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 4 4 4 6 7 6 7 8 8 9 9 10 10 9 7 7 8 7 6 7 6 6 8 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 10 9 8 7 7 7 7 7 7 7 7 7 7 9 9 7 6 6 7 8 9 9 8 8 9 9 9 9 7 7 7 8 8 7 7 7 8 8 9 nan
nan 5 5 5 4 4 3 4 6 7 8 8 7 7 8 8 7 7 8 8 8 9 8 8 8 8 8 9 10 11 10 10 9 10 11 11 10 9 8 7 8 10 9 8 7 6 6 6 6 7 7 6 6 7 9 9 7 6 7 8 9 8 9 9 8 8 9 9 9 8 7 6 8 8 8 8 8 8 8 9 nan
nan 5 5 6 6 5 3 3 5 7 7 7 6 6 7 8 8 7 8 8 9 10 10 9 8 7 7 9 10 11 11 10 11 11 12 11 11 9 8 8 8 9 9 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 nan
nan 7 5 6 6 5 4 4 5 7 8 8 7 6 7 8 8 8 7 8 9 10 10 9 8 8 8 8 9 10 11 11 12 13 13 12 9 8 6 6 8 9 10 8 7 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 nan
nan 8 7 7 7 5 5 4 5 7 8 8 8 7 8 8 8 7 8 9 9 9 9 9 8 8 8 8 8 9 11 12 14 14 12 10 7 6 4 5 7 9 11 10 9 10 9 9 8 9 9 9 9 8 8 7 7 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 nan
nan 8 8 8 7 6 5 4 5 8 9 8 8 8 8 9 7 6 7 9 9 8 8 8 8 8 7 7 8 9 11 13 14 13 11 8 6 4 4 6 7 7 9 10 11 11 10 9 10 9 10 10 10 10 9 6 6 8 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 7 8 7 nan
nan 8 8 8 8 7 6 5 4 7 9 9 8 8 9 10 9 7 7 9 9 8 7 6 8 8 7 8 10 11 11 13 14 12 9 7 5 4 5 6 7 6 6 8 10 11 10 9 10 11 11 10 10 10 9 7 6 7 9 9 9 10 11 10 9 9 8 8 8 9 8 8 8 8 8 8 8 7 7 6 nan
nan 9 9 9 9 9 8 6 5 7 8 8 8 9 10 10 10 10 9 8 8 8 8 7 7 8 8 9 11 12 12 13 13 10 7 6 5 5 6 6 7 5 5 6 9 11 11 9 10 11 11 10 9 9 10 8 7 7 8 8 8 10 11 11 10 8 8 7 7 8 8 8 8 9 8 8 8 8 7 7 nan
nan 9 9 9 8 9 9 7 6 6 6 7 8 10 11 10 11 12 11 8 7 7 8 8 8 8 9 11 11 11 12 12 12 9 6 6 7 8 8 7 6 5 4 5 8 12 11 8 8 9 10 11 10 10 9 8 7 8 8 8 8 9 10 11 11 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 nan
nan 8 8 8 8 8 8 8 7 5 5 6 8 10 10 10 9 10 11 10 7 7 8 9 9 9 10 12 12 10 10 9 10 9 7 7 9 10 9 7 6 5 4 5 10 13 11 8 7 6 7 9 12 11 9 7 8 9 9 8 9 8 9 10 11 10 9 8 8 8 9 9 8 8 8 8 9 8 8 8 nan
nan 8 8 7 7 7 7 8 7 6 6 7 8 9 9 9 8 8 8 10 9 8 9 9 10 11 11 12 13 10 8 6 7 8 9 9 9 9 8 7 6 6 5 7 11 13 10 7 6 5 6 6 10 12 10 8 9 9 8 8 9 10 9 9 9 9 9 8 7 7 8 9 8 8 8 8 9 9 8 9 nan
nan 9 9 8 8 8 8 8 8 7 8 7 8 10 10 8 7 7 7 9 9 8 9 10 11 11 10 11 12 10 8 6 6 7 9 9 9 8 7 8 7 7 7 9 10 10 10 8 6 6 6 6 7 10 9 9 11 11 8 7 8 10 11 10 9 9 9 9 7 6 7 8 9 8 7 7 7 8 9 9 nan
nan 11 10 9 8 10 9 8 7 8 9 9 9 11 10 9 7 7 7 7 9 10 10 10 10 9 9 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 7 7 9 9 8 8 8 7 7 7 8 10 11 11 9 6 7 9 12 12 10 10 9 9 8 7 8 8 8 8 7 6 6 7 9 9 nan
nan 13 13 12 11 10 11 9 7 7 9 10 10 11 11 9 8 7 8 8 9 10 10 9 8 8 8 9 9 9 10 10 9 8 8 8 8 8 9 9 9 10 10 9 7 6 8 8 7 8 9 8 7 7 7 9 11 10 8 6 5 6 10 12 12 10 9 8 8 8 8 9 9 8 8 7 5 6 8 9 nan
