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 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 12 11 10 10 9 9 9 8 8 7 7 7 7 8 9 8 8 7 7 6 7 8 9 9 9 8 8 9 9 8 6 3 2 4 10 14 12 10 8 8 8 8 8 7 5 4 3 4 6 7 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 13 14 14 15 15 14 14 13 13 12 12 12 12 11 11 11 11 11 11 10 9 7 6 5 3 3 3 4 5 5 6 6 7 6 5 5 6 6 7 7 7 6 5 5 nan
nan 10 10 10 11 10 10 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 12 13 14 13 13 12 11 11 11 10 10 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 8 7 5 3 4 9 12 11 10 9 9 8 7 6 6 7 7 5 3 3 5 8 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 13 13 14 15 15 15 15 14 14 14 13 13 13 12 12 12 12 12 12 11 11 10 9 8 7 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 5 5 nan
nan 10 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 11 12 12 13 13 13 12 12 12 12 12 11 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 7 5 5 8 10 10 9 9 9 8 6 5 5 8 10 8 4 1 3 6 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 13 14 14 14 14 15 15 14 14 14 13 13 13 13 12 12 12 12 11 11 10 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 nan
nan 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 13 13 12 11 10 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 10 10 10 8 6 6 7 9 10 9 9 9 8 6 4 5 9 12 9 4 0 0 4 7 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 10 9 8 7 7 7 8 8 8 7 7 7 8 8 8 7 7 8 9 9 10 10 10 9 8 7 6 7 8 8 8 8 8 8 7 5 6 9 11 9 5 2 0 1 3 7 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 10 11 12 12 11 11 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 14 14 14 13 12 10 9 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 8 8 9 9 9 7 4 2 -0 1 4 7 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 7 nan
nan 9 9 9 9 9 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 14 13 11 10 8 7 7 8 8 8 8 8 8 8 7 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 10 10 9 8 5 1 -0 1 5 8 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 9 9 9 9 8 8 8 7 7 7 6 6 6 7 nan
nan 9 9 8 8 8 9 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 14 13 11 9 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 9 9 10 10 8 7 8 9 11 11 10 11 11 11 10 10 8 5 2 1 3 7 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 9 10 10 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 13 13 13 13 11 9 8 8 8 8 7 8 9 9 9 9 8 8 8 9 10 9 8 7 8 8 9 9 9 8 7 7 8 9 10 9 7 7 8 10 10 11 11 12 12 11 10 9 7 4 2 3 5 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 9 9 9 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 11 11 12 13 13 12 10 10 10 9 9 8 9 10 10 9 9 8 8 8 9 10 10 8 7 8 8 8 9 9 8 8 8 8 9 9 9 8 7 7 8 9 9 10 10 11 11 10 9 8 6 3 3 4 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 nan
nan 9 8 8 9 9 8 8 8 8 9 9 9 10 9 9 10 10 11 12 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 9 10 11 12 13 12 11 11 11 11 10 9 10 11 11 10 9 8 7 8 9 10 10 9 8 7 7 8 8 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 8 8 9 10 9 9 7 5 4 3 6 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 9 9 10 12 13 13 12 12 12 11 9 9 10 11 11 10 9 8 8 8 8 9 10 9 8 7 7 8 8 8 9 9 10 11 11 10 9 9 9 8 7 7 7 6 6 6 7 8 9 9 9 7 5 4 6 8 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 7 7 8 9 9 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 10 11 11 10 9 9 8 8 8 9 10 12 14 14 14 13 12 10 8 8 9 10 10 9 9 8 8 8 8 9 8 8 7 7 8 8 8 8 8 8 9 11 11 11 10 9 9 8 7 8 8 7 6 5 6 7 9 9 9 8 6 6 7 8 10 11 11 11 10 10 10 10 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 7 7 7 8 9 10 10 10 9 9 10 10 10 9 8 8 9 10 10 9 8 7 7 8 9 9 9 7 5 5 6 7 8 9 11 13 15 15 14 12 10 9 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 8 8 7 8 9 10 11 11 10 10 9 8 8 9 8 7 6 6 6 7 8 9 9 8 7 6 7 9 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 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 9 9 9 9 9 9 9 9 9 8 nan
