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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 8 7 5 4 3 4 6 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 7 5 5 6 7 8 8 9 9 9 10 10 11 11 13 14 14 13 12 11 10 9 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 11 14 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 11 11 11 11 11 10 9 8 6 4 4 4 4 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 8 5 3 3 4 6 7 7 7 7 7 8 9 10 11 11 12 13 13 13 11 10 10 9 9 8 8 7 7 6 6 7 8 9 9 9 9 8 8 8 8 9 9 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 9 8 8 8 8 7 5 4 5 6 7 9 9 9 8 7 7 8 8 8 8 8 8 9 9 8 7 7 8 8 8 6 3 3 4 5 5 6 6 7 8 9 11 12 12 11 11 11 11 11 11 11 11 11 10 9 8 8 7 6 6 7 7 8 8 9 8 8 7 7 7 7 7 9 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 9 9 8 8 8 8 8 9 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 10 9 10 10 11 11 9 8 7 5 5 6 8 7 6 4 4 6 8 9 8 6 6 7 8 8 7 6 5 5 5 5 6 8 10 12 13 14 13 11 10 9 9 9 10 11 12 12 11 10 9 8 8 7 7 8 8 8 7 7 8 7 6 5 5 5 6 7 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 11 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 13 14 14 13 12 12 11 10 10 8 7 7 7 8 9 8 5 4 5 8 10 9 7 6 6 8 10 11 10 8 7 6 7 7 8 10 11 12 13 13 11 10 8 8 9 10 11 12 12 11 11 10 9 9 9 10 10 9 8 7 8 8 7 5 4 4 5 5 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 8 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 10 10 9 8 8 10 12 12 11 9 9 10 11 12 12 11 11 10 10 11 12 12 11 10 10 11 11 10 8 7 9 11 13 13 11 8 7 8 8 8 8 9 10 11 11 11 10 9 9 11 12 13 13 12 12 11 11 10 10 10 11 11 10 9 9 9 9 8 7 7 7 7 5 4 nan
nan 8 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 8 8 9 9 8 7 6 6 7 9 12 13 14 13 12 11 12 14 15 15 13 11 11 12 12 11 10 10 12 13 13 11 9 7 8 9 8 8 8 9 10 10 9 9 10 11 12 13 13 13 13 13 13 12 11 11 11 10 10 10 10 11 12 12 11 11 11 10 9 8 8 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 9 10 10 11 11 11 11 11 10 9 8 7 6 6 5 5 7 9 11 12 11 11 11 11 12 13 13 12 11 11 12 14 13 13 12 11 12 12 11 9 8 9 10 10 9 9 9 8 7 7 8 9 10 11 11 10 10 12 13 14 15 14 14 12 11 10 10 11 11 11 13 14 14 13 12 11 11 11 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 10 11 11 11 12 12 11 10 8 7 7 8 7 6 5 5 5 5 6 6 7 8 9 9 10 10 10 10 10 11 12 12 12 11 11 11 11 10 10 10 10 11 11 10 9 8 7 7 7 7 8 9 10 9 9 9 10 13 14 16 17 17 16 14 13 12 10 9 9 11 13 13 13 13 14 13 13 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 10 11 11 11 11 11 11 10 8 7 7 8 8 8 7 6 5 3 3 3 4 4 5 6 7 8 8 9 9 8 8 8 8 8 8 8 8 9 11 12 12 11 10 9 9 8 7 7 7 7 7 8 9 9 9 9 10 11 12 13 14 15 16 16 16 15 14 13 11 10 9 9 11 13 15 15 15 14 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 10 10 10 11 11 10 10 9 8 9 9 9 10 10 11 11 11 11 10 10 9 8 7 8 8 9 9 9 8 7 6 6 6 5 4 4 4 5 5 6 6 6 6 7 7 7 5 5 5 6 8 11 13 13 12 10 9 9 8 8 7 7 7 8 8 9 9 10 11 11 12 12 12 12 12 12 13 14 15 16 16 15 13 11 11 11 12 13 14 14 14 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 12 12 12 11 11 10 11 11 11 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 9 9 10 9 9 7 6 4 4 4 5 6 7 9 10 10 9 8 6 5 7 9 11 12 12 11 11 10 10 10 9 10 10 9 10 10 10 12 13 13 13 12 12 11 11 10 10 11 12 13 15 16 16 16 15 14 13 11 11 11 12 14 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 12 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 12 11 11 12 12 11 11 10 9 8 7 7 8 11 12 13 12 11 11 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 12 14 15 16 15 13 12 11 11 11 10 11 11 12 12 12 13 14 15 14 13 11 10 10 12 13 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 11 12 12 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 11 12 13 13 12 13 13 13 13 13 13 13 12 10 10 10 11 12 12 12 12 13 15 16 15 13 12 11 11 11 11 11 10 10 11 11 12 12 12 11 12 14 15 16 15 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 11 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 11 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 8 8 7 8 9 9 9 11 12 13 13 13 13 13 13 13 13 13 12 12 12 11 10 11 11 11 12 14 15 16 16 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 15 14 13 12 13 13 13 12 12 12 11 11 10 10 10 9 10 11 11 10 9 8 8 nan
nan 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 9 8 6 4 3 2 2 4 5 6 6 7 8 11 12 13 13 12 12 11 11 10 11 12 12 12 11 11 11 12 13 14 14 13 12 12 12 11 11 12 12 12 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 13 13 12 12 12 11 10 10 10 9 9 9 10 10 10 10 9 8 nan
