Vorticity
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nan 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 2 2 2 3 4 5 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 6 6 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 5 6 5 5 4 4 4 5 6 7 7 7 7 7 7 7 7 6 6 5 4 4 4 5 6 6 7 6 5 5 4 4 4 5 6 6 6 5 5 4 4 3 3 3 3 3 2 3 4 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 4 4 7 14 22 26 24 20 15 11 8 7 7 7 5 1 -0 1 3 4 5 6 4 1 1 2 2 1 1 1 1 1 2 2 2 3 5 7 6 4 1 1 4 8 8 6 3 1 1 1 2 2 2 1 2 3 5 9 12 12 12 13 13 12 10 9 8 7 4 1 2 4 5 3 2 3 4 5 7 10 16 26 37 42 35 22 10 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 3 6 10 16 17 11 6 5 5 5 5 5 6 5 4 4 4 5 6 6 6 7 7 6 5 5 4 4 4 5 4 3 4 5 4 4 4 5 4 3 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 2 3 4 6 12 18 22 22 21 17 14 11 8 6 4 3 4 5 5 6 6 8 9 8 6 5 5 6 5 3 1 -1 -2 -4 -8 -9 -4 3 6 7 8 9 9 9 10 10 10 10 11 13 12 8 5 3 2 3 5 7 7 7 6 6 8 8 8 7 6 5 5 4 4 4 4 3 2 3 3 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 5 4 3 3 3 3 3 3 3 4 nan
nan 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 5 4 3 3 3 3 2 2 2 3 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 7 7 7 7 6 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 5 6 5 5 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 3 3 3 3 4 4 5 8 16 22 21 17 15 13 10 7 6 7 7 6 3 2 2 3 4 5 6 3 1 3 4 4 3 2 3 4 4 3 3 2 2 4 6 7 4 1 -1 2 6 8 7 5 4 4 3 2 1 -0 1 3 4 6 10 12 12 11 11 10 8 7 6 6 5 3 2 4 5 5 3 3 5 7 9 11 15 23 34 41 37 24 13 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 2 2 3 2 2 2 2 3 4 7 12 16 16 11 6 6 5 5 5 5 5 5 4 4 5 5 6 6 6 7 6 5 4 4 3 4 4 4 2 2 5 5 4 3 5 5 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 2 2 1 1 1 1 1 1 2 3 5 9 15 18 19 17 13 12 11 11 10 9 8 8 9 9 8 7 8 9 9 8 7 6 5 6 6 5 6 7 5 1 0 2 5 6 7 8 7 7 7 7 7 7 7 8 8 6 3 2 2 2 3 5 6 6 6 6 6 6 5 4 4 4 4 4 4 3 3 2 2 2 3 4 5 5 5 4 3 3 3 3 3 3 3 4 4 4 3 2 2 3 3 3 3 4 4 3 3 2 2 2 3 4 4 4 3 3 3 3 3 3 3 4 nan
nan 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 2 3 3 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 6 5 5 4 4 3 3 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 6 5 5 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 8 16 20 17 13 11 11 10 8 8 8 7 6 4 4 4 4 3 4 3 1 -0 2 5 6 4 3 5 6 6 5 3 2 3 3 4 4 3 -0 -3 -1 4 7 7 6 5 6 5 2 0 -0 1 3 6 8 10 12 11 9 8 7 5 3 3 3 3 3 3 5 6 6 4 4 6 8 10 14 20 30 37 36 26 14 7 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 1 1 1 2 2 2 3 3 3 2 2 2 3 5 8 13 18 17 10 6 7 6 5 5 5 5 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 5 4 3 4 7 7 5 5 6 6 5 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 2 2 1 1 0 0 0 0 1 1 2 4 7 11 14 13 10 9 9 10 10 10 10 10 11 11 9 6 5 7 9 9 7 5 4 6 8 9 10 12 11 7 3 3 4 5 6 7 7 7 7 7 7 7 7 6 6 5 4 3 2 3 4 5 6 6 6 7 6 5 4 4 4 4 4 4 4 3 2 1 1 1 2 3 4 5 4 3 2 1 1 2 2 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 2 2 3 3 4 4 4 3 3 3 3 3 3 4 nan
nan 6 6 6 6 7 6 6 5 5 5 5 5 5 5 6 6 6 7 7 6 6 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 6 5 4 4 3 2 1 0 1 1 2 2 3 3 3 3 4 4 3 4 4 4 5 5 5 5 5 6 6 5 4 4 3 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 7 13 17 16 11 8 8 9 8 8 7 5 4 3 3 4 4 5 3 1 -1 -1 1 4 5 4 3 4 6 6 5 4 3 3 2 0 -1 0 -0 -2 -2 2 6 7 6 5 5 4 2 1 1 2 5 7 9 10 11 10 7 6 5 3 1 1 1 2 3 4 6 8 7 6 5 6 9 12 19 27 34 33 25 15 8 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 3 3 3 2 2 2 4 6 9 14 20 19 11 6 7 6 5 4 5 5 4 4 5 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 7 9 10 10 10 9 5 3 3 3 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 1 1 0 0 0 -0 -1 -1 -1 -0 2 4 6 9 9 7 7 7 8 7 8 9 10 10 11 10 7 6 7 9 9 9 8 8 10 13 14 13 11 8 5 3 2 2 3 5 6 7 7 7 7 7 7 7 6 5 5 4 3 3 4 5 6 6 6 6 6 6 5 4 4 4 4 5 5 4 3 1 1 1 1 2 3 4 5 6 5 2 -0 -0 1 2 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 2 2 2 2 3 4 4 4 3 3 3 3 3 4 4 nan