nan 9 9 8 8 8 8 9 9 10 9 9 9 9 9 10 10 9 9 10 11 12 11 10 9 8 7 8 8 8 7 5 4 4 5 6 8 9 10 12 13 14 13 12 11 11 10 9 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 9 9 10 10 10 9 9 10 10 9 8 7 7 8 8 9 10 10 8 6 5 5 8 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 10 10 10 9 9 9 9 9 9 nan
nan 9 8 8 8 8 9 9 10 9 9 9 8 8 8 9 10 10 10 11 11 12 12 11 10 10 9 9 8 8 7 6 6 6 6 7 8 9 9 10 11 12 12 12 12 12 12 10 7 5 6 7 8 8 8 8 7 6 7 7 8 9 9 9 9 9 7 6 6 6 7 8 8 9 10 11 10 9 8 7 9 10 11 11 12 11 8 5 3 3 7 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 9 8 8 8 9 9 10 10 10 9 9 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 9 9 10 10 10 10 11 11 11 12 13 12 9 6 5 6 7 8 8 8 7 7 6 7 7 8 8 9 9 10 10 8 6 4 4 5 6 7 9 10 11 11 10 8 8 9 11 13 14 14 12 10 6 3 3 5 7 9 9 10 10 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 9 9 10 10 10 9 9 8 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 11 9 7 7 8 9 10 10 9 8 7 7 8 8 9 9 9 10 11 11 9 6 5 5 5 6 7 9 10 12 12 10 9 9 10 12 14 14 14 12 11 7 5 4 5 6 8 9 9 10 11 12 12 12 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 8 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 10 11 12 13 13 12 12 10 9 8 9 10 11 11 11 10 9 8 8 9 9 9 9 9 10 12 11 9 7 5 5 6 7 8 9 10 10 10 9 9 10 12 13 13 12 12 11 10 8 6 5 5 6 7 9 10 11 12 12 12 11 10 10 10 11 12 12 12 12 12 13 13 13 12 11 11 11 10 11 11 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 8 9 10 11 11 11 11 10 9 8 8 9 9 11 12 12 13 12 12 11 11 11 11 11 11 11 10 9 8 8 8 9 9 8 8 9 11 11 10 7 6 5 5 6 8 9 9 9 9 9 9 9 11 12 13 12 11 10 9 8 7 6 5 5 6 7 9 10 12 12 13 12 11 9 9 10 11 11 11 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 nan
nan 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 9 9 8 8 9 10 10 10 10 11 11 12 12 12 11 11 11 10 9 9 7 6 6 7 8 8 8 9 10 11 10 8 7 6 5 5 6 7 9 10 9 9 9 9 9 10 11 11 11 11 10 9 8 6 6 6 6 7 8 9 10 11 11 12 11 11 10 9 10 11 11 10 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 8 8 7 6 7 7 7 7 7 8 10 10 9 8 7 7 6 6 6 7 8 9 9 9 9 9 9 10 10 11 11 11 11 10 8 7 6 7 8 9 10 10 9 9 9 10 10 10 10 10 11 12 11 9 8 8 8 7 7 7 7 7 8 8 9 10 10 10 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 8 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 7 6 6 6 7 8 9 9 8 8 7 7 8 8 8 8 7 8 8 9 9 9 9 9 9 9 10 10 9 8 8 8 8 9 8 8 8 7 7 7 7 7 7 6 7 7 8 7 7 7 7 7 6 6 7 8 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 7 8 9 10 11 11 10 9 8 8 9 10 10 11 11 11 10 9 8 7 7 6 6 6 6 6 7 8 9 11 11 10 8 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 6 7 7 8 8 9 9 9 9 9 8 8 9 10 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 6 7 7 7 7 6 6 7 8 9 9 9 9 9 9 10 10 11 11 11 11 11 9 8 8 7 8 9 10 11 10 9 9 8 9 9 10 11 11 10 10 9 8 8 7 6 6 5 5 6 7 8 10 12 11 9 7 7 8 10 11 11 11 11 10 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 6 7 7 7 8 9 9 9 9 9 9 10 11 12 13 12 11 10 9 9 9 9 9 9 10 11 11 11 11 11 11 10 9 9 9 9 10 9 10 10 11 11 12 12 11 10 9 9 8 7 7 8 9 9 8 8 7 7 7 6 6 5 5 6 7 8 7 6 6 6 7 8 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 8 7 8 9 10 11 11 10 9 8 8 8 9 9 10 10 10 9 9 8 8 7 6 5 6 7 7 8 9 11 11 9 8 8 10 12 12 12 11 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 9 9 9 9 9 9 9 10 10 nan
