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 8 9 9 9 9 11 11 9 7 7 8 7 6 7 5 5 8 9 8 9 9 10 10 9 8 7 8 7 8 8 8 6 6 6 7 8 9 8 8 8 7 7 7 8 7 7 9 9 7 5 6 7 8 9 9 8 8 9 10 9 9 7 7 7 8 8 7 6 7 7 8 8 nan
nan 7 6 5 5 4 3 5 7 8 8 8 8 9 10 9 8 7 7 7 7 7 6 6 7 7 7 8 9 10 10 8 7 8 9 8 9 9 7 6 5 6 7 9 9 9 9 9 7 7 8 7 7 7 8 9 7 6 7 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 7 7 7 8 8 8 nan
nan 7 6 6 6 5 3 3 6 7 8 8 8 7 8 8 8 8 7 7 8 9 9 8 8 7 7 7 9 10 9 8 8 9 10 10 10 9 6 5 5 6 8 8 7 8 10 9 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 9 8 7 7 7 7 7 8 8 8 8 nan
nan 8 6 6 6 6 5 4 5 8 9 8 7 7 7 7 8 7 8 7 8 10 10 9 9 8 8 8 8 9 10 10 11 11 11 11 10 8 5 4 3 7 9 7 7 8 10 10 9 7 8 8 10 10 9 8 7 7 8 9 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 nan
nan 9 8 7 6 5 5 5 5 8 8 8 7 7 7 6 6 7 8 9 8 9 10 10 10 9 7 8 7 8 10 12 13 12 12 11 9 8 5 3 3 6 7 6 8 9 10 9 9 7 7 9 11 12 10 8 7 7 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 nan
nan 8 8 7 7 6 5 4 6 7 8 8 8 7 7 7 6 6 8 10 9 9 9 8 9 9 7 7 8 9 11 12 14 13 12 10 8 6 6 5 5 5 5 5 7 8 9 9 9 8 6 7 10 12 11 9 7 8 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 8 7 nan
nan 8 8 8 7 7 6 4 5 7 8 8 8 7 8 9 8 6 7 9 9 8 8 7 8 9 7 7 9 9 10 13 14 13 11 9 7 6 6 7 7 5 4 5 6 6 7 9 10 8 6 7 9 10 11 9 8 10 10 9 10 10 11 11 11 10 9 9 9 9 9 8 8 9 9 9 9 8 7 7 nan
nan 8 9 9 8 8 7 6 5 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 8 10 10 11 13 14 12 10 8 8 7 7 7 7 6 5 5 6 6 7 9 9 6 5 8 9 10 11 10 9 10 11 9 8 11 12 12 13 11 10 8 8 8 8 8 9 9 8 9 9 8 8 8 nan
nan 9 8 8 8 9 8 8 6 6 6 6 7 8 9 8 10 11 10 9 7 7 8 8 7 7 7 9 9 10 11 12 13 12 10 9 9 9 8 7 8 8 7 6 6 8 8 8 6 3 4 8 10 10 10 9 9 10 10 9 8 10 10 11 13 12 11 9 8 8 8 9 9 9 8 8 9 9 8 7 nan
nan 8 7 7 8 8 8 8 7 6 5 6 7 8 8 8 9 10 11 10 8 7 7 7 7 7 8 10 10 10 9 10 10 11 11 8 9 10 10 8 8 9 9 8 8 9 8 6 6 4 4 6 9 10 9 9 8 10 9 8 9 9 9 10 11 12 11 10 9 8 9 9 8 8 9 9 9 9 9 9 nan
nan 7 7 7 7 7 7 8 7 6 6 6 8 8 9 9 9 9 10 11 10 7 7 7 8 9 9 11 12 10 7 7 8 9 10 9 8 8 9 10 9 9 9 10 10 10 8 6 5 5 5 5 8 9 8 7 8 9 8 8 9 9 8 8 8 10 10 10 8 7 9 9 9 8 8 9 9 9 9 9 nan
nan 9 8 7 7 8 7 7 7 7 7 7 8 9 10 10 8 8 8 9 9 8 7 8 9 9 9 11 12 10 8 6 7 8 8 8 7 7 8 9 10 9 10 11 11 10 9 7 6 5 6 6 7 9 7 7 8 8 7 8 8 8 9 8 7 8 9 9 9 8 8 9 9 9 8 8 8 9 9 9 nan
nan 12 10 9 8 9 8 6 6 6 8 8 9 10 10 9 8 7 7 8 7 8 8 8 9 9 9 11 12 11 8 8 7 6 7 7 8 8 8 8 8 9 10 11 11 9 9 8 7 7 7 7 7 7 7 8 9 9 7 6 7 7 8 9 8 8 8 8 8 8 9 10 10 9 8 7 7 8 9 10 nan
nan 14 12 11 10 9 9 7 5 6 7 9 9 10 11 9 7 7 7 7 7 8 9 8 8 8 8 10 11 11 9 8 7 7 6 7 8 9 9 8 8 9 10 11 11 9 8 8 8 8 8 8 7 7 7 8 9 9 7 6 5 5 8 10 9 8 7 6 6 6 7 9 10 10 9 7 6 7 9 10 nan
