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