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 13 13 13 12 12 12 11 10 10 9 7 6 6 6 6 6 6 6 6 6 6 5 4 4 6 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 6 4 3 4 6 7 7 7 7 7 6 6 6 6 6 7 7 9 9 7 6 7 8 8 8 7 6 6 6 8 9 9 9 9 9 9 9 9 10 9 8 7 7 6 7 8 9 9 8 7 7 8 9 9 8 8 8 7 5 6 7 8 9 10 10 10 10 10 9 8 7 8 9 9 8 7 6 6 5 5 5 5 6 7 7 6 6 6 6 7 9 10 10 9 8 7 7 6 7 8 9 10 9 9 9 9 9 9 10 10 9 7 7 7 8 8 8 9 11 12 12 12 11 10 9 8 8 8 7 8 8 8 9 9 8 8 7 7 7 7 8 9 8 7 7 nan
nan 11 11 12 12 12 12 12 12 12 11 11 10 9 9 8 8 7 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 7 5 5 6 7 7 6 5 4 4 5 6 7 7 8 7 7 7 7 7 7 6 7 8 8 8 7 6 6 7 7 7 6 5 5 6 7 8 9 9 10 11 10 9 10 10 9 8 7 6 6 7 8 8 7 7 7 8 8 8 8 9 9 7 5 5 6 6 7 8 9 9 10 10 9 8 7 8 9 9 8 7 7 7 7 8 8 8 8 8 7 6 6 6 6 7 8 9 10 10 9 7 7 7 7 8 9 9 9 9 9 10 10 10 11 12 11 10 10 9 8 6 4 7 9 10 10 10 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 9 10 9 8 7 nan
nan 9 9 10 11 12 13 13 13 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 9 8 8 9 9 9 9 8 7 7 8 8 7 6 7 7 7 7 6 6 5 5 5 6 7 8 8 7 8 8 8 8 7 7 8 8 8 7 6 5 6 7 7 7 6 6 6 6 7 7 8 10 11 10 9 10 11 10 9 8 7 7 7 7 8 8 8 8 9 9 9 8 9 10 8 6 5 5 5 5 6 7 8 9 10 9 7 6 7 8 9 9 8 8 8 9 9 8 8 8 8 7 7 7 6 6 7 8 9 9 9 9 8 7 7 8 10 10 9 8 8 8 9 10 12 14 15 15 14 13 12 10 6 3 5 6 7 7 6 5 6 6 8 8 8 8 7 7 7 8 8 8 8 7 5 5 7 8 10 10 9 8 nan
nan 8 9 10 11 12 13 13 13 12 12 12 11 11 10 10 10 9 9 8 8 8 8 8 9 10 10 9 9 9 9 7 6 6 8 9 8 7 7 7 7 5 5 7 8 6 4 4 6 8 8 8 9 9 9 8 8 8 8 8 7 7 6 5 6 7 8 8 7 7 7 7 8 8 8 9 10 10 9 9 10 10 10 9 7 7 7 7 8 8 9 9 10 10 10 10 11 11 10 9 7 6 5 4 4 6 8 9 10 9 7 6 6 7 9 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 12 13 13 11 9 8 8 9 11 13 15 16 16 14 12 11 10 8 6 5 5 5 4 3 3 4 6 7 8 9 8 8 7 7 7 7 8 8 7 5 5 6 7 9 10 9 9 nan
nan 9 10 10 11 12 13 13 13 12 11 11 11 10 9 9 9 9 9 8 8 7 7 7 8 9 9 10 10 9 8 7 4 5 8 10 9 7 6 6 6 4 4 7 9 8 5 4 6 9 9 9 9 9 9 8 8 8 8 7 7 8 6 5 5 7 9 9 8 8 9 9 10 9 9 9 9 10 9 8 8 9 10 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 10 9 7 6 4 4 6 7 9 9 10 9 7 6 7 8 10 11 12 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 10 13 14 15 15 13 12 11 10 11 11 12 12 12 11 9 9 9 10 10 9 8 7 5 4 4 4 5 5 6 7 8 8 8 8 8 8 7 7 7 7 6 5 5 6 8 10 10 10 nan
nan 10 11 11 12 12 13 13 12 12 11 11 11 10 9 8 8 8 9 9 8 7 6 6 7 8 9 10 10 10 9 7 5 4 7 9 9 7 6 5 4 3 4 7 9 8 6 5 7 9 10 8 8 9 9 9 8 8 7 7 7 8 7 5 4 6 8 10 10 10 10 11 11 10 9 9 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 9 8 7 6 6 5 6 7 8 9 10 10 9 7 7 7 8 10 11 12 11 10 10 9 9 10 10 11 11 11 11 10 10 10 10 9 8 8 10 12 14 14 13 14 14 14 13 11 9 7 5 5 5 6 7 9 10 10 10 10 10 8 8 7 7 6 6 6 6 7 7 8 9 9 9 8 7 6 6 6 5 5 6 8 10 11 10 nan
nan 11 11 11 11 12 12 12 11 11 11 11 10 10 9 9 8 9 9 9 9 8 7 7 6 7 8 10 11 11 11 10 8 7 8 9 9 7 6 4 3 3 4 6 7 7 7 8 9 10 10 9 8 9 9 9 7 7 7 8 8 9 8 7 6 7 9 10 11 9 9 10 10 10 9 8 9 11 11 11 11 11 10 10 11 11 10 9 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 7 6 6 7 8 9 10 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 8 9 10 10 9 9 11 13 14 13 11 7 4 2 3 4 6 8 9 10 10 10 10 10 10 10 10 8 7 6 6 6 5 5 6 7 8 8 8 7 6 6 6 6 6 7 9 10 11 10 nan
nan 11 11 11 10 10 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 7 8 9 10 11 12 12 12 11 9 9 9 9 8 7 5 3 3 4 4 5 6 8 10 10 8 9 9 9 9 9 9 7 8 9 9 9 10 10 10 9 9 9 10 9 8 7 8 9 9 8 8 9 10 11 12 12 11 11 12 12 12 10 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 9 9 10 10 10 9 8 7 7 7 8 9 10 11 12 12 11 11 11 12 11 10 9 8 8 9 9 9 9 8 9 9 9 8 6 6 8 11 12 11 10 7 6 5 6 7 8 9 9 8 8 8 9 9 10 10 9 8 7 7 7 6 5 4 4 4 5 5 6 6 6 6 6 7 8 8 9 10 10 10 nan
nan 12 11 10 9 9 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 10 10 9 8 8 9 10 10 11 11 12 11 10 10 10 10 9 8 6 5 4 4 3 4 7 10 11 9 7 7 8 8 9 9 8 7 8 10 10 9 10 11 11 11 10 10 10 9 8 7 8 8 8 9 10 10 11 11 12 12 11 12 13 14 13 12 11 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 12 11 11 10 9 8 9 9 9 10 11 12 12 12 12 12 12 11 10 9 8 9 9 9 8 7 8 9 11 11 8 6 5 7 10 11 10 9 8 8 8 8 8 8 8 7 6 6 7 7 8 9 9 8 8 7 7 7 6 5 4 3 3 2 3 4 6 6 6 6 8 9 9 10 10 10 10 nan
nan 12 12 11 10 10 10 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 11 10 9 8 7 6 5 4 3 4 7 10 10 9 7 6 6 6 8 10 9 7 7 8 8 8 8 9 10 10 9 9 9 9 9 8 8 8 8 9 10 11 11 12 12 12 12 13 15 15 15 14 14 13 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 9 9 9 10 11 10 9 7 8 9 11 12 9 7 7 8 10 11 10 9 9 8 8 7 7 8 7 6 5 5 6 7 8 8 8 8 9 9 9 8 6 5 4 4 3 3 3 4 6 6 6 6 7 9 9 10 10 10 10 nan