nan 8 8 9 9 9 9 9 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 8 8 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 10 8 5 3 0 -2 -3 -4 -5 -5 -4 -3 -3 -3 0 5 9 12 13 12 11 10 10 10 12 13 13 13 12 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 10 11 12 11 10 nan
nan 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 10 6 3 0 1 2 4 6 8 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 14 13 10 7 3 1 -0 -1 -1 -1 -2 -3 -5 -7 -9 -10 -10 -8 -4 1 6 9 9 10 10 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 10 10 11 11 10 10 10 10 12 12 12 nan
nan 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 10 6 0 -4 -7 -7 -6 -3 -0 4 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 10 7 4 2 2 3 5 6 7 6 5 3 1 -2 -4 -7 -8 -10 -9 -6 -3 0 3 6 8 9 10 10 10 9 9 9 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 12 12 nan
nan 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 13 12 10 6 2 -2 -4 -5 -6 -6 -5 -4 -1 2 4 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 9 9 8 7 7 8 10 11 12 12 12 11 10 9 8 6 3 -1 -7 -12 -14 -13 -11 -8 -4 0 3 5 6 6 5 6 6 7 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 9 9 8 8 7 7 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 nan
nan 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 11 7 3 0 -0 1 2 1 0 -1 -2 -2 -1 2 5 7 7 6 7 7 8 8 8 8 8 7 7 8 8 9 10 10 11 11 11 11 10 9 9 10 12 14 16 17 18 18 18 18 17 15 14 13 12 11 10 7 3 -2 -7 -10 -12 -12 -11 -9 -7 -5 -2 1 3 5 5 5 5 6 7 8 9 10 11 11 10 10 10 10 11 10 10 9 7 5 5 6 7 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 nan
nan 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 8 5 2 1 2 4 5 6 6 4 2 1 1 3 6 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 9 10 12 16 19 23 24 24 25 26 25 23 20 17 15 14 13 13 12 10 8 6 3 0 -3 -6 -8 -11 -11 -9 -6 -2 2 4 4 3 4 5 6 7 8 9 10 10 11 11 11 11 10 10 9 8 7 6 7 7 9 10 11 12 12 11 11 11 10 9 9 9 10 10 10 9 9 10 10 9 9 9 9 10 11 11 nan
nan 9 9 9 9 9 10 10 10 11 11 11 11 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 6 3 2 3 4 5 6 7 7 7 6 5 5 6 7 8 8 9 9 9 9 9 10 10 9 10 10 10 10 10 10 11 11 11 11 10 10 10 11 13 15 18 21 22 22 22 23 23 23 23 23 21 18 16 15 13 12 12 12 12 10 8 5 2 -1 -5 -8 -8 -8 -7 -5 -3 -1 1 3 4 4 4 6 8 10 11 11 11 11 10 10 11 12 13 13 12 10 10 11 13 14 13 12 12 12 11 9 8 8 8 9 9 9 9 9 9 8 8 7 8 9 9 10 nan
nan 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 10 9 8 7 6 4 2 2 3 4 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 15 15 15 14 12 11 13 16 21 24 24 23 20 18 15 13 13 13 13 13 12 12 11 9 6 2 -3 -8 -12 -14 -12 -9 -6 -2 1 1 2 3 4 6 8 10 10 11 11 12 13 15 15 15 14 13 11 11 12 13 12 11 12 13 13 12 10 9 8 9 9 8 8 8 8 7 6 5 5 6 7 8 nan
nan 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 10 10 10 11 11 11 11 11 11 10 9 8 7 5 2 1 2 3 5 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 8 4 3 5 9 14 19 22 23 23 22 18 16 14 13 13 13 13 13 13 13 12 10 6 2 -3 -8 -11 -11 -11 -8 -5 -2 -0 1 1 1 3 5 7 9 10 11 12 12 12 12 12 11 10 10 10 10 10 9 10 12 13 13 12 10 9 9 9 8 7 8 8 8 7 6 5 5 6 6 nan
nan 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 6 4 3 3 5 7 8 8 9 9 9 9 10 10 10 11 12 13 12 11 11 10 10 10 10 9 9 10 10 11 11 10 10 10 10 11 11 12 12 13 13 13 12 12 10 8 7 7 9 10 12 14 17 20 23 24 23 20 19 17 16 16 15 15 15 16 16 16 14 12 9 5 1 -3 -7 -9 -8 -6 -3 -1 -0 -0 0 1 3 5 6 7 7 8 8 9 10 10 10 10 9 9 9 8 7 8 10 11 11 10 10 10 10 9 9 9 9 10 10 9 8 7 6 6 nan
nan 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 8 7 6 7 8 8 9 9 9 9 10 10 10 10 10 12 13 12 12 11 11 11 10 10 9 9 9 10 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 11 12 14 16 18 18 17 15 14 15 17 19 22 25 26 25 24 24 23 23 22 22 23 24 23 21 18 16 14 11 8 3 -2 -5 -7 -7 -4 -1 1 2 2 2 3 4 4 5 6 8 10 12 13 13 12 12 11 10 9 8 7 7 8 9 9 10 10 11 11 10 9 9 9 10 10 9 8 7 6 nan
nan 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 12 11 10 9 10 10 10 9 9 9 10 11 11 12 12 13 13 13 13 12 12 12 11 11 11 11 11 10 11 12 16 19 20 20 17 15 14 14 14 14 17 20 23 26 27 27 27 28 28 27 27 27 27 26 24 22 20 19 17 14 10 5 -0 -4 -4 -1 3 5 6 5 5 5 5 6 8 10 11 13 14 15 15 14 13 13 12 11 9 8 8 8 8 9 10 11 11 10 9 7 7 7 8 8 8 7 6 nan
nan 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 9 9 9 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 9 7 6 7 8 9 9 9 9 10 10 10 10 10 12 13 13 12 11 11 11 11 10 10 10 12 13 13 13 13 13 13 13 14 13 12 12 11 11 11 10 9 9 10 11 13 14 14 14 13 12 12 12 11 11 12 14 16 18 21 22 23 23 23 23 21 21 22 24 26 26 26 25 25 25 23 19 15 11 8 8 9 9 9 9 8 7 7 7 8 8 8 9 10 12 13 14 14 14 13 13 12 10 9 7 7 7 8 10 10 10 10 8 7 6 6 7 7 7 7 nan
