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 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 6 6 5 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 11 12 12 11 10 nan
nan 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 11 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 12 13 12 11 10 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 11 11 11 11 10 9 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 13 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 8 9 9 9 9 8 8 9 8 8 8 8 9 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 10 nan
nan 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 12 14 13 12 10 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 nan
nan 9 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 12 14 14 12 10 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 6 6 7 7 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 nan
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nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 10 10 11 11 12 12 13 13 12 12 12 11 11 10 11 11 12 11 9 8 7 6 5 5 5 5 5 6 6 7 7 8 8 8 7 7 6 5 3 2 3 4 5 5 6 6 8 11 15 16 16 14 11 10 10 10 10 9 9 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 8 8 9 9 10 11 10 9 8 7 7 6 6 6 6 6 7 7 7 7 8 8 7 6 5 5 4 2 2 3 5 6 6 5 6 7 10 15 19 20 17 12 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 10 10 10 10 9 nan
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nan 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 9 9 9 9 10 10 10 10 11 10 10 11 11 12 12 12 12 12 11 10 9 9 9 8 8 7 7 9 10 12 11 10 9 6 6 6 6 6 6 5 5 5 7 9 12 14 14 13 12 11 11 10 11 11 11 11 10 10 9 9 9 8 6 4 4 5 8 9 10 11 11 10 9 9 9 8 8 7 7 7 7 7 8 9 10 10 10 11 11 11 11 12 14 15 17 17 18 19 20 21 19 15 12 10 8 8 9 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 11 11 11 12 12 12 13 13 12 11 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 11 13 13 13 13 12 12 11 11 10 10 9 8 8 9 10 12 12 12 11 9 7 6 6 6 5 5 5 4 3 4 5 7 9 10 10 10 10 9 9 9 8 8 8 8 7 7 8 7 7 5 3 2 3 4 6 9 11 13 14 14 13 12 10 8 7 6 6 7 8 9 9 10 10 10 10 10 10 11 12 14 16 17 17 18 18 19 19 16 12 9 7 7 9 10 10 10 10 10 10 9 9 nan
nan 9 9 9 9 9 9 10 10 11 12 13 13 14 14 13 12 11 10 10 10 10 11 11 10 9 8 7 7 6 6 8 11 13 14 15 14 13 12 12 12 11 10 9 8 9 10 11 12 12 11 11 9 8 7 7 6 5 5 5 4 4 5 5 6 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 5 4 4 4 3 4 4 6 9 10 11 11 9 7 6 6 6 7 8 9 10 10 10 10 10 10 10 10 11 13 15 16 16 16 16 18 19 19 15 11 7 6 8 10 10 10 10 10 10 10 10 10 nan
nan 9 8 8 8 8 8 9 9 10 11 12 13 14 15 14 13 12 11 10 9 10 10 11 10 9 7 5 4 4 5 8 12 14 15 15 14 13 12 12 11 10 10 9 9 10 11 11 12 12 12 11 10 9 9 8 8 7 6 6 6 6 6 7 8 9 10 10 10 9 8 8 8 8 9 8 8 8 7 7 7 6 6 6 6 6 5 3 1 1 1 3 3 4 4 4 5 6 7 8 9 10 10 10 10 10 10 9 9 10 12 15 17 17 17 16 16 18 19 18 14 10 8 8 9 10 11 11 11 10 10 10 10 10 nan
nan 9 9 8 8 8 8 8 9 9 10 10 11 13 14 14 13 12 11 9 9 9 9 9 9 8 6 5 4 4 5 9 12 14 15 15 14 13 12 11 10 10 9 9 9 10 11 12 12 13 12 12 11 11 11 11 10 10 9 9 8 8 8 8 9 10 11 11 10 10 10 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 5 3 1 -1 -1 0 2 3 5 7 8 9 9 10 10 10 10 10 10 9 9 10 12 15 19 19 18 15 14 16 18 18 16 12 9 8 9 10 10 11 11 10 10 10 10 10 10 nan
nan 10 9 9 8 8 8 9 9 9 9 9 9 10 11 13 13 12 11 9 9 9 8 8 7 7 6 5 5 6 7 9 10 12 13 14 14 12 11 10 9 9 9 10 10 11 12 12 13 13 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 10 11 11 11 11 13 15 16 16 15 13 12 10 9 8 8 8 7 7 8 8 8 7 6 5 4 3 4 5 6 8 8 9 10 10 10 10 10 10 10 10 10 10 11 14 18 20 19 16 13 13 15 16 16 13 9 8 9 9 10 10 11 11 10 10 10 10 10 10 nan
