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 6 6 7 7 8 8 9 9 9 8 7 7 8 7 7 8 7 7 8 9 9 9 10 10 11 11 11 10 10 10 9 9 8 8 8 9 8 7 7 8 8 7 7 7 7 6 7 8 9 8 7 6 7 8 9 9 9 8 8 9 9 9 8 7 7 7 8 7 7 8 8 9 9 9 nan
nan 5 6 5 5 4 3 5 6 6 7 7 6 7 8 8 8 7 8 8 9 9 8 7 8 8 8 8 10 11 11 11 11 11 12 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 9 9 7 6 8 9 9 8 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 9 9 9 nan
nan 6 5 6 6 4 2 3 5 6 7 7 7 7 8 8 8 7 8 8 10 11 10 8 8 8 8 8 10 11 11 11 12 13 13 13 12 11 9 8 8 8 8 7 7 7 7 7 7 7 8 7 7 8 8 9 8 8 8 9 9 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 nan
nan 8 7 7 7 6 4 3 5 8 8 8 8 8 9 9 8 8 8 9 9 11 10 9 8 7 8 9 9 11 12 12 13 14 14 12 11 10 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 nan
nan 9 8 8 8 6 5 5 6 9 10 9 9 9 9 9 8 8 9 10 9 9 9 9 8 8 8 9 9 10 12 13 15 15 13 11 9 8 7 6 6 7 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 8 9 10 9 9 9 9 9 8 9 8 8 9 9 9 8 8 8 7 8 8 7 8 nan
nan 9 8 8 9 7 6 5 6 9 10 9 9 9 9 10 8 7 9 10 9 9 8 8 9 9 8 8 9 9 11 13 14 14 11 9 8 7 7 7 6 6 7 7 8 8 8 8 8 9 10 10 11 10 8 7 6 8 10 10 9 10 10 9 9 9 8 8 8 8 9 8 9 8 8 8 7 7 7 6 nan
nan 9 8 8 9 8 7 5 5 8 9 9 10 10 11 11 9 8 8 9 8 8 8 8 9 9 9 9 10 10 11 12 12 11 9 8 7 7 7 8 8 7 7 7 8 8 8 8 9 8 9 10 9 9 9 7 7 8 9 9 10 11 11 10 9 8 8 8 8 9 8 8 8 8 8 8 7 7 7 6 nan
nan 10 9 9 8 9 8 6 5 6 7 8 9 11 11 11 10 10 8 8 7 8 9 9 9 9 9 10 11 11 12 12 11 8 7 7 8 9 9 9 9 8 8 9 9 9 9 9 8 8 9 9 8 9 9 8 8 8 8 8 9 11 11 11 10 9 8 7 8 8 9 8 8 9 8 8 8 8 7 7 nan
nan 11 10 9 9 10 8 7 6 6 6 7 8 10 10 10 10 11 10 8 7 8 9 10 9 9 9 10 10 9 9 11 11 8 6 8 10 11 10 9 10 10 10 9 9 9 10 9 9 8 9 9 8 8 8 7 7 8 8 8 7 8 10 11 11 9 8 8 8 8 8 8 8 9 8 8 8 8 7 7 nan
nan 10 10 10 9 10 9 9 8 7 6 7 8 9 9 9 9 9 11 10 9 9 9 9 9 9 9 11 9 6 6 8 10 11 9 9 11 11 11 10 10 11 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 8 8 7 8 8 8 9 10 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 nan
nan 10 10 9 9 9 10 9 9 8 8 7 9 9 9 9 8 8 9 11 10 9 9 9 10 10 9 10 10 5 3 5 7 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 8 7 7 8 7 7 8 9 8 9 9 9 9 8 7 7 8 9 8 8 7 7 8 8 8 9 nan
nan 10 10 9 9 10 10 9 9 9 9 8 9 9 10 9 8 8 8 10 10 9 9 9 10 11 10 9 9 6 4 3 5 8 10 10 10 9 9 9 8 9 10 11 10 8 8 10 11 10 9 7 8 9 8 8 8 8 7 7 8 9 9 9 9 9 9 8 7 6 7 8 8 7 6 6 7 8 9 9 nan
nan 11 10 9 9 10 11 9 8 9 10 9 8 10 10 9 8 8 9 9 10 10 9 9 10 9 9 9 9 7 5 5 6 7 7 8 9 9 8 7 6 8 11 11 9 6 7 9 10 11 9 7 7 8 8 8 8 9 8 7 7 8 9 10 10 9 9 8 7 7 8 8 8 7 6 6 6 8 8 10 nan
nan 12 12 11 10 10 11 10 7 8 9 9 9 11 11 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 8 8 9 8 7 7 8 8 6 6 7 9 11 11 8 7 7 8 9 10 9 7 7 7 8 9 9 8 8 7 7 7 8 9 10 9 8 8 8 8 7 8 8 8 7 6 6 7 8 9 nan