nan 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 10 9 8 8 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 11 11 9 7 6 6 7 9 9 9 9 10 10 10 10 11 14 17 17 17 16 14 13 13 12 12 14 14 15 14 14 13 13 12 12 12 12 12 12 11 11 11 10 9 9 10 11 11 11 10 9 8 7 7 7 8 9 10 10 11 12 14 15 15 15 15 14 13 14 15 18 21 24 25 26 27 28 28 28 27 25 23 19 16 13 12 11 10 9 9 8 7 7 6 6 8 9 11 13 14 13 13 13 12 11 10 8 7 6 7 9 10 10 10 10 9 7 6 7 8 9 9 nan
nan 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 10 10 9 8 8 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 10 10 10 10 10 8 7 7 7 7 8 9 9 9 10 10 10 11 13 18 21 22 21 18 15 14 14 14 15 15 15 15 14 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 9 7 3 1 1 2 5 7 9 10 11 11 11 11 11 11 11 11 11 11 12 13 14 17 19 20 21 21 22 24 25 24 22 19 16 14 12 12 11 10 10 10 9 9 8 7 8 10 11 12 13 13 13 13 12 11 10 10 9 8 9 10 10 10 10 10 10 10 9 10 11 12 12 nan
nan 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 6 5 4 5 7 8 9 9 10 10 11 11 12 17 23 26 25 22 17 15 14 14 15 15 16 15 14 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 6 2 -1 -2 -2 1 4 7 9 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 12 12 12 13 12 12 11 11 11 11 10 10 11 11 10 10 10 9 8 8 8 9 11 11 12 12 13 12 11 11 11 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 nan
nan 10 9 8 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 4 2 2 4 7 9 9 10 10 10 11 12 16 22 29 30 26 21 16 14 14 15 15 15 14 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 7 4 2 -0 -1 -1 1 4 8 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 9 6 2 0 0 1 1 2 4 5 5 5 6 8 9 8 6 5 3 2 1 1 2 3 4 6 7 9 11 12 12 12 13 16 16 16 16 15 15 14 14 13 13 12 12 12 12 nan
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nan 10 8 7 6 6 5 5 6 6 7 8 9 9 9 9 9 9 9 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 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 8 8 9 9 10 11 11 12 14 19 21 17 12 11 13 17 18 17 15 14 13 13 13 12 11 11 11 12 12 12 11 11 9 8 7 7 7 8 9 9 9 10 9 8 7 6 6 7 8 8 7 7 7 8 9 10 11 11 12 12 12 11 11 11 11 11 10 11 13 17 21 25 26 24 21 16 12 8 6 4 2 -0 -3 -4 -5 -4 -3 -1 1 2 2 1 0 -0 -1 -4 -7 -9 -11 -10 -6 -0 6 10 11 11 11 11 11 10 9 9 9 9 9 9 9 nan
nan 11 9 8 7 5 5 5 5 6 7 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 8 7 7 7 8 9 10 10 11 11 12 14 18 18 15 14 15 17 17 15 13 11 11 12 12 13 12 11 11 11 11 11 11 10 9 7 4 2 2 2 4 7 8 9 9 9 8 7 6 6 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 12 15 18 22 26 27 28 26 23 20 18 16 14 13 10 8 6 6 6 5 6 6 7 7 7 8 7 5 2 -2 -7 -9 -8 -5 1 6 9 10 11 11 10 10 10 10 10 9 9 9 9 nan
nan 12 10 8 7 5 4 4 5 6 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 10 10 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 9 10 11 11 12 12 14 16 16 16 18 19 17 15 12 11 10 11 12 13 13 13 13 12 11 11 11 11 11 10 8 6 4 3 2 4 6 7 8 9 8 7 6 5 6 7 8 8 9 11 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 16 19 23 27 28 29 29 28 26 25 24 22 20 18 16 14 13 12 12 13 15 16 17 16 13 11 7 3 -2 -5 -5 -2 2 7 9 11 11 10 10 10 10 10 10 9 9 9 nan
nan 12 11 9 7 6 5 5 5 6 7 7 8 8 9 9 9 9 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 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 7 7 8 9 10 11 12 12 12 13 14 15 17 19 18 15 14 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 12 12 12 11 10 8 7 6 6 6 5 5 3 3 4 6 7 8 8 9 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 13 16 20 24 28 31 32 33 33 33 32 30 28 26 24 23 22 23 24 26 26 26 24 21 17 14 11 6 1 -2 -1 3 6 9 10 10 10 10 10 10 10 10 10 10 10 nan
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nan 9 8 8 8 7 7 8 8 9 10 10 10 9 10 9 7 6 5 5 8 11 13 13 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 14 16 18 19 17 14 12 12 16 21 22 21 20 20 20 20 21 22 23 23 22 22 23 25 28 31 30 26 20 15 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 10 7 4 3 4 6 8 8 9 10 11 12 13 13 13 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 17 17 17 16 15 13 12 11 nan
nan 6 4 3 3 3 4 5 7 9 9 9 9 9 9 8 6 5 6 9 13 15 14 13 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 14 13 12 11 10 12 15 18 19 20 20 21 23 25 27 29 29 28 27 27 28 29 31 29 25 20 15 13 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 11 9 7 6 8 12 14 15 14 14 14 14 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 14 16 17 18 19 20 20 19 16 14 nan