nan 9 9 8 9 10 12 14 14 13 13 12 12 11 12 13 13 14 14 12 11 10 9 10 11 13 13 14 14 14 14 13 13 12 11 11 11 11 10 10 10 11 11 12 12 12 11 9 8 7 7 8 8 9 9 9 8 7 7 6 6 6 6 6 7 7 8 7 6 6 6 7 9 9 9 10 10 10 11 12 12 12 12 12 10 10 9 8 7 7 8 9 10 11 11 10 9 8 7 7 7 8 10 10 10 9 9 8 8 7 7 6 7 8 8 8 9 10 11 10 10 11 12 12 11 10 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 nan
nan 10 10 10 10 12 15 17 18 17 15 14 13 12 11 12 13 14 14 13 11 10 11 12 13 15 15 15 14 14 14 13 13 13 13 13 12 11 10 10 10 10 11 11 12 12 12 10 9 8 8 8 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 7 6 7 8 9 9 9 10 10 11 11 12 13 13 13 12 11 9 7 6 6 7 7 9 10 11 11 10 9 8 7 7 7 8 10 10 10 9 9 8 8 7 7 7 8 8 8 8 9 10 11 11 10 10 10 9 9 8 8 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 nan
nan 9 10 10 10 10 11 11 12 13 13 13 12 12 12 11 11 11 11 11 10 11 11 12 13 14 13 12 11 10 10 10 11 12 13 13 12 11 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 9 8 8 7 6 6 6 6 6 7 8 8 8 7 7 7 8 9 9 9 10 10 11 11 12 13 13 13 13 11 9 6 5 6 6 6 8 10 11 11 11 9 9 8 8 8 9 10 11 10 9 8 8 7 7 7 7 8 8 8 8 9 9 9 8 7 6 6 6 7 7 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 nan
nan 8 9 9 9 8 5 3 2 3 5 7 9 11 11 11 11 10 9 9 9 10 10 11 12 11 11 10 9 9 9 9 10 10 10 11 11 11 10 10 11 11 10 10 10 12 12 12 11 11 11 11 11 11 10 9 8 7 7 7 7 6 7 7 8 9 8 8 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 12 11 9 6 5 5 4 4 6 9 11 12 11 10 10 10 10 9 10 10 11 11 9 8 8 7 7 8 8 8 8 8 8 8 8 7 5 3 3 5 7 8 9 10 11 12 12 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 nan
nan 9 10 11 11 9 5 2 -0 -1 1 3 6 8 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 9 9 9 10 11 11 11 11 10 11 11 11 11 11 10 10 11 11 11 10 9 8 8 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 8 7 6 5 4 4 6 9 12 12 11 11 11 11 11 10 10 10 11 10 9 8 7 7 7 8 8 8 8 7 7 7 6 4 2 2 4 7 9 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 12 13 14 14 12 10 7 5 4 4 5 7 8 9 10 10 11 11 10 10 9 9 9 9 9 10 10 11 11 12 12 10 9 9 9 9 8 8 10 10 11 11 11 11 10 10 10 9 9 10 10 10 10 10 9 9 8 8 7 8 8 9 9 9 9 8 7 7 7 8 8 8 9 9 10 10 10 9 8 8 9 10 10 10 8 7 7 5 5 5 6 9 11 12 11 11 12 12 12 11 11 11 10 10 9 8 7 7 7 8 8 7 7 6 5 5 3 1 1 3 6 9 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 nan
nan 13 13 13 13 13 12 11 10 9 10 10 9 8 8 8 9 10 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 10 11 11 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 7 7 7 8 9 9 9 8 8 7 6 6 6 8 9 10 11 11 11 12 13 13 13 11 10 9 8 8 7 7 8 8 8 8 7 7 6 4 2 1 1 2 5 8 10 10 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 nan
nan 11 10 10 10 11 12 12 11 10 10 10 9 9 8 8 9 10 11 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 7 6 6 7 7 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 7 7 6 6 7 8 9 10 10 10 11 12 13 13 13 11 9 9 8 7 8 8 8 8 8 8 8 8 8 5 3 2 4 6 9 10 10 10 10 10 10 11 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 10 10 10 10 10 10 10 nan