nan 12 11 11 11 11 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 9 9 9 10 9 9 9 9 8 7 7 7 8 10 11 11 9 8 7 7 6 4 2 3 6 9 10 9 7 5 5 6 8 10 9 6 4 3 4 4 5 6 7 7 8 8 8 9 9 9 9 9 8 8 8 10 11 11 12 12 13 13 14 14 15 15 15 15 15 14 14 14 13 13 12 12 12 12 11 11 11 12 12 12 12 12 11 10 9 7 6 6 7 8 9 9 10 10 10 10 11 11 11 10 9 8 8 9 10 11 11 11 10 9 8 8 9 9 9 8 8 8 9 10 10 10 10 10 9 8 7 8 8 7 6 6 6 8 8 8 8 8 8 9 10 7 5 4 3 4 4 4 4 5 6 7 7 7 7 8 9 9 9 10 10 nan
nan 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 7 7 8 10 11 11 10 9 7 7 7 5 2 2 4 8 10 9 6 4 5 6 7 9 10 7 3 0 -1 0 3 5 6 6 6 7 7 8 9 10 11 10 9 7 6 7 8 10 11 11 11 11 12 13 14 14 15 15 14 14 14 13 12 12 12 12 13 13 12 12 11 12 12 12 11 11 9 8 7 6 5 6 7 9 9 9 9 8 8 9 9 10 9 8 7 7 8 9 10 11 11 11 11 10 9 8 8 8 9 8 8 8 8 8 9 10 11 11 11 9 8 9 9 10 10 9 9 10 10 10 8 7 7 9 9 7 5 3 2 3 4 5 5 6 6 7 7 6 7 7 7 7 8 8 9 nan
nan 8 8 8 9 9 10 9 7 6 6 6 6 6 6 7 7 6 6 7 7 7 7 8 10 11 11 11 11 10 9 8 7 7 9 11 11 11 9 8 7 7 6 4 3 5 7 9 8 5 4 5 6 7 9 10 9 5 1 -2 -1 2 4 5 4 5 6 7 8 10 11 12 11 9 6 5 6 7 9 10 10 10 9 10 11 12 13 13 13 13 13 13 12 11 11 11 12 13 13 12 12 12 12 11 11 11 11 10 9 8 8 8 9 10 10 10 10 8 7 6 6 7 8 8 7 7 8 9 10 11 11 10 10 10 11 12 11 10 9 9 9 8 8 8 7 8 9 10 12 12 11 10 10 10 11 12 12 12 13 12 11 8 7 6 8 8 7 6 4 3 3 4 5 6 6 6 5 5 6 6 7 6 6 6 6 7 nan
nan 7 7 7 8 9 10 9 8 7 6 6 6 5 5 6 6 6 7 7 8 8 8 9 9 11 12 12 12 12 11 10 9 8 9 9 10 10 10 9 7 6 7 7 7 7 8 9 9 6 4 5 7 8 9 11 11 8 4 1 -0 2 5 5 4 4 6 8 11 11 11 11 9 8 7 7 8 8 9 10 10 9 8 8 8 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 13 13 13 12 12 11 10 9 7 6 6 6 7 7 8 8 9 10 10 10 10 9 9 10 12 14 12 10 9 9 9 9 9 8 8 7 8 9 11 12 11 10 10 10 11 11 12 13 12 11 9 7 6 6 7 8 8 7 6 5 4 5 6 7 7 6 5 4 5 6 7 6 5 5 6 6 nan
nan 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 8 9 10 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 9 10 10 9 8 7 7 8 9 9 8 9 9 7 5 6 8 9 11 12 12 10 7 4 3 3 5 6 5 5 6 9 12 12 10 8 7 7 8 9 9 9 10 11 11 8 6 6 7 8 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 8 8 8 8 10 11 13 14 14 14 14 13 11 10 9 9 9 9 8 8 8 8 8 9 10 11 11 11 10 9 8 8 10 12 13 12 9 8 9 9 10 10 10 9 8 8 8 10 11 11 10 9 9 9 9 10 11 11 10 9 7 6 6 7 8 9 9 9 7 6 5 5 6 6 6 5 4 4 5 6 6 5 5 6 7 nan
nan 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 12 13 14 13 11 10 10 10 10 10 10 10 11 12 12 11 10 9 9 10 9 8 8 8 9 8 8 8 7 6 5 6 7 9 11 13 13 11 8 6 5 5 5 6 7 8 8 10 11 11 9 8 7 8 9 10 8 9 10 11 9 7 5 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 12 12 12 11 9 8 7 8 9 9 10 11 11 10 10 10 11 12 12 12 11 11 10 9 8 9 10 12 11 10 8 8 9 10 11 10 9 9 8 8 9 9 10 10 9 9 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 8 7 6 5 5 5 6 4 4 3 3 4 5 5 5 6 7 nan
nan 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 9 9 9 10 12 14 15 15 14 12 11 10 9 9 9 9 9 10 12 12 11 10 9 9 10 9 8 8 8 8 7 7 6 6 5 5 5 7 11 15 13 9 6 6 7 6 5 7 9 10 10 10 10 10 9 9 8 9 9 9 9 10 10 8 6 5 7 8 8 8 8 8 8 8 9 9 10 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 7 6 6 7 9 10 11 12 13 13 13 13 13 13 12 12 11 11 11 10 9 9 9 10 10 11 11 10 9 8 9 10 10 9 9 8 8 8 9 9 9 9 9 8 7 7 8 8 10 11 13 13 13 12 11 11 10 9 9 8 7 6 5 4 4 3 3 2 2 2 3 4 5 6 7 nan
nan 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 9 8 7 8 9 11 13 14 15 14 13 11 10 9 9 9 8 9 11 12 11 10 9 9 9 9 9 9 8 8 8 7 7 7 6 5 5 7 11 14 11 7 5 7 8 7 5 6 8 10 10 10 10 10 10 9 9 9 8 8 9 10 9 7 4 4 6 8 7 6 5 5 6 6 7 9 9 9 9 9 9 10 10 11 11 11 12 11 11 10 10 10 10 9 8 7 6 7 9 11 12 13 14 14 15 15 15 15 14 12 11 11 10 10 10 10 10 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 13 15 15 14 13 11 10 8 8 8 7 7 6 5 4 3 2 2 1 1 1 3 4 6 7 nan
nan 11 10 9 9 9 8 9 9 10 10 9 9 9 9 9 8 6 5 5 6 8 10 12 13 14 15 14 13 12 11 10 10 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 8 11 13 10 6 5 7 10 10 7 6 6 7 8 9 10 10 10 9 9 8 7 7 8 9 9 7 4 2 4 5 5 4 3 4 4 5 6 7 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 8 7 7 8 10 12 13 14 14 14 14 14 15 14 13 13 12 11 11 11 11 11 11 10 8 8 9 10 11 11 10 9 9 9 10 10 10 10 10 10 9 9 8 7 7 6 5 6 7 8 9 11 13 15 15 14 13 10 9 8 7 7 7 7 6 5 5 4 4 3 2 2 3 4 5 6 nan