nan 7 4 1 -1 -2 -1 1 3 4 6 7 8 9 8 8 8 9 12 15 16 16 14 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 11 12 12 12 13 13 12 12 11 10 9 9 11 13 14 15 15 16 18 20 23 25 26 25 24 24 24 24 24 22 19 16 13 12 12 13 14 14 14 14 13 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 11 10 11 12 16 19 19 18 17 17 16 16 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 14 14 15 16 17 18 19 18 17 15 nan
nan 11 8 5 3 1 1 0 -0 0 2 4 6 8 9 10 11 13 15 16 16 14 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 11 12 12 13 13 13 13 12 11 9 9 9 10 11 12 12 12 13 14 16 17 17 17 16 15 16 16 16 15 13 12 11 11 11 12 13 14 14 14 14 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 11 12 14 16 16 16 15 15 15 15 14 14 13 13 13 13 13 13 12 12 13 13 13 13 13 14 14 14 14 13 13 13 13 14 14 14 13 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 nan
nan 14 13 12 10 10 9 8 8 8 8 8 9 9 10 11 11 12 13 13 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 12 13 13 14 14 13 12 11 9 8 8 8 9 10 10 11 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 14 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 13 13 14 14 14 14 14 14 14 13 14 14 14 14 13 13 13 13 13 14 14 14 nan
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nan 10 11 11 12 12 12 14 16 19 19 18 15 12 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 12 11 10 9 8 6 3 -1 -3 -3 -1 5 9 13 16 19 19 16 15 14 13 12 11 11 11 11 11 11 11 11 11 11 12 13 14 15 15 16 15 13 12 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 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 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 nan
nan 10 11 11 12 14 17 19 20 20 18 15 12 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 10 9 8 8 8 8 7 5 4 4 5 8 11 13 14 16 19 19 17 15 13 12 11 10 10 11 11 11 11 11 11 11 11 12 13 14 15 16 16 15 13 12 11 10 11 11 12 12 12 12 12 12 12 12 12 12 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 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 12 nan
nan 10 10 11 11 12 14 14 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 11 11 11 11 11 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 11 12 13 17 21 21 20 17 13 11 11 10 11 11 11 11 11 11 11 11 11 12 13 15 16 17 16 14 12 11 10 10 11 12 12 13 13 13 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 11 12 12 11 10 9 10 12 16 23 26 25 22 17 13 11 11 11 11 11 11 11 11 11 11 11 11 12 14 16 17 17 16 13 12 10 10 10 11 12 12 13 13 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 11 12 12 13 13 14 14 14 13 13 13 13 13 13 13 nan
nan 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 8 7 7 8 10 11 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 11 11 12 11 10 9 10 14 19 25 29 29 26 21 16 12 12 11 11 11 11 11 11 11 11 10 11 11 13 15 17 18 17 16 13 12 11 10 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 nan
nan 9 9 9 9 9 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 10 8 6 5 5 6 8 10 12 12 12 12 12 11 11 11 12 12 12 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 15 19 24 28 28 25 21 16 13 12 12 12 12 11 11 11 11 11 10 10 11 12 14 16 18 18 17 15 13 12 11 11 12 12 13 13 13 13 13 12 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 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 12 12 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 12 12 12 13 14 14 13 13 13 12 12 12 13 13 13 13 14 nan
nan 10 10 9 9 10 10 11 11 11 12 12 12 12 11 11 11 11 11 10 8 6 4 4 6 9 12 14 14 13 13 12 12 11 11 11 12 12 12 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 12 11 11 12 13 16 19 21 21 19 17 14 13 12 12 12 12 12 12 11 11 11 10 10 10 11 13 15 17 19 18 17 15 13 11 11 11 12 12 13 13 13 13 12 11 10 10 9 9 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 13 13 13 13 nan
nan 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 12 11 10 7 6 6 9 12 16 17 16 15 14 13 12 12 11 11 11 11 12 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 14 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 12 14 16 18 18 17 15 13 11 10 11 11 11 12 12 12 12 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 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 12 12 12 12 13 13 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 11 12 14 16 17 17 15 14 13 13 12 12 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 11 12 13 15 18 18 18 16 14 11 10 10 10 11 11 12 12 13 12 12 10 10 9 10 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 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 12 12 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 13 15 16 17 16 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 12 12 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 13 15 17 19 19 18 15 12 11 10 10 11 11 12 12 13 12 12 10 10 9 10 10 11 11 11 11 12 11 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 10 11 11 12 12 12 12 12 11 11 11 10 10 9 10 10 11 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 12 12 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 12 14 17 19 20 18 17 14 11 11 10 11 11 12 12 12 12 12 11 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 10 10 10 10 11 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 nan
