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 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 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 9 10 9 9 9 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 9 9 9 8 8 9 11 11 11 10 10 10 11 12 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 8 6 6 7 7 7 7 8 8 7 7 6 5 4 3 5 7 9 10 9 9 9 9 9 9 9 9 8 9 9 8 8 7 7 6 6 6 7 7 8 8 10 11 nan
nan 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 6 7 8 9 9 8 8 8 7 7 8 8 8 8 9 9 9 8 8 10 11 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 9 10 10 8 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 10 12 13 12 10 9 9 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 nan
nan 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 9 9 9 10 10 10 8 8 8 9 9 9 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 6 6 6 7 7 7 7 8 8 9 10 10 10 10 9 9 10 11 12 11 10 10 9 9 9 9 9 8 7 6 6 7 7 8 8 8 8 7 7 7 7 7 8 nan
nan 7 7 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 9 8 8 8 9 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 9 9 9 9 10 9 8 7 7 9 9 9 8 7 7 8 9 9 9 8 8 8 9 9 10 9 10 10 9 8 7 6 7 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 9 10 11 11 12 11 9 8 8 10 10 11 11 11 11 12 11 11 10 10 8 7 7 7 8 9 9 9 9 8 8 7 6 6 7 nan
nan 8 7 7 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 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 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 9 9 8 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 10 10 10 10 10 9 9 8 9 10 10 9 9 8 10 10 9 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 8 8 7 7 6 6 7 8 8 7 7 7 7 9 10 11 11 10 9 8 8 9 9 9 10 10 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 11 10 10 10 9 9 8 7 6 6 nan
nan 7 7 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 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 10 10 10 10 9 9 9 8 9 9 9 10 9 10 10 11 10 9 8 7 6 6 7 7 8 8 8 8 8 8 7 7 7 6 6 7 8 9 10 10 10 10 10 10 9 8 8 10 12 13 13 12 10 9 9 9 9 8 8 9 11 12 12 13 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 7 nan
nan 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 5 5 6 6 7 7 6 5 6 6 7 8 9 9 9 9 10 11 13 13 12 10 10 11 11 11 11 11 12 13 13 12 10 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 12 13 12 12 12 12 12 11 11 11 10 10 nan
nan 7 7 7 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 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 9 10 10 10 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 8 7 6 5 3 3 4 4 5 5 4 3 3 4 6 7 9 10 10 10 10 10 11 12 11 10 10 10 12 13 13 13 12 11 12 11 11 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 nan
nan 7 7 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 10 10 10 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 10 8 5 4 3 2 2 3 3 4 4 4 4 4 5 5 6 6 7 8 8 8 9 9 10 10 10 10 11 11 11 12 13 13 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 10 10 11 11 11 12 12 11 10 10 11 12 12 12 12 13 13 13 nan
nan 7 7 7 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 10 10 10 10 10 9 9 8 7 4 2 2 2 2 3 4 4 5 6 6 7 8 8 7 6 6 6 6 6 6 7 8 9 10 10 11 11 10 9 9 9 9 9 8 8 9 9 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 13 13 13 13 nan
nan 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 10 9 9 8 8 7 7 6 4 3 2 3 3 4 5 6 7 8 8 9 10 10 9 9 8 8 8 7 7 6 6 6 7 8 9 9 9 9 9 9 8 7 6 6 6 8 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 10 10 10 10 10 9 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 12 nan
nan 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 10 10 11 11 11 11 10 10 9 8 8 7 7 6 5 4 4 5 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 6 7 8 9 9 10 11 11 10 9 7 6 6 8 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 12 11 11 10 10 10 9 8 7 7 7 8 8 9 10 11 11 12 12 12 11 12 12 nan
nan 7 7 7 7 7 7 7 8 8 8 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 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 9 10 10 10 9 9 10 10 11 11 11 11 10 10 9 8 8 7 7 7 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 10 8 8 9 11 12 13 13 12 11 10 10 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 11 12 12 12 12 11 10 10 9 9 8 9 8 8 8 9 10 10 11 11 12 12 12 12 12 nan
nan 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 8 8 8 10 11 11 11 11 10 10 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 13 13 13 13 14 14 14 14 14 13 11 10 9 10 11 12 12 13 13 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 10 10 11 11 11 11 11 11 nan
nan 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 9 9 8 7 6 6 7 7 8 8 8 7 8 8 9 9 10 11 10 10 9 9 8 8 7 7 7 7 8 9 10 11 11 11 10 10 10 10 9 9 8 9 9 9 10 11 13 14 14 14 14 14 15 15 14 14 14 13 13 11 10 10 11 11 12 13 14 15 14 13 12 11 10 10 10 10 10 9 9 10 10 9 9 9 9 10 10 10 11 10 9 9 9 10 11 12 13 14 13 12 11 10 10 10 10 10 10 10 11 11 10 nan
