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 5 6 7 7 9 10 10 10 10 9 10 11 11 8 8 9 8 8 9 7 6 8 8 8 9 9 9 10 8 7 8 9 10 9 9 8 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 6 6 6 7 8 9 10 9 9 10 11 10 9 8 7 8 9 10 10 9 8 8 8 8 nan
nan 4 5 6 6 6 6 7 9 10 11 10 9 8 9 11 10 8 9 9 9 9 8 7 7 7 7 8 9 11 11 8 6 6 8 9 10 9 8 7 7 9 10 10 9 8 8 7 6 7 7 8 8 9 9 9 7 6 6 8 8 9 9 8 9 9 10 10 9 8 7 7 9 10 10 10 9 8 8 7 nan
nan 5 5 6 6 6 5 6 7 9 11 10 8 6 7 9 10 8 8 9 10 10 9 8 7 7 7 8 10 10 11 9 7 5 7 8 9 10 8 7 7 9 10 10 9 8 7 7 6 6 7 7 8 9 10 9 7 6 7 8 8 9 8 8 9 9 10 10 10 8 6 7 7 9 9 9 8 8 8 8 nan
nan 7 6 5 5 5 6 6 7 9 10 9 7 6 7 8 9 8 8 8 10 11 9 9 8 8 8 9 10 9 9 9 8 7 7 8 10 9 8 7 8 9 10 10 9 8 8 8 7 6 6 7 7 9 9 8 6 7 8 9 10 8 7 8 8 9 10 10 10 10 9 8 8 7 7 7 8 8 8 9 nan
nan 8 7 6 5 4 5 6 7 9 10 9 8 7 8 9 8 8 8 8 9 10 10 9 9 8 8 9 10 9 8 9 10 9 7 8 9 9 8 6 7 9 10 9 9 9 9 8 7 7 7 7 7 8 9 8 7 7 9 10 8 7 7 7 8 9 9 9 9 9 10 11 10 9 7 7 7 8 8 9 nan
nan 8 8 7 6 5 5 5 6 9 10 9 8 9 9 9 8 7 8 9 9 10 10 9 9 8 7 8 9 10 8 9 10 10 10 9 8 8 7 8 8 9 9 9 10 10 8 8 8 7 7 7 8 8 8 8 8 9 11 11 8 7 8 9 9 9 8 8 8 8 9 10 12 12 9 7 7 9 9 9 nan
nan 8 8 8 7 6 6 4 5 8 9 9 9 9 10 10 9 8 8 8 9 9 8 8 8 7 7 8 9 9 9 9 9 9 10 9 8 7 7 8 9 9 9 9 10 9 7 7 8 7 7 7 7 7 7 8 9 10 11 10 9 9 9 10 9 9 8 8 8 8 8 8 11 12 11 9 9 9 9 9 nan
nan 9 9 9 8 8 7 5 5 7 8 9 9 9 9 10 10 10 9 8 7 7 7 8 8 7 7 8 8 8 8 9 9 10 10 10 9 8 7 8 9 9 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 10 11 11 10 9 8 8 8 8 7 7 9 10 10 10 10 11 11 10 nan
nan 9 9 9 8 8 8 6 6 6 7 8 8 8 9 10 10 11 11 8 7 7 7 8 8 8 8 9 8 7 7 8 9 10 11 11 10 10 9 8 8 9 8 8 9 9 9 8 7 7 7 8 8 7 7 7 7 8 8 8 8 9 10 11 11 10 9 8 8 8 7 8 8 8 9 10 10 10 11 11 nan
nan 8 8 8 8 8 7 7 6 6 7 8 8 8 8 9 9 10 11 10 8 7 7 7 7 8 9 10 9 7 6 7 8 11 12 12 11 10 10 8 8 9 8 9 9 9 8 8 7 6 7 8 9 9 7 7 6 7 8 8 9 9 10 10 11 10 9 8 8 8 8 9 9 8 8 9 9 10 10 10 nan
nan 7 7 8 7 6 6 7 6 5 6 7 9 8 7 8 8 9 10 11 9 8 7 6 8 10 8 9 11 9 7 6 7 10 12 13 11 10 9 9 8 9 9 9 9 9 8 8 7 7 8 8 9 10 8 7 7 7 7 8 9 9 9 10 10 9 9 8 7 7 9 10 9 8 7 8 9 10 10 10 nan
nan 9 9 8 8 7 6 7 7 5 6 8 8 8 8 8 8 8 9 10 9 8 8 8 9 9 8 9 11 10 8 6 6 9 12 13 12 10 8 8 9 9 10 10 9 8 8 8 7 7 7 8 9 10 8 7 8 8 8 7 8 9 10 10 10 9 9 7 6 7 9 10 9 7 7 8 8 9 10 10 nan
nan 11 10 10 9 8 8 7 7 6 6 8 9 9 9 8 7 7 8 8 8 8 9 9 8 7 7 9 11 11 9 7 7 8 11 12 12 10 9 8 9 9 10 10 9 8 8 8 8 8 8 9 9 10 9 8 8 8 8 7 7 8 10 10 10 9 9 8 6 7 8 9 9 8 8 7 7 9 9 10 nan
nan 12 11 10 9 10 10 7 6 6 6 8 9 9 9 8 7 7 7 8 8 9 10 9 7 6 6 8 11 11 10 9 8 8 10 11 12 10 9 9 9 9 10 10 9 8 7 8 8 9 9 9 10 9 9 9 9 9 8 6 6 7 9 11 10 9 8 8 7 6 7 8 9 9 8 6 7 8 9 10 nan
nan 11 11 11 11 10 10 8 7 5 5 6 8 9 9 9 7 7 7 7 9 11 11 9 8 6 5 7 9 11 11 9 8 9 11 12 11 10 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 6 5 8 10 10 10 8 8 8 7 7 7 8 9 8 7 7 7 8 8 nan
