 34 38 45 50 54 60 64 66 66 64 64 65 65 63 59 55 54 58 51 45 37 27 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 8 22 37 50 62 65 62
41 36 32 30 29 32 40 46 54 60 65 66 66 64 61 61 58 54 48 42 42 45 40 35 29 19 10 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 3 2 0 0 0 3 14 26 31 33 41 37
38 33 30 29 28 31 37 44 54 60 64 66 65 63 59 56 49 42 36 32 31 32 30 26 20 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 11 14 12 0 0 0 0 10 23 25 22 20 14
37 32 29 27 27 30 35 42 49 54 59 63 63 61 57 50 41 32 26 22 21 22 20 17 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 17 20 23 24 20 4 1 0 1 6 11 8 9 9 5
35 30 28 26 26 27 30 34 40 46 51 54 56 54 51 43 33 23 17 14 12 13 11 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 29 32 31 27 23 12 8 8 9 8 4 0 1 0 0
29 26 24 24 22 22 22 25 30 36 41 45 47 45 40 33 23 14 8 5 4 4 4 3 1 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 0 0 2 1 0 0 0 0 0 0 0 0 1 3 11 23 33 37 34 28 23 17 10 9 10 8 4 0 0 0 0
22 19 18 18 16 15 15 18 22 27 32 36 38 37 32 22 12 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 1 1 1 0 0 2 2 1 0 0 0 0 0 0 1 2 5 12 21 29 33 31 25 21 17 8 3 2 0 0 0 0 0 0
16 13 12 12 12 12 12 13 16 21 26 29 30 30 22 12 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 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 2 3 2 2 4 6 12 17 21 24 25 22 19 18 11 4 1 0 0 0 0 0 0
15 11 10 9 9 10 11 12 14 17 21 24 22 20 11 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 0 0 0 0 0 1 3 4 3 2 0 0 0 0 1 1 2 4 7 9 7 4 5 8 12 16 17 19 21 21 20 16 9 3 0 0 0 0 0 0 0
16 13 11 9 8 9 9 10 12 13 16 17 15 9 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 0 0 0 0 0 2 4 6 8 7 5 1 0 0 0 2 4 4 6 12 16 15 9 8 9 12 13 14 14 16 17 17 12 6 0 0 0 0 0 0 0 0
18 16 12 10 8 8 8 8 9 10 10 10 7 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 3 8 11 13 13 8 2 0 0 1 3 6 7 7 13 19 19 13 10 9 9 8 7 8 10 12 13 11 7 0 0 0 0 0 0 0 0
18 16 12 10 9 8 7 5 5 5 5 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 2 9 13 14 13 9 3 1 0 1 4 8 9 10 11 12 11 8 7 6 5 4 3 2 4 6 9 9 8 4 1 0 0 0 0 0 0
16 14 12 10 9 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 4 7 8 8 6 3 1 0 0 2 5 9 10 8 6 4 4 3 3 2 2 1 0 0 2 4 5 6 6 3 1 0 0 0 2 4
14 12 10 8 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 1 2 2 1 1 0 0 0 0 2 5 6 4 2 2 3 3 2 1 1 1 0 0 1 1 2 2 3 2 2 4 6 8 9 13
12 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 1 2 1 1 2 2 2 2 2 1 0 1 2 1 1 0 1 2 4 6 8 11 14 17 20
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 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 3 2 1 2 3 4 3 2 3 5 7 9 10 13 17 22 24
10 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 0 0 0 0 0 0 0 0 0 2 3 5 7 8 7 6 4 2 1 2 5 7 7 6 6 8 10 12 14 17 20 22 23
9 5 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 1 3 8 14 17 14 11 8 5 1 0 0 2 6 7 8 9 10 13 17 21 23 24 24 24
7 4 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 1 3 10 21 25 20 14 9 5 2 0 0 1 2 4 6 9 13 19 27 30 29 28 26 24
6 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 0 0 0 0 0 0 0 0 0 2 8 18 22 21 16 10 5 2 1 0 1 2 3 7 11 17 27 41 46 44 41 37 32
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 3 8 11 15 17 17 14 10 6 3 2 2 2 6 11 19 28 37 47 56 61 63 62 59
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 1 5 11 12 12 13 14 15 13 9 6 3 3 5 12 22 36 49 56 59 65 73 79 79 76