nan 9 8 8 9 10 11 11 10 9 8 8 8 8 8 8 9 10 10 10 9 9 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 7 7 6 6 7 7 7 8 7 7 7 6 6 6 5 6 6 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 9 10 11 11 12 12 12 11 10 9 8 7 8 8 8 8 8 8 9 10 10 8 7 7 9 10 11 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 9 9 11 12 12 10 8 7 8 8 8 8 8 8 9 9 8 8 7 8 8 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 9 8 8 7 6 6 6 5 6 6 7 7 8 8 7 7 6 6 5 6 6 6 7 9 10 10 10 9 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 9 10 10 11 11 12 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 8 8 8 8 9 11 13 14 13 11 9 9 9 9 8 8 7 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 9 8 7 6 5 5 5 5 5 5 6 6 7 7 8 8 8 8 7 7 8 8 8 8 8 9 9 8 7 7 7 7 7 6 7 7 7 6 6 5 5 6 8 10 11 11 10 9 9 9 10 10 11 11 11 11 11 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 9 8 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 10 10 10 10 11 11 11 11 nan
nan 8 8 8 8 9 10 12 13 12 10 10 11 11 10 9 8 7 7 7 7 6 6 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 8 7 5 4 3 3 4 5 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 7 7 6 5 5 6 7 7 7 7 7 7 6 6 6 6 7 8 10 12 13 13 11 10 10 9 9 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 9 10 11 11 10 8 7 6 7 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 8 8 7 6 7 10 12 13 12 10 8 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 9 9 10 11 11 11 9 8 7 7 7 8 8 7 6 5 4 3 3 4 5 7 8 8 7 6 6 6 7 8 9 10 10 10 10 9 8 7 6 5 4 4 5 6 7 8 8 8 7 6 6 8 9 10 10 11 12 13 14 15 14 13 12 10 9 9 9 9 10 10 10 10 9 8 8 8 8 7 8 8 9 10 11 10 9 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 7 7 8 8 7 5 4 3 6 9 11 13 13 11 9 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 9 9 11 11 12 11 10 8 7 6 6 6 6 6 5 4 4 4 4 6 7 8 9 8 8 7 7 7 7 8 9 10 9 9 8 8 8 8 8 7 7 7 8 9 10 10 11 11 10 10 11 13 14 15 14 14 13 12 13 15 16 15 13 11 9 8 7 8 9 9 10 9 8 7 7 7 7 7 8 9 9 10 11 10 10 10 11 11 11 10 9 8 8 7 7 8 8 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 7 7 8 8 8 7 6 4 4 6 8 10 12 13 13 11 10 9 8 8 7 7 6 6 6 6 7 7 8 8 8 9 10 11 12 12 12 11 9 7 6 5 5 5 5 5 5 5 5 6 7 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 9 10 11 11 12 11 12 14 15 15 16 16 16 16 16 16 16 16 16 15 14 13 12 14 15 15 13 10 8 7 7 8 9 9 9 8 7 7 7 7 8 8 9 9 10 11 11 11 11 12 12 12 11 10 9 8 7 7 7 7 8 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 nan
nan 7 7 7 7 7 7 7 6 5 6 6 8 12 15 15 14 12 9 8 8 7 6 6 6 6 7 7 7 7 8 8 9 11 12 12 13 13 12 10 8 6 5 4 4 4 5 5 6 7 7 8 8 8 7 7 7 6 6 6 7 7 7 8 8 9 10 10 11 12 12 13 14 15 15 16 17 18 18 18 17 15 15 14 13 13 14 14 14 13 12 13 13 13 11 10 8 7 8 9 9 9 8 7 7 7 7 7 8 8 9 10 11 11 11 12 12 12 12 12 12 10 9 7 6 6 6 7 8 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 7 7 7 7 8 8 8 7 6 5 5 7 11 14 15 15 12 9 8 7 7 6 6 6 6 6 6 6 6 7 8 10 11 12 12 13 13 12 11 10 8 5 4 4 4 4 5 6 7 8 8 7 7 6 6 6 6 6 7 7 7 8 8 9 9 10 11 12 12 12 13 13 13 13 13 14 15 15 13 11 11 10 10 11 12 12 12 13 13 13 12 12 11 10 10 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 10 11 12 12 12 12 12 12 12 11 10 8 7 6 5 6 7 8 9 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 6 6 7 8 8 9 9 8 6 4 3 6 9 11 12 13 11 9 8 8 7 6 6 6 6 6 7 6 6 7 8 9 10 11 12 12 12 13 13 12 10 7 6 4 4 5 6 7 8 8 8 8 7 6 6 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 10 11 10 8 7 8 8 9 10 11 11 11 12 12 12 11 11 10 10 10 10 10 9 9 8 9 9 8 7 7 7 8 9 10 11 11 12 12 12 12 12 11 11 11 11 9 8 7 5 6 7 7 8 9 10 10 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 11 11 11 12 nan
nan 6 7 7 8 8 8 8 7 6 4 3 4 6 7 8 10 11 10 10 10 8 6 6 6 6 7 8 7 6 6 7 9 10 11 11 11 11 12 13 13 12 10 8 6 5 6 7 7 8 9 9 8 7 7 7 8 10 11 12 12 13 13 13 13 12 12 12 12 12 13 13 12 11 10 10 10 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 8 9 10 11 12 13 13 13 13 12 11 11 10 10 10 9 8 7 6 7 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 15 nan