nan 12 13 13 13 12 11 9 8 7 8 9 9 10 11 9 8 8 9 9 10 10 10 9 7 8 8 6 7 8 11 12 10 9 9 8 8 8 9 9 9 10 10 10 8 8 8 7 7 7 9 9 8 7 7 9 9 9 7 6 5 5 8 11 11 10 9 7 8 8 8 8 8 9 9 8 7 7 8 7 nan
nan 10 10 12 13 13 11 10 8 7 7 7 7 9 10 10 9 9 10 9 10 10 10 9 7 7 7 5 4 7 11 12 11 10 10 9 8 8 8 9 9 9 9 9 9 9 10 8 7 8 9 9 8 8 9 9 8 8 8 7 6 5 6 9 10 9 9 8 7 9 10 10 9 9 10 9 9 9 9 8 nan
nan 9 9 10 11 13 13 11 9 8 7 7 6 8 9 9 10 10 10 8 8 11 9 9 8 7 7 6 5 6 9 11 12 11 9 9 9 8 9 9 9 8 8 7 9 10 11 10 7 8 10 8 8 8 9 9 9 8 8 8 7 6 7 8 9 9 9 8 7 8 9 11 11 10 10 10 10 10 10 9 nan
nan 9 9 9 10 12 13 11 9 8 8 8 7 7 8 10 10 10 10 8 8 9 9 9 8 8 7 7 7 7 7 9 10 10 10 9 9 9 8 8 8 7 8 8 9 10 11 10 8 8 8 7 7 7 8 9 8 8 8 8 7 6 8 9 10 10 10 8 8 8 8 9 10 10 10 11 10 10 10 10 nan
nan 10 9 8 9 11 12 11 9 8 9 9 9 8 8 10 10 10 10 9 9 9 9 9 8 8 7 8 7 7 8 8 7 8 9 10 10 10 8 8 7 7 8 9 10 11 10 9 8 7 7 7 8 8 8 7 7 8 8 7 6 6 8 9 9 10 12 12 10 10 10 9 9 9 9 10 10 10 11 10 nan
nan 10 9 9 9 10 10 10 10 9 9 10 10 9 10 10 11 10 9 9 9 9 10 10 9 8 8 7 7 8 9 7 5 6 7 9 10 10 9 8 7 7 8 10 11 10 9 8 8 7 7 8 9 8 8 7 7 8 8 7 7 6 7 8 9 9 10 12 12 12 12 10 10 9 8 9 10 10 10 11 nan
nan 9 9 9 10 10 9 9 8 9 9 10 10 10 10 11 11 11 9 9 8 8 8 11 11 8 8 7 7 7 8 7 6 5 5 8 10 9 9 9 8 7 8 10 10 10 9 9 8 7 7 9 9 9 8 8 8 7 7 7 7 7 6 8 8 8 8 9 10 12 13 13 12 11 9 9 9 8 8 10 nan
nan 8 9 9 10 10 9 7 7 7 9 10 10 10 11 12 11 10 9 9 9 8 7 10 11 9 8 7 7 6 7 8 7 5 5 7 11 10 8 8 8 8 9 10 10 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 7 6 6 7 7 6 6 7 7 10 13 15 14 12 11 10 9 8 8 9 nan
nan 9 10 9 9 10 9 8 7 7 7 9 9 10 11 11 11 10 9 10 9 9 8 8 9 9 9 8 7 6 6 8 8 7 6 6 9 11 9 7 7 9 11 11 10 9 9 8 8 8 8 8 9 8 8 8 9 8 8 9 8 6 4 4 5 5 5 5 6 8 11 14 14 13 12 11 10 9 8 8 nan
nan 10 10 9 9 9 9 8 8 8 8 8 8 9 11 10 10 9 10 10 10 9 7 7 8 9 8 8 7 7 6 6 8 8 8 7 8 10 8 8 8 10 12 11 10 10 9 8 8 8 8 8 8 8 7 8 9 9 9 10 8 7 5 3 4 5 5 5 5 6 8 10 12 12 11 12 12 11 9 8 nan
nan 10 11 10 10 10 9 8 9 10 9 9 9 9 10 10 9 9 10 10 8 7 6 7 9 9 8 7 7 7 6 6 7 8 9 8 7 9 8 8 9 11 12 11 10 9 9 8 7 8 8 9 8 8 8 8 8 8 8 10 9 8 6 6 6 6 7 6 6 5 5 7 8 9 7 8 12 13 11 9 nan
nan 10 12 11 11 10 10 9 9 10 10 10 10 11 12 11 10 9 9 8 7 6 5 6 9 9 8 8 8 7 6 7 8 9 9 8 8 8 8 9 10 12 12 10 9 8 9 10 8 7 7 8 9 8 9 9 8 8 7 8 9 8 7 7 6 7 8 8 7 6 5 6 7 8 7 7 10 12 12 10 nan
nan 9 12 13 13 13 13 12 10 10 10 10 10 13 14 13 11 9 7 6 6 6 6 7 8 7 7 8 10 9 6 6 7 9 9 9 9 8 9 9 11 13 13 11 9 6 8 10 8 6 6 7 9 9 10 10 10 9 7 7 8 9 8 7 6 7 7 7 8 8 7 6 7 9 10 9 10 10 10 9 nan