nan 10 10 11 11 11 11 9 7 6 4 5 6 8 9 8 8 7 7 6 8 11 11 10 8 7 7 6 6 8 11 11 10 10 12 12 11 10 9 9 9 9 10 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 7 6 7 9 10 9 9 8 8 8 8 7 7 8 8 8 7 8 8 8 nan
nan 10 9 9 12 12 12 10 7 5 5 5 6 5 7 8 8 8 8 6 7 10 10 9 9 8 8 8 7 6 8 11 12 12 13 12 12 10 9 9 9 9 9 10 9 9 8 8 8 9 9 9 8 9 10 10 10 10 10 10 8 8 8 9 10 10 9 8 8 8 8 8 7 7 8 8 8 8 8 8 nan
nan 9 9 9 11 12 13 11 8 6 6 8 8 5 5 8 9 9 8 7 8 10 10 9 8 8 8 9 8 7 6 9 11 13 13 13 11 10 9 9 8 8 9 9 10 10 9 9 8 8 9 8 8 8 9 10 10 10 10 10 9 9 8 10 10 10 9 9 9 9 9 9 7 7 7 7 8 8 8 8 nan
nan 9 8 9 10 11 13 11 9 7 6 9 9 7 7 8 8 8 8 8 9 10 10 10 9 7 7 7 8 8 7 7 9 12 13 13 12 10 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 9 9 10 10 10 10 9 9 8 7 7 7 8 9 9 nan
nan 8 8 9 9 11 11 10 9 8 7 9 9 8 9 10 9 8 7 8 9 10 11 10 10 8 7 7 8 8 8 7 7 9 10 11 12 11 10 10 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 11 11 10 10 10 10 11 11 10 10 9 8 7 7 8 8 9 nan
nan 8 9 9 9 10 9 9 8 8 8 9 8 9 10 11 10 9 8 8 9 9 10 11 11 8 7 7 7 8 8 8 7 7 7 10 12 11 11 11 10 10 10 10 11 11 10 10 9 9 8 8 8 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 11 12 12 11 10 9 8 7 7 7 8 nan
nan 8 8 9 9 9 9 7 6 6 8 8 7 8 10 12 11 9 8 9 10 9 9 11 11 9 8 7 7 7 7 9 8 7 6 7 11 12 11 11 11 10 10 10 11 12 12 12 11 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 10 11 12 13 12 11 10 9 8 7 8 8 nan
nan 8 8 8 8 9 9 8 7 6 6 7 5 6 10 12 12 11 9 10 10 10 9 10 10 10 9 8 8 7 7 7 8 8 7 7 9 11 10 11 11 11 10 11 11 11 12 12 11 10 9 8 7 7 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 11 12 13 13 12 11 10 9 8 8 9 nan
nan 9 9 7 8 10 10 9 8 8 7 6 5 5 8 11 11 11 11 11 10 10 9 9 9 10 10 9 9 8 7 7 8 9 9 8 8 9 9 10 10 11 10 10 11 11 11 11 11 10 9 8 7 6 7 8 8 8 8 8 9 9 8 8 7 8 9 9 9 10 12 13 13 12 11 11 11 10 9 10 nan
nan 10 9 8 9 10 11 9 8 8 8 8 7 6 7 8 10 10 11 11 10 10 8 9 10 9 9 9 9 8 8 9 9 8 9 9 8 8 8 9 9 9 10 10 10 11 11 11 10 9 9 9 8 7 6 7 8 8 7 9 9 10 10 10 9 9 9 9 10 10 11 12 11 10 10 11 11 12 11 12 nan
nan 11 12 10 10 10 10 9 8 8 9 9 9 8 8 8 9 11 11 11 10 10 9 9 10 10 9 9 7 7 8 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 11 10 10 9 8 8 7 7 7 8 8 8 9 9 10 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 12 nan
nan 12 13 12 11 11 10 10 9 8 8 9 9 9 9 9 9 10 11 11 11 11 10 10 10 9 9 10 10 8 7 8 10 11 12 12 11 11 10 10 10 10 10 9 9 9 10 11 10 9 8 8 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 11 12 13 13 13 12 11 10 9 9 9 8 8 9 10 10 11 11 10 9 10 10 10 10 9 10 11 12 10 8 8 9 11 12 12 11 11 10 11 11 11 10 9 9 8 10 11 10 9 9 11 12 12 11 9 8 8 7 8 8 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 nan
nan 11 12 12 13 12 12 12 11 11 10 10 9 9 9 9 10 12 11 10 8 8 10 10 9 10 10 11 12 12 10 9 9 10 11 11 10 10 11 11 11 11 10 9 8 8 9 10 10 10 13 16 15 13 11 9 8 8 8 8 8 8 7 9 9 9 9 8 8 8 9 9 9 8 8 8 7 8 7 6 nan
nan 10 12 12 12 12 11 11 11 11 10 10 10 10 10 9 10 12 12 11 9 8 10 10 9 9 9 10 11 12 12 11 10 9 10 10 10 10 11 12 12 11 10 9 8 8 8 8 9 12 18 20 15 12 9 7 4 5 7 8 10 10 10 9 10 9 8 8 8 8 9 10 10 9 8 7 7 7 7 7 nan