nan 13 13 13 12 11 10 9 7 6 6 8 9 10 11 10 8 7 7 7 8 9 9 8 8 7 7 7 9 11 11 9 8 8 7 7 8 8 9 8 8 9 11 11 11 10 9 8 8 8 9 8 8 7 8 9 9 9 8 6 4 4 7 9 9 8 7 6 6 6 7 8 8 9 8 8 8 7 9 9 nan
nan 10 11 12 13 13 11 10 8 7 6 7 8 9 10 10 8 8 8 7 8 10 10 9 8 7 7 6 6 8 10 10 8 9 9 9 8 8 8 8 8 8 10 11 11 10 9 8 6 8 10 10 9 8 9 9 9 8 8 8 6 5 6 8 8 8 7 6 6 7 8 8 8 8 8 8 7 7 8 9 nan
nan 9 9 9 11 13 13 11 8 7 6 6 7 8 8 9 9 9 9 7 8 11 11 9 8 8 8 7 6 6 7 8 9 10 10 10 9 9 9 9 8 7 9 9 9 10 10 8 5 8 11 10 8 8 10 10 9 8 8 9 8 7 6 7 8 8 8 7 6 7 8 9 8 8 8 8 7 7 8 8 nan
nan 9 8 8 9 12 13 12 9 7 7 8 7 7 7 9 9 9 9 9 9 11 11 9 8 8 8 8 8 7 5 5 8 10 11 11 10 9 8 8 8 8 9 9 8 10 10 9 7 8 9 8 7 7 8 10 10 10 9 9 9 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 nan
nan 10 9 8 9 11 12 12 10 8 8 9 9 7 8 8 9 9 9 9 10 11 10 9 8 8 8 8 8 7 6 5 6 9 11 12 11 9 8 8 8 8 9 10 9 9 9 9 8 8 8 7 7 6 7 9 11 12 11 9 8 8 8 8 8 9 10 11 10 9 10 9 10 10 9 8 8 8 9 9 nan
nan 10 10 9 9 10 11 10 10 9 8 9 9 8 9 9 9 9 10 10 9 10 11 10 9 8 8 8 8 7 7 7 6 7 9 11 11 10 8 8 8 8 9 10 10 10 10 9 9 8 8 7 7 6 6 8 11 12 11 10 9 9 8 9 9 8 10 11 11 11 10 9 10 10 10 9 8 9 10 10 nan
nan 9 9 9 9 9 9 9 8 9 9 10 9 9 9 10 10 10 10 10 9 8 8 11 10 8 8 8 7 7 8 8 7 6 7 9 10 9 9 9 9 8 9 10 10 10 10 9 9 8 7 8 7 6 6 8 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 nan
nan 9 9 9 10 9 9 8 7 7 9 10 10 9 9 10 11 10 10 9 9 8 7 10 11 10 9 8 7 6 7 8 8 7 6 7 10 10 8 8 9 9 8 9 10 10 10 10 10 9 7 7 7 7 8 8 9 8 8 9 9 8 9 9 9 8 7 7 7 7 8 9 9 9 10 10 10 9 10 10 nan
nan 10 10 9 9 9 9 8 6 6 7 8 9 8 9 11 11 11 10 9 9 10 8 9 11 11 10 8 7 6 7 9 9 9 8 7 9 9 8 8 8 9 9 9 10 9 9 10 10 9 8 8 8 7 8 8 8 8 9 9 9 8 8 9 8 7 6 6 6 6 8 8 8 7 8 10 10 9 8 8 nan
nan 10 10 9 9 10 10 8 7 8 7 7 7 8 9 10 11 10 10 10 10 9 9 8 10 10 9 9 8 8 7 8 10 9 9 8 9 8 7 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 7 8 8 8 9 9 9 10 10 9 7 7 7 6 6 6 8 10 9 7 5 8 11 10 8 8 nan
nan 10 11 10 10 10 10 8 8 10 9 9 8 8 9 9 9 9 10 10 10 9 8 10 10 9 8 8 9 8 8 9 9 9 9 9 8 8 8 8 7 7 8 9 9 10 11 10 9 9 9 9 9 8 6 7 7 7 8 9 9 10 10 9 8 8 8 7 7 7 8 10 11 9 5 5 8 11 11 10 nan
nan 10 12 11 11 10 10 9 8 9 10 10 9 9 10 9 9 9 10 10 9 9 8 9 10 9 9 9 9 9 8 8 9 9 10 10 9 10 9 9 8 8 9 9 9 10 11 11 9 9 8 9 9 8 8 8 7 7 7 7 8 8 8 8 7 9 9 9 8 8 9 10 11 12 11 8 9 11 12 12 nan
nan 9 12 13 13 12 12 11 9 9 10 10 9 10 10 11 11 10 9 9 9 10 9 8 8 8 8 9 11 10 8 7 7 8 9 10 10 11 11 11 10 10 10 10 11 9 11 13 9 7 7 8 8 9 10 10 9 9 8 7 7 7 7 6 5 7 8 9 9 9 9 9 11 13 14 12 12 11 11 10 nan