nan 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 6 4 3 4 5 7 9 11 13 15 16 16 15 14 12 11 11 11 12 11 11 10 9 9 9 10 10 10 10 10 10 10 9 7 6 6 7 9 10 8 6 5 6 9 11 9 7 5 5 6 7 8 8 9 10 9 8 6 5 7 9 10 8 4 2 3 4 4 4 4 4 5 5 5 5 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 10 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 11 10 9 8 8 9 11 11 10 10 10 10 11 11 11 11 11 11 10 9 8 7 5 5 5 5 6 7 8 10 11 12 13 14 14 12 11 9 8 8 8 8 7 6 6 7 7 6 5 4 4 5 5 5 nan
nan 9 8 8 8 8 8 9 9 9 9 9 10 10 11 10 9 7 5 3 3 4 6 7 9 11 13 15 16 16 15 14 13 12 12 12 12 11 10 9 9 10 10 10 10 10 11 11 11 9 7 5 5 5 6 8 7 6 5 6 8 10 10 8 6 5 4 5 5 7 9 10 10 8 5 5 7 9 9 7 4 3 4 5 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 9 10 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 12 11 9 8 8 9 10 11 11 11 12 12 12 11 11 11 11 11 10 9 8 7 6 5 5 6 6 7 8 9 10 10 10 11 12 12 12 11 10 10 10 9 8 7 7 8 8 8 7 7 6 6 5 5 nan
nan 9 8 8 8 9 9 10 10 10 10 11 11 12 12 12 11 10 8 5 4 5 6 7 8 9 10 12 14 15 15 14 13 13 12 12 12 11 10 9 9 9 10 10 10 10 11 11 11 10 8 7 6 5 5 7 7 7 7 7 8 9 10 9 7 4 3 4 5 6 9 10 10 7 5 6 9 9 8 6 4 4 5 6 7 8 8 8 7 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 8 9 9 9 10 10 10 10 10 10 11 12 12 13 13 12 10 9 10 11 11 12 11 12 12 12 12 11 10 10 11 10 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 11 11 11 10 10 10 9 8 8 7 7 8 8 8 8 8 7 6 6 nan
nan 9 8 9 9 10 10 10 11 11 12 12 12 13 13 13 12 12 10 9 7 6 7 8 9 9 10 10 11 13 14 14 13 13 12 12 12 11 10 9 9 9 10 10 10 10 10 11 12 11 10 8 7 7 8 9 9 9 10 9 9 9 10 9 7 5 4 4 5 7 8 9 9 7 6 8 9 8 6 4 3 4 5 6 7 8 9 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 10 9 8 9 9 9 9 9 10 10 9 9 10 10 10 10 11 11 11 11 11 11 13 13 12 11 12 12 12 11 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 8 7 7 nan
nan 9 9 9 9 10 10 10 11 11 12 12 13 13 13 12 12 12 12 11 10 9 8 9 9 10 10 10 10 11 12 13 13 13 13 12 12 11 10 10 10 9 9 10 10 10 10 10 11 12 11 9 8 8 11 13 13 12 12 11 11 11 10 9 7 5 5 5 6 7 7 7 7 6 6 8 8 7 5 3 3 5 6 7 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 12 11 11 11 11 11 11 10 10 10 10 9 8 9 11 11 12 11 11 11 10 10 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 8 8 8 nan
nan 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 11 12 12 12 11 11 10 9 10 10 10 10 10 11 12 12 12 13 13 12 11 11 10 11 11 10 10 11 11 10 9 10 10 11 11 9 8 8 10 14 15 15 14 13 13 12 12 10 8 7 5 5 6 7 7 6 5 5 6 6 6 4 3 3 4 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 8 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 11 9 9 9 10 11 10 10 10 10 9 8 8 9 10 11 12 12 12 11 11 10 9 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 nan
nan 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 11 11 12 12 13 13 12 11 10 10 10 10 11 12 12 12 11 10 9 9 9 10 9 9 8 10 12 13 14 15 14 13 12 12 12 11 10 8 7 7 8 7 7 6 5 5 4 3 2 2 3 5 7 8 8 8 7 7 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 7 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 13 12 12 11 10 10 10 10 9 9 9 10 11 10 10 10 9 9 8 8 8 10 11 11 12 12 12 11 10 10 10 10 11 10 10 10 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 8 nan
nan 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 12 12 11 10 9 9 9 10 11 12 12 12 11 10 9 8 8 9 10 10 11 11 10 10 10 11 11 11 11 13 15 15 13 11 9 8 8 9 8 6 3 1 2 3 4 5 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 11 11 10 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 9 8 9 9 10 11 11 11 11 10 10 11 11 11 11 10 10 10 9 9 10 10 11 10 10 9 9 8 8 9 9 9 8 8 7 8 8 nan
nan 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 11 11 12 12 12 11 11 10 9 8 8 8 9 10 11 11 11 10 9 8 7 7 9 11 12 12 10 8 6 6 8 9 11 15 18 19 17 14 10 8 9 12 12 9 3 1 2 5 6 7 8 9 8 7 6 6 7 8 8 8 8 8 9 9 8 9 9 10 10 8 7 7 8 9 9 9 9 10 10 10 10 11 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 11 11 10 9 9 8 8 9 10 11 12 12 13 12 12 11 11 11 11 11 11 10 9 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 nan
nan 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 9 8 8 8 10 12 14 14 12 8 6 6 8 11 14 17 18 17 14 11 10 12 14 16 11 5 3 4 6 7 7 9 9 9 7 6 7 8 8 8 9 9 9 10 9 9 10 11 11 11 9 8 9 10 11 11 11 11 10 10 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 7 8 8 9 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 nan