nan 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 7 6 6 6 5 4 4 5 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 10 9 8 6 4 2 1 1 3 5 6 7 8 10 12 14 15 15 15 15 14 13 13 14 14 13 12 11 11 11 12 13 13 13 13 12 11 11 10 10 10 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 8 8 8 9 10 12 13 14 13 12 11 10 9 9 9 10 10 10 10 10 10 nan
nan 7 7 7 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 4 1 -0 1 3 3 3 4 5 7 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 11 12 13 13 13 12 10 8 5 3 0 -2 -5 -6 -6 -6 -5 -4 -3 -2 -1 2 7 11 14 14 13 13 13 13 13 14 14 14 13 12 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 11 12 12 11 10 10 10 9 9 9 9 9 9 9 10 10 nan
nan 7 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 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 8 4 -1 -7 -10 -8 -3 -0 2 3 5 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 13 13 14 14 14 14 11 7 3 -1 -3 -3 -4 -4 -4 -4 -4 -5 -6 -7 -7 -6 -3 0 4 7 8 9 9 10 11 12 12 12 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 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 11 11 10 10 9 8 7 4 -3 -10 -15 -15 -9 -3 -0 3 5 8 10 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 12 8 4 0 -1 0 1 3 4 5 5 4 3 2 1 1 -0 -1 -3 -3 -3 -2 -1 1 4 6 7 8 8 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 8 7 7 8 9 10 10 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 11 nan
nan 8 8 8 8 8 9 9 10 10 10 11 10 10 9 9 8 8 8 8 8 8 7 7 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 9 9 10 10 10 11 10 9 7 7 7 5 -0 -8 -13 -13 -9 -2 2 4 6 8 9 10 10 11 12 12 11 11 11 11 11 10 9 9 9 10 11 12 12 13 12 12 12 12 13 13 12 10 7 6 5 7 9 10 10 10 11 11 10 9 9 10 9 8 5 1 -4 -9 -9 -9 -7 -4 -1 1 3 3 4 4 5 6 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 12 nan
nan 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 8 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 9 7 6 7 6 4 -4 -10 -11 -7 -1 4 6 8 9 10 10 10 11 12 13 12 11 11 11 11 10 9 9 9 10 11 12 12 12 12 12 11 12 12 12 12 11 10 11 12 14 17 18 18 17 17 16 15 13 12 12 12 12 12 11 7 3 -1 -4 -5 -6 -6 -6 -6 -5 -3 -0 2 4 5 5 5 5 6 7 8 9 9 9 10 10 10 11 11 11 11 10 10 9 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 13 nan
nan 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 8 6 7 7 6 2 -6 -10 -7 -2 3 7 9 10 10 11 12 13 15 15 14 12 12 12 12 11 10 10 10 11 12 12 12 12 11 11 11 11 11 12 12 11 11 12 13 16 20 23 23 23 23 24 22 19 17 14 13 13 13 13 12 11 10 9 8 5 3 -0 -3 -6 -7 -6 -3 -0 2 4 3 3 4 5 6 6 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 nan
nan 8 8 9 9 10 10 10 10 10 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 7 7 7 7 5 -1 -8 -8 -4 1 6 9 10 11 11 11 13 16 18 17 14 12 12 12 12 11 10 11 11 12 13 13 12 11 10 10 10 10 10 10 10 10 11 12 13 15 17 19 19 20 19 19 19 19 19 18 17 16 14 13 12 11 11 11 11 11 9 7 5 2 -0 -2 -3 -4 -4 -3 -1 -0 2 4 5 5 5 6 7 9 9 9 9 9 8 8 9 10 11 11 11 10 10 11 11 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 nan
nan 8 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 7 3 -5 -8 -7 -2 3 8 10 11 11 10 11 12 15 18 17 14 13 13 12 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 10 10 11 11 12 12 13 13 12 10 7 7 9 13 18 20 19 18 16 14 12 10 10 10 10 10 10 10 9 8 7 4 0 -4 -7 -9 -7 -5 -2 1 3 4 4 5 5 6 7 7 7 7 7 7 8 9 10 10 10 10 9 9 10 10 9 9 9 10 11 10 9 8 8 8 8 8 8 8 7 7 6 5 5 6 6 6 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 11 11 11 10 10 10 9 9 8 8 8 6 -0 -7 -8 -5 0 6 10 10 10 10 10 10 11 14 17 17 16 15 13 12 11 10 11 11 12 12 12 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 7 2 -1 -0 3 8 13 16 17 18 18 17 14 12 11 10 9 9 10 10 10 10 10 8 6 3 1 -3 -5 -5 -5 -3 -1 1 3 4 3 3 3 4 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 9 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 nan
nan 8 9 9 9 9 9 9 9 9 9 10 10 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 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 7 8 7 4 -1 -6 -6 -3 3 8 10 10 10 9 9 9 11 13 16 19 18 16 13 11 11 11 12 12 12 12 11 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 9 6 3 3 6 9 11 12 12 13 16 18 19 19 18 16 15 14 13 14 14 14 15 15 14 13 12 9 7 4 1 -2 -4 -4 -2 -0 2 3 3 3 3 4 4 4 4 4 4 4 5 6 7 7 6 6 6 6 6 7 7 8 9 9 9 9 10 10 10 9 9 9 10 10 9 9 8 7 6 nan
nan 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 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 11 11 11 10 10 9 9 8 7 7 6 7 6 5 1 -2 -3 -0 4 8 9 9 9 9 9 9 10 12 15 19 19 16 12 11 11 12 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 11 14 17 18 17 14 12 12 13 15 18 21 22 22 22 22 22 22 22 23 24 24 23 20 17 14 12 11 8 5 1 -1 -3 -3 -1 2 4 5 5 5 5 5 5 5 5 7 8 9 9 8 7 7 7 7 8 7 7 7 7 8 8 10 11 11 10 9 8 8 9 9 10 9 8 7 6 nan
nan 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 9 9 10 10 11 11 11 10 10 9 9 8 8 7 6 6 6 7 6 3 -0 -2 -1 3 6 7 8 8 8 8 9 9 11 14 18 19 15 13 11 12 13 13 13 13 12 12 12 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 11 15 18 20 19 16 13 12 12 12 12 14 17 19 22 23 25 26 27 27 28 28 27 25 23 21 19 18 17 15 13 11 7 4 1 0 3 6 8 8 8 8 8 8 8 9 10 10 10 10 9 8 7 8 8 8 8 7 7 7 7 8 8 9 9 9 8 7 6 6 6 7 7 7 7 6 nan
