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 23 10 2 4 8 11 11 10 10 8 6 4 2 5 9 13 12 10 9 10 13 12 10 11 12 12 12 13 12 11 11 11 11 11 12 12 10 9 10 10 10 12 11 10 10 11 10 8 7 8 9 8 7 9 9 6 6 7 7 9 10 9 8 8 9 10 8 7 9 10 8 6 5 5 5 6 8 8 8 nan
nan 34 25 10 6 8 9 9 10 11 10 8 4 0 0 5 9 12 12 11 11 12 12 12 13 13 12 13 15 16 14 12 11 12 11 11 11 11 10 10 10 9 11 13 12 10 11 13 12 8 7 8 8 6 9 10 5 5 6 7 8 10 9 8 8 9 10 9 8 8 9 9 9 8 6 4 5 7 7 6 nan
nan 28 32 24 15 10 9 8 9 11 12 11 7 2 -0 1 4 9 13 13 12 12 12 13 14 14 13 12 15 18 17 13 13 13 12 12 11 11 11 10 10 9 10 12 12 11 10 12 13 12 9 8 8 7 8 8 6 6 6 7 8 8 9 9 9 10 9 9 9 8 9 9 9 9 7 6 6 7 6 4 nan
nan 14 22 27 25 18 13 9 9 11 13 13 12 8 4 1 1 5 10 13 13 11 11 11 12 12 12 11 12 16 16 14 14 14 13 12 12 11 11 10 10 9 10 10 11 11 9 10 12 11 11 9 10 10 8 7 5 6 8 8 8 7 7 8 8 8 8 8 8 9 10 9 10 10 9 8 8 8 6 5 nan
nan 8 11 16 21 22 19 14 11 10 10 11 12 12 9 3 -0 0 5 10 13 11 8 8 10 10 10 10 10 12 13 13 13 14 13 11 12 12 11 10 10 9 9 10 10 10 10 9 10 10 10 9 11 13 9 5 5 7 9 10 8 6 7 8 7 7 6 5 7 9 10 10 10 11 11 9 8 8 7 5 nan
nan 6 6 7 11 16 19 19 17 13 10 9 10 11 12 7 1 -1 1 6 10 10 8 8 8 9 8 10 11 10 11 12 13 13 13 12 12 12 11 10 10 10 9 10 10 10 10 9 9 8 9 8 11 14 10 4 4 8 11 11 9 8 9 10 9 7 7 5 6 7 9 10 10 10 11 10 9 8 9 7 nan
nan 6 7 7 8 10 13 17 20 19 15 11 9 9 12 10 5 1 1 3 7 9 10 10 10 9 8 10 12 11 10 10 11 12 12 11 11 12 11 10 11 10 10 10 10 10 11 10 9 8 8 7 8 14 12 5 4 7 11 10 10 12 13 12 9 7 7 7 6 6 8 9 10 9 9 9 9 11 11 7 nan
nan 8 8 9 10 9 9 12 16 21 20 15 12 11 11 11 8 4 2 2 5 8 10 11 11 11 9 9 11 11 10 9 9 10 10 10 11 10 10 10 11 10 10 10 11 11 11 11 10 8 8 6 6 9 12 8 6 7 8 8 9 12 14 14 11 7 7 7 6 5 6 8 9 9 9 9 9 11 11 8 nan
nan 10 10 10 10 10 10 10 11 16 19 19 17 14 12 11 8 6 3 2 4 7 9 10 11 11 10 10 11 10 9 9 8 8 8 9 10 10 10 10 10 11 10 10 10 11 11 11 10 10 9 7 6 7 7 7 7 8 8 6 7 10 12 14 13 9 7 7 6 6 7 7 8 9 9 9 10 11 11 10 nan
nan 10 10 10 10 11 11 11 11 12 15 19 20 19 15 12 10 8 6 4 4 7 9 10 11 10 9 11 12 10 9 8 8 8 9 8 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 9 9 9 6 5 6 7 7 6 7 9 10 12 12 10 9 7 6 8 9 9 8 7 8 9 10 11 12 11 nan
nan 9 9 10 10 11 10 11 12 12 13 16 19 21 19 14 12 10 8 6 6 7 9 11 12 11 9 9 11 11 11 9 8 8 8 9 9 10 9 9 8 9 9 11 10 8 9 10 9 9 8 9 11 12 9 5 6 8 6 4 7 9 10 10 11 10 9 6 4 5 10 11 9 7 7 8 10 11 12 13 nan
nan 9 9 10 11 11 10 11 12 12 12 13 15 19 21 18 14 13 10 7 5 6 9 11 12 12 11 10 10 10 10 9 8 8 9 9 10 10 10 10 9 8 8 11 12 9 8 9 9 8 7 7 9 11 10 8 8 8 6 5 7 9 11 11 10 10 10 7 4 4 7 10 10 7 6 6 8 10 12 14 nan