nan 8 11 12 13 14 15 14 13 12 12 11 11 13 14 13 11 9 7 5 5 6 7 8 8 6 5 7 9 10 8 6 7 9 9 10 9 9 9 10 11 12 12 11 9 6 7 9 8 6 7 9 10 12 12 11 11 11 9 7 7 8 9 8 8 7 7 7 8 9 8 8 8 9 10 9 8 7 6 7 nan
nan 10 10 11 12 13 14 15 15 14 14 14 14 14 13 12 11 9 7 5 5 5 7 8 9 8 7 7 9 10 10 9 8 9 10 10 10 9 10 12 12 13 12 10 9 7 7 7 7 7 10 14 15 15 14 12 11 11 10 8 7 8 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 8 7 7 nan
nan 11 11 11 12 12 13 14 15 16 16 16 16 15 13 11 10 9 8 6 5 5 6 8 8 8 8 8 8 9 10 10 10 10 11 11 10 9 10 13 14 13 12 10 8 7 6 6 6 9 15 19 19 17 16 14 12 12 12 12 10 10 11 11 10 10 10 10 10 9 8 9 10 10 10 10 11 11 10 8 nan
nan 10 11 12 13 13 13 13 14 15 16 16 15 14 12 11 10 9 9 8 6 6 6 7 7 7 7 8 7 7 7 9 10 11 11 11 9 9 9 12 14 13 11 10 7 6 6 6 6 9 20 23 19 16 16 16 15 16 16 15 14 14 14 13 12 10 10 10 9 8 8 8 9 10 10 10 11 11 10 9 nan
nan 11 12 13 14 13 12 12 13 14 15 14 13 12 11 10 10 9 9 9 9 8 7 6 6 6 7 7 7 7 8 9 10 11 11 9 8 7 8 12 13 12 11 9 7 6 6 5 7 14 23 23 18 14 13 14 16 19 20 19 18 16 14 12 11 10 10 9 9 7 7 8 8 9 9 10 10 9 9 8 nan
nan 11 14 14 14 12 11 11 11 12 13 13 11 11 10 10 10 10 10 10 10 10 9 8 7 7 7 7 6 7 8 9 9 10 10 9 7 6 8 11 12 11 10 8 7 7 6 6 9 16 20 18 14 11 10 11 13 16 19 22 20 15 11 9 8 8 9 8 8 8 7 7 7 9 9 8 8 9 8 6 nan
nan 11 13 13 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 8 8 7 6 6 7 8 10 10 10 8 7 6 7 8 11 11 10 9 8 7 6 6 8 12 15 13 11 9 9 9 10 12 16 19 19 14 9 6 6 7 6 7 8 8 8 8 7 8 8 8 8 9 8 7 nan
nan 12 12 12 10 9 10 10 10 11 10 9 9 9 10 10 10 10 10 10 11 10 10 10 10 9 9 9 8 7 7 7 9 10 10 9 7 7 7 8 10 10 10 9 8 8 7 8 8 13 15 12 9 9 9 9 9 10 11 13 13 11 8 6 6 6 5 5 6 7 8 9 8 7 7 8 8 9 8 8 nan
nan 12 12 12 10 9 9 11 11 11 10 9 9 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 8 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 10 16 16 11 9 9 10 10 9 8 8 8 7 7 7 7 7 5 4 4 5 6 7 8 7 7 7 7 8 8 8 9 nan
nan 10 11 12 10 10 11 11 11 12 11 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 8 6 6 6 7 7 8 8 8 8 8 8 9 10 10 10 9 9 9 9 11 15 15 12 10 10 10 9 9 7 7 6 4 5 7 8 7 4 2 3 5 6 6 5 5 6 6 6 6 7 8 8 nan
nan 10 11 11 11 11 12 12 12 12 12 11 10 10 10 9 9 8 8 8 8 8 8 8 10 10 9 9 8 7 6 6 6 6 7 8 9 8 8 8 9 10 11 10 10 9 9 10 13 16 16 13 10 10 10 9 8 8 7 5 4 6 8 9 6 5 4 4 4 5 5 5 4 5 5 6 6 7 7 8 nan
nan 13 13 12 12 12 12 12 12 12 12 10 10 10 9 9 9 8 8 9 9 8 8 9 11 11 10 8 8 8 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 9 9 11 16 19 17 12 10 9 9 8 8 8 7 5 4 6 8 8 6 6 6 5 5 5 6 6 6 5 6 7 7 7 7 7 nan
nan 13 14 13 13 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 9 8 9 11 11 11 10 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 9 8 8 8 11 18 20 16 10 8 8 7 7 8 8 7 6 6 6 7 8 7 6 5 5 5 6 7 7 8 8 9 9 9 8 6 6 nan
