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 5 5 6 7 8 9 10 10 9 9 10 12 12 10 7 8 9 8 9 9 5 5 8 8 8 9 9 10 10 8 8 7 8 9 10 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 6 6 7 8 8 10 10 9 9 10 10 9 9 8 7 7 8 8 7 7 7 8 8 8 nan
nan 4 5 6 6 6 6 8 9 9 9 9 9 10 11 10 8 7 9 9 9 9 7 6 7 7 8 9 10 11 11 9 7 7 7 9 9 9 8 7 8 8 9 9 9 8 8 7 8 8 8 7 7 8 9 9 7 6 7 8 8 9 9 8 8 8 9 10 10 8 6 6 8 8 7 7 7 7 7 8 nan
nan 5 4 5 6 6 6 6 8 10 10 9 8 7 8 10 9 7 8 9 10 10 9 7 7 7 7 8 10 11 11 10 7 6 7 8 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 6 7 8 9 9 8 7 8 9 10 9 8 8 8 8 9 9 9 9 7 7 8 8 8 7 7 7 8 8 nan
nan 6 6 5 5 6 6 6 8 10 10 9 8 6 7 9 9 8 8 8 9 10 9 8 8 8 8 9 10 10 10 10 9 7 8 9 9 9 8 8 8 9 10 9 9 8 8 7 6 6 7 7 7 7 8 8 8 8 10 11 10 8 8 8 8 9 9 9 9 9 8 9 9 9 8 7 8 7 8 8 nan
nan 8 8 6 4 4 5 6 7 10 10 9 8 7 8 9 8 7 8 8 9 10 10 9 9 8 7 9 10 9 8 9 10 10 10 9 9 9 7 7 9 9 9 9 9 9 8 7 7 6 7 7 7 7 7 7 7 9 10 11 9 8 8 8 9 9 9 8 8 9 9 10 11 10 8 7 8 9 9 8 nan
nan 8 8 7 6 4 5 6 7 9 10 9 8 8 9 9 7 6 7 8 9 9 9 9 9 9 7 8 10 9 8 8 9 10 11 10 8 8 7 8 9 9 9 9 9 10 9 8 8 6 6 7 7 7 7 7 7 8 10 10 8 8 9 9 9 9 8 8 8 8 8 9 11 11 9 8 8 10 11 10 nan
nan 8 8 7 6 6 6 5 6 9 9 9 8 9 10 10 8 7 7 8 8 9 8 8 8 8 7 8 9 9 9 9 8 9 10 10 8 7 7 8 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 8 9 10 9 9 9 8 8 8 8 7 8 9 10 10 8 9 10 11 10 nan
nan 9 8 7 7 7 7 6 6 9 9 8 8 9 10 10 9 9 8 7 7 7 7 8 9 8 7 8 9 8 9 9 9 9 9 9 9 8 7 8 9 9 9 9 9 9 9 8 8 8 8 7 8 7 7 7 7 8 8 7 8 9 10 9 9 8 8 8 8 8 7 7 9 9 9 8 9 11 10 10 nan
nan 9 8 8 7 7 7 6 6 7 8 8 8 9 10 10 10 10 10 8 7 7 7 8 9 9 9 9 9 7 7 9 10 10 10 10 10 10 9 7 8 9 9 10 10 9 9 9 8 7 8 8 8 7 8 7 7 8 8 7 8 9 10 10 10 9 8 8 8 7 8 8 8 9 9 9 9 10 11 10 nan
nan 7 7 7 6 6 6 7 6 6 7 8 9 8 8 9 9 10 10 9 8 7 7 7 8 9 9 11 10 7 7 7 9 11 11 11 10 10 10 8 8 9 9 10 10 10 10 9 8 7 8 9 8 8 8 7 7 8 8 9 9 9 10 11 11 9 8 7 7 7 9 9 9 9 9 9 10 10 10 10 nan
nan 7 7 7 7 5 4 7 6 6 7 8 8 8 8 8 8 9 10 10 9 8 7 7 9 11 9 9 11 9 7 7 9 11 12 11 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 8 7 8 8 9 9 10 10 10 10 11 10 8 7 6 7 9 10 9 8 9 10 10 10 10 11 nan
nan 9 8 8 7 6 5 6 6 5 6 8 9 8 7 8 8 8 9 10 9 8 8 9 10 11 10 10 12 10 7 7 9 12 12 11 10 9 9 9 9 9 9 9 9 9 10 9 9 8 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 9 8 8 6 7 9 10 10 9 8 9 10 10 10 11 nan
nan 11 10 10 9 8 7 6 6 5 7 9 9 8 8 8 8 8 8 9 9 8 9 10 9 8 9 10 12 10 9 8 9 11 12 11 10 9 9 9 9 9 10 9 8 8 9 9 9 9 9 9 10 9 9 9 9 9 8 7 7 8 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 9 11 nan
nan 12 12 11 9 10 9 7 6 5 6 8 8 9 9 9 8 8 8 8 9 10 10 9 7 6 7 9 11 11 10 8 9 10 11 11 10 10 10 9 9 9 10 10 8 8 7 8 9 8 8 9 9 10 10 10 10 9 7 6 6 6 8 10 10 9 8 8 8 7 8 9 9 9 8 7 7 8 9 10 nan
nan 12 12 12 11 10 10 8 6 5 5 6 8 8 9 9 8 8 8 8 9 11 11 9 7 7 7 8 11 12 11 9 8 10 10 11 11 10 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 10 10 11 11 9 8 6 5 5 8 10 9 9 8 8 8 8 8 8 9 9 9 8 7 8 9 9 nan