nan 9 10 11 12 12 11 11 11 12 11 11 12 14 17 19 18 17 16 11 6 5 6 9 11 13 13 12 11 10 10 10 8 7 8 10 11 11 10 10 11 10 9 9 10 11 10 9 9 8 7 6 7 8 9 9 9 9 7 5 6 8 11 12 12 11 10 9 6 4 7 9 9 8 7 5 5 8 11 14 nan
nan 10 11 12 13 13 13 12 13 12 12 12 11 11 13 16 18 21 21 17 10 7 7 7 9 12 14 13 12 11 12 12 10 7 7 10 11 10 9 8 10 12 11 9 9 10 10 10 10 9 8 7 7 8 9 10 10 8 7 4 4 5 9 12 12 11 10 11 9 6 6 8 10 10 7 4 4 6 9 12 nan
nan 11 12 13 14 14 14 14 14 14 14 14 13 12 11 12 15 18 21 20 12 7 7 7 8 10 12 12 13 12 12 12 12 9 8 9 10 10 8 7 8 10 12 11 10 10 10 10 9 10 9 9 8 7 8 10 11 9 7 5 2 2 6 10 11 11 10 10 10 8 6 6 8 10 9 6 5 6 7 7 nan
nan 11 12 13 13 14 15 15 15 14 15 14 14 14 14 13 12 14 17 19 16 10 5 4 6 9 10 11 12 12 12 12 12 11 11 11 10 9 8 7 8 8 9 10 9 10 10 10 8 9 10 10 9 9 8 7 10 10 9 7 5 2 4 7 8 8 10 10 11 10 8 7 7 7 9 8 6 7 7 6 nan
nan 11 12 12 13 13 14 15 15 15 14 13 12 12 14 15 14 14 15 18 22 20 13 5 3 6 9 11 10 10 10 11 12 12 12 12 11 10 9 8 8 8 8 8 7 8 10 9 7 6 9 10 10 11 11 8 9 10 10 9 8 6 5 5 5 5 6 9 10 10 10 9 8 7 7 8 8 9 7 6 nan
nan 11 12 12 12 12 13 13 14 14 11 10 10 10 10 11 13 14 14 18 24 26 22 16 9 7 9 10 10 9 9 10 11 12 12 12 11 10 9 9 10 9 8 8 8 8 8 9 8 6 7 8 8 9 10 10 11 11 10 9 9 9 8 7 6 6 6 7 8 9 9 9 10 8 7 8 9 10 9 7 nan
nan 11 11 11 10 10 10 11 11 11 10 10 10 9 8 8 9 10 12 14 18 22 25 25 19 13 11 10 10 10 10 10 10 11 12 12 12 10 9 8 10 10 9 9 8 8 8 9 9 9 8 8 7 7 7 7 10 12 12 10 9 9 10 9 7 7 8 8 9 8 9 10 10 9 8 8 9 11 10 8 nan
nan 11 10 10 9 8 9 9 10 10 10 10 10 8 8 9 9 8 8 8 10 14 19 25 26 21 15 12 11 10 10 10 10 10 11 13 13 10 9 8 9 10 10 9 9 9 9 9 9 10 10 9 8 8 8 6 6 9 11 12 10 9 10 10 8 8 8 9 9 8 9 10 11 9 7 7 8 11 12 11 nan
nan 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 9 9 7 6 7 9 12 15 22 26 23 17 13 11 11 11 10 9 9 12 13 11 10 8 8 9 9 9 9 9 9 9 9 10 11 11 9 9 9 8 6 8 9 10 11 11 11 11 10 8 9 10 9 8 9 11 12 11 9 7 6 8 12 12 nan
nan 10 10 9 8 9 11 12 11 11 12 11 11 11 10 10 9 9 9 8 9 9 9 7 12 22 25 22 17 13 11 11 11 9 7 10 14 14 11 9 9 9 8 9 9 8 9 10 10 10 12 12 10 10 10 10 8 8 8 8 8 9 10 11 11 9 9 10 9 9 8 10 11 11 10 8 6 6 8 11 nan
nan 10 10 10 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 13 19 22 21 17 13 11 10 9 7 7 12 16 14 12 11 11 9 9 9 9 8 9 10 10 12 13 14 13 12 11 11 10 9 8 7 7 9 11 11 9 9 9 9 11 11 11 11 10 10 9 8 6 7 9 nan
nan 10 11 11 12 12 12 11 11 11 10 10 10 10 10 11 12 12 10 10 10 11 11 10 8 9 12 16 21 21 16 11 11 10 8 6 9 15 16 14 13 13 12 10 10 10 9 9 9 9 9 11 13 14 13 12 12 11 12 12 10 9 9 11 12 11 10 8 7 9 12 14 12 10 9 10 10 9 8 8 nan
nan 12 12 12 11 10 10 11 11 10 11 11 11 11 12 13 13 12 11 11 12 12 13 12 10 10 11 13 17 21 20 15 13 10 8 7 8 12 13 14 14 14 14 12 11 11 12 11 10 8 7 8 10 11 12 11 11 10 11 13 13 11 9 9 11 12 11 9 8 6 9 13 13 11 8 8 9 10 9 9 nan