nan 13 12 12 11 10 10 10 9 10 9 9 10 9 9 9 10 10 11 11 10 9 8 9 11 11 10 10 10 10 10 10 11 12 12 10 8 7 8 8 7 8 7 7 7 6 6 10 19 19 14 8 7 7 7 7 8 8 8 6 6 6 7 9 8 6 5 5 5 6 8 9 10 10 10 11 11 11 8 7 nan
nan 12 10 10 10 10 9 10 9 9 9 9 9 9 10 10 10 10 11 12 12 11 10 11 12 12 11 10 11 11 12 11 10 11 12 12 10 7 7 6 6 7 7 7 7 6 6 12 17 15 11 8 7 7 7 8 8 9 8 5 3 4 8 9 7 7 7 6 6 7 9 10 11 12 11 11 10 10 8 7 nan
nan 11 9 8 9 9 9 9 9 9 9 10 9 10 10 10 10 10 10 11 12 13 13 14 14 13 13 13 12 12 12 11 9 9 10 12 13 10 8 7 7 8 8 8 8 8 8 13 13 13 11 8 6 7 7 8 8 10 8 4 3 5 8 8 6 6 7 8 7 8 9 10 12 14 13 12 10 7 6 6 nan
nan 9 9 8 9 9 10 10 10 10 10 10 11 11 11 10 11 10 11 12 12 12 14 16 15 13 13 14 13 12 11 10 9 8 8 10 12 12 10 9 8 9 9 10 10 10 12 13 13 14 11 8 7 6 7 7 8 9 7 5 3 5 8 7 5 6 8 9 9 9 10 11 12 13 14 13 12 9 8 8 nan
nan 8 9 9 9 9 10 11 11 11 12 11 10 10 10 11 11 11 12 12 12 12 14 16 15 13 11 11 12 11 10 10 10 9 8 7 8 11 12 11 9 9 10 11 12 12 13 13 15 16 13 8 7 6 6 7 8 8 6 5 5 5 6 6 5 6 7 8 9 10 11 11 11 11 11 13 14 13 11 11 nan
nan 9 9 10 9 9 10 11 11 12 11 11 10 9 9 10 11 11 12 12 11 11 13 15 15 13 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 11 11 13 13 12 13 16 19 15 9 7 6 6 7 9 7 5 4 5 6 6 6 6 7 7 7 8 11 12 12 13 12 12 12 15 16 12 9 nan
nan 10 10 10 9 9 10 11 11 11 10 9 9 9 10 11 11 10 10 10 10 11 12 13 14 13 12 11 11 10 9 10 10 11 11 10 10 10 10 12 13 13 13 12 13 13 12 13 15 19 18 12 7 6 7 8 10 9 6 4 6 7 6 6 6 8 8 7 8 10 10 12 14 14 14 14 16 16 12 6 nan
nan 11 10 9 9 8 8 10 11 10 9 8 9 9 10 11 10 9 9 10 11 12 12 12 12 11 12 12 11 10 10 10 10 11 11 11 11 11 11 12 13 15 15 14 13 11 11 12 13 17 20 16 9 7 7 9 10 10 8 4 5 7 6 5 6 7 10 9 8 8 9 11 13 15 14 12 11 11 9 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
100 99 104 107 105 102 102 105 106 106 108 107 108 112 117 117 106 95 84 82 91 101 108 107 97 88 83 79 73 62 62 60 56 50 47 50 55 49 38 28 22 15 9 21 26 20 12 8 8 10 16 25 32 37 35 24 10 3 0 0 0 1 2 5 16 35 48 49 44 42 52 60 59 53 52 54 58 63 70 82 97
95 95 96 98 99 99 101 105 104 102 108 112 114 115 115 114 107 101 87 78 83 91 99 105 97 86 82 80 72 65 67 66 62 56 51 52 53 43 30 21 17 13 9 15 21 21 15 10 7 6 8 14 21 26 27 24 15 8 4 2 2 2 2 3 13 30 41 39 36 34 35 34 32 32 35 42 50 57 64 74 87
83 82 88 91 92 96 103 110 111 107 112 114 114 112 110 109 108 106 93 80 81 89 99 106 100 90 83 82 74 70 70 68 64 56 49 47 44 33 20 11 8 7 7 9 12 13 12 10 8 6 6 8 12 15 16 19 18 14 10 8 8 3 1 1 10 26 37 37 32 28 21 16 14 13 16 24 38 50 58 67 81
