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 nan nan nan nan nan nan nan
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nan 10 8 4 -1 -5 -6 0 8 13 14 15 16 17 17 18 18 18 19 15 7 3 2 2 3 5 7 7 7 8 6 5 6 7 7 8 9 10 11 11 10 10 10 9 9 8 9 12 13 12 13 13 14 15 14 14 14 14 13 13 12 12 12 11 11 11 12 12 12 13 14 12 11 10 11 11 12 13 14 15 16 15 14 13 12 12 12 10 11 10 9 8 8 10 11 12 13 12 10 8 6 8 8 8 8 7 8 10 15 16 14 11 9 9 9 10 10 9 7 7 8 9 9 8 7 7 8 8 8 9 10 10 10 10 9 9 8 8 8 9 9 9 nan
nan 4 -0 -6 -8 -4 2 9 14 17 18 18 19 21 22 23 25 27 28 27 21 14 9 6 5 5 5 5 7 7 7 8 9 10 9 9 9 11 11 11 10 9 9 9 9 9 8 8 9 10 10 10 11 12 12 13 14 13 13 12 11 11 11 11 12 13 14 13 14 14 14 14 13 11 11 13 15 16 19 21 23 23 23 21 19 16 14 11 9 10 9 8 8 10 12 13 13 12 10 7 5 5 8 8 10 11 11 11 11 13 14 11 9 8 8 9 10 8 6 6 7 8 7 7 8 8 9 9 10 10 10 10 10 10 10 9 10 10 9 9 10 9 nan
nan -8 -10 -9 -2 7 13 16 18 19 20 22 24 26 29 32 34 36 38 37 33 27 24 20 16 13 11 9 9 11 11 12 13 12 12 11 11 11 11 10 10 9 8 8 7 7 8 8 8 9 10 10 11 11 10 10 11 10 10 9 10 10 11 11 12 12 13 15 15 15 14 14 16 16 16 18 19 19 21 24 26 27 26 25 25 23 19 15 11 10 11 10 9 10 12 13 13 11 11 9 5 4 7 10 13 13 11 11 10 13 14 10 8 7 7 8 9 8 7 7 9 10 8 9 11 9 9 9 11 12 10 10 10 10 10 10 10 11 11 11 10 10 nan
nan -3 1 7 13 17 20 22 24 25 27 29 30 32 34 35 34 32 31 31 29 29 28 26 23 21 17 14 14 15 14 14 15 14 13 13 12 12 11 10 9 9 8 5 5 6 8 8 8 9 10 10 10 10 10 11 9 9 9 9 10 10 11 11 11 12 12 13 15 16 17 17 19 19 19 20 19 16 17 19 21 24 25 25 26 25 23 18 13 11 11 12 11 12 13 14 12 11 11 10 8 7 7 7 11 13 11 10 10 13 14 11 7 6 7 8 9 8 6 7 9 11 10 10 9 9 9 10 12 12 11 9 10 10 10 10 11 12 12 12 11 10 nan
nan 16 18 19 20 23 27 30 32 31 31 29 28 25 23 21 18 17 17 20 22 24 25 26 25 23 21 18 16 16 15 14 14 14 13 13 12 12 12 10 10 9 8 7 7 7 8 9 9 9 9 8 8 8 9 9 8 8 9 9 10 10 9 10 11 11 11 11 13 14 16 17 18 18 19 19 14 10 9 11 12 14 17 20 23 24 24 21 17 13 11 11 11 12 13 14 12 11 10 9 10 10 10 10 9 10 10 10 11 11 10 10 9 8 7 6 8 9 9 8 7 9 11 11 11 10 10 11 12 11 10 9 10 10 10 10 11 12 13 12 12 11 nan
nan 26 23 24 28 31 32 28 23 20 16 15 14 12 11 10 9 10 13 16 19 23 27 29 28 26 23 18 16 15 14 13 13 13 12 12 12 11 11 10 10 10 9 9 8 8 8 9 9 9 8 6 4 4 5 5 6 7 7 8 9 9 10 11 11 11 11 11 12 12 13 14 15 16 17 17 12 7 7 8 8 8 10 14 18 23 24 23 21 18 14 12 11 12 14 13 12 10 9 11 11 11 11 12 12 10 10 10 9 10 9 10 10 9 6 7 6 6 10 9 7 8 11 11 11 11 10 11 11 11 10 10 9 10 9 10 10 9 11 12 12 11 nan
nan 22 21 25 25 21 15 10 8 9 11 15 16 15 15 15 14 14 16 19 21 22 25 27 27 25 22 18 15 13 13 12 11 11 11 10 10 9 9 8 9 9 10 9 9 9 9 9 9 9 8 7 4 3 3 3 4 6 6 7 7 6 9 11 11 12 12 11 11 12 11 12 14 16 17 15 10 7 6 9 10 9 9 10 14 18 21 22 22 22 20 17 15 13 12 11 9 8 9 11 12 12 13 13 12 8 10 12 11 11 11 12 11 9 8 10 11 11 9 6 5 6 8 10 13 14 13 12 11 9 9 9 8 9 10 9 10 10 10 11 11 11 nan
