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 10 11 11 10 9 9 8 7 6 5 6 8 10 10 8 8 8 8 6 11 16 11 8 7 8 8 6 7 10 10 9 7 7 7 8 9 9 8 9 9 11 10 8 8 8 9 9 7 6 6 7 7 8 8 9 10 11 11 10 10 11 12 11 10 10 10 10 9 9 8 6 6 8 9 9 9 10 11 12 13 13 13 12 12 12 10 8 8 8 8 9 7 6 5 6 7 7 7 6 7 7 9 12 13 11 7 4 2 1 1 2 3 4 4 4 5 6 7 nan
nan 10 10 10 10 9 8 7 8 7 6 7 9 9 9 8 8 9 9 10 13 14 11 8 8 8 8 7 6 6 5 5 5 5 7 9 9 8 8 8 9 11 9 8 7 6 6 6 6 6 6 7 7 6 6 7 7 7 7 6 8 10 12 12 12 10 9 9 9 9 8 7 7 7 8 9 10 11 10 10 11 11 11 12 13 14 13 10 8 6 6 9 10 10 8 6 5 5 6 7 10 12 13 12 11 9 7 4 3 3 3 3 4 4 4 5 7 7 7 nan
nan 8 9 9 8 8 7 8 8 8 7 7 8 9 9 9 9 9 9 10 12 12 10 9 8 8 7 3 1 3 5 4 4 7 9 9 9 7 7 8 10 11 9 6 4 3 3 4 6 8 8 8 8 7 7 8 7 7 7 8 9 11 12 12 12 11 10 9 9 9 8 8 8 7 7 8 8 9 9 10 10 10 11 12 14 13 13 11 9 7 6 7 10 10 8 8 6 6 6 5 6 11 11 9 8 7 6 4 4 4 5 6 6 5 5 7 7 8 8 nan
nan 7 7 8 7 6 8 9 9 9 9 7 7 10 11 9 9 8 8 9 9 10 10 9 9 8 6 1 -0 6 8 6 6 10 11 9 8 7 7 9 12 11 7 4 3 4 5 6 8 9 10 10 10 9 9 9 9 9 9 10 12 12 12 11 12 11 11 10 9 9 9 9 8 7 8 8 6 5 7 9 9 9 9 10 11 11 10 10 10 10 11 10 9 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 6 6 8 8 7 8 8 7 6 9 nan
nan 5 6 6 5 6 8 9 7 8 9 8 9 11 10 8 7 7 7 7 8 8 9 9 9 9 7 1 2 9 10 8 7 10 11 9 7 7 7 9 11 8 4 3 6 9 8 8 8 9 10 10 9 9 9 10 10 9 9 10 11 11 10 9 9 9 9 8 8 8 9 9 8 8 9 9 8 7 7 6 6 6 7 6 6 7 7 8 8 8 9 10 9 6 6 7 8 7 8 8 7 6 5 5 4 4 5 7 7 8 7 7 6 7 8 7 6 6 8 nan
nan 6 7 5 4 6 7 7 6 7 8 9 11 11 8 6 6 7 7 7 8 8 8 8 9 9 7 3 4 10 10 8 9 11 12 10 9 8 8 9 9 6 5 7 10 10 8 7 7 8 8 8 9 9 9 9 10 10 9 9 9 8 6 7 8 9 8 7 6 6 8 8 8 8 9 10 10 9 7 6 6 6 5 4 5 6 7 7 7 6 6 6 7 8 8 8 9 9 9 8 7 8 9 10 8 7 9 9 9 9 9 7 6 6 7 6 7 9 7 nan
nan 6 6 5 4 6 7 7 7 7 8 9 10 11 10 9 8 8 7 7 8 8 9 9 9 8 7 6 7 10 10 10 10 11 11 11 10 10 10 9 8 8 9 9 9 8 7 5 5 7 8 9 9 8 7 9 10 10 9 8 8 7 6 8 11 11 10 9 8 7 7 8 9 9 9 10 10 9 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 12 10 10 11 11 10 10 11 10 9 8 6 6 8 9 8 nan
nan 6 5 4 5 7 8 8 8 8 9 10 11 12 12 10 9 7 6 8 9 9 9 9 9 8 8 8 8 9 10 9 9 10 11 11 11 10 9 8 9 10 9 7 7 7 5 3 4 7 8 9 8 7 7 9 9 8 8 9 8 7 8 10 11 11 11 11 9 8 8 8 9 10 9 9 10 9 9 9 8 7 6 7 8 9 9 9 8 8 9 9 10 10 9 8 9 11 13 14 15 14 12 10 9 9 11 12 12 11 11 11 11 11 10 9 9 9 9 nan
nan 5 5 5 6 8 9 9 9 9 10 10 11 11 10 10 8 7 7 9 10 9 9 8 8 8 8 7 8 9 9 7 7 11 11 10 10 10 8 8 11 10 9 8 8 6 2 2 5 7 7 8 9 7 8 9 8 8 8 8 8 10 12 11 11 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 8 8 9 10 10 10 9 9 10 10 9 9 9 9 9 9 11 12 10 10 11 11 9 10 10 10 12 14 14 14 13 13 12 12 11 10 10 10 nan
nan 5 5 6 7 8 9 10 9 10 10 8 7 8 8 9 8 8 8 9 9 8 8 7 8 8 7 7 8 8 7 6 8 10 8 6 7 7 7 9 10 9 8 9 8 5 3 4 6 8 9 10 10 9 9 9 10 10 10 9 9 12 12 11 9 7 7 7 8 8 8 7 6 8 11 11 10 10 10 10 9 9 9 10 11 11 10 10 11 12 11 10 10 9 9 8 9 10 11 10 6 5 7 9 11 12 12 12 11 12 14 14 13 13 12 11 11 10 10 nan
nan 6 6 7 8 7 8 10 10 9 9 7 6 7 9 10 10 8 8 8 7 6 7 7 7 7 6 7 8 7 6 6 8 6 4 3 5 6 6 6 5 5 6 7 7 7 6 6 8 10 11 12 10 9 9 9 10 10 11 10 11 10 9 7 6 4 4 6 8 9 8 6 6 8 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 11 11 11 10 10 8 7 7 9 10 10 9 6 6 8 9 12 13 11 8 7 10 13 12 13 12 12 11 11 11 nan
nan 7 7 9 8 7 8 10 9 7 7 7 7 8 10 11 9 8 9 8 7 6 6 7 7 7 6 7 8 7 7 7 6 4 3 5 7 7 7 6 4 3 3 5 7 8 6 6 7 9 10 9 8 8 8 9 9 9 10 10 11 10 8 7 6 5 6 7 9 8 7 7 7 8 8 9 9 8 8 9 9 8 7 7 8 8 9 9 10 10 10 9 10 10 9 8 8 8 8 8 11 11 10 8 7 10 10 9 8 6 7 9 10 12 13 13 12 11 10 nan
nan 8 8 9 9 7 8 8 8 7 8 7 6 8 10 10 10 9 10 9 8 7 6 7 8 8 7 7 8 8 7 7 5 4 5 7 10 11 11 10 6 4 4 7 8 6 4 5 7 8 8 8 8 8 9 9 10 10 11 12 11 10 9 9 10 10 10 9 8 7 7 7 8 8 7 7 8 8 9 10 9 8 7 8 8 9 8 9 10 10 10 10 10 10 9 10 9 7 6 8 11 13 11 9 8 7 7 7 7 8 7 4 4 8 12 14 13 11 9 nan
nan 8 8 9 8 8 8 7 6 7 8 8 7 7 8 9 10 10 10 9 7 6 6 8 8 7 6 7 8 7 7 5 4 5 7 10 11 11 10 7 5 5 7 9 7 4 4 6 8 10 9 9 10 9 9 10 11 11 11 10 9 8 9 11 12 12 12 11 9 8 8 8 8 7 6 6 7 10 11 10 9 8 8 7 7 7 7 8 8 8 9 10 10 9 9 9 9 7 7 10 11 11 10 9 7 6 6 7 9 10 11 7 3 4 9 13 13 11 9 nan
nan 8 9 8 7 7 6 6 6 7 7 8 8 7 7 8 9 10 11 9 7 5 6 7 6 6 6 7 7 8 7 5 4 7 8 9 9 8 7 5 5 6 8 8 6 4 5 7 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 11 11 12 12 12 11 11 10 9 8 8 8 8 8 10 11 10 9 9 10 8 8 7 5 6 6 7 7 8 9 9 9 9 10 9 9 9 9 8 8 9 7 7 8 8 9 10 12 11 7 6 8 12 14 13 10 nan
nan 6 7 6 5 5 5 5 6 6 7 8 8 7 8 9 9 11 11 8 6 5 7 7 7 7 8 8 8 9 6 5 6 7 8 9 11 12 10 9 8 8 8 8 7 7 8 8 8 7 7 8 8 9 9 8 8 7 8 9 9 9 10 11 11 12 13 13 13 11 10 10 10 10 10 9 10 10 10 9 9 10 11 10 9 8 7 7 7 6 7 7 8 8 8 9 9 10 10 9 8 8 8 9 9 9 9 8 8 9 10 11 9 9 9 9 14 15 12 nan
nan 4 4 4 3 4 4 5 5 6 7 8 8 8 9 9 10 11 9 7 7 7 8 8 9 9 9 8 9 9 7 7 7 7 9 11 12 11 9 8 8 9 9 9 9 9 10 8 6 4 5 7 8 8 8 7 6 7 9 9 9 10 11 11 12 12 13 12 11 10 10 10 11 11 11 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 8 9 9 9 9 9 9 10 11 11 10 10 9 9 10 11 8 6 8 9 10 10 10 10 7 9 13 13 nan
nan 3 4 4 4 5 5 5 6 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 7 6 6 7 7 7 7 8 8 8 5 5 7 8 8 7 7 8 10 9 7 5 4 6 8 9 8 7 5 6 10 11 10 9 10 11 12 12 12 10 8 8 9 9 11 12 11 10 9 9 9 8 9 11 11 11 12 12 12 12 11 10 10 8 8 8 8 9 8 9 10 10 10 10 11 11 9 8 9 9 8 8 8 8 8 9 10 9 7 7 9 10 nan
nan 5 5 5 6 7 6 7 8 9 10 10 10 11 11 12 11 12 12 10 8 8 8 8 9 8 6 5 5 6 7 7 7 7 7 7 6 5 6 8 9 8 7 7 8 10 10 9 7 7 9 10 9 8 6 5 8 11 10 8 8 8 10 11 12 11 9 9 8 8 10 11 10 9 9 10 9 8 8 9 9 10 10 11 11 12 12 12 12 11 9 8 7 7 7 6 8 8 9 10 9 9 9 8 8 9 8 9 11 9 8 7 7 8 8 8 9 8 5 nan
nan 6 6 7 7 7 8 9 9 9 8 9 10 10 11 11 10 9 8 7 7 7 7 7 5 5 4 5 7 8 9 9 8 8 8 8 6 7 8 9 8 8 9 10 11 11 12 11 10 10 10 9 9 7 6 9 11 10 9 8 9 10 10 10 10 9 10 11 9 8 9 9 9 9 10 9 7 6 7 7 8 8 9 9 10 10 11 12 12 12 10 8 7 6 5 6 7 8 9 9 9 8 8 8 9 9 10 11 11 10 10 9 8 7 9 9 10 9 6 nan
nan 6 7 8 9 10 10 10 9 7 6 7 8 8 7 7 5 6 7 8 9 8 7 6 5 4 5 7 8 10 12 11 10 9 9 9 8 9 9 9 9 10 11 11 12 13 14 12 11 10 9 8 7 6 8 11 12 10 10 11 12 12 11 9 7 7 9 9 8 9 9 9 10 8 7 7 7 6 6 7 8 8 9 8 8 9 10 13 13 12 11 9 7 7 6 7 8 8 7 8 8 8 8 9 9 9 10 11 12 11 11 11 8 9 10 10 10 9 8 nan
nan 6 7 8 10 11 10 9 8 6 6 7 7 6 5 5 6 7 10 10 11 10 8 7 5 6 6 7 9 11 12 11 11 10 10 9 9 9 9 9 9 11 11 10 12 14 14 12 11 11 10 8 7 7 10 11 11 11 11 10 10 10 8 7 6 6 8 8 9 10 11 10 9 7 7 7 7 7 7 8 9 8 9 9 9 9 11 13 13 12 10 7 6 6 7 8 8 7 6 6 6 6 7 9 9 9 10 12 11 8 9 10 8 9 9 8 9 8 8 nan
nan 7 8 9 9 9 9 8 6 5 6 7 7 7 6 6 8 10 11 10 10 9 8 6 7 8 8 8 9 11 10 8 8 8 8 7 8 9 8 9 10 10 9 10 12 13 13 11 10 11 11 10 9 8 10 10 10 9 9 8 8 6 5 4 4 6 6 7 9 11 10 9 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 11 10 9 6 3 4 6 8 9 8 7 6 5 5 5 7 8 9 9 10 11 8 5 6 7 8 9 8 6 6 7 8 nan
nan 8 9 9 8 8 8 6 5 5 7 8 8 8 8 8 9 11 11 11 10 9 7 6 8 10 11 10 9 8 7 5 5 5 4 6 8 8 9 9 10 11 10 11 12 13 12 10 10 11 11 11 10 9 10 9 8 6 6 7 6 5 5 4 5 6 6 6 7 8 9 8 7 8 8 7 7 8 7 7 7 7 7 7 7 7 8 8 6 4 2 3 5 6 8 9 10 9 7 6 7 8 8 8 9 9 10 9 9 8 6 6 8 9 8 5 6 7 9 nan
nan 9 9 9 8 8 8 7 6 7 8 9 9 9 10 11 12 13 12 11 10 9 7 8 10 11 11 9 8 7 6 6 7 6 6 8 10 11 10 10 10 12 12 13 13 13 12 12 13 12 11 10 9 9 9 8 6 4 5 8 9 8 7 7 8 8 8 7 6 7 8 8 8 9 9 9 9 10 7 4 3 3 4 4 5 7 7 5 4 2 2 4 6 8 9 10 10 9 7 7 8 9 10 10 10 9 9 9 10 9 8 8 9 10 9 9 8 9 10 nan
nan 8 9 9 9 9 8 8 8 8 9 9 10 11 11 13 13 12 11 10 9 7 8 9 10 10 9 8 7 8 9 10 9 9 10 11 12 12 10 10 10 11 11 11 12 12 12 14 14 12 10 9 7 8 8 7 7 7 8 11 12 11 11 10 10 9 8 7 7 7 7 8 11 11 12 12 12 12 9 6 4 3 2 2 4 5 6 5 3 3 4 6 8 10 10 10 10 9 8 8 9 9 11 11 10 10 10 10 9 10 9 8 9 10 11 12 10 9 10 nan
nan 8 8 8 9 9 9 9 8 7 8 8 9 10 11 12 11 9 7 7 6 6 8 9 9 8 7 6 8 10 11 11 10 10 13 14 12 10 9 10 11 10 9 9 10 11 12 13 12 11 9 8 7 8 7 8 10 11 11 10 10 10 11 10 9 9 8 7 6 5 6 8 10 11 12 13 13 12 10 8 7 6 5 3 3 4 4 4 3 3 5 8 10 9 8 8 8 9 9 9 9 9 10 10 10 10 11 10 10 11 10 9 8 9 10 11 10 8 8 nan
nan 8 8 8 8 9 10 10 8 7 8 9 9 10 11 9 7 6 6 6 6 7 9 10 10 9 8 8 10 12 12 10 9 11 13 13 10 8 9 10 11 10 10 9 11 12 13 13 12 10 8 6 7 6 6 8 9 10 10 8 7 8 8 8 8 8 9 8 7 5 5 6 7 9 11 12 11 9 8 7 8 9 9 6 4 3 3 3 3 4 5 6 7 6 5 5 5 7 7 8 7 8 8 7 8 8 9 10 11 11 11 9 9 9 10 10 9 8 7 nan
nan 9 9 9 9 9 10 9 8 8 8 9 10 10 9 7 6 5 6 7 8 9 11 12 12 10 10 11 12 10 8 7 8 10 11 9 8 9 11 11 11 11 10 11 12 14 15 15 13 10 7 5 4 5 5 6 6 8 8 7 7 7 8 8 8 7 7 7 7 6 5 5 6 8 11 12 11 8 6 6 7 9 9 9 7 6 6 6 5 5 5 5 4 3 3 3 3 4 5 6 5 5 5 5 5 5 5 7 9 10 11 8 8 9 9 9 8 7 9 nan
nan 10 10 10 9 9 10 9 8 8 9 9 9 8 7 6 5 5 5 6 8 10 12 13 12 11 12 13 11 8 6 7 8 9 8 8 9 11 11 12 11 11 10 10 11 13 15 14 12 9 6 4 4 5 6 5 5 5 5 7 8 9 9 8 7 6 6 7 7 8 8 7 8 9 11 13 12 10 8 7 6 7 8 8 7 7 7 8 8 7 7 6 6 6 6 6 4 3 4 5 6 5 5 5 5 5 5 4 5 7 9 10 10 10 10 10 9 9 10 nan
nan 10 10 9 8 8 9 9 8 8 8 8 8 7 6 5 5 5 6 8 11 11 11 12 12 12 13 13 10 8 7 7 7 8 9 10 10 10 11 11 10 9 9 9 10 11 11 11 11 8 5 5 7 9 9 7 6 4 4 6 8 9 8 8 8 8 8 9 9 10 10 10 9 9 10 12 12 12 10 9 8 8 8 8 7 5 6 7 8 9 9 8 9 9 9 9 8 5 4 6 7 8 7 7 7 7 7 6 5 5 7 11 13 15 15 15 13 12 10 nan
nan 8 7 8 8 8 8 9 8 8 8 8 7 6 6 6 6 7 7 10 12 10 10 10 10 11 12 11 9 8 7 7 8 9 10 10 10 9 9 9 7 6 6 7 9 9 9 10 10 8 8 11 12 12 11 10 8 6 5 5 6 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 10 11 11 11 11 10 10 11 9 7 5 6 8 8 8 7 8 9 10 10 9 7 6 7 9 10 10 10 10 10 11 11 9 7 7 10 12 14 15 16 17 13 10 nan
nan 7 7 7 7 8 8 8 8 8 8 8 7 6 7 7 7 7 9 11 11 10 9 9 10 10 11 10 9 9 8 8 8 10 11 10 10 10 10 8 6 6 7 8 10 11 12 11 10 9 12 14 14 13 12 10 9 8 7 6 7 9 9 9 9 9 8 8 9 10 11 12 11 11 10 7 8 10 12 13 12 11 10 10 11 10 8 8 8 8 7 6 6 7 8 9 9 8 8 8 9 11 12 12 12 13 14 14 13 9 6 7 9 9 9 10 12 12 11 nan
nan 6 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 9 11 11 10 9 10 10 11 10 10 9 9 10 10 10 10 11 11 10 10 11 10 8 8 9 11 11 14 15 15 13 10 9 9 10 11 12 11 9 9 9 8 9 11 12 10 9 9 9 9 10 10 11 12 13 14 13 11 9 9 11 12 11 11 10 9 10 11 11 10 9 8 8 7 6 6 6 7 8 8 8 8 8 8 9 12 13 13 14 14 15 14 11 8 6 6 6 4 4 6 8 9 nan
nan 5 5 7 7 8 8 7 7 8 9 9 9 9 9 9 10 11 13 13 10 9 10 10 9 8 8 8 9 11 11 10 10 10 9 9 9 10 9 10 10 11 12 13 14 15 15 13 10 8 8 9 9 10 11 11 10 10 11 12 12 11 9 9 9 10 11 12 12 11 10 11 12 14 13 13 12 11 10 9 9 9 10 10 10 11 10 8 7 7 7 8 7 6 6 7 8 8 8 6 6 8 9 11 11 11 12 14 14 12 10 8 6 6 5 5 5 6 6 nan
nan 7 7 7 8 8 7 8 8 9 9 9 8 8 9 10 11 13 14 14 10 9 9 9 9 8 8 8 10 10 9 8 8 8 8 8 10 11 11 10 10 11 12 13 16 17 16 13 11 12 13 12 11 10 11 12 12 12 13 13 12 11 12 12 12 13 13 13 11 10 9 8 8 10 11 11 12 12 11 9 8 10 10 9 9 8 7 6 6 8 9 10 9 8 8 7 9 9 7 6 6 6 6 8 10 11 12 12 13 12 11 9 7 7 8 7 5 5 5 nan
nan 9 9 8 8 8 8 8 8 9 9 8 8 9 11 11 10 13 16 14 10 8 8 8 9 9 9 9 9 9 8 7 8 8 9 10 12 12 10 10 11 12 13 16 19 20 17 15 15 16 16 14 13 13 12 12 11 12 12 13 12 12 13 14 15 15 13 11 10 9 8 7 6 6 8 9 10 11 11 10 9 9 9 8 7 7 7 7 8 8 10 10 10 10 10 10 11 11 10 8 6 5 6 8 11 12 13 13 12 12 11 9 8 7 7 7 6 5 5 nan
nan 9 9 8 8 8 8 7 7 7 7 8 9 11 10 10 10 13 15 12 8 7 6 7 8 9 9 9 9 9 9 9 9 9 10 11 13 11 10 12 15 16 17 19 21 19 17 17 17 16 16 16 15 15 15 15 14 15 14 13 12 12 13 15 17 17 13 11 10 10 10 11 9 9 8 8 9 9 10 11 11 11 10 10 9 9 10 10 10 10 10 10 11 12 12 12 13 13 13 12 10 8 8 9 10 12 12 12 11 11 10 9 8 7 7 7 8 7 7 nan
nan 8 8 7 7 6 7 6 6 6 8 9 10 10 9 9 11 13 15 11 7 5 6 8 9 9 10 10 10 10 11 11 10 9 11 13 13 11 12 15 19 20 20 19 17 16 14 14 14 14 15 15 15 17 17 18 18 18 17 15 14 13 13 14 16 16 14 14 13 13 13 13 11 10 10 10 8 8 9 11 12 13 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 13 13 14 14 13 11 10 10 11 10 10 10 10 9 8 9 8 7 8 8 8 8 nan
nan 7 7 7 6 6 7 6 7 7 8 9 9 9 10 12 12 14 14 9 5 6 9 10 10 10 11 11 11 11 13 12 10 11 12 14 13 12 14 18 20 19 15 12 11 11 11 12 13 14 13 13 14 14 15 17 18 17 17 16 16 15 14 14 13 14 16 17 17 17 16 14 13 12 12 11 10 10 11 11 12 13 13 13 14 15 14 14 13 13 13 12 11 11 11 10 9 8 9 11 13 15 15 13 12 12 12 11 11 11 10 9 9 9 8 7 7 7 7 nan
nan 7 7 7 6 7 7 7 8 8 8 9 9 10 12 12 12 12 12 8 6 9 12 13 12 11 11 11 10 12 13 12 11 11 11 12 12 12 14 17 17 13 10 10 11 13 15 15 14 13 12 11 11 12 13 15 17 17 16 16 15 14 14 14 13 14 16 18 18 18 16 15 14 14 14 14 14 13 12 12 13 13 15 15 16 17 17 15 14 13 12 10 11 12 13 12 9 6 6 7 9 12 14 14 14 14 14 14 13 12 10 9 8 8 8 7 7 7 7 nan
nan 7 7 6 7 7 7 7 8 8 8 9 10 12 13 12 11 11 9 7 8 12 13 11 10 11 11 11 12 14 14 14 13 12 11 11 12 12 13 14 14 12 12 14 17 18 18 16 13 11 9 10 11 12 14 15 16 17 17 16 13 13 13 12 13 14 14 15 16 15 14 12 12 13 14 15 15 15 15 14 13 13 14 16 17 19 19 17 15 12 11 9 9 11 13 13 12 10 9 8 9 10 12 14 15 14 14 14 14 12 11 9 8 8 7 8 8 8 8 nan
nan 7 7 7 7 7 7 8 8 8 9 10 11 13 12 11 11 10 8 7 9 10 11 10 9 10 11 12 14 16 18 16 14 13 13 14 13 13 13 15 16 15 15 17 18 17 14 8 3 -0 2 6 10 14 14 14 15 15 16 14 12 11 12 12 12 13 12 12 12 12 12 12 13 12 12 14 15 16 17 16 15 14 14 15 16 18 18 18 16 13 11 8 5 4 6 9 12 13 13 13 12 12 13 16 15 13 12 11 10 10 11 10 9 8 8 8 9 9 8 nan
nan 7 7 7 7 7 8 9 8 9 10 10 11 13 12 10 10 9 8 9 10 11 11 10 11 11 11 12 14 17 18 14 12 12 13 14 13 13 14 16 16 16 16 17 16 13 7 1 -3 -3 0 5 9 11 12 13 13 13 12 11 12 13 13 12 12 12 12 11 11 12 13 14 14 13 11 11 12 13 14 16 16 15 14 14 14 14 14 14 12 11 9 7 4 0 -2 0 6 12 15 15 14 12 13 13 12 11 9 8 8 8 9 10 9 9 9 9 8 8 8 nan
nan 7 7 7 7 8 9 9 9 9 9 9 10 12 12 10 8 8 9 11 12 11 11 10 11 11 11 11 13 15 13 10 9 10 13 13 12 12 13 15 16 15 15 14 13 10 4 1 4 6 7 11 11 7 9 12 12 11 12 12 13 14 14 14 13 14 14 14 14 15 15 16 16 14 13 11 10 10 11 13 14 15 16 16 15 14 12 11 10 9 7 7 6 3 -1 -1 3 8 12 14 13 10 8 6 4 4 4 6 7 8 9 9 10 11 11 10 9 9 8 nan
nan 7 7 8 8 8 9 9 7 7 7 8 11 13 11 10 10 12 13 12 12 11 11 10 12 13 11 10 11 11 11 10 10 11 14 13 11 11 12 14 14 14 14 12 9 4 0 2 5 9 12 13 10 8 11 13 14 13 13 13 14 14 14 14 15 15 14 15 15 14 14 14 15 15 14 13 12 11 11 14 15 14 14 15 15 14 13 12 11 10 9 9 9 10 8 6 5 6 8 10 11 9 5 1 -1 -0 3 6 7 7 7 8 10 11 12 11 10 10 10 nan
nan 7 8 8 8 8 8 8 7 7 8 11 13 13 12 12 14 15 13 11 11 11 11 12 14 14 11 9 10 11 12 12 11 13 15 14 11 10 11 13 14 13 11 9 5 -1 -2 2 6 9 11 10 10 12 14 14 12 12 13 13 13 13 14 15 15 15 14 13 12 12 12 12 12 13 14 15 15 14 14 16 16 13 10 10 10 11 13 14 14 13 12 12 12 13 13 11 8 6 5 6 7 8 5 1 -2 0 4 6 7 8 9 9 8 9 10 11 10 9 10 nan
nan 7 8 8 7 7 7 7 8 9 10 