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 10 8 5 8 10 10 9 9 10 11 12 13 14 14 11 8 10 12 11 10 9 6 6 9 11 12 13 14 16 16 15 12 11 11 10 11 11 10 10 10 11 10 9 8 8 8 8 8 7 5 4 5 8 13 13 9 6 5 5 6 8 9 6 6 9 11 11 11 10 8 7 7 7 6 6 6 6 4 4 nan
nan 13 10 7 9 11 10 10 10 11 12 13 12 12 13 11 8 8 10 11 11 10 8 7 9 9 11 12 15 17 16 13 11 10 10 11 11 10 9 8 8 9 10 9 8 8 9 8 7 6 6 7 8 9 13 11 5 2 3 5 8 9 8 7 7 8 10 11 10 8 7 7 8 8 7 6 6 5 4 5 nan
nan 12 12 10 11 10 8 9 10 10 11 12 12 11 10 10 8 6 7 10 11 11 10 8 8 9 10 12 14 15 14 11 10 10 10 10 10 9 7 7 8 9 10 10 10 10 9 7 5 5 8 9 9 10 11 8 3 2 4 7 10 10 8 6 7 8 9 9 8 8 8 9 9 9 8 6 6 5 6 6 nan
nan 11 12 12 11 9 7 8 10 9 9 10 10 10 9 9 9 7 7 8 10 11 9 8 8 9 11 12 13 13 13 12 12 11 9 8 8 7 7 8 9 11 11 11 10 10 8 5 5 7 10 11 10 10 8 4 1 3 6 10 10 8 7 7 8 9 9 9 8 8 8 9 9 9 7 7 7 7 8 8 nan
nan 10 11 12 12 9 7 8 9 9 9 9 10 10 9 9 9 8 8 10 10 10 9 9 9 10 11 13 11 12 13 13 12 10 7 6 7 7 8 9 10 11 11 11 10 8 5 4 6 9 10 10 9 8 6 2 2 5 9 10 8 8 8 9 10 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 nan
nan 10 11 12 12 10 8 8 9 10 10 9 10 10 11 10 8 8 9 10 10 10 9 9 11 11 11 12 12 11 12 13 11 9 6 5 6 7 8 10 10 11 11 10 8 5 4 5 8 10 11 9 7 7 6 4 4 8 10 8 6 8 10 10 9 8 7 6 7 7 8 8 9 10 11 11 11 10 9 9 nan
nan 10 11 12 11 10 9 8 8 10 9 10 11 11 11 11 9 8 9 10 10 10 9 9 11 12 10 11 13 12 12 11 10 7 5 5 6 8 8 9 10 10 9 8 6 3 3 7 9 11 11 7 5 8 9 7 7 8 8 5 5 5 7 8 9 9 7 6 6 7 8 9 10 12 13 13 12 10 9 8 nan
nan 11 11 11 11 11 9 8 8 9 9 9 10 10 11 11 11 10 9 9 10 10 10 10 10 11 10 11 14 14 13 11 9 6 5 5 7 8 8 9 10 9 7 5 4 4 6 8 10 10 8 5 6 10 12 9 7 7 5 3 3 5 7 9 11 10 8 6 6 6 8 9 11 13 13 13 11 9 9 9 nan
nan 12 10 10 11 12 11 9 8 8 8 8 9 11 10 10 10 10 10 9 10 12 12 11 10 9 10 14 16 14 12 10 10 9 8 8 9 8 8 9 9 7 5 4 4 6 8 8 8 7 6 6 10 12 11 8 6 6 4 2 4 7 10 12 12 9 7 6 6 6 7 10 12 12 12 11 10 9 8 10 nan
nan 14 12 10 11 12 11 10 9 7 7 8 10 11 10 10 9 9 9 9 10 14 14 11 10 9 11 16 15 13 11 11 10 11 11 11 10 9 8 8 6 5 5 5 7 7 8 8 6 5 6 8 11 11 8 5 5 5 4 3 7 11 13 14 12 8 6 5 5 6 9 10 11 10 8 6 7 9 11 11 nan
nan 14 13 11 11 11 12 10 9 7 7 9 10 10 10 9 8 8 8 9 11 15 15 12 11 12 13 13 14 12 11 11 12 12 11 11 10 9 8 5 3 3 5 8 8 7 8 8 7 6 6 8 10 10 7 4 6 6 4 7 12 14 14 13 10 8 7 5 4 6 10 12 10 7 4 3 6 10 13 13 nan
nan 14 13 12 11 12 12 10 8 8 7 9 10 11 10 8 7 8 8 9 12 14 15 15 14 13 12 12 12 12 11 12 12 11 10 9 9 9 7 3 2 4 7 9 9 8 8 9 9 8 8 8 9 9 6 6 8 6 6 9 11 12 12 12 9 8 8 7 6 8 10 10 9 6 2 1 6 11 14 13 nan
nan 16 13 13 13 13 13 10 8 8 8 8 10 12 12 9 7 7 8 10 12 15 16 15 14 12 12 13 13 13 13 13 11 8 8 10 11 9 5 2 3 6 8 9 9 9 9 10 10 10 9 7 6 5 6 7 8 7 6 6 7 9 12 13 10 8 8 8 8 8 10 10 7 4 3 3 8 12 14 14 nan