nan 15 16 18 16 12 9 11 16 21 24 25 24 22 20 20 20 18 18 18 18 18 17 18 19 19 18 16 15 13 12 11 10 11 11 10 10 9 9 9 9 10 11 10 9 9 10 9 10 10 10 10 8 6 4 4 5 6 6 5 6 5 7 9 11 13 11 11 11 12 13 12 13 13 15 12 8 4 6 9 10 9 9 10 12 15 17 19 21 22 22 21 18 15 11 9 6 6 9 10 11 12 13 12 10 9 12 15 14 12 11 12 12 10 9 8 6 5 10 11 9 10 11 11 13 14 13 12 11 10 9 9 8 8 8 9 9 10 10 10 10 11 nan
nan 14 16 17 19 20 23 25 26 24 22 20 19 18 18 18 17 16 15 16 16 15 15 14 13 13 14 14 15 13 12 10 11 13 13 12 12 11 10 10 11 12 12 12 11 10 10 10 11 11 13 12 10 9 7 6 6 7 7 7 6 8 8 8 10 11 10 10 9 10 12 12 12 11 10 7 5 2 6 10 10 10 10 12 13 13 13 15 17 20 21 20 19 15 12 11 9 8 9 10 7 8 12 11 9 12 16 17 15 12 10 10 10 10 10 6 2 0 6 12 14 16 16 13 11 11 11 11 11 10 10 8 8 8 8 8 9 10 10 10 11 11 nan
nan 17 17 18 19 19 20 21 19 16 14 13 13 13 13 13 13 14 15 15 15 14 14 15 13 11 11 13 14 14 14 15 15 14 14 15 14 12 12 13 13 13 13 12 11 11 10 10 11 11 12 12 12 12 11 9 8 8 9 9 9 9 7 6 9 10 10 9 9 8 10 11 12 12 9 6 3 3 6 12 15 14 13 13 13 12 11 12 14 17 19 19 18 18 17 15 14 13 12 12 11 9 11 11 9 12 15 14 12 12 12 11 10 10 11 8 4 2 4 8 12 15 16 14 11 11 11 11 10 8 9 10 8 8 9 9 9 10 10 11 11 11 nan
nan 18 15 15 14 13 12 12 12 12 11 11 12 12 12 11 12 13 13 13 14 15 16 16 14 12 11 13 14 15 17 16 16 15 14 14 14 14 14 13 13 13 13 12 11 11 10 9 10 10 11 12 14 15 15 13 10 8 8 9 11 9 6 7 7 8 10 10 9 9 10 11 12 13 12 11 8 7 8 12 14 13 12 12 11 10 10 10 12 14 16 17 18 19 19 19 19 19 18 17 17 16 14 9 6 10 12 12 11 11 11 12 12 11 9 7 6 5 5 6 8 12 15 15 13 12 12 12 9 7 8 8 8 9 9 10 10 9 9 10 11 12 nan
nan 15 13 12 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 13 13 15 16 16 15 15 15 15 14 14 14 14 13 13 13 12 12 12 12 13 14 13 13 13 12 11 10 10 10 10 10 11 14 16 16 15 13 10 7 6 7 8 7 7 7 8 9 8 9 10 10 11 12 12 12 11 10 11 13 10 8 9 10 10 10 8 8 9 11 14 14 15 14 15 17 18 18 18 19 21 22 22 17 9 6 7 9 10 10 10 10 11 13 12 10 9 8 6 3 5 9 13 14 14 14 13 12 11 7 5 6 7 7 8 9 10 9 8 9 10 11 12 nan
nan 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 15 17 18 16 13 12 13 12 11 11 11 12 11 10 9 11 13 13 14 14 14 12 10 10 10 9 9 8 10 12 12 13 13 13 9 7 7 7 7 6 7 9 9 9 9 10 11 12 11 11 10 9 9 9 11 10 9 9 10 10 9 8 7 9 13 13 12 11 9 9 10 11 11 12 11 14 19 23 21 16 13 11 10 11 12 12 10 10 12 14 12 10 10 8 5 6 11 13 13 13 14 14 13 10 7 6 7 8 8 7 7 8 9 9 9 10 12 13 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 13 13 14 16 17 16 14 13 13 12 12 11 11 12 11 10 9 10 11 13 14 14 15 14 12 11 10 9 8 6 7 7 8 8 11 11 10 10 10 9 7 5 6 9 11 13 13 12 13 13 12 11 11 10 8 8 10 10 11 11 11 9 8 7 7 9 10 8 6 7 7 6 7 7 8 10 9 8 11 16 15 13 16 22 22 15 14 13 11 10 13 15 13 13 11 9 8 8 10 12 12 12 13 12 10 9 9 10 10 11 11 10 8 8 9 9 9 11 13 14 nan