nan 8 11 13 14 14 15 14 13 11 11 11 10 9 10 12 12 11 9 8 9 9 9 9 8 7 6 8 11 12 9 7 6 6 7 9 11 12 12 11 10 10 11 12 12 10 10 12 9 7 7 8 9 10 11 11 11 10 8 8 8 8 7 7 7 7 6 7 8 9 9 9 10 10 12 12 11 10 10 10 nan
nan 10 11 11 12 13 14 16 15 14 13 12 11 10 10 12 13 12 10 8 7 7 8 8 8 8 8 8 11 13 11 9 7 6 7 9 12 12 12 12 10 10 11 12 12 10 9 9 8 8 10 12 12 12 11 11 11 11 10 8 7 7 8 8 9 8 7 6 7 8 9 10 10 9 9 9 9 10 11 12 nan
nan 10 11 11 11 11 12 13 14 14 14 13 12 12 12 13 14 13 11 9 7 7 7 6 7 7 8 9 10 11 11 10 8 7 8 9 11 12 12 11 11 10 11 12 11 10 8 7 7 8 15 18 15 14 13 11 10 10 10 8 7 8 9 10 10 10 8 7 7 8 9 10 9 8 8 8 8 10 11 11 nan
nan 10 10 11 11 11 11 10 11 12 13 13 13 14 15 16 16 13 12 10 8 7 6 5 6 7 7 8 9 8 9 10 8 8 9 10 10 10 11 11 10 11 12 12 10 8 7 6 5 8 18 23 19 17 15 13 11 11 10 9 8 8 11 12 12 11 9 8 8 9 9 9 8 9 8 9 9 10 10 10 nan
nan 10 10 11 11 11 10 9 10 12 13 13 14 16 17 17 16 12 11 10 10 8 7 6 6 6 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 9 7 7 5 6 11 21 25 21 18 16 16 15 14 13 12 10 10 12 13 13 11 10 9 9 10 9 8 7 8 9 9 10 11 11 10 nan
nan 8 10 11 11 11 11 10 10 12 13 15 16 17 17 15 14 11 10 10 10 9 9 8 8 8 7 6 6 8 9 9 8 8 9 10 10 9 8 9 10 11 10 10 9 7 7 6 8 15 23 22 18 16 15 15 15 16 17 18 17 15 14 14 13 11 9 9 9 9 8 7 6 6 8 8 10 11 10 9 nan
nan 7 9 11 11 11 11 11 10 11 12 14 16 17 15 13 11 10 10 10 10 10 10 10 10 9 8 7 7 7 9 9 8 9 10 11 10 9 7 8 10 10 10 10 9 8 7 6 8 14 19 17 14 12 12 12 13 15 18 21 22 19 15 12 10 8 6 7 8 8 7 6 6 6 8 8 9 9 8 7 nan
nan 8 9 11 11 12 12 11 11 11 12 12 13 13 12 10 9 9 8 8 9 10 10 10 10 10 8 8 8 9 9 8 8 9 10 11 10 9 8 9 10 10 10 11 10 8 6 7 8 15 17 14 11 10 10 10 12 14 16 19 20 17 13 10 8 6 4 5 8 7 6 6 7 8 9 9 9 8 7 6 nan
nan 9 11 13 12 11 12 11 11 11 11 11 11 10 10 10 9 8 7 8 8 9 9 9 10 10 9 9 10 9 8 8 8 9 10 10 10 9 9 10 10 9 9 10 10 8 7 7 11 17 16 11 9 9 10 9 10 12 13 14 14 11 10 8 8 5 4 6 7 6 5 6 8 9 9 9 8 7 6 6 nan
nan 9 12 14 12 11 11 11 11 11 11 10 10 10 9 8 8 8 7 8 8 8 7 8 10 9 9 10 11 10 9 8 7 8 9 9 10 10 10 10 10 10 10 9 9 9 8 8 12 15 13 10 8 8 9 9 9 9 10 10 9 9 9 8 8 6 5 6 6 5 5 6 6 7 7 7 6 6 6 6 nan
nan 11 13 13 11 10 10 10 11 11 11 10 9 9 9 9 9 8 8 8 8 8 7 8 9 10 8 9 11 12 11 8 6 7 7 9 11 11 12 12 12 11 11 10 9 9 10 9 12 16 15 11 9 9 8 8 8 7 7 7 7 8 9 9 8 7 6 6 5 5 5 5 5 5 6 5 5 5 6 8 nan
nan 13 13 13 12 10 11 11 12 12 11 10 9 9 9 9 9 8 8 9 9 8 8 9 11 11 9 8 11 12 12 9 7 6 7 9 11 12 12 12 12 11 11 10 9 9 9 11 16 19 16 11 9 9 8 7 7 7 6 5 6 7 8 9 8 7 7 7 6 5 5 5 5 5 5 6 6 6 7 8 nan
nan 12 13 13 13 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 8 7 9 11 12 12 10 10 11 11 10 9 9 8 9 11 13 13 12 11 11 10 9 9 9 9 12 19 21 16 10 8 8 8 8 7 7 7 5 5 6 8 9 8 6 7 6 6 6 5 6 6 6 6 7 8 8 8 8 nan