nan 10 10 11 12 12 11 9 7 5 4 5 6 7 8 9 9 8 8 8 9 11 10 9 7 7 7 7 8 10 11 10 9 10 11 11 11 10 9 9 9 10 10 10 9 8 8 7 8 9 9 9 9 10 10 10 11 10 8 7 6 6 7 9 9 8 8 8 8 8 8 8 8 8 9 9 8 9 8 8 nan
nan 9 8 9 11 12 13 10 8 6 5 5 5 5 7 9 9 8 8 7 8 10 10 9 7 7 8 8 8 8 9 11 11 11 11 12 11 10 10 9 9 9 10 10 9 8 8 7 7 9 10 9 9 10 10 10 10 10 9 9 8 7 7 8 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 nan
nan 8 8 9 10 12 13 12 8 7 6 8 8 5 6 8 10 9 8 7 8 10 10 9 8 7 8 9 8 7 8 9 10 12 12 13 12 12 11 11 9 9 9 10 10 9 8 7 7 10 10 10 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 7 7 9 10 11 13 12 9 7 7 10 9 7 7 9 9 8 8 8 9 10 10 9 8 8 7 8 8 8 7 7 9 11 12 12 13 13 13 11 10 10 11 10 10 9 9 8 9 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 9 9 nan
nan 8 7 8 9 10 11 11 10 8 8 9 10 9 9 10 9 8 7 8 9 10 10 10 9 8 7 8 9 9 9 7 6 8 10 11 12 12 12 11 10 11 11 12 11 10 9 9 10 11 10 10 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 11 11 11 10 9 9 10 10 9 nan
nan 9 8 8 8 9 10 9 9 9 9 9 10 10 10 11 10 8 7 8 9 9 10 11 11 9 7 7 9 9 10 9 7 6 7 10 11 10 9 9 9 10 10 11 11 10 9 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 9 10 10 nan
nan 9 8 8 8 9 9 8 7 7 7 8 9 10 11 11 10 9 8 8 9 9 9 11 11 10 9 8 8 8 9 11 9 7 6 8 11 10 7 6 7 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 nan
nan 9 9 8 8 9 9 8 6 5 5 6 7 8 10 12 12 10 9 9 10 10 10 9 10 11 10 10 9 9 9 9 8 7 7 7 12 12 9 7 7 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 9 10 10 10 10 10 10 9 9 8 8 8 9 9 9 nan
nan 9 9 8 9 10 10 9 8 7 7 6 6 8 10 11 11 11 10 10 10 10 10 9 10 11 11 11 10 11 10 8 7 6 7 8 12 14 12 10 10 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 8 9 9 9 8 9 10 10 10 9 9 9 9 9 9 9 nan
nan 9 9 9 9 10 11 9 9 9 9 8 8 9 9 10 10 10 10 11 10 10 9 10 11 11 10 10 10 11 11 10 8 5 6 8 11 13 13 11 10 10 10 9 9 9 9 9 9 9 9 10 10 9 7 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 10 11 10 9 9 9 9 9 9 9 nan
nan 9 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 10 12 11 10 9 10 10 10 11 10 9 9 9 11 13 13 11 9 9 9 9 9 9 8 8 8 9 8 9 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 8 9 9 10 10 10 9 9 10 10 9 9 nan
nan 9 11 11 11 11 11 10 8 8 8 9 9 10 10 11 10 10 9 9 10 11 10 9 10 10 10 11 11 11 10 10 11 12 13 12 12 13 12 11 9 9 9 8 8 8 9 8 8 8 8 8 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 8 nan
nan 10 11 11 11 12 12 11 9 9 9 9 8 9 10 10 11 10 8 8 8 10 10 10 9 9 10 11 12 12 11 11 12 12 12 11 11 11 10 10 10 9 9 8 7 8 9 9 8 8 9 9 10 11 10 9 8 8 7 8 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 nan
nan 10 10 10 10 10 11 11 10 11 10 9 8 8 9 10 11 11 9 8 7 7 9 9 9 9 10 10 10 11 12 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 8 9 8 9 12 14 12 10 9 7 6 8 8 8 8 8 7 8 9 9 9 9 9 9 9 9 9 10 10 9 10 10 9 8 nan