nan 9 11 11 12 12 11 10 10 10 9 10 10 11 11 10 11 12 13 12 10 10 10 10 8 8 8 8 10 11 11 11 10 10 9 10 10 10 11 11 12 12 11 9 8 7 7 7 8 13 21 22 14 10 9 8 5 3 3 5 8 11 12 11 10 9 9 9 9 8 9 10 10 10 9 8 7 7 7 8 nan
nan 8 10 11 12 12 11 10 9 9 9 9 10 11 11 10 11 11 12 12 11 12 11 9 9 8 7 6 8 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 8 8 7 7 10 17 22 19 13 10 9 10 10 6 2 1 5 9 11 11 10 9 10 10 9 9 9 9 10 11 10 9 8 8 8 8 nan
nan 6 8 10 11 11 10 9 9 9 8 9 10 10 10 11 12 11 11 13 13 13 12 11 11 9 7 6 6 9 10 10 10 9 8 9 9 9 9 9 10 11 11 10 8 8 7 8 14 20 20 15 12 10 10 11 12 10 6 1 2 7 9 9 9 9 9 10 10 10 9 9 10 10 10 9 9 9 9 8 nan
nan 7 8 9 10 11 10 10 10 9 8 7 9 10 10 11 12 12 11 13 14 14 14 13 11 10 8 7 7 8 9 9 10 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 14 21 19 13 11 10 10 11 12 11 10 6 2 3 6 8 8 8 9 11 11 11 10 10 11 11 10 9 9 9 9 9 nan
nan 8 8 8 8 9 10 10 10 10 9 7 8 9 10 10 10 11 12 12 13 14 15 14 12 10 8 9 10 9 8 8 8 9 10 10 9 9 9 9 10 10 10 10 9 8 8 10 14 22 22 14 11 10 10 11 11 11 11 10 5 2 4 7 9 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 nan
nan 9 9 9 7 8 10 10 11 11 10 9 8 9 10 10 10 10 11 11 13 13 13 13 12 10 9 10 11 10 8 7 7 9 9 9 9 10 9 9 10 10 10 10 10 8 9 10 15 22 20 14 11 11 11 11 11 11 11 10 5 2 4 8 11 12 13 13 12 11 12 12 11 10 10 9 9 9 10 9 nan
nan 9 9 9 8 8 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 8 6 7 7 8 8 10 11 10 10 11 11 10 10 10 10 10 10 17 20 16 13 11 11 12 12 12 12 11 10 4 2 6 11 13 14 13 14 13 12 12 12 11 10 10 9 8 8 9 9 nan
nan 9 10 9 9 9 9 10 11 12 12 11 10 11 11 11 12 12 12 12 13 12 10 11 12 11 9 9 9 9 8 6 6 6 6 7 10 11 12 12 12 12 12 11 11 10 10 10 16 20 17 14 12 12 13 13 13 13 12 9 3 1 6 12 13 14 13 12 12 11 12 12 11 11 11 9 7 7 8 8 nan
nan 9 10 10 10 10 9 10 11 11 12 11 11 12 12 13 13 12 12 12 13 12 10 11 11 11 9 8 8 9 8 6 6 6 6 8 11 13 12 12 12 12 12 12 11 9 9 11 17 21 19 15 14 14 14 14 14 13 12 7 1 0 4 10 11 12 12 11 10 10 10 11 11 11 11 10 8 8 7 7 nan
nan 9 10 10 10 11 11 10 11 12 12 12 13 13 13 13 13 13 13 12 12 11 9 9 10 10 10 10 9 10 9 8 9 10 9 10 12 14 12 11 10 10 10 11 9 8 8 12 20 23 19 15 14 15 14 14 13 13 10 5 0 -0 4 9 11 11 11 11 10 10 9 9 9 10 11 10 10 9 8 8 nan
nan 8 9 10 10 11 11 11 12 12 13 13 13 13 12 12 12 13 12 12 11 9 7 7 9 9 9 10 11 11 10 10 11 14 13 12 12 13 12 10 10 9 7 7 8 8 7 14 22 23 18 13 13 13 13 13 12 11 8 3 -1 -2 3 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 8 nan
nan 9 9 9 10 11 12 12 12 12 13 13 12 12 11 11 10 11 11 11 10 8 7 7 9 9 7 8 10 11 11 11 12 13 13 12 12 11 10 9 9 9 8 7 9 8 7 14 22 20 15 12 11 11 11 10 10 9 6 0 -3 -1 5 9 10 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 nan
nan 10 10 10 11 12 12 13 13 13 13 12 11 10 9 9 9 9 10 10 9 8 8 10 10 9 9 8 7 8 10 11 11 11 11 10 12 12 10 9 9 9 9 10 10 10 9 14 18 17 14 12 10 10 10 9 8 7 3 -2 -3 3 8 9 9 9 10 11 11 10 9 9 8 8 8 8 7 7 8 8 nan
