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 6 5 5 6 7 8 9 9 9 9 10 10 11 9 6 6 9 7 9 10 6 5 7 7 8 10 10 10 11 10 10 10 10 10 10 9 8 7 7 8 8 8 8 8 8 7 8 8 9 8 8 8 8 9 7 6 6 7 10 11 9 8 8 9 10 9 8 8 8 8 9 9 9 8 8 9 9 8 nan
nan 4 5 6 5 4 4 6 8 8 8 10 9 9 9 9 7 6 8 8 9 11 9 7 7 7 7 9 10 10 10 10 9 9 10 9 9 9 8 8 8 8 8 9 9 9 8 7 6 7 8 8 8 8 9 9 7 6 6 7 9 10 9 8 7 8 10 10 8 7 6 6 7 9 10 9 8 9 9 9 nan
nan 5 5 5 5 5 4 4 6 7 8 9 9 7 7 8 8 7 7 7 8 10 11 10 9 8 7 8 9 9 9 8 8 9 9 9 10 10 9 7 8 9 10 9 9 9 8 6 6 6 7 7 8 8 9 9 7 6 7 9 10 9 8 8 8 8 9 10 9 8 6 6 5 8 8 8 9 9 8 8 nan
nan 7 7 5 5 5 5 4 5 7 9 9 8 6 7 8 9 8 7 7 7 9 10 10 9 9 8 9 9 8 8 8 7 8 9 10 10 9 7 6 7 10 11 9 8 8 8 8 6 6 6 7 8 9 9 8 6 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 7 6 7 7 8 9 9 9 nan
nan 9 8 7 5 5 5 5 5 7 9 9 8 8 7 8 8 8 9 8 7 8 9 8 9 8 8 9 10 9 7 8 8 8 10 10 10 9 6 5 7 9 10 10 10 9 9 8 6 6 6 7 8 8 8 7 6 7 9 10 8 6 7 8 8 9 9 8 8 9 9 9 10 9 8 8 8 9 9 9 nan
nan 8 9 8 6 5 5 4 5 7 8 8 9 8 8 8 7 6 8 9 8 8 7 7 8 8 8 8 10 10 9 9 8 9 11 11 9 8 7 6 7 8 9 10 10 10 9 8 7 7 6 7 8 8 7 6 6 7 10 11 8 6 7 8 8 9 8 8 8 9 9 9 10 11 10 9 9 10 9 8 nan
nan 9 9 9 8 7 6 4 4 7 7 8 8 8 8 8 7 7 7 8 9 9 8 7 7 7 7 8 10 10 10 10 9 9 11 11 9 7 7 8 8 8 8 9 9 10 9 8 8 8 7 7 8 7 7 7 6 7 9 9 9 9 9 9 9 9 8 8 9 9 9 8 9 10 10 9 10 9 10 9 nan
nan 9 9 9 9 9 8 6 5 6 6 7 8 8 9 8 8 8 8 7 8 10 9 8 8 7 7 8 9 10 10 11 11 11 12 11 10 9 8 7 7 7 6 7 9 10 9 8 7 7 7 8 7 7 7 7 6 8 9 7 7 10 11 10 10 9 8 8 9 10 10 8 8 9 8 9 10 9 10 10 nan
nan 8 9 9 8 9 9 7 6 6 6 6 7 8 9 8 8 9 8 8 7 8 9 9 9 8 8 8 8 9 9 10 11 12 13 13 12 12 10 7 6 6 6 7 8 9 9 8 7 6 7 8 8 8 8 7 6 7 8 7 7 8 10 10 10 10 9 8 9 10 10 8 8 8 8 9 10 10 9 9 nan
nan 7 7 7 8 8 7 7 7 6 6 6 7 7 8 7 8 8 9 8 7 7 8 9 9 10 9 11 10 8 7 7 8 11 14 14 13 12 11 9 7 8 8 8 9 9 8 8 7 7 7 7 8 8 8 7 6 7 8 8 8 8 9 9 9 10 9 9 8 8 9 9 8 8 9 10 10 11 10 9 nan
nan 7 5 7 7 7 5 7 7 6 6 7 8 8 7 7 7 7 8 9 8 7 7 8 9 11 9 10 12 9 7 5 6 9 12 13 12 10 10 9 10 10 9 9 9 8 8 7 8 7 7 7 8 9 7 7 7 8 9 9 10 9 9 8 8 9 9 8 8 7 8 9 9 9 9 9 10 10 10 9 nan
nan 9 7 7 8 7 6 7 7 6 7 8 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 11 10 8 6 6 8 10 11 10 8 8 9 10 10 10 10 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 10 10 9 9 9 8 8 9 8 7 6 7 8 9 9 9 8 9 9 9 8 nan
nan 12 10 9 8 8 8 7 7 7 8 9 9 8 9 8 6 6 6 6 7 8 8 8 8 7 7 9 10 10 9 8 7 8 8 9 9 9 9 9 9 9 10 10 8 7 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 9 10 9 9 8 8 7 7 8 9 9 9 9 8 7 8 8 8 nan
nan 14 13 11 9 10 10 7 6 7 7 9 9 9 10 8 6 5 5 6 7 8 9 8 7 6 6 8 10 10 9 9 9 9 9 8 9 10 11 10 9 8 9 10 9 7 7 8 9 8 9 8 8 8 8 9 9 9 8 8 7 7 8 10 10 9 8 7 7 7 7 8 9 9 8 8 7 7 7 8 nan
nan 13 13 12 12 11 10 8 7 6 6 7 8 9 11 10 7 5 5 6 8 10 10 9 8 8 6 7 8 10 10 9 10 11 10 9 10 11 11 10 9 9 9 10 9 9 8 8 8 9 9 9 8 8 9 9 9 9 8 8 7 6 7 10 10 9 8 7 7 7 7 7 7 8 9 8 7 6 7 8 nan