nan 6 7 8 8 8 7 7 7 6 5 4 4 4 4 6 8 9 10 11 11 9 8 7 6 6 8 8 7 6 5 7 8 9 10 10 10 10 9 10 11 12 11 10 9 8 8 8 9 9 9 9 8 7 7 8 9 11 12 13 14 15 15 15 15 15 15 16 17 18 18 16 15 14 13 12 12 12 12 13 13 12 11 10 10 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 14 14 13 12 11 10 10 9 9 9 8 8 8 10 11 11 11 11 10 10 11 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 15 17 19 nan
nan 7 7 7 7 7 7 7 6 6 5 5 4 4 4 5 6 8 9 11 11 10 8 7 6 6 6 6 5 5 5 7 8 9 9 9 9 8 7 7 8 9 10 10 9 9 9 10 10 10 9 9 8 7 8 9 10 12 13 14 15 15 15 15 16 16 17 18 20 20 20 18 16 15 14 13 12 12 13 13 13 12 11 11 10 10 10 10 10 10 11 12 13 13 13 10 7 5 5 6 7 7 7 8 8 9 10 11 11 12 13 14 14 14 13 12 11 10 10 9 9 9 9 10 12 13 14 13 13 12 12 11 11 10 10 9 9 9 9 10 11 11 12 12 13 13 13 13 13 13 14 13 13 13 13 13 14 15 17 19 20 nan
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nan 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 12 13 13 14 14 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 9 9 9 11 11 12 11 10 9 8 7 7 8 11 15 18 21 22 23 23 21 20 17 14 11 8 4 1 -2 -5 -6 -6 -5 -3 0 1 1 1 2 nan
nan 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 10 11 12 11 10 8 6 4 3 3 5 8 12 15 18 20 23 25 25 26 25 25 25 23 20 16 12 6 1 -2 -5 -7 -7 -7 -7 -8 -8 nan
nan 12 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 9 8 6 5 4 4 5 8 10 11 13 14 16 18 21 23 25 27 28 30 30 30 28 24 19 14 9 3 -1 -4 -6 -8 -11 -12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 4 4 4 4 5 5 5 7 9 11 10 7 5 4 3 2 3 3 4 3 3 2 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 5 5 5 5 5 5 5 5 7 6 5 5 6 6 7 7 7 7 8 8 8 9 10 10 11 11 11 11 12 13 13 13 15 16 17 18 18 16 16 17 18 22 25 28 30 32 34 36 35 35 35 36 38 41 45 51 56 61 67 69 74 83 91 94 96 96 99 103 102 103 108 117 126 131 129 124 118
1 1 1 1 2 1 1 1 2 2 2 1 2 2 2 3 3 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 2 2 3 5 5 4 4 3 3 3 3 2 3 5 8 8 6 5 4 2 2 2 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 5 5 5 6 6 7 6 6 6 6 7 6 6 7 8 9 8 9 9 9 10 12 12 13 13 14 16 16 18 21 24 26 28 29 27 26 27 29 32 36 38 39 41 42 41 41 42 43 43 45 45 46 48 51 55 60 65 72 80 83 92 90 89 88 84 83 83 88 95 104 109 106 102 96
1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 5 4 3 2 2 2 2 2 3 5 5 4 3 2 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 7 7 7 7 6 6 6 6 6 6 6 7 8 9 9 10 12 15 17 18 18 18 18 19 22 25 29 33 38 41 43 42 40 42 43 44 46 46 46 48 49 49 49 49 51 55 53 50 46 45 45 49 55 62 69 75 73 76 80 81 80 78 72 71 74 82 88 92 92 90 84
1 1 1 1 2 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 3 3 3 4 4 4 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 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 7 7 6 6 6 6 6 6 6 6 7 8 9 11 14 18 20 21 20 19 18 20 23 27 30 34 37 40 43 45 47 48 48 50 52 54 54 57 57 55 51 49 50 53 52 47 43 43 45 48 52 58 65 70 74 77 79 78 77 78 77 75 74 79 84 90 96 98 88
1 1 1 1 2 2 2 3 3 3 4 4 3 3 4 5 4 4 4 4 4 4 4 3 2 2 2 2 1 1 1 1 1 1 1 1 1 2 3 3 2 1 1 2 3 3 3 4 4 4 3 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 7 7 7 6 6 5 6 6 7 8 8 9 11 13 15 17 18 17 17 17 19 20 21 22 23 25 27 29 33 36 38 40 43 48 51 57 59 57 55 55 54 50 47 45 42 41 40 41 43 46 49 57 62 66 68 73 76 76 77 78 78 79 82 86 93 103 101 93
1 1 1 2 2 3 3 4 4 4 5 5 4 4 4 5 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 2 1 1 1 1 1 2 4 5 3 2 1 1 2 3 3 3 3 4 4 3 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 6 6 6 6 6 6 7 8 8 9 10 11 12 14 15 15 14 14 15 16 17 15 14 14 16 18 19 20 21 24 27 29 33 37 42 45 45 44 44 42 40 40 40 41 43 44 42 42 42 44 45 46 48 53 59 63 66 71 76 78 83 86 86 87 95 93 89
