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 8 7 5 6 8 8 8 8 8 9 10 10 10 10 9 8 8 9 9 8 9 7 7 9 10 11 11 12 13 12 11 9 9 9 8 8 9 9 9 10 10 10 9 9 8 7 7 8 8 8 7 7 7 8 9 8 7 8 8 9 10 8 7 6 7 7 7 7 8 10 12 14 14 14 13 13 11 10 9 nan
nan 8 8 7 6 6 6 6 7 7 8 8 7 8 9 10 9 9 9 9 9 10 9 8 9 10 10 11 12 13 12 10 9 8 9 9 8 9 9 8 9 10 9 9 8 7 7 7 7 8 8 7 7 7 9 9 9 7 8 9 9 9 8 8 7 7 8 8 8 9 10 12 13 13 12 13 13 12 11 10 nan
nan 9 8 8 7 6 5 5 7 8 7 7 7 7 8 10 9 9 10 10 11 11 11 11 10 10 10 10 11 11 12 11 10 9 8 8 9 9 8 8 8 9 9 8 8 7 7 7 7 8 8 7 7 8 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 11 11 10 11 11 11 10 10 10 nan
nan 9 8 8 8 7 6 6 7 8 8 7 7 7 8 9 10 11 10 10 11 12 12 12 11 10 10 10 10 10 11 11 10 10 8 7 8 8 7 8 7 8 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 10 9 8 8 8 9 9 9 8 9 10 10 10 9 8 8 9 9 8 8 9 nan
nan 9 9 8 9 8 7 7 7 8 8 8 8 7 8 9 9 10 11 11 11 11 11 12 11 10 10 10 9 9 10 11 11 10 9 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 8 8 8 7 7 8 9 10 9 8 9 10 10 9 8 8 8 9 9 8 8 8 8 7 7 7 7 7 nan
nan 9 9 9 9 8 7 7 8 9 9 8 8 8 8 9 8 8 10 11 11 11 11 11 12 11 10 10 10 9 11 12 12 11 9 9 8 7 7 7 7 7 8 8 9 9 8 9 8 8 8 8 8 9 8 6 6 8 9 9 9 10 10 11 10 9 8 7 7 7 7 7 7 7 7 6 6 5 6 5 nan
nan 10 9 9 9 9 8 7 8 9 9 8 8 9 10 9 8 8 8 10 10 10 10 10 11 11 9 9 9 9 10 11 12 11 10 9 8 7 7 6 6 6 6 7 8 8 9 8 8 8 8 9 7 8 9 7 6 7 8 9 9 11 11 11 10 8 7 7 7 6 6 7 7 7 6 6 6 5 5 5 nan
nan 10 10 10 9 9 8 7 8 8 8 8 8 9 10 10 9 9 9 10 9 9 9 10 10 10 8 8 9 9 8 9 11 12 11 10 9 7 6 6 6 6 6 7 8 8 8 8 8 7 7 8 7 8 9 7 7 7 8 8 9 11 11 11 10 8 7 6 6 5 5 6 6 6 6 6 6 6 5 6 nan
nan 11 11 10 9 9 8 7 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 8 9 12 13 13 11 9 7 6 7 7 7 8 8 8 9 9 8 7 7 7 8 8 8 7 7 8 9 8 9 9 10 11 10 8 7 6 6 5 5 6 6 5 6 6 6 7 7 8 nan
nan 11 11 10 9 9 9 9 8 8 8 8 9 10 10 10 10 11 11 10 9 8 8 9 9 9 9 10 9 8 7 7 6 9 13 14 13 11 8 7 8 9 9 9 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 8 9 10 10 8 7 7 6 6 7 7 6 6 6 6 7 8 9 9 nan
nan 11 10 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 11 11 9 8 8 9 9 9 9 9 8 8 8 7 5 6 9 11 12 12 11 11 10 10 10 10 9 7 7 8 8 7 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 7 7 6 6 7 8 8 7 7 7 8 9 10 9 nan
nan 13 12 10 9 10 11 11 10 10 10 10 11 11 13 14 13 11 11 10 10 10 10 10 10 9 8 7 8 8 8 7 6 5 6 8 9 11 12 13 13 11 10 9 8 7 7 8 8 7 8 7 8 8 8 8 9 9 8 7 8 9 9 9 8 8 8 7 6 6 7 8 8 7 7 8 9 10 10 10 nan
nan 15 14 12 11 12 12 12 11 10 10 10 12 14 15 15 14 12 11 10 11 11 11 9 8 8 7 7 8 8 9 8 7 5 5 6 8 9 10 12 13 12 10 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 7 6 7 8 9 10 9 8 7 7 7 7 7 8 8 8 8 8 8 9 10 10 nan