nan 11 12 12 13 13 13 13 12 12 11 10 9 9 9 9 9 10 10 10 9 8 7 8 10 12 12 12 11 12 11 9 8 11 13 13 12 13 13 12 10 9 8 7 8 7 7 13 21 20 14 8 8 8 7 7 7 7 7 7 6 6 8 11 9 7 6 5 5 6 6 6 7 7 8 9 10 10 10 8 nan
nan 12 13 12 12 12 12 12 11 10 10 10 10 10 9 8 8 9 10 11 11 10 9 9 11 12 12 13 13 12 11 9 8 10 13 15 14 11 10 9 9 8 7 6 7 7 7 14 19 17 11 8 7 7 6 6 7 7 7 5 5 6 8 10 10 9 8 7 6 6 6 6 8 8 9 9 10 12 11 9 nan
nan 14 13 12 11 11 11 10 9 9 9 10 9 9 9 8 8 9 10 10 10 10 11 12 11 10 11 13 14 14 13 10 8 8 10 12 13 10 8 7 7 7 7 7 8 8 9 13 16 15 11 7 6 6 6 6 7 8 6 3 3 6 9 9 9 10 10 9 8 7 6 6 8 9 11 11 12 12 11 10 nan
nan 13 12 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 12 14 13 11 11 12 13 14 14 12 9 8 8 9 10 11 8 7 6 7 7 8 9 10 11 14 17 15 11 7 7 7 6 6 7 7 4 2 2 5 8 8 8 9 10 10 9 8 7 6 8 10 11 13 14 13 11 11 nan
nan 11 10 9 9 9 9 9 9 10 10 10 9 9 9 11 10 10 10 11 11 11 13 14 14 12 11 13 14 14 14 12 10 9 7 7 8 10 10 9 8 8 8 9 11 12 12 15 19 18 12 8 7 7 7 7 7 4 1 0 2 4 6 7 7 8 9 8 7 8 8 8 9 9 10 12 13 13 12 13 nan
nan 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 13 15 14 13 13 14 14 13 13 12 10 10 9 7 7 9 10 10 10 9 9 10 12 13 13 16 19 20 14 8 6 6 7 7 7 3 -0 -1 3 5 6 6 7 8 9 8 8 8 9 10 11 11 11 10 12 13 13 12 nan
nan 10 10 10 10 9 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 12 13 14 13 13 14 13 12 11 11 11 11 10 9 8 9 9 10 11 11 10 10 11 12 13 15 17 20 17 10 6 6 7 7 8 6 2 1 4 6 5 6 8 9 9 7 7 8 9 11 13 13 11 10 12 14 13 11 nan
nan 10 10 10 10 9 9 9 10 9 9 9 9 10 10 10 10 10 10 11 12 12 11 11 11 12 12 13 12 11 10 10 11 11 11 9 8 9 9 10 11 12 12 11 9 9 11 13 15 19 20 13 8 7 7 8 9 9 6 3 4 6 6 7 8 9 10 8 6 6 8 10 12 13 12 11 12 14 13 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 87 81 85 88 88 90 96 101 100 94 83 78 86 104 120 113 95 79 78 89 99 104 100 89 78 68 56 43 31 26 18 9 3 2 6 14 15 10 4 1 0 0 2 2 1 0 0 0 1 2 5 12 22 29 26 14 6 1 0 1 3 5 8 16 32 50 59 53 42 39 51 61 58 46 41 45 45 47 57 74
89 82 73 77 82 84 86 91 96 95 96 93 92 95 105 118 110 95 76 69 74 79 87 89 80 70 59 45 30 19 16 14 8 3 1 3 9 10 6 3 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 23 17 10 5 3 3 6 7 7 13 30 50 60 59 50 46 51 55 52 43 39 42 45 48 56 72
78 71 67 72 76 78 83 93 100 98 100 102 102 103 109 116 110 96 76 62 61 63 70 75 71 62 50 36 19 9 7 9 11 9 8 11 14 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 13 12 10 10 11 10 8 5 8 22 42 57 61 57 52 49 46 40 31 30 38 44 46 52 69
68 62 63 66 69 70 76 86 94 95 98 101 102 103 108 111 107 98 82 66 58 58 61 66 68 62 49 33 16 7 9 16 22 24 22 21 20 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 15 20 23 20 14 7 5 13 31 50 60 59 53 46 38 26 13 10 24 34 37 44 62
