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 5 6 6 6 7 7 8 8 8 9 8 8 9 9 8 7 8 10 8 8 8 6 6 8 9 9 9 10 10 10 10 9 8 8 7 9 10 10 9 8 8 8 8 9 9 9 9 9 7 7 7 7 8 9 10 8 6 6 7 9 10 9 7 8 10 10 10 9 8 7 7 8 9 8 8 9 9 8 7 nan
nan 4 5 6 6 6 5 6 7 7 8 9 8 7 7 8 8 8 10 9 9 10 7 6 7 7 7 9 10 10 11 9 8 8 8 8 8 9 10 10 9 8 8 8 8 9 9 9 8 8 7 6 7 9 10 10 8 6 6 8 9 10 9 8 7 8 10 10 9 7 6 7 9 10 9 8 8 8 8 9 nan
nan 4 5 6 6 6 5 4 6 7 8 9 8 6 6 8 8 8 9 9 10 11 9 8 7 7 7 9 10 9 9 9 8 7 8 8 8 9 10 10 10 10 10 8 8 8 9 8 7 7 6 6 8 9 11 10 7 7 7 10 11 10 9 8 7 8 9 9 9 7 6 7 8 9 9 8 8 8 9 10 nan
nan 5 5 5 6 6 6 5 5 7 9 9 9 7 7 7 8 8 8 8 9 11 10 9 8 7 8 9 10 8 8 8 8 7 8 8 8 8 8 9 10 11 11 9 9 8 9 8 7 7 6 6 7 9 10 9 7 7 8 10 10 9 8 8 8 9 9 8 9 9 8 9 8 8 8 7 7 8 9 9 nan
nan 6 6 6 5 5 6 5 5 8 10 9 8 8 8 7 6 7 8 9 9 10 10 10 9 8 8 9 10 9 8 8 8 8 8 8 8 8 7 7 9 10 11 10 10 9 9 8 8 7 6 6 7 8 9 8 7 7 9 10 8 8 9 10 9 10 8 6 8 8 8 10 11 9 7 6 7 9 8 8 nan
nan 7 7 6 6 5 5 5 6 8 9 10 9 9 9 8 6 5 7 9 9 9 9 9 9 9 8 8 10 10 9 9 8 9 10 9 8 8 8 7 8 9 11 11 11 10 9 9 8 7 6 6 7 8 9 8 6 7 10 10 7 6 9 10 10 10 8 6 7 7 8 9 10 11 9 7 7 8 8 9 nan
nan 8 7 7 6 6 7 5 4 7 8 9 9 10 10 9 7 6 7 8 9 9 8 8 8 9 8 8 9 10 9 9 9 9 9 9 8 7 7 7 7 8 9 11 11 10 9 9 9 9 7 6 7 8 8 8 7 7 9 9 8 7 9 9 10 10 8 8 7 7 7 7 10 11 9 7 8 9 9 9 nan
nan 9 8 7 6 8 8 6 5 6 6 7 8 10 10 9 8 8 7 7 8 9 8 8 8 8 8 8 9 9 9 10 9 9 9 10 9 9 8 7 7 7 8 10 11 11 9 9 9 9 8 7 7 7 8 7 7 8 9 7 8 9 9 9 9 9 9 8 8 7 7 6 8 9 8 9 10 11 10 9 nan
nan 8 8 8 7 7 8 7 6 6 6 7 7 9 9 9 8 9 9 8 8 8 8 9 8 7 8 9 8 8 9 9 9 9 10 10 11 11 10 7 7 7 8 9 11 11 10 10 9 9 8 8 7 7 7 7 7 9 9 7 8 9 10 10 10 9 9 8 8 8 7 6 7 8 7 9 11 11 10 10 nan
nan 7 7 7 6 5 6 6 6 6 7 7 7 7 8 8 8 8 10 9 8 8 7 8 8 9 9 9 9 8 7 8 8 8 10 11 11 11 11 9 8 8 8 9 10 10 10 10 9 8 8 8 8 7 6 6 6 8 9 8 9 9 10 11 11 9 9 9 8 8 8 8 7 8 8 9 10 11 11 10 nan
nan 8 7 7 6 5 4 6 5 4 6 7 8 7 8 7 7 7 9 10 9 8 7 7 8 10 8 9 11 10 8 7 6 8 9 9 10 10 10 10 9 9 9 9 10 10 9 9 9 9 8 7 8 8 6 5 7 8 8 8 10 10 10 10 10 9 8 8 7 7 9 10 9 7 8 9 11 11 11 11 nan
nan 9 8 9 8 6 5 6 6 4 6 7 8 9 8 7 7 6 7 9 9 8 8 9 9 9 7 8 11 10 9 7 6 7 8 9 9 10 10 9 9 9 10 10 10 10 10 9 9 9 8 7 7 9 8 6 7 8 8 8 9 9 10 10 10 10 8 7 6 6 8 10 9 8 7 7 9 11 10 11 nan
nan 11 10 10 9 9 8 7 6 6 7 7 7 9 9 8 7 6 6 8 8 8 9 9 9 7 7 8 10 10 10 9 8 6 7 7 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 8 7 8 8 8 7 8 8 7 7 8 9 10 11 11 9 7 6 6 8 9 9 7 7 7 7 9 10 11 nan
nan 12 11 11 10 10 10 8 7 6 7 8 8 8 9 9 7 6 6 6 8 9 10 9 8 6 6 8 10 10 10 10 9 8 6 6 8 10 11 11 9 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 9 11 12 11 9 8 6 6 7 9 9 8 8 7 7 8 10 11 nan