nan 8 9 9 9 9 9 10 10 10 10 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 8 7 7 6 6 7 8 8 9 10 10 10 10 10 9 9 9 8 7 6 6 6 7 7 7 3 -1 -3 -2 1 4 5 6 7 8 8 8 8 9 14 19 20 18 16 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 8 8 9 11 13 14 14 12 11 10 11 11 11 10 11 12 13 15 17 19 20 21 22 22 21 20 20 22 24 24 24 23 23 23 22 20 17 14 12 11 11 11 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 7 7 5 4 4 5 6 7 7 nan
nan 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 6 5 5 6 7 8 8 8 9 9 9 9 9 10 9 9 8 7 6 6 7 7 8 7 3 -1 -2 -1 0 2 3 5 6 6 7 7 7 9 15 22 23 22 19 15 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 9 10 11 10 9 8 6 6 7 7 8 8 9 10 10 11 12 13 14 14 14 13 13 13 14 17 20 22 23 24 25 26 27 27 27 26 24 21 17 14 12 11 10 9 9 9 9 8 7 6 6 6 7 7 8 9 9 9 9 9 9 7 6 5 5 6 8 8 8 8 7 6 4 5 7 8 9 nan
nan 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 8 7 7 6 5 5 5 5 5 7 8 8 9 9 9 9 9 9 10 10 9 9 8 7 6 7 7 8 8 6 3 1 -0 -0 0 1 2 3 4 5 5 5 6 10 18 24 25 24 19 15 15 14 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 9 8 5 2 0 -0 1 4 6 8 9 10 11 11 12 12 12 12 11 11 11 12 12 13 15 17 18 20 20 22 23 24 24 22 19 16 13 12 11 10 10 10 10 10 9 8 7 7 8 9 10 10 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 9 9 10 11 12 12 nan
nan 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 7 6 6 6 5 5 5 6 6 7 8 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 7 8 8 5 2 0 -1 -1 0 1 2 2 3 3 4 4 6 13 22 27 27 23 17 15 14 14 13 12 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 7 4 1 -2 -4 -3 -0 3 6 9 11 11 12 12 12 12 12 12 12 12 11 11 11 12 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 7 8 10 11 11 12 13 13 13 14 14 16 16 16 16 15 15 14 14 14 14 14 14 15 15 15 nan
nan 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 9 9 8 7 6 5 5 5 6 6 6 7 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 7 4 1 -2 -2 -0 2 2 2 2 2 2 3 5 9 19 27 29 26 20 15 14 13 13 13 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 10 10 10 9 7 5 2 -1 -3 -3 -2 0 4 8 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 10 8 5 1 -1 -2 -1 0 1 3 4 4 4 5 7 7 6 4 2 0 -1 -1 -1 0 2 3 5 7 10 13 14 15 16 17 19 20 20 19 19 18 18 18 17 16 15 14 14 14 nan
nan 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 9 9 7 6 6 5 5 5 5 5 6 6 7 8 8 9 9 9 10 10 10 10 10 9 8 7 8 8 8 8 8 8 7 7 7 6 5 3 2 1 3 4 3 3 2 2 2 3 6 13 23 29 26 20 14 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 10 10 10 7 5 4 2 1 1 1 2 5 8 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 7 4 0 -3 -5 -6 -5 -5 -5 -5 -5 -5 -4 -3 -3 -4 -5 -7 -8 -8 -9 -8 -8 -9 -8 -7 -3 1 5 9 11 12 14 16 17 18 19 19 19 18 18 16 15 13 12 12 12 nan
nan 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 9 9 8 7 6 5 4 4 5 5 5 6 6 7 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 7 7 7 7 8 7 7 6 6 5 4 3 3 3 2 3 7 14 23 24 19 13 11 11 13 13 13 12 11 12 12 12 11 11 11 11 11 12 12 11 11 10 9 9 9 10 10 11 11 11 11 9 6 5 3 3 4 5 5 6 7 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 12 13 14 14 12 9 5 2 -0 -2 -3 -5 -6 -7 -7 -8 -8 -9 -8 -7 -6 -5 -5 -5 -6 -6 -7 -8 -7 -6 -5 -3 -0 5 9 11 12 13 14 15 15 15 15 14 13 12 11 11 11 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 7 6 5 4 3 3 4 5 6 6 7 8 8 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 8 7 6 5 4 4 3 3 4 7 15 21 19 15 12 11 13 14 13 12 11 12 12 13 12 11 11 11 11 11 12 12 11 9 6 4 4 5 7 9 10 11 11 10 8 6 4 3 4 6 7 8 8 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 13 16 20 22 22 21 18 15 11 8 6 5 3 2 0 -1 -1 -1 1 2 4 5 6 5 6 6 6 4 1 -2 -6 -6 -2 4 8 9 9 9 10 11 12 12 11 11 11 10 10 10 10 nan
nan 10 10 9 9 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 7 5 5 4 4 4 4 4 5 6 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 9 8 6 5 5 4 4 4 4 7 14 18 17 15 14 13 13 12 11 10 10 11 12 12 12 12 11 11 10 11 11 11 9 5 0 -2 -3 -1 2 7 9 10 11 9 7 5 3 3 5 7 8 10 12 15 16 15 14 12 12 12 12 11 11 11 11 11 10 10 11 12 14 17 21 23 24 24 22 20 17 15 13 12 12 12 11 11 11 12 12 12 13 13 15 16 18 17 15 11 7 4 4 7 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 11 11 10 10 8 6 4 3 3 3 4 5 5 6 6 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 5 5 4 4 4 7 13 16 16 17 16 14 12 11 10 9 10 11 12 13 13 12 12 11 11 11 12 11 9 4 1 -1 -1 -1 3 6 9 10 10 9 6 3 2 4 6 8 9 11 15 17 17 16 14 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 15 18 20 22 23 23 23 22 21 21 21 21 21 20 20 19 18 18 19 21 24 26 25 23 19 16 13 12 12 12 12 10 9 8 8 7 7 8 8 8 8 8 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 9 8 6 4 3 2 3 4 5 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 11 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 8 7 5 5 5 5 5 7 11 13 16 17 16 13 12 11 10 11 11 12 13 13 14 14 14 13 13 13 13 12 11 8 8 8 8 7 7 7 7 6 5 3 0 -1 1 4 7 8 9 11 15 16 16 15 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 13 16 18 21 23 25 26 27 28 28 28 27 26 25 26 27 28 30 32 31 28 24 20 17 14 14 14 14 14 12 10 9 8 8 9 9 9 9 9 9 9 9 10 9 nan
