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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 8 6 8 11 13 13 11 9 8 7 6 6 7 8 9 9 7 4 2 4 8 8 6 4 4 6 7 6 5 5 7 9 9 5 4 6 8 9 8 7 7 7 7 9 12 15 16 13 9 5 4 7 10 8 2 -4 -5 -2 1 2 2 3 3 5 7 7 4 2 4 3 -1 -4 -2 1 5 7 6 7 11 16 16 11 6 4 5 8 11 14 14 13 10 8 7 7 6 4 4 5 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 5 4 4 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 5 4 4 3 2 2 2 2 3 3 4 4 4 4 3 3 3 4 5 5 6 6 7 7 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 2 1 nan
nan 8 5 6 9 12 12 11 10 9 8 7 6 6 7 8 10 9 7 5 4 5 7 7 6 5 7 8 8 7 4 3 3 4 5 6 6 6 6 6 6 6 5 4 3 3 6 10 13 13 10 7 6 8 8 5 -0 -4 -2 1 4 5 6 6 6 8 10 9 5 2 2 1 -1 -1 0 3 5 7 8 11 13 14 12 8 6 5 6 9 12 15 15 12 9 7 7 7 6 4 3 4 5 7 8 8 9 8 6 6 6 6 6 6 6 7 6 6 6 5 5 5 4 4 4 5 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 7 7 6 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 2 nan
nan 6 5 8 12 12 11 9 9 9 9 9 7 6 6 8 9 8 6 5 5 5 6 6 6 6 8 11 11 8 5 3 2 3 5 8 7 6 6 6 6 6 5 3 1 1 3 6 9 11 10 9 7 8 7 5 1 -1 1 3 5 6 6 6 6 8 10 13 11 7 3 1 -1 -2 -1 1 2 5 7 10 10 10 8 7 6 6 7 10 13 16 14 10 7 6 7 7 7 5 3 3 5 7 8 9 10 9 7 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 6 6 6 6 6 7 8 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 7 8 7 7 6 5 5 5 4 5 5 5 5 5 5 4 5 4 4 3 nan
nan 6 7 10 13 13 10 8 8 9 9 10 8 5 5 7 9 7 5 5 5 5 5 5 5 6 8 10 10 8 6 5 4 6 8 9 8 7 7 7 6 5 5 3 2 1 2 3 5 8 10 10 9 8 8 6 4 3 3 4 4 4 5 5 5 6 8 12 14 12 7 3 -0 -1 -1 0 2 4 6 6 6 6 7 7 7 7 8 11 15 16 13 8 6 6 7 8 7 5 2 2 4 7 8 10 11 10 8 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 9 9 9 8 8 8 8 7 6 6 5 5 5 5 5 5 6 7 8 8 8 7 6 6 5 5 5 6 6 6 6 5 5 5 5 5 4 nan
nan 9 9 10 12 13 11 9 7 7 7 8 7 5 5 8 10 9 7 6 6 6 6 5 5 6 6 6 7 8 8 7 6 7 9 8 7 7 7 7 6 4 3 2 1 1 1 2 4 7 10 11 10 9 8 8 6 5 5 5 4 4 5 6 5 4 4 6 10 11 9 6 4 3 4 5 6 7 7 5 4 7 9 9 8 7 9 13 16 15 11 7 5 6 7 8 7 5 3 3 5 7 9 10 11 11 9 7 7 7 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 5 5 5 5 4 5 5 5 6 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 9 9 9 8 8 8 8 8 7 6 5 5 5 5 5 5 5 6 6 7 8 7 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 13 10 9 10 12 12 10 7 5 5 6 6 5 5 8 9 10 9 7 7 7 6 5 5 5 4 4 6 9 9 8 6 6 6 6 6 6 7 6 5 3 1 0 -0 -0 0 2 4 7 10 11 10 10 10 10 9 6 3 3 4 5 7 8 7 5 3 3 6 9 10 10 9 8 8 9 10 10 8 5 6 10 13 11 8 8 11 14 16 13 9 6 5 6 6 7 7 6 4 4 6 8 9 10 11 11 9 7 7 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 6 7 8 9 9 9 9 8 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 5 5 5 5 6 6 6 5 5 5 6 7 6 nan
nan 13 9 8 8 9 10 10 7 4 4 6 7 7 7 7 8 9 9 8 7 7 6 4 4 3 3 5 7 9 9 8 6 4 4 4 5 5 5 5 4 3 2 2 1 1 2 4 6 8 9 10 9 10 12 13 11 5 -1 -2 1 5 8 9 9 7 5 5 6 9 11 12 10 8 7 8 10 11 9 7 9 15 17 12 8 9 12 14 14 11 7 6 6 6 6 7 8 7 5 5 6 8 8 9 10 10 9 8 7 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 2 2 3 4 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 6 6 nan