nan 13 13 12 11 10 10 11 11 11 12 13 13 13 13 14 13 12 12 13 13 13 12 12 12 13 13 14 14 17 20 19 16 12 9 7 7 10 10 9 10 12 13 13 11 11 15 14 12 10 10 11 12 11 11 11 10 8 7 10 12 12 10 9 9 11 11 11 10 8 7 10 13 12 9 7 8 10 10 10 nan
nan 13 13 12 12 11 11 10 10 11 13 13 13 14 13 13 13 13 14 14 13 13 13 12 12 12 13 13 13 14 16 17 18 17 13 9 9 9 9 7 6 7 10 12 10 9 14 16 14 12 12 12 13 13 13 13 12 10 7 7 10 13 12 11 11 11 10 10 11 11 9 9 11 13 13 10 8 9 10 10 nan
nan 13 13 12 11 10 10 11 11 12 12 13 13 13 13 13 13 14 14 14 14 14 13 13 12 12 11 10 10 10 12 14 16 18 18 15 12 11 12 11 8 5 6 9 10 9 10 14 13 13 12 12 12 13 14 14 15 15 12 9 9 12 13 12 14 14 12 11 11 11 11 11 11 12 12 11 9 7 7 6 nan
nan 12 12 11 10 9 11 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 13 13 13 12 11 10 10 12 13 14 16 19 19 17 15 14 13 11 7 5 6 8 8 9 11 12 12 12 11 11 14 16 16 14 14 14 11 9 11 13 12 14 14 13 12 11 10 9 9 9 10 11 10 9 8 7 4 nan
nan 12 11 10 10 11 12 12 12 12 12 12 12 13 13 13 12 13 14 14 14 13 14 15 15 15 14 13 13 12 12 13 14 13 16 19 19 19 18 16 15 12 9 7 6 7 8 10 11 12 14 13 12 13 17 17 14 13 14 12 9 9 10 10 12 13 13 12 11 9 8 8 8 9 11 12 11 10 9 8 nan
nan 12 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 14 15 14 13 14 15 15 16 17 17 16 15 14 14 14 14 13 13 15 17 19 20 20 20 19 17 14 8 7 8 9 10 12 15 16 14 13 14 16 14 13 13 12 10 9 9 9 10 11 12 11 11 9 8 9 10 10 11 11 11 12 13 12 nan
nan 11 11 11 11 11 12 12 12 11 11 10 11 11 11 12 13 14 13 13 12 14 15 15 17 17 17 18 18 19 17 16 15 14 13 13 12 14 16 19 20 20 20 20 14 9 9 8 10 13 16 16 13 12 12 13 13 12 12 10 9 10 11 10 11 11 12 12 11 11 10 9 9 10 10 10 11 12 13 14 nan
nan 10 10 11 11 11 12 12 12 11 10 11 11 11 12 13 13 12 12 12 13 14 15 16 16 16 16 17 18 19 18 16 16 15 14 13 11 9 9 12 14 16 18 20 17 12 10 8 9 13 15 14 13 11 11 11 11 12 12 10 7 8 9 11 12 13 14 15 14 13 12 10 9 9 9 9 10 12 13 14 nan
nan 10 10 10 11 12 12 12 12 11 11 12 12 13 13 13 12 12 12 13 14 15 15 15 15 15 16 16 16 16 15 15 16 16 15 13 11 8 6 6 8 10 12 15 16 14 12 9 8 11 13 13 12 12 12 11 12 12 12 12 9 7 8 10 12 12 12 14 16 16 14 11 9 8 7 8 8 10 12 13 nan
nan 10 10 11 11 11 12 12 11 11 12 12 13 13 12 12 12 13 13 14 14 14 14 14 15 16 16 15 13 12 13 16 18 19 18 16 13 10 8 6 6 6 8 11 14 14 13 11 9 10 12 11 12 13 13 13 13 13 13 13 11 8 8 10 12 11 11 12 13 14 13 12 11 9 7 8 7 7 9 11 nan
nan 11 11 10 10 11 11 11 12 12 12 13 13 11 11 11 12 13 14 14 14 14 15 15 16 16 15 14 12 12 13 16 19 22 21 19 17 14 11 9 8 7 7 9 10 11 12 13 12 11 10 9 12 13 14 14 14 14 14 13 10 6 6 8 12 13 12 12 14 15 14 13 12 11 10 10 9 8 7 9 nan