nan 15 15 14 14 14 13 10 10 10 10 10 10 13 14 14 13 11 11 11 10 11 10 8 8 7 7 7 8 9 9 9 8 6 6 6 7 8 9 10 12 12 10 8 7 7 7 8 8 8 8 7 6 7 8 8 8 7 7 6 5 6 8 9 9 8 7 7 8 8 8 8 9 8 8 8 8 9 10 10 nan
nan 12 15 15 15 14 10 7 8 10 11 10 11 11 12 12 11 10 10 11 11 11 10 8 7 7 7 6 7 8 9 9 8 7 8 8 8 8 8 9 11 12 10 8 7 8 8 8 8 8 8 7 7 7 8 8 8 7 6 5 5 6 7 8 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 nan
nan 8 12 13 14 11 7 4 6 10 11 11 11 11 10 10 10 10 9 10 10 10 9 8 8 7 7 6 5 7 9 10 9 9 9 8 8 9 8 8 10 10 10 9 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 9 9 9 9 8 8 8 9 10 10 10 10 9 nan
nan 6 9 11 11 10 6 4 6 9 11 12 11 10 10 10 10 10 10 10 10 9 8 8 7 7 8 7 6 6 9 11 10 9 9 8 8 8 9 9 9 9 10 9 8 9 9 9 10 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 nan
nan 8 10 10 10 9 8 8 8 9 11 10 8 8 9 10 10 10 9 10 10 9 8 7 7 8 8 8 7 8 11 11 11 11 10 9 9 8 8 9 9 9 9 9 8 8 9 10 9 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 nan
nan 10 10 10 10 10 11 11 11 10 9 8 7 6 7 8 9 9 8 9 9 10 9 8 7 7 8 9 9 10 12 12 10 11 10 10 9 8 7 8 9 9 9 8 8 9 9 9 9 9 8 7 6 6 6 7 8 8 9 10 10 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 8 7 7 nan
nan 12 12 12 11 11 13 14 12 10 8 7 7 6 6 7 9 10 9 8 8 9 9 9 7 6 7 8 9 10 11 10 9 9 9 10 10 9 8 8 8 9 10 9 9 9 9 9 9 9 8 7 7 6 6 6 7 8 9 10 10 10 10 10 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 nan
nan 12 14 14 14 14 15 14 12 10 9 8 7 6 7 8 11 11 10 8 8 7 7 8 8 6 6 7 8 9 9 8 8 8 8 9 10 10 9 8 8 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 nan
nan 11 12 14 15 16 15 12 10 9 9 8 7 7 9 10 11 10 10 9 8 7 5 7 8 7 7 8 8 8 7 8 8 7 7 8 10 11 10 9 9 10 9 9 8 8 8 8 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 8 7 7 8 9 nan
nan 11 12 12 13 12 11 9 7 7 7 6 7 8 10 10 9 8 9 9 8 7 6 6 8 8 9 9 9 8 7 8 8 7 7 7 9 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 10 11 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 11 nan
nan 12 14 13 11 9 6 5 6 6 6 5 6 8 9 8 7 7 9 9 8 6 5 6 8 10 10 10 10 9 8 8 8 8 8 6 8 11 11 11 9 9 10 10 10 10 9 8 7 7 6 6 7 8 8 9 9 10 11 11 10 9 9 8 8 8 8 8 8 9 10 10 10 10 9 11 11 11 11 11 nan
nan 12 14 13 12 10 6 5 6 7 8 8 7 6 6 5 6 7 8 8 6 5 5 7 10 11 10 9 9 9 9 8 7 6 8 7 7 10 11 11 10 10 10 9 9 9 9 8 7 7 6 5 5 5 6 8 9 10 11 12 11 10 9 8 8 8 8 8 8 8 8 9 10 11 10 11 12 12 12 12 nan
nan 12 13 13 13 11 10 8 8 10 11 11 9 6 6 6 6 6 7 6 5 7 8 11 13 11 8 8 9 10 10 8 6 5 6 7 8 10 11 12 12 12 11 10 9 8 8 8 7 7 7 7 7 7 7 8 9 10 10 11 11 11 10 8 8 7 8 7 8 7 8 9 10 11 11 11 12 12 13 13 nan
nan 10 11 13 13 13 13 12 11 12 12 11 9 8 7 6 6 7 6 4 6 13 16 14 12 9 8 8 10 12 11 8 6 5 5 7 8 10 12 12 13 13 13 12 10 8 8 9 8 9 10 11 11 10 11 10 10 10 9 10 11 11 11 9 8 7 7 7 8 8 8 9 11 11 11 11 12 12 12 12 nan