57 51 50 55 59 62 65 73 83 89 94 97 98 99 102 105 104 99 88 74 63 61 66 73 76 70 56 40 24 15 23 34 40 40 35 27 21 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 13 21 27 27 22 13 6 6 18 40 55 56 52 45 34 22 6 1 11 20 24 34 51
46 40 38 40 45 51 57 64 77 87 93 96 96 97 99 101 100 99 93 83 71 66 74 83 85 79 68 53 37 28 36 47 50 45 35 22 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 17 17 13 8 5 10 27 43 49 48 42 32 23 11 5 6 10 16 28 43
33 29 27 28 32 40 49 58 73 87 94 96 96 96 98 99 98 99 97 89 77 68 71 81 85 83 77 66 51 40 42 46 44 35 22 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 5 7 7 7 10 18 26 32 35 34 29 23 14 8 6 9 15 26 34
19 18 19 20 21 29 40 50 68 85 96 99 98 97 99 101 99 98 95 88 79 67 62 70 80 85 82 74 60 47 40 35 28 19 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 2 4 6 8 10 12 15 17 19 20 19 13 6 4 5 10 17 21
8 10 12 14 14 20 32 43 60 80 95 102 102 100 100 103 102 98 93 86 79 69 61 62 69 76 79 74 61 47 35 24 15 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 1 3 4 4 4 4 5 6 10 11 8 5 2 1 3 6 7
5 6 9 10 10 15 25 37 51 70 88 100 104 101 99 102 102 98 91 84 78 74 66 58 56 61 69 67 57 45 30 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 0 0 0 0 1 3 4 3 2 1 1 4 6 7 7 5 3 3 2 2
3 3 6 7 9 13 21 31 42 58 77 92 100 98 96 98 99 95 89 81 76 74 67 55 47 50 59 59 50 38 22 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 3 4 4 3 2 2 3 5 8 9 9 7 7 6 6
1 1 3 4 6 9 17 27 37 50 66 81 91 91 90 94 95 92 87 80 74 67 58 48 41 42 48 54 42 26 12 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 1 3 4 5 4 4 4 5 8 11 13 12 11 10 11 12
0 0 1 2 4 6 12 24 33 44 57 71 82 84 88 92 92 89 85 79 71 59 48 40 38 39 42 46 33 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 0 0 0 0 0 0 1 2 3 3 3 4 5 7 10 12 14 14 12 10 11 14
0 0 0 2 5 6 10 23 32 42 52 63 74 79 87 91 88 84 80 74 64 52 42 36 33 34 37 38 25 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 1 1 1 1 1 2 2 2 3 5 8 12 14 14 14 11 8 8 10
0 0 1 4 9 12 14 21 31 40 49 59 69 77 84 86 82 76 71 66 56 47 40 33 28 26 29 28 18 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 2 2 3 3 2 2 3 3 4 8 11 13 14 12 9 7 6 6 8
2 3 5 8 12 16 18 22 29 37 47 57 68 76 81 80 74 67 61 56 49 42 34 27 21 18 18 18 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 1 3 4 4 4 3 2 2 3 6 9 13 15 15 13 7 4 4 5 7
5 8 10 12 16 20 22 24 28 34 42 52 64 74 78 73 66 59 52 47 40 34 27 21 14 8 8 9 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 2 3 4 3 1 1 1 2 4 8 11 15 19 20 15 11 9 7 9