nan 11 12 13 13 12 10 10 8 8 7 8 9 10 11 10 9 10 11 10 9 10 10 9 7 8 8 8 8 9 10 10 10 9 8 8 7 5 5 8 9 10 10 9 8 9 9 9 9 9 8 7 7 7 8 8 9 9 8 8 6 6 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 nan
nan 10 10 11 13 13 12 10 9 8 7 7 8 9 10 10 11 11 12 10 9 10 10 9 8 7 8 7 7 10 12 12 11 9 9 8 6 5 7 10 10 9 8 8 8 10 11 11 10 9 9 8 7 8 9 8 8 8 9 9 8 6 7 8 8 8 7 8 8 8 9 8 8 8 9 9 8 8 8 8 nan
nan 9 9 9 11 13 12 10 8 8 8 8 8 9 10 11 12 12 11 9 9 11 11 10 9 7 8 9 8 9 11 12 11 10 9 7 4 6 9 10 9 8 7 7 7 9 12 11 9 9 10 9 8 8 9 9 7 8 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 9 8 9 10 11 11 10 8 8 9 9 9 8 10 12 12 11 10 9 9 11 10 9 7 7 9 10 10 9 9 9 10 10 9 8 6 6 8 8 7 7 8 7 7 9 11 10 7 7 10 9 8 7 8 9 9 9 8 9 9 9 8 8 9 9 9 8 8 9 9 9 9 10 9 9 9 9 9 9 nan
nan 9 9 8 9 11 11 10 9 8 9 9 9 10 11 12 11 10 9 9 9 10 10 7 5 7 9 10 10 9 9 8 8 9 9 9 9 8 6 5 7 9 9 9 8 9 10 9 7 6 7 8 7 7 7 7 8 9 9 9 9 9 9 9 9 10 11 12 11 11 10 10 10 9 9 9 10 9 9 9 nan
nan 9 9 9 9 9 10 9 9 9 9 9 11 12 12 11 10 9 8 9 9 9 8 7 7 7 8 9 9 8 8 7 6 7 8 10 10 8 6 6 8 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 13 14 14 12 11 10 9 9 8 9 9 8 8 nan
nan 8 9 9 9 9 9 8 8 9 10 10 11 12 11 10 10 9 9 8 7 6 6 8 9 7 7 8 8 7 7 7 5 5 6 9 9 7 6 8 10 11 12 11 10 9 8 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 9 10 10 10 11 11 13 14 14 13 11 10 9 8 8 8 8 8 nan
nan 9 9 9 10 9 8 8 8 8 9 10 11 12 12 12 11 10 8 7 6 5 5 8 9 7 7 7 7 5 6 7 6 5 5 6 9 8 7 8 11 13 13 12 10 8 8 7 8 8 7 7 8 8 8 7 7 7 7 7 6 5 5 7 8 8 9 10 12 13 15 14 12 10 9 9 7 6 7 7 nan
nan 9 10 9 10 10 9 8 7 7 8 9 11 13 13 12 11 8 7 6 7 6 6 7 8 8 8 7 6 4 4 7 7 7 7 6 7 8 7 8 10 13 13 11 9 8 7 7 8 8 8 7 8 8 8 8 7 7 7 7 6 4 2 3 4 5 6 7 9 11 14 14 13 11 10 9 8 7 7 7 nan
nan 10 10 10 10 10 10 9 9 9 9 9 12 14 13 11 9 6 6 7 7 7 7 7 8 8 7 7 6 4 4 6 8 9 9 6 6 8 9 10 10 11 12 10 9 8 7 7 8 8 8 8 8 8 8 9 8 7 6 6 7 5 5 4 4 4 6 7 8 9 11 13 13 11 10 10 10 9 8 8 nan
nan 10 11 10 10 11 10 10 10 11 11 12 14 13 12 10 7 5 5 6 7 7 7 7 8 8 6 6 6 5 5 7 9 10 9 7 6 8 10 11 10 10 10 9 8 8 8 8 8 8 8 9 8 8 8 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 11 12 12 9 9 10 9 8 8 nan
nan 10 12 11 11 11 11 11 11 12 13 14 15 14 11 9 6 5 5 6 6 7 6 7 8 8 7 6 6 6 7 8 10 10 9 8 8 9 10 11 11 10 9 8 7 7 9 10 8 8 8 8 8 8 8 9 8 7 7 8 8 8 8 7 7 7 8 8 8 8 9 9 10 11 9 7 8 8 8 8 nan
nan 9 12 13 13 14 13 13 14 14 14 14 14 13 10 8 7 5 4 5 6 7 7 6 7 6 6 7 8 8 8 8 9 10 10 9 9 10 11 12 12 11 10 9 7 6 9 11 9 8 8 8 8 8 9 10 10 8 7 7 8 9 9 7 6 6 6 6 6 7 7 7 8 9 9 8 7 7 6 7 nan
nan 9 12 13 15 15 16 17 17 16 16 14 12 11 9 7 6 5 5 5 6 7 7 7 7 6 5 6 9 11 11 9 9 9 9 9 9 10 12 14 12 10 10 9 8 6 8 10 8 8 9 9 11 11 11 12 12 10 8 7 8 9 9 8 7 7 5 6 6 6 6 5 6 7 8 8 8 8 7 8 nan