nan 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 3 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 5 6 5 5 4 4 5 4 4 5 5 5 5 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 4 3 1 0 -0 0 1 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 3 2 2 1 1 1 2 3 3 3 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 6 8 12 13 12 8 6 5 5 5 4 3 2 3 3 3 5 6 5 2 1 1 2 3 4 5 4 5 5 5 5 4 4 4 3 1 -1 2 4 3 2 2 4 5 5 4 3 2 1 1 3 6 8 8 7 7 8 6 5 4 4 3 2 2 1 2 3 5 7 8 8 7 6 7 9 14 23 31 31 24 15 8 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 3 3 3 2 2 2 4 6 9 14 21 22 13 6 6 6 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 5 6 6 7 8 12 14 14 10 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 3 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 1 0 0 -0 -0 -2 -3 -4 -4 -2 0 3 5 5 5 6 7 7 7 7 8 9 9 10 11 11 12 13 14 15 14 14 16 17 17 15 12 9 7 5 3 1 0 1 3 5 6 7 7 7 7 7 7 6 6 5 3 2 3 4 5 6 6 6 6 6 5 5 4 4 4 5 5 5 5 4 2 2 2 3 4 4 6 9 11 11 6 1 -1 0 2 4 5 4 3 2 3 4 4 4 4 3 4 4 4 4 3 3 2 2 2 3 3 4 4 4 3 3 3 4 4 4 nan
nan 6 7 8 8 8 7 7 6 6 5 5 5 6 6 7 7 7 7 7 6 6 5 5 5 5 4 4 4 4 4 4 4 3 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 6 5 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 4 5 5 5 5 5 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 4 3 1 1 0 1 1 2 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 3 3 2 1 1 1 1 2 2 3 3 4 4 4 4 3 3 4 4 4 5 5 5 6 6 6 5 6 8 12 14 10 6 4 2 1 1 2 3 3 3 3 5 5 5 3 3 5 6 5 5 5 6 6 6 6 6 7 7 7 7 6 8 9 10 11 9 5 3 4 4 3 3 2 2 3 6 9 10 9 6 4 3 3 3 3 4 4 4 3 1 2 5 6 7 7 7 7 7 7 10 16 25 28 23 14 8 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 3 3 3 2 2 2 3 5 8 14 21 23 16 7 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 5 6 7 7 7 8 11 11 8 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 2 1 -0 -1 -1 -1 -2 -4 -5 -3 -1 1 4 5 4 5 6 7 7 7 7 8 8 9 10 13 17 20 22 23 22 21 20 18 14 11 9 9 8 7 5 2 0 0 1 3 5 6 7 7 6 6 6 6 6 5 4 3 3 4 4 5 5 6 6 6 5 4 4 4 5 5 6 6 5 4 4 4 4 4 5 7 10 13 17 17 12 5 2 2 3 4 4 4 2 2 3 4 5 5 4 4 4 5 4 4 3 3 2 2 2 2 3 4 4 4 3 3 3 4 4 4 nan
nan 5 6 7 8 8 8 7 7 6 6 5 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 3 3 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 6 5 5 4 4 4 4 3 3 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 3 3 3 4 4 4 4 4 5 6 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 5 5 5 5 5 6 6 7 7 7 7 6 6 4 3 2 2 1 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 3 3 2 1 1 1 1 2 2 3 4 4 4 4 4 3 3 4 4 4 5 5 5 6 6 6 5 5 7 12 15 12 8 5 2 -0 0 3 3 2 1 3 4 5 4 4 5 7 8 8 7 6 6 5 5 6 7 8 10 11 11 13 15 14 13 14 13 8 3 2 4 4 4 3 3 5 9 11 10 8 6 3 2 1 2 4 5 6 5 3 2 3 6 7 6 6 6 7 7 8 12 20 27 24 15 8 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 3 3 3 2 2 2 3 5 7 12 19 23 19 11 6 5 5 5 5 6 5 5 6 6 6 6 5 5 5 6 6 6 5 5 5 5 6 6 7 7 6 5 6 6 5 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 3 2 0 -2 -2 1 1 -0 -1 -0 1 3 5 6 5 5 6 6 6 6 7 8 8 9 9 10 14 19 22 22 22 20 16 12 9 8 8 9 10 8 6 4 2 0 -2 -2 -0 2 4 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 4 4 4 5 5 5 5 5 4 5 4 4 4 5 7 11 14 16 15 11 8 5 4 4 4 4 3 2 2 3 4 5 5 4 4 5 4 4 4 3 3 2 2 2 2 3 4 4 4 3 3 3 3 4 4 nan
nan 4 5 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 2 2 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 6 6 5 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 5 5 4 4 3 3 2 2 2 1 1 2 2 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 7 10 13 13 11 8 5 2 2 4 2 0 1 2 4 5 5 6 7 8 9 8 7 6 5 4 5 5 6 7 8 9 10 12 14 14 11 10 8 6 3 3 5 6 6 5 5 7 9 9 8 7 7 5 2 1 3 5 6 5 3 2 3 5 7 7 6 4 5 6 7 10 16 25 27 19 10 6 5 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 4 6 9 16 22 22 17 11 8 6 5 6 8 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 5 5 3 1 0 3 4 3 2 2 4 5 6 6 6 5 5 5 5 5 6 8 10 11 9 7 6 10 13 13 12 11 9 8 7 7 8 10 10 10 9 8 6 3 -1 -5 -6 -4 -1 2 6 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 7 9 10 9 7 6 5 4 4 4 3 3 3 4 5 6 6 5 5 5 4 4 4 4 4 3 3 2 2 2 3 4 4 4 3 3 3 4 4 4 nan
