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 6 5 4 5 6 7 8 9 9 9 8 9 11 11 9 6 6 8 8 8 9 5 5 7 8 8 10 11 12 11 9 8 7 7 6 7 9 8 7 6 6 7 6 6 6 6 6 8 8 9 8 8 8 11 10 7 5 6 7 9 9 9 8 8 9 10 10 9 8 8 8 9 10 9 7 7 7 8 8 nan
nan 6 6 5 4 4 4 6 8 8 9 9 8 9 10 10 7 6 7 7 8 9 7 6 7 7 7 8 10 11 10 8 7 7 7 7 8 9 8 7 7 7 7 7 6 6 6 5 5 6 7 8 8 8 10 11 8 6 6 8 9 9 9 8 8 8 10 10 9 8 8 8 9 9 9 8 8 8 8 8 nan
nan 7 6 6 6 5 3 4 6 7 8 9 9 8 8 9 9 7 6 6 8 10 9 8 8 7 7 8 9 9 9 7 6 7 8 9 9 9 8 8 8 9 9 7 7 7 7 5 3 4 6 7 8 8 9 10 8 7 8 10 11 10 9 8 9 9 10 11 10 9 8 8 7 8 8 7 8 9 9 9 nan
nan 8 7 6 6 6 5 4 5 8 9 9 8 7 8 9 9 8 7 7 7 9 9 8 8 8 8 8 9 8 8 8 7 7 8 9 10 9 6 6 7 10 10 8 8 8 8 6 4 4 6 6 6 7 8 7 7 8 10 12 11 9 8 9 9 9 9 10 11 11 10 10 8 7 7 7 8 8 8 9 nan
nan 8 8 8 6 6 6 5 6 8 9 9 9 8 8 8 8 8 8 8 7 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 6 5 6 9 10 9 9 9 9 7 6 6 6 6 7 7 6 5 6 8 11 12 9 8 8 9 9 9 8 9 10 11 10 10 10 8 8 7 8 9 8 9 nan
nan 8 9 9 7 6 5 4 5 7 9 9 8 8 8 8 7 6 8 9 8 8 8 8 10 10 7 6 7 8 9 10 10 10 12 11 9 9 8 6 7 7 8 9 10 10 9 8 7 7 6 6 7 7 6 5 6 9 12 12 8 7 9 10 9 8 9 9 9 10 10 9 10 10 9 8 8 9 8 8 nan
nan 8 9 9 9 8 7 4 4 7 8 9 8 8 8 8 8 7 8 9 9 8 8 8 9 9 7 7 8 9 9 10 11 11 12 12 9 7 7 7 7 7 7 8 9 10 8 8 8 8 7 7 8 7 6 7 6 9 10 9 8 9 10 10 9 8 8 9 9 10 9 8 8 10 10 9 9 9 8 8 nan
nan 9 9 9 9 9 8 5 5 6 6 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 10 11 12 13 12 10 8 6 6 7 7 7 7 8 9 8 7 8 8 7 8 7 7 7 7 6 8 9 7 8 10 11 11 10 9 8 8 9 9 9 8 8 9 8 9 10 8 8 8 nan
nan 9 9 8 8 9 9 7 6 5 5 6 7 7 8 8 9 10 10 8 7 7 8 9 8 7 8 8 8 7 7 8 11 14 14 12 10 10 9 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 7 7 7 8 7 7 9 10 11 10 9 9 9 8 8 9 8 8 9 8 9 9 10 9 8 nan
nan 8 7 7 7 8 8 8 6 5 5 5 7 7 7 7 8 9 10 9 8 7 8 7 7 8 8 9 8 6 6 7 10 14 13 10 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 8 7 6 8 7 7 8 9 9 10 10 9 9 9 8 8 9 9 9 9 9 10 11 11 11 10 nan
nan 8 7 7 7 6 6 8 7 5 5 6 8 7 6 7 7 7 8 10 9 8 7 7 8 9 8 9 10 8 7 7 10 12 10 8 8 7 8 9 10 10 9 8 9 9 8 8 7 6 7 6 8 10 8 7 8 9 8 8 9 9 8 8 9 9 9 8 7 7 8 9 9 8 8 9 11 11 11 11 nan
nan 9 8 7 7 7 6 8 7 6 7 7 8 9 7 7 7 6 7 9 9 8 8 8 8 9 8 8 11 10 9 8 9 10 9 8 6 6 7 9 10 10 9 9 8 9 10 9 7 6 7 6 7 9 8 7 8 9 9 9 9 8 8 7 8 9 9 8 7 6 6 8 8 7 8 7 8 10 9 10 nan
nan 11 10 9 8 9 8 7 6 6 8 9 8 9 9 8 7 7 7 8 8 8 9 8 8 7 7 9 11 11 10 10 10 9 8 6 6 7 9 10 9 8 8 10 9 8 9 9 8 8 7 7 7 8 7 8 9 10 9 8 8 7 8 8 9 9 8 8 7 6 7 8 8 7 6 5 5 7 8 8 nan
nan 14 12 11 9 10 10 7 6 6 7 9 9 10 10 9 8 7 8 8 8 9 9 8 7 6 5 8 11 12 12 12 11 9 7 6 6 9 11 10 8 7 8 10 10 9 9 10 9 9 8 7 6 6 7 9 10 10 9 8 7 6 8 9 9 8 8 7 6 6 7 8 9 8 7 5 4 5 6 7 nan