nan 16 15 16 15 13 12 11 9 8 8 8 9 11 13 11 8 7 8 11 14 15 14 13 11 13 16 17 15 13 13 13 10 6 8 12 12 8 3 3 6 9 10 9 9 10 10 12 12 10 8 5 4 4 6 8 8 7 5 4 5 7 12 14 12 9 7 8 9 9 9 9 7 6 4 6 10 13 13 12 nan
nan 13 14 15 16 13 11 11 9 8 8 8 8 10 13 11 9 7 9 13 15 15 14 12 12 16 19 18 15 14 13 13 10 9 11 12 10 5 4 7 8 9 9 10 10 10 11 12 11 9 6 4 3 4 6 8 9 7 6 5 5 8 12 14 12 9 8 8 9 9 8 7 6 7 7 8 10 12 12 9 nan
nan 10 12 13 15 15 12 10 8 7 7 7 8 10 11 10 10 11 13 14 15 16 15 14 14 16 17 14 13 15 16 14 11 10 11 9 7 6 7 8 8 8 9 10 10 11 12 12 10 7 4 3 4 6 8 9 9 8 6 6 7 8 11 12 10 9 9 9 10 10 9 6 5 5 9 11 10 10 9 7 nan
nan 9 10 11 14 15 13 10 10 9 6 5 6 8 8 10 13 16 17 15 15 16 16 16 15 16 15 13 13 15 16 14 11 10 8 7 7 7 8 7 7 8 9 10 10 11 12 11 8 6 5 5 6 9 11 10 9 8 7 7 8 9 10 10 9 9 9 10 10 10 8 6 6 6 9 10 9 9 7 6 nan
nan 9 9 11 13 14 12 9 10 11 9 5 5 6 8 13 17 19 19 16 15 16 15 14 14 14 14 12 12 13 13 12 10 8 7 7 8 8 7 7 7 8 10 10 11 11 11 10 7 6 6 7 8 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 8 6 6 8 9 10 9 8 7 6 5 nan
nan 10 9 10 13 12 9 7 10 11 9 6 5 8 12 16 18 18 16 15 16 15 14 13 13 12 12 12 11 10 10 8 8 8 8 9 8 6 5 6 8 10 11 11 11 11 11 8 6 6 8 9 9 8 8 9 10 10 10 9 8 8 10 10 11 11 12 12 10 7 6 6 8 10 10 9 8 7 6 5 nan
nan 10 10 11 12 11 8 6 9 10 8 6 7 12 16 17 16 14 14 14 15 15 15 14 12 11 11 10 10 9 8 7 6 7 7 9 9 6 6 8 10 12 11 11 10 10 8 7 6 7 9 9 9 8 8 8 8 9 10 9 8 8 9 9 9 10 13 14 12 9 7 7 8 9 9 8 7 7 7 7 nan
nan 9 11 13 13 11 7 5 5 5 6 9 12 16 17 16 14 12 12 13 14 14 14 15 14 10 9 9 9 8 8 7 6 6 7 10 11 10 9 10 11 12 12 11 10 8 6 5 7 8 8 8 8 7 7 7 8 8 7 7 7 7 8 9 9 11 14 14 12 9 7 8 10 10 9 7 5 6 8 8 nan
nan 10 12 13 14 11 7 4 2 2 6 13 17 18 16 14 12 11 11 12 13 13 13 15 14 11 9 8 8 8 8 7 7 7 8 11 14 14 12 11 11 11 10 10 8 6 5 6 8 8 7 7 6 6 6 7 7 6 6 5 5 6 8 9 10 11 12 12 11 10 9 9 11 10 8 7 6 5 7 8 nan
nan 10 11 13 13 11 7 4 2 1 6 13 17 17 15 12 10 9 11 13 14 13 12 13 13 12 10 9 8 8 8 8 8 9 9 11 14 15 13 11 10 10 10 9 7 5 6 7 7 7 5 4 4 5 6 8 7 6 5 4 4 5 7 9 9 9 9 10 10 11 12 12 11 10 8 7 6 6 6 7 nan
nan 9 10 12 12 11 8 6 4 2 4 11 17 16 13 11 9 9 11 14 14 13 11 11 12 12 11 10 9 9 9 9 9 10 11 11 12 15 14 11 9 10 10 8 7 7 6 6 5 4 3 3 5 6 7 8 7 5 4 5 5 5 6 8 9 8 8 8 8 10 13 14 12 10 9 8 7 7 6 6 nan
nan 9 10 12 12 11 8 6 4 4 6 12 15 13 10 9 9 10 12 13 13 12 10 11 12 12 11 10 10 10 9 9 9 9 10 10 12 14 12 10 9 9 9 8 6 6 7 6 5 5 4 5 8 9 9 9 6 3 4 6 7 6 6 7 7 8 8 8 7 7 11 13 14 13 10 8 8 8 7 6 nan
nan 9 11 12 12 11 7 5 5 6 8 11 11 10 9 9 10 11 11 12 12 11 10 10 11 10 9 8 10 10 9 9 10 10 9 9 11 12 11 10 9 9 9 8 6 6 9 9 7 6 6 7 8 9 10 8 6 3 2 5 8 8 7 6 6 8 9 8 7 7 9 11 14 15 12 8 8 9 7 6 nan
nan 9 11 11 12 11 8 5 6 7 8 10 10 8 8 9 10 10 10 10 11 11 10 9 9 8 7 9 11 11 10 10 11 12 10 10 11 11 11 10 10 10 10 9 7 5 9 11 7 5 6 7 8 9 10 9 7 4 2 4 8 9 7 6 7 8 8 8 8 8 9 11 13 14 13 9 9 8 7 7 nan