72 70 80 84 86 89 96 105 108 107 108 109 107 105 104 103 104 106 100 90 86 91 102 109 105 97 89 86 79 72 69 66 61 52 43 36 30 20 9 3 2 1 0 0 2 3 4 4 5 5 5 6 7 9 9 14 17 18 17 16 14 8 3 1 7 20 35 38 32 25 18 12 9 6 6 11 24 37 48 61 75
62 61 63 68 74 78 84 92 100 102 104 104 104 104 104 103 102 104 102 96 89 90 100 109 110 103 92 83 73 65 63 60 54 45 35 24 17 8 2 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 9 13 16 17 16 14 10 6 3 5 13 27 37 33 26 21 16 11 10 7 9 18 29 41 55 67
54 52 52 53 58 64 72 82 93 100 103 104 105 107 109 107 103 103 102 98 89 86 94 103 104 98 89 76 63 55 55 52 44 34 22 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 6 9 10 9 6 6 6 5 6 10 18 27 28 26 23 19 14 12 10 10 14 23 35 49 62
44 42 43 43 44 50 60 70 85 97 102 104 105 109 113 110 105 104 102 97 91 87 82 88 93 92 86 75 64 55 51 45 36 25 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 4 1 2 4 7 10 12 14 16 17 17 16 15 14 12 9 7 9 16 28 39 49
28 28 31 34 34 39 48 56 74 93 102 105 106 108 112 110 105 102 100 95 94 90 77 79 88 94 91 84 74 62 50 39 28 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 1 2 6 12 17 19 16 13 10 9 9 10 11 11 6 3 3 6 11 18 26
18 18 20 26 30 36 42 48 65 87 102 107 107 107 110 110 106 104 102 99 95 91 80 79 84 92 98 93 81 66 48 30 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 1 2 3 5 9 17 27 33 29 21 15 11 10 10 12 10 5 2 1 1 1 3 7
19 17 18 21 28 35 41 46 58 77 94 103 106 108 111 111 109 107 104 100 93 88 82 78 79 86 96 91 77 62 40 17 5 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 4 7 11 19 36 51 48 40 31 24 20 17 18 14 9 6 3 2 1 1 3
19 18 19 21 25 31 38 44 53 68 82 94 102 109 113 112 110 108 104 95 84 80 78 75 75 82 90 82 64 45 23 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 3 6 10 19 39 56 58 53 45 38 32 29 29 26 21 15 9 5 4 4 6
16 16 18 20 22 26 33 42 50 60 73 85 95 103 109 106 104 102 98 86 74 72 70 70 74 79 74 68 46 24 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 1 3 8 15 32 47 53 52 46 41 39 41 42 40 36 27 15 10 8 7 7
13 14 16 18 20 22 29 41 47 56 68 81 93 98 101 98 93 91 88 77 69 68 68 70 72 70 58 47 26 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 0 0 0 0 0 1 4 10 21 32 40 43 41 35 38 47 51 50 46 37 25 17 12 10 8
13 12 13 16 20 24 30 41 47 56 67 82 95 98 96 90 83 78 75 69 65 66 68 67 63 54 40 27 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 0 0 2 5 12 20 27 32 33 30 37 46 52 52 49 42 33 25 20 16 13
14 12 13 16 23 29 34 41 48 57 69 83 95 98 91 84 76 68 63 61 61 65 64 57 46 36 26 16 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 5 10 15 18 22 25 31 38 43 46 47 42 34 28 26 24 20