nan 12 12 11 11 11 11 9 7 6 6 7 8 9 9 9 8 6 6 6 9 11 11 10 8 7 6 6 8 11 11 10 10 10 7 6 7 8 10 11 10 9 9 9 10 11 10 9 9 9 9 8 8 9 9 9 9 9 8 8 7 5 7 11 11 11 10 8 7 6 7 9 9 10 9 8 8 8 10 10 nan
nan 10 11 11 12 12 11 9 7 7 5 6 7 8 9 9 8 7 6 5 8 12 11 10 9 8 7 6 6 8 11 11 11 10 9 8 7 8 9 10 9 9 10 10 10 11 10 10 9 9 9 9 9 10 10 10 10 9 8 8 8 6 7 9 11 11 10 9 8 7 8 8 9 9 9 8 8 8 9 8 nan
nan 9 9 10 11 13 13 10 8 7 6 7 7 8 9 9 8 7 7 6 7 11 11 9 9 8 8 8 7 6 7 10 11 11 10 9 8 8 8 9 9 9 10 9 10 10 10 10 9 8 9 9 9 10 11 11 10 9 9 8 8 7 7 9 10 11 11 10 8 8 8 8 8 9 10 8 7 8 8 8 nan
nan 9 8 9 10 12 13 11 8 7 8 8 8 6 8 9 9 8 7 6 8 10 10 10 8 8 8 9 8 7 5 7 9 11 11 11 9 8 8 8 9 9 9 9 9 10 11 10 8 8 9 8 8 9 10 11 11 10 9 9 8 7 7 8 9 10 10 10 10 9 8 8 8 8 9 9 8 9 9 8 nan
nan 9 9 9 10 12 12 11 9 8 8 10 9 7 7 8 9 9 8 7 9 11 10 10 9 7 8 8 9 8 6 6 6 8 10 11 10 9 7 8 8 9 9 9 9 9 10 10 9 8 8 8 7 7 8 10 11 11 10 9 8 8 8 8 9 9 10 10 10 10 9 9 8 8 7 7 8 9 9 9 nan
nan 8 8 9 10 11 11 11 9 8 9 10 10 9 8 8 8 8 8 8 9 10 11 11 10 8 7 8 8 9 8 7 6 6 7 9 10 9 8 8 8 8 9 10 10 10 10 10 10 9 8 8 7 7 8 9 10 10 9 9 8 8 9 8 9 9 10 10 10 10 10 9 9 8 6 5 5 8 8 9 nan
nan 8 8 8 10 10 10 9 8 8 9 10 10 10 9 8 7 7 8 8 9 9 10 11 12 9 7 7 8 9 9 9 8 6 5 7 9 9 9 9 9 8 9 9 10 10 10 10 11 10 9 8 7 7 8 9 10 10 9 8 8 8 8 8 9 9 9 10 9 10 11 11 10 9 7 5 5 5 7 8 nan
nan 8 8 9 9 10 10 9 7 7 9 9 9 9 10 9 8 8 8 8 9 9 8 11 12 10 8 8 8 8 8 9 9 8 7 6 7 8 8 9 9 9 9 9 9 10 10 10 11 11 9 8 7 7 8 9 9 9 9 9 8 7 7 8 9 9 9 9 9 10 11 11 10 10 8 7 5 5 6 7 nan
nan 9 9 9 9 10 10 9 8 7 8 8 8 8 9 10 10 8 8 9 10 10 9 9 11 10 9 9 8 8 7 8 9 10 8 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 10 9 7 6 7 8 9 10 9 9 9 8 7 7 8 9 9 8 9 9 11 12 11 10 10 8 6 5 6 7 nan
nan 9 8 8 9 10 10 9 8 8 8 8 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 9 8 7 6 7 9 9 9 9 9 9 10 10 10 11 11 11 9 6 5 6 8 9 9 9 9 8 8 7 6 7 8 8 8 8 10 12 12 11 10 11 10 7 5 5 nan
nan 10 9 9 9 10 10 9 8 9 9 8 9 8 9 8 8 9 10 10 10 10 9 9 10 10 10 10 9 8 8 9 9 9 10 10 8 7 6 6 7 8 9 9 9 9 9 9 10 10 11 11 10 8 6 6 7 8 9 8 9 9 9 9 7 7 7 8 8 7 9 11 12 12 9 10 12 10 8 7 nan
nan 11 12 11 10 10 10 9 8 8 9 10 10 10 9 8 8 9 11 11 11 11 10 10 11 10 10 10 9 8 8 9 10 10 10 10 9 9 9 7 7 8 9 9 9 10 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 10 11 9 8 8 8 8 8 8 9 10 11 10 10 11 11 11 10 nan
nan 12 13 13 12 12 11 10 9 9 9 10 9 9 10 10 9 9 10 11 11 11 11 10 10 10 10 11 10 8 7 7 8 9 10 12 11 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 6 7 7 8 7 6 6 8 10 9 9 9 9 9 8 8 8 9 10 10 10 11 11 11 11 nan