nan 10 10 10 9 9 9 9 9 9 8 8 8 9 10 11 12 12 11 10 10 9 8 8 7 7 7 7 8 9 9 9 9 10 11 13 13 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 11 14 16 18 19 20 19 18 16 13 11 10 9 9 10 10 11 11 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 12 15 18 19 18 15 13 14 15 16 14 10 8 8 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 10 10 9 9 9 9 9 8 8 8 8 9 10 11 12 11 11 10 10 9 8 8 7 7 8 9 10 10 9 8 8 10 12 12 12 12 11 11 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 10 10 10 11 10 10 10 10 10 9 9 9 11 13 14 16 17 19 21 21 21 19 15 13 11 10 11 13 14 14 13 12 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 14 17 20 20 18 16 16 17 17 17 13 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 11 11 10 10 9 9 9 9 8 8 7 7 8 9 10 11 11 11 10 10 10 10 9 8 8 8 10 10 10 9 7 7 9 10 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 10 9 9 9 10 11 11 12 13 15 17 19 21 21 19 17 14 11 10 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 11 13 16 19 20 20 18 16 16 16 16 15 12 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 12 11 11 10 9 9 9 9 8 7 7 7 7 8 9 9 10 11 10 10 10 10 10 10 9 9 10 11 10 9 8 8 9 10 10 11 12 12 11 11 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 11 13 14 16 18 19 19 17 13 9 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 12 11 10 10 12 15 18 19 18 16 14 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 12 12 11 10 10 10 9 9 8 7 6 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 11 10 10 10 10 11 10 10 9 9 9 10 11 12 12 12 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 10 10 12 12 13 14 15 17 18 19 16 12 10 8 7 7 7 7 7 7 8 8 9 10 11 12 13 13 14 14 13 12 11 10 11 14 16 18 17 14 12 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 nan
nan 13 13 12 11 10 10 10 9 8 7 7 6 6 6 6 7 8 9 10 10 10 10 10 9 8 8 8 9 10 11 12 12 12 12 11 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 9 10 11 11 11 11 12 12 11 11 10 11 11 12 13 14 14 14 14 15 16 18 18 16 15 13 12 11 11 10 9 9 10 10 11 12 13 13 14 14 14 13 12 11 11 11 13 15 16 16 13 11 9 8 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 nan
nan 15 14 12 10 9 9 9 8 8 7 6 6 6 6 7 8 9 10 11 11 11 10 9 8 7 8 8 9 10 11 12 12 12 12 11 11 10 10 10 9 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 13 12 12 13 14 15 16 17 16 16 15 14 13 13 13 14 14 14 15 15 15 15 14 14 13 12 11 11 12 14 15 14 12 9 8 8 8 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 nan
nan 17 15 12 10 9 8 8 8 7 7 7 7 7 8 9 9 10 11 12 12 12 11 9 7 7 8 9 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 10 11 12 13 14 14 14 13 12 12 11 10 9 9 10 12 14 15 15 15 15 15 16 17 18 19 19 19 19 18 16 15 14 13 13 13 12 12 13 14 14 12 9 8 7 8 9 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 nan
nan 17 15 12 11 10 9 8 8 8 8 8 9 9 10 11 12 12 13 13 13 12 11 9 7 7 8 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 13 14 14 14 12 11 11 11 10 9 9 9 9 10 12 13 14 14 15 16 18 19 20 21 21 21 20 18 16 14 13 13 14 14 14 14 14 14 13 11 9 8 8 9 10 10 11 11 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 nan