nan 4 5 6 7 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 5 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 3 3 3 3 2 2 2 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 8 11 12 11 10 7 6 5 4 2 2 3 4 5 6 7 8 9 9 9 7 6 6 5 5 4 4 4 5 5 5 4 7 10 11 8 5 4 4 4 6 8 9 8 7 6 7 8 7 6 6 6 4 2 2 4 6 5 3 1 2 6 9 10 8 5 4 4 5 7 11 20 28 23 12 6 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 2 2 2 2 3 4 6 10 18 23 23 19 14 10 8 9 9 9 7 6 6 5 4 5 6 7 7 7 7 7 7 7 7 7 6 5 5 5 6 7 6 3 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 4 3 3 3 2 2 2 3 3 3 4 7 7 5 4 4 5 4 3 3 4 5 5 6 5 5 5 5 5 5 6 8 12 16 16 10 6 5 5 6 5 6 6 6 7 7 8 9 10 11 10 10 11 9 6 2 -1 -2 -2 -1 2 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 6 8 9 8 6 5 5 5 4 4 4 4 4 3 3 2 2 2 3 3 4 4 3 3 3 4 3 3 nan
nan 4 6 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 7 7 7 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 7 6 5 5 5 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 3 3 2 2 2 2 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 8 10 12 12 9 7 7 7 6 5 6 6 6 7 7 7 8 10 10 10 8 7 6 6 5 3 3 3 3 3 2 2 3 7 9 8 4 3 5 7 9 10 11 10 9 8 8 8 6 4 4 4 3 1 2 5 5 3 1 1 4 10 13 12 9 5 4 4 5 7 13 23 26 17 8 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 2 2 2 3 3 3 3 3 2 2 2 2 2 3 4 6 11 17 21 23 22 19 16 16 15 13 11 9 7 5 4 4 5 7 8 8 8 8 7 6 6 6 6 5 5 6 9 11 8 4 1 1 1 1 1 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 2 2 2 1 1 1 1 1 1 2 2 3 3 3 3 4 4 4 4 4 3 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 4 3 2 2 2 2 2 2 3 3 4 5 6 6 5 4 5 5 5 5 5 4 5 5 5 5 6 7 8 10 9 9 12 17 20 16 11 6 4 4 4 4 5 6 6 7 7 8 9 9 10 11 13 15 16 15 12 8 4 1 1 3 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 7 9 11 11 9 6 6 6 5 4 4 4 5 4 4 3 2 2 2 3 3 4 3 3 3 3 3 3 3 nan
nan 5 6 7 7 8 8 8 8 7 6 5 5 5 5 6 6 7 7 7 7 6 5 4 4 3 3 3 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 5 5 6 6 6 5 4 4 4 4 4 4 3 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 8 9 11 13 12 8 6 6 7 7 7 8 8 9 10 8 6 6 8 10 10 10 9 7 6 4 2 1 1 1 -0 -1 0 2 5 8 8 6 5 6 7 10 11 11 11 10 9 7 5 4 4 5 5 3 1 3 6 5 2 1 2 7 13 15 13 8 5 5 6 6 7 14 23 23 13 6 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 2 2 2 3 3 3 3 3 3 2 2 2 2 2 3 4 6 9 14 19 22 23 23 23 23 22 20 16 13 9 7 5 5 5 7 8 10 11 8 5 5 5 5 5 6 8 12 14 11 5 1 -0 0 1 1 2 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 2 1 -1 -2 -2 -0 2 3 4 4 4 4 5 5 4 4 3 2 2 1 2 3 3 4 4 4 5 5 5 5 4 3 2 1 0 0 0 1 2 3 4 5 4 5 5 5 5 5 5 5 6 6 5 5 5 6 7 9 12 15 17 16 14 11 12 14 14 11 7 5 4 4 4 4 5 6 6 6 7 7 8 9 10 12 15 17 17 17 15 11 6 4 4 4 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 8 10 11 11 10 8 6 6 6 6 5 4 5 5 5 4 3 2 2 2 3 3 4 3 3 3 4 3 3 3 nan
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nan 13 14 15 15 13 13 13 13 13 14 14 13 11 8 5 4 6 9 11 14 15 15 15 16 15 15 15 15 15 15 13 10 8 7 7 7 8 10 11 13 15 17 18 18 17 15 14 14 15 17 19 21 22 21 20 18 16 14 14 13 13 13 13 13 13 13 14 15 16 16 16 16 15 14 14 14 14 14 13 11 10 9 8 9 10 11 11 12 13 13 14 14 13 12 11 8 7 6 7 9 10 12 13 14 14 14 14 14 13 12 12 11 11 12 12 12 12 13 13 13 14 14 14 14 14 13 12 12 12 11 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 11 12 12 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 9 9 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 11 11 11 10 9 8 9 12 14 16 16 13 12 10 9 8 8 10 12 13 14 12 11 11 10 10 9 7 7 7 8 10 12 13 14 13 11 11 12 13 13 12 10 10 10 12 13 13 12 11 10 10 11 13 13 13 12 10 9 8 6 4 3 4 6 8 10 12 13 14 14 13 13 13 13 13 13 13 12 12 10 9 8 8 10 11 13 14 14 14 13 13 13 12 12 12 11 12 12 13 13 14 13 12 12 11 11 12 12 12 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 12 12 13 13 14 15 15 15 15 14 13 12 12 11 11 11 11 12 12 12 12 10 8 5 2 2 3 5 6 8 9 10 11 12 12 12 12 12 12 11 11 10 9 9 10 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 14 14 14 14 13 13 13 12 12 12 12 12 13 13 14 15 16 18 19 19 19 18 17 16 15 14 14 13 13 11 10 9 9 10 12 12 12 12 12 12 12 12 13 14 15 16 16 15 13 12 11 11 10 11 11 nan