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nan 9 9 9 9 8 8 7 8 9 9 10 10 10 10 10 9 7 6 5 7 9 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 15 17 16 12 11 10 14 19 21 20 18 17 17 18 20 22 23 23 22 22 22 24 28 31 31 27 21 16 14 12 12 11 10 10 9 9 10 10 11 11 11 12 13 14 15 15 14 12 12 11 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 7 4 3 3 5 7 8 8 9 9 10 11 11 11 10 11 11 12 13 12 11 11 11 11 11 11 9 8 7 8 9 10 9 9 9 9 9 9 9 9 9 8 9 11 12 11 10 10 13 16 16 nan
nan 6 5 4 3 3 4 5 6 7 9 9 10 10 10 9 8 7 6 8 10 12 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 12 15 18 19 18 17 18 20 23 27 29 29 28 26 27 27 29 31 30 27 22 17 14 12 11 11 10 9 9 9 9 10 10 11 11 12 13 14 15 15 15 14 13 12 11 10 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 8 7 7 8 10 12 12 11 10 9 9 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 10 9 9 9 10 10 10 9 9 10 10 10 9 9 9 10 11 12 12 11 11 12 14 15 14 nan
nan 7 4 1 -1 -2 -2 -1 0 2 5 7 8 9 10 10 10 10 12 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 12 13 15 15 15 14 14 16 19 22 25 26 25 23 23 24 24 25 24 21 18 14 12 12 11 10 9 9 9 9 9 9 10 10 11 11 12 13 15 15 16 16 14 13 12 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 11 11 11 11 11 11 10 10 10 12 15 18 18 17 15 13 12 12 11 10 10 10 10 11 11 11 10 10 10 10 10 11 10 10 10 10 10 11 11 11 10 10 11 11 11 10 9 9 9 10 11 11 11 10 11 11 12 12 11 nan
nan 12 9 6 2 -0 -2 -4 -4 -3 -1 3 6 8 9 10 12 14 16 16 15 13 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 12 12 11 10 11 12 14 16 17 16 15 14 15 16 16 16 15 13 11 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 12 13 15 16 16 15 14 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 10 11 12 14 16 16 15 14 14 14 13 12 12 11 11 11 12 11 11 10 9 8 8 8 9 9 9 8 8 9 10 11 11 10 10 10 11 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 16 15 14 12 9 7 5 4 3 4 5 7 9 10 11 11 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 12 11 10 9 8 9 10 11 12 12 12 11 10 10 11 11 12 12 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 13 15 16 16 15 14 12 11 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 12 12 12 11 11 12 12 12 11 11 12 12 12 12 11 10 10 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 11 11 12 11 10 10 10 10 11 10 10 10 9 9 9 10 10 11 nan
nan 16 18 19 18 16 16 16 17 19 18 15 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 9 10 10 9 9 10 10 10 11 11 11 11 11 10 10 11 11 11 12 12 12 11 10 7 6 6 7 8 10 11 11 11 11 10 10 10 10 11 11 11 11 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 13 15 16 16 15 13 12 10 11 11 11 11 11 11 10 10 11 11 12 12 12 11 12 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 10 11 11 12 12 11 11 10 9 10 10 10 10 10 9 9 10 10 10 11 11 nan
nan 13 15 17 18 18 18 19 19 19 18 16 14 13 12 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 10 7 4 0 -2 -2 1 5 8 10 11 11 11 11 10 10 10 10 10 11 11 11 12 13 14 14 13 12 11 10 10 10 10 10 10 9 9 9 9 11 13 14 16 16 15 13 12 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 13 13 13 12 11 10 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 12 13 13 13 12 11 11 10 10 10 11 11 12 12 12 12 12 13 12 12 11 11 11 11 11 12 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 10 11 12 14 15 14 12 9 7 7 9 10 12 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 11 9 4 -1 -6 -11 -11 -7 -1 6 10 12 12 12 12 11 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 11 13 14 15 16 15 13 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 9 9 10 10 10 11 11 11 11 10 10 9 10 10 11 11 12 12 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 11 11 10 8 6 7 9 10 12 12 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 10 5 -1 -6 -9 -11 -6 -1 6 11 13 13 12 12 11 11 10 10 10 10 10 10 11 12 13 13 13 13 13 12 11 11 10 10 10 10 9 9 9 9 9 11 12 14 15 15 14 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 11 12 12 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 10 10 11 12 12 13 14 16 17 17 16 14 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 9 4 -0 -2 -2 0 5 8 12 15 16 14 12 12 11 11 10 9 10 10 10 11 12 13 14 15 15 15 15 13 12 12 11 10 10 10 10 9 9 9 9 11 12 13 15 15 14 13 13 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 12 12 12 11 11 10 10 10 10 10 11 11 12 13 13 12 11 10 9 9 9 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 9 9 9 nan
nan 10 10 11 13 15 17 20 21 20 18 15 13 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 10 10 10 10 11 11 12 12 12 10 7 5 5 5 8 9 10 13 15 16 15 13 12 11 10 10 10 10 10 11 12 13 14 15 16 16 16 15 14 13 12 10 10 10 10 10 9 9 9 10 11 12 13 14 14 14 14 13 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 11 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 nan
nan 10 10 11 12 13 15 16 16 15 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 13 13 12 11 10 10 9 8 9 9 10 13 17 18 17 15 13 12 11 10 10 10 10 11 12 13 14 16 16 16 16 14 13 12 11 10 10 10 10 10 10 9 9 10 11 12 13 14 14 14 14 13 13 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 nan