nan 11 11 11 12 12 11 9 7 6 5 6 7 8 10 10 8 7 6 5 7 11 11 10 9 9 8 6 5 7 10 10 10 11 11 10 10 11 11 10 9 9 9 10 10 9 8 8 8 9 9 9 9 9 10 10 9 9 9 8 8 7 7 9 10 9 8 7 7 8 9 9 8 8 9 8 8 7 7 7 nan
nan 9 9 9 11 13 13 10 7 6 5 6 7 6 7 9 9 8 8 6 7 10 10 9 9 9 9 9 7 6 7 10 11 12 11 10 10 11 12 11 9 9 10 10 10 10 10 9 8 9 10 9 8 9 11 11 9 9 9 10 9 7 7 8 9 10 10 8 7 8 9 9 9 9 8 8 8 8 8 9 nan
nan 9 9 9 10 12 13 11 8 6 7 8 8 6 6 8 9 9 9 8 8 10 10 10 9 8 8 9 9 7 5 7 10 11 11 10 10 11 11 11 9 8 10 10 10 10 10 9 8 8 10 9 9 9 10 10 10 10 10 10 9 8 7 8 9 10 11 11 8 7 8 9 9 9 9 9 8 8 8 9 nan
nan 8 9 9 10 12 12 11 9 7 7 9 9 7 7 8 8 8 7 8 9 11 11 10 10 8 7 8 9 8 6 5 7 9 10 10 10 10 10 10 9 8 9 10 10 11 10 9 8 8 9 9 9 9 9 10 11 10 10 9 9 8 8 8 9 10 12 13 11 9 9 9 9 9 9 8 8 8 9 10 nan
nan 8 8 9 9 11 11 10 9 8 8 9 9 8 9 9 9 7 7 8 9 10 11 12 10 9 8 8 9 9 7 5 5 6 8 9 10 10 9 9 9 8 9 10 10 10 10 10 9 9 9 9 10 9 10 10 10 10 9 8 8 8 8 8 9 9 10 12 12 11 10 10 10 9 9 7 6 7 8 9 nan
nan 8 8 8 9 10 10 9 8 8 9 9 9 9 9 10 9 8 7 8 9 10 10 13 12 9 8 8 8 8 8 8 7 5 5 7 9 10 10 10 9 9 8 9 10 10 9 10 11 9 9 9 10 10 10 11 10 9 7 7 8 7 8 8 9 9 9 9 10 10 10 10 10 10 8 8 7 7 7 7 nan
nan 8 8 8 9 9 9 8 7 7 8 9 8 8 9 11 10 8 7 9 10 9 9 11 12 10 9 8 8 6 6 9 9 8 6 6 8 10 9 10 10 9 8 8 9 9 9 11 11 10 9 9 9 10 10 10 9 8 7 7 7 8 9 9 9 9 9 8 8 8 9 10 9 9 8 8 8 7 6 6 nan
nan 9 8 7 8 9 9 8 7 7 7 7 6 7 9 10 11 10 8 9 11 11 10 10 10 10 10 9 8 7 7 7 9 9 9 8 8 8 7 9 10 9 9 8 8 8 9 9 10 11 10 9 8 8 9 8 8 7 7 8 9 9 10 9 8 8 8 8 7 7 8 9 9 8 9 9 9 7 5 6 nan
nan 9 9 8 8 10 9 8 8 8 7 8 6 5 7 8 9 10 10 10 11 11 10 10 9 9 9 10 10 9 8 8 9 10 10 10 9 7 6 8 9 9 9 9 8 8 8 8 9 10 10 10 8 7 6 6 7 6 7 9 10 10 10 9 7 7 8 7 7 8 9 9 9 8 9 10 10 7 5 4 nan
nan 10 10 9 9 10 10 8 8 9 9 9 8 7 7 6 6 9 11 11 11 11 10 10 10 9 9 9 10 9 9 10 10 9 11 11 10 8 6 7 8 8 8 8 8 8 8 8 8 9 9 11 10 7 5 6 6 6 7 10 11 10 10 9 7 7 8 9 9 9 9 9 9 8 7 9 10 9 8 6 nan
nan 11 13 11 10 10 9 8 7 8 9 10 10 9 8 7 6 8 10 11 11 11 10 9 10 10 10 10 9 7 9 11 12 11 12 13 11 9 9 8 9 8 8 8 8 8 9 8 8 9 9 10 10 8 6 6 6 7 8 9 10 9 9 8 7 8 9 10 9 8 8 8 8 8 9 9 9 9 9 9 nan
nan 11 14 14 13 11 11 10 9 9 10 10 9 10 10 9 8 9 10 10 10 11 10 10 10 9 10 11 10 7 6 8 11 12 12 12 12 11 11 11 11 12 11 9 9 8 10 11 9 8 8 9 10 9 8 7 7 7 7 8 8 8 8 7 8 9 10 9 8 7 7 7 8 9 10 11 10 9 8 9 nan
nan 10 13 14 14 13 13 12 11 10 11 10 8 8 9 10 10 10 9 8 7 9 11 11 11 10 11 12 12 11 7 6 8 10 10 11 11 11 11 12 12 13 11 10 9 8 10 12 10 8 8 10 11 12 12 10 8 7 6 6 7 8 8 9 9 11 10 8 6 7 7 8 8 8 9 10 10 9 7 7 nan
nan 9 12 14 14 13 13 12 12 11 11 10 10 8 8 9 11 11 10 8 6 6 9 11 11 11 11 13 14 14 12 9 8 9 10 10 10 11 11 12 12 12 10 10 9 8 10 11 9 9 12 15 15 14 13 10 9 8 7 6 8 9 9 10 11 11 10 7 6 8 9 9 8 6 5 6 7 7 7 7 nan