14 15 17 20 25 32 38 42 48 56 68 82 96 99 90 80 70 61 54 55 57 58 52 41 31 25 19 11 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 1 2 4 7 10 14 18 24 30 38 44 44 33 26 27 28 23
16 19 20 22 27 32 36 40 45 51 61 75 90 95 88 77 67 58 49 50 50 46 36 26 21 18 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 1 4 8 12 15 20 29 38 40 32 26 26 26 21
15 17 19 23 27 30 31 32 36 42 49 61 74 83 81 72 64 54 43 42 42 34 22 14 12 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 2 7 12 16 18 23 27 28 26 24 25 22 19
12 13 15 20 23 25 24 23 25 28 34 45 57 66 72 69 61 50 39 33 31 23 15 10 9 7 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 1 4 8 13 16 17 16 16 17 18 20 19 18
8 8 9 12 16 17 16 15 16 17 22 32 41 50 60 64 59 48 34 25 20 14 10 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 1 1 0 0 0 0 0 0 0 0 1 3 6 8 8 8 8 9 10 12 12 14
4 4 6 7 9 10 11 11 10 10 13 19 27 37 49 58 56 46 30 18 12 8 7 6 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 2 3 3 2 2 2 2 1 1 1 0 0 1 2 3 4 4 5 6 6 7 9
2 2 3 4 5 6 7 8 8 8 9 12 18 27 41 52 53 42 24 11 6 5 4 4 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 2 5 6 7 7 6 4 2 1 1 0 0 0 0 2 2 2 3 3 4 6 8
1 2 2 3 3 3 4 6 7 7 7 8 12 20 34 47 48 34 15 5 2 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 3 7 10 12 11 9 6 3 1 0 0 0 0 0 1 1 0 1 2 4 6 8
1 2 2 1 1 1 1 2 4 5 5 6 7 14 30 42 39 21 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 1 3 9 13 15 15 12 8 5 2 1 0 0 0 0 0 0 0 0 1 3 7 12
1 2 2 1 0 0 0 0 1 2 2 3 4 10 25 32 26 10 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 8 12 13 14 14 10 8 5 3 2 1 0 0 0 0 0 0 0 2 6 14
2 3 2 1 0 0 0 0 0 0 0 0 1 6 16 19 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 3 6 8 10 11 12 11 9 6 4 2 0 0 0 0 0 1 1 3 8 16
2 3 2 1 0 0 0 0 0 0 0 0 0 2 7 9 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 1 3 4 6 9 12 12 12 9 6 3 2 1 0 0 0 1 3 8 16 26
2 2 2 1 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 1 2 3 4 5 6 8 10 12 13 11 8 6 5 4 2 1 1 3 9 18 30 39
2 2 2 1 1 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 1 2 3 4 6 7 9 10 12 12 11 9 8 7 6 5 5 7 13 26 44 60 66
4 4 3 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 1 2 5 8 9 10 11 12 11 10 9 9 9 9 11 18 35 61 88 100 97
7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 9 9 11 12 11 11 11 13 15 20 32 55 84 110 113 104
9 11 13 13 11 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 1 3 5 6 5 6 10 11 11 11 13 17 22 30 44 63 86 102 101 93
14 19 24 24 20 14 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 0 0 0 0 0 0 0 0 1 3 2 2 2 3 8 11 10 8 7 9 14 22 32 46 64 82 89 84 76