nan 13 13 13 12 11 10 8 7 7 6 7 8 10 11 10 8 8 9 8 9 10 10 8 6 6 6 6 9 12 13 12 11 9 7 7 8 10 11 11 9 8 8 10 11 11 10 10 10 9 9 8 7 7 7 9 9 8 8 8 7 6 8 10 9 9 8 6 6 6 7 8 8 8 8 6 5 5 6 6 nan
nan 11 11 11 13 13 11 9 7 6 6 5 7 8 9 9 9 9 8 7 8 10 10 9 8 7 7 6 6 8 12 12 11 10 9 9 9 10 11 10 8 8 8 9 10 11 11 10 9 10 10 9 8 8 9 9 8 8 8 8 8 8 9 11 11 10 8 5 5 7 8 9 8 8 8 7 6 6 7 7 nan
nan 9 9 9 11 13 13 10 7 6 6 6 6 6 8 9 9 9 9 6 6 9 9 9 8 8 8 8 6 6 7 10 11 11 11 10 10 10 10 10 8 7 8 9 10 11 11 10 7 9 11 10 8 9 11 10 8 7 7 8 9 10 10 11 11 11 9 7 6 7 9 10 9 9 9 9 8 7 8 9 nan
nan 9 8 8 9 11 12 11 8 6 6 7 7 6 7 9 10 9 9 7 7 9 9 9 8 8 8 9 8 7 6 6 7 10 11 11 11 10 9 9 8 8 8 10 10 10 10 9 7 7 10 9 9 9 9 10 8 8 7 8 9 10 10 10 11 11 11 9 7 8 9 10 9 9 9 8 8 8 9 9 nan
nan 9 8 8 9 11 12 11 9 8 8 9 8 8 8 9 9 9 8 8 8 10 10 9 9 8 8 8 9 8 6 4 5 7 9 11 12 11 9 8 8 7 9 11 11 10 9 8 7 7 8 10 9 9 9 9 9 8 7 7 8 9 9 9 10 10 11 11 10 11 11 11 10 9 8 7 7 7 9 10 nan
nan 9 8 8 8 10 11 10 10 9 8 9 9 9 10 10 9 8 8 8 8 9 10 11 10 9 8 8 9 9 8 5 4 5 7 9 11 11 9 9 8 7 9 10 11 10 9 8 7 7 8 9 10 9 9 9 8 7 7 7 8 8 8 8 9 9 9 12 13 13 13 12 11 10 8 6 5 6 8 9 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 7 8 9 9 9 12 12 9 8 8 8 8 8 7 5 4 5 7 10 10 9 9 8 8 8 9 10 11 9 8 8 7 8 9 9 9 9 10 9 7 7 7 8 8 8 8 8 8 9 11 13 14 14 12 11 11 9 7 6 6 7 8 nan
nan 9 9 9 9 9 9 8 7 7 8 9 8 8 10 11 11 9 8 9 10 9 8 11 12 10 8 8 7 7 7 8 7 6 5 6 9 9 8 9 9 8 9 9 9 10 9 9 10 9 8 9 8 8 9 9 9 8 7 7 7 8 8 9 9 9 10 11 11 12 13 13 11 9 9 8 7 7 8 9 nan
nan 10 9 9 9 10 9 8 7 7 7 8 7 7 9 11 12 11 9 10 11 11 10 10 10 10 10 9 8 7 7 8 8 8 7 7 8 8 7 8 9 9 9 9 9 8 8 9 10 10 9 9 8 7 8 8 8 8 8 7 7 7 7 9 10 10 10 10 9 10 12 13 11 8 8 8 8 8 8 9 nan
nan 10 10 9 9 10 9 8 8 8 7 7 6 7 8 8 10 11 10 10 11 12 10 9 9 9 10 10 9 8 7 8 8 8 9 10 9 8 6 7 9 9 9 9 8 9 9 9 9 10 10 10 9 7 6 7 7 6 8 9 8 9 8 7 9 9 9 8 8 8 11 13 13 10 8 9 9 8 7 8 nan
nan 11 11 10 10 10 9 7 8 9 9 9 8 7 7 7 7 10 11 11 10 10 9 9 10 9 8 9 10 8 7 8 9 9 10 11 9 8 7 8 8 8 8 8 8 9 10 9 9 10 11 11 10 8 6 6 6 4 6 9 9 10 9 8 8 8 8 7 7 7 8 11 14 13 10 10 11 10 9 8 nan
nan 11 13 12 11 10 10 8 7 9 9 10 10 10 9 8 8 9 11 11 11 9 8 9 10 9 9 9 9 7 7 8 10 9 10 12 11 10 10 10 10 9 9 8 9 9 10 10 9 10 10 11 10 9 8 8 7 5 6 8 8 9 9 8 7 8 9 8 7 7 7 8 12 14 12 11 12 12 11 10 nan
nan 10 13 14 13 12 12 11 9 9 9 9 10 10 11 10 9 10 11 10 10 10 10 9 9 8 9 10 11 9 6 7 8 9 10 12 12 11 11 12 13 12 11 9 9 9 10 12 10 9 9 10 10 10 10 10 9 7 7 7 8 7 7 7 6 7 8 8 7 7 7 8 10 12 13 12 12 12 11 10 nan