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nan 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 9 8 8 9 10 11 11 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 12 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 13 16 18 19 19 17 15 13 11 11 10 11 11 12 12 12 11 11 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 10 12 13 15 16 16 15 14 13 13 13 13 12 12 12 12 12 12 11 10 9 9 8 8 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 9 6 5 5 6 9 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 16 18 19 19 18 16 14 12 11 10 10 11 12 12 12 12 11 10 10 10 10 11 11 11 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 10 10 9 7 6 5 5 5 6 7 9 11 13 15 17 17 16 15 13 13 12 12 12 12 12 12 11 11 10 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 nan
nan 12 13 13 13 12 12 12 12 12 12 12 12 12 12 11 9 8 7 8 10 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 10 10 11 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 15 18 19 19 19 16 14 12 11 10 11 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 11 10 10 10 11 11 12 12 12 13 13 13 12 12 12 12 12 12 11 9 7 3 -0 -2 -3 -1 2 4 7 9 10 12 14 15 15 15 14 13 13 12 12 12 12 12 12 11 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 9 9 8 nan
nan 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 12 14 16 16 15 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 12 11 11 10 9 10 10 10 11 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 13 14 17 18 19 19 17 14 13 11 11 11 11 12 12 12 12 11 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 12 13 13 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 9 5 1 -3 -5 -5 -4 -0 3 6 9 9 10 10 10 10 12 13 14 14 14 13 13 12 12 12 12 11 10 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 12 12 11 10 10 9 9 nan
nan 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 15 16 16 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 10 10 9 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 12 14 16 18 19 18 17 15 13 12 11 11 11 12 12 12 11 11 10 10 11 11 11 11 10 10 9 9 9 10 10 11 11 12 12 12 13 13 14 14 14 14 15 15 14 12 11 10 9 8 8 8 8 8 8 8 8 8 7 4 1 -1 -1 -1 0 3 5 7 9 10 8 6 4 4 6 10 12 14 15 14 14 13 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 11 10 10 10 nan
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nan 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 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 11 12 12 13 15 16 18 18 17 16 13 12 11 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 13 13 13 12 12 12 12 11 10 10 9 8 8 8 7 8 8 8 6 5 4 4 5 5 6 6 6 6 7 6 3 1 -1 2 8 13 15 15 14 14 13 13 13 12 12 11 11 10 9 9 8 8 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 16 17 17 17 15 14 12 11 11 11 11 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 12 12 12 11 10 11 11 11 11 10 10 10 10 10 10 11 10 10 9 6 5 4 4 5 6 6 6 6 6 7 5 4 2 3 7 11 14 15 14 14 14 14 14 14 13 12 11 10 9 9 9 9 9 10 11 12 13 14 14 14 13 13 12 11 11 11 11 11 11 11 12 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 15 16 17 17 15 14 12 11 11 11 11 12 12 11 11 11 12 12 12 12 12 11 10 10 10 10 10 11 11 11 12 12 13 13 12 12 11 11 11 10 10 10 9 9 9 9 10 10 10 11 11 12 13 13 12 11 9 6 4 3 3 4 5 5 6 6 7 8 9 8 8 6 7 8 9 11 13 14 15 17 17 16 15 13 12 11 10 10 10 10 10 11 11 12 13 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
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CAPE
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4 5 4 4 3 3 3 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 3 2 2 1 1 1 1 1 2 4 6 6 7 8 9 10 11 12 13 14 16 19 21 24 27 33 38 42 46 52 59 54 47 42 35 34 44 58 61 65 69 74 80 84 86 86 87 87 86 84 84 85 86 86 84 81 81 82 84 85 87 88 89 92 95 100 109 118 98 81 67 57 45 37 32 29 27 29 30 31 33 34 36 37 37 36 36 37 40 42 48 53 55 56 59 63 67 69 66 63 59 53 50 50 52 54 57 60 66 73 78 83 86 87 83 77 72 69 69 69 68 65 59 57 56 56 58 63 66 68 70 68 69 69 67 69 73 77 79 80 80 77 74 68 60 52 43 36 30 25 20 17 16 16 17 19 20 23 27 28