nan 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 9 8 9 11 13 20 23 23 21 18 14 12 12 11 10 10 11 11 12 14 15 16 16 16 15 13 12 11 10 10 10 10 10 10 9 9 10 10 11 12 13 14 14 14 14 13 13 12 11 11 11 11 11 11 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 10 nan
nan 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 8 7 6 7 8 9 10 11 11 12 12 12 12 11 11 10 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 13 17 22 27 28 26 23 17 14 12 12 11 11 10 11 12 13 14 15 16 15 15 14 12 11 11 10 10 10 10 10 9 10 10 10 10 11 12 13 14 15 15 15 14 13 12 11 11 11 11 11 12 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 10 10 10 10 10 11 12 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 nan
nan 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 8 7 5 5 5 7 8 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 9 9 9 11 14 19 23 27 28 26 23 18 14 13 12 11 11 10 10 11 12 13 14 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 15 16 16 15 15 14 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 9 9 10 10 11 12 12 12 11 10 9 8 8 8 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 6 4 4 6 8 11 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 12 15 18 21 22 21 19 16 14 13 12 11 11 10 10 11 11 12 13 14 14 13 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 12 14 15 16 16 16 15 13 12 11 11 11 11 11 11 12 12 12 12 12 11 11 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 12 11 10 9 8 8 8 8 8 9 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 9 7 5 6 8 11 14 15 15 13 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 11 11 11 10 10 11 12 13 14 14 14 13 13 12 12 12 12 11 10 10 10 11 12 13 13 13 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 11 11 12 14 15 16 16 16 15 13 12 11 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 9 8 8 8 8 9 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 9 10 nan
nan 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 11 11 11 11 11 12 13 15 16 16 15 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 11 12 12 12 11 11 10 9 10 11 12 13 13 12 12 11 10 9 9 9 10 11 11 12 12 11 11 11 11 10 10 10 11 11 13 14 15 16 16 16 14 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 nan
nan 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 14 16 17 17 15 13 12 11 11 11 11 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 12 12 12 11 11 11 11 11 10 10 10 10 11 12 13 13 12 12 11 10 9 9 9 10 11 12 12 12 12 12 11 11 11 10 10 10 10 11 13 14 15 16 16 15 14 12 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 11 11 12 13 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 nan
nan 11 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 11 12 13 14 13 12 11 11 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 10 10 11 12 13 13 14 13 12 11 10 9 9 9 10 11 12 13 13 12 12 12 11 11 10 10 10 10 10 11 13 14 16 16 16 15 14 12 11 10 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 10 11 12 13 13 14 14 14 13 13 12 12 12 12 11 11 11 11 12 12 12 13 13 12 11 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 12 12 13 12 12 12 11 11 11 10 10 nan
nan 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 13 14 14 13 12 11 10 9 8 9 9 10 11 12 13 13 12 12 11 11 11 10 10 10 10 10 11 13 14 16 17 16 15 14 12 11 10 9 9 8 9 10 10 10 10 9 8 8 8 9 9 10 11 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 9 8 8 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 13 14 14 14 13 12 10 9 9 9 9 10 11 12 12 13 12 12 11 11 11 11 10 10 10 10 11 12 13 15 16 17 16 15 14 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 11 12 13 14 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 8 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 10 11 11 nan
nan 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 7 5 4 3 4 6 8 9 10 10 10 10 9 9 10 10 10 10 10 11 11 11 12 12 12 13 13 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 12 12 12 12 11 11 11 10 11 11 12 14 15 15 14 13 12 11 10 9 9 9 10 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 12 13 15 16 16 16 15 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 11 10 10 10 10 10 10 9 8 8 7 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 12 12 13 13 12 12 12 11 10 9 9 9 10 11 nan
nan 12 12 12 12 12 12 11 11 10 10 10 10 10 10 9 9 7 6 6 6 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 11 13 14 15 14 13 12 11 10 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 11 10 10 10 11 12 14 16 16 16 16 15 13 13 12 12 12 13 13 13 13 12 11 11 10 10 9 10 10 11 12 13 13 13 12 12 12 12 11 11 11 10 8 6 3 1 -1 -0 1 3 6 7 9 10 10 12 12 12 11 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 14 14 14 13 12 12 12 12 nan