nan 11 11 11 11 11 11 11 10 11 11 10 11 10 10 10 11 11 11 11 11 12 13 13 13 14 15 15 15 14 14 13 12 12 12 11 11 11 11 11 12 13 13 15 16 16 15 14 12 12 11 9 9 9 8 9 10 10 10 10 10 11 9 5 3 6 12 15 16 14 12 12 12 12 12 12 10 9 11 13 12 11 10 9 8 7 8 9 7 5 5 7 7 7 9 9 9 10 10 8 8 8 7 2 5 16 25 26 19 13 11 9 12 15 14 13 13 12 10 10 9 10 11 11 11 9 9 10 11 11 11 13 14 13 11 9 10 9 10 12 13 13 nan
nan 11 11 12 11 11 11 11 10 11 11 10 11 11 10 10 10 11 11 11 11 12 13 13 14 14 15 15 14 15 14 14 13 12 12 11 11 11 11 12 12 13 14 15 18 19 19 17 16 15 14 12 11 11 10 10 11 12 12 12 11 12 11 8 4 4 8 14 15 12 11 12 12 13 13 13 12 10 11 13 12 11 10 9 9 8 9 10 7 6 9 9 8 8 10 10 10 10 10 9 8 7 6 3 1 4 10 25 28 17 13 10 10 11 10 10 12 14 13 12 12 11 11 11 11 10 10 9 9 10 11 11 12 11 10 9 8 9 12 13 12 12 nan
nan 11 11 12 12 11 11 11 10 10 10 10 11 11 10 11 11 11 11 11 12 12 12 12 14 14 14 14 14 15 15 14 13 13 12 12 12 11 12 12 12 13 14 15 16 18 20 19 19 17 15 13 11 11 10 9 11 11 11 12 12 12 13 13 10 7 7 11 12 11 11 11 12 13 14 14 12 11 11 11 10 11 11 10 7 5 8 9 9 9 10 10 10 10 10 9 10 11 9 8 8 8 8 6 6 4 -0 15 30 26 20 13 8 9 10 10 11 13 13 13 12 12 11 11 11 11 10 8 7 8 9 10 11 10 10 9 9 10 11 11 10 10 nan
nan 11 11 11 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 14 14 14 14 14 14 14 12 11 11 12 12 12 13 14 14 13 12 12 13 14 16 17 18 17 15 14 11 10 9 10 10 10 10 10 10 10 14 14 12 10 10 11 12 11 12 11 12 14 14 13 11 11 10 9 11 13 10 6 5 7 8 9 12 12 11 10 10 10 11 11 10 8 9 8 8 7 7 6 6 3 6 17 24 26 21 12 10 11 12 12 11 11 11 11 11 10 9 9 9 10 9 9 9 10 10 10 9 10 10 10 11 12 10 9 8 nan
nan 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 14 15 15 15 15 14 14 13 12 12 13 13 13 14 14 13 12 9 8 7 8 9 12 15 17 18 18 15 11 11 11 10 10 10 10 9 7 8 12 11 11 11 13 15 13 12 11 10 11 13 14 13 12 10 9 9 11 11 10 9 8 7 11 16 14 12 10 10 11 12 12 10 9 9 8 8 7 7 6 5 6 3 1 8 21 27 21 15 14 13 12 11 11 11 10 10 9 9 9 8 9 10 10 10 11 11 10 9 10 10 11 11 11 10 10 8 nan
nan 11 11 11 11 11 11 11 10 10 10 11 12 12 11 11 11 12 12 12 12 12 12 12 14 14 14 15 15 15 15 15 15 16 16 15 15 14 13 13 13 11 11 10 9 7 6 7 8 10 12 15 18 17 14 13 12 11 10 10 10 10 10 7 6 7 9 10 12 16 16 13 13 12 11 11 12 13 13 10 8 8 9 12 14 13 11 9 12 13 13 13 11 10 11 11 10 9 10 9 8 8 8 6 6 8 8 7 -0 -4 5 14 22 24 21 16 11 11 12 10 9 9 10 9 8 8 8 10 11 11 11 10 10 10 10 11 11 11 10 9 9 8 nan
nan 11 10 10 11 11 10 10 10 10 11 11 12 12 11 12 12 11 11 12 11 11 12 13 14 14 14 15 16 17 18 18 17 16 16 16 16 15 14 13 12 12 11 10 10 10 9 8 8 9 10 11 14 16 16 16 14 12 10 10 10 11 11 10 8 5 7 10 11 13 15 13 12 14 14 12 11 12 12 10 8 9 10 13 15 14 12 10 9 8 10 14 14 12 10 9 9 10 11 9 8 8 7 6 7 9 7 6 3 -1 -3 -1 13 26 25 19 13 13 12 10 8 9 10 9 8 8 10 11 11 12 11 10 10 10 9 10 11 11 10 10 9 8 nan