8 11 13 17 22 24 24 24 27 30 34 42 54 67 72 67 60 53 45 39 34 28 22 15 8 4 4 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 2 4 4 3 1 0 0 2 4 7 11 16 24 29 29 25 20 16 15
10 13 15 20 24 26 25 23 23 23 26 31 40 56 65 61 55 50 42 34 30 24 17 11 6 3 4 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 2 5 6 5 4 1 0 2 4 8 13 20 28 35 38 37 33 28 23
11 12 13 17 22 24 23 19 16 16 18 23 28 42 54 56 53 48 40 31 26 19 13 7 4 3 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 3 6 7 8 7 4 2 2 4 8 14 22 29 35 38 39 38 32 26
11 10 11 13 16 18 17 13 10 8 9 13 18 29 43 50 51 47 39 28 21 14 8 4 2 1 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 2 5 7 9 10 11 9 6 3 2 4 9 15 20 25 29 31 32 27 22
9 7 7 8 9 10 9 7 5 4 4 5 9 18 33 45 49 46 38 24 14 8 4 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 0 0 0 0 0 0 0 0 3 7 10 12 13 13 11 8 4 1 1 2 5 8 10 13 17 20 20 18
7 6 4 3 3 3 3 2 2 1 1 2 4 10 25 38 46 46 35 18 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 3 9 14 16 15 13 11 7 3 0 0 0 1 1 2 3 6 9 11 12
4 3 1 0 0 0 0 0 0 0 0 0 1 5 18 32 41 41 30 14 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 1 6 13 16 13 11 8 5 2 0 0 0 0 0 0 0 1 3 5 9
1 1 0 0 0 0 0 0 0 0 0 0 1 3 12 24 32 34 25 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 0 0 0 0 0 0 0 0 1 3 7 6 6 5 3 1 0 0 0 0 0 0 0 0 1 5 12
0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 16 24 28 21 10 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 1 1 0 0 0 0 0 0 0 0 2 3 8 16
0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 19 24 17 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 1 0 0 1 2 5 9 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 2 6 12 22
0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 4 10 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 2 4 6 4 2 4 10 21 38
2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 2 6 8 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 1 3 5 4 5 9 21 45 70
5 4 4 4 3 3 3 2 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 3 5 9 20 42 75 104
8 6 6 5 4 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 4 8 15 27 53 91 120
10 9 8 7 6 5 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 20 31 52 85 111
11 11 11 10 8 7 5 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 22 33 47 66 81
11 12 14 14 14 12 9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 9 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 3 10 23 36 46 54 61
10 12 16 20 21 19 15 12 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 15 18 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 3 10 24 37 47 57 65