4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 5 5 5 6 6 5 5 5 5 5 4 3 2 2 2 2 2 1 1 1 1 2 3 5 6 6 6 7 8 10 11 13 15 17 20 21 24 30 34 37 41 47 56 56 54 51 44 37 37 44 52 61 68 73 76 79 81 82 83 85 84 81 81 82 83 83 82 82 82 82 81 79 79 80 83 88 94 102 112 122 110 90 69 56 44 35 29 26 27 30 32 33 35 37 38 39 38 37 37 40 46 51 56 60 63 64 65 63 60 57 53 50 48 45 44 46 50 53 55 59 64 71 78 83 85 83 78 73 69 67 63 58 53 49 44 44 44 45 44 48 52 56 58 59 60 61 60 61 66 73 79 82 78 72 68 65 60 54 46 39 33 28 23 21 20 20 20 21 22 25 29 30
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4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 6 6 6 6 5 4 3 3 3 3 3 3 2 2 2 1 1 1 0 1 3 5 6 7 8 10 11 13 14 16 19 23 27 31 35 39 44 46 49 55 65 69 63 54 47 44 44 52 70 78 81 82 82 82 82 82 83 83 83 83 83 85 87 87 87 88 86 84 85 89 101 106 109 113 112 94 71 50 40 35 31 30 30 30 30 31 33 35 36 35 36 37 41 46 52 55 55 54 51 47 42 37 34 33 30 28 27 26 28 30 33 33 35 39 43 50 53 58 61 64 61 59 56 51 46 46 47 47 48 48 47 45 43 42 42 42 43 46 49 51 53 56 59 60 58 59 69 80 76 67 62 59 53 50 47 43 36 29 24 20 18 17 17 19 21 23 24
4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 2 1 1 1 3 4 6 7 9 10 12 13 16 20 24 28 31 36 42 44 45 47 53 62 63 63 63 61 59 60 65 76 81 82 82 82 84 85 85 85 84 85 85 85 85 83 80 79 83 85 87 90 96 104 107 105 100 87 67 48 40 36 33 31 27 25 26 27 28 31 33 34 34 36 39 44 49 51 52 49 45 41 37 34 31 28 27 25 23 22 21 21 22 24 26 28 32 37 42 46 48 49 52 53 52 50 47 46 47 48 49 50 50 50 50 50 49 50 52 53 54 57 58 59 58 55 51 53 65 78 84 75 68 65 64 60 55 52 49 43 37 30 24 21 20 20 19 20 20 21
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5 5 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 3 2 3 4 4 5 9 14 19 24 28 29 33 37 41 43 44 46 47 53 57 58 56 55 57 59 61 66 74 77 76 76 78 80 81 80 81 82 82 80 78 76 76 79 84 83 83 92 90 89 86 78 56 45 39 36 36 34 32 28 25 23 24 27 31 34 36 39 42 44 44 43 42 40 37 34 29 26 23 22 22 20 19 18 18 18 18 18 19 19 20 22 25 25 25 26 27 29 33 36 39 43 48 52 53 54 55 55 56 60 67 72 75 78 81 84 87 90 80 73 72 75 79 80 78 76 75 76 77 75 74 74 74 73 69 64 61 59 54 49 44 39 35 31 29 27
5 5 5 5 5 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 5 5 5 6 6 6 5 5 4 4 7 10 15 21 26 27 31 36 41 41 42 45 46 50 54 56 55 55 56 59 61 66 72 75 75 74 75 76 78 78 79 79 77 75 75 77 79 85 90 85 78 81 78 75 74 74 54 41 35 34 34 32 29 27 25 25 27 31 35 38 40 43 43 41 39 37 36 34 31 28 25 23 21 18 18 16 15 16 18 17 17 17 18 18 19 21 21 21 21 21 22 26 30 34 39 44 48 51 54 56 58 61 65 70 73 76 80 84 86 88 92 95 95 93 89 85 86 87 86 82 81 82 83 84 82 79 77 76 73 69 64 65 64 61 57 51 44 38 34 31
4 5 6 7 8 10 11 10 8 7 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 7 7 8 8 8 8 9 9 10 10 11 10 9 17 23 29 36 40 35 37 43 45 49 54 56 54 54 55 59 64 69 72 74 73 73 72 72 72 72 72 73 73 72 74 79 83 90 88 80 70 65 63 60 56 58 47 36 28 29 28 28 28 29 29 30 33 36 39 42 44 44 42 39 36 33 31 29 26 23 22 21 21 20 18 17 16 16 17 17 17 17 18 18 19 20 20 19 19 20 23 26 29 32 35 40 44 49 54 57 60 62 64 65 66 66 67 69 70 73 77 80 81 80 75 74 75 76 76 73 72 74 78 82 85 86 84 82 78 74 70 69 68 66 64 59 53 46 39 34
4 5 6 7 8 11 12 11 9 8 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 10 10 12 13 14 13 13 14 13 10 9 15 21 29 38 41 44 46 49 48 51 56 55 55 56 60 68 72 74 74 71 65 63 63 63 65 68 70 70 73 77 82 89 89 76 63 55 53 49 45 41 41 36 31 27 26 27 28 29 30 31 34 38 41 44 46 46 43 40 37 33 29 27 25 23 20 19 19 20 19 19 19 19 18 18 18 18 17 17 17 18 19 20 20 19 20 22 24 26 28 31 35 39 43 50 55 58 59 59 58 55 55 54 52 51 53 54 56 56 57 59 61 61 61 62 62 63 65 67 69 73 78 82 84 84 80 76 72 69 70 68 64 59 53 45 39
5 5 5 5 6 9 9 9 8 6 5 5 4 3 3 3 3 3 3 4 4 5 5 5 6 5 5 5 5 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 14 14 14 14 14 13 12 11 12 15 20 32 39 46 52 59 57 56 57 56 56 57 59 68 72 74 72 69 63 59 59 59 62 66 70 72 75 81 88 93 82 71 62 56 52 47 43 42 41 39 35 31 29 28 28 27 29 32 36 40 43 45 46 43 40 36 32 27 25 24 22 21 19 18 18 19 19 19 18 18 19 18 18 17 16 16 17 17 18 20 21 21 21 22 22 23 24 26 29 33 37 42 47 49 52 52 51 49 47 44 41 39 39 39 39 40 43 47 49 50 49 51 52 54 56 57 57 58 63 71 78 84 82 79 74 71 74 72 68 63 57 50 45