nan 9 12 13 14 14 14 14 12 10 11 10 9 9 10 11 11 11 11 9 8 9 10 10 9 9 10 10 12 11 8 7 7 8 10 11 11 11 12 12 13 13 11 10 10 9 10 13 11 8 9 10 10 11 11 11 11 10 8 7 7 7 6 7 6 6 6 6 6 7 7 8 9 10 11 11 11 10 9 8 nan
nan 9 10 12 13 14 14 14 14 13 12 12 11 10 9 10 12 12 11 9 7 7 8 10 10 10 11 11 12 14 12 9 8 8 9 10 11 11 12 12 12 12 11 11 10 9 10 11 9 9 11 12 12 11 11 11 12 13 11 9 7 7 6 7 7 7 6 6 6 7 8 9 9 9 9 8 8 8 8 8 nan
nan 10 9 10 11 12 12 12 13 14 13 12 12 11 11 11 12 13 13 10 7 6 7 9 10 10 10 10 11 12 13 11 9 9 8 9 11 10 11 12 12 12 12 12 10 9 9 8 7 9 15 17 14 12 11 10 10 11 11 8 8 8 9 8 8 7 7 7 7 7 7 9 10 10 8 7 7 7 8 9 nan
nan 10 10 10 10 11 11 10 11 12 12 12 12 12 12 13 14 15 14 11 9 7 7 7 8 8 7 8 9 9 11 10 9 8 9 9 9 9 10 11 11 12 12 12 10 9 8 6 5 7 18 21 16 14 14 13 11 10 9 7 7 9 10 10 10 9 9 9 7 7 7 8 10 11 9 8 8 8 9 10 nan
nan 9 10 10 10 11 11 10 10 11 12 12 12 12 12 13 15 16 15 13 11 10 9 8 8 7 6 5 7 8 9 9 8 7 8 8 9 9 9 9 10 11 12 12 11 9 8 6 4 9 18 22 19 17 16 16 14 12 9 8 7 7 8 10 11 11 11 10 8 7 6 8 10 11 11 9 8 9 10 11 nan
nan 8 10 11 11 11 10 9 10 10 11 12 13 13 13 15 17 17 16 14 13 12 11 10 9 8 7 5 5 7 9 9 8 7 7 8 8 9 9 9 10 11 12 13 11 10 9 7 8 13 19 21 19 18 16 15 15 14 13 11 9 8 8 9 11 12 12 11 10 8 7 8 10 11 10 9 9 9 9 9 nan
nan 7 9 10 10 10 10 9 9 9 10 11 13 14 15 16 18 18 15 14 13 12 12 12 10 9 8 7 6 8 9 9 8 7 8 9 9 9 9 9 10 11 12 13 12 9 8 8 10 17 20 18 16 14 14 13 13 14 15 16 14 12 11 11 12 12 11 10 11 9 8 7 8 9 9 8 9 9 9 8 nan
nan 8 9 9 9 9 10 10 9 9 10 11 12 14 16 15 15 14 13 12 11 10 11 11 10 9 8 8 9 9 9 9 8 8 9 9 9 10 10 10 11 12 12 13 13 10 8 8 10 18 21 16 13 12 11 11 12 14 16 18 18 16 15 14 13 11 10 9 9 8 8 7 7 8 8 8 9 9 8 7 nan
nan 9 10 10 8 9 11 11 10 11 11 12 14 14 14 14 12 10 10 9 8 9 9 10 9 9 10 9 9 10 9 9 8 8 8 8 8 9 10 12 12 12 12 13 12 10 9 9 12 20 20 14 12 11 11 11 11 13 14 15 15 15 15 14 13 10 9 8 7 7 7 7 7 7 7 8 8 8 7 6 nan
nan 8 10 11 10 10 12 12 12 13 13 13 13 13 13 12 10 9 8 8 7 7 6 8 9 10 9 10 10 10 9 9 9 9 8 7 7 8 9 11 12 11 11 11 10 10 9 9 13 17 15 11 10 11 11 11 11 12 12 12 11 11 13 13 11 9 7 7 7 7 7 6 6 6 7 8 7 6 6 6 nan
nan 9 10 10 11 12 12 12 13 14 13 12 12 11 11 10 9 8 7 8 8 7 7 7 9 9 9 9 10 10 9 9 9 9 8 7 7 9 10 10 10 10 10 9 9 8 9 9 13 15 14 11 9 9 10 10 10 10 10 9 8 8 10 10 9 9 7 7 7 7 7 6 6 6 6 7 6 5 6 7 nan
nan 10 12 12 12 12 11 12 13 13 13 11 10 10 9 9 9 8 7 8 9 8 7 8 10 11 9 8 9 10 11 10 9 9 8 8 9 10 10 10 10 10 10 9 8 8 8 10 15 17 14 10 8 8 8 8 8 8 8 6 5 5 6 8 8 9 9 9 8 7 6 6 6 6 6 6 6 6 7 8 nan