nan 10 6 7 9 8 7 7 6 5 5 7 8 9 8 8 8 8 9 8 8 6 4 4 4 3 4 6 8 9 9 8 6 4 3 3 4 4 4 4 4 5 5 5 5 5 6 7 8 8 8 8 8 9 12 15 13 5 -3 -6 -3 4 8 9 8 6 7 8 9 9 10 11 10 6 3 4 7 9 10 10 13 18 18 13 8 9 12 14 12 9 7 6 6 6 6 7 8 8 6 5 6 7 7 8 9 9 8 8 7 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 3 3 2 2 3 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 6 6 7 7 6 6 6 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 nan
nan 5 5 8 10 9 8 7 6 5 6 8 9 10 10 9 9 8 8 8 7 5 4 5 6 5 4 5 6 7 8 8 7 5 3 2 3 3 4 4 4 4 4 5 7 8 9 9 8 8 7 7 7 8 11 14 14 8 -0 -5 -3 3 8 7 4 4 6 9 10 9 9 11 11 7 2 1 3 6 9 12 15 18 17 12 8 9 12 13 11 8 7 6 6 6 7 8 9 8 7 5 5 6 7 8 8 8 8 7 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 5 4 4 4 5 5 5 4 4 4 4 4 3 3 2 3 4 5 6 6 6 6 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 nan
nan 3 5 7 9 11 11 10 8 8 8 9 9 9 8 8 8 8 8 8 6 4 4 7 8 6 3 3 4 5 7 8 8 7 4 3 3 3 3 3 2 1 2 5 9 11 11 11 9 7 7 7 7 7 8 11 12 10 6 2 2 5 6 3 0 1 4 7 8 8 9 12 13 9 4 1 1 5 9 13 16 16 15 11 9 9 12 12 9 7 7 6 5 6 7 9 10 9 6 5 5 6 7 8 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 6 6 7 7 8 7 6 5 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 nan
nan 3 5 6 7 10 12 13 13 12 12 9 6 2 2 2 4 5 6 6 5 3 4 7 9 7 4 2 3 4 6 8 9 8 7 5 5 4 3 1 0 1 4 9 13 14 14 13 11 8 7 7 6 5 5 6 8 10 11 11 11 10 6 1 -3 -2 1 4 6 6 8 11 13 12 7 3 2 6 10 14 15 15 13 10 9 9 11 10 8 7 6 6 5 6 7 9 10 8 6 4 5 7 9 9 7 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 5 5 6 7 8 8 8 8 6 5 4 3 3 3 3 3 4 4 4 5 5 4 5 5 6 6 6 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 4 6 6 5 7 10 12 13 13 12 8 3 -0 -1 -0 1 3 4 4 3 2 3 6 8 6 3 2 3 5 6 8 8 8 8 7 6 5 3 1 1 4 9 14 17 17 15 14 13 10 7 6 5 3 3 4 6 9 12 15 15 13 9 3 -2 -3 -1 2 3 4 5 8 11 12 10 6 4 7 12 14 14 13 12 10 9 10 11 10 8 6 5 5 5 6 7 9 9 7 5 4 6 9 11 11 8 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 9 8 7 5 5 4 4 3 3 4 4 4 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 4 6 6 5 5 7 8 8 8 8 7 6 5 3 2 2 3 4 4 3 2 3 6 8 6 2 2 3 5 7 8 8 8 8 7 6 5 2 2 3 6 11 16 17 16 13 13 13 10 7 5 4 4 4 4 5 7 10 12 12 12 11 8 4 2 1 1 1 2 4 6 9 12 12 8 5 8 12 14 14 12 11 10 9 10 11 9 7 6 5 5 5 6 7 8 8 6 4 5 8 11 13 11 8 7 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 9 8 7 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 6 6 5 6 6 4 2 2 4 9 12 11 8 6 5 5 5 4 4 3 4 8 10 7 1 0 3 5 6 7 8 8 8 8 6 4 2 2 4 6 10 14 14 11 10 10 11 9 7 6 6 6 5 4 4 5 7 8 7 8 12 14 13 11 8 5 3 3 4 5 7 11 13 10 7 8 12 14 14 12 10 9 10 10 10 8 7 6 5 5 6 7 8 8 7 5 4 6 9 11 12 10 8 7 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 8 8 9 8 8 7 7 7 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 nan
nan 8 7 6 5 6 6 4 1 1 4 9 13 13 11 9 8 6 5 5 4 3 4 8 12 9 1 -2 0 3 4 5 6 7 8 7 6 3 1 2 4 6 9 10 9 6 5 6 7 7 8 8 8 7 6 4 4 5 7 7 6 7 10 14 16 16 14 11 8 6 4 3 4 7 12 12 9 9 12 14 14 11 9 9 10 10 9 8 7 6 5 5 6 8 9 8 6 5 5 6 9 11 11 9 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 7 7 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 nan
nan 11 10 9 7 6 7 6 4 3 5 8 11 11 11 9 8 6 5 5 5 4 3 6 10 11 5 -2 -3 -2 -0 1 3 4 6 5 4 1 1 3 6 7 7 6 5 3 2 3 4 5 7 8 9 9 7 4 3 5 6 7 7 7 8 9 11 12 13 13 11 9 5 1 -0 2 7 11 12 13 14 15 13 10 9 9 9 9 9 8 7 6 5 5 6 8 8 8 7 6 7 7 9 10 11 10 8 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 4 3 3 4 5 6 6 7 7 7 7 7 7 7 7 7 7 8 9 8 7 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 5 5 nan