nan 8 9 10 12 12 9 6 5 6 8 9 9 8 8 8 8 8 8 9 11 11 10 10 10 8 8 9 12 14 13 12 12 11 9 8 9 10 10 10 10 9 9 9 8 4 7 8 6 5 6 9 10 11 11 10 9 7 6 5 6 8 7 7 10 10 8 8 9 10 11 12 13 12 12 11 9 8 6 5 nan
nan 9 8 10 12 13 10 6 5 6 8 9 9 9 9 8 7 7 7 9 10 10 11 12 11 10 9 9 11 13 14 13 11 9 7 8 8 9 10 10 9 9 8 7 7 5 5 6 6 7 8 10 12 13 13 12 12 11 9 7 4 6 8 10 11 10 9 9 10 11 12 12 12 11 11 12 11 9 7 5 nan
nan 10 9 10 12 11 10 9 7 7 7 8 10 11 10 9 9 8 7 8 10 11 12 12 12 11 10 9 11 13 13 12 10 7 7 8 8 9 9 9 8 9 9 7 5 5 6 7 8 9 10 11 11 12 12 13 15 16 12 8 4 5 10 11 11 10 9 9 11 11 11 11 10 10 11 12 12 11 9 6 nan
nan 11 10 11 11 10 11 12 10 8 7 8 10 11 12 11 10 8 7 10 11 12 12 12 11 11 10 11 13 11 10 11 10 8 7 7 8 8 9 9 9 9 9 8 5 5 7 8 9 10 11 10 11 12 12 13 14 16 14 10 6 7 11 11 10 9 8 9 11 11 9 9 9 9 11 11 12 11 10 8 nan
nan 11 12 12 12 13 14 11 9 9 9 10 10 10 10 10 10 9 10 12 13 12 11 11 10 9 10 12 12 9 8 10 11 9 8 7 6 7 9 10 11 11 10 9 6 5 7 8 10 12 13 13 12 12 11 11 11 11 12 11 8 9 11 10 9 9 8 9 11 11 10 9 8 9 10 10 11 11 11 8 nan
nan 11 13 12 12 14 13 10 9 10 12 11 9 7 7 9 10 12 13 13 12 11 10 11 9 8 9 10 8 8 10 12 11 10 9 7 7 6 6 10 13 12 10 8 7 7 7 7 9 11 15 15 13 12 10 9 7 7 9 10 11 11 10 10 9 8 9 11 11 11 10 9 9 9 9 9 10 11 11 6 nan
nan 14 13 11 11 12 10 8 9 11 14 11 7 6 7 9 11 13 13 13 11 10 10 11 11 9 7 7 8 10 13 13 12 10 9 8 8 7 5 9 14 13 11 8 8 8 8 7 6 7 14 16 14 11 9 6 5 5 8 11 13 12 10 9 8 9 9 11 11 11 10 10 9 8 9 9 10 11 10 6 nan
nan 14 13 11 10 11 8 6 8 12 14 9 5 8 10 10 10 10 11 11 10 9 10 10 10 8 5 6 8 11 14 14 11 9 8 9 8 7 7 10 14 13 10 8 8 8 8 7 5 8 15 16 13 10 8 6 5 6 8 12 14 12 10 9 9 9 10 11 11 11 10 10 10 10 9 9 9 9 9 7 nan
nan 9 12 13 12 11 8 5 8 12 13 9 7 9 11 10 9 9 9 9 9 9 10 9 8 6 6 8 10 11 12 13 11 9 9 8 8 8 9 12 13 11 9 8 9 8 8 7 6 12 17 16 11 8 7 6 6 7 9 12 13 11 9 10 12 10 9 11 12 11 9 9 9 10 10 11 11 9 8 7 nan
nan 5 10 16 15 12 11 8 9 12 13 10 8 8 9 8 8 8 8 7 6 7 8 9 9 9 9 11 12 11 10 10 9 9 8 9 10 11 12 12 11 9 7 9 10 9 8 5 6 14 18 15 10 8 7 7 7 8 9 11 11 10 9 9 12 12 9 10 11 11 10 8 9 9 10 11 11 10 8 7 nan
nan 6 9 14 16 15 13 12 13 13 13 10 7 6 6 7 7 7 6 5 5 6 8 12 13 11 10 10 12 11 9 8 7 6 7 9 13 15 12 11 10 7 6 10 10 10 8 5 9 16 19 15 10 8 8 9 9 8 9 10 10 10 11 10 11 11 9 10 11 11 10 10 9 8 8 10 11 10 8 7 nan
nan 7 9 12 13 12 13 15 16 14 11 8 7 5 5 6 5 5 5 6 7 7 9 12 13 12 9 9 10 10 9 8 6 5 6 8 13 16 13 9 8 7 7 9 10 8 7 7 15 22 21 15 10 9 10 10 9 9 9 9 11 11 11 12 10 9 9 9 10 11 11 11 11 10 9 9 10 9 8 7 nan
nan 9 11 12 10 8 10 14 17 14 9 8 8 6 6 5 4 4 6 8 8 6 6 9 11 11 8 7 8 9 9 8 8 8 8 8 10 15 15 11 8 7 7 8 8 7 6 9 21 28 22 13 9 9 10 10 10 9 9 10 11 11 11 12 10 9 7 7 9 12 12 12 13 12 10 9 9 9 8 6 nan