nan 11 11 11 10 10 11 12 12 12 12 12 12 11 11 12 12 13 13 14 14 14 15 16 15 14 14 13 13 14 15 16 18 21 22 22 20 18 14 13 13 11 10 11 11 12 13 13 15 13 10 9 12 14 15 15 14 15 15 14 11 7 6 7 8 10 12 13 14 17 17 15 13 10 11 12 14 12 10 10 nan
nan 12 11 10 10 11 12 12 12 12 13 13 12 11 11 11 12 13 14 14 13 13 14 14 13 12 13 13 14 15 15 16 16 18 20 22 23 21 18 16 15 14 12 13 15 16 17 17 17 17 14 12 12 13 14 14 15 15 15 16 13 9 8 8 7 7 9 10 12 14 16 16 14 12 10 13 16 17 14 12 nan
nan 12 11 11 10 11 12 11 11 12 12 13 12 11 11 11 12 13 14 12 11 13 15 14 13 13 13 14 15 15 16 16 15 16 17 20 23 24 21 17 15 14 12 12 13 14 17 20 23 22 19 17 14 12 12 13 14 15 15 14 11 8 9 10 9 8 9 10 10 13 15 16 16 14 11 11 14 16 17 16 nan
nan 12 12 11 10 11 11 11 12 12 12 13 12 11 11 11 12 12 12 11 11 14 16 14 13 13 14 15 15 16 16 16 16 15 15 16 19 23 22 19 17 15 12 10 9 9 10 14 22 25 25 22 19 13 11 12 13 14 14 13 10 9 10 12 11 9 8 8 9 12 13 14 14 12 11 10 11 13 17 19 nan
nan 11 12 11 11 11 11 11 11 11 12 12 11 11 11 12 12 12 11 11 12 15 15 14 12 12 15 16 15 15 16 16 16 15 15 15 16 20 21 19 17 16 14 11 10 8 5 6 13 23 25 25 21 17 15 13 13 13 14 13 9 6 10 15 13 10 7 6 6 8 10 11 11 11 9 8 8 10 12 16 nan
nan 11 12 11 11 10 10 10 10 11 12 12 11 11 11 12 12 12 12 12 13 14 15 13 12 12 14 14 14 15 15 15 16 16 17 18 18 20 22 21 19 17 16 14 12 10 8 6 10 18 22 23 21 20 18 16 14 13 12 7 4 4 11 15 15 13 11 8 5 6 7 10 13 13 11 8 7 8 9 11 nan
nan 11 11 11 11 10 10 10 10 11 12 11 11 11 12 12 12 12 12 13 13 14 13 11 11 13 14 13 14 14 14 16 17 17 17 17 18 21 23 23 20 17 15 14 14 12 11 9 11 15 18 19 18 18 18 17 15 14 10 3 1 6 13 14 14 14 14 12 9 6 6 8 12 15 15 13 10 7 6 7 nan
nan 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 13 13 14 14 12 10 11 13 14 13 13 13 14 16 17 17 15 14 15 19 22 24 24 19 14 14 14 13 11 11 12 14 17 17 16 16 16 14 14 14 9 4 2 6 11 13 12 14 15 14 13 10 7 7 7 9 11 14 13 8 5 3 nan
nan 9 10 11 11 11 11 10 10 10 9 10 11 11 12 13 13 13 13 12 13 13 11 11 12 14 14 13 12 12 14 16 19 18 17 16 14 16 20 24 27 24 18 14 13 13 12 11 11 13 14 13 14 15 15 14 13 10 5 2 2 6 9 11 12 13 14 14 13 12 10 7 4 2 4 8 12 11 7 5 nan
nan 10 10 11 11 11 11 11 10 9 10 11 11 12 12 12 12 13 12 12 13 13 11 11 12 14 14 13 11 12 14 18 19 19 18 18 17 17 18 22 26 28 25 20 15 12 12 10 9 12 14 11 12 13 14 13 12 9 4 2 4 7 8 9 11 13 14 13 13 12 11 10 8 6 5 7 11 13 12 11 nan
nan 10 10 11 11 12 13 11 9 9 10 12 12 11 10 10 12 13 14 14 13 12 12 12 13 14 14 13 13 13 16 19 19 19 18 19 19 18 18 18 22 27 29 27 21 16 14 10 8 11 14 14 13 13 13 13 12 10 6 2 4 8 8 9 12 14 14 13 12 13 14 14 12 12 11 11 10 12 14 15 nan