nan 10 11 12 13 13 12 11 11 11 11 10 10 10 10 9 10 12 11 9 6 6 8 10 10 10 10 12 13 13 14 12 10 10 10 9 10 11 12 12 12 12 10 10 8 8 8 8 8 11 18 21 17 14 11 9 6 6 8 9 10 10 10 10 10 10 9 8 8 9 9 9 7 5 4 4 5 6 8 10 nan
nan 9 10 12 13 14 13 11 10 10 10 10 10 10 11 11 12 13 13 10 8 7 7 8 8 8 8 9 11 11 11 12 11 11 10 9 9 10 11 12 12 12 11 10 8 8 7 6 7 12 23 23 16 12 10 9 6 5 8 10 11 11 11 10 9 8 8 9 9 8 8 8 7 7 6 6 5 7 9 11 nan
nan 7 9 11 13 13 12 11 10 11 10 10 10 10 11 11 12 12 12 11 10 10 8 7 7 7 7 6 8 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 9 8 6 5 7 15 22 20 14 11 10 9 9 8 8 9 10 10 10 10 9 7 7 8 8 8 6 6 7 7 8 7 7 6 9 11 nan
nan 7 9 11 12 12 11 10 10 11 10 10 11 11 12 13 13 11 10 11 12 12 11 10 9 8 6 5 6 8 10 9 9 8 8 9 9 9 10 10 10 11 10 10 9 8 7 6 10 17 20 16 12 10 10 10 10 10 10 9 11 10 9 9 8 7 6 7 8 7 6 5 5 6 6 6 6 7 10 11 nan
nan 7 8 10 11 11 11 10 10 10 9 10 11 12 13 13 13 12 11 12 12 12 12 13 12 9 8 7 6 7 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 7 7 8 11 17 18 14 12 11 11 12 12 11 11 11 12 11 8 7 7 6 6 7 8 7 7 6 6 7 7 5 6 10 14 15 nan
nan 8 8 9 9 9 11 11 10 10 9 10 11 13 14 13 12 12 12 12 12 12 12 13 13 11 9 9 10 10 8 7 8 10 11 11 11 11 11 9 9 9 9 11 10 7 7 8 11 19 22 16 13 13 13 14 13 12 12 12 11 9 8 7 7 7 7 7 8 7 7 7 7 7 8 9 11 15 18 18 nan
nan 9 9 9 8 9 11 11 10 10 10 11 12 13 14 13 12 12 12 11 11 11 10 11 12 11 11 10 11 11 9 6 6 9 11 11 11 12 11 10 9 9 9 10 10 9 9 10 13 21 22 18 14 14 15 14 13 13 12 11 8 7 7 8 9 8 7 8 8 8 8 8 8 8 8 11 16 18 18 16 nan
nan 9 9 10 9 9 11 10 11 11 11 10 11 12 12 12 12 12 12 12 11 9 8 9 11 10 10 11 10 10 9 7 6 7 8 9 11 12 11 9 9 9 9 8 9 10 10 10 15 21 20 17 15 14 15 14 14 13 11 8 6 6 8 11 11 9 7 8 8 9 10 10 9 9 9 11 14 14 13 12 nan
nan 9 9 10 10 10 11 11 11 12 12 11 10 10 11 11 12 12 13 13 12 9 7 9 12 11 9 10 10 10 10 8 6 6 6 8 10 11 10 9 9 8 8 9 9 9 10 10 15 22 21 18 15 13 14 14 13 11 9 6 6 7 9 10 11 9 9 9 9 9 10 10 9 8 9 10 10 10 9 8 nan
nan 10 10 11 11 10 11 11 11 11 12 11 10 10 10 11 12 13 13 12 11 10 9 10 12 11 10 10 10 11 11 10 8 7 7 8 11 11 9 9 9 8 9 10 9 9 9 11 19 24 23 18 14 13 13 12 11 9 7 4 5 6 7 7 7 9 11 11 9 9 9 8 8 8 9 9 9 8 7 7 nan
nan 10 10 11 12 11 11 10 11 11 11 11 10 10 10 11 12 13 13 10 9 9 9 10 11 10 10 11 12 13 12 12 11 10 8 9 12 13 11 10 9 8 10 11 10 9 9 12 22 26 24 17 14 13 12 10 8 6 4 3 4 6 6 6 7 9 10 10 10 9 8 7 7 8 9 9 9 8 8 8 nan
nan 9 10 11 11 11 10 11 10 11 11 11 11 10 10 11 11 11 11 10 10 9 7 8 9 9 9 12 14 14 13 11 11 12 12 11 12 13 12 12 10 10 11 12 11 9 9 15 24 26 22 17 14 12 10 8 6 4 2 3 3 3 5 8 9 9 9 9 8 9 8 8 8 9 9 8 8 8 9 10 nan
nan 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 9 10 10 10 11 9 7 7 9 10 9 10 12 13 12 9 9 11 13 13 12 12 12 12 12 14 14 13 11 10 11 15 19 21 19 16 14 11 8 6 4 3 1 -1 -1 2 6 8 9 9 9 9 8 8 8 9 9 9 8 8 8 9 10 10 nan