nan 8 10 12 13 14 13 13 13 12 11 9 8 8 8 7 6 6 5 4 8 17 19 15 11 8 7 7 10 12 12 10 9 8 7 7 9 10 11 12 12 12 13 13 11 9 8 9 8 9 11 13 13 13 13 12 11 10 9 9 10 10 11 11 9 8 7 7 8 8 9 10 11 11 12 12 12 11 11 11 nan
nan 9 10 11 12 12 11 11 12 11 9 8 7 8 9 9 8 6 4 6 10 16 17 14 11 9 7 6 8 10 12 12 12 12 10 9 11 10 10 10 10 12 13 14 13 11 10 10 9 9 10 11 13 13 13 15 14 10 8 8 8 8 9 10 9 8 8 8 8 9 9 10 10 11 11 11 12 13 12 11 nan
nan 10 9 10 10 9 9 10 10 9 9 7 6 7 9 10 8 6 7 10 13 15 15 11 9 8 7 6 6 8 9 11 12 12 11 11 11 10 9 9 9 10 11 12 12 12 11 12 11 9 7 7 10 11 12 13 11 8 5 3 4 6 7 7 8 9 8 9 9 8 8 9 9 9 10 10 11 12 12 13 nan
nan 9 9 8 8 8 8 8 8 8 8 7 6 5 5 4 4 6 10 13 14 15 13 10 8 7 6 6 7 7 8 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 7 5 4 7 8 8 8 7 4 2 2 4 5 6 7 8 9 9 9 8 9 8 8 8 8 8 8 9 10 11 14 nan
nan 9 9 7 7 7 7 6 6 6 6 6 6 4 2 1 3 8 13 15 15 15 13 9 7 6 5 5 8 9 10 10 10 8 7 7 7 8 8 9 9 10 10 9 8 9 9 8 7 5 5 5 6 5 3 3 4 3 2 3 6 7 7 7 8 9 9 9 8 8 8 8 8 7 7 8 8 9 11 13 nan
nan 9 9 7 7 7 6 6 5 5 5 4 3 3 4 7 11 15 17 18 17 16 14 10 8 6 6 6 7 10 11 11 10 8 7 7 8 9 10 11 12 12 12 11 10 9 8 7 6 6 6 6 6 4 2 1 1 3 4 5 6 7 7 7 7 8 9 8 8 8 8 8 8 9 9 9 9 11 13 15 nan
nan 9 9 8 7 6 6 6 6 6 4 3 4 5 8 11 15 17 17 17 17 17 14 11 9 7 7 8 9 10 10 11 10 9 9 9 10 11 12 13 14 13 13 12 9 8 7 6 6 5 5 5 5 4 2 1 2 3 5 7 7 6 7 7 6 7 7 7 8 8 9 10 10 11 11 11 11 12 13 15 nan
nan 10 9 9 8 7 7 7 8 7 6 6 6 9 11 12 12 12 12 12 13 14 13 11 9 8 8 9 10 10 10 11 11 11 11 11 12 13 13 13 13 11 10 9 7 6 6 5 3 2 3 6 6 5 2 1 2 4 6 9 10 9 9 8 7 6 6 7 8 9 11 12 12 11 11 11 11 11 12 13 nan
nan 11 10 9 8 8 8 9 9 10 9 8 8 11 12 11 10 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 12 10 8 8 7 6 7 7 6 2 -0 2 6 8 6 3 2 5 7 10 14 15 12 9 7 7 6 7 8 9 11 12 13 13 11 10 10 9 9 11 13 nan
nan 11 10 10 9 8 9 10 10 11 11 11 11 11 10 10 9 7 6 6 7 8 9 9 10 10 9 9 10 9 9 9 9 10 11 12 12 12 10 8 7 6 6 6 7 8 9 8 4 2 4 6 7 6 5 6 11 17 21 23 21 15 9 6 6 7 9 10 11 12 13 13 13 12 11 11 10 11 12 13 nan
nan 10 10 10 9 9 10 11 11 11 11 11 11 10 10 9 7 7 6 6 8 8 8 10 10 9 8 8 9 9 8 8 8 9 10 11 11 10 8 6 4 4 5 7 8 8 8 8 7 6 7 7 6 4 6 12 20 26 28 26 21 15 11 9 9 10 11 11 12 13 13 13 13 13 13 13 13 13 14 14 nan
nan 10 10 10 10 11 11 12 11 11 11 10 10 10 9 8 7 6 6 7 9 7 7 8 9 8 7 7 8 9 8 8 8 9 9 9 9 8 5 5 4 5 6 8 8 8 8 8 9 9 9 8 7 5 10 19 26 27 23 15 10 9 10 11 12 12 11 12 12 13 13 12 13 14 14 14 15 15 14 13 nan
nan 10 10 10 11 12 12 12 12 12 11 9 10 9 9 8 7 6 7 8 8 5 4 7 8 9 8 8 9 9 9 10 10 10 10 9 8 6 5 5 6 7 8 9 9 8 7 8 12 12 10 8 8 11 18 25 25 20 13 6 2 4 8 11 11 11 11 11 12 11 10 10 11 13 14 14 14 13 12 11 nan
nan 10 10 10 11 12 13 13 13 12 10 9 9 9 8 7 8 8 9 8 7 4 4 6 8 9 8 8 10 11 11 11 12 12 11 9 8 7 6 6 8 8 9 9 9 8 7 9 11 11 9 9 11 18 23 22 17 11 7 4 2 4 8 11 11 10 10 10 9 7 6 7 8 10 12 12 12 12 11 9 nan