nan 10 10 10 11 12 13 12 9 8 10 12 13 12 11 12 14 15 15 13 11 11 12 13 13 15 15 14 14 14 15 16 17 18 17 18 20 19 18 17 17 22 28 31 28 23 18 16 12 11 14 17 17 15 14 13 12 11 7 -1 -0 5 8 10 12 14 15 13 11 12 19 20 16 15 14 13 10 10 12 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
7 2 0 0 1 2 2 1 4 16 31 35 31 30 42 70 93 97 96 89 78 68 63 51 32 12 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
6 6 1 1 4 10 11 5 3 12 28 32 22 10 14 38 78 95 98 90 79 68 64 55 37 16 3 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 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
1 3 6 4 9 22 28 20 10 13 25 28 19 5 2 16 55 84 95 89 79 70 63 56 42 23 7 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 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 4 12 19 31 40 35 20 15 17 18 14 7 3 8 34 66 84 84 76 68 62 56 46 31 14 2 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 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 1 10 25 42 54 54 40 25 17 14 12 10 8 10 23 49 70 78 71 63 58 55 49 37 20 4 0 0 0 0 1 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 10 29 51 66 67 50 31 19 16 17 17 16 21 38 60 73 69 61 55 51 46 38 24 5 0 0 0 0 1 3 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 5 19 41 65 74 59 39 29 29 30 26 26 38 58 74 72 63 54 45 39 34 25 8 2 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 0 0 0 0 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 8 26 64 77 66 51 47 46 40 39 49 65 77 76 67 54 42 35 32 27 13 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 26 61 76 73 65 58 53 55 66 77 83 79 68 54 43 38 36 32 20 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 0 0 0 0 0 0 0 4 25 52 72 75 65 60 66 77 87 89 82 69 55 45 40 39 36 25 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 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 4 20 43 62 65 63 67 78 89 93 87 72 57 44 39 40 40 30 16 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 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 4 13 27 46 54 61 71 84 94 92 76 59 44 36 39 40 33 20 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 1 4 11 29 44 60 77 92 94 81 64 50 41 38 36 32 23 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 0 0 0 0 0 0 0 0 0 0 0 0 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 19 40 63 81 87 80 69 58 48 39 32 29 24 17 9 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 5 20 45 68 74 71 67 60 51 41 33 29 26 21 14 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 1 8 28 56 68 66 60 55 50 43 35 30 26 22 16 10 7 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 3 