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 4 10 14 14 12 13 14 12 9 6 3 4 10 23 39 56 71 77 76 77 79 80 79 79
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 15 15 14 12 10 7 6 9 22 41 61 76 88 97 97 93 87 81 77 77
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 16 18 19 17 15 13 14 21 38 59 80 95 100 105 109 110 104 94 85 82
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 8 16 23 27 27 24 24 34 44 59 72 81 88 94 104 114 118 114 104 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 0 0 0 1 4 6 6 3 0 0 0 2 6 15 25 35 39 39 42 57 72 83 86 85 88 102 116 124 125 118 104 89 75
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 2 5 9 11 10 6 1 0 1 3 7 13 24 35 44 52 63 83 95 99 96 93 98 112 121 124 123 118 101 84 71
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 27 27 21 17 15 13 11 6 2 1 3 6 10 13 20 28 37 50 68 90 105 109 105 101 104 113 118 117 114 109 97 86 75
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 34 45 50 47 33 24 17 12 10 7 5 5 8 11 12 14 16 20 25 34 55 79 96 104 104 101 103 107 107 104 100 98 93 87 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 36 53 62 61 50 37 26 18 12 10 9 10 11 12 12 12 12 14 16 18 23 43 65 82 90 93 93 93 91 89 87 90 91 90 85 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 43 60 68 67 51 38 28 20 14 10 10 10 10 10 9 7 8 11 14 16 24 39 54 66 74 78 78 75 72 71 73 77 82 84 82 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 44 59 65 66 49 34 24 18 12 8 6 4 4 3 2 2 4 9 14 20 31 41 50 57 63 64 62 59 58 58 58 59 67 75 79 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 44 56 61 54 36 22 14 11 7 3 1 1 0 0 0 0 4 10 18 27 34 40 45 49 52 52 49 46 44 44 42 45 54 65 73 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 1 6 17 28 39 46 46 34 17 7 4 4 2 0 0 0 0 0 0 2 9 17 26 32 36 38 38 40 40 37 31 26 24 28 35 45 55 62 63 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 1 2 2 2 5 15 22 24 25 24 21 14 5 1 0 1 0 0 0 0 0 0 1 5 14 25 32 34 34 33 32 30 26 19 12 8 9 21 37 50 56 55 48 39
0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 13 19 24 21 14 9 6 3 0 0 0 0 0 0 0 0 0 0 0 1 9 20 30 32 31 29 27 23 17 11 5 2 2 5 23 40 51 51 43 34 27
0 0 0 0 0 0 0 0 0 0 0 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 13 16 19 23 19 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20 27 26 24 20 16 10 5 2 0 0 1 7 27 41 46 43 37 30 24
0 0 0 0 0 0 0 0 0 0 0 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 10 13 13 10 8 4 2 0 0 0 1 2 1 0 0 0 1 0 0 0 0 0 2 7 12 14 13 12 9 6 2 0 0 0 1 4 16 31 41 42 38 31 26 21
0 0 0 0 0 0 0 0 0 0 0 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 7 7 5 3 1 0 0 0 0 0 3 13 12 3 0 2 2 2 0 0 0 0 0 2 3 4 3 2 2 1 0 0 0 1 4 12 24 33 37 34 27 21 16 13
0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 0 0 0 0 0 0 1 1 7 33 37 11 3 4 4 3 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 5 11 18 22 22 20 16 12 9 6 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 2 7 11 8 20 48 56 25 6 5 4 2 0 0 0 0 1 2 2 2 1 1 1 2 3 6 9 12 14 15 13 10 6 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 20 28 29 45 63 64 35 8 2 1 1 0 0 0 0 1 4 6 8 8 8 8 8 9 10 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 29 37 48 66 77 70 38 9 1 0 0 0 0 0 0 1 4 10 14 17 18 18 14 12 10 8 6 5 4 3 1 0 0 0 0 0 0