5 5 5 5 5 5 6 6 5 4 3 3 3 2 2 2 3 4 4 4 4 5 6 6 6 6 6 6 6 5 7 8 8 9 10 11 11 12 12 13 13 13 14 14 14 14 14 14 14 14 13 13 14 16 18 27 36 45 53 59 60 60 59 58 57 57 59 66 68 68 65 64 60 57 56 56 60 65 69 72 78 88 96 86 75 67 60 54 46 42 42 42 40 38 36 34 33 31 30 28 29 32 36 39 41 42 42 38 34 30 26 23 22 21 20 19 19 18 18 17 17 17 17 17 17 16 15 15 14 14 15 15 17 19 20 21 21 22 22 22 23 24 25 27 31 35 38 39 41 43 45 45 43 39 36 35 33 31 30 32 35 37 40 41 40 40 42 44 45 47 48 51 55 62 71 77 78 76 73 71 71 70 68 63 57 52 48
4 4 4 4 4 5 5 5 5 4 4 3 3 3 4 4 5 5 6 6 6 8 7 7 7 6 6 7 7 7 9 10 10 11 12 13 13 14 15 14 14 14 13 14 14 15 15 15 15 15 14 14 15 16 16 24 33 44 55 48 47 52 59 58 56 56 58 59 60 59 58 57 56 55 54 55 61 67 70 74 82 86 80 70 64 59 54 51 47 44 41 39 39 38 38 37 36 34 31 31 32 35 38 39 40 38 35 32 28 25 22 21 20 19 18 18 18 18 17 15 15 15 14 14 15 15 14 13 13 13 13 14 15 17 18 19 19 20 20 20 21 22 22 24 26 28 30 31 34 36 38 39 36 33 33 32 31 30 28 27 28 29 32 33 34 34 34 36 38 40 44 50 55 60 67 70 71 71 69 72 74 73 65 60 56 52 47
4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 8 9 9 8 8 9 10 10 11 12 12 12 13 14 14 14 14 13 13 13 13 14 14 15 15 15 16 16 16 15 16 17 18 22 29 37 49 41 38 43 55 55 55 56 57 58 57 57 56 55 54 53 52 58 65 70 71 72 77 78 63 57 54 53 52 51 50 48 46 44 43 43 42 41 40 38 35 35 36 37 37 36 33 30 27 26 24 22 21 20 19 19 18 17 16 15 14 14 14 15 15 15 15 14 14 13 13 13 14 14 15 16 18 17 18 19 19 20 21 22 23 24 25 27 29 29 31 33 33 34 34 34 34 33 31 30 28 26 25 24 26 28 29 30 31 34 37 41 45 52 58 62 67 69 69 68 72 78 78 67 57 58 62 61 48
4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 8 8 9 12 18 15 12 11 11 11 12 12 11 11 12 13 13 14 14 14 14 13 13 13 13 13 14 15 16 17 17 17 17 19 20 21 24 25 27 27 29 38 38 37 39 51 53 52 51 52 55 57 59 57 56 54 52 52 60 68 71 70 69 67 63 55 53 51 50 52 51 51 51 52 52 51 49 47 44 42 41 37 36 35 35 32 30 28 24 23 22 21 20 20 19 18 17 16 16 15 14 13 13 13 14 14 13 13 13 13 13 12 11 12 13 14 15 16 15 16 17 19 22 24 24 23 23 25 26 26 27 28 29 30 31 31 31 32 32 31 30 29 28 26 25 26 27 27 28 31 34 37 40 45 51 57 61 63 63 62 61 68 74 76 71 75 81 79 66 53
4 3 3 3 3 4 4 5 5 5 5 5 6 6 7 8 8 9 11 16 19 17 15 13 12 11 12 11 11 11 11 12 12 13 13 14 13 13 13 13 13 13 14 16 17 18 18 18 19 20 23 25 27 29 31 33 34 36 38 37 35 34 47 43 38 35 36 40 45 49 52 52 50 47 50 58 66 72 70 68 62 54 51 51 50 49 51 53 54 55 57 57 56 53 49 45 42 38 34 33 32 31 28 26 24 22 21 20 20 19 18 17 15 14 15 15 14 14 12 12 13 13 13 13 13 12 12 11 11 11 12 13 14 14 15 15 16 19 23 26 26 23 20 19 21 23 24 25 26 27 28 29 29 29 29 29 29 29 29 28 26 26 27 27 28 27 28 30 32 33 37 41 44 46 49 52 54 56 59 61 63 66 69 72 75 61 54
4 4 5 5 5 5 6 6 6 7 7 7 8 8 9 10 11 12 17 22 24 19 14 12 10 10 11 10 10 10 11 12 12 13 13 13 13 13 13 13 13 14 15 16 18 19 19 20 21 24 26 28 30 32 33 35 36 35 36 37 34 28 35 36 31 25 22 23 26 32 36 36 34 32 41 49 56 58 52 50 49 47 44 43 44 46 52 56 59 59 60 58 55 52 48 44 40 34 31 29 28 27 26 24 22 19 19 18 18 18 16 14 13 14 14 13 12 12 12 13 13 13 14 14 13 12 11 11 11 11 12 12 12 12 13 14 16 22 19 17 17 17 15 15 17 20 22 24 25 27 28 29 29 30 30 30 31 30 29 28 28 28 28 28 28 28 29 30 30 30 31 32 35 35 38 43 48 53 58 62 63 63 63 62 62 61 59
4 4 7 8 8 7 11 12 11 11 11 10 10 11 12 12 12 13 16 18 18 15 12 10 10 10 10 10 10 11 12 12 12 12 12 12 13 12 12 13 14 15 15 16 18 20 21 22 23 27 29 30 32 34 34 36 38 39 38 35 32 28 27 25 22 19 19 20 21 24 27 29 31 33 38 42 45 47 44 41 38 36 36 39 44 50 56 61 64 64 62 59 55 50 46 42 37 33 30 28 27 26 24 22 20 18 18 17 17 16 14 13 13 13 13 12 11 12 12 13 12 13 12 11 11 10 10 10 10 11 11 11 11 12 12 12 13 16 15 13 13 13 13 14 15 18 20 22 24 26 28 29 31 31 30 31 32 33 33 32 31 30 29 28 29 29 29 29 28 27 27 30 31 32 34 38 44 51 58 65 70 70 68 67 67 67 66
4 4 6 9 11 10 13 15 18 19 19 18 16 15 14 14 13 13 12 12 12 12 12 11 11 11 11 10 10 11 12 12 11 11 11 12 13 12 13 14 15 17 17 18 19 21 22 23 24 25 27 30 33 36 38 40 41 40 37 33 29 27 25 22 19 19 21 24 28 30 32 34 36 41 45 46 45 43 41 39 38 37 38 42 48 54 60 65 69 68 64 60 54 48 44 39 35 31 29 27 26 25 23 21 18 18 17 16 16 14 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 12 13 11 12 12 12 12 12 13 14 15 18 21 21 23 26 29 31 32 31 30 30 31 32 33 34 34 33 33 33 32 31 31 29 28 28 29 31 31 31 33 37 42 47 54 58 58 59 61 64 67 70 71
4 4 6 8 10 11 13 16 19 22 24 25 24 20 16 15 14 14 13 13 13 13 12 12 12 11 11 10 10 11 12 12 12 12 12 12 12 13 14 16 17 18 20 22 23 23 24 24 25 27 31 34 36 39 42 44 43 40 37 34 31 28 25 22 20 22 26 30 35 39 39 40 42 45 47 46 44 42 40 39 39 38 41 45 52 57 62 66 69 68 65 60 53 47 41 36 32 29 28 27 26 25 22 19 17 17 16 15 14 14 14 14 13 12 11 11 10 10 10 10 9 9 10 12 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 12 12 13 14 16 19 20 22 24 26 27 28 28 28 28 30 30 31 33 35 36 36 34 34 33 33 32 30 29 29 29 29 29 30 32 37 42 48 53 53 52 52 52 55 59 64 67