12 35 57 59 53 48 46 43 35 30 25 20 15 11 9 7 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 2 10 35 44 42 38 39 39 37 32 27 21 15 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 8 16 20 22 24 30 35 35 32 25 18 13 10 8 7 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 0 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 8 15 25 32 35 32 24 17 12 9 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 19 28 33 32 24 17 12 9 8 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
1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 23 30 28 23 18 14 11 9 6 3 1 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
3 2 2 2 2 2 3 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 3 9 18 23 23 22 19 15 12 10 6 4 1 0 0 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 0
5 4 3 3 3 4 4 4 5 5 5 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 8 14 18 19 20 19 16 13 10 6 3 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 0 0 0 0 0 0 0 0 0 0
6 5 5 5 5 5 5 6 6 5 5 5 5 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 2 5 8 11 14 17 16 14 10 6 3 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
7 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 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
8 8 8 8 8 9 9 8 7 6 5 5 5 5 5 5 5 5 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 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
8 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 4 3 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
8 8 8 8 8 8 8 8 8 6 5 5 5 5 5 5 5 5 5 5 4 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 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
8 8 8 8 8 8 8 8 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 8 8 8 8 8 8 9 8 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 3 3 2 1 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
7 8 8 8 8 8 8 8 8 6 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 5 5 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 1 1 0 0 0 0 0 0 0 0 0 0
7 7 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 1 2 3 3 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0
7 7 7 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 1 0 0 0 0 0 0 0 0 0 2 5 8 9 8 7 6 5 3 1 0 0 0 0 0 0 0 0 0
8 8 7 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 7 5 3 1 0 0 0 0 0 1 1 0 0 0 0 2 5 5 2 0 0 0 0 0 0 0 0 0 3 7 12 15 13 11 8 5 2 0 0 0 0 0 0 0 0 0 0
8 8 8 8 8 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 7 9 10 8 6 3 2 1 1 0 1 2 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 2 6 12 19 19 15 9 3 0 0 0 0 0 0 0 0 0 0 0