nan 10 11 10 11 11 11 10 10 10 11 11 10 9 9 9 8 8 9 9 9 9 9 10 10 11 11 10 10 11 11 9 9 10 12 12 13 14 14 14 14 15 15 14 13 11 13 13 11 13 15 15 13 10 9 7 5 4 1 -1 0 5 9 9 8 9 9 9 9 8 8 9 10 10 10 10 9 9 10 12 nan
nan 11 10 10 10 11 11 10 10 10 10 10 9 8 8 8 7 8 8 9 8 9 10 12 11 10 11 12 11 11 11 10 9 10 12 12 13 16 16 16 16 15 14 14 14 13 14 13 8 6 10 15 14 11 10 9 7 5 2 2 4 7 9 8 8 8 8 8 9 8 8 9 10 10 11 11 11 11 12 14 nan
nan 10 10 10 11 12 12 11 10 10 10 9 8 8 7 7 8 9 8 8 9 11 12 12 11 9 9 11 12 12 13 13 12 11 12 13 15 17 17 16 16 15 15 16 16 15 14 14 7 1 6 15 17 13 11 9 8 4 1 1 5 7 8 6 7 8 7 8 8 9 9 9 10 10 11 12 12 11 13 16 nan
nan 11 11 11 12 13 13 12 10 9 9 8 8 9 8 8 10 10 11 11 10 10 13 14 13 11 9 11 13 13 14 15 15 14 14 16 17 18 18 17 16 16 17 18 18 16 14 14 8 0 3 13 15 13 11 9 6 1 -0 2 5 8 8 6 6 8 7 7 8 9 10 11 11 11 11 11 12 11 12 15 nan
nan 12 14 14 14 13 12 12 10 9 10 9 9 10 10 9 9 12 15 17 14 11 12 13 15 15 13 14 14 14 14 16 17 17 17 17 17 17 18 19 18 18 20 20 19 15 13 13 9 3 3 8 11 11 10 8 5 3 2 1 5 9 8 7 7 8 8 8 8 9 10 11 12 12 11 11 11 11 11 13 nan
nan 14 15 15 14 12 11 11 11 11 11 11 11 10 10 9 8 11 15 19 18 13 11 10 13 15 16 16 15 14 14 15 16 16 16 16 15 15 16 17 18 19 20 19 15 11 11 12 10 6 4 6 9 9 9 7 6 5 2 0 4 8 8 7 7 8 9 8 8 8 9 10 11 12 11 11 10 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 87 87 89 87 83 82 84 85 74 54 39 35 35 32 25 23 28 28 28 29 31 34 45 57 70 80 80 70 63 70 82 94 106 118 125 109 79 54 37 27 20 12 9 6 4 2 1 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 2 7 8 6 5 9 20 27 29 33 36 35 27 18 11 17 32 44
86 79 75 77 78 77 74 72 75 76 65 49 38 34 30 25 23 31 34 37 45 50 50 51 54 63 72 76 73 71 79 89 98 106 114 119 103 77 53 36 26 17 10 7 6 5 3 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 3 11 16 14 9 7 10 13 19 29 39 44 36 24 19 22 29 40
75 68 65 64 66 68 66 64 66 73 72 59 43 33 27 21 17 21 24 31 45 59 64 64 62 63 67 70 70 73 81 92 99 102 104 107 96 73 50 32 20 10 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 17 18 14 8 5 4 8 18 33 49 54 48 40 36 37 41
63 59 54 50 51 53 54 52 53 62 68 61 47 33 24 18 14 13 14 19 31 48 62 72 77 76 72 68 64 65 75 87 96 98 96 93 85 67 46 27 13 4 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 16 13 7 3 1 2 7 16 35 56 66 64 56 49 44
48 46 38 32 33 36 39 40 42 51 58 57 47 34 25 20 16 12 10 11 18 30 48 68 83 88 80 68 58 54 60 72 84 90 88 80 73 60 41 21 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 8 3 1 0 0 1 3 14 32 46 53 52 46 40
31 30 23 17 16 21 26 30 34 41 48 49 44 36 29 24 19 16 12 10 12 19 30 47 65 76 76 65 53 44 45 53 61 69 73 66 61 50 33 16 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 2 5 4 1 0 0 0 0 0 7 15 20 22 24 26 26