nan 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 12 12 11 11 11 12 12 12 12 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 16 18 17 14 10 8 9 10 11 12 13 14 13 12 12 13 16 16 12 7 6 7 8 8 8 10 11 9 8 7 8 9 9 9 9 9 10 10 10 10 11 12 12 10 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 10 9 9 8 9 9 9 8 8 7 8 8 9 8 8 8 7 7 nan
nan 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 13 12 12 11 11 11 11 12 13 13 12 13 16 18 19 17 15 13 12 10 8 8 10 12 13 13 12 13 14 13 10 9 11 11 11 11 11 12 12 10 8 8 9 9 10 10 10 10 10 11 11 11 12 12 10 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 7 6 6 7 8 9 9 10 10 11 11 11 10 11 11 11 11 11 11 11 10 10 10 11 10 10 10 9 9 8 8 8 9 9 10 10 11 12 12 11 11 10 10 10 9 9 9 10 10 9 8 7 6 6 7 7 8 8 7 6 nan
nan 7 8 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 13 14 13 13 12 12 11 11 12 12 12 12 12 14 15 16 17 18 17 15 12 9 9 10 13 14 13 11 10 11 11 11 12 14 15 15 13 12 11 11 10 9 9 9 9 9 10 11 11 10 11 12 13 13 12 10 9 8 8 8 9 10 10 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 11 10 11 11 11 11 11 11 11 11 10 9 7 5 5 5 5 6 7 7 7 7 nan
nan 8 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 12 13 13 13 13 13 14 14 13 13 12 12 11 11 11 11 11 11 12 13 13 13 13 13 12 11 11 11 11 11 11 12 12 13 15 17 18 17 14 12 12 12 13 13 11 10 9 11 12 13 15 16 17 16 13 11 9 9 10 10 10 9 8 9 11 11 11 10 11 13 13 13 11 10 9 9 9 9 9 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 9 10 11 11 11 12 12 11 11 11 11 10 9 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 9 7 5 5 5 5 5 6 6 7 7 nan
nan 9 10 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 13 12 11 11 11 10 11 11 12 12 13 13 13 13 12 11 11 10 10 10 10 10 10 11 12 14 16 16 15 14 13 13 13 13 11 11 11 13 14 15 16 17 16 14 11 9 8 8 9 10 10 9 9 11 12 11 10 10 12 13 13 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 10 10 10 10 11 11 12 11 11 10 10 8 7 7 7 7 7 7 8 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 9 8 7 6 6 6 6 6 7 7 7 nan
nan 9 10 11 11 10 9 9 8 9 9 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 14 14 13 11 11 10 10 10 11 11 11 12 12 13 13 12 12 11 10 10 11 10 10 10 10 10 12 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 14 13 11 9 9 9 9 10 10 10 11 12 13 12 10 9 10 12 13 12 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 8 7 7 8 9 11 11 10 9 9 10 11 10 10 9 8 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 7 7 7 8 8 8 nan
nan 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 15 15 15 15 14 13 12 10 10 9 9 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 9 9 10 11 12 13 13 13 13 13 14 15 15 14 13 12 11 11 11 10 10 9 9 9 9 9 10 11 12 13 13 11 10 9 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 8 7 7 8 10 12 11 10 9 9 10 10 10 9 8 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 nan
nan 10 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 14 15 16 16 16 16 15 14 12 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 12 12 12 12 12 13 12 12 11 10 9 9 9 9 9 10 9 9 8 9 11 12 13 13 11 10 9 10 11 13 12 11 10 9 9 9 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 8 7 7 9 11 11 10 9 9 9 10 11 10 9 8 7 7 8 8 9 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 10 10 10 10 nan
nan 9 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 14 15 16 17 17 17 17 15 13 11 10 9 8 8 8 9 9 9 9 10 10 11 11 12 11 11 10 9 8 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 12 13 12 11 11 12 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 8 8 10 11 10 9 9 9 10 11 10 9 8 7 7 8 8 9 9 9 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 12 11 10 nan
nan 8 7 7 7 7 6 6 6 6 6 6 7 8 9 9 10 11 11 11 11 12 12 12 12 12 12 13 14 15 16 17 18 18 18 17 15 13 11 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 12 13 13 12 12 12 12 13 13 12 11 11 10 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 8 9 9 8 7 8 9 10 10 9 8 8 8 9 10 10 10 10 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 12 11 nan
nan 7 6 6 6 6 6 5 5 5 5 6 6 7 7 8 9 10 11 11 12 12 12 12 12 12 13 13 14 14 15 15 16 17 18 18 17 15 13 11 10 10 9 10 10 10 10 10 9 10 10 11 11 11 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 11 11 11 11 10 9 9 8 8 9 10 12 13 13 13 12 11 11 11 11 11 10 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 10 10 9 9 9 9 10 10 10 11 11 11 10 9 9 10 11 10 9 9 9 8 8 8 9 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 12 11 nan