nan 12 13 14 15 15 15 14 14 13 13 12 12 11 8 6 4 5 8 12 15 16 16 16 15 15 15 15 15 14 13 11 8 6 6 5 6 7 8 9 11 13 15 17 17 17 17 16 16 17 18 20 22 23 22 21 19 16 14 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 14 13 13 13 12 12 10 8 8 8 8 10 12 13 14 15 16 16 15 15 13 11 9 8 8 8 10 11 13 14 15 15 15 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 13 13 14 14 14 14 14 14 14 14 14 14 13 13 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 10 10 10 11 12 13 13 12 10 8 6 6 9 12 14 16 16 14 12 11 10 9 7 6 6 6 8 10 12 14 14 13 12 11 11 12 12 11 9 9 9 11 14 13 12 10 9 9 11 12 13 12 10 8 6 6 5 5 5 7 9 11 12 13 13 13 14 14 13 13 13 13 13 12 11 10 8 8 8 10 12 14 16 16 15 14 14 13 13 12 12 12 12 12 12 13 14 14 14 13 13 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 13 13 12 11 9 8 8 8 9 10 11 12 12 12 12 12 12 12 12 12 11 12 13 14 16 17 18 17 16 15 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 16 15 15 14 13 13 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 12 13 15 16 16 15 14 13 13 12 11 12 12 nan
nan 11 11 12 12 13 13 13 13 12 12 12 12 13 12 9 6 6 6 8 11 13 15 15 15 15 15 15 14 13 12 9 7 5 5 5 5 6 7 7 8 10 12 13 14 14 14 15 16 17 19 20 22 22 21 20 18 15 14 13 14 14 14 14 13 12 12 11 10 10 10 10 10 10 9 9 10 10 10 10 10 9 8 8 9 10 12 13 15 15 16 17 16 15 15 13 11 10 10 11 11 13 14 15 15 15 15 14 14 14 13 13 13 12 11 11 11 10 10 10 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 14 14 15 15 16 17 17 17 16 16 14 13 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 11 11 10 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 10 11 11 10 9 7 6 8 11 14 16 17 16 14 12 11 10 8 6 5 4 6 8 10 12 13 14 14 12 11 11 11 11 10 9 8 7 9 11 12 12 11 10 10 12 12 12 11 10 8 7 7 7 8 9 10 12 13 13 13 13 14 14 14 14 13 12 11 11 10 9 8 8 8 10 12 14 16 17 16 15 15 14 14 13 13 13 13 12 13 13 13 14 14 14 13 13 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 9 9 9 9 10 11 11 12 12 12 12 13 13 14 14 14 13 13 13 13 13 14 14 14 14 13 13 12 12 11 10 10 10 11 11 13 15 16 18 18 18 16 15 14 14 13 13 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 13 13 13 13 13 13 14 14 14 13 12 12 12 13 13 13 14 14 14 14 13 13 14 13 13 13 13 13 13 12 12 12 12 11 11 12 13 14 15 15 15 14 13 13 12 12 12 13 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 12 13 11 9 7 6 6 7 10 13 14 15 16 16 15 14 12 10 8 7 6 6 6 7 7 7 8 8 9 11 12 12 13 14 14 16 18 19 19 19 19 18 16 15 14 13 13 15 16 16 16 15 13 12 11 10 9 8 8 7 6 6 6 7 8 9 10 10 10 10 9 10 11 12 13 14 15 15 16 16 16 15 15 13 13 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 12 11 11 10 10 11 11 12 12 13 14 14 16 17 18 17 17 16 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 11 11 11 11 10 10 10 10 11 12 12 12 12 11 10 9 9 9 10 12 12 13 12 11 10 8 8 8 9 10 11 11 10 10 9 10 11 13 14 14 14 13 12 12 11 10 7 5 4 4 6 8 10 11 13 13 13 13 13 12 12 12 10 9 8 7 7 9 10 12 12 11 11 12 12 12 11 11 10 10 10 11 11 12 12 13 13 13 13 13 14 14 14 13 12 10 9 8 8 8 9 10 11 13 14 15 16 16 15 15 15 15 14 14 14 15 14 14 14 14 14 14 14 13 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 11 12 12 13 13 13 13 13 14 14 14 14 14 14 14 15 15 15 14 14 13 13 12 12 11 11 10 10 10 10 11 12 14 14 15 15 14 14 14 13 13 13 13 13 12 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 14 14 14 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 14 14 14 15 16 16 17 17 16 16 15 15 14 14 13 13 13 13 12 12 12 13 13 14 15 15 14 14 13 13 13 13 13 nan