nan 15 14 13 12 12 11 10 10 10 10 11 12 12 13 14 14 14 14 14 14 13 12 10 9 9 10 11 13 13 13 13 12 11 10 11 12 12 12 12 12 12 12 12 11 10 8 8 9 10 11 11 11 10 10 10 10 9 10 10 11 11 11 11 11 12 12 13 14 15 14 13 12 11 10 10 10 10 9 9 9 10 11 12 12 13 14 15 16 17 17 18 18 18 16 14 12 12 12 13 14 14 14 14 14 13 12 10 9 9 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 12 12 12 13 13 14 15 15 16 16 16 16 16 16 16 16 15 14 14 13 13 13 14 14 15 15 14 12 11 11 12 12 12 11 11 12 12 12 12 10 9 9 9 10 11 11 12 11 11 11 10 10 9 9 10 11 11 11 12 12 13 13 15 16 16 15 14 12 11 11 11 10 10 10 9 9 9 9 9 10 11 12 13 14 14 14 14 15 13 12 10 10 10 11 13 13 13 13 13 12 12 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 8 8 8 9 11 12 14 16 17 18 18 18 17 17 17 17 17 17 17 18 18 17 16 15 15 15 15 16 16 16 14 12 11 11 12 11 11 10 10 10 11 11 11 10 9 10 10 11 11 12 12 11 11 11 10 9 9 9 10 11 12 12 12 13 13 14 15 17 17 16 15 13 12 11 11 11 10 10 9 8 8 7 7 8 10 11 12 12 13 13 14 14 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 7 8 9 10 12 14 16 18 18 18 17 16 15 15 15 15 16 17 19 19 19 18 16 14 14 14 15 16 16 15 13 11 11 10 10 9 8 8 8 9 10 10 10 10 11 11 11 12 12 13 13 12 12 12 11 10 9 10 11 12 13 13 13 13 13 14 15 17 17 17 15 14 12 11 11 10 10 10 9 8 8 7 8 9 10 10 11 11 12 13 14 14 13 12 11 11 11 10 10 10 11 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 nan
nan 9 10 10 12 13 15 17 17 17 16 14 12 11 11 12 13 14 16 18 18 17 16 15 14 13 13 14 15 15 14 11 9 8 7 7 7 7 7 8 9 9 10 11 11 12 12 12 13 13 14 15 15 14 13 11 11 11 11 12 12 13 13 12 12 12 13 15 16 16 16 15 14 13 12 11 10 10 10 9 8 8 8 9 9 10 10 11 11 12 12 13 13 12 12 12 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 11 12 13 14 15 15 15 14 13 11 9 9 9 9 11 13 14 15 15 15 16 16 15 13 13 13 14 15 14 10 7 6 6 7 8 8 8 8 9 10 11 12 12 13 13 14 14 14 15 15 15 14 13 12 12 12 12 12 12 11 11 12 12 12 13 14 15 15 15 15 14 13 12 11 10 10 9 9 9 9 8 9 9 10 11 11 12 12 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 12 12 13 13 12 12 12 11 11 11 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 11 12 13 14 14 14 14 13 11 9 8 7 7 8 9 11 12 13 13 14 15 16 15 14 13 13 15 15 13 10 8 7 8 9 9 9 9 9 10 11 12 13 14 14 14 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 12 12 13 13 14 14 15 15 15 14 13 12 11 10 10 10 9 9 9 9 9 10 10 11 12 11 10 10 9 10 10 11 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 9 10 11 13 13 14 14 13 11 9 7 7 6 7 8 9 11 12 12 13 14 15 15 14 13 12 13 14 14 13 11 9 9 9 9 9 9 9 10 12 13 14 14 14 14 13 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 12 13 13 13 14 14 15 15 15 14 14 13 12 11 11 10 10 9 9 9 9 9 10 10 10 10 9 8 8 9 9 10 11 11 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 8 9 11 12 14 14 15 13 10 8 7 6 6 6 8 10 11 12 12 13 14 15 15 14 12 11 10 11 11 11 11 10 9 9 8 8 8 9 12 14 15 15 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 14 14 14 14 15 15 15 14 14 13 12 12 11 11 11 10 9 9 9 10 10 10 9 8 8 8 8 9 10 10 11 11 11 11 10 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
21 23 25 26 28 29 30 29 29 30 28 26 24 22 21 21 20 20 21 21 21 19 18 18 19 22 25 24 20 18 16 15 13 13 12 11 10 7 4 2 1 1 1 1 2 3 3 3 4 5 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 2 4 5 7 9 13
18 19 21 23 25 27 28 28 29 31 29 27 26 25 24 23 23 25 26 26 26 24 22 21 21 23 25 23 21 20 18 17 17 16 14 12 11 8 5 2 2 2 3 3 3 3 3 4 5 5 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 3 8 10 9 8 11 11
14 16 18 19 21 24 24 24 25 25 25 24 24 24 23 21 22 23 25 27 27 24 22 19 17 17 19 19 19 18 17 16 17 14 12 10 10 10 7 5 3 3 2 3 4 5 7 7 7 8 8 7 5 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 0 1 4 10 12 10 8 16 14