nan 11 12 11 9 7 7 7 5 4 6 8 9 9 9 8 7 5 4 5 6 4 1 2 7 10 9 5 0 -2 -2 -1 1 2 4 4 2 1 2 5 7 7 7 5 3 2 2 2 3 4 6 7 9 9 8 5 3 4 5 6 6 6 6 6 5 6 8 10 11 10 6 2 -0 1 5 9 13 15 15 14 11 9 8 8 8 9 9 8 7 6 5 4 5 6 7 7 7 8 9 9 9 10 12 11 9 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 4 4 3 4 4 5 6 7 7 7 7 7 7 7 7 8 9 10 12 12 10 7 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 nan
nan 10 10 8 7 7 8 8 6 5 5 7 8 8 7 7 7 6 4 5 6 5 2 2 4 8 10 11 8 5 2 2 3 4 5 5 4 4 4 5 6 6 6 5 4 4 4 5 5 5 6 6 7 9 9 6 3 3 4 5 6 7 7 6 5 4 5 7 9 10 8 6 5 5 8 11 14 15 14 12 9 8 8 7 8 8 9 8 7 5 4 4 4 5 6 7 8 9 10 9 8 8 11 12 10 7 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 4 3 3 4 5 5 6 7 7 7 7 7 8 8 10 12 14 17 18 15 10 6 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 nan
nan 9 7 5 4 6 8 9 8 5 5 5 5 5 5 5 6 6 4 4 6 7 6 5 5 6 9 11 11 10 8 7 7 8 9 9 8 7 6 4 4 4 5 6 6 7 7 7 7 7 7 5 5 8 10 7 3 2 4 4 5 6 7 7 7 6 7 6 7 8 10 11 11 12 13 14 15 14 12 10 8 8 7 7 7 8 9 9 7 5 4 4 4 5 7 8 8 8 9 8 7 7 10 12 10 8 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 4 4 4 4 5 5 6 6 6 7 7 9 11 14 17 20 23 23 20 14 8 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 nan
nan 9 9 7 5 6 7 9 8 7 5 3 1 1 2 3 4 4 4 4 6 8 9 8 7 7 7 6 7 8 9 10 11 11 11 11 10 9 7 4 3 3 5 7 8 8 7 7 8 8 7 5 6 9 12 8 4 4 5 5 5 5 6 7 8 9 8 6 5 6 10 13 14 14 14 14 14 12 10 8 8 8 8 7 7 8 9 9 8 6 4 4 5 6 7 7 7 7 7 6 6 6 8 10 10 8 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 7 9 13 18 23 26 28 27 23 16 10 6 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 nan
nan 8 11 11 9 7 7 7 8 8 7 4 1 1 2 3 3 4 4 5 5 7 8 8 7 6 4 2 2 4 6 8 10 11 11 10 9 9 8 6 4 4 5 6 7 7 6 5 6 7 7 6 8 12 13 9 6 6 6 5 5 5 7 8 8 8 6 4 4 7 11 13 13 12 12 13 12 10 8 8 8 8 8 7 7 7 9 9 8 7 5 5 6 6 7 6 5 5 5 5 6 6 7 8 9 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 5 9 14 20 26 31 33 30 24 16 10 6 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 nan
nan 5 10 13 12 9 7 6 5 6 7 6 4 3 4 4 4 5 5 5 5 6 6 6 6 5 4 5 7 8 9 9 9 10 10 8 8 8 9 8 7 4 3 4 5 6 5 4 5 6 7 9 11 13 11 8 7 6 6 5 6 7 7 7 6 3 1 1 5 10 13 13 11 10 10 11 10 8 7 8 9 9 8 8 7 7 8 9 9 8 6 6 6 6 6 5 5 4 4 5 6 7 7 7 7 6 7 7 7 7 6 6 6 6 6 6 5 5 5 6 6 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 3 2 1 2 4 7 12 19 27 33 35 32 24 15 9 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 6 6 6 7 7 7 8 8 8 nan
nan 2 7 11 13 11 8 5 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 8 12 16 17 16 14 11 10 9 8 7 7 8 9 8 6 5 5 6 7 6 6 6 6 8 10 12 10 8 7 7 6 5 5 7 9 9 7 5 2 1 3 7 12 14 12 10 10 11 11 10 7 7 8 10 9 9 8 7 6 7 8 9 9 8 7 7 6 5 5 5 5 4 5 8 9 8 7 6 6 6 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 3 2 1 1 3 5 9 15 24 31 35 31 22 14 8 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 3 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 nan
nan 2 4 10 13 12 8 5 3 3 4 5 6 7 8 8 8 6 6 6 6 6 7 7 7 8 12 15 17 18 18 17 15 12 10 8 6 5 6 7 8 8 8 8 8 9 9 9 9 9 9 10 9 7 7 8 7 5 3 4 7 9 10 10 7 5 4 6 9 11 12 11 11 11 13 12 10 7 7 9 10 9 9 8 7 6 6 8 9 10 9 8 7 6 5 5 6 6 5 6 7 9 10 10 8 6 5 6 8 9 10 9 9 8 7 7 6 6 6 6 6 6 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 3 2 1 2 3 6 10 18 26 31 29 21 13 8 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 10 nan