2 2 2 2 3 3 4 4 4 5 6 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 3 2 2 2 2 2 2 5 5 4 2 1 1 2 3 4 4 4 5 4 3 3 3 2 1 2 2 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 6 6 6 6 6 6 6 7 8 8 9 10 11 12 12 12 12 13 13 14 13 12 11 12 13 14 16 15 14 15 17 17 20 23 27 28 29 29 28 27 28 30 32 36 40 45 46 48 46 46 48 52 50 48 48 49 53 61 71 80 83 81 81 78 78 80 80
2 2 2 3 3 3 3 4 4 5 6 6 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 5 4 4 3 1 1 2 3 4 4 4 4 4 4 3 2 2 2 3 3 3 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 2 3 4 5 6 5 5 5 6 5 6 6 7 7 8 9 10 10 10 11 11 11 11 11 12 10 10 10 9 11 11 10 10 11 14 14 15 16 17 17 19 20 20 20 20 21 23 27 32 36 37 38 40 43 46 50 54 51 48 51 62 73 78 79 81 87 83 78 75 75 76
2 2 3 3 3 3 3 4 4 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 4 4 5 4 4 4 4 4 2 2 2 3 4 4 4 5 5 5 4 3 3 2 3 3 4 2 3 3 2 2 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 5 5 5 5 6 5 6 7 7 7 7 7 9 10 10 10 10 10 10 9 9 9 9 8 7 5 7 8 8 8 9 12 13 14 14 14 13 14 15 16 16 15 16 18 20 22 21 24 26 28 30 34 38 41 42 43 50 58 64 67 69 71 78 78 77 75 77 76
2 2 2 3 3 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 5 4 4 4 4 3 3 3 4 4 4 5 7 8 8 8 6 5 4 5 5 6 4 3 3 2 2 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 5 6 6 7 7 8 9 11 10 9 9 9 8 8 7 7 6 6 5 5 6 6 6 6 7 8 9 9 9 9 9 9 10 11 11 11 12 13 14 14 14 16 18 20 21 24 27 29 30 31 37 41 41 42 48 52 56 59 62 62 65 65
2 2 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 5 5 5 4 5 4 4 5 5 7 8 10 11 13 13 10 9 8 8 6 5 4 3 3 5 4 3 2 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 1 1 2 3 3 3 3 3 4 5 5 5 6 7 8 10 11 10 9 9 10 9 9 9 8 7 7 6 6 5 4 4 4 5 5 6 7 6 6 6 6 7 7 7 7 8 9 10 11 12 13 14 16 17 18 20 21 22 22 25 27 30 33 33 36 38 40 40 42 43 44
3 3 3 3 3 4 4 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 6 7 7 7 7 7 6 5 5 5 5 5 7 8 9 11 12 11 14 15 15 13 10 9 7 6 4 3 4 8 8 7 4 1 2 4 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 4 4 4 5 6 7 8 8 8 8 7 9 9 8 8 8 8 7 6 4 3 2 3 4 4 4 5 5 5 5 5 4 5 5 5 5 6 7 8 9 10 10 10 11 12 12 13 14 15 16 17 18 20 21 23 24 25 26 27 29 30 31
3 3 3 3 3 4 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 3 4 5 5 5 5 5 6 6 6 6 7 7 8 9 9 8 8 7 6 5 5 6 8 9 12 14 15 14 15 17 16 13 8 6 5 5 5 4 4 10 13 15 14 13 12 8 4 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 2 2 2 2 2 3 3 4 4 4 5 5 6 7 8 7 7 7 7 6 5 5 4 3 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 4 5 5 6 6 6 7 7 7 8 8 8 9 9 10 11 11 13 14 14 16 17 18 20 22 23 24 26
3 3 3 3 4 4 4 5 5 4 4 3 3 3 3 3 3 4 3 4 4 4 3 4 4 4 4 5 5 6 6 6 6 7 7 8 9 9 8 8 8 7 5 5 6 7 9 12 14 16 17 18 18 16 11 6 5 6 6 6 7 8 11 16 19 17 14 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 3 3 3 4 4 5 5 6 6 5 4 3 3 2 2 1 1 1 2 2 2 2 2 2 3 3 3 2 2 2 2 2 3 4 4 4 3 3 4 4 5 5 6 6 6 7 7 8 8 10 11 12 12 14 15 16 18 19 20 22
3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 6 6 7 8 8 7 5 4 5 4 3 4 5 6 8 10 12 15 19 19 17 16 12 8 6 6 7 8 10 11 13 14 14 12 9 6 4 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 1 1 1 1 2 2 2 2 2 3 3 3 4 4 4 4 3 2 1 1 1 1 2 1 1 1 1 1 1 2 3 3 3 2 2 2 2 2 1 2 3 2 2 2 2 2 3 3 3 3 4 4 5 6 6 7 8 9 10 10 12 13 14 15 16 17 19