nan 12 11 10 9 9 9 10 10 10 10 10 9 9 10 10 12 12 11 9 7 6 8 9 9 9 9 10 8 9 11 11 10 10 9 10 10 9 10 10 9 9 8 8 8 7 8 8 9 11 18 19 13 11 9 6 2 3 6 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 9 10 10 9 9 9 nan
nan 12 12 11 9 9 9 9 8 9 9 9 9 9 10 11 12 13 13 10 8 7 6 8 8 9 8 8 7 8 9 10 10 9 9 9 8 8 9 10 10 9 9 8 7 7 7 6 8 13 24 24 15 12 11 9 4 1 1 4 7 9 10 9 9 9 10 10 10 9 9 9 10 9 9 10 10 10 10 9 nan
nan 11 12 12 11 10 9 8 8 8 9 9 9 10 10 11 12 12 13 12 10 9 7 7 8 7 6 5 6 8 8 9 9 9 9 7 7 8 8 9 10 10 10 9 7 8 7 6 9 16 23 22 16 13 13 12 9 4 -0 -1 4 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 11 11 10 10 nan
nan 9 11 12 12 11 9 8 8 9 9 8 10 11 11 11 12 12 12 13 12 11 10 9 9 7 5 4 5 8 9 10 9 8 8 8 7 7 7 8 10 11 12 11 10 9 9 8 12 19 21 18 15 13 12 12 11 8 4 -1 1 7 8 8 9 10 10 10 10 9 10 10 10 10 10 10 10 11 11 10 nan
nan 7 9 11 12 11 9 8 8 8 7 7 9 11 12 12 12 13 13 13 13 12 11 11 11 9 7 6 6 7 8 9 9 9 9 9 8 7 6 7 9 12 13 14 12 10 9 9 13 20 19 14 12 11 11 10 9 9 7 3 1 4 6 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 nan
nan 7 9 10 11 10 9 9 8 8 6 7 8 10 11 11 12 13 13 12 12 12 12 12 11 9 7 7 8 8 7 8 9 10 10 10 9 8 8 8 10 11 13 13 12 10 9 10 12 20 20 13 10 9 9 8 7 7 7 6 3 2 5 8 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 nan
nan 7 8 9 9 10 10 9 9 9 8 9 10 10 11 12 11 11 11 11 10 10 11 11 11 9 9 8 9 9 8 7 8 9 10 9 9 10 9 10 11 11 11 11 10 9 8 10 15 20 18 12 9 9 8 8 7 6 5 5 3 2 4 8 11 11 10 10 10 10 11 10 9 9 8 8 8 8 7 8 nan
nan 7 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 10 10 10 9 9 9 8 6 7 7 8 8 9 10 11 11 11 11 10 9 9 9 9 9 17 21 15 12 9 8 8 8 7 6 5 4 1 -0 4 8 11 11 10 10 11 11 10 10 9 9 8 8 8 7 8 8 nan
nan 8 9 9 9 10 11 11 13 13 13 12 11 11 11 11 11 10 10 10 9 9 7 7 10 10 9 9 9 8 8 6 5 5 6 7 10 11 11 11 11 10 9 8 8 8 8 9 16 21 18 13 10 9 9 8 7 7 6 5 1 -0 3 7 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 8 nan
nan 9 9 10 10 11 12 14 15 15 14 12 11 11 10 10 10 9 8 9 9 9 7 8 10 11 9 9 8 8 8 6 5 4 5 7 10 11 11 11 10 9 9 8 7 8 8 10 17 22 20 14 10 10 10 8 7 6 6 4 1 -0 2 5 8 9 10 10 10 10 11 11 11 11 11 10 10 10 9 9 nan
nan 9 10 11 12 13 13 14 14 14 13 12 11 11 10 9 9 9 9 8 8 7 7 8 9 10 10 10 10 10 9 8 8 7 5 7 10 11 11 10 10 9 10 9 8 7 7 11 19 23 19 14 11 10 9 9 7 6 6 4 2 0 2 5 7 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 nan
nan 10 11 12 13 13 12 13 13 12 11 11 11 10 9 9 10 10 9 9 9 7 6 7 8 8 8 10 12 12 11 9 9 11 10 9 10 11 11 10 9 10 9 8 8 7 7 12 22 23 18 14 11 10 9 8 8 6 6 4 1 1 3 6 8 7 8 8 8 9 9 9 10 10 10 10 10 10 10 9 nan
nan 12 12 12 12 12 12 11 10 10 10 10 10 9 8 8 9 9 9 9 9 8 6 7 9 9 7 7 10 12 12 9 8 11 12 12 11 10 10 10 10 9 8 8 8 8 7 13 21 21 18 14 10 9 9 8 8 5 3 2 1 1 4 7 8 8 9 9 8 8 8 8 9 10 10 9 9 9 8 8 nan