nan 3 5 9 12 11 8 5 4 4 6 7 8 10 11 10 8 6 5 5 5 6 7 8 8 9 11 12 13 14 16 18 17 14 10 8 5 3 3 5 7 8 8 8 9 8 9 10 11 11 10 9 7 6 8 9 7 3 2 3 6 8 10 9 8 7 7 8 9 9 10 10 11 12 14 13 10 7 7 8 9 9 8 8 7 6 6 8 10 11 10 9 7 6 4 4 6 7 7 6 6 8 11 12 10 7 5 6 8 9 10 9 9 9 8 7 5 5 5 6 6 6 5 4 4 3 3 3 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 3 2 2 2 2 3 7 12 20 26 27 21 14 8 5 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 9 9 10 9 9 9 9 nan
nan 6 6 9 10 10 8 5 5 6 8 9 10 12 12 11 8 6 5 5 5 6 7 8 9 9 9 9 9 11 14 16 16 13 8 5 4 3 3 5 6 6 7 7 7 7 7 9 10 12 11 9 6 6 8 9 6 2 1 3 5 5 5 4 4 5 7 9 9 9 10 10 11 13 15 14 11 8 7 8 9 9 8 8 7 7 7 9 11 11 11 9 8 6 3 2 5 7 7 6 5 7 10 11 11 8 6 6 8 9 8 8 9 10 9 6 5 4 5 5 6 5 4 4 3 3 3 4 4 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 4 8 13 20 23 21 16 10 6 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 6 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 nan
nan 8 8 8 9 8 7 5 6 8 11 11 11 10 10 9 7 5 5 5 6 6 8 9 9 10 9 8 7 8 12 14 13 9 5 3 3 4 5 6 6 6 6 6 6 6 6 7 9 11 12 10 8 7 8 8 5 2 1 3 4 3 2 1 3 6 9 10 10 9 9 10 11 14 16 15 11 8 7 7 8 8 8 8 8 8 8 9 11 12 11 10 9 7 4 2 3 5 6 6 6 7 8 9 10 9 7 7 8 8 7 7 8 10 9 7 5 4 4 5 6 5 4 3 3 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 3 3 4 4 5 5 4 3 2 3 3 3 3 2 2 2 3 4 7 12 18 20 19 15 11 9 8 6 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 9 9 9 nan
nan 9 8 7 8 7 6 5 7 11 14 14 11 8 6 5 5 5 5 6 6 7 8 9 9 9 9 8 7 6 9 10 8 4 2 2 3 5 7 8 8 7 6 6 6 6 6 6 7 9 11 12 11 10 8 7 5 4 3 4 4 4 3 4 6 9 10 10 9 7 7 9 13 16 18 15 11 7 6 7 7 8 8 8 8 8 8 9 11 12 12 11 10 8 6 3 2 3 4 5 6 7 7 9 10 10 8 7 8 8 7 7 7 8 8 7 6 4 4 5 6 5 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 3 3 3 3 3 3 4 5 6 5 4 3 2 2 3 3 3 3 3 3 2 2 3 5 11 16 19 19 18 16 15 13 11 10 11 11 9 7 7 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 9 nan
nan 9 8 8 8 7 6 5 6 10 14 15 12 8 5 4 4 4 5 6 6 6 6 7 8 8 6 6 6 6 7 8 6 2 0 1 4 6 8 8 7 6 5 5 6 7 7 6 5 6 9 13 14 11 7 6 5 5 4 4 5 7 8 9 11 11 10 8 6 5 5 9 13 17 18 15 11 7 6 7 8 8 9 9 8 8 8 9 10 11 11 11 11 9 7 5 2 1 2 4 6 7 8 10 11 10 8 7 8 8 8 7 6 6 6 6 6 4 4 6 7 6 5 4 4 4 4 5 6 6 6 5 5 4 3 3 3 3 3 2 3 3 4 5 6 6 6 5 4 3 3 3 3 3 3 3 4 4 3 2 2 5 8 13 16 17 17 16 15 15 15 16 14 10 8 8 7 6 6 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 nan
nan 10 9 9 9 8 7 5 5 7 11 14 13 10 7 6 5 5 5 5 5 4 4 5 6 6 6 6 7 7 8 8 6 4 2 3 6 8 9 8 6 4 3 5 7 8 8 6 3 3 7 14 14 9 5 4 4 4 4 4 5 8 10 11 11 10 8 6 4 4 6 10 13 16 17 16 11 7 6 7 8 9 9 8 8 8 8 8 8 9 9 10 11 11 9 6 3 2 2 4 6 7 8 9 11 10 9 8 7 8 9 8 7 5 6 6 6 5 5 7 8 7 5 5 5 5 5 6 6 6 6 6 5 3 3 3 3 3 3 2 2 3 4 5 6 7 6 6 5 4 3 3 3 3 4 4 5 5 5 4 3 2 3 5 8 10 12 12 11 12 14 14 11 8 7 6 6 6 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 12 11 11 11 11 nan
nan 10 9 9 9 9 7 5 3 4 8 11 12 11 9 7 6 6 6 6 4 2 2 3 5 6 7 8 8 7 7 8 8 7 7 7 8 9 9 8 5 2 1 3 6 8 8 5 2 2 7 14 12 7 3 2 2 2 3 4 5 6 8 9 8 7 5 4 3 4 7 10 12 15 17 17 12 7 7 8 9 8 8 8 8 7 7 7 7 7 8 9 10 11 10 8 5 4 3 4 6 7 6 7 9 10 10 8 7 7 9 9 8 6 6 6 6 6 6 8 9 8 7 7 5 5 6 7 7 7 6 6 5 4 3 4 4 3 3 2 2 2 3 5 6 7 7 7 6 5 3 2 2 3 4 5 5 5 5 5 4 2 1 1 1 3 4 5 5 5 8 9 7 4 3 3 3 4 5 5 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