9 10 11 13 16 19 20 20 20 20 19 19 19 19 19 17 17 17 19 21 21 20 16 13 11 10 10 11 12 12 12 13 13 11 10 11 12 13 12 9 8 8 7 6 6 8 10 10 7 5 4 4 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 4 8 10 11 12 22 24
4 4 5 7 9 13 13 14 14 14 14 14 14 14 14 12 13 14 16 17 17 16 11 8 6 5 5 6 7 7 8 8 8 9 9 9 9 10 12 11 10 9 9 8 8 8 9 8 6 5 5 5 4 3 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 18 23 30 36
1 2 3 4 6 7 7 7 7 7 7 7 8 8 7 6 7 9 10 11 11 11 8 5 3 2 3 3 4 4 4 5 6 6 7 6 6 7 8 8 7 6 6 6 6 5 5 5 4 5 4 4 5 4 4 4 3 2 0 1 2 2 2 1 1 0 0 1 1 2 3 4 6 8 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 0 0 0 0 0 0 0 0 0 0 1 4 8 12 17 23 28 38
1 1 1 2 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 2 3 2 1 0 0 1 1 1 1 1 2 3 3 4 5 5 5 5 6 6 6 5 2 3 3 3 3 4 4 4 4 5 6 7 7 8 8 7 8 8 9 10 10 8 6 6 8 10 14 18 22 26 26 15 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 3 7 11 16 22 26 32
1 1 1 1 1 1 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 1 1 2 2 2 4 6 8 10 8 4 3 3 4 4 4 3 3 5 6 8 10 12 13 12 11 13 16 19 22 26 23 22 22 24 27 32 35 36 35 28 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 2 5 10 21 24 26 27
1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 3 6 9 13 8 4 3 4 4 5 4 4 6 7 10 12 14 16 15 17 21 24 27 30 33 30 28 27 25 26 27 24 18 13 8 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 2 9 32 25 23 27
1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 3 5 4 3 3 4 4 5 5 5 6 7 9 11 13 15 16 20 25 26 25 23 19 15 12 10 8 8 9 6 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 1 2 3 4 6 26 30 39 50
1 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 1 0 0 1 0 0 0 0 0 0 0 0 1 1 2 3 4 4 5 5 5 6 9 8 9 11 13 15 16 16 13 10 8 5 3 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 0 0 1 5 10 14 15 17 28 53 84
1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 4 6 7 7 8 10 12 12 10 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 2 7 15 21 22 19 21 34 56
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 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 1 0 0 0 1 3 4 6 7 8 9 8 9 7 6 3 1 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 2 6 12 17 19 18 19 23 27
1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 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 1 2 3 5 6 8 7 8 7 5 4 2 1 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 2 4 8 11 12 13 18 31 37
1 1 1 2 2 3 3 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 2 2 3 4 6 7 8 8 7 7 6 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 1 2 3 5 6 7 8 10 17 38 47
1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 2 4 5 5 3 3 3 4 5 6 7 8 9 9 9 9 9 8 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 1 3 6 8 8 8 7 8 19 33 40
1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 1 1 2 2 3 4 4 4 4 2 1 1 0 0 0 0 0 0 0 2 4 6 6 6 4 3 3 5 7 8 10 11 11 11 11 12 13 13 13 12 9 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 2 4 7 8 10 10 9 7 7 10 18 26
1 1 1 1 2 2 2 2 2 3 3 3 3 2 2 1 0 0 0 0 0 0 1 1 1 2 2 3 3 4 3 3 2 1 0 0 0 0 0 0 0 1 3 5 7 7 6 5 5 6 7 9 11 12 14 16 17 17 18 18 17 17 13 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 0 0 0 0 0 0 0 0 1 4 7 9 9 10 10 10 9 9 12 18 25
1 1 1 1 1 2 2 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 1 0 0 0 0 0 1 1 3 5 7 9 10 10 10 11 12 13 14 16 18 19 20 20 22 25 24 21 20 15 8 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 2 5 6 6 6 7 9 10 11 13 12 18 23