nan 10 9 9 8 7 8 8 9 9 9 10 10 11 12 11 11 10 8 8 9 12 14 16 17 17 16 15 13 11 9 8 7 8 8 8 9 9 9 9 9 11 12 13 13 14 15 16 17 18 18 17 16 14 13 12 12 12 13 14 15 16 16 16 15 14 13 12 11 9 8 7 6 6 6 7 7 8 10 11 11 11 11 12 11 12 13 14 14 15 16 16 16 16 16 15 14 13 13 12 12 12 12 12 11 11 11 11 11 12 12 12 13 12 11 11 10 10 10 10 10 10 11 10 11 12 13 14 14 14 14 13 13 12 12 11 10 10 10 10 10 11 11 12 13 14 15 15 15 15 14 14 13 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 11 11 11 10 10 10 11 11 12 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 9 10 12 13 13 13 13 13 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 10 9 8 7 8 10 12 13 14 13 11 9 7 6 6 7 10 11 12 12 12 12 13 13 13 12 10 10 10 10 11 11 9 7 6 5 6 7 8 10 11 11 12 13 13 13 12 11 11 10 9 9 7 7 8 9 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 11 9 8 8 8 10 11 13 13 14 15 15 15 15 15 15 14 14 14 15 15 15 15 15 15 14 14 14 13 13 12 12 13 13 14 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 9 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 13 14 14 15 15 15 15 14 13 12 12 11 12 12 11 11 11 11 11 11 12 12 12 12 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 14 14 14 15 15 15 15 14 14 14 14 14 14 14 14 14 14 15 15 15 16 16 16 15 15 15 15 15 16 17 17 18 18 18 18 17 16 16 15 14 14 13 13 13 13 12 12 12 13 13 14 14 14 14 14 14 14 14 13 nan
nan 10 8 6 5 5 6 8 10 11 11 11 11 11 11 11 11 11 11 12 14 16 17 17 17 15 13 12 11 10 9 9 9 9 10 10 10 9 9 9 10 11 13 14 15 15 16 17 17 16 15 14 12 11 10 10 11 12 13 14 15 16 16 16 15 15 14 13 12 10 9 8 7 7 7 7 8 9 10 11 13 13 13 14 14 14 14 15 16 17 18 18 18 17 16 14 13 12 12 11 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 11 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 11 10 10 10 11 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 9 8 7 8 9 11 13 14 14 14 14 13 12 12 11 11 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 11 9 8 7 8 9 11 13 14 14 12 11 9 8 7 6 7 9 10 11 11 12 14 15 15 14 11 10 9 10 10 10 9 7 6 6 6 8 9 10 10 11 11 11 12 12 12 11 9 9 10 10 10 9 8 8 9 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 12 14 15 15 15 15 15 15 15 15 14 14 14 14 14 14 15 15 15 15 15 15 14 14 13 13 13 14 15 15 15 14 13 12 12 12 12 13 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 15 16 16 16 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 16 16 16 16 17 17 17 17 17 16 16 15 14 13 13 13 13 12 12 12 12 12 12 13 13 14 15 15 15 15 14 14 nan
nan 9 7 4 4 5 7 10 12 13 13 12 11 10 9 9 9 10 12 15 17 18 18 17 15 12 10 9 9 10 10 11 11 11 11 11 10 9 9 8 8 9 11 13 14 16 17 17 16 15 13 11 10 10 10 11 12 14 15 16 16 16 15 14 14 14 14 13 12 11 9 8 7 7 6 7 8 9 10 12 13 15 16 16 16 16 16 17 18 20 21 20 18 17 14 13 12 11 11 10 9 9 8 8 8 8 9 10 10 11 11 12 12 13 13 13 12 12 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 8 6 5 5 6 9 13 14 15 14 14 13 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 10 9 9 9 10 11 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 12 13 14 14 13 11 10 11 11 11 10 7 5 3 4 7 9 11 11 11 11 11 11 11 11 10 8 7 7 8 9 10 9 9 9 10 11 12 12 13 13 13 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 12 13 15 16 17 17 16 16 15 15 14 14 14 13 13 13 13 14 14 15 15 16 16 15 14 14 13 13 14 16 17 17 16 14 13 12 12 13 13 13 13 12 11 10 9 9 8 9 10 11 11 12 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 15 16 17 17 17 15 15 14 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 13 13 13 13 13 13 14 13 13 13 13 13 13 14 14 14 15 15 15 15 15 15 14 14 15 15 15 14 14 14 13 13 13 12 11 12 13 13 14 15 15 14 13 13 13 14 15 15 16 16 15 15 15 14 14 14 13 13 13 12 12 12 12 12 12 14 15 15 16 16 16 15 14 nan
