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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 7 7 8 9 11 12 14 16 18 19 20 20 20 18 16 14 12 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 nan
nan 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 10 12 14 16 17 18 19 20 20 19 17 15 12 10 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 7 7 8 9 9 8 7 7 7 7 8 8 8 8 8 9 10 11 13 15 17 18 19 19 18 18 17 15 13 11 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 6 6 6 7 8 8 9 9 8 8 8 8 9 9 9 10 10 11 12 13 15 16 17 18 19 18 17 15 14 12 10 9 8 7 7 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
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nan 13 13 12 11 10 9 10 10 11 12 13 14 14 15 15 15 14 13 13 13 13 14 13 12 11 10 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 10 9 9 9 10 10 10 10 10 9 8 7 6 6 6 7 7 7 9 12 13 14 14 13 12 10 9 8 8 8 8 9 9 10 10 10 10 9 8 7 6 7 9 10 11 11 11 10 9 9 8 8 8 8 9 10 11 12 13 13 14 14 15 15 15 14 13 12 11 10 11 12 14 18 21 23 22 18 14 12 10 10 10 10 10 10 10 10 10 10 nan
nan 12 12 11 10 9 8 8 9 10 11 12 12 13 14 15 15 14 14 13 13 14 14 14 12 11 10 10 11 11 12 13 13 13 12 12 13 13 14 13 12 12 11 10 10 9 10 10 10 10 10 10 10 10 9 8 8 7 7 7 6 6 7 7 9 10 11 11 11 10 10 9 9 9 10 10 11 12 13 14 14 14 12 10 7 7 7 9 10 12 12 12 12 11 10 8 7 7 8 9 10 11 12 13 14 14 15 15 14 13 12 11 10 10 11 12 15 19 21 23 21 17 13 11 10 10 10 10 10 10 9 9 9 10 nan
nan 12 11 10 9 8 8 8 9 9 10 11 12 12 13 14 14 14 14 14 14 14 15 14 13 12 11 11 11 12 13 14 14 13 12 11 12 13 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 6 5 5 7 8 9 10 10 9 9 10 10 11 11 12 13 14 15 15 16 15 13 11 10 9 8 8 7 7 7 6 5 4 4 5 7 8 9 10 10 11 12 13 14 14 14 14 13 13 12 11 10 11 13 16 20 23 23 20 16 13 11 10 10 10 10 10 10 10 9 9 9 nan
nan 12 11 9 8 8 8 8 9 10 10 11 12 12 13 13 13 13 13 13 13 14 14 14 13 12 11 11 12 12 13 14 13 12 11 11 11 12 13 14 14 13 13 12 11 11 11 10 10 10 10 9 9 10 10 10 9 9 8 8 8 7 6 6 6 6 8 8 9 9 9 10 10 11 12 12 13 13 14 15 15 16 16 16 15 14 13 10 6 3 1 -1 -2 -1 1 4 6 8 8 9 9 10 11 12 13 14 14 14 14 14 14 13 12 11 12 14 19 22 23 21 18 14 12 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 10 8 7 7 7 8 9 10 10 11 12 13 13 13 12 12 12 12 12 13 13 13 12 11 11 11 11 11 12 12 12 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 9 9 10 10 10 9 9 8 8 8 7 7 7 8 8 8 8 9 10 11 12 13 13 13 13 14 14 14 15 16 16 16 16 16 15 12 9 6 2 -0 0 2 5 8 9 9 9 9 9 9 11 12 14 14 14 14 14 15 16 15 13 11 11 14 20 21 21 18 14 12 10 10 10 10 10 11 10 10 10 10 10 10 nan
nan 11 10 8 7 6 8 9 10 10 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 9 10 11 11 11 11 11 11 10 10 10 10 11 11 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 12 13 13 13 12 12 13 13 14 15 16 15 15 14 14 14 13 12 11 8 7 7 8 10 11 11 10 10 9 9 9 10 13 14 14 15 15 15 17 18 16 13 10 10 13 17 18 17 15 12 10 10 10 10 10 10 11 11 11 11 10 10 10 nan
nan 11 10 8 8 8 9 10 11 11 12 13 14 14 14 13 12 11 11 10 10 10 10 10 10 9 9 8 9 10 10 11 11 10 9 9 8 8 8 8 9 9 10 11 12 13 13 14 13 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 10 11 12 12 11 11 10 10 10 12 14 16 16 14 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 10 13 14 15 15 16 17 19 19 16 13 9 9 12 14 15 14 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 10 9 9 8 9 9 10 12 12 13 14 14 14 14 13 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 9 8 7 6 6 7 7 7 8 9 9 10 11 12 13 14 14 13 13 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 11 10 10 8 8 7 7 10 12 14 14 13 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 10 12 14 16 17 18 20 21 20 17 13 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 10 9 8 8 8 9 10 12 13 14 14 15 14 13 12 12 12 11 11 11 11 11 10 10 10 9 9 9 10 10 9 9 7 7 6 6 6 7 7 8 9 9 10 11 11 12 13 14 14 14 14 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 11 10 10 8 7 6 6 7 8 10 11 11 11 10 8 7 7 8 9 10 10 10 10 10 11 11 11 10 9 8 8 9 11 13 16 19 20 21 21 19 16 13 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 7 7 7 7 8 10 11 12 13 14 14 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 13 14 14 14 14 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 9 8 8 7 6 6 7 9 9 8 6 5 5 7 9 10 10 10 10 10 10 11 10 10 9 9 9 10 11 14 18 21 22 22 20 16 13 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 6 6 5 6 7 8 10 11 12 12 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 14 15 15 15 15 14 13 13 12 11 12 12 11 11 11 10 10 11 11 11 10 10 10 10 10 9 8 7 5 6 8 9 10 8 7 6 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 13 16 20 22 22 20 16 13 11 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 nan