nan 14 13 12 12 11 10 10 9 9 10 9 8 8 8 7 8 8 8 9 9 9 9 10 10 9 9 8 8 9 10 9 8 9 10 11 11 12 11 10 10 10 9 8 8 8 9 14 20 20 17 14 10 9 9 8 7 5 2 -1 0 3 6 7 8 9 10 10 10 9 9 9 9 11 10 9 9 9 8 8 nan
nan 14 13 11 10 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 8 8 10 12 10 9 10 11 10 9 9 8 8 9 9 10 12 14 13 12 10 10 10 9 9 9 10 14 20 22 19 14 10 9 8 8 6 5 2 -1 -1 3 7 8 8 9 9 10 10 10 9 9 10 11 11 11 11 10 9 9 nan
nan 13 12 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 10 12 12 10 8 9 10 11 10 10 10 10 9 9 9 12 14 14 13 11 10 10 9 9 10 11 15 20 24 20 14 10 9 9 7 6 4 1 -0 1 4 7 8 8 9 9 9 10 10 10 10 9 9 10 11 12 12 12 11 nan
nan 12 11 11 10 9 9 9 8 9 9 9 8 8 8 9 10 9 8 8 8 8 12 14 13 10 9 10 10 10 11 12 12 10 10 10 12 13 14 13 12 10 9 9 10 11 11 14 20 25 22 14 10 9 9 7 5 3 0 1 3 7 8 8 8 9 9 8 9 10 10 10 10 9 9 9 11 12 15 17 nan
nan 13 12 11 10 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 8 8 10 13 14 13 12 12 11 11 11 12 12 11 12 12 12 14 14 13 12 11 10 10 10 10 12 15 19 24 23 17 11 9 8 6 5 5 4 2 4 7 8 9 10 10 10 8 8 9 9 10 10 10 9 9 11 12 15 20 nan
nan 12 11 11 10 9 9 9 9 9 9 10 9 9 9 10 10 9 9 10 10 10 11 11 11 12 13 14 13 12 11 12 12 12 12 12 13 14 13 12 11 12 13 12 8 7 11 14 18 22 24 19 13 10 8 5 5 7 6 2 1 6 7 8 10 11 11 10 8 7 8 9 10 11 10 10 11 12 13 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
74 80 87 86 81 82 92 105 106 86 69 70 90 108 102 70 41 25 23 39 63 70 45 18 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 2 5 6 5 3 1 1 1 1 1 0 0 0 0 2 12 28
66 71 80 87 85 81 85 99 111 98 74 66 82 105 106 73 41 22 14 24 46 55 38 18 8 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 2 5 5 2 1 0 0 0 0 0 0 0 0 0 3 12
56 60 71 83 87 84 81 89 109 107 81 62 71 96 106 79 47 25 11 12 26 35 27 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 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 3
47 48 59 74 84 84 77 76 90 100 84 64 61 78 92 80 54 32 16 10 13 18 16 12 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0
37 35 42 57 71 76 71 64 71 86 82 66 55 59 73 73 57 38 22 12 8 10 10 8 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 0 0
25 20 23 36 52 64 64 58 57 70 76 68 54 46 53 58 51 38 24 13 7 6 6 5 3 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
12 8 9 18 33 48 56 53 49 56 65 65 55 42 38 41 39 31 19 8 3 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 0 0 0 0 0
3 2 2 6 16 31 44 47 45 47 54 58 54 43 33 30 28 22 11 2 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 1 4 14 27 36 40 42 46 49 49 43 34 28 23 16 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 0 0 0 0 0 0 0 0
0 0 0 0 0 4 12 22 29 34 37 38 38 37 34 29 24 16 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
0 0 0 0 0 1 3 9 16 22 27 28 28 29 29 28 26 21 13 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 0 0 0 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 15 20 22 21 22 24 26 26 21 12 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 1 2 5 11 16 16 14 17 23 28 29 22 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 1 2 3 2 1 1 0