nan 11 12 13 14 15 16 17 17 17 16 14 11 9 8 7 7 7 6 5 6 6 7 8 7 7 6 6 7 11 12 12 10 9 8 8 9 10 12 12 11 10 9 9 9 7 7 8 8 9 11 14 16 17 16 16 15 13 11 9 8 9 10 9 9 8 7 7 7 7 7 6 5 5 7 7 8 9 9 10 nan
nan 13 13 13 14 14 14 15 16 16 14 12 10 9 9 9 8 9 8 7 6 6 6 7 7 7 6 5 6 9 12 12 11 8 7 8 10 11 12 12 11 10 9 8 7 7 6 7 7 9 14 19 19 18 17 17 18 19 16 14 11 11 11 11 10 9 8 7 8 8 8 7 7 6 7 8 8 9 10 11 nan
nan 13 14 13 12 12 12 13 13 13 12 10 9 9 9 10 11 10 10 9 7 6 6 6 6 6 6 5 6 8 10 11 10 9 8 8 9 11 12 11 11 10 9 8 6 6 6 6 7 11 19 21 18 15 14 15 17 21 20 18 14 13 13 12 11 9 7 7 8 8 8 8 8 9 10 10 10 11 10 9 nan
nan 13 13 12 12 11 11 11 11 11 11 10 9 9 10 11 11 11 10 10 9 8 7 6 6 6 5 5 6 7 9 10 9 8 7 7 8 10 11 11 10 9 9 8 6 6 7 6 9 16 22 20 15 11 11 11 13 17 19 19 14 11 12 13 12 10 8 8 8 9 8 8 8 9 10 12 12 12 11 10 nan
nan 12 13 12 11 11 11 11 11 11 10 10 10 11 12 12 12 11 10 10 10 9 9 8 7 6 6 5 4 6 9 9 9 8 7 6 7 8 9 10 10 8 7 7 7 7 7 7 11 17 19 16 12 9 8 9 10 12 13 14 12 9 10 11 11 10 9 9 9 9 9 8 8 8 10 10 11 12 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 10 10 11 10 10 10 9 8 7 6 5 5 6 8 9 9 9 8 8 8 7 7 8 9 9 8 8 7 7 7 7 9 13 15 12 9 8 8 9 9 9 10 11 10 8 9 10 11 10 9 9 9 9 9 9 9 9 9 9 9 11 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 9 9 10 10 9 8 7 6 6 7 7 8 9 10 9 9 8 7 7 8 9 10 9 8 8 7 6 6 7 14 16 12 9 8 9 9 8 8 8 8 7 6 7 9 10 10 8 8 8 8 8 9 10 10 9 9 8 10 11 10 nan
nan 12 12 12 11 11 11 11 11 12 12 11 10 11 11 11 9 8 8 8 8 8 9 10 9 8 8 7 7 7 7 7 9 9 9 9 8 7 7 9 10 10 9 8 8 7 5 6 9 18 19 13 11 10 10 9 8 7 7 6 3 3 5 7 9 8 7 7 6 5 7 8 8 9 9 9 8 9 9 9 nan
nan 13 13 13 11 10 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 7 8 9 9 8 8 7 7 6 6 7 8 8 8 8 7 8 9 10 9 9 8 8 7 7 6 9 14 16 14 12 10 9 8 7 7 7 4 -0 0 4 7 8 7 6 5 5 5 5 6 7 8 9 9 9 8 9 9 nan
nan 13 13 12 11 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 7 9 9 8 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 7 8 9 8 10 13 15 14 11 10 8 7 7 7 6 4 -0 0 4 7 6 6 5 5 5 6 6 7 7 7 8 9 9 10 11 11 nan
nan 13 12 11 11 11 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 7 8 9 10 9 8 8 8 8 8 7 6 6 6 7 8 8 8 8 7 7 8 8 8 8 9 13 15 15 12 10 8 7 6 6 7 7 4 1 1 4 6 6 5 5 5 6 7 9 10 9 9 8 8 8 11 12 12 nan
nan 12 11 10 9 10 10 10 10 10 10 10 10 10 11 10 10 10 9 10 10 8 6 8 10 11 10 10 10 9 9 9 9 8 6 6 7 8 9 8 7 8 8 8 8 8 8 9 14 16 14 9 8 8 7 6 7 7 8 5 3 3 5 7 7 5 4 5 8 10 12 12 11 10 8 8 9 11 13 12 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 8 8 8 10 10 10 11 11 11 10 9 10 9 8 7 7 7 8 8 8 8 7 8 8 9 8 9 16 16 12 8 7 8 8 8 8 8 8 6 3 2 6 10 9 8 7 7 9 12 13 12 12 10 9 9 10 13 13 12 nan