nan 6 5 4 4 4 5 7 8 9 10 11 12 11 11 11 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 12 12 13 14 14 15 15 15 15 15 14 13 12 12 12 12 11 11 10 11 11 11 10 10 10 11 10 10 10 10 9 7 7 10 12 13 12 10 9 9 10 11 11 11 10 10 10 10 10 10 10 10 11 12 15 17 20 21 20 17 13 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 nan
nan 6 5 4 3 4 5 6 7 8 9 10 11 11 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 11 12 12 13 13 13 12 12 12 12 12 11 12 12 13 13 13 14 14 15 15 15 15 15 15 14 13 13 12 11 11 10 10 10 10 10 10 10 11 11 11 12 12 11 10 10 12 14 14 12 11 10 11 13 13 13 12 11 11 11 11 11 10 9 9 10 12 14 17 19 18 16 13 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 6 5 4 4 4 5 6 7 8 9 9 10 10 10 9 8 7 7 6 5 5 5 5 5 5 5 6 6 7 7 8 8 9 9 10 11 12 13 14 14 14 14 14 14 14 13 13 13 12 13 13 13 13 13 14 14 15 15 15 15 14 14 13 12 11 11 11 10 10 10 9 9 10 10 11 11 12 13 13 12 12 13 14 12 11 10 10 13 16 16 15 14 13 13 13 13 11 10 8 7 8 11 13 15 16 15 13 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 6 5 5 5 6 6 7 8 9 9 10 10 10 10 9 8 7 7 6 5 5 5 5 5 6 6 6 7 8 8 8 9 9 10 11 12 13 14 15 15 15 15 14 14 14 14 13 13 12 12 12 12 12 12 13 13 14 15 15 15 15 14 13 11 11 11 11 10 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 10 10 10 11 14 17 17 16 15 15 15 15 14 12 10 8 7 9 10 11 12 12 12 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 6 6 6 7 7 8 9 10 10 10 10 10 10 10 9 8 7 7 6 6 6 6 6 7 8 8 8 8 9 9 9 9 10 10 11 12 13 14 15 15 14 14 13 13 13 13 13 12 12 11 11 11 11 12 12 13 14 15 16 15 14 13 12 11 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 13 14 15 15 15 15 16 16 14 12 10 8 8 9 10 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 7 8 8 8 9 10 11 11 12 12 11 11 10 10 9 8 8 7 7 7 8 8 9 10 10 9 9 10 9 9 9 9 9 9 10 11 12 12 13 13 12 12 11 11 11 11 11 12 11 11 11 11 11 12 12 13 14 15 16 15 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 9 9 9 8 8 8 9 11 12 13 13 13 13 14 14 13 12 11 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 8 9 10 10 11 12 13 13 13 13 12 11 10 9 9 8 8 8 9 10 11 11 12 12 11 10 11 11 11 11 10 9 8 8 9 9 10 11 11 11 11 10 9 9 10 10 11 11 11 11 11 11 12 12 12 14 15 15 15 14 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 11 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 9 10 11 12 14 15 16 16 15 13 12 10 9 9 8 9 9 9 10 11 12 12 13 12 10 10 11 13 14 14 13 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 11 11 12 12 13 14 15 15 15 13 12 11 10 10 10 10 10 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 10 11 12 14 17 18 19 18 16 15 12 11 10 9 9 8 8 9 9 10 11 12 12 10 8 8 10 13 16 17 16 15 14 14 15 14 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 14 14 15 14 13 12 10 10 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 11 12 14 17 18 19 19 18 16 15 13 13 12 11 10 9 8 9 10 11 12 11 9 7 7 9 12 15 17 17 16 16 16 16 15 14 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 14 14 14 13 12 11 10 9 9 9 10 10 9 9 9 9 8 8 8 8 9 9 10 10 11 10 10 9 9 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 9 10 11 13 14 15 16 17 17 17 16 16 16 15 14 12 10 10 10 11 12 13 12 10 9 9 9 12 15 16 16 16 15 15 14 14 13 12 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 13 12 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 10 9 8 8 8 9 10 10 10 8 7 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 nan
nan 8 9 10 11 12 12 12 13 14 15 16 16 16 16 15 14 13 12 12 12 13 13 13 13 13 13 14 15 16 16 15 14 14 13 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 13 13 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 9 8 8 10 12 14 14 13 10 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 7 8 9 10 10 10 11 11 12 13 13 13 13 13 14 15 14 13 12 11 12 12 13 14 15 16 16 16 16 15 14 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 11 10 9 9 8 8 8 9 9 9 8 8 9 9 10 11 11 11 10 10 10 10 12 15 17 18 17 14 10 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 7 8 8 8 7 6 5 4 3 2 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 2 6 8 8 8 6 4 3 3 2 2 1 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
2 4 5 6 5 5 4 4 3 3 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 1 2 5 7 7 6 5 5 4 3 4 2 1 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 0 0 0 0 0 0 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 3 3 3 3 3 3 3 3 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 1 3 9 11 9 5 4 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 1 2 1 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