nan 12 13 13 13 13 12 12 11 10 10 10 9 8 10 10 10 10 10 10 9 10 12 11 10 10 10 11 12 10 8 7 7 8 10 11 11 10 9 9 9 10 10 10 10 10 11 10 9 8 8 9 10 10 9 7 7 7 7 7 6 4 5 8 9 8 8 9 9 8 8 8 8 9 10 9 9 10 10 9 nan
nan 11 12 13 13 12 12 12 12 12 12 11 10 9 9 10 11 11 11 9 8 8 10 10 10 10 11 11 12 12 11 8 7 7 9 10 11 10 9 9 9 10 9 10 10 9 9 10 9 10 13 13 12 11 9 7 6 7 8 8 8 5 5 7 8 9 8 8 8 9 9 8 8 9 9 8 8 10 10 8 nan
nan 10 11 11 11 11 11 11 12 11 11 11 10 10 10 11 11 12 12 10 8 8 9 9 9 9 10 11 11 12 12 10 9 7 7 9 10 10 10 10 10 9 10 10 10 9 8 7 8 12 19 19 13 11 10 7 4 5 7 8 8 8 7 7 8 8 9 8 8 9 9 8 8 8 9 9 9 9 11 9 nan
nan 9 9 10 10 11 11 10 10 10 10 11 11 10 11 11 12 13 13 11 9 8 9 9 8 8 9 9 10 10 11 11 10 9 7 7 8 9 10 10 10 10 10 11 10 9 8 6 6 11 23 24 14 10 9 8 6 4 4 6 7 9 9 8 8 8 10 10 9 9 8 8 8 8 9 10 9 9 10 10 nan
nan 8 8 8 10 11 10 10 9 10 10 10 10 10 10 10 11 12 12 11 10 10 10 9 9 7 6 7 9 9 10 11 10 10 8 7 7 8 9 9 9 9 10 11 10 9 9 6 7 13 22 22 15 10 8 8 7 5 3 2 4 8 9 9 8 9 10 10 9 9 8 8 8 8 9 9 10 10 10 10 nan
nan 7 8 8 9 10 10 9 10 10 9 9 10 10 10 10 12 12 11 11 11 11 11 11 11 8 6 5 6 9 11 11 10 9 8 8 7 7 8 8 8 8 8 10 10 9 8 8 11 18 20 17 13 11 9 7 7 6 3 -1 1 6 7 9 8 9 9 10 9 9 9 9 8 8 8 8 10 11 10 9 nan
nan 8 8 8 9 9 9 10 11 11 9 8 8 9 9 10 12 11 10 11 11 11 12 13 12 10 8 6 6 8 10 10 10 10 9 9 8 8 7 7 8 7 8 9 9 8 8 8 12 21 21 14 12 11 9 8 7 6 4 1 -1 1 5 7 8 9 8 8 8 8 9 10 9 9 9 9 9 10 11 10 nan
nan 8 9 8 8 8 9 10 11 11 9 8 8 8 9 10 10 10 10 9 10 11 12 14 13 11 9 8 9 9 8 8 8 9 11 11 10 9 8 8 8 8 8 10 10 8 7 7 10 20 23 16 13 11 9 9 7 6 6 3 -1 -2 2 7 9 9 8 7 7 7 9 10 10 9 9 9 9 10 10 10 nan
nan 9 9 8 7 8 9 9 10 11 11 8 8 8 9 10 10 9 9 9 9 10 11 12 13 12 10 10 11 11 9 7 7 8 10 10 10 10 9 9 8 8 9 9 10 9 8 8 11 18 20 16 14 12 11 9 8 8 6 3 -2 -4 -0 6 11 10 8 8 7 6 7 8 9 9 9 9 9 9 10 10 nan
nan 8 9 9 7 8 9 9 10 11 11 10 9 9 9 10 10 10 9 9 9 8 7 9 12 12 11 12 11 10 8 7 6 7 8 8 9 10 10 9 8 7 7 8 10 10 10 8 13 18 17 15 14 13 12 10 9 9 8 4 -3 -7 -2 5 10 11 9 9 8 7 6 7 8 8 9 10 9 10 10 10 nan
nan 8 8 8 8 7 7 8 9 11 11 11 10 9 9 9 10 10 9 9 9 9 7 7 11 12 11 11 10 9 8 7 6 6 7 7 9 10 10 9 8 7 7 7 8 9 10 9 13 18 17 16 15 14 14 12 11 10 9 6 -1 -6 -3 3 8 10 10 9 9 9 9 9 9 9 9 10 9 9 10 10 nan
nan 7 8 8 8 7 6 7 8 10 11 10 10 10 10 9 9 10 9 9 10 9 8 8 11 12 11 10 10 10 9 8 7 7 6 7 9 11 10 9 9 9 8 8 8 8 9 9 12 17 17 16 16 15 14 14 13 11 11 8 1 -4 -2 2 6 8 10 10 10 10 9 10 11 11 11 10 9 9 9 10 nan
nan 8 8 8 8 8 7 8 8 8 9 11 12 11 10 9 9 10 10 9 9 8 7 8 10 11 12 12 12 11 11 9 10 9 7 7 8 11 11 10 9 10 9 8 8 8 8 10 14 16 15 15 15 15 15 14 13 12 11 8 3 -1 -0 3 5 6 8 9 10 10 10 10 11 12 11 11 10 9 9 10 nan