nan 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 10 11 12 13 14 14 13 12 11 10 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 14 15 16 16 15 14 13 12 11 11 12 13 14 15 15 14 13 12 11 9 8 8 9 10 11 12 12 12 13 12 12 12 11 11 10 8 4 0 -2 -4 -5 -5 -3 -1 3 5 7 8 8 9 10 12 12 11 11 10 10 11 11 11 11 11 11 11 10 9 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 14 15 16 16 15 14 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 14 15 16 16 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 13 13 13 12 11 10 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 14 15 15 15 14 13 12 12 11 11 12 13 14 16 16 15 14 13 12 11 9 9 8 9 10 10 11 11 11 11 10 10 10 9 7 5 3 0 -1 -2 -2 -3 -3 -1 1 3 3 3 3 4 7 10 12 13 12 12 12 11 11 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 12 13 14 14 15 14 13 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 12 12 12 13 13 13 14 13 13 13 12 12 11 11 11 11 11 10 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 12 13 13 12 11 10 9 9 9 9 10 10 11 11 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 12 14 15 16 16 15 14 13 12 11 11 12 13 14 15 15 15 14 14 13 12 11 10 9 9 10 10 9 9 9 9 8 8 8 7 6 5 4 3 3 3 3 2 0 0 0 0 -1 -1 -0 3 7 10 12 13 13 13 13 12 12 12 11 11 10 10 10 10 10 9 9 8 8 8 9 10 11 11 12 12 11 11 11 12 12 13 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 14 13 13 13 12 12 11 11 11 10 10 10 11 11 11 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 14 16 17 17 16 15 13 12 11 11 11 12 12 13 13 12 12 13 13 12 12 12 12 11 11 10 10 9 8 7 7 7 6 6 6 5 5 5 5 6 6 5 4 2 -0 -2 -2 -0 3 6 10 11 12 12 12 12 13 13 12 12 11 11 12 12 12 13 12 12 11 10 10 10 10 11 12 13 13 13 13 12 11 11 12 12 11 11 10 10 10 nan
nan 11 11 11 11 12 12 12 13 14 14 14 13 12 12 11 10 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 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 12 12 12 11 11 12 13 14 16 16 16 16 14 13 12 11 11 11 11 11 11 12 12 12 12 12 12 13 14 13 13 12 12 11 10 9 8 7 6 5 4 4 4 5 5 6 7 8 8 8 5 3 1 1 4 6 8 9 9 10 10 11 11 12 12 11 11 11 12 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 14 12 11 10 11 11 11 11 11 11 10 nan
nan 11 11 12 12 13 13 14 14 14 14 13 12 11 10 9 9 8 8 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 13 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 13 14 15 15 15 14 12 12 11 10 10 10 10 10 11 12 12 12 12 12 13 14 14 13 13 12 11 11 10 9 7 5 3 2 2 3 4 6 7 8 9 10 11 10 10 8 7 6 5 4 4 5 8 10 11 12 11 11 11 11 11 12 13 13 12 12 12 13 14 15 15 16 15 15 15 16 16 16 14 12 10 9 10 10 12 13 13 13 13 nan
nan 12 12 13 14 14 15 15 14 13 12 11 10 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 12 11 11 11 11 11 11 12 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 13 14 15 15 15 13 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 13 14 14 14 14 13 12 12 11 11 10 10 9 10 10 11 11 11 11 11 12 13 13 14 13 12 12 11 9 7 5 3 2 2 2 4 6 7 7 8 9 10 10 11 11 10 9 7 5 4 4 6 9 11 12 13 12 12 12 12 12 12 12 12 11 11 11 12 12 13 14 14 15 14 15 15 15 16 15 13 10 9 9 10 12 13 14 15 15 nan
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CAPE
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0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 6 8 8 7 8 8 9 9 9 9 10 10 9 10 11 12 13 14 16 17 16 15 15 15 15 13 19 29 41 49 56 63 69 74 79 75 69 65 61 60 60 63 69 70 68 65 64 68 82 98 109 110 91 75 65 59 55 52 49 48 50 51 51 50 47 43 40 36 32 29 28 29 31 33 35 41 50 53 55 55 53 50 50 49 47 45 41 34 25 17 13 12 13 15 18 23 27 31 34 34 34 32 32 29 25 22 20 16 15 14 14 14 14 13 10 9 9 7 6 8 8 8 6 4 3 2 1 1 2 2 2 3 4 5 6 7 8 9 10 12 14 13
1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 1 2 4 5 7 8 11 14 16 19 15 15 15 14 13 13 13 13 13 12 12 12 12 13 15 17 18 18 17 16 16 21 34 47 55 57 61 65 69 75 80 81 80 79 79 76 78 85 92 94 93 88 79 89 100 107 112 121 96 73 62 58 56 55 55 56 56 54 51 49 45 43 40 35 31 30 32 35 37 38 42 48 55 59 60 59 55 48 41 36 31 29 26 23 18 14 12 12 13 16 19 23 27 30 30 29 27 26 25 23 21 19 17 13 12 12 12 13 13 12 12 12 12 11 10 12 14 14 12 8 6 3 1 1 1 2 2 3 4 5 7 9 10 11 11 14 15 14
1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 4 3 2 1 2 3 6 9 11 14 18 22 24 23 21 20 22 21 20 18 17 16 15 14 12 15 19 22 21 22 24 27 32 42 55 63 65 64 63 62 66 77 79 78 78 81 90 95 98 100 101 102 105 107 102 105 107 107 109 110 94 73 59 57 57 59 61 61 59 54 50 46 41 35 30 27 27 31 36 41 43 44 47 52 54 54 51 47 42 37 32 25 18 16 16 17 17 15 14 13 15 19 22 24 25 26 27 26 24 24 23 21 18 13 11 10 10 11 11 13 15 15 16 17 17 17 17 19 20 22 21 19 15 11 6 4 2 2 3 4 5 7 9 10 11 12 13 14 15 14
1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 2 2 2 3 4 5 5 4 5 7 9 10 11 13 16 19 22 24 26 28 30 30 29 27 26 22 18 16 14 17 25 33 37 41 44 46 48 52 59 64 67 64 61 60 63 75 77 76 76 80 90 94 96 96 97 98 101 103 102 101 101 100 92 80 68 59 55 58 60 62 65 63 60 55 50 43 35 29 25 23 26 33 41 47 49 52 54 54 51 47 42 37 34 32 29 24 18 15 15 16 17 17 17 17 18 21 23 23 22 24 25 25 23 23 21 18 13 10 9 9 10 11 13 15 18 19 21 23 25 26 27 27 29 30 31 30 29 26 17 12 8 6 5 6 8 10 12 13 14 15 14 14 15 16