4 4 4 5 7 11 14 16 16 16 16 16 16 15 14 15 15 15 14 14 14 13 13 12 12 11 11 11 11 11 12 12 13 12 12 12 13 15 16 16 17 19 21 23 26 27 27 28 29 31 35 38 40 44 45 45 43 41 38 35 31 28 26 24 24 28 33 36 39 42 43 43 44 47 48 48 45 43 41 40 39 39 42 47 53 60 65 68 71 69 65 58 51 44 39 35 32 30 29 28 26 24 21 17 15 14 14 14 14 14 13 13 12 10 9 9 9 9 9 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 12 11 12 12 13 10 11 13 15 16 18 20 22 24 26 27 25 24 24 25 26 28 29 30 31 31 31 31 30 30 29 29 30 30 30 30 29 28 28 28 30 34 40 47 52 50 45 43 43 45 49 55 61
5 4 5 4 6 10 14 14 13 11 11 12 13 15 16 16 16 16 15 14 13 14 13 12 12 12 11 11 12 13 13 13 14 13 13 14 14 14 15 16 18 21 22 25 27 28 29 31 34 36 39 43 47 47 47 46 45 41 38 34 30 28 29 32 35 36 39 41 43 42 42 42 43 46 47 47 46 43 40 38 38 40 44 49 56 62 67 71 72 69 63 54 46 40 35 32 31 30 29 28 25 22 19 17 15 14 13 13 13 12 12 12 10 9 8 8 8 7 6 6 7 7 8 8 9 9 9 9 10 11 11 11 11 11 12 12 12 13 13 11 12 13 15 15 17 19 21 23 25 26 23 22 23 24 24 25 26 27 26 26 25 24 24 26 27 28 29 29 30 29 28 27 26 26 27 29 32 35 39 39 36 35 36 38 43 50 57
4 5 4 4 6 10 13 15 17 22 27 30 27 20 18 17 16 15 15 14 13 12 11 11 11 12 12 12 12 12 13 14 15 14 15 16 17 17 17 19 23 26 28 30 31 33 36 39 43 46 50 52 52 50 48 45 42 40 40 41 41 42 49 56 53 41 36 36 38 39 41 43 44 44 44 42 40 37 36 37 38 40 45 52 58 65 71 75 73 68 59 49 41 36 32 31 31 30 29 27 24 21 19 17 16 14 12 12 11 11 11 11 9 8 7 7 6 6 6 6 6 7 8 9 9 9 8 9 10 11 12 12 12 12 13 13 13 14 13 13 13 14 14 15 16 17 18 20 20 20 20 21 22 24 25 25 25 24 23 22 22 22 22 23 25 27 28 28 27 26 25 25 25 25 26 26 28 28 29 29 28 30 32 36 41 45 49
4 4 4 7 9 11 11 18 24 27 27 24 20 18 16 15 15 14 14 13 12 11 10 10 11 11 12 12 12 12 14 14 15 15 16 17 17 18 21 25 29 33 36 38 38 40 46 52 58 60 61 60 58 53 48 44 38 38 42 45 41 39 40 44 48 35 27 27 31 35 39 42 42 40 36 32 30 29 30 33 36 40 45 51 59 67 73 76 72 64 55 45 38 34 34 34 32 30 28 26 23 20 18 16 14 13 11 9 9 10 10 9 8 6 5 5 5 5 6 5 6 7 8 8 8 9 9 10 11 12 13 14 14 14 14 14 14 14 14 14 15 14 15 15 15 15 16 17 17 17 18 19 20 22 22 21 21 21 21 20 20 21 20 19 20 22 23 23 23 23 23 23 23 23 23 23 23 22 22 22 24 27 29 29 29 31 34
4 3 4 5 6 7 14 17 18 18 17 16 14 14 13 13 13 13 12 11 10 9 9 9 10 11 12 12 13 13 15 16 16 16 17 18 20 23 27 32 36 39 42 45 46 50 55 61 68 68 67 63 58 48 41 35 30 28 30 33 31 29 29 31 39 30 23 22 25 28 32 34 32 29 27 26 26 27 28 30 35 41 46 51 58 65 70 70 65 57 49 41 36 35 37 36 35 33 30 27 23 20 17 15 12 9 7 7 8 8 8 8 7 6 6 5 4 4 5 5 6 6 7 8 8 9 10 10 11 12 13 13 14 14 15 15 15 15 16 17 18 17 16 15 15 14 14 14 14 15 16 18 19 20 19 19 19 18 17 15 16 18 18 18 18 16 16 17 17 17 17 19 19 19 18 17 15 14 14 15 16 18 19 20 21 22 23
4 3 4 5 6 6 7 8 9 10 12 12 12 13 13 13 12 10 10 9 9 9 9 9 10 11 12 12 13 14 15 16 16 16 17 19 24 28 33 37 42 46 49 52 54 55 57 58 58 56 54 51 47 37 29 24 21 24 24 21 20 19 19 20 26 25 20 17 18 19 21 22 22 23 24 25 26 27 27 29 33 38 43 50 58 65 70 65 57 49 43 37 34 34 36 37 36 33 31 27 23 20 18 15 12 8 6 6 7 7 7 7 7 6 5 4 4 4 5 5 5 6 7 7 8 9 10 12 13 13 13 14 14 16 17 17 17 17 18 19 18 18 16 15 15 15 14 14 14 14 15 16 17 17 16 14 14 13 12 11 12 13 12 11 11 11 10 10 10 9 6 8 9 9 9 9 9 9 10 11 11 12 13 15 16 16 16
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17 18 19 20 21 21 20 21 21 21 22 23 24 25 24 23 22 22 23 24 22 18 14 12 11 10 8 7 7 7 8 8 9 9 9 11 12 14 16 19 22 25 27 29 31 32 30 27 24 19 14 11 8 5 4 3 3 2 2 2 2 3 4 4 5 5 5 5 5 6 7 7 7 8 12 19 28 37 44 49 49 49 49 51 48 44 40 34 29 23 18 14 10 7 4 2 2 1 0 0 1 2 2 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 1 3 5 7 7 7 7 8 10 13 17 20 22 22 19 13 7 3 1 4 6 6 6 5 6 8 7 6 5 6 7 7 9 9 10 11 12 11 11 11 9 8 7 6 6 5 4 4 5 6
18 20 21 22 23 24 22 20 20 21 22 23 24 23 23 23 22 21 19 17 15 13 11 10 9 8 8 7 8 9 9 9 9 10 11 11 12 13 14 18 22 25 26 27 28 30 26 22 18 14 12 10 7 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 7 8 9 9 12 18 28 38 45 49 49 50 51 52 49 46 41 36 31 25 19 15 12 9 5 3 2 1 1 1 1 1 2 2 2 3 3 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 1 4 9 8 8 8 11 17 22 24 25 25 25 22 16 9 3 2 4 6 6 7 8 10 10 9 8 7 8 9 11 11 11 12 13 13 12 12 12 10 9 8 7 5 4 2 2 2 3
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