nan 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 11 11 11 11 10 9 10 11 10 9 9 10 10 10 9 8 9 10 10 8 8 8 8 9 9 8 8 9 10 9 11 13 13 10 8 7 8 8 9 9 9 8 3 1 3 7 10 10 10 11 11 12 12 12 12 12 11 9 9 11 13 14 14 nan
nan 8 8 8 9 9 9 10 9 10 10 10 10 10 10 9 9 10 10 10 11 11 11 13 12 10 9 9 9 8 9 9 8 8 9 10 11 10 9 8 9 10 10 10 10 10 11 13 10 10 10 8 7 7 8 8 9 10 8 4 2 5 8 8 9 10 12 13 13 12 12 11 12 11 9 9 10 11 14 14 nan
nan 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 12 13 12 10 9 9 9 9 10 10 9 8 8 9 11 12 11 10 9 9 10 11 11 11 12 12 10 10 12 9 7 7 8 9 9 11 9 7 6 6 7 7 7 9 11 12 13 13 12 10 10 10 10 11 11 11 11 11 nan
nan 9 9 9 9 9 10 10 10 11 11 9 9 8 9 11 11 11 11 11 10 11 12 12 12 10 9 9 9 10 10 11 10 9 9 8 8 10 12 11 10 10 11 11 11 11 12 11 10 12 13 10 7 7 8 9 10 10 9 8 7 6 5 6 7 9 11 11 12 12 12 12 12 11 11 13 15 13 9 7 nan
nan 10 10 9 9 10 10 11 11 12 11 9 8 9 10 11 12 12 12 12 11 11 12 12 12 10 10 10 10 9 10 11 11 10 9 8 8 9 10 12 12 12 12 12 13 11 10 10 11 14 14 11 8 8 8 8 10 9 7 6 6 6 5 5 7 10 11 11 11 12 12 13 14 14 14 14 16 14 8 4 nan
nan 10 10 10 10 9 9 11 12 11 11 10 9 10 11 11 11 11 11 11 11 11 12 12 11 12 11 11 11 10 10 11 11 11 11 10 10 10 12 13 14 14 14 14 15 14 11 10 11 14 16 13 9 8 8 8 9 9 7 4 5 6 4 5 8 11 11 11 11 11 11 12 14 14 12 11 12 11 7 4 nan
nan 10 10 9 10 9 9 11 11 10 10 9 9 11 11 11 11 11 11 11 12 11 11 11 11 11 12 13 12 12 12 11 11 12 12 12 12 12 13 14 15 14 14 13 15 15 13 12 11 13 17 16 11 9 9 9 9 9 7 3 4 6 5 7 8 11 12 12 10 9 8 9 11 10 8 6 5 7 7 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
114 110 110 114 116 118 119 121 122 121 121 117 114 111 109 109 109 107 100 103 118 128 126 119 106 100 101 99 92 80 86 86 84 78 68 64 59 49 36 27 23 20 16 31 37 33 27 23 18 15 18 22 26 29 28 21 10 3 2 2 3 5 10 23 42 59 67 68 67 68 60 54 50 49 51 53 59 70 80 91 102
107 106 102 105 106 109 114 118 118 114 117 120 119 114 108 110 110 114 106 104 118 131 130 128 114 106 110 116 116 111 103 93 86 79 69 64 61 49 36 28 24 21 19 26 34 38 38 33 24 16 12 13 15 18 19 21 14 8 5 4 2 1 3 10 33 53 61 58 58 59 50 41 38 41 46 50 59 70 79 85 92
95 94 97 99 98 101 111 120 122 116 119 122 121 115 107 108 110 116 110 107 117 130 130 129 122 119 121 127 126 121 106 92 82 74 66 62 61 51 38 28 23 20 17 19 24 30 34 33 29 20 13 10 9 9 10 17 16 12 10 9 6 1 0 2 15 34 48 46 42 40 32 27 28 33 38 44 58 70 78 83 89
86 88 96 97 94 95 102 110 112 110 113 115 114 110 105 104 108 115 117 116 119 126 125 125 125 126 125 124 118 107 92 81 74 67 59 54 52 45 32 21 15 11 8 7 9 14 18 19 18 15 12 10 8 7 7 12 16 16 16 15 10 4 1 0 4 15 26 29 26 23 20 19 22 26 34 39 52 63 71 76 80