15 17 14 9 7 10 15 19 23 29 35 38 38 35 31 26 21 18 16 14 14 17 18 23 33 45 55 56 50 42 39 38 38 41 49 50 48 40 26 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 2 2 1 0 0 0 0 1 5 9 10 10 8 12 17
4 8 9 7 4 3 5 8 12 18 25 30 33 34 32 26 20 17 16 18 21 23 18 14 14 20 29 39 45 43 38 29 20 17 25 32 34 28 17 6 1 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 0 0 0 0 1 3 4 5 7 14 22
1 3 6 5 2 1 1 2 5 10 16 23 28 30 30 24 18 13 13 18 25 32 30 22 13 9 11 23 37 44 40 27 12 4 11 18 19 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 15 28
0 1 4 4 2 0 0 0 1 3 7 13 20 25 26 22 16 11 9 12 22 35 40 34 20 9 6 14 32 44 43 28 10 4 11 15 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 10 7 3 1 0 0 1 0 0 0 0 0 0 0 0 1 8 18
0 1 3 3 2 1 0 0 0 0 2 6 12 18 22 22 18 12 8 8 13 24 34 36 28 17 10 13 32 46 45 27 8 6 18 18 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 12 8 5 4 4 4 2 1 0 0 0 0 0 0 0 1 4
0 0 2 3 2 1 0 0 0 0 1 3 7 12 18 22 20 15 9 6 6 10 17 26 30 26 15 17 32 41 37 21 6 9 18 18 11 4 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 6 10 10 8 8 9 11 10 7 4 3 2 1 0 0 0 0 0
0 0 1 2 2 1 0 1 0 0 0 2 6 9 14 18 19 16 11 7 4 3 7 16 25 26 18 20 26 29 24 13 4 5 10 11 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 1 2 2 4 6 7 9 12 17 21 21 18 15 11 6 2 0 0 0 0
0 0 0 0 1 0 0 1 0 0 0 2 5 7 9 11 12 12 11 8 4 2 4 10 16 18 16 16 18 17 14 8 2 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 1 1 1 1 2 4 7 11 17 24 29 30 29 25 19 9 4 1 0 0
0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 8 8 8 7 4 3 4 6 9 12 13 12 11 9 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 1 0 0 0 1 3 7 13 20 25 29 30 30 28 20 11 4 1 0
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 6 5 4 3 3 4 7 9 11 10 8 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 1 3 7 12 18 22 26 29 28 23 16 9 3 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 3 3 3 4 6 8 9 10 8 5 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 3 8 14 18 23 26 24 19 15 12 9 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 3 3 4 6 7 8 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 4 11 18 22 26 28 27 24 20 19 20 23
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 7 6 5 3 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 4 12 20 27 33 37 39 39 38 36 38 41
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 5 4 3 2 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 3 9 17 27 38 46 52 56 58 58 58 59
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 4 2 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 0 0 1 4 10 18 29 42 51 59 66 74 80 79 70
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 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 2 4 8 14 23 36 47 55 64 74 80 76 61