0 0 0 0 0 0 0 0 0 0 1 4 8 10 9 11 17 25 30 28 18 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 1 4 8 8 6 4 3 3
0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 8 14 20 27 29 23 14 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 0 0 0 0 0 1 4 9 12 12 10 8 6 5
0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 18 22 25 23 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 2 7 13 16 16 14 12 10 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 15 16 17 17 12 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 0 0 0 0 0 3 8 16 19 19 17 15 13 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 11 10 9 10 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 2 7 14 18 18 16 14 12 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 5 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 0 0 0 0 0 0 0 0 0 0 1 6 13 16 16 14 11 9 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 17 16 12 8 6 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 0 0 0 0 0 0 0 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 16 18 16 12 8 4 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 0 0 0 0 0 0 0 0 0 0 1 6 11 13 12 10 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 0 0 0 0 0 0 0 0 0 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 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 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 4 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 0 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 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 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 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
0 0 1 3 4 6 7 6 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 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 8 10 11 10 8 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 0 0 0 0 0 0 0 0 0 0
2 4 6 8 9 10 11 13 14 13 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 0 0 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 5 9 11 13 14 13 12 11 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10
3 7 11 14 17 16 11 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10
5 8 11 13 14 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
8 8 9 9 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 8 6 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 1 1 1 2 2
9 5 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 0 0 0 0 0 0 0 0 0 0 0 0 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 10 9 6 5 6 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 9 9 8 9 15 20 25
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