7 8 8 8 8 8 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 9 11 12 12 10 8 6 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 17 24 27 22 14 5 1 0 0 0 0 0 0 0 0 0 0
5 7 7 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 7 8 9 8 8 8 8 10 13 14 13 12 11 9 6 4 2 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 9 17 23 28 32 29 21 10 4 1 1 0 0 0 0 0 0 0 0
5 6 7 8 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 9 9 10 10 9 8 8 9 10 13 12 13 14 13 11 8 6 7 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 5 14 23 27 30 32 32 27 19 13 8 6 4 3 2 1 0 1 2 2
6 6 7 8 8 8 8 8 7 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 8 8 8 8 9 9 9 8 8 8 10 11 13 15 16 16 12 9 8 8 10 7 3 0 0 0 0 0 0 1 0 0 0 1 4 12 23 30 33 34 34 32 29 26 22 19 15 12 10 9 8 9 12 15
7 7 7 8 8 8 8 8 8 6 5 5 5 5 4 4 4 5 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 7 8 7 7 9 10 12 15 18 19 17 12 8 6 7 10 5 2 0 0 0 0 1 2 2 0 0 1 3 9 23 31 34 34 34 34 37 38 36 33 29 25 24 25 29 34 40 42
9 9 8 8 8 8 8 7 7 7 5 5 5 5 4 4 4 5 5 6 6 5 5 5 6 7 9 6 6 6 6 6 7 7 8 7 7 8 9 12 15 20 24 23 18 12 6 4 7 6 3 1 0 0 0 1 2 2 0 0 3 6 12 26 32 34 34 33 35 40 44 46 45 42 41 43 47 51 56 61 61
12 12 10 9 9 8 7 7 7 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 7 9 10 10 8 8 8 8 8 8 8 8 7 7 8 10 14 20 27 28 24 17 10 8 7 6 4 2 2 2 1 0 0 0 0 2 5 10 20 29 33 35 35 35 36 41 46 51 55 60 64 68 71 73 74 73 69
13 14 12 10 9 9 8 7 7 7 6 5 5 5 4 4 5 6 6 5 5 5 4 6 8 10 11 12 12 11 10 8 7 6 7 8 8 7 7 8 11 16 23 27 26 22 17 15 12 8 5 4 6 4 3 1 0 0 3 7 10 12 20 26 31 34 36 37 39 43 48 54 64 75 84 90 91 91 87 82 73
14 15 14 12 10 9 8 8 7 7 6 6 5 5 4 4 5 5 5 5 4 4 5 6 8 10 11 12 12 12 10 8 6 6 6 7 8 8 7 6 8 11 16 21 24 25 24 23 22 16 10 8 9 7 6 6 6 5 8 11 14 17 21 23 28 34 38 40 44 48 52 57 68 78 85 92 96 97 91 84 73
14 14 14 12 11 9 9 8 7 7 7 7 6 5 4 4 4 4 5 4 4 4 5 6 8 9 10 11 11 10 6 7 6 6 6 7 8 8 7 6 6 8 12 17 22 25 27 28 32 29 19 16 14 11 10 9 8 10 12 14 17 22 24 26 31 37 42 45 50 53 55 59 65 72 78 85 90 91 86 77 63
14 14 12 11 11 10 9 8 7 7 7 8 7 6 6 5 6 5 5 4 4 4 4 4 4 5 8 10 9 7 5 6 6 6 6 6 7 7 7 6 6 6 8 13 20 26 28 29 35 36 24 18 14 12 10 9 9 9 12 16 21 25 29 33 37 42 45 48 51 52 54 58 61 64 68 72 71 76 74 66 52
15 14 11 10 10 10 9 9 8 7 7 8 8 7 6 5 6 6 6 5 5 4 4 4 4 5 5 7 7 6 5 5 5 6 6 6 6 6 6 5 4 4 4 7 12 21 25 29 34 33 22 11 8 7 7 8 8 8 12 18 26 31 35 39 42 45 47 48 47 47 49 54 53 53 57 62 62 64 62 56 45
17 15 12 9 10 10 10 9 8 7 7 8 8 8 6 5 6 7 6 5 5 4 4 4 5 5 6 6 6 6 5 4 5 7 8 7 6 5 4 4 4 3 3 3 4 10 18 24 27 23 11 3 2 2 4 6 9 9 12 18 30 37 41 43 44 45 45 42 39 37 38 39 40 41 44 50 53 54 51 47 39