2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 2 2 3 4 5 6 7 8 9 10 12 14 17 19 20 22 25 25 27 29 32 36 29 21 18 15 16 24 35 45 49 50 49 47 49 52 56 60 60 58 57 61 71 75 76 76 81 89 93 94 92 89 89 90 92 92 91 92 94 76 65 59 59 58 60 63 66 67 64 60 55 47 38 31 26 25 26 32 40 48 52 55 56 56 51 45 40 35 32 32 31 28 23 19 17 15 14 14 15 16 18 20 20 20 20 21 22 22 23 21 18 15 13 11 11 11 12 15 16 18 21 24 27 30 32 33 35 37 38 39 39 38 36 35 33 27 21 15 12 10 10 12 13 16 17 17 17 16 15 15 15
2 3 3 3 3 4 3 2 2 2 3 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 2 3 3 5 6 7 9 11 12 14 16 18 19 20 22 24 26 28 34 32 29 26 21 18 19 24 32 38 43 46 43 44 46 49 54 55 54 55 61 70 73 74 76 83 88 90 88 84 82 82 85 88 88 88 89 89 79 68 61 61 60 62 64 66 65 60 54 46 39 33 28 25 27 31 37 46 52 54 54 49 42 35 33 33 33 32 31 29 25 22 21 20 18 17 14 13 14 16 19 20 19 18 19 19 19 18 16 15 15 14 14 16 17 19 21 23 26 29 32 35 37 39 41 43 43 43 42 41 38 34 31 27 22 17 14 10 10 11 13 14 14 14 15 15 14 15 16 16
2 3 3 3 4 4 3 2 2 3 3 3 3 2 1 1 1 2 2 2 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 2 2 4 5 7 8 10 11 12 14 15 16 18 19 21 23 25 30 33 34 34 34 28 22 19 24 33 41 44 41 41 43 47 54 54 54 56 63 71 74 76 79 82 83 81 77 71 69 71 78 85 83 82 83 83 78 67 55 55 57 59 60 61 57 52 46 40 34 28 24 24 27 32 39 47 50 50 47 42 34 30 30 32 33 30 28 26 24 23 23 22 21 19 17 15 14 15 18 19 18 17 17 18 19 16 14 14 16 16 19 22 26 27 28 30 33 36 38 41 43 44 43 42 39 35 32 30 30 27 22 17 12 7 6 5 5 6 7 7 6 7 8 9 11 13 17 20
2 3 4 4 4 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 8 9 10 11 12 13 15 16 17 19 22 23 27 30 33 35 35 32 27 24 23 24 29 38 40 40 43 48 53 53 54 57 64 71 75 77 79 78 75 72 69 67 67 69 73 80 78 75 77 75 65 52 44 47 51 55 57 56 51 46 40 34 27 23 22 26 30 35 40 45 45 44 42 39 36 35 34 32 31 29 28 26 24 24 24 23 22 20 17 14 15 15 15 16 17 16 15 14 14 15 15 15 16 19 24 28 31 31 32 34 37 41 44 46 45 41 35 28 23 21 20 23 26 19 13 9 8 6 5 5 5 4 3 1 1 2 2 5 8 12 18 24
3 4 4 4 4 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 3 5 6 7 8 9 10 10 11 13 13 15 17 20 20 23 26 29 33 32 32 34 33 31 33 36 40 40 39 41 47 51 53 55 58 66 71 73 75 73 73 72 72 72 70 70 71 74 76 75 73 67 58 45 37 39 44 48 52 55 52 47 41 35 31 27 26 26 29 34 39 42 44 44 44 43 41 39 35 32 29 28 27 27 26 24 24 24 22 21 20 18 15 15 14 12 11 14 13 11 10 12 14 16 17 19 23 28 31 32 32 33 35 40 44 46 45 40 32 23 16 11 11 13 14 16 11 6 5 7 6 6 5 4 2 1 1 1 2 2 3 4 10 16 20
3 3 4 4 4 3 2 2 2 3 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 1 2 2 1 1 1 1 1 3 4 5 7 7 8 9 10 11 12 13 15 18 20 21 22 24 27 28 28 28 29 33 36 38 39 38 38 40 47 50 53 55 60 66 70 72 72 71 72 75 78 73 71 72 74 76 77 75 67 47 38 34 34 38 43 48 51 52 48 44 39 34 30 27 27 27 31 36 39 41 43 43 43 43 40 36 31 27 24 25 25 25 25 23 22 21 21 20 19 17 15 14 13 11 11 13 13 13 14 14 15 16 16 20 25 30 34 34 35 36 38 42 43 42 37 30 22 15 9 7 7 7 7 6 5 4 5 5 6 6 6 4 2 2 1 0 0 0 2 4 6 8 11
3 3 4 3 3 4 3 3 3 3 4 4 4 3 3 2 2 3 2 2 2 2 2 1 2 2 2 2 2 2 2 3 3 3 3 3 2 3 3 3 3 3 2 2 2 3 3 5 5 6 8 9 11 12 15 18 20 21 22 22 24 26 26 26 27 29 33 36 37 36 37 42 49 52 54 55 57 63 66 68 69 67 67 67 67 69 69 69 74 76 76 72 64 39 31 29 30 32 37 44 50 52 49 44 40 33 30 28 26 25 29 33 35 38 41 42 41 40 35 30 26 22 22 22 22 22 21 21 20 20 19 17 16 16 15 13 12 12 13 13 15 16 16 15 14 15 18 23 28 33 35 34 32 33 39 40 38 33 24 18 14 11 9 8 7 6 4 4 4 3 3 4 7 9 8 6 5 4 2 2 3 4 5 6 6 7 8
4 4 4 4 5 6 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 1 2 2 2 2 2 3 3 3 3 3 2 3 3 3 3 4 5 5 5 5 4 4 2 1 1 1 3 4 7 9 11 13 16 18 20 20 20 20 22 24 25 25 26 28 32 34 36 36 38 44 50 53 55 55 56 57 58 59 60 62 64 66 70 74 71 67 72 70 65 58 52 33 23 21 24 29 36 44 51 52 48 43 38 33 29 27 25 23 26 30 34 37 40 40 37 33 29 25 22 20 20 20 20 19 20 20 19 18 17 15 13 13 13 12 11 11 12 14 15 16 16 15 16 18 23 27 30 34 33 30 28 32 37 37 33 25 18 13 9 7 9 9 8 6 5 5 3 2 1 3 7 10 9 8 8 7 6 6 8 9 10 10 9 10 11
5 4 7 8 9 10 10 8 6 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 2 2 2 3 2 3 4 4 5 6 6 6 6 5 4 3 3 3 2 2 3 6 9 12 15 18 16 16 17 18 21 23 25 24 26 28 31 34 35 36 39 44 51 55 57 57 55 53 50 48 50 57 63 68 72 69 63 56 53 49 41 31 31 24 18 14 18 25 33 41 48 49 46 41 35 30 26 24 21 22 25 29 33 37 38 37 33 29 26 23 20 19 19 19 18 20 19 18 16 15 15 14 13 12 12 12 11 10 11 13 16 15 14 13 15 19 24 28 30 30 30 29 28 30 30 28 26 20 15 11 10 9 10 10 10 8 7 6 5 3 4 6 9 9 8 7 7 6 5 6 7 9 11 12 12 13 14
5 5 7 8 10 12 13 11 9 7 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 2 2 3 4 4 5 6 6 6 6 6 6 6 5 4 4 4 3 2 4 7 11 16 18 18 18 19 19 22 26 26 26 27 30 34 35 36 39 44 49 52 55 57 54 51 47 45 50 56 62 67 66 57 47 41 37 31 23 13 11 7 5 6 10 17 26 35 42 44 41 35 29 25 23 21 21 23 26 30 34 37 37 35 31 27 24 22 20 19 18 18 17 16 15 15 15 14 14 14 13 13 13 14 13 11 10 11 15 14 14 15 16 21 25 27 28 27 26 25 23 22 20 17 15 11 9 9 11 12 13 13 12 9 8 7 7 8 9 10 11 9 7 6 5 5 5 5 5 8 10 11 12 14 14
6 5 5 6 7 10 11 10 10 8 7 6 5 5 5 5 4 4 3 3 3 3 3 2 2 2 3 3 3 3 4 3 3 3 4 4 5 5 5 5 6 6 6 5 6 6 6 6 6 5 4 3 3 3 4 12 17 20 22 23 23 25 27 27 26 27 29 33 35 36 37 39 40 43 46 48 48 47 45 46 51 58 63 65 57 49 43 39 34 28 20 13 8 5 3 2 5 12 22 32 37 37 33 28 24 22 20 19 21 24 27 30 34 35 35 33 29 25 21 20 18 17 17 17 15 14 14 13 14 14 14 14 15 15 15 15 15 16 17 16 14 14 15 18 17 19 21 21 20 19 17 14 13 13 13 10 8 7 6 6 9 12 15 17 13 10 8 8 11 14 15 14 13 10 7 6 5 5 5 5 6 7 8 9 7 8 10