80 82 85 86 86 86 89 94 100 102 106 110 110 109 106 106 108 114 118 121 122 123 123 126 127 123 119 113 102 88 76 67 61 56 50 42 38 31 19 8 4 2 1 0 1 3 6 7 8 7 8 8 7 5 4 7 11 16 19 20 18 9 3 1 1 3 6 11 12 12 13 14 16 21 27 37 50 60 65 68 72
73 75 76 72 71 73 78 84 92 100 105 109 110 110 109 108 109 115 120 123 124 124 121 124 119 110 105 100 87 73 63 52 42 38 34 23 13 5 1 0 0 0 0 0 0 0 1 2 3 4 5 5 5 3 2 2 6 11 15 17 14 10 7 4 1 0 1 2 4 6 8 10 11 13 17 29 44 55 61 66 72
62 66 68 65 62 63 69 76 86 98 105 108 109 108 108 107 110 119 124 122 121 120 110 111 107 101 96 90 78 63 47 32 22 20 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 0 1 5 10 13 13 13 13 10 5 2 1 1 2 3 5 6 7 8 10 17 32 48 60 65 69
48 53 57 58 56 57 60 66 79 93 102 106 108 110 108 108 112 119 120 113 106 104 97 99 101 99 94 87 71 49 28 11 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 7 11 12 14 17 17 14 8 4 3 3 4 6 6 4 4 4 9 18 30 41 51 58
41 43 47 51 52 54 55 58 70 84 96 106 112 116 113 112 114 115 109 99 92 92 92 94 93 90 86 77 56 31 12 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 6 10 14 18 21 23 23 19 13 9 8 9 10 8 6 3 2 5 11 20 30 40 47
44 42 44 45 47 50 52 54 62 75 90 104 114 117 113 113 112 106 95 85 85 90 91 88 83 77 73 59 37 16 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 1 2 6 10 15 21 24 25 30 29 23 18 16 16 16 13 11 6 2 3 7 16 26 36 42
45 44 44 45 46 47 48 50 57 70 86 101 109 107 104 105 103 97 87 80 83 88 86 79 72 68 63 46 24 7 0 0 0 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 15 19 21 23 32 35 32 27 24 24 25 22 18 11 4 2 5 14 24 33 40
38 38 40 42 43 43 44 48 56 68 84 98 103 95 90 90 87 84 82 80 80 79 76 70 65 60 49 31 13 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 5 11 16 20 22 24 33 39 41 39 36 36 38 35 28 18 11 7 7 14 22 30 36
28 30 31 34 35 36 39 48 56 67 81 94 100 89 85 81 73 71 76 77 77 70 68 66 62 54 36 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 3 9 16 22 27 31 38 44 47 48 48 47 47 44 36 26 17 12 12 16 20 25 29
21 21 21 24 26 29 34 46 54 64 77 90 95 88 86 79 68 64 67 70 68 65 64 62 56 45 26 12 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 1 5 12 22 30 34 39 42 46 49 54 57 55 51 43 34 25 18 17 18 19 21 23
16 14 14 16 20 25 31 40 48 58 71 83 88 86 84 76 66 60 60 62 61 60 59 54 45 32 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 2 6 15 23 26 29 32 36 42 50 58 61 56 48 38 28 19 16 15 16 18 19
12 11 12 12 15 20 27 33 40 49 62 74 83 86 84 77 68 61 58 58 55 52 49 43 34 21 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 0 0 2 6 11 13 14 17 22 29 37 46 52 55 51 41 29 21 14 12 12 14 15