20 29 34 32 24 13 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 1 3 1 0 0 2 10 12 9 4 2 2 6 14 26 43 62 73 71 64 59
25 36 40 34 22 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 1 5 8 6 3 0 1 4 13 26 42 59 65 65 65 65
27 38 39 30 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 3 5 9 17 27 40 52 62 71 78 83
27 36 35 25 12 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 16 22 31 43 59 73 83 86
24 34 33 24 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 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 6 10 14 19 27 42 60 74 81 80
20 32 33 25 15 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 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 2 6 11 16 24 37 56 73 82 82 78
21 32 32 24 15 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 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 1 3 7 12 18 28 40 56 74 88 90 80 66
24 31 28 20 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 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 1 4 12 20 28 39 52 65 78 91 96 87 65 44
26 27 20 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 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 4 13 28 42 56 68 80 90 100 106 100 80 51 33
25 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 12 16 16 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 2 9 25 46 66 82 94 103 113 121 121 109 84 59 45
17 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 13 16 18 18 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 34 62 86 104 119 132 143 144 136 119 99 81 73
8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 11 12 13 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 22 51 79 103 123 141 154 162 159 149 134 120 110 108
7 6 4 3 2 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 3 3 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 12 9 3 2 0 0 0 0 0 0 0 0 0 0 0 3 7 14 24 42 74 99 119 136 156 168 172 168 159 148 138 130 125
9 8 6 4 2 1 1 1 2 2 2 1 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 0 2 5 7 10 13 10 2 0 0 0 0 0 0 0 0 0 0 0 3 10 19 29 42 62 88 108 124 140 158 171 174 170 164 154 143 126 106
11 9 7 5 3 1 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 1 5 11 13 14 13 8 2 0 0 0 0 0 0 0 0 0 0 0 6 15 26 39 52 73 93 109 122 134 147 159 164 162 155 139 124 102 75
13 10 8 5 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 1 4 7 11 15 15 10 3 0 0 0 0 0 0 0 0 0 0 0 4 11 21 32 48 68 86 99 109 120 133 140 139 129 116 102 88 72 54
12 10 7 6 4 2 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 1 1 3 8 11 11 4 1 0 0 0 0 0 0 0 0 0 0 1 3 8 16 39 62 78 87 95 108 118 120 112 97 82 70 61 53 46