6 6 5 5 5 7 6 6 6 7 7 7 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 6 7 6 5 5 6 6 5 6 6 7 7 7 6 6 5 4 4 3 2 9 15 19 21 23 25 27 27 26 26 26 28 32 35 36 36 35 35 35 35 36 40 43 44 47 54 60 64 57 50 43 37 32 26 22 18 13 9 5 2 2 5 11 19 29 32 31 27 23 19 17 17 18 20 24 28 31 33 34 33 31 27 23 19 17 16 16 15 14 13 13 14 14 14 14 14 15 14 15 16 16 15 15 15 15 13 13 15 17 19 21 21 16 13 11 9 8 6 6 5 4 3 4 4 3 6 11 16 20 16 13 11 11 13 14 15 15 13 10 7 5 4 3 3 3 3 4 5 6 4 4 5
6 5 4 5 5 6 5 5 5 6 7 7 6 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 3 2 2 7 13 19 20 17 16 18 21 23 24 24 25 27 29 31 33 32 32 33 35 37 41 44 45 48 55 58 53 47 41 35 30 27 23 18 15 13 10 7 5 4 5 9 15 25 30 30 27 21 16 14 15 18 21 26 30 31 31 31 30 27 23 19 15 14 12 12 13 12 12 12 13 12 13 13 13 14 15 17 19 17 14 13 13 13 13 14 14 16 18 18 16 14 10 9 8 8 5 3 1 1 0 0 1 2 6 10 17 20 18 14 10 9 10 11 12 12 11 8 5 4 2 2 2 5 8 8 4 5 6 8 8
6 5 4 5 5 5 5 4 5 6 5 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 4 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 3 6 10 14 17 11 9 11 18 20 22 23 23 23 24 26 27 28 29 32 35 41 45 47 47 50 54 55 44 36 31 27 25 22 19 17 16 14 12 9 7 6 6 8 13 23 28 31 30 25 20 17 16 18 20 24 27 28 28 28 26 22 18 15 13 11 10 11 11 10 11 11 11 11 11 11 11 12 14 16 17 16 13 11 11 13 13 12 10 12 15 16 14 11 9 9 10 9 6 3 2 1 1 1 3 5 10 15 20 21 20 16 9 8 9 9 9 11 10 6 3 1 1 1 5 10 12 8 3 6 12 15 7
6 5 5 5 5 5 5 4 5 6 5 5 5 6 4 5 5 5 5 5 7 10 7 6 5 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 6 6 6 7 7 7 6 6 5 4 3 3 4 4 5 5 6 9 7 5 5 13 15 16 17 19 20 21 21 22 24 26 29 35 42 47 51 51 55 54 47 38 32 27 23 17 13 11 12 14 14 13 12 10 8 7 9 16 23 29 33 32 27 22 18 16 17 19 22 24 24 24 24 21 18 15 13 11 10 9 10 10 10 9 9 9 10 10 11 10 12 14 15 15 15 14 11 11 15 18 16 13 12 11 10 11 11 10 8 10 9 7 5 3 2 2 3 5 7 11 17 21 22 20 16 13 10 9 9 7 6 5 2 1 0 1 0 4 8 11 9 13 17 18 13 6
6 5 5 5 5 5 4 5 6 6 5 5 5 6 6 6 5 5 6 8 9 9 6 5 4 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 7 7 7 6 6 5 4 4 4 4 5 5 5 5 6 5 4 2 2 11 9 6 5 8 12 15 17 19 21 23 27 33 41 47 51 53 55 52 42 34 27 20 11 7 5 5 7 10 12 12 12 10 9 9 10 15 21 28 34 31 25 20 15 14 16 19 21 21 21 21 20 18 15 13 11 11 10 9 9 8 7 7 7 9 9 9 10 11 12 12 12 14 14 15 17 18 21 24 21 14 10 8 7 8 10 13 13 12 11 9 7 7 6 6 5 6 8 12 22 27 26 19 16 12 10 10 10 8 6 5 4 2 0 0 0 1 2 2 4 6 9 12 7 4
6 5 6 6 6 7 7 7 7 7 6 5 5 5 5 4 4 5 7 10 11 8 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 5 5 5 5 4 5 6 7 7 6 5 3 1 6 6 3 1 0 3 6 9 12 12 12 15 26 33 38 38 39 40 40 37 28 19 11 5 3 2 2 3 5 8 10 11 9 8 9 10 14 20 26 31 28 23 18 13 14 16 18 19 19 19 19 17 15 13 11 10 9 9 8 8 6 6 7 8 9 10 9 11 11 9 7 9 11 14 17 22 19 17 18 16 11 9 10 8 8 10 14 12 10 10 11 12 13 12 11 10 10 12 15 20 23 23 18 15 14 14 15 13 11 9 7 7 5 2 1 1 0 0 1 2 3 4 5 5 4
6 6 8 9 9 9 12 12 11 9 7 6 5 4 4 4 4 5 7 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 6 7 7 7 6 5 3 1 1 1 1 0 0 1 3 6 8 10 13 18 22 25 26 26 29 30 30 27 21 13 6 3 1 1 1 2 4 6 9 11 10 9 8 9 12 18 24 29 27 22 15 13 15 17 18 17 17 16 15 13 11 10 9 9 9 8 8 7 6 6 7 9 8 7 8 9 9 8 7 10 12 14 15 16 15 13 11 10 8 7 8 9 9 8 10 9 9 10 16 20 22 22 19 16 15 15 16 18 19 18 16 14 13 14 14 13 12 11 10 9 7 4 2 1 1 1 2 2 3 4 4 4 5
5 5 7 10 11 11 13 14 14 12 11 9 8 6 5 5 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 5 5 6 6 6 6 7 7 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 6 5 3 1 1 0 0 0 1 2 4 7 10 12 16 21 23 23 22 22 24 25 25 24 23 18 12 5 1 1 1 1 2 3 5 7 10 9 8 7 8 13 20 27 30 27 22 16 15 16 15 14 13 12 12 11 10 9 8 8 8 8 7 6 7 7 7 6 7 8 9 9 9 9 9 11 13 14 13 12 12 12 11 11 10 9 8 9 10 10 9 10 11 12 13 19 24 26 25 21 19 17 15 14 14 15 14 13 12 12 14 14 15 16 15 13 11 8 6 3 2 1 1 2 2 2 3 4 5 5
4 4 5 8 10 11 13 14 14 12 14 13 11 9 6 6 5 4 4 4 5 5 5 4 4 3 3 3 2 3 4 4 4 5 5 6 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 4 2 1 0 0 0 0 2 4 6 9 12 14 17 19 22 24 24 24 24 25 26 26 26 25 19 12 5 1 1 1 0 1 2 4 6 7 7 7 6 9 14 20 27 30 27 21 17 16 14 13 11 10 9 9 8 7 7 7 7 7 6 6 7 8 9 9 5 5 7 9 11 11 11 11 12 13 13 13 14 14 13 12 12 11 10 10 11 11 11 10 11 14 15 16 20 23 25 24 20 17 15 13 13 13 14 13 14 15 16 18 20 22 23 22 20 17 15 12 9 6 3 2 2 1 1 2 3 4 3
5 5 4 5 7 9 12 12 12 9 9 9 8 7 6 5 5 5 5 4 4 5 4 4 3 3 3 3 4 4 4 4 4 3 4 6 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 6 5 3 2 1 0 0 1 3 5 8 10 13 17 19 20 20 21 23 24 25 26 26 26 26 24 20 15 8 3 1 0 0 0 0 1 2 4 5 6 7 8 11 16 21 27 30 27 21 18 15 12 10 9 8 7 6 6 5 5 6 6 6 6 5 5 6 6 5 4 5 7 9 11 11 11 11 12 12 11 14 14 13 12 11 10 10 9 10 11 12 11 12 15 17 18 18 20 22 23 20 17 15 15 15 15 15 15 15 16 18 19 21 24 26 26 25 23 19 19 16 13 9 6 4 2 1 1 1 1 1 1
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