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nan 15 16 17 18 19 19 18 16 15 15 15 14 14 14 13 13 12 12 12 12 12 12 12 13 14 14 13 13 12 12 11 10 10 10 10 11 11 10 9 8 7 6 5 6 7 8 8 9 9 8 8 9 9 9 9 9 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 13 16 18 18 14 10 8 7 8 7 7 5 3 -1 -2 0 4 7 7 6 6 8 10 11 11 10 9 8 8 8 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 9 nan
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nan 14 14 13 13 13 14 15 16 15 15 14 14 14 14 13 13 12 12 12 11 11 12 12 13 13 13 13 13 12 12 11 10 10 10 10 10 11 11 11 9 8 8 7 7 7 8 8 8 9 8 7 7 8 9 10 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 12 12 12 12 11 11 11 12 13 13 16 19 22 22 17 12 9 9 8 7 6 4 2 1 2 2 3 4 7 9 11 11 11 10 9 8 8 9 10 10 9 9 10 10 11 12 11 11 10 8 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 8 nan
nan 14 13 12 12 12 13 14 15 16 15 14 13 13 13 13 12 12 12 12 11 11 12 12 13 13 13 13 13 12 11 11 10 10 10 10 10 11 11 10 9 8 8 8 7 7 8 8 8 9 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 15 18 23 24 19 14 10 9 8 7 6 5 4 3 2 2 3 5 8 10 11 11 11 10 8 8 8 9 11 11 10 9 10 11 12 13 12 12 11 10 8 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 8 8 7 7 8 8 nan
nan 13 13 12 12 12 13 14 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 11 13 17 23 24 20 15 11 8 8 7 7 6 5 4 3 2 4 6 8 10 11 11 12 11 9 7 7 8 10 11 10 9 9 11 12 12 12 12 12 12 10 9 8 7 6 7 7 8 8 9 9 9 9 9 9 8 7 8 8 9 10 10 10 10 9 9 8 7 7 7 8 8 nan
nan 12 12 12 12 12 13 14 15 15 15 14 13 12 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 10 10 11 10 9 9 10 11 16 21 23 20 16 11 7 7 7 7 6 6 4 3 3 5 7 9 10 10 11 12 11 11 8 7 7 8 9 9 9 10 10 11 12 12 12 12 12 12 12 11 9 8 8 8 9 9 9 10 11 11 11 10 9 8 8 8 9 10 10 10 10 9 9 8 7 7 7 8 8 nan
nan 11 11 12 12 13 13 14 14 14 14 14 13 11 11 10 10 10 11 12 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 8 9 10 11 11 10 9 9 9 10 9 9 8 7 7 7 7 9 9 9 9 8 8 9 11 14 18 20 20 18 12 7 7 7 7 7 6 5 3 3 5 7 8 9 9 10 11 12 11 9 7 7 8 8 9 9 10 10 11 11 11 11 12 12 13 13 13 12 11 9 9 9 10 11 11 12 12 12 11 10 9 8 8 8 9 10 10 10 9 9 7 6 6 7 7 8 nan
nan 10 10 11 12 12 13 13 13 13 13 13 12 12 11 11 11 11 12 13 13 13 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 11 11 10 9 9 10 10 10 9 8 7 7 6 7 8 8 8 8 8 8 9 10 13 16 18 20 18 12 8 8 7 7 7 7 6 5 4 5 7 8 8 9 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 11 12 13 14 14 13 12 11 10 10 11 12 12 13 13 13 12 11 10 9 8 8 8 9 9 9 8 7 6 6 5 6 6 7 nan
nan 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 12 13 13 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 12 13 13 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 8 8 8 9 11 11 11 10 10 10 10 10 10 9 9 8 7 6 6 6 7 8 8 8 8 8 9 9 12 15 17 19 18 13 10 8 7 8 8 7 7 6 5 5 6 7 8 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 13 13 12 11 11 11 12 12 13 14 14 13 13 12 11 9 8 8 8 8 8 8 7 6 5 5 4 4 5 7 nan
nan 11 11 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 13 14 14 13 12 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 12 12 14 15 16 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 9 10 11 11 10 9 9 10 10 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 9 10 12 14 16 17 17 14 12 9 8 7 7 7 7 6 4 3 4 6 8 10 10 9 9 10 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 13 13 13 13 12 12 11 9 8 8 8 8 8 7 6 5 5 5 5 5 6 8 nan
nan 11 11 11 10 10 10 11 11 11 10 10 10 9 10 10 11 13 14 14 14 14 13 11 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 12 13 13 13 15 15 16 16 15 14 13 12 11 11 11 11 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 10 9 8 8 9 10 11 11 10 9 9 10 10 10 10 9 9 8 7 6 6 6 7 7 8 8 9 9 9 10 11 14 15 14 15 15 14 12 10 8 7 7 7 7 6 3 2 2 4 8 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 12 12 12 12 12 12 11 11 10 9 8 8 8 9 9 8 7 6 6 7 7 8 9 10 nan
nan 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 12 13 14 14 14 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 11 12 13 14 14 14 14 14 14 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 8 7 7 6 6 6 6 7 8 9 10 10 10 10 13 15 15 14 13 12 12 12 12 10 9 7 7 6 5 2 1 0 3 7 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 nan
