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