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