nan 8 8 7 8 8 8 8 8 8 9 10 12 11 10 9 9 10 10 10 10 8 6 7 9 9 9 12 13 14 12 10 10 11 11 9 8 10 12 12 11 9 8 8 8 8 8 11 15 15 13 13 14 15 14 14 14 13 11 8 3 0 3 6 6 5 5 5 7 9 8 9 11 12 12 11 10 10 10 9 nan
nan 9 8 8 8 8 8 9 9 8 9 9 10 10 9 9 9 9 10 10 11 9 7 7 9 8 7 8 11 13 12 9 8 10 12 12 10 10 10 11 12 11 9 8 8 8 8 12 16 15 13 13 14 14 13 13 13 12 9 5 2 1 5 8 8 7 6 5 5 6 7 8 10 12 12 12 11 10 10 10 nan
nan 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 11 11 10 11 10 8 9 8 8 10 10 9 7 9 11 12 12 11 10 10 11 12 11 9 9 8 9 12 16 14 13 14 14 13 13 12 12 11 6 1 -0 3 8 8 8 8 8 8 8 7 6 6 8 11 12 12 12 11 10 11 nan
nan 11 10 8 7 7 8 9 9 10 10 9 8 8 8 8 8 8 8 8 9 10 12 14 11 8 9 11 10 9 9 10 8 8 9 9 13 13 12 10 10 11 10 9 9 9 10 12 15 15 14 14 14 13 13 13 11 10 6 1 -1 3 7 8 7 8 8 9 10 8 6 6 7 10 12 13 14 13 11 11 nan
nan 12 11 9 8 7 8 9 10 11 10 9 7 7 8 9 9 8 8 9 8 9 12 13 11 7 7 10 11 9 10 11 10 9 8 8 10 12 12 11 11 10 10 10 10 10 10 11 14 17 16 14 14 13 14 13 12 9 4 1 1 3 6 7 7 8 8 8 9 9 7 6 6 8 9 12 15 15 14 14 nan
nan 13 12 11 9 8 8 9 10 11 11 9 7 6 6 8 10 10 9 9 7 8 12 15 12 8 7 9 10 9 11 12 12 11 10 9 9 9 10 11 11 11 9 9 9 10 10 10 13 18 18 15 14 14 13 13 12 8 1 -1 3 6 5 6 8 10 8 7 8 8 8 7 6 6 7 9 13 16 17 20 nan
nan 13 13 13 11 10 10 10 10 10 9 8 7 7 7 7 9 9 9 8 8 7 10 13 13 11 10 9 10 10 11 13 13 12 12 11 10 9 9 10 11 11 10 9 8 8 10 10 12 17 20 18 16 14 13 13 13 9 2 -5 -0 6 5 7 9 12 10 7 6 7 8 9 9 7 6 6 10 14 17 21 nan
nan 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 7 7 9 10 9 10 10 9 10 10 11 10 9 11 13 12 12 12 12 10 9 10 10 11 11 12 12 9 7 8 9 10 14 20 21 18 15 13 13 13 11 4 -6 -5 3 6 7 10 12 12 9 5 4 5 9 11 10 7 6 7 10 13 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 1 1 0 0 0 1 4 9 14 14 11 8 8 11 14 15 16 17 22 28 34 35 36 37 41 46 54 70 91 109 120 124 124 122 125 136 137 125 111 105 112 120 111 92 83 97 131 162 167 157 145 136 129 120 107 101 94 85 75 66 53 25 9 2 0 0 1 2 2 1 0 0 0
0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 3 9 12 9 6 6 8 10 13 15 17 21 27 31 34 38 38 38 38 43 58 79 96 107 113 115 117 118 126 132 133 131 129 129 122 107 91 89 108 141 164 165 157 144 135 130 122 107 100 94 85 74 67 59 37 17 6 1 0 0 1 2 2 1 0 0
0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 5 10 9 6 6 7 8 10 14 17 21 26 29 31 33 35 34 32 32 41 61 82 98 106 109 110 111 115 121 128 134 140 139 125 107 94 98 120 151 162 161 156 148 139 134 123 107 97 92 84 72 61 55 42 24 10 2 0 0 0 1 2 3 2 0