nan 10 10 11 10 10 10 10 10 10 9 9 9 9 10 11 12 13 14 13 13 13 13 12 11 10 9 8 8 8 9 8 8 9 8 9 9 9 11 12 14 14 14 14 14 13 13 13 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 10 10 11 10 11 10 10 10 10 10 11 11 11 10 10 10 10 9 9 8 8 8 8 7 7 6 6 6 6 7 9 10 11 11 11 12 13 14 14 13 12 10 9 10 12 13 11 9 7 6 5 3 1 -0 2 5 8 9 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 9 8 9 9 10 11 11 11 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 13 13 13 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 12 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 8 8 8 8 8 7 7 7 6 7 7 8 9 11 12 12 13 13 13 12 13 14 14 10 7 8 11 14 13 10 8 6 5 4 2 1 1 4 6 7 8 7 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 9 10 11 11 10 9 9 9 10 10 10 10 10 10 11 11 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 13 13 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 10 8 7 8 9 9 9 8 7 7 8 8 8 8 7 7 6 7 8 8 9 11 12 13 14 14 13 12 13 15 15 11 8 7 9 13 14 12 9 7 6 5 4 3 2 3 4 6 6 4 4 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 nan
nan 10 9 10 10 10 10 10 9 9 9 8 9 10 10 11 12 12 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 8 9 10 11 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 10 11 11 9 8 7 7 9 9 9 8 7 7 8 9 9 8 7 6 6 7 8 9 10 11 12 12 13 14 13 12 13 15 15 13 11 9 10 12 12 11 10 8 7 7 6 5 5 4 4 5 4 2 2 2 2 4 5 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 11 12 13 13 nan
nan 10 10 11 11 10 9 9 9 9 8 8 9 9 10 11 11 11 11 12 11 11 11 11 10 10 9 9 9 8 8 9 9 9 10 12 13 15 16 15 15 14 13 12 12 11 11 11 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 10 10 9 9 9 10 10 10 10 9 9 10 11 10 9 8 7 8 9 9 9 8 8 8 9 9 9 8 8 7 6 7 8 9 10 10 11 12 12 12 12 12 12 13 14 14 15 14 13 12 11 10 9 9 8 8 8 7 6 5 5 4 3 1 0 -1 -0 2 4 5 7 8 8 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 8 8 9 9 9 10 10 11 13 14 15 15 14 nan
nan 11 11 11 11 11 10 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 10 12 13 15 17 17 16 15 14 13 12 12 11 11 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 9 9 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 12 13 16 18 17 14 12 11 10 10 9 9 9 8 7 6 4 4 3 2 0 -1 -2 0 2 4 6 7 7 8 8 9 10 10 10 9 9 8 8 8 7 8 8 8 9 9 10 11 12 13 13 13 13 12 11 10 10 10 10 10 11 13 15 16 17 16 15 13 nan
nan 11 11 12 11 11 10 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 8 8 8 9 10 12 14 16 17 16 15 14 13 12 12 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 7 7 8 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 11 15 18 18 17 16 15 14 13 12 12 11 9 7 6 5 4 4 4 2 0 -1 -1 1 4 7 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 9 9 10 11 11 12 12 13 13 13 13 12 11 10 10 10 10 11 13 15 17 17 17 15 14 13 nan
nan 12 11 11 11 11 10 9 9 9 8 8 8 8 9 9 10 11 11 11 11 12 12 12 11 11 11 10 9 8 8 7 8 9 11 14 15 15 15 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 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 9 8 6 6 7 8 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 9 9 9 8 8 9 10 10 11 11 11 11 11 10 10 10 9 9 9 12 14 16 17 17 17 17 16 17 17 15 11 9 7 7 6 6 6 5 3 1 1 1 4 8 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 10 10 11 12 13 15 17 17 16 15 14 13 12 nan
nan 13 12 12 12 11 11 10 9 9 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 11 11 10 9 8 8 7 7 8 10 12 13 14 14 13 13 12 12 11 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 8 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 11 13 14 16 16 16 17 19 21 19 15 13 12 12 11 10 9 8 7 6 6 6 8 10 11 12 11 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 9 8 8 8 8 8 9 10 10 10 11 12 13 15 16 17 17 16 15 14 13 13 13 nan
nan 13 13 13 13 12 11 10 9 8 8 8 7 7 7 8 8 9 10 11 12 12 12 12 12 11 11 10 9 9 9 8 8 8 9 10 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 11 11 10 10 10 10 9 10 10 10 10 11 12 12 11 10 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 12 13 13 13 15 18 20 20 17 15 15 16 17 15 14 12 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 10 9 9 8 8 8 7 7 7 8 9 10 11 12 13 13 14 15 16 17 17 17 16 15 14 14 13 13 12 nan
nan 13 13 13 13 12 11 10 9 8 7 7 7 6 6 7 7 8 10 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 11 11 10 10 10 10 10 9 9 9 10 11 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 13 15 17 16 15 14 15 16 17 17 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 9 9 9 9 10 10 11 12 12 12 13 13 14 14 15 15 15 15 14 14 13 13 13 13 12 12 nan