3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 7 6 5 4 3 3 2 2 2 2 2 3 5 7 8 10 15 17 16 14 11 9 8 7 8 9 11 12 13 13 11 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 2 3 3 3 2 2 2 2 2 1 1 2 2 2 1 1 1 2 2 2 2 2 3 4 4 5 6 6 7 8 9 10 11 11 12 13 14 16
3 4 4 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 3 3 2 3 3 3 3 2 2 3 3 3 3 4 4 3 2 2 2 2 2 2 2 2 3 3 2 2 2 4 7 8 11 14 14 13 12 11 9 6 7 11 14 15 13 10 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 4 4 5 6 6 7 7 8 8 9 10 10 11 13
4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 2 3 3 3 3 2 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 3 3 3 2 3 3 5 7 8 10 12 11 10 11 10 7 7 9 10 12 13 11 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 3 3 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 0 0 0 0 1 1 1 1 1 1 3 2 3 3 3 3 4 5 5 6 6 7 8 8 9 9 11
4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 2 1 1 2 2 2 1 1 1 1 1 1 1 1 2 2 2 3 4 3 4 4 5 6 10 9 8 7 7 6 5 4 5 6 9 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 0 0 0 0 0 0 0 0 0 2 3 3 3 2 3 3 2 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 3 3 4 4 4 5 5 6 6 7 7 8 8
4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 6 7 6 6 6 5 4 3 2 3 3 3 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 1 2 2 2 2 3 2 3 3 3 3 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 2 2 3 3 3 3 4 4 4 4 4 5 6 6 7 7
4 3 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 1 1 1 1 1 1 2 2 2 1 2 2 2 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 2 2 2 3 2 2 2 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 3 2 2 2 3 3 3 4 4 3 3 4 5 6 6 7 7
4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 3 4 4 4 2 2 2 2 3 3 3 3 3 3 4 4 5 6 6 7
5 5 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 2 3 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 5 6 7
6 5 5 5 5 6 7 5 4 3 3 3 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 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 1 1 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 2 3 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 7
7 8 8 8 8 7 7 6 6 5 4 4 4 4 2 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 3 3 4 4 3 4 4 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 6 7
4 6 9 10 10 10 11 9 7 5 4 5 6 4 2 2 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 4 3 3 4 4 4 4 4 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 8
1 1 2 3 5 9 14 14 10 7 5 7 9 7 4 5 4 4 4 3 4 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 8 8 9 8 8 7 7 7 7 8 8 9
0 0 0 0 2 4 13 16 14 9 9 10 12 12 12 11 10 11 12 12 15 16 11 7 7 5 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 4 4 4 4 4 4 4 4 5 5 6 6 5 6 6 6 7 8 10 11 11 11 11 10 10 9 9 9 10 10
0 0 0 0 0 1 8 13 14 12 12 12 12 12 13 13 12 13 14 14 18 17 13 9 9 6 4 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 6 6 6 7 8 9 10 10 11 11 12 12 11 10 10 9 9 10
0 0 0 0 0 0 2 5 6 6 7 8 8 9 11 11 12 13 13 12 11 10 10 10 11 10 10 9 8 7 6 5 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 2 2 2 3 4 5 5 3 2 2 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 5 5 5 5 4 5 5 5 5 6 7 7 7 6 6 7 7 8 9 10 10 11 12 12 12 11 11 11 11 11
0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 7 10 11 11 11 10 9 9 9 10 12 13 14 14 13 11 9 7 5 4 4 4 4 3 2 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 3 3 3 4 5 6 6 6 5 4 3 2 1 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 5 5 4 5 5 5 6 6 5 5 6 6 6 6 6 6 6 7 8 8 8 9 9 9 10 11 11 11 11 11 11 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 8 9 9 8 8 9 10 12 13 13 14 14 14 12 9 8 8 7 6 6 5 5 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 1 1 1 2 3 3 4 5 7 7 7 6 6 5 4 4 3 2 1 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 5 5 5 5 5 6 6 5 5 5 5 6 6 6 5 6 5 6 6 7 7 8 8 7 7 9 9 10 10 9 10 12