nan 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 14 15 18 19 20 19 18 17 15 16 15 14 13 13 13 12 12 11 11 11 11 11 10 11 11 11 12 14 16 17 16 12 10 9 8 9 10 10 10 7 6 9 12 13 11 10 10 13 15 13 12 13 11 10 10 11 12 12 11 11 10 10 9 7 8 12 13 12 11 10 12 13 12 9 8 8 8 8 7 7 4 3 4 6 5 0 7 19 24 22 17 14 12 10 9 9 9 8 8 10 12 12 12 11 9 9 10 11 11 11 11 9 9 9 9 8 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 15 17 20 21 20 19 18 16 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 14 16 18 17 15 13 11 9 8 8 9 9 9 7 8 10 11 10 9 9 11 13 13 12 12 12 11 14 15 12 9 8 9 10 9 7 6 7 8 10 11 12 14 15 17 15 13 11 10 10 10 8 7 6 6 5 8 8 6 8 12 18 20 20 17 14 13 11 9 9 9 10 11 12 12 12 12 10 9 10 11 12 11 10 9 9 9 10 11 nan
nan 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 11 11 12 11 11 12 12 12 12 13 14 14 16 19 22 22 20 17 14 13 12 12 11 11 11 10 11 11 11 12 12 12 12 11 11 12 12 13 15 17 18 18 17 13 12 10 9 9 9 9 8 7 9 11 11 11 11 11 12 12 12 10 10 11 15 16 13 8 6 8 8 8 7 8 8 8 10 12 14 15 16 18 17 16 15 13 12 11 10 11 13 13 9 6 5 7 7 7 11 16 21 22 18 15 11 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 13 nan
nan 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 14 16 20 22 22 21 17 14 13 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 13 14 15 17 18 18 15 13 12 11 11 11 11 10 9 10 11 12 12 11 10 11 13 12 10 10 12 14 16 15 10 7 8 8 8 10 11 11 11 12 14 14 14 14 13 14 13 12 12 12 12 13 14 15 14 12 10 8 7 5 4 6 9 15 21 23 21 15 11 11 11 11 11 11 11 11 11 11 12 11 11 11 12 12 13 13 12 10 12 nan
nan 12 11 12 12 11 11 12 11 11 10 11 11 11 11 11 11 12 12 12 12 11 12 12 12 13 14 14 16 19 22 23 21 17 14 13 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 13 14 15 17 17 15 14 13 12 11 12 12 12 11 12 12 13 12 10 9 10 12 12 11 11 13 15 15 13 10 9 8 8 8 9 11 12 13 14 15 15 14 13 10 9 10 10 11 11 12 13 13 13 11 10 11 11 9 8 7 6 5 8 15 23 26 22 17 14 12 12 12 10 11 12 11 11 11 11 9 9 10 10 11 11 11 10 12 nan
nan 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 11 12 13 12 12 12 12 13 14 14 14 16 19 22 22 21 17 15 13 12 12 12 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 15 16 16 15 13 11 10 11 12 12 11 11 14 15 13 11 10 9 9 9 11 13 13 14 13 10 9 9 9 9 9 9 11 12 11 11 13 14 14 13 12 11 12 12 13 13 12 11 10 9 9 10 11 11 11 10 10 9 6 4 8 16 22 24 22 20 18 17 16 14 14 14 12 10 10 10 10 10 9 10 9 8 8 9 10 nan
nan 11 11 10 11 12 11 11 11 11 10 11 11 11 12 12 12 11 12 12 12 13 13 13 13 14 14 14 16 20 22 23 21 18 16 13 13 13 12 12 11 11 10 10 11 12 12 11 11 11 12 12 12 13 12 13 13 15 16 16 15 13 12 12 11 11 9 8 9 12 15 15 15 14 11 8 6 10 14 12 12 11 10 9 9 8 9 11 12 12 10 9 9 8 8 10 12 12 14 14 13 13 13 11 10 9 10 8 8 8 9 9 9 10 11 8 4 4 10 16 20 23 24 24 24 24 22 19 18 14 10 10 9 10 10 9 9 9 9 8 7 9 nan
nan 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 11 12 12 12 13 13 13 13 13 13 13 15 17 20 23 25 22 17 14 13 12 11 11 11 11 10 10 9 10 10 11 11 11 11 12 12 12 12 12 12 13 14 15 16 16 15 14 13 13 12 11 9 8 9 11 12 15 17 14 10 8 9 11 10 11 11 11 12 11 10 11 12 12 10 7 7 9 7 4 5 9 11 11 11 12 12 11 11 10 10 12 9 8 7 7 9 10 10 10 10 8 6 7 11 15 20 22 22 22 27 30 26 22 18 14 10 9 9 9 10 8 10 11 11 11 9 nan