nan 12 13 12 12 11 10 9 8 7 6 6 6 6 7 7 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 9 9 8 9 11 11 10 10 9 10 11 11 9 8 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 12 12 12 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 9 10 10 10 11 12 13 13 14 13 13 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 12 12 11 10 9 8 7 7 6 6 6 7 7 8 8 9 10 10 11 12 12 12 12 12 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 11 10 10 10 11 11 11 11 11 10 10 10 11 11 10 9 8 10 11 11 10 9 9 11 12 11 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 11 11 12 13 13 13 12 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 12 11 10 9 8 7 7 6 7 7 7 7 8 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 12 11 10 9 10 11 12 11 10 8 8 8 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 9 8 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 nan
nan 12 11 10 9 9 8 7 7 7 8 8 8 8 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 11 11 12 13 13 12 11 10 10 12 12 11 9 9 8 9 10 11 11 11 10 10 9 10 11 12 12 12 10 9 9 9 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 12 13 13 12 11 10 8 5 4 4 4 6 7 8 9 10 10 10 10 10 10 11 12 12 11 10 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 nan
nan 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 11 11 10 9 9 9 10 10 10 11 11 10 10 10 11 11 11 10 10 9 9 9 10 11 12 13 13 12 11 10 10 11 11 10 9 8 9 10 11 12 13 13 11 9 9 9 10 11 12 12 12 11 10 10 10 9 8 6 5 6 7 9 10 11 11 11 10 10 11 11 10 10 10 10 9 9 9 10 11 12 14 16 16 15 12 10 8 5 3 1 1 2 3 4 6 8 9 9 8 8 9 11 13 14 12 9 6 5 6 8 9 9 8 8 8 8 8 8 8 9 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 12 12 12 nan
nan 10 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 12 12 12 13 13 13 13 12 13 13 13 13 12 12 11 10 9 9 9 9 10 10 11 11 11 10 11 11 11 10 10 9 9 9 9 10 11 12 12 13 12 11 10 10 10 10 9 8 8 9 10 11 12 14 15 13 11 9 8 8 8 10 11 13 14 14 13 12 9 6 4 2 3 5 8 9 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 12 14 17 19 19 17 14 11 9 7 6 4 2 1 1 1 2 5 7 7 7 6 7 9 13 14 12 9 4 3 4 7 8 9 9 8 8 8 8 8 9 9 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 11 11 nan
nan 9 7 6 6 6 7 8 9 10 10 10 10 10 9 9 9 9 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 10 11 12 12 11 10 10 10 10 10 10 9 9 9 10 10 11 14 16 17 15 13 10 7 5 6 8 11 15 17 17 15 11 7 5 3 2 4 7 9 10 10 9 9 9 9 10 10 11 12 10 9 8 8 10 13 15 18 20 20 17 14 11 10 9 8 7 6 4 3 3 3 5 6 7 6 5 5 8 11 12 10 7 4 3 5 6 8 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 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 6 6 5 6 7 8 9 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 10 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 9 9 10 12 14 17 18 18 16 11 7 5 5 8 13 17 17 15 12 9 7 5 5 6 7 9 9 8 7 7 6 6 8 10 13 14 13 11 9 8 9 11 13 16 18 18 16 14 12 11 10 10 9 9 8 7 6 6 6 7 7 7 6 6 7 9 8 6 4 2 4 5 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1086 1148 1202 1269 1345 1373 1375 1391 1435 1492 1536 1540 1509 1488 1473 1459 1455 1477 1495 1457 1403 1338 1279 1238 1206 1159 1108 1160 1198 1209 1220 1240 1241 1238 1228 1171 1088 1025 1031 1101 1098 1054 979 867 751 662 607 569 534 491 452 409 366 330 298 260 228 207 200 206 218 232 258 263 281 279 257 223 186 162 150 141 164 185 195 190 161 127 120 147 172 170 142 110 98 102 114 118 116 114 111 105 89 72 72 82 96 110 117 124 136 158 168 158 146 154 170 180 207 202 185 170 162 158 147 148 155 156 148 136 124 102 93 74 55 49 52 50 44 40 38 37 39 43 49 54 61 65 47 26 9 2 4 9 8 23 36 50 66 77 74 65 53 37 21 9 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
1042 1132 1203 1276 1360 1374 1376 1390 1420 1461 1504 1537 1551 1543 1536 1550 1580 1601 1592 1541 1493 1449 1392 1312 1205 1084 1055 1171 1249 1284 1299 1307 1302 1274 1201 1114 1057 1003 976 1009 1027 985 933 842 735 651 607 567 524 474 442 418 387 349 311 283 265 252 250 265 287 300 307 313 317 312 292 253 204 176 150 139 158 184 217 252 255 204 175 172 211 226 190 145 120 115 115 117 126 137 148 163 156 140 128 130 141 151 147 142 163 197 205 194 191 204 203 192 198 189 178 174 173 167 157 150 155 152 138 127 126 106 91 80 70 65 62 53 55 50 46 46 47 50 55 61 68 76 70 56 38 22 9 9 6 19 35 50 69 94 103 96 83 65 42 21 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