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 10 9 8 7 7 8 11 15 19 23 26 26 27 29 30 29 26 28 42 66 89 104 107 106 105 106 109 116 126 137 140 128 110 100 108 132 155 159 157 156 154 150 144 130 112 97 88 81 70 54 47 39 26 12 4 0 0 0 0 1 2 2 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 11 9 8 8 10 12 16 19 22 22 22 23 25 26 24 24 30 50 78 101 110 107 104 101 102 108 118 130 135 127 114 107 116 137 155 155 153 153 156 157 154 142 122 102 88 81 72 53 41 33 23 12 4 0 0 0 0 0 1 2 1
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 5 10 13 14 13 12 10 8 9 11 15 18 18 18 19 20 22 24 23 25 37 60 88 107 111 106 101 101 106 115 124 128 124 115 110 117 137 151 151 148 148 152 157 157 147 131 110 93 82 74 57 42 30 20 10 4 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 4 7 12 15 16 13 10 8 8 9 12 14 14 15 16 17 19 22 25 26 31 45 68 94 108 110 106 104 106 113 121 124 122 115 110 114 134 148 146 143 142 145 150 151 143 132 118 103 89 77 61 46 32 19 9 4 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 1 1 2 4 7 12 13 12 11 11 11 11 12 13 12 12 13 15 17 21 25 28 32 38 51 73 96 110 113 110 108 112 119 122 122 116 109 112 132 145 143 138 136 140 141 137 129 123 118 111 98 81 62 45 30 18 9 4 2 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 1 3 6 8 10 12 13 14 13 12 12 10 10 11 13 15 18 22 27 32 36 41 55 79 101 115 117 112 110 117 122 123 119 114 115 129 140 141 136 132 132 134 128 117 108 106 108 105 87 65 43 27 17 9 4 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 1 4 6 8 9 10 12 12 11 10 9 9 11 13 15 18 22 28 33 38 45 63 86 107 117 115 110 114 120 124 123 119 118 125 134 138 136 130 126 127 124 113 98 91 98 105 95 74 50 30 18 11 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 1 2 3 3 6 10 10 10 10 10 10 10 10 12 14 17 22 29 36 44 55 72 92 108 113 109 110 116 122 124 122 118 118 122 128 131 129 121 120 120 113 97 83 86 96 96 85 67 46 28 17 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 1 4 6 8 10 10 10 9 9 10 11 13 18 25 34 44 53 64 77 92 102 103 105 110 117 122 120 112 107 106 110 116 122 118 114 114 111 101 87 81 85 88 88 81 68 48 30 18 11 7 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 5 7 8 8 7 6 6 8 10 14 21 33 44 52 59 67 77 87 92 96 101 109 116 115 106 96 89 89 94 104 108 107 106 106 103 95 84 78 77 80 83 82 69 48 31 21 15 8 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 1 2 4 5 5 4 4 4 4 7 11 18 30 41 50 56 60 66 74 80 85 92 100 107 106 99 88 77 71 73 83 93 98 100 100 101 99 91 78 68 66 73 82 78 60 43 33 27 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 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 2 4 8 15 26 36 45 52 56 60 64 68 74 81 90 98 99 93 83 70 60 57 65 76 87 93 95 95 97 95 84 69 58 60 71 75 67 53 42 36 32 21 