nan 11 11 11 11 11 11 11 11 11 11 12 11 11 12 11 12 12 12 13 13 13 13 13 13 12 13 15 17 20 23 24 22 17 13 11 11 11 11 10 10 10 10 9 9 9 10 11 11 11 12 12 12 12 12 12 13 14 14 15 15 15 15 15 14 13 12 10 10 10 10 9 10 13 13 11 10 11 11 8 9 13 13 13 13 13 13 13 11 6 6 9 10 9 8 8 9 9 10 11 13 13 12 13 12 14 14 12 10 9 9 8 9 10 11 12 11 10 8 7 8 12 16 17 17 20 24 24 22 21 21 18 14 12 11 10 9 9 13 13 11 8 nan
nan 12 11 11 11 11 11 10 11 11 12 12 11 12 12 12 12 12 12 13 13 13 12 12 12 12 14 16 17 20 23 23 21 17 13 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 12 11 12 11 11 13 14 14 14 15 15 15 14 14 12 11 10 10 10 11 11 10 9 10 10 10 11 13 12 10 12 13 13 14 15 15 14 9 8 9 11 12 12 11 11 11 10 11 12 12 14 13 13 13 15 13 10 10 9 9 9 11 12 12 11 10 11 10 8 5 5 8 10 10 11 13 14 15 16 19 22 22 20 18 15 13 11 11 11 10 9 nan
nan 11 12 11 10 11 11 11 11 11 11 11 12 11 11 12 12 12 12 13 13 13 12 12 12 13 15 16 17 19 22 23 21 18 14 12 11 11 11 11 10 10 9 9 9 9 10 11 11 12 12 12 11 11 12 12 13 14 13 14 14 15 14 13 12 12 11 9 10 11 11 12 12 11 10 11 11 10 11 14 14 15 14 13 14 14 14 12 11 11 11 12 12 10 9 10 10 11 13 11 11 12 14 16 16 15 11 9 10 10 10 11 11 11 12 11 9 7 7 6 5 5 5 5 4 4 5 6 7 9 13 17 19 20 21 20 17 16 15 16 15 15 nan
nan 11 12 12 11 11 11 11 10 10 11 12 12 12 12 12 12 12 12 12 13 13 12 13 13 14 15 15 16 18 21 23 22 18 14 13 12 11 10 9 10 10 9 9 9 9 10 11 12 12 12 12 11 12 13 14 15 14 13 13 14 14 14 13 12 11 10 10 10 11 12 13 14 12 9 10 12 13 12 14 14 14 13 13 13 13 11 10 10 10 11 11 11 10 9 9 10 11 12 11 11 13 16 17 16 12 10 10 12 12 11 12 11 11 10 8 6 4 5 6 7 7 7 5 4 2 1 1 1 2 6 10 13 17 20 22 20 18 19 20 21 22 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
33 33 30 27 26 23 18 13 8 8 12 17 19 20 21 24 30 37 42 40 33 22 12 8 7 4 2 0 0 1 1 1 0 1 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 1 1 1 0 0 0 0 2 5 7 8 10 11 12 14 18 25 31 35 38 42 44 46 48 51 53 54 52 48 44 41 38 34 31 28 27 27
28 30 31 32 31 28 23 17 11 10 16 21 23 23 22 25 32 39 43 42 35 23 12 7 5 4 2 0 0 1 2 2 1 2 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 1 2 3 3 3 4 6 9 13 18 22 28 35 42 47 52 54 56 58 60 59 57 54 50 46 40 36 33 31 31
18 23 28 30 31 29 27 22 15 15 21 26 28 28 28 30 34 37 38 36 30 22 14 9 6 4 4 0 0 2 3 3 3 5 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 1 2 4 8 12 16 21 29 38 46 53 57 58 62 65 66 66 64 61 55 48 42 37 34 32
11 15 21 26 28 29 29 27 22 22 27 32 35 36 36 38 39 37 31 25 20 17 14 13 11 8 6 2 1 1 3 4 4 6 9 7 4 2 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 0 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 9 13 20 29 40 50 56 59 64 68 71 73 72 69 64 58 50 43 38 34