nan 9 7 6 6 7 10 13 14 14 13 11 10 8 7 7 7 8 11 16 18 19 18 16 14 11 9 9 9 9 10 10 11 12 12 12 12 11 9 8 8 8 9 11 12 14 16 16 15 14 13 12 11 11 12 13 14 16 17 17 17 16 15 14 13 13 13 13 12 11 10 9 8 6 6 6 7 8 10 11 13 14 15 16 17 17 17 18 19 21 22 21 18 16 13 12 12 11 11 10 9 9 8 8 9 9 10 10 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 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 12 12 13 13 12 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 7 5 3 2 3 8 12 15 16 15 14 13 12 12 12 12 12 12 12 11 12 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 9 10 11 12 12 12 11 10 10 11 12 12 11 10 8 8 10 10 11 12 12 12 11 11 10 9 9 10 10 10 10 9 10 11 12 13 13 10 6 4 2 3 7 9 11 12 12 11 11 11 11 10 8 6 4 2 4 7 8 10 12 11 11 11 12 12 13 13 13 13 12 11 10 10 9 8 7 6 6 7 8 9 10 11 11 12 13 13 14 15 16 17 17 17 17 17 16 16 15 15 14 13 12 12 12 12 13 14 15 15 16 16 16 15 14 13 13 14 16 17 17 16 14 13 13 12 13 13 13 13 12 10 9 9 9 10 11 13 14 14 13 12 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 12 12 12 12 13 13 13 13 14 14 14 15 17 17 18 17 16 15 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 13 13 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 14 15 15 15 15 14 13 13 13 13 14 14 14 14 14 15 15 15 15 15 14 14 14 14 13 12 12 12 13 15 16 17 18 18 17 16 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
561 588 497 407 300 356 379 376 378 401 453 473 504 533 513 442 376 327 256 272 324 320 237 180 145 120 108 107 90 68 58 57 52 46 41 36 32 27 21 9 0 0 0 1 5 10 14 17 19 20 21 19 17 14 13 13 13 12 11 8 6 4 4 4 5 6 6 6 11 14 15 15 14 11 9 11 14 14 14 14 13 13 13 14 16 13 10 10 14 15 14 9 16 14 11 12 8 6 6 6 5 5 6 7 8 11 13 12 10 9 8 7 6 5 6 9 17 13 9 6 4 5 6 16 83 260 423 427 378 413 508 570 571 565 564 561 572 580 626 721 718 555 379 340 385 345 339 419 481 541 585 617 629 634 610 571 493 376 296 286 345 406 475 552 602 650 697 715 728 839 979 965 932 921 861 808 754 639 487 328 219 198 234 257 329 337 328 444 503 233 398 654 790 905 987 1093 1283 1408 1172 619 169 23 4 3 4 43 286 777 985 739 738 535 529 425 373 383 103 57 122 191 257 265 330 505 483 292 180 254 424 436 263 125 55 38 97 250 441 516 449 343 285 327 416 424 333 252 228 237 262 249 178 124 78 30 15 47 70 64 55 69 180 320 468 647 762 614 360 172 104 154 211 164 73 23 9 3 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 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 1 3 5 8 11 14 16 16 20 26 31 32 31 48 98 87 67 81 98 148 196 146 85 51 38 39 33 18 7 4 3 2 2 3 5 8 8 12 17 15 22 45 73 98 123 153 158 123 95 66 56 61 55 26 13 14 8 3 4 5 8 9 20 33 42 47 50 52 54 60 72 93 120 145 161 170 179 189 200 210 223 240 256 275 271 251 183 80 39 50 119 188 277 415 568 501 507 452 423 374 334 240 281 351 252 236 229 140 100 165 409 810 1198 1506 1527 1353 1267 1416 1459 1626 1843 1845 1831 1765 1742 1834 1958 2115 2210 2318 2441 2589 2697 2493 1983 1487 1467 1778 1984 2026 1890 1678 1662 1857 2084 2250 2452 2520 2154 1669 1272 1117 1020 947 958 934 987 1132 1291 1308 1235 1257 1270 1188 1167 1150 1126 1161 1272 1528 1860 2058 1840 1498 1492 1754 1900 1895 1742 1506 1568 1678 1520 1308 1137 830 531 360 272 276 272 265 265 286 300 357 301 253 205 161
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82 85 95 93 106 123 108 101 111 120 112 100 108 122 122 124 112 87 80 80 74 66 61 50 39 33 26 23 17 8 1 0 1 1 1 1 1 1 0 0 1 2 2 3 3 3 3 3 3 4 4 4 3 3 4 4 5 5 6 5 4 6 5 4 7 9 9 8 8 7 7 8 11 12 12 11 10 11 12 12 12 12 11 12 11 11 12 12 13 14 14 13 13 14 13 11 12 10 10 9 10 9 9 9 9 8 8 9 10 10 10 10 9 10 9 10 9 10 10 11 9 4 3 5 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 5 26 78 156 213 201 180 168 143 111 76 43 42 46 46 51 102 195 208 225 305 406 465 423 310 210 146 111 89 74 77 116 180 117 185 237 251 282 268 257 285 281 206 91 23 6 3 4 5 8 6 0 2 5 5 5 5 6 6 8 15 21 23 22 24 32 40 41 41 46 49 44 37 30 29 74 168 181 91 31 15 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 6 10 18 26 25 19 17 16 15 12 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 2 3 4 5 6 6 6 6 7 8 9 9 10 11 11 11 10 8 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 10 15 21 29 36 40 43 43 46 55 67 75 82 89 95 98 96 86 89 121 161 160 135 118 107 99 94 92 90 80 66 55 43 33 24 17 14 11 7 5 3 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 0 0 0 0 1 1 1 2 7 8 6 8 13 18 29 61 81 91 99 106 121 142 163 181 202 221 250 303 377 418 422 406 420 429 463 543 608 658 714 773 831 892 976 1078 1154 1133 1057 1072 1139 1234 1256 1258 1302 1379 1477 1560 1616 1681 1735 1807 1876 1933 2059 2239 2326 2395 2416 2473 2509 2541 2535 2503 2438 2357 2298 2200 2102 2085 2048 1988 1845 1603 1550 1694 1991 2384 2660 2362 1789 1507 1487 1253 965 1034 1363 1539 1570 1644 1801 1951 1926 1870 1875 2062 2279 2189 1949 2179 2298 1882 2153 2564 2401 2150 1904 1654 1359 1051 724 725 741 801 778 667 601 599 615 669 726