9 11 10 10 13 17 22 27 32 40 50 63 75 80 80 75 68 61 57 57 49 44 39 34 25 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 2 3 4 4 5 8 14 20 29 38 45 44 36 27 22 16 13 12 12 12
7 9 9 10 12 16 18 21 24 29 38 50 61 66 70 70 63 54 47 45 39 33 28 22 14 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 14 24 31 29 24 21 19 17 14 13 11 11
6 7 8 9 11 14 15 16 16 17 23 34 44 47 58 59 50 38 30 26 24 19 15 11 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 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 5 9 13 13 13 14 15 15 13 12 11 11
4 6 7 8 10 11 12 11 10 9 12 19 26 32 45 44 33 21 14 13 12 10 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 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 12 12 12 11 10
3 5 7 8 8 10 10 9 7 6 6 9 13 24 34 30 18 9 6 5 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 9 11 11 11
2 3 5 6 6 6 6 6 5 4 4 6 9 20 28 22 11 3 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 1 1 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 9 9
1 2 4 4 4 4 3 4 4 3 3 4 8 19 25 17 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 1 2 2 2 2 2 2 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5
1 2 2 2 2 2 1 1 2 2 2 2 6 17 19 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 1 2 3 4 5 6 7 9 10 9 6 3 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4
1 1 1 1 1 1 0 0 0 0 0 1 3 12 10 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 1 2 4 7 8 10 12 14 13 9 5 3 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 2
1 1 0 0 1 1 0 0 0 0 0 0 2 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 3 7 11 13 15 18 18 15 11 8 6 6 5 4 2 0 0 0 0 0 0 0 0 1 3 5 8
2 2 1 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 1 4 9 14 18 22 24 23 20 15 11 8 7 6 4 1 0 0 0 1 1 2 3 7 11 15 24
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 0 0 0 0 0 0 0 0 0 0 0 2 5 10 16 23 27 29 27 22 17 12 10 9 7 3 1 0 2 6 10 15 19 24 28 31 40
6 6 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 2 5 14 22 27 29 29 25 20 16 14 12 10 6 4 5 9 17 26 38 49 57 61 60 63
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 22 26 27 26 24 20 16 14 13 12 11 11 14 21 32 44 61 80 97 105 97 92
11 13 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 0 0 0 0 0 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 13 24 30 30 27 24 19 16 14 15 15 15 19 27 36 44 54 71 93 111 120 112 103
15 21 18 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 0 0 0 0 0 0 0 0 0 0 0 3 16 31 41 39 29 23 18 16 16 18 17 17 20 28 37 46 54 72 94 112 116 107 100
22 28 20 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 0 0 0 0 0 0 0 0 0 0 0 4 16 31 41 33 20 16 17 20 22 21 17 15 16 19 26 38 52 73 101 127 129 117 107