8 13 19 24 28 31 32 31 29 30 34 39 42 42 43 46 47 42 30 16 12 13 16 18 18 16 11 5 1 0 1 2 4 7 10 9 6 3 1 0 2 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 1 2 3 6 11 17 26 39 48 55 61 66 69 72 73 72 69 64 56 50 45 40
5 12 19 25 30 34 37 39 39 39 41 45 47 46 47 49 50 44 30 16 12 14 18 22 25 25 20 11 4 0 0 0 5 8 10 11 8 5 2 3 4 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 22 32 42 50 56 59 63 67 69 68 65 60 56 52 48
4 10 17 24 30 36 42 43 42 42 42 44 43 43 45 47 46 41 29 20 16 16 18 24 31 34 29 19 8 2 0 0 5 8 10 9 9 5 5 6 8 9 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 1 1 4 8 13 20 27 34 40 46 54 60 62 62 60 58 57 55
4 10 16 23 31 39 44 45 44 42 39 37 36 36 38 41 42 37 29 24 21 20 22 30 39 44 39 29 16 5 1 2 5 6 7 8 8 4 4 6 8 10 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 0 0 0 0 0 0 0 0 0 0 0 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 13 21 30 39 46 51 55 58 60 58
5 9 15 23 31 39 42 41 38 34 31 29 27 28 31 36 37 34 29 25 24 25 29 38 48 53 50 40 27 13 6 5 10 12 11 16 13 9 5 5 7 10 10 10 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 0 0 0 0 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 14 21 31 41 50 55 55
5 6 11 17 25 31 33 32 30 26 24 22 20 21 27 32 32 31 29 28 28 31 36 43 51 55 55 50 39 26 17 13 16 23 24 25 23 18 13 8 10 15 16 16 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 0 0 0 0 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 9 19 29 37 42
4 4 6 9 13 16 18 19 19 17 17 16 15 17 22 27 28 28 28 29 31 33 38 43 48 50 51 51 45 36 28 23 22 26 29 28 25 23 23 19 26 29 28 24 15 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 0 0 0 0 0 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 16 20
4 4 4 4 6 5 4 6 7 8 9 11 12 13 16 22 24 26 27 29 30 30 35 40 43 44 45 46 45 40 35 28 24 22 27 28 24 22 25 25 36 42 40 33 25 15 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 0 0 0 0 2 3 6
5 5 4 4 4 2 1 0 1 2 5 9 11 10 11 16 20 24 27 27 27 28 30 33 37 40 40 41 43 42 39 33 28 24 24 27 28 25 22 27 39 48 49 43 34 24 9 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 1
5 4 2 2 2 1 0 0 0 1 4 10 13 12 12 15 18 22 25 26 27 26 25 26 30 36 37 37 40 42 41 36 32 29 28 31 35 36 32 35 44 52 54 46 35 26 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 1 1 0 0 0 0 0 5 12 16 16 18 19 21 22 24 27 28 26 22 20 23 31 32 32 34 37 38 37 35 34 37 41 46 48 45 44 50 56 54 45 33 25 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 0 0 0 0 0 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 1 7 14 20 22 25 27 27 26 26 30 29 26 23 20 21 26 27 26 27 30 33 34 36 40 47 56 60 62 61 60 59 57 52 45 36 27 20 14 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 0 0 0 0