nan 10 11 11 11 12 13 13 12 12 12 11 10 9 8 8 8 8 8 8 7 8 10 11 10 9 9 10 8 7 8 8 8 9 9 9 12 14 12 10 9 10 11 11 10 9 11 14 17 16 14 11 10 9 8 8 8 7 2 -1 -1 4 8 8 8 9 10 10 10 10 9 9 9 10 9 8 8 8 8 8 nan
nan 12 12 12 12 12 13 12 12 12 11 10 9 8 7 7 7 7 7 7 7 9 11 11 9 8 9 10 9 9 9 9 8 8 8 9 11 13 13 12 11 11 11 10 10 9 12 16 17 16 13 11 9 7 7 7 8 5 1 -2 -1 4 6 6 7 8 9 10 11 10 9 9 10 10 10 10 11 10 10 10 nan
nan 13 13 13 13 12 12 12 11 11 10 9 8 7 7 8 8 8 8 8 7 8 11 12 11 9 8 9 9 9 11 11 10 10 9 10 12 13 13 14 13 12 11 10 10 11 13 18 19 17 13 10 8 7 6 7 7 4 -0 -2 2 6 6 6 7 8 8 8 9 10 9 10 10 10 9 9 11 12 13 16 nan
nan 15 16 15 13 11 10 10 10 10 9 8 7 7 8 8 9 8 8 8 7 7 9 12 12 11 11 11 11 11 12 11 10 11 12 13 14 15 15 14 13 12 11 11 11 12 15 19 20 18 14 10 7 7 6 7 7 6 1 -3 1 6 7 7 8 9 9 8 8 8 10 11 10 10 9 9 11 12 14 19 nan
nan 15 15 14 13 11 9 10 10 9 8 8 8 8 8 9 8 8 7 8 9 9 9 9 9 10 12 14 14 13 12 12 12 13 15 16 16 15 14 12 11 12 12 12 10 10 15 17 18 18 16 11 8 8 8 8 7 6 2 -4 -2 5 7 7 9 10 10 9 8 6 7 10 11 11 10 9 10 11 12 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
82 81 86 88 83 78 82 96 111 109 91 74 70 78 90 97 79 54 44 57 83 99 86 62 40 24 11 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 2 8 14 17 14 6 2 1 4 9
71 69 75 82 82 79 80 92 109 110 92 72 61 63 74 88 76 51 36 43 68 86 76 54 32 17 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 4 11 16 14 6 2 0 1 3
60 58 65 73 78 79 80 88 103 107 91 68 52 50 59 78 73 51 32 33 51 67 62 46 28 15 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 2 7 14 13 6 1 0 0 1
49 49 55 62 70 74 75 78 87 95 84 63 45 38 45 63 66 52 35 28 35 47 47 37 25 15 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 1 3 9 10 5 1 0 0 0
39 38 41 46 55 61 63 64 70 80 77 60 41 28 31 48 58 51 37 26 26 34 36 30 22 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 0 0 3 3 1 0 0 0 0
28 26 26 29 37 45 50 52 56 67 70 60 41 23 18 32 49 49 38 26 22 26 30 24 16 10 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
17 16 15 15 21 30 38 40 43 54 61 58 43 22 9 18 39 46 36 22 16 19 22 19 13 9 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
7 8 7 6 8 15 24 28 32 43 53 56 47 28 9 12 31 40 33 18 9 10 13 15 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 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
2 4 3 1 1 4 10 16 22 34 46 51 47 34 17 16 30 37 32 17 6 4 7 10 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 1 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 1 1 0 0 0 2 6 12 23 35 42 42 35 24 24 33 39 34 21 8 4 3 4 4 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 0
0 0 0 0 0 0 0 1 4 13 24 32 34 31 27 28 36 42 40 28 13 5 2 1 1 2 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 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 5 14 22 27 26 25 28 36 44 46 38 22 9 2 0 0 1 4 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 1 5 13 20 21 22 26 34 43 49 47 35 18 7 2 1 2 5 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 1 6 13 18 20 24 31 39 46 49 44 31 17 7 2 2 7 14 16 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 2 6 12 18 23 28 35 42 47 47 41 29 15 4 2 6 13 16 14 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 0