nan 10 10 10 11 12 13 13 12 11 10 9 9 8 8 8 8 9 9 9 8 5 5 7 9 9 8 9 11 11 11 10 9 9 9 7 6 6 6 7 8 8 8 8 8 8 7 9 9 8 9 12 17 20 18 14 9 6 5 3 3 7 12 12 11 9 8 7 5 4 4 5 6 8 10 10 10 10 10 8 nan
nan 11 10 10 11 13 13 12 11 11 10 9 9 9 9 8 8 9 9 9 8 7 8 9 9 8 8 9 10 10 10 8 6 6 5 5 6 6 7 7 7 7 7 8 7 7 8 8 8 9 12 18 20 18 14 10 7 6 4 2 4 9 12 11 7 5 3 3 4 4 5 6 7 9 11 11 11 10 9 7 nan
nan 11 11 11 11 11 11 11 11 10 10 9 8 8 9 10 9 9 9 9 8 8 10 11 10 8 8 9 9 9 8 6 3 4 6 6 7 8 8 8 8 7 6 7 7 7 7 6 6 10 16 21 19 15 12 10 9 10 7 4 4 6 6 3 0 -1 -1 0 3 5 6 7 8 11 13 14 13 11 8 8 nan
nan 12 11 11 10 10 10 10 10 10 9 8 7 8 9 11 11 9 9 10 9 8 11 11 10 8 7 8 8 7 5 4 4 5 7 8 7 7 9 9 8 7 6 6 6 6 6 5 6 10 17 19 15 12 10 10 12 11 7 4 3 2 1 -2 -2 -1 1 3 5 6 7 8 9 11 12 13 13 11 10 11 nan
nan 12 11 10 10 9 9 9 8 9 9 7 7 7 9 11 11 11 10 10 9 9 11 13 12 10 8 8 8 6 5 4 4 5 7 6 6 8 10 10 8 6 5 5 5 5 4 3 7 12 17 14 12 10 10 10 12 9 5 1 2 4 4 4 5 7 8 8 7 7 7 8 10 11 11 11 11 11 11 13 nan
nan 11 11 10 10 9 9 10 9 7 6 6 8 9 10 11 11 11 10 10 9 10 11 12 12 11 9 9 8 7 6 5 5 5 5 5 8 10 11 9 8 7 7 7 5 4 3 4 9 15 17 14 10 9 10 11 11 8 5 -0 3 9 10 11 13 14 13 10 8 8 8 9 10 11 11 11 11 11 13 15 nan
nan 10 10 10 10 9 9 10 10 7 6 7 9 11 12 12 11 10 9 10 11 11 11 11 11 10 9 10 10 9 8 7 4 3 4 6 9 11 11 9 8 8 9 10 9 6 5 9 12 17 19 15 11 10 9 11 10 9 6 -0 2 10 11 11 13 14 12 9 8 7 8 9 10 11 12 11 10 11 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
19 24 31 38 44 47 48 48 45 40 35 32 31 31 27 22 20 21 21 21 23 23 20 15 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 8 11 14 17 22 29 38 47 53 59 64 72 79 82 84 89 90 86 90 100 111 117 120 123 124 126 127 128
14 16 20 26 32 37 40 41 40 36 32 28 26 26 23 19 16 18 18 20 23 23 21 17 12 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 1 2 4 6 8 12 18 29 40 47 47 45 57 67 70 69 74 76 75 82 94 105 112 116 118 120 120 120 123
12 13 16 19 23 28 32 34 34 30 26 22 20 19 17 14 12 13 14 15 18 18 15 12 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 1 2 3 10 18 24 25 28 26 36 50 57 56 56 58 65 77 89 96 101 106 112 114 115 118 122
9 11 14 15 18 20 23 25 25 23 20 18 16 14 11 8 7 8 9 10 10 9 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 1 5 10 10 12 16 17 24 37 46 45 40 39 51 65 76 84 91 97 104 107 110 115 121
7 9 10 12 14 15 17 18 19 19 18 16 13 11 8 6 4 5 5 5 5 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 1 2 4 4 6 8 10 15 26 36 37 31 28 33 39 45 68 77 86 95 102 106 110 116
6 6 7 8 10 11 13 14 15 16 16 15 13 10 8 5 3 2 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 1 0 1 3 5 10 19 25 28 29 29 27 24 27 47 60 72 84 95 101 106 110