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48 52 65 67 74 61 55 58 64 68 65 60 61 63 60 55 54 50 47 44 39 33 26 20 13 14 16 11 9 5 3 2 2 1 2 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 1 1 2 5 6 6 7 7 7 5 3 1 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 4 4 4 5 7 8 9 9 8 8 7 7 7 7 7 6 7 6 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 3 9 14 15 14 13 9 4 2 3 5 3 2 5 5 1 0 0 0 0 1 2 5 7 8 9 15 30 57 100 172 227 292 338 454 553 473 362 289 231 183 126 53 7 0 0 0 0 2 7 3 0 0 1 0 1 8 10 10 15 16 9 2 0 1 6 20 34 42 44 44 50 54 47 37 31 29 32 37 37 30 22 15 10 8 8 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 1 3 4 3 2 1 4 10 17 18 16 13 8 4 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 4 4 5 6 5 5 8 8 8 10 13 13 16 24 28 32 39 44 47 48 48 50 49 47 43 41 37 34 33 31 29 26 22 16 7 1 0 2 5 8 15 27 41 55 62 59 52 51 55 59 64 65 65 63 63 71 82 88 88 86 84 83 81 82 90 100 106 107 107 106 106 105 104 98 94 90 85 77 66 57 49 42 37 33 29 25 20 16 12 9 8 6 3 1 1 2 4 5 7 10 14 17 23 26 24 29 30 31 33 36 38 46 53 45 29 23 23 19 17 18 18 20 19 18 16 18 21 22 20 21 27 35 42 46 46 44 41 36 34 33 33 32 31 30 30 31 34 33 31 29 27 25 24 23 20 19 21 21 22 23 22 23 23 25 25 27 30 37 53 82 118 153 192 220 235 243 244 256 293 368 432 476 497 508 524 546 579 626 644 632 610 642 728 824 797 758 735 749 795 817 829 847 870 881 848 829 869 923 908 956 1016 1120 1171 1224 1358 1476 1544 1580 1574 1489 1443 1555 1756 1928 1963 2275 2636 2745 2631 2354 2126 1928 1823 1878 1967 1936 1630 1448 1526 1647 1533 1369 1207 1124 1000 875 843 1147 1743 2188 2441 2399 2086 1683 1539 1390 1118 1128 1128 1102 948 740 614 551 491 434 412
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33 33 31 35 41 37 31 29 26 23 21 22 20 17 20 23 24 22 20 19 17 16 18 17 18 20 22 21 16 10 5 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 1 2 4 4 2 2 2 2 2 2 1 1 1 1 2 2 4 5 5 5 4 3 3 3 3 3 3 3 2 3 3 3 3 4 5 4 5 5 5 6 7 7 7 6 6 6 7 6 5 5 5 5 6 6 4 3 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 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 9 24 35 48 68 90 101 94 63 31 46 5 8 48 50 64 45 20 9 4 1 0 0 1 3 3 2 0 1 2 2 2 4 6 6 12 30 56 78 92 102 105 107 112 131 132 134 137 134 101 41 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 2 5 6 6 5 3 2 3 3 2 2 3 3 3 2 2 2 2 3 4 6 8 9 10 11 10 9 11 13 14 16 19 27 33 37 41 47 50 46 52 66 68 65 63 65 69 73 76 75 70 63 52 44 42 41 36 30 26 23 21 19 18 17 19 22 27 33 38 43 46 44 41 39 38 38 41 49 60 69 74 75 76 78 82 86 91 93 91 91 97 101 107 113 118 117 118 110 97 89 85 80 73 65 58 51 42 30 17 6 3 3 4 9 14 17 15 12 10 7 5 5 5 6 8 10 13 17 24 33 41 40 40 45 52 59 64 68 70 70 68 63 59 55 50 45 42 41 38 33 32 29 26 24 24 24 24 23 21 23 25 20 20 18 16 13 11 10 10 12 12 11 9 7 8 15 24 31 32 35 36 35 35 36 36 36 37 38 41 43 43 44 45 45 46 48 50 53 53 55 58 65 77 96 145 174 206 247 277 254 260 284 308 324 321 320 341 366 355 351 337 298 259 233 207 188 170 151 143 144 146 139 134 127 135 184 228 246 273 298 309 310 304 325 359 398 482 581 603 667 715 724 737 807 881 935 992 1000 1039 1182 1475 1619 1779 1783 1715 1717 1639 1587 1462 1146 912 1061 1311 1403 1377 1552 1898 2111 1973 1740 1559 1404 1290 1210 1131 1062 1056 1013 912 848 889