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nan 4 4 4 5 5 6 8 10 12 12 10 7 6 8 10 9 7 5 3 2 2 4 9 16 21 23 22 20 16 12 6 -1 -5 -4 -1 2 4 8 10 10 10 9 9 9 9 7 6 5 4 3 2 2 3 4 5 6 7 8 9 9 10 11 12 13 12 12 12 13 14 13 12 12 12 12 13 13 13 12 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 8 8 9 10 10 8 6 5 6 7 8 8 6 5 5 8 10 11 11 11 11 11 11 11 12 12 13 12 11 10 9 8 6 6 6 6 7 7 8 8 7 6 5 5 6 6 6 5 4 3 4 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 nan
nan 5 4 4 4 5 6 7 10 11 10 7 4 4 7 8 7 4 2 1 1 2 4 8 12 17 20 20 18 13 8 1 -4 -4 -3 -2 -4 -5 -3 -1 -0 0 1 2 4 6 6 6 5 4 2 2 2 3 4 5 5 5 5 5 6 7 9 11 13 13 13 12 12 13 13 12 11 11 12 13 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 10 9 7 5 5 6 7 7 7 6 5 6 8 10 11 11 10 10 10 11 12 12 12 12 11 11 10 8 5 3 4 6 7 7 7 6 6 5 5 6 6 5 4 3 2 2 3 5 7 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 8 8 9 8 7 7 7 7 7 6 7 8 8 7 nan
nan 6 5 4 4 4 4 5 7 8 7 4 2 2 4 6 6 5 3 2 2 4 6 8 11 14 18 18 16 10 3 -3 -6 -3 -0 0 -1 -3 -4 -3 -3 -3 -2 -1 1 4 6 7 6 5 4 4 5 6 6 6 6 6 5 5 5 6 8 10 12 13 13 13 12 12 12 11 11 11 12 13 12 10 9 8 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 10 10 8 7 6 6 6 6 7 7 7 7 7 8 9 10 10 10 10 10 11 12 12 12 12 12 11 10 7 4 4 6 8 9 9 7 5 4 4 6 7 6 4 2 2 3 4 5 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 5 6 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 8 8 7 8 7 7 6 6 7 7 7 7 nan
nan 6 4 4 4 3 2 3 4 6 5 2 1 1 3 5 7 7 6 6 7 9 11 13 15 16 17 18 14 8 -0 -6 -7 -4 1 5 7 8 8 6 4 3 3 4 6 7 9 9 9 8 8 8 8 8 8 7 7 7 6 6 7 7 9 10 12 12 13 13 12 11 10 10 10 11 12 12 11 9 8 8 8 9 9 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 10 9 9 8 7 6 6 6 6 7 8 8 8 8 9 9 10 10 10 10 11 12 12 12 12 12 11 10 8 7 7 9 10 11 9 7 5 4 5 7 8 6 3 2 3 5 6 7 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 8 8 9 9 9 7 6 6 6 7 7 7 7 7 8 8 9 9 9 8 7 7 6 7 7 7 7 8 8 7 6 6 6 7 7 7 nan
nan 5 3 4 5 4 2 1 3 4 4 3 2 3 4 6 7 9 9 9 10 12 16 18 18 17 16 16 13 6 -2 -5 -5 -1 5 12 18 21 20 18 15 13 12 13 14 15 15 14 13 12 11 11 10 10 9 8 8 7 7 8 9 10 11 11 12 13 13 13 12 11 10 10 10 11 12 12 11 10 8 7 8 8 9 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 10 11 10 9 8 6 5 5 6 6 7 8 8 8 8 8 9 10 10 10 10 11 12 11 11 10 10 10 10 9 9 10 10 9 8 8 7 6 6 7 9 9 7 3 3 5 7 8 8 9 9 8 7 7 7 8 8 8 8 8 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 8 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 6 6 7 7 8 8 8 7 6 6 7 8 8 8 nan
nan 4 3 4 6 5 3 0 1 3 5 6 6 6 7 7 9 9 9 8 9 11 13 14 13 12 12 13 10 4 -2 -3 -0 4 10 17 23 27 28 25 22 20 19 19 19 19 19 17 15 13 12 12 11 10 9 9 8 8 8 9 11 11 12 11 12 13 13 13 13 12 11 11 12 12 12 12 11 10 8 8 8 8 8 8 8 9 9 10 9 9 8 8 9 9 9 8 8 8 9 10 10 10 11 11 10 9 7 6 5 5 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 9 10 10 11 11 11 11 10 8 5 5 6 7 7 7 8 9 8 5 4 5 8 9 10 10 11 11 10 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 7 6 6 7 8 9 9 8 7 6 6 8 9 9 8 nan