4 4 5 6 6 8 10 11 12 13 14 14 13 11 8 5 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 2 6 12 18 19 21 26 29 30 30 35 45 52 62 77 90 98 101 104
2 3 3 4 4 5 7 8 9 11 13 14 13 11 8 6 4 3 2 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 3 9 15 18 19 21 25 30 33 37 44 48 53 61 71 81 88 91 95
1 1 2 2 3 3 4 6 7 9 12 13 13 11 9 8 6 5 4 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 1 4 10 19 23 22 24 29 34 36 39 50 56 62 67 72 74 76 81 85
0 0 0 1 1 2 3 5 7 10 12 13 13 12 11 10 8 6 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 2 5 7 11 25 32 31 31 33 36 36 34 46 55 63 70 72 71 72 78 83
0 0 0 0 0 1 2 5 8 11 14 15 15 14 14 12 10 8 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 9 14 20 36 41 39 36 34 34 33 33 41 50 59 66 68 68 71 77 82
0 0 0 0 0 1 2 6 9 12 14 15 17 18 18 16 12 9 6 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 7 14 22 31 41 43 40 36 32 29 31 35 41 47 54 60 62 65 68 72 77
0 0 0 0 0 0 2 4 8 10 12 13 16 19 19 17 13 10 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 2 6 11 18 26 33 40 40 37 32 27 23 27 34 40 42 43 44 51 56 59 64 70
0 0 0 0 0 0 0 2 5 7 8 9 10 13 14 12 11 10 9 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 4 8 14 21 27 30 35 34 31 27 24 20 23 28 32 32 32 33 38 43 49 58 67
0 0 0 0 0 0 0 0 1 3 4 5 5 5 4 6 7 8 7 7 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 2 6 12 17 23 25 28 27 24 21 21 21 22 21 21 20 20 20 23 30 40 52 64
0 0 0 0 0 0 0 0 0 1 3 4 6 7 5 5 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 2 5 9 15 18 20 20 18 16 17 17 17 15 12 8 7 8 9 17 31 46 58
0 0 0 0 0 0 0 0 0 2 3 5 5 6 6 7 8 8 6 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 1 2 6 10 12 12 11 12 12 12 11 8 4 0 0 1 1 10 25 38 48
0 0 0 0 0 0 0 0 1 3 4 4 2 2 4 8 9 8 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 2 4 5 6 7 8 9 9 8 4 0 0 0 0 0 6 19 30 38
0 0 0 0 0 0 0 0 0 2 1 0 0 0 4 8 10 9 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 0 0 1 2 4 6 6 6 4 3 1 0 0 0 0 1 5 14 24 32
0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 13 11 8 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 1 3 5 4 4 2 0 0 0 0 0 0 2 7 14 23 28
0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 16 18 20 19 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 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 3 9 13 20 25
0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 16 18 21 22 15 6 1 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 3 4 4 3 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 11 16 20
0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 14 17 20 21 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 9 9 9 8 6 4 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 16