1 1 0 0 0 0 0 0 1 4 12 21 28 31 33 35 36 35 33 34 32 29 28 28 27 26 24 22 22 24 28 32 38 46 56 69 75 76 76 72 64 55 47 42 37 30 21 18 12 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 0 0 0 0 0 0 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 1 0 0 0 0 1 4 10 18 30 38 40 42 43 44 44 45 43 40 38 38 39 37 33 29 26 25 27 27 31 38 48 61 75 84 88 87 80 69 56 45 39 35 31 22 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 0 0 0 0 0 0 0 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 4 3 2 2 1 2 4 9 15 23 36 44 49 51 53 54 54 56 55 53 51 50 48 46 42 38 34 32 30 28 31 38 49 63 76 86 90 90 83 66 56 46 37 32 27 20 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 5 5 5 6 8 13 20 27 37 47 56 61 64 65 64 65 66 65 63 59 53 48 44 40 35 30 25 22 23 31 44 59 71 78 82 81 71 62 54 45 37 29 22 18 11 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 0 0 0 0 0 0 0 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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3 4 4 4 3 2 2 1 1 1 1 1 2 2 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 7 7 6 6 6 9 14 20 25 27 27 26 24 21 18 12 6 2 1 2 3 4 7 12 21 32 39 33 24 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 0 0 0 0 0 0 0 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 4 4 4 3 2 1 1 0 1 1 1 1 2 5 6 4 4 3 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 6 9 13 18 22 24 24 22 20 14 8 4 1 1 2 3 3 3 4 11 20 26 27 22 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 3 2 1 1 0 1 1 1 3 4 6 6 5 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 2 2 5 6 9 14 17 20 21 19 16 11 7 4 2 2 3 3 3 3 3 5 8 11 14 15 12 8 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
2 2 3 2 2 2 2 2 2 2 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 2 2 5 8 12 11 14 17 15 12 9 7 5 4 3 3 2 2 3 3 4 4 4 5 6 7 7 6 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 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 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 6 8 10 11 11 11 12 13 9 7 5 5 5 3 2 2 2 2 3 3 3 3 3 3 4 4 5 5 6 6 3 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 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 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 8 10 10 10 10 11 12 11 10 7 3 4 4 4 3 2 1 2 2 3 3 3 3 3 3 3 3 3 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 6 7 9 8 9 10 11 11 12 13 10 5 6 6 5 3 2 2 2 3 3 4 4 4 3 3 3 3 2 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 6 7 9 9 10 11 12 13 14 12 8 8 7 6 3 2 2 2 3 4 4 4 4 4 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 5 5 5 6 9 9 9 11 14 16 15 12 7 8 7 4 2 2 2 3 3 4 4 4 4 3 4 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 4 8 9 9 13 17 18 16 13 6 3 3 2 2 2 3 3 3 3 3 3 4 4 4 5 4 2 1 2 3 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
2 2 2 1 1 1 2 2 2 2 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 5 6 5 4 4 3 4 6 8 11 14 13 11 9 9 5 2 1 1 2 3 3 4 2 2 2 3 3 4 5 5 3 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 5 7 10 13 14 13 10 7 4 2 1 0 0 2 3 4 4 3 3 3 3 3 4 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0