0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 20 26 32 38 44 48 45 35 21 9 2 3 7 11 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 0 0 0 0 0 0 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 15 22 28 34 40 44 44 38 27 15 4 1 2 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 0 0 0 0 0 0 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 17 24 28 33 40 42 37 29 19 8 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 0 0 0 0 0 0 0 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 18 22 27 35 37 34 27 20 12 5 1 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 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 17 22 28 30 28 22 17 12 6 2 0 0 0 0 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 2 6 12 17 21 22 20 16 12 8 4 1 0 0 0 0 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 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 15 15 14 11 7 5 3 1 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 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 10 11 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 7 6 5 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 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 5 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 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 11 11 10 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 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 15 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 18 18 14 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 0 0 0 0 0 0 0 0 0 0 1 7 14 19 19 14 8 3 1 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 1 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 2 7 14 19 19 14 8 4 2 1 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 1 3 4 4 3 1 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 1 6 12 18 20 15 10 7 4 3 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 1 3 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 1
0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 16 19 17 14 10 8 6 4 3 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 1 3 6 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 17 18 16 13 11 9 7 6 5 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 1 0 1 3 6 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 1
0 0 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 17 17 16 14 12 12 13 12 11 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 1 3 6 8 10 9 5 2 0 0 0 0 0 0 0 1 0 0 2
0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 9 17 21 21 20 18 17 19 20 20 17 13 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 2 4 7 11 13 14 10 5 2 1 0 0 0 1 2 4 4 5 7