28 29 19 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 0 0 0 2 9 18 22 12 6 7 13 21 25 24 21 18 17 18 23 34 51 77 110 143 146 138 126
28 26 17 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 3 7 6 2 0 2 7 13 17 19 22 24 26 27 33 46 63 86 117 144 151 150 144
24 24 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 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 1 2 4 5 6 9 15 24 35 45 59 76 96 120 134 144 149 146
20 23 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 34 49 63 79 96 109 118 129 136 133
18 24 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 17 34 49 64 79 95 100 107 121 131 126
20 22 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 0 0 0 0 0 0 0 0 0 0 0 1 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 26 41 53 67 82 93 93 102 120 136 135
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 0 0 0 0 0 0 0 2 10 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 30 46 56 66 76 88 85 79 91 118 145 145
13 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 3 12 12 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 35 54 68 77 85 94 98 85 76 88 119 150 138
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 6 20 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 2 9 21 38 58 74 85 96 107 117 114 100 92 102 128 143 114
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 9 19 16 8 2 0 0 0 0 0 0 0 0 0 0 0 3 9 20 35 54 75 90 103 115 127 136 127 114 108 116 135 120 84
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 18 14 8 2 0 0 0 0 0 0 0 0 0 0 2 10 20 35 55 78 99 112 122 132 142 147 134 122 118 123 123 93 55
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 2 4 5 6 13 17 12 4 1 0 0 0 0 0 0 0 0 0 1 7 19 36 60 87 108 128 134 137 143 150 147 136 129 126 122 103 69 35
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 0 0 0 0 0 2 6 10 11 10 13 18 12 1 0 0 0 0 0 0 0 0 0 1 3 12 28 52 83 114 120 140 146 146 146 147 140 134 131 126 114 86 55 27
8 6 4 2 0 0 0 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 2 6 13 20 23 21 20 23 17 2 0 0 0 0 0 0 0 0 0 1 3 14 31 56 87 117 121 137 145 143 136 131 125 121 117 111 90 64 40 20
10 8 6 4 2 1 2 3 3 2 2 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 1 4 11 19 29 38 38 34 32 23 7 1 0 0 0 0 0 0 0 0 0 1 11 25 46 75 104 118 128 128 122 117 115 110 102 90 75 56 40 26 14
11 10 8 6 4 3 4 4 4 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 2 6 10 16 25 38 40 38 34 26 13 2 0 0 0 0 0 0 0 0 0 1 8 20 40 70 103 116 116 109 103 106 106 99 86 69 51 37 28 21 13
12 11 10 10 8 6 5 4 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 1 3 4 6 9 15 19 21 21 20 16 3 0 0 0 0 0 0 0 0 0 4 14 30 52 83 110 112 103 95 94 97 92 82 70 55 43 33 26 20 15