nan 10 12 13 13 12 11 11 12 12 11 10 10 9 8 8 9 9 8 8 8 7 7 8 10 11 11 9 10 11 12 12 11 11 9 8 10 11 12 11 10 9 9 9 9 8 8 10 18 20 15 9 7 8 7 7 7 7 7 5 3 3 5 7 8 9 9 9 9 8 7 6 6 6 6 6 6 7 8 8 nan
nan 11 12 13 14 12 11 12 12 12 11 10 9 9 9 8 9 9 10 10 9 7 7 8 9 10 10 10 11 13 14 13 14 15 13 11 11 12 13 12 11 10 9 8 8 8 7 13 20 20 14 8 8 8 6 6 6 6 5 5 3 2 4 8 10 10 9 7 8 9 8 7 7 7 8 8 8 8 8 9 nan
nan 13 13 13 14 13 12 13 13 12 11 10 9 9 9 8 8 9 10 10 10 9 8 8 10 9 8 8 10 12 13 13 14 15 16 15 14 13 12 11 11 10 9 7 8 8 7 14 20 17 12 8 7 7 7 6 6 5 4 3 1 2 6 9 11 11 10 9 8 8 8 8 8 8 8 9 9 9 10 11 nan
nan 14 15 14 14 13 13 12 12 11 11 10 9 9 9 8 8 8 8 9 10 9 10 11 10 10 9 7 8 10 11 10 10 13 15 16 16 14 12 10 9 9 8 7 7 8 8 14 17 15 11 8 6 7 7 6 6 6 4 1 1 4 8 8 8 9 10 10 11 10 8 8 8 8 8 9 10 10 11 11 nan
nan 14 14 13 12 12 11 10 10 11 11 10 9 9 9 8 8 8 8 9 8 8 10 12 11 10 10 8 8 8 9 9 9 11 13 15 16 15 12 9 8 7 7 7 7 9 11 14 17 15 11 8 7 7 7 7 7 7 4 3 2 4 7 7 7 8 10 11 11 11 8 7 8 8 8 10 12 11 11 11 nan
nan 14 13 12 10 10 9 9 9 10 11 9 9 9 8 8 9 8 8 9 8 8 11 12 12 11 10 10 9 9 10 10 9 11 11 12 12 12 11 9 8 7 7 7 8 10 12 16 18 16 11 8 7 7 7 8 8 6 3 2 3 4 5 5 6 7 9 10 9 10 9 8 7 7 8 10 12 12 11 11 nan
nan 14 12 11 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 11 13 13 12 11 11 12 11 11 11 12 13 11 10 9 9 9 9 10 8 8 8 10 12 14 17 19 18 12 7 8 8 8 8 8 5 2 2 4 5 5 5 6 8 8 9 8 8 8 9 8 8 8 8 11 12 12 14 nan
nan 12 11 10 10 9 9 9 9 9 8 7 8 8 9 10 9 9 9 9 10 10 11 13 14 15 14 14 13 12 12 12 13 15 13 10 8 8 8 9 11 11 10 10 12 13 14 16 19 18 15 9 8 8 9 9 8 6 2 2 4 6 5 6 7 9 9 7 8 8 8 9 11 10 9 8 10 12 13 15 nan
nan 10 10 10 10 8 9 9 9 8 7 7 8 9 10 10 10 10 9 10 12 12 12 13 14 15 15 15 13 13 12 12 13 13 13 11 9 9 10 10 11 13 13 10 10 11 12 13 16 18 16 12 10 10 10 10 8 6 4 0 1 5 6 6 7 9 11 9 8 7 7 10 12 12 11 10 10 11 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
77 79 85 89 84 79 79 88 98 96 84 69 61 68 90 118 117 97 79 77 90 104 106 97 89 81 70 54 36 19 10 3 0 0 0 2 7 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 5 14 23 38 55 69 72 64 58 65 79 86 77 57 45 42 45 53 66
71 72 73 75 74 72 74 81 90 92 88 76 65 65 80 110 113 96 76 72 84 96 97 92 84 78 69 55 37 22 13 5 1 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 2 10 19 32 49 66 72 63 55 60 72 80 73 54 42 37 38 45 58
62 62 64 62 63 66 73 82 88 91 93 85 74 69 80 105 108 92 72 64 73 82 84 84 78 71 62 48 29 14 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 0 3 8 19 35 52 62 58 51 51 57 61 54 40 34 32 32 36 49
52 53 53 51 52 58 67 76 80 85 89 87 81 78 86 102 104 92 73 61 61 65 68 70 68 62 51 35 16 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 2 7 18 33 46 47 42 38 36 33 24 15 15 19 23 26 36