nan 5 4 5 8 7 4 1 1 3 5 7 8 9 9 9 9 9 8 7 7 7 6 5 4 4 6 8 7 2 -1 -1 1 4 8 13 19 23 25 24 21 19 18 17 17 16 15 14 13 12 11 10 10 9 9 8 8 8 9 10 11 12 11 10 10 11 11 12 13 13 13 13 12 12 11 11 11 10 9 8 8 8 8 9 9 9 10 10 9 8 8 9 10 10 10 9 8 8 9 10 10 10 11 11 10 8 7 6 5 5 6 6 7 8 9 9 8 8 9 10 10 11 11 10 9 9 10 10 11 12 12 12 10 8 5 4 5 7 9 8 7 7 6 6 4 5 8 10 12 13 14 13 12 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 9 9 9 9 7 6 7 8 8 9 8 7 6 6 7 8 8 8 8 nan
nan 8 7 8 9 8 6 4 4 4 5 7 8 8 7 6 6 7 7 6 5 4 3 2 1 2 3 5 4 2 1 1 1 1 1 2 5 9 12 12 10 9 9 8 7 7 6 6 7 8 8 8 7 7 7 7 8 8 10 10 10 9 8 8 8 9 10 11 13 13 13 12 12 11 11 11 11 10 9 8 8 8 9 9 9 10 10 10 9 9 9 10 10 11 10 9 8 8 9 9 10 10 10 10 9 8 7 7 6 6 6 7 7 8 9 9 8 8 9 10 11 11 11 10 9 10 11 11 12 12 11 10 9 7 6 6 7 9 10 8 7 6 5 6 6 9 11 13 14 14 14 12 11 10 11 11 11 10 9 9 9 9 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 6 6 7 7 8 8 7 7 7 7 8 8 8 8 9 9 10 9 8 7 7 7 8 9 9 8 6 7 7 8 8 8 8 nan
nan 11 10 10 10 9 7 7 7 7 7 9 8 5 2 1 1 2 3 4 4 4 4 4 5 6 7 6 5 4 4 4 3 0 -3 -6 -6 -4 -3 -2 -2 -1 -1 -1 -1 -1 -0 1 3 5 6 6 6 6 6 7 8 9 9 8 7 7 6 6 7 9 11 12 13 12 11 11 11 11 11 11 11 10 9 8 8 8 9 9 9 10 10 10 9 9 9 10 11 11 10 9 9 8 8 9 9 10 10 10 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 10 11 11 10 10 9 10 11 11 11 10 9 8 7 8 8 9 9 10 9 7 6 6 7 9 10 12 14 14 13 12 10 9 8 9 10 10 9 8 9 9 9 9 8 9 9 10 9 8 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 10 10 9 8 7 7 8 9 9 8 7 7 7 8 8 9 10 nan
nan 11 11 11 10 8 6 8 9 11 12 11 9 4 1 -0 -0 0 1 2 3 4 5 6 7 9 9 8 7 6 6 7 6 4 -0 -3 -4 -4 -4 -3 -2 -2 -1 -1 -0 1 2 4 5 6 7 7 8 8 8 9 10 10 9 7 6 6 6 6 7 9 12 13 13 12 11 10 10 10 11 11 11 10 9 8 9 9 9 9 10 10 10 10 9 9 9 10 11 11 11 10 9 9 8 9 9 10 10 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 8 7 7 8 9 10 10 10 10 9 8 8 9 10 12 14 15 15 13 11 8 6 6 6 7 7 7 6 8 10 10 10 9 8 9 9 9 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 8 9 9 10 9 8 7 7 8 9 9 8 8 8 8 9 10 11 11 nan
nan 10 10 9 8 7 7 9 12 14 14 13 9 6 5 5 5 4 4 5 6 7 7 7 6 8 8 6 6 6 7 8 9 10 9 8 8 10 11 12 12 11 9 8 8 9 10 10 11 11 10 10 11 11 11 12 13 12 11 9 8 8 8 8 8 10 13 13 12 11 10 10 11 11 11 12 11 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 8 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 7 9 10 10 11 10 10 10 10 11 12 13 14 14 14 13 10 8 6 5 6 7 7 6 6 7 10 11 10 9 8 8 9 9 8 7 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 7 6 7 8 9 9 8 8 8 9 9 10 11 11 nan
nan 11 9 7 6 7 9 12 15 16 15 13 12 11 10 11 11 10 9 8 8 7 7 8 8 7 7 5 4 4 6 8 10 12 15 17 20 23 26 28 28 25 21 17 16 16 16 15 15 14 13 13 13 13 13 13 13 13 12 11 11 10 10 10 11 12 13 13 13 12 11 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 10 11 11 11 10 10 9 9 10 10 11 11 10 10 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 6 7 8 9 10 10 10 10 10 11 11 12 12 12 12 11 10 9 7 6 6 7 7 7 7 8 8 9 10 9 7 6 7 8 9 9 8 7 7 7 7 8 9 8 8 8 7 7 7 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 7 6 7 8 8 8 8 7 8 9 9 10 11 10 10 nan