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 1 1 2 2 1 0 1 2 5 12 20 29 39 47 53 56 58 59 62 68 78 89 94 91 82 70 57 49 52 62 74 83 88 89 92 94 88 74 59 52 60 69 70 62 49 40 37 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 1 0 0 0 1 3 9 15 22 31 41 50 54 55 54 53 56 65 79 89 91 86 74 61 50 48 52 62 72 79 82 86 90 89 80 64 50 50 57 65 66 57 44 37 32 21 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 2 6 10 16 24 34 45 53 55 54 51 49 54 69 82 88 88 80 70 59 52 50 54 61 68 74 80 86 88 84 70 52 44 45 54 63 62 48 37 30 21 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 1 3 6 11 18 26 40 51 57 57 53 47 47 57 69 79 84 83 76 67 59 53 51 54 60 66 73 81 86 85 77 58 44 38 41 50 56 49 38 27 18 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 2 4 7 12 20 32 45 54 57 54 48 43 46 54 64 74 79 78 73 66 59 54 51 54 58 65 72 78 80 76 63 49 38 33 36 42 43 37 27 18 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 2 3 7 12 22 35 45 52 52 47 40 36 39 47 58 69 74 74 72 66 60 54 54 55 58 63 68 70 68 62 53 42 33 28 31 35 35 30 22 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 1 3 7 15 24 34 42 47 46 38 30 27 31 41 56 67 72 74 71 66 59 55 53 54 56 59 60 58 55 51 46 38 29 26 28 30 30 26 20 12 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 1 2 8 16 25 34 41 43 38 29 22 22 29 45 59 69 73 72 68 61 55 51 49 50 51 51 48 45 42 41 38 30 24 22 22 24 24 19 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 19 27 33 37 36 32 25 21 24 36 51 63 69 69 64 58 51 46 43 42 42 42 39 34 30 28 27 24 20 16 15 16 16 15 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 22 28 32 34 33 29 23 21 27 39 52 60 62 57 52 46 40 37 35 35 34 31 26 21 16 15 14 13 12 10 10 10 10 9 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 26 30 32 31 28 22 17 17 24 35 45 49 48 44 40 37 33 31 30 28 26 22 15 9 6 6 6 7 7 6 6 6 5 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 3 8 18 25 27 27 25 23 18 13 11 12 18 26 32 36 36 35 33 32 29 26 24 21 17 12 5 2 1 2 2 3 4 4 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 2 7 16 22 23 22 19 17 14 11 8 7 8 12 17 22 25 26 27 28 26 23 20 16 13 8 4 1 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 2 6 12 17 18 17 15 14 12 9 6 4 4 5 8 11 14 16 18 21 21 20 17 13 9 6 4 2 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 0 0 0 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 10 11 12 11 10 8 6 3 2 1 2 4 5 6 6 8 12 14 15 14 12 9 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 1 3 4 6 6 6 4 3 2 0 0 0 0 1 2 2 2 2 4 7 9 10 11 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 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0