42 41 37 36 40 48 56 63 70 78 84 86 84 84 91 104 105 94 77 61 54 53 56 60 60 54 41 23 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 0 0 0 0 1 4 12 27 32 30 24 19 14 5 2 3 8 13 17 26
33 29 22 21 27 36 46 53 63 75 83 86 86 86 92 102 106 99 84 66 53 49 52 55 54 48 36 17 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 11 18 18 14 9 5 2 0 1 3 7 13 24
22 20 14 11 16 27 38 45 56 72 82 85 85 86 89 97 102 102 92 75 57 48 50 52 51 45 34 16 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 3 6 7 6 3 2 1 0 0 2 7 16 27
9 11 8 6 10 20 30 37 50 70 82 87 86 86 86 91 95 97 92 80 65 51 49 52 53 49 37 20 7 1 0 0 0 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 1 1 1 1 0 0 0 0 1 5 17 26
2 4 5 5 7 14 23 28 43 66 83 90 90 88 87 88 89 90 89 82 70 55 48 49 51 47 38 24 10 2 0 1 2 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 0 0 0 9 15
0 2 4 5 7 12 18 23 35 57 77 89 92 90 89 89 88 88 86 81 73 59 47 40 38 36 33 23 11 4 1 1 2 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 2 4
0 1 3 5 8 11 14 18 28 46 67 83 90 90 88 88 88 87 84 79 72 61 46 33 26 25 26 18 10 4 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 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 12 16 22 36 54 72 84 85 84 84 85 85 82 76 67 59 46 33 23 20 19 18 13 7 2 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 1 2 4 8 14 17 27 42 60 76 80 79 78 78 79 79 73 64 56 49 40 29 20 15 21 20 14 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 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0
0 0 0 0 0 1 3 10 13 21 33 50 66 74 74 72 72 73 73 70 63 56 52 44 31 18 14 22 26 22 12 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 1 3 4 3 0 0 0 0 1 3 4 4 4 4 4 4
0 0 0 0 0 0 1 5 11 19 30 44 57 66 67 67 67 69 70 68 64 58 51 40 25 13 11 21 28 27 16 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 2 5 7 6 4 2 1 2 3 6 8 10 10 10 11 11
0 0 0 0 0 0 0 2 9 18 29 41 52 58 60 61 64 67 68 67 64 57 45 31 18 8 6 17 27 27 15 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 1 4 7 8 9 8 6 5 5 7 12 15 14 14 15 16 16
0 0 0 0 0 0 0 1 6 14 25 36 45 50 53 55 60 65 66 63 59 51 37 23 12 5 3 11 21 22 10 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 1 3 6 8 9 10 10 10 10 12 15 19 19 18 19 19 20
0 0 0 1 1 0 0 0 2 7 14 24 34 40 45 49 56 61 59 55 52 43 30 17 9 3 2 5 10 10 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 1 2 3 5 9 11 13 14 15 16 20 22 23 24 24 26