nan 12 8 7 8 9 11 14 15 15 15 16 16 14 12 12 12 12 11 8 7 6 6 7 8 8 8 7 5 5 6 7 9 10 12 16 20 24 28 30 29 27 23 20 18 17 17 16 15 14 13 13 13 13 14 13 12 11 11 10 10 10 11 12 12 13 13 14 14 14 14 14 13 13 13 13 12 11 9 9 9 9 9 9 10 11 11 11 10 10 10 11 11 11 10 10 10 10 10 11 11 12 11 11 10 10 9 9 7 7 7 8 8 8 9 10 10 11 11 11 11 11 11 10 9 7 6 5 5 6 7 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 8 9 9 9 8 6 5 6 8 9 9 9 9 9 8 9 9 10 10 9 8 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 10 9 8 6 7 7 8 8 8 7 7 8 9 10 11 11 10 10 nan
nan 10 8 10 12 12 11 10 10 11 13 15 15 12 10 9 10 9 8 7 6 5 4 5 6 8 10 10 10 9 8 8 9 9 9 11 13 15 16 17 16 15 15 15 14 14 14 13 13 13 12 12 12 13 13 12 11 11 10 10 10 10 11 12 12 13 14 14 15 15 15 15 14 14 14 13 12 11 10 9 9 10 9 10 10 11 11 10 10 10 11 12 11 10 10 10 10 11 11 11 12 12 11 10 10 10 10 9 8 7 7 7 8 8 9 10 10 11 11 11 11 11 10 9 7 6 5 5 5 6 7 9 10 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 8 9 9 10 9 9 8 9 10 11 11 10 10 9 9 9 9 10 10 9 8 7 6 6 6 5 5 6 7 7 8 7 7 7 7 7 7 8 8 8 8 9 10 10 9 7 7 7 8 9 9 8 7 8 9 10 11 11 10 9 9 nan
nan 10 10 15 18 15 10 5 1 2 6 8 9 8 8 8 8 8 8 7 6 4 4 5 7 9 11 12 12 11 10 9 8 9 9 8 7 5 4 3 3 3 6 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 15 15 16 16 15 14 13 13 14 14 13 11 10 9 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 11 11 11 11 12 12 11 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 7 6 5 5 5 6 6 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 10 11 11 11 12 12 11 11 10 9 9 8 9 9 9 9 8 7 7 7 6 6 5 5 6 7 7 7 7 6 6 6 7 7 8 8 8 8 9 10 11 9 8 8 9 10 10 9 8 8 8 9 9 10 9 8 8 8 nan
nan 15 16 20 21 17 10 2 -3 -3 1 4 5 5 6 7 8 9 9 8 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 8 6 3 2 2 3 3 5 6 6 7 7 7 8 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 13 14 15 16 16 15 14 13 12 13 13 13 13 12 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 7 6 5 5 6 6 7 8 10 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 nan
nan 16 18 19 19 16 9 3 -1 -1 1 4 5 5 5 6 7 9 10 9 8 9 10 10 9 8 6 5 6 7 9 10 12 12 11 11 10 9 10 12 11 10 9 9 8 7 7 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 12 13 15 16 16 16 14 13 13 13 13 13 12 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 10 10 10 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 9 8 8 9 10 9 8 7 7 8 8 8 8 8 8 8 8 nan
nan 9 12 13 14 12 9 6 4 4 4 6 7 8 7 7 7 9 9 9 8 8 8 7 6 5 4 5 7 10 11 13 14 14 14 16 17 18 20 20 18 16 13 12 11 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 12 13 15 16 16 15 15 14 14 13 13 13 12 11 11 11 12 12 12 12 11 10 10 10 10 11 11 10 10 10 10 11 11 11 10 9 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 11 11 11 10 10 8 7 8 8 8 8 9 9 10 10 11 12 12 11 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 8 8 8 9 9 7 6 6 7 8 8 9 9 9 9 9 9 nan
nan 1 3 6 8 10 9 9 8 7 6 7 9 9 8 8 8 9 9 8 7 6 4 3 3 3 4 7 10 12 13 14 15 16 18 22 25 26 25 22 19 16 15 13 12 11 11 10 9 9 10 10 11 12 12 12 11 10 10 9 9 10 11 12 13 13 14 15 15 15 15 14 14 13 13 12 12 11 11 12 12 12 12 12 11 11 10 11 11 11 11 10 10 10 11 11 11 10 9 8 8 8 9 10 10 9 9 8 9 9 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 9 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 6 6 6 7 8 8 7 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 10 10 9 8 8 8 8 8 6 6 6 7 8 9 8 9 9 9 9 9 nan