1 1 1 2 2 2 2 3 3 3 3 2 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 2 7 9 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 3 3 3 3 2 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 1 2 5 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 0 0
1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 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 1 2 2 1 0 0 0 0 0 1 4 7 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 0 0 0 0 0 0 0 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 1 1 2 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 2 3 3 1 0 1 2 3 3 5 10 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 1 4 6 7 6 2 1 3 5 5 4 5 5 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 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 5 8 10 11 15 10 5 3 3 4 6 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 0 0 0 0 0 0 1 2
1 0 0 1 1 1 1 1 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 3 3 4 7 11 12 11 9 8 7 4 3 5 9 10 8 6 4 1 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 1 3 6
1 1 1 1 1 1 1 1 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 1 4 7 13 17 13 10 7 6 6 9 13 15 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
1 1 1 1 1 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 12 11 10 10 11 12 15 16 16 13 8 4 2 1 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 0 0 0 0 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
1 1 1 1 0 0 1 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 1 1 2 3 4 7 10 12 15 16 17 15 10 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 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 1 1 3 5 8 11 12 8 5 4 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 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 1 1 1 1 2 2 2 1 2 3 4 5 8 15 22 15 9 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 0 0 0 1 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 1 1 2 3 4 5 7 8 5 2 2 4 8 14 20 26 30 21 13 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 0 0 0 0 0 0 0 0 1 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 0 0 0 0 1 2 1 2 4 7 9 11 12 13 14 16 21 27 32 32 28 26 21 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
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 2 3 4 6 8 11 16 23 31 35 35 35 36 38 38 34 30 26 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3
1 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 2 5 7 7 7 9 13 21 30 36 37 35 35 37 40 42 39 33 25 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 2 1 1 1 2 3 5 6 6 8 12 16 23 29 33 35 37 39 42 43 41 36 26 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 4 3 2 2 2 2 5 11 18 23 26 31 36 40 43 45 44 42 37 29 18 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 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 1 1 2 3 5 7 9 9 7 6 3 1 0 1 3 11 20 27 30 31 34 39 44 48 47 44 38 30 20 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 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 1 2 4 6 7 9 11 11 9 4 2 1 0 0 0 4 13 23 32 37 39 40 42 44 44 42 36 28 19 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 7 10 12 15 15 14 9 2 0 0 0 0 0 3 9 18 29 39 44 41 37 34 31 26 21 15 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 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 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 4 7 13 19 23 25 24 20 12 3 0 0 0 0 1 6 8 12 18 27 33 32 28 24 21 16 11 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 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 1 0 0 0 0 0 0 0 0 0 1 3 5 7 9 12 19 27 34 37 34 30 26 19 9 3 1 2 3 3 9 13 17 20 23 27 26 23 18 14 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 0 0 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 1 1 2 3 6 7 8 11 15 23 32 40 44 36 25 18 14 12 11 10 9 9 6 9 13 16 19 23 22 20 17 14 11 9 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 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 1 1 1 1 1 1 1 1 2 3 6 8 10 14 21 29 37 43 42 30 18 12 9 7 4 5 8 9 8 8 10 11 12 14 15 14 12 10 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 1 1 1 0 0 0 2 5 8 9 13 18 24 28 31 31 27 19 14 11 9 8 6 8 9 10 9 9 10 10 11 13 13 12 10 9 7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 1 1 0 0 0 0 1 3 7 8 9 11 13 15 15 15 12 8 7 8 8 8 7 5 7 10 12 12 12 12 12 13 14 13 12 11 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 2 5 8 7 6 5 5 5 4 3 1 1 2 4 6 7 8 7 11 14 15 14 14 14 14 14 14 13 13 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 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 1 2 4 5 4 3 2 1 1 1 0 0 0 1 3 6 8 9 10 13 16 17 16 15 15 14 13 11 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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