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 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 2 5 11 19 26 34 40 43 44 42 35
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 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 1 3 5 6 7 8 8 9 7 8
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 41
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 31 74
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 61 102
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 50 88 117
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 49 82 106 120
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 45 80 100 107 110
0 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 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 28 71 93 100 101 102
3 5 6 6 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 3 14 48 79 94 98 100 100
6 9 10 10 9 7 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 25 53 72 85 94 103 105
8 11 13 13 12 11 9 7 5 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 1 2 2 2 1 0 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 2 7 18 36 52 64 75 90 110 120
10 13 15 16 15 14 12 10 9 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 1 4 7 8 8 7 8 9 9 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 1 3 9 18 32 46 56 64 76 96 121 134
12 14 16 17 18 18 16 14 12 11 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 10 14 17 20 23 24 21 16 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 3 7 14 24 41 54 64 73 84 102 123 140
12 14 16 18 20 21 20 19 17 14 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 8 13 20 30 40 45 39 27 17 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 2 5 10 14 31 49 65 79 90 105 123 141
12 13 16 19 23 26 28 26 22 15 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 5 8 14 27 42 51 52 41 30 20 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 1 2 7 24 44 64 81 91 103 118 134
12 14 17 23 30 36 39 35 26 14 8 4 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 3 4 2 2 4 9 19 32 40 43 41 33 26 18 9 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 1 9 28 51 72 86 91 98 104 113
14 18 26 36 45 51 49 40 26 14 8 5 4 4 5 6 7 8 8 7 6 3 1 0 0 0 0 0 2 3 3 2 1 1 2 6 14 20 24 25 24 20 15 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 2 12 34 59 80 92 92 93 92 91
23 34 46 57 63 61 51 38 25 17 13 10 9 10 13 16 20 22 23 20 15 8 3 1 0 0 2 3 4 4 2 1 0 0 1 2 4 7 8 10 10 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 2 14 36 60 79 89 92 93 90 84
42 59 70 75 72 59 45 35 28 23 20 18 17 18 19 21 20 20 19 18 14 8 4 1 0 0 2 3 3 2 1 0 0 0 0 0 0 1 1 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 12 27 42 56 71 83 91 95 96 91