0 0 0 0 0 0 0 0 0 1 3 6 4 4 5 10 15 19 18 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 14 15 14 10 6 4 2 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 15 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 15 18 18 15 10 6 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 4 10 18 25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 14 17 18 15 11 7 3 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 10 16 25 36
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 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 10 14 15 15 13 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 7 9 13 17 22 28 37 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 12 14 14 12 11 9 6 4 4 3 2 0 0 0 0 0 1 1 2 2 3 4 6 7 7 8 10 12 17 23 29 34 40 48 58
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 12 13 13 15 17 19 16 12 8 5 2 0 0 1 3 5 7 8 8 9 10 11 12 12 12 13 16 21 29 36 42 48 54 62
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 10 11 12 14 15 15 14 12 10 7 3 1 1 3 7 12 14 14 14 14 14 14 15 14 14 14 16 20 28 37 46 54 58 63
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 14 12 6 1 0 0 0 0 0 0 0 0 2 5 13 21 24 21 16 14 13 13 13 13 14 14 14 15 19 25 35 48 58
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0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 6 3 1 0 2 3 2 1 1 1 3 5 4 0 0 0 0 0 0 1 8 15 21 26 30 30 27 23 18 12 7 4 4 4 5 7 8 9 14 23
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 2 6 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 17 21 25 32 35 35 31 24 17 10 6 4 4 5 6 6 6 10 18
0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 17 21 23 27 33 37 37 34 28 20 12 8 6 6 7 6 5 5 7 13
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0 0 0 0 1 1 1 2 3 3 3 3 3 2 2 1 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 1 3 8 13 15 17 22 29 36 35 30 28 29 33 36 32 26 21 20 21 23 22 19 14 10 7
0 0 0 1 1 2 2 2 3 3 4 4 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 3 8 14 17 17 19 23 30 31 27 24 25 27 29 27 21 15 11 10 16 23 25 22 16 12 8
0 0 1 1 2 2 2 3 3 4 4 4 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 0 0 0 0 0 0 0 0 2 8 15 20 20 16 16 21 27 21 18 17 18 19 17 12 7 3 2 3 13 23 27 25 19 15 12
0 0 0 1 2 3 3 3 3 3 3 4 4 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 1 4 11 19 24 25 26 24 24 26 24 18 12 9 7 6 4 2 1 0 1 5 16 23 23 20 16 15 14
0 0 0 1 2 2 2 2 3 2 2 2 3 3 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 2 7 16 25 31 31 27 27 31 35 35 29 16 8 3 1 1 0 0 0 1 3 8 12 13 12 11 12 14 15
0 0 0 0 1 1 2 2 2 2 1 1 1 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 2 8 19 27 32 32 28 22 22 26 30 28 18 8 2 0 0 0 0 0 0 2 6 9 9 8 7 8 11 13 13
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