0 0 1 2 2 2 1 0 0 1 3 8 18 26 36 44 52 55 52 46 43 34 22 12 7 3 1 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 1 5 9 12 14 14 17 22 27 31 33 32 32
0 0 2 3 4 3 2 0 0 0 0 1 5 13 26 39 48 50 46 40 33 24 15 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 1 4 6 9 10 11 15 21 29 35 39 34 33
0 0 1 2 4 4 2 1 0 0 0 0 1 4 17 32 42 45 41 34 25 16 10 5 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 1 3 5 6 7 8 8 8 9 13 20 26 29 27 26
0 0 0 1 2 3 2 1 0 0 0 0 0 2 11 26 38 41 37 28 18 11 6 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 1 3 8 11 10 8 7 5 4 5 8 11 13 14 14
2 0 0 0 0 0 1 0 0 0 0 0 0 1 7 21 34 38 34 23 14 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 1 5 8 9 6 4 2 1 1 1 2 4 5 7
3 1 0 0 0 0 0 0 0 0 0 0 0 0 5 19 32 36 30 22 13 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 2 3 2 1 0 0 0 0 0 1 2 5
3 1 0 0 0 0 0 0 0 0 0 0 0 0 4 16 28 33 30 24 15 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 0 0 0 0 0 0 0 0 1 4
2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 12 23 31 32 27 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6
1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 27 33 30 22 11 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 0 2 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 20 30 30 22 11 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 0 1 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 24 26 20 10 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 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 18 20 15 7 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 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 14 10 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 0 0 0 0 0 0 0 0 3 15
1 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 1 4 9 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 0 0 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
4 4 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 2 7 8 5 1 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 19 41
8 7 6 6 5 5 4 2 1 1 0 0 0 0 0 0 0 2 7 7 3 0 0 0 1 2 2 4 9 13 12 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 0 0 0 1 1 1 1 0 0 0 0 0 0 1 3 6 15 31 51
9 10 9 8 7 6 4 3 2 2 1 0 0 0 0 0 2 5 8 6 3 1 0 1 2 3 5 9 17 24 24 20 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 0 1 2 4 4 4 2 1 0 0 0 0 2 7 14 25 39 52
10 11 12 11 9 7 6 4 3 2 2 2 1 1 2 3 5 7 7 5 2 1 0 0 1 3 8 16 25 31 32 29 21 13 7 2 0 0 0 0 0 0 0 0 0 0 1 2 4 6 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 6 3 2 0 0 0 0 2 8 18 30 40 48