nan -1 0 3 6 8 9 8 7 7 6 6 7 6 6 7 8 8 7 6 5 4 3 3 3 3 4 7 9 11 12 13 15 17 21 26 29 28 25 20 16 15 14 13 13 12 11 10 10 10 11 11 12 12 12 12 11 10 10 9 9 9 10 12 13 13 14 15 14 14 14 14 14 14 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 9 9 10 10 11 10 9 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 9 10 11 11 11 11 11 10 9 8 8 7 7 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 7 7 7 6 7 7 8 8 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 nan
nan 0 1 3 5 7 8 7 6 5 5 4 4 4 4 5 7 6 4 2 2 2 3 3 4 5 5 5 5 6 8 10 12 14 16 20 21 20 17 14 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 10 10 10 9 9 9 10 11 12 13 14 14 15 14 14 14 14 14 14 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 11 11 11 9 8 7 8 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 11 11 11 11 10 9 9 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 7 8 8 8 8 7 6 6 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 nan
nan 2 2 3 5 7 7 5 4 3 3 3 3 3 4 5 6 7 5 3 2 2 2 3 5 5 5 5 5 6 6 5 5 5 6 7 7 8 8 8 8 8 10 11 12 12 12 12 11 11 11 10 10 10 9 9 9 8 8 9 9 10 12 13 14 14 15 15 14 14 14 14 14 14 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 9 7 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 9 8 8 7 7 7 7 8 8 9 10 10 9 9 10 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 7 7 8 8 9 8 7 7 7 6 6 6 7 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
682 619 394 166 51 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 9 31 103 243 194 170 171 163 170 165 135 113 22 0 0 0 0 19 61 75 89 190 494 848 1043 1078 1057 1105 1168 1202 1305 1481 1610 1649 1604 1522 1398 1241 1111 992 840 711 651 607 554 489 447 420 389 341 289 242 196 150 113 89 75 61 51 40 24 22 21 23 20 17 16 18 24 29 30 29 32 38 35 28 23 20 23 26 32 42 52 62 75 88 97 101 99 95 84 74 69 71 76 81 85 85 82 78 73 68 61 53 52 53 58 63 72 87 98 103 105 103 101 103 102 98 97 107 120 122 110 104 100 98 98 102 107 113 121 132 150 173 189 192 168 162 165 155 135 114 99 93 92 90 84
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54 27 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 23 47 55 40 19 6 2 1 0 0 0 1 2 2 5 16 52 173 449 776 952 953 913 916 958 1015 959 866 937 1108 1252 1300 1209 1114 1014 972 948 886 794 666 628 620 662 682 657 590 485 361 249 172 126 96 74 59 47 35 23 15 10 4 6 8 10 12 15 16 17 18 20 22 18 10 6 8 11 13 16 26 36 42 42 41 40 43 52 66 75 72 63 65 71 75 77 74 67 62 61 58 52 47 44 43 49 61 71 82 91 95 95 96 96 96 103 109 116 121 120 106 94 85 72 66 65 68 67 61 58 59 63 68 73 73 69 64 61 59 56 53 51 49 46 43 39 37
58 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 2 1 0 0 0 0 0 0 2 4 3 3 17 68 222 559 854 913 847 836 899 976 1022 938 836 886 1038 1172 1218 1136 1049 992 992 994 930 809 693 682 716 752 758 709 593 443 305 207 151 115 86 69 56 42 31 24 12 2 1 6 8 11 11 10 11 14 18 22 23 17 9 11 18 22 20 19 24 34 38 35 33 33 36 46 60 66 68 58 59 67 73 69 60 54 55 57 54 47 43 40 43 50 67 84 101 124 138 138 135 136 138 136 129 127 121 109 90 78 69 59 55 57 62 63 61 57 54 56 57 56 57 57 56 53 50 45 40 36 33 33 31 27 25
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