10 13 20 27 29 24 18 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 19 23 25 22 11 2 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 5 1 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 24 34 45 58 72
12 18 31 38 35 26 16 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 29 31 31 30 24 13 4 1 0 0 0 0 0 0 0 0 0 0 0 2 7 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 15 21 28 39 53 66
18 30 43 46 37 24 15 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 28 36 39 38 33 24 12 3 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 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 11 17 21 28 40 52 60
28 42 51 49 37 23 16 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 25 35 41 42 36 24 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 0 0 0 0 0 0 0 0 0 0 4 11 19 24 31 41 54 64 66
35 48 54 50 38 26 19 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 8 16 22 29 36 39 33 20 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 2 6 16 28 37 43 51 63 77 85 80
35 45 50 45 34 26 19 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 21 26 31 31 25 13 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 1 8 20 37 53 62 68 75 85 96 100 89
34 44 43 34 22 16 12 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 18 25 27 23 16 8 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 2 7 19 35 55 73 85 92 97 104 113 109 93
38 44 36 23 13 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 8 11 16 22 23 19 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 0 0 0 2 7 16 30 48 69 90 106 116 120 124 130 121 101
41 35 24 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 8 13 19 22 22 16 8 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 1 5 15 26 40 62 87 106 124 137 144 145 144 136 117
30 20 11 5 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 18 18 14 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 2 9 21 33 51 77 108 127 144 156 161 157 150 142 131
13 8 4 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 6 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 1 11 24 40 62 93 124 145 159 167 169 159 152 142 130
6 5 4 3 2 1 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 0 0 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 16 33 53 77 104 130 146 157 165 163 154 149 139 121
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 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 22 40 62 88 112 125 133 141 152 150 143 138 128 109
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 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 23 40 63 91 108 112 117 127 138 137 130 121 109 94