1037 1153 1249 1327 1386 1400 1415 1429 1451 1485 1523 1541 1555 1597 1631 1654 1673 1687 1667 1623 1599 1588 1543 1449 1330 1233 1195 1233 1311 1360 1369 1358 1337 1275 1149 1107 1101 1052 993 998 975 930 882 815 731 658 611 566 521 473 441 426 416 398 366 330 316 306 308 321 334 342 357 379 379 354 324 282 227 199 167 159 169 191 233 287 314 255 235 206 248 285 256 197 151 143 134 123 124 140 161 182 187 175 160 156 172 193 181 176 210 248 257 244 227 215 220 209 196 185 180 181 182 179 175 155 142 126 110 112 125 126 113 100 89 78 64 54 56 58 54 53 55 55 58 62 70 79 82 74 56 33 16 5 6 15 27 41 62 96 113 114 103 83 56 30 10 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
1039 1150 1237 1298 1325 1394 1456 1473 1482 1516 1560 1566 1605 1630 1687 1741 1766 1758 1729 1704 1716 1721 1679 1567 1436 1374 1354 1343 1375 1414 1429 1410 1368 1306 1162 1150 1154 1118 1065 1032 972 888 824 781 730 672 621 583 532 485 449 430 423 416 398 364 357 357 369 379 381 386 415 448 439 378 334 318 292 263 254 262 273 283 294 305 309 281 254 253 290 315 295 248 196 183 171 158 153 163 181 199 210 214 215 205 207 236 246 270 286 289 281 263 236 203 211 200 188 178 171 168 170 178 172 136 114 102 94 96 117 128 124 111 97 85 70 56 61 68 62 57 60 61 64 67 69 71 73 74 65 44 22 8 6 10 17 28 44 70 90 96 86 64 38 17 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1041 1127 1198 1258 1302 1353 1414 1451 1471 1516 1576 1573 1639 1695 1740 1759 1762 1763 1769 1752 1762 1764 1705 1574 1434 1373 1379 1366 1373 1425 1472 1475 1435 1394 1291 1228 1191 1146 1088 1025 948 851 785 756 740 711 664 615 555 506 471 449 436 427 418 399 400 413 434 438 423 424 486 516 507 424 381 391 380 379 406 421 431 424 377 306 296 304 290 316 349 362 347 309 269 236 197 181 184 186 186 187 201 238 248 252 273 296 322 329 311 298 287 273 255 231 192 174 166 158 146 135 142 160 154 132 121 120 119 117 133 140 136 120 106 102 95 80 71 73 68 61 64 68 71 71 73 77 80 76 65 47 25 9 10 15 16 19 27 35 40 33 17 0 1 4 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1038 1096 1161 1229 1291 1343 1395 1412 1437 1500 1549 1526 1621 1732 1793 1793 1768 1762 1791 1790 1777 1745 1678 1569 1446 1359 1332 1327 1348 1441 1529 1556 1523 1481 1411 1317 1236 1155 1068 983 914 821 773 756 777 784 738 661 582 531 500 483 467 454 455 435 424 435 445 437 425 458 556 566 563 507 488 508 495 495 516 525 525 506 450 373 357 337 342 364 377 373 357 321 298 268 224 198 194 196 195 214 204 226 216 216 253 261 265 281 289 286 273 253 229 193 167 153 143 132 122 121 134 152 147 136 135 143 147 150 164 164 159 146 129 118 107 92 69 64 63 62 63 66 70 67 62 68 76 69 54 35 17 5 9 16 12 9 7 7 6 3 1 0 1 3 5 4 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
1043 1069 1114 1179 1247 1302 1385 1367 1370 1453 1552 1587 1649 1756 1829 1822 1791 1768 1767 1835 1825 1784 1685 1554 1437 1367 1343 1353 1385 1509 1616 1655 1636 1581 1497 1389 1280 1184 1108 1046 976 873 812 780 784 779 726 649 588 549 524 512 496 475 464 440 420 419 433 451 464 481 546 580 595 593 594 593 571 553 561 558 549 523 486 450 411 375 391 388 370 352 337 305 298 284 261 242 229 222 225 249 227 237 235 220 217 216 198 188 217 234 229 217 202 182 167 147 130 116 110 120 139 146 135 121 119 131 139 167 176 176 171 164 154 141 127 110 80 60 54 52 52 58 67 69 70 73 74 64 45 25 8 1 3 6 4 2 0 0 0 0 0 0 0 1 1 2 3 6 8 6 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
1128 1108 1105 1142 1201 1213 1306 1346 1371 1452 1565 1646 1702 1749 1775 1813 1860 1862 1831 1905 1905 1884 1815 1699 1572 1483 1454 1461 1473 1588 1704 1761 1754 1690 1589 1467 1340 1237 1188 1165 1088 964 855 785 749 720 685 649 611 573 543 517 493 473 461 446 430 438 469 522 563 548 570 599 615 631 641 631 595 561 567 532 515 504 484 451 381 357 406 401 372 344 305 291 295 286 265 240 227 234 235 243 208 204 218 226 226 243 254 249 231 213 198 189 195 194 180 154 130 114 106 120 134 127 116 106 107 124 149 178 191 189 177 166 167 164 150 132 97 62 42 38 37 35 44 61 75 78 74 67 46 21 5 0 0 0 0 0 0 1 4 6 7 5 1 0 1 1 3 10 17 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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