nan 8 10 11 10 8 7 11 15 13 9 9 8 7 6 6 5 6 7 7 7 4 4 6 9 10 9 8 8 8 10 9 10 14 14 12 12 15 15 11 9 8 7 6 7 7 6 12 26 30 20 11 8 9 9 9 9 9 9 9 9 9 10 11 11 9 7 6 8 12 12 13 13 11 10 10 10 9 8 6 nan
nan 7 9 9 11 11 10 10 11 11 10 9 8 8 7 7 6 6 7 7 6 4 3 6 10 11 10 9 10 10 11 11 12 14 15 14 14 13 11 9 7 9 8 6 7 8 7 16 25 24 16 10 8 8 8 8 8 8 8 7 7 6 9 11 11 11 10 10 9 11 11 12 13 12 9 8 10 11 9 7 nan
nan 9 9 8 9 12 14 11 9 8 9 9 8 7 7 8 7 6 7 7 7 4 5 7 9 11 11 9 10 11 12 12 11 12 14 14 13 11 9 8 9 10 7 6 7 8 9 16 21 18 13 9 8 7 7 7 8 7 7 6 4 5 10 11 10 11 12 13 13 11 11 11 12 12 9 8 9 9 9 10 nan
nan 12 11 9 8 12 14 12 10 9 9 8 7 7 8 9 8 7 8 8 6 4 7 10 10 8 8 9 10 10 10 10 11 13 14 13 12 11 9 10 12 11 7 6 7 8 11 15 18 15 11 9 9 7 6 6 7 7 7 7 4 5 9 10 10 11 13 14 14 13 12 11 11 9 8 10 11 11 11 12 nan
nan 16 14 10 8 10 14 13 10 9 9 8 7 7 8 10 9 8 9 9 6 5 9 11 10 7 6 8 9 9 8 10 12 13 16 15 12 8 8 11 14 13 9 8 7 7 10 15 16 13 11 10 10 8 7 7 6 5 5 6 5 5 7 9 10 12 14 14 13 13 12 12 10 7 7 9 12 12 9 12 nan
nan 18 16 13 10 10 13 13 10 9 8 7 7 7 8 9 10 9 9 8 6 7 11 12 11 8 7 9 9 8 8 11 12 14 16 15 11 7 7 11 17 16 11 8 7 6 9 13 15 13 11 11 10 9 9 8 5 3 3 5 6 5 6 9 11 14 15 13 12 11 11 11 11 8 7 8 10 7 -1 1 nan
nan 16 17 16 14 12 15 15 10 8 7 6 6 7 9 10 8 8 7 6 6 7 10 12 13 10 9 9 9 7 8 10 12 13 14 13 8 5 5 11 20 20 12 9 10 8 8 12 14 13 11 11 11 10 9 7 6 3 3 5 7 6 6 9 12 15 15 12 11 10 9 10 11 10 8 7 7 2 -8 -11 nan
nan 11 13 15 16 17 18 18 12 7 6 6 6 8 10 10 7 5 4 6 8 8 10 11 13 11 10 9 8 7 8 10 11 12 13 12 8 4 4 10 22 24 14 9 12 11 8 12 13 12 11 11 12 11 9 8 6 3 3 4 6 6 6 9 11 13 14 13 10 9 8 9 10 11 9 7 5 -0 -8 -12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 10 14 16 14 10 6 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
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0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 6 9 12 16 20 20 17 14 12 10 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 2 5 6 6 6 8 12 15 18 21 21 20 18 16 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 0 0 0 0 0 0 0 0 0 0 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 7 8 8 9 11 13 17 21 24 24 22 21 18 13 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 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 4 8 10 11 12 13 16 20 26 28 26 23 21 19 16 10 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 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 2 6 10 12 14 15 16 20 25 31 31 27 22 19 19 18 12 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 0 0 0 0 0 0 0 0 1 5 10 14 15 16 17 19 24 29 33 32 30 26 22 20 19 14 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 1 0 1 3 8 15 19 18 18 20 22 26 29 32 33 34 30 26 21 20 16 10 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 2 3 3 3 7 13 19 22 21 22 24 25 26 28 31 33 34 31 26 24 24 22 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 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 2 2 3 4 5 6 6 10 17 22 25 24 25 26 25 25 27 31 34 34 32 29 27 27 24 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 2 4 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0