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 7 8 8 9 10 10 10 11 13 14 15 14 13 12 12 8 8 8 7 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 2 2 3 4 4 5 6 7 7 7 7 7 5 4 4 3 3 2 1 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 7 8 8 9 10 11 13
0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 2 4 5 5 7 8 8 9 9 8 7 8 10 12 13 14 14 13 12 11 9 8 6 6 5 4 3 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 4 5 5 5 5 6 7 7 8 8 7 6 6 5 3 4 4 3 1 1 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 4 4 4 4 5 4 4 5 4 4 5 5 5 5 5 5 5 6 7 6 6 6 7 8 8 9 9 10 11 12 13
0 0 0 0 0 0 0 0 0 0 1 2 4 3 1 0 0 0 0 1 2 2 4 4 4 5 4 4 4 4 5 5 6 8 10 12 12 12 12 12 10 7 6 5 4 4 2 1 1 1 1 1 2 2 2 2 1 1 1 0 1 1 2 3 5 5 5 6 6 5 4 5 6 6 6 6 6 7 8 8 9 8 7 6 5 4 3 3 3 2 1 1 2 3 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 5 4 5 6 6 6 7 7 7 8 9 10 11 12 12 11 13
0 0 0 0 0 0 0 0 0 0 1 5 8 6 3 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 2 4 6 8 9 11 11 11 11 10 8 5 3 3 2 1 1 2 2 2 3 3 3 4 4 4 3 2 2 3 4 5 6 7 8 8 8 7 7 6 6 8 7 6 7 8 8 9 9 8 7 5 4 3 2 1 1 1 0 1 1 3 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 3 3 3 4 5 4 4 5 6 6 6 7 7 7 7 8 9 10 10 10 11 12 13 13 12 13
0 0 0 0 0 0 0 0 0 0 0 2 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 6 9 10 12 12 11 9 7 4 3 2 2 2 2 3 4 5 6 7 7 7 7 6 6 6 6 7 9 10 9 9 10 10 11 9 8 9 8 7 7 8 9 8 8 7 5 4 3 2 1 1 0 0 0 0 1 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 4 4 4 4 5 6 7 7 7 7 7 7 7 8 10 11 11 11 11 12 12 12 11 12
0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 9 11 11 12 11 8 5 3 2 3 3 5 6 7 10 11 10 10 10 9 9 9 9 10 10 8 8 9 11 13 13 12 11 10 9 9 8 8 8 8 7 6 5 3 2 1 1 0 0 0 0 0 0 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 5 6 5 6 6 7 8 7 7 7 7 8 9 11 12 11 11 10 10 11 10 11 12
0 0 0 0 0 0 0 0 0 0 2 2 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 8 11 14 13 9 5 4 5 5 6 6 6 8 8 9 11 12 12 12 11 10 11 10 10 10 11 11 14 15 14 14 12 11 10 9 8 7 6 6 7 6 4 2 1 1 0 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 5 6 5 6 7 6 7 8 8 8 8 9 9 10 11 12 11 11 10 10 9 10 11 14
0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 10 10 9 9 8 8 10 11 9 10 11 11 11 12 13 13 12 11 9 9 10 10 10 9 10 11 12 13 12 12 11 9 8 6 5 5 5 6 5 3 2 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 5 4 5 6 7 7 7 7 8 8 8 9 9 10 10 10 11 11 12 12 10 11 13 14 16
0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 10 10 11 11 12 13 15 15 15 15 15 13 12 11 12 11 10 10 10 9 8 8 8 10 13 11 10 9 8 7 5 5 4 5 5 4 2 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 5 5 6 6 6 7 7 9 10 10 9 8 8 9 10 11 12 12 11 12 14 16 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 11 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 8 8 10 11 11 11 11 12 13 15 15 14 14 14 14 13 11 10 9 8 7 6 6 6 6 7 6 6 6 6 4 3 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 4 5 6 6 6 6 6 7 9 10 9 8 9 9 10 11 11 11 11 12 15 17 18
0 0 0 0 0 0 0 0 0 0 1 1 0 0 5 11 15 15 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 6 7 8 9 10 11 12 12 11 12 12 14 15 16 16 16 16 13 10 9 9 8 7 6 6 6 4 4 4 4 5 3 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4 5 5 5 6 6 6 6 8 9 8 8 9 9 10 10 10 10 12 14 16 17
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