0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 2 7 14 22 26 27 26 25 25 27 27 26 23 18 12 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 1 4 7 11 15 20 21 17 9 5 4 3 2 2 3 6 9 11 13 18
2 2 2 2 2 4 3 2 1 0 0 0 0 0 0 0 0 0 1 5 12 22 30 34 35 34 34 33 33 32 31 30 26 20 12 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 3 8 14 18 22 26 25 21 14 10 8 6 5 5 6 9 12 16 20 27
4 5 5 5 4 4 4 4 3 2 1 0 0 0 0 0 0 1 3 9 19 31 38 41 41 40 38 36 36 36 36 36 34 27 18 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 4 11 18 24 27 28 26 22 17 14 12 10 9 9 10 12 15 19 24 32
5 6 7 8 7 7 6 6 5 5 4 3 3 3 3 3 4 5 10 18 28 37 41 42 41 39 37 36 36 38 39 40 40 34 26 18 9 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 18 25 28 27 24 21 18 16 14 14 14 13 13 15 18 22 27 36
4 7 9 10 10 10 10 9 9 8 9 10 12 13 12 12 11 13 18 26 33 37 38 36 34 33 32 33 36 38 41 43 44 42 36 27 16 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 21 23 23 22 19 17 16 16 17 18 18 18 19 20 22 26 34
3 6 9 11 13 14 15 15 15 16 19 22 25 25 23 21 19 19 21 25 29 31 30 28 26 26 27 30 36 41 45 49 51 48 41 30 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 7 10 13 16 17 18 17 17 17 18 19 21 22 23 23 22 22 23 28
1 5 9 14 20 26 28 28 27 27 29 31 31 29 26 22 19 18 18 20 22 23 22 20 19 19 22 27 35 43 51 56 55 49 39 28 19 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 8 8 6 6 7 8 10 11 12 13 14 16 19 22 23 23 23 22 22 21 24
1 5 11 20 32 42 45 43 39 36 34 32 29 25 21 18 15 13 13 14 15 16 14 14 13 14 17 23 32 42 53 59 54 45 35 26 21 16 7 2 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 2 5 10 14 16 16 13 8 5 3 3 3 4 5 6 7 8 11 13 15 15 14 12 12 14 20
3 8 16 29 42 53 56 54 47 40 34 28 23 19 15 12 11 10 9 9 9 8 8 7 8 10 15 21 29 38 49 55 51 42 34 30 28 21 11 4 0 0 0 0 0 1 2 4 3 2 2 2 2 2 2 4 7 12 16 18 19 15 9 4 1 0 0 0 0 1 1 2 3 3 2 1 1 2 2 6 15
8 15 26 40 54 63 64 60 52 41 31 24 18 13 10 8 8 7 6 6 5 4 3 3 6 9 14 20 26 34 42 48 45 40 37 36 33 24 14 6 2 1 0 0 0 2 5 6 4 1 1 2 2 2 2 3 4 6 10 13 14 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 13 25
18 28 41 53 63 67 65 58 46 32 24 18 14 10 8 6 6 5 4 2 2 1 2 3 6 9 14 20 25 30 37 39 35 35 36 36 31 24 16 9 4 1 1 1 2 4 6 6 3 1 0 0 1 1 1 1 0 0 3 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 1 4 13 25 37 49 62
35 48 59 66 69 64 56 45 33 21 17 14 11 8 6 5 3 2 2 1 2 2 4 6 7 10 13 18 21 24 29 27 25 27 30 30 24 19 13 9 5 1 1 1 2 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 36 58 79 94 104
57 69 74 72 63 50 38 29 22 16 14 11 8 6 4 3 2 2 3 3 4 5 6 7 7 8 10 12 14 17 20 18 19 21 21 18 12 8 6 4 4 1 0 0 1 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 2 11 35 66 95 117 128
75 77 70 57 44 31 24 20 17 15 12 8 6 5 4 4 5 5 6 7 6 6 6 5 4 3 4 6 9 13 18 19 19 17 12 6 3 1 1 0 1 0 0 2 4 6 7 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 2 8 30 60 92 118 134