1 3 4 5 6 7 8 9 10 13 19 25 27 27 27 26 24 25 28 32 37 38 34 30 26 22 19 12 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 1 4 7 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0
2 5 6 8 10 11 11 12 12 16 21 27 29 29 27 26 25 28 32 37 42 40 32 23 15 10 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0
3 5 7 9 12 13 14 15 15 18 23 28 30 30 28 29 31 36 40 43 42 34 22 12 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 1 4 8 10 11 11 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0
4 6 8 10 12 14 16 18 16 19 25 29 31 29 30 33 38 42 43 41 34 22 10 3 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 2 6 9 11 11 11 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0
6 7 9 11 13 16 18 19 14 19 27 31 30 29 31 34 38 39 36 29 19 9 3 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 10 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0
7 8 10 14 17 20 20 18 18 23 28 30 28 27 28 30 30 27 22 13 6 3 2 2 2 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 8 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0
8 9 11 15 19 22 21 18 18 24 28 27 25 22 22 21 18 13 8 3 2 2 3 3 2 4 4 4 4 3 2 1 0 0 0 0 0 0 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0
9 10 12 15 19 22 21 19 18 22 26 24 21 18 15 12 8 4 3 1 2 3 4 4 4 4 4 4 4 4 4 2 1 0 0 0 1 2 2 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 10 11 15 19 21 21 19 18 21 24 21 18 14 10 6 2 1 1 2 3 3 4 4 4 4 4 4 4 4 4 2 1 1 1 2 2 3 3 3 3 3 4 4 3 3 2 1 0 0 0 0 0 0 0 0 1 2 3 5 6 6 6 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 9 9 14 18 20 20 17 18 22 23 20 16 12 7 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 2 2 4 4 4 4 4 4 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 1 2 3 5 7 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 8 8 11 15 17 18 17 20 23 24 21 16 11 6 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 4 4 3 3 3 3 4 3 2 2 1 0 0 0 0 0 0 0 0 0 1 1 3 5 7 8 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 7 8 11 14 16 17 19 22 24 24 22 17 12 8 5 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 6 8 12 15 18 19 21 23 23 22 23 20 17 12 8 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 11 12 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 6 9 13 16 19 20 22 24 23 22 26 24 21 15 10 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 4 8 11 15 