32 36 39 33 35 30 27 27 25 23 22 24 25 25 28 30 30 26 23 23 22 20 20 18 18 22 25 24 19 12 6 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 1 1 1 1 1 1 1 1 1 2 3 4 4 4 5 5 5 4 3 3 3 3 3 2 2 3 3 3 3 3 4 5 5 5 5 6 6 7 7 7 6 6 7 5 5 4 5 6 5 3 3 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 1 3 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 9 23 35 51 73 89 87 72 56 37 23 11 16 20 15 18 12 5 2 1 0 0 0 1 2 0 0 0 0 0 0 1 1 3 2 5 26 74 112 114 105 102 100 103 132 134 98 89 109 92 42 11 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 5 5 5 4 3 3 2 3 3 4 4 3 2 2 2 2 3 5 6 7 9 10 11 11 11 11 15 14 16 20 26 30 33 40 47 49 44 47 63 67 66 67 68 72 76 77 76 71 62 51 43 41 39 35 32 29 27 24 21 20 17 17 18 24 29 34 38 41 42 40 39 38 37 38 44 54 61 66 68 69 70 75 78 83 86 87 89 95 101 106 112 115 111 107 99 92 87 83 76 70 62 55 46 35 22 11 4 2 2 4 9 14 13 11 9 7 5 3 3 3 4 5 6 7 11 19 28 35 38 40 41 44 50 55 58 61 63 61 54 49 47 48 45 41 41 38 33 28 25 22 19 18 22 26 25 22 20 25 21 20 18 15 9 5 3 2 4 6 5 3 3 4 8 19 29 32 34 36 38 39 40 39 36 36 37 40 41 42 44 46 48 49 53 56 58 62 72 78 86 103 121 145 160 194 195 201 200 203 218 239 277 326 303 276 287 286 294 286 267 235 200 171 148 131 124 117 116 125 123 119 119 115 144 168 177 208 255 277 284 288 306 324 309 328 388 497 627 665 643 681 737 752 761 819 875 933 1019 1210 1378 1574 1707 1703 1613 1506 1418 1346 1155 930 831 901 1192 1295 1381 1542 1823 1993 1846 1633 1470 1388 1297 1195 1162 1092 1022 967 894 861
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27 31 29 26 23 23 30 42 34 29 33 28 25 28 33 32 31 32 28 24 25 21 17 13 12 11 10 8 7 7 6 4 4 3 2 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 3 3 4 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 2 3 3 3 3 3 1 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 0 1 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 3 9 12 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 0 0 0 0 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 8 9 11 14 18 19 15 13 15 16 16 15 13 10 9 8 8 7 6 6 7 9 11 12 14 16 25 35 40 43 47 51 54 58 64 71 84 83 96 180 219 193 156 135 119 101 89 83 77 68 59 45 38 39 37 31 24 19 19 21 23 25 25 23 21 18 16 15 16 23 32 37 39 40 46 61 74 82 89 102 114 119 118 112 99 82 71 65 62 63 66 67 66 62 57 56 56 55 53 46 36 25 15 8 5 5 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 16 17 15 14 15 15 13 7 7 16 18 13 14 21 30 37 38 39 41 45 42 33 36 41 36 28 25 24 26 28 32 37 39 38 36 35 33 28 26 27 28 28 26 25 24 24 22 21 19 24 29 34 40 45 48 50 52 58 63 66 67 64 64 65 64 62 60 57 55 52 58 59 56 53 52 51 46 43 42 41 41 39 40 46 41 36 33 30 29 30 29 28 27 27 27 26 24 20 20 19 17 15 16 19 20 21 21 20 16 24 33 36 31 24 21 23 26 29 24 36 42 45 56 68 72 81 96 113 134 149 163 193 241 316 424 603 754 830 930 1128 1237 1222 1178 1193 1259 1096 1115 1325 1599 1783 1625 1408 1254
29 37 34 26 23 22 25 28 26 25 28 26 21 22 26 26 27 27 24 21 23 19 17 17 13 10 8 7 6 5 5 5 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 4 5 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 2 3 2 3 3 2 2 2 2 2 2 2 2 2 1 0 0 1 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 1 2 0 0 0 0 3 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 4 18 26 14 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 1 2 6 9 10 12 16 20 19 17 16 17 18 18 17 15 13 11 10 10 9 7 7 7 7 11 14 15 16 24 36 42 43 45 45 45 42 41 61 99 103 105 215 308 259 179 143 127 110 97 89 80 70 60 46 41 41 37 31 25 20 19 21 24 24 22 22 21 18 15 16 18 30 38 41 41 41 44 55 68 76 81 88 96 102 104 104 94 81 69 62 60 62 65 65 63 55 51 51 52 53 52 45 36 28 19 11 8 7 6 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 9 12 12 12 13 12 8 4 8 17 19 12 13 19 29 40 46 43 41 45 44 37 37 41 40 35 33 31 31 34 36 38 39 39 39 40 39 36 34 34 34 32 30 24 25 26 25 24 23 22 23 24 27 31 35 36 38 41 45 48 50 51 52 53 52 51 49 44 41 40 42 43 42 41 41 42 42 40 37 34 38 35 38 40 38 36 34 33 32 31 30 31 31 30 30 28 25 23 21 20 18 17 16 17 18 19 20 19 19 27 30 25 21 18 18 18 18 20 22 30 30 34 45 53 59 60 60 69 92 100 110 135 170 214 274 369 486 593 722 942 1058 1059 1031 1068 1172 1243 1197 1177 1420 1658 1667 1565 1370
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