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