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 8 11 14 16 18 21 25 25 25 27 30 27 22 16 11 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 4 8 13 16 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 11 13 14 16 20 24 28 28 30 32 31 26 20 15 11 9 7 6 5 5 5 5 5 4 4 4 5 4 4 3 2 2 2 3 3 3 3 3 3 4 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 1 2 5 10 14 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
14 15 15 16 18 23 28 32 34 36 34 28 22 17 13 10 8 6 5 4 4 4 4 4 4 5 5 5 4 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 2 3 6 10 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 18 17 18 22 26 31 37 40 39 33 24 19 14 10 7 5 4 3 3 4 4 4 4 4 5 5 5 4 2 1 1 1 2 2 2 2 2 3 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 1 2 2 2 5 9 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 19 19 21 25 29 35 40 41 37 29 20 16 11 7 4 3 2 2 3 3 4 4 4 4 4 5 5 4 2 1 0 1 1 1 2 2 2 3 4 4 4 4 3 2 1 0 0 0 0 0 0 0 1 2 2 1 1 3 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 24 23 24 28 32 39 41 40 34 22 15 11 7 4 2 2 2 2 3 3 4 4 4 4 4 5 5 4 2 1 0 0 0 1 2 2 2 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 1 2 1 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
28 30 27 26 29 32 43 46 43 34 19 10 6 4 3 2 2 2 2 3 4 4 4 4 4 4 4 5 4 3 2 1 0 0 1 2 2 2 3 3 3 3 2 2 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
29 34 31 30 34 38 46 51 44 29 13 5 3 3 3 3 2 2 3 3 4 4 4 4 4 4 5 5 5 4 2 2 1 1 2 2 2 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
28 35 36 37 42 48 50 48 36 20 7 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 3 2 2 2 1 1 2 2 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
30 39 44 49 55 60 54 40 24 10 3 1 2 3 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 4 3 2 2 2 2 3 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
29 40 50 60 67 68 52 30 13 4 2 1 1 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 3 2 2 2 3 4 4 3 2 1 1 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
25 37 53 66 70 63 41 20 7 2 1 1 0 1 1 2 2 3 3 4 4 4 4 4 4 3 3 4 4 4 3 2 2 2 2 3 3 2 2 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 0
32 45 65 81 83 65 33 14 4 2 1 0 0 0 0 1 1 2 3 4 5 6 7 6 4 3 4 4 4 4 3 2 2 2 2 3 3 2 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 0 0
51 62 82 98 96 70 34 14 5 2 1 0 0 0 0 0 1 2 3 5 7 8 8 6 4 3 4 4 4 4 3 2 2 2 2 2 2 2 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 0 0
72 78 94 105 99 70 35 15 6 3 1 0 0 0 0 0 1 2 4 6 8 9 8 6 4 3 4 4 4 3 3 2 2 2 2 2 2 1 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 0 0
88 91 98 101 93 65 35 16 7 4 1 0 0 0 0 0 0 1 3 5 8 8 6 4 3 3 4 4 3 3 2 2 2 2 2 2 1 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 0 0
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