10 12 13 13 12 11 9 7 6 7 8 9 6 5 4 4 5 6 5 3 1 0 0 0 1 5 14 27 34 37 38 37 33 26 16 7 2 0 0 0 0 0 0 0 0 1 5 12 18 15 4 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 6 5 3 2 0 0 0 0 1 6 18 29 40 50
9 12 14 15 17 19 17 16 16 18 19 17 11 7 4 3 2 2 1 1 0 0 0 0 2 10 24 38 43 44 45 46 47 39 26 12 3 0 0 0 0 0 0 0 0 5 14 26 35 19 7 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 3 3 2 0 0 0 0 1 6 18 31 46 61
10 12 16 21 28 32 30 28 27 27 25 19 12 6 2 1 0 0 0 0 0 0 0 0 5 16 33 45 49 48 48 50 53 45 29 14 3 0 0 0 0 0 0 0 4 11 20 28 36 19 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 2 10 23 38 55 73
12 17 24 33 42 46 42 36 31 28 23 15 7 2 0 0 0 0 0 0 0 0 0 1 9 22 37 48 52 50 46 43 42 35 22 10 2 0 0 0 0 0 0 2 6 10 15 21 24 12 4 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 49 66 82
19 27 36 46 53 54 45 37 31 25 19 9 3 0 0 0 0 0 0 0 0 0 0 4 13 26 38 46 49 49 46 40 34 23 13 7 4 4 2 0 0 0 1 3 4 6 8 10 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 28 44 62 79 93
28 37 48 58 61 56 45 36 29 22 14 6 2 0 0 0 0 0 0 0 0 0 1 6 14 26 35 38 44 49 52 53 48 33 20 13 13 11 6 2 0 0 1 1 2 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 3 13 27 42 57 72 89 106
36 46 58 64 63 53 43 34 25 17 10 4 1 0 0 0 0 0 0 0 0 0 1 5 11 18 24 29 37 45 53 60 57 44 33 27 24 16 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 1 4 15 33 50 65 77 89 103 116
42 52 61 63 56 44 36 26 18 10 5 2 1 0 0 0 0 0 0 0 0 0 1 3 5 7 11 17 25 34 42 48 46 38 30 23 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 0 0 0 2 9 31 59 80 94 104 113 120 125
46 54 57 52 43 32 24 16 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 10 16 21 24 27 26 21 15 11 8 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 0 0 0 0 2 9 33 64 93 115 127 132 134 131
49 51 46 37 28 19 13 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 14 16 14 10 7 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 0 0 0 0 0 0 2 9 30 59 90 117 134 138 135 128
47 42 32 23 15 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 10 15 12 8 4 1 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 1 10 30 56 85 112 130 136 130 118
37 28 18 11 6 3 1 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 1 2 6 8 10 10 11 14 10 5 2 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 2 13 37 64 90 114 131 137 131 116
22 14 8 3 1 0 0 0 0 0 0 0 1 1 2 3 4 4 3 2 1 0 1 3 6 8 9 11 11 10 12 8 4 1 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 2 9 29 54 78 100 123 135 138 132 121
9 5 2 0 0 0 0 0 0 1 2 2 3 4 4 4 4 2 1 0 1 2 3 4 6 7 9 10 10 8 6 3 1 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 4 14 35 58 75 89 102 120 130 131 127 122