0 0 0 0 0 1 1 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 1 1 2 2 2 3 5 6 8 11 13 16 18 19 20 20 20 20 22 25 27 30 34 37 35 29 22 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 0 0 0 0 0 0 0 0 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 4 5 7 11 14 13 14 15
0 0 0 0 0 0 1 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 6 7 8 8 10 11 12 13 14 16 19 23 26 29 28 28 29 31 33 38 42 45 46 39 29 21 15 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 11 13 13 13 14
1 2 2 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 8 11 14 16 17 19 20 21 22 23 23 24 25 27 32 38 44 45 45 45 46 49 53 54 50 43 35 27 20 15 10 6 4 4 3 1 0 0 0 1 1 0 0 0 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 1 2 9 11 11 12 13
3 4 3 2 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 2 1 1 1 1 3 6 10 12 13 15 20 25 27 34 37 38 39 38 38 39 41 45 48 52 58 65 69 64 61 63 68 71 66 56 43 31 25 20 16 13 10 7 8 8 7 5 2 1 1 1 1 0 0 2 4 6 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 0 0 0 0 0 0 0 0 0 0 1 4 7 9 12 13
3 2 1 2 1 0 0 0 0 0 0 1 1 1 2 4 7 10 12 10 9 10 13 14 13 14 20 26 30 34 41 49 57 65 69 70 69 66 66 70 75 77 81 85 86 85 80 70 68 70 70 64 49 35 25 19 15 12 10 11 14 15 14 13 13 13 11 8 5 3 2 2 4 6 8 10 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 0 1 4 7 9 11 11
2 1 1 1 0 0 0 0 0 1 1 1 1 1 2 3 6 13 16 18 21 26 32 33 34 36 38 45 49 52 57 67 82 90 95 98 97 94 92 96 103 106 105 100 92 82 72 66 64 59 49 32 23 20 17 14 11 8 8 9 13 15 14 15 16 18 18 15 12 8 8 8 8 8 9 12 12 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 2 4 6 8 9 11
2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 8 10 15 22 31 39 43 46 49 52 55 56 56 60 70 79 84 89 94 98 94 92 94 99 103 99 85 69 58 54 48 41 33 25 20 18 16 14 11 8 6 4 4 6 7 10 12 15 19 17 15 12 11 10 10 11 11 12 13 14 13 10 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 1 2 4 6 7 10
1 1 0 0 0 0 0 0 0 1 1 2 1 1 2 3 4 5 6 8 14 21 29 33 36 39 42 43 42 44 50 59 65 68 68 68 69 77 81 82 77 68 57 42 35 36 32 25 19 16 13 12 11 9 7 5 3 4 3 2 1 2 4 8 12 18 15 12 10 9 9 9 10 11 12 14 16 16 14 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 1 3 4 6 10
1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 1 1 2 5 8 13 18 21 23 21 21 28 37 45 53 58 60 61 69 88 93 89 78 63 53 37 22 12 7 7 7 6 5 3 4 3 2 1 0 0 0 0 1 1 1 3 8 15 16 14 11 8 9 8 8 9 10 12 14 15 14 12 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 1 2 4 6 8
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 1 3 5 9 12 13 12 14 19 26 33 41 51 59 63 65 74 83 85 80 70 55 33 14 3 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 5 11 13 12 9 6 10 10 10 9 9 9 11 11 10 8 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 1 3 3 3
0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 3 7 11 14 15 15 17 19 21 25 30 43 52 56 56 59 58 55 51 45 28 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 5 6 10 12 11 10 9 7 6 6 5 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 1 1 2 2
1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 2 5 9 13 17 19 19 20 21 22 23 26 33 39 43 42 36 27 20 16 14 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 2 4 5 8 10 9 8 9 8 8 8 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2
1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 3 3 5 8 11 15 17 19 20 22 21 22 25 30 31 26 22 17 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 1 3 4 6 6 6 6 6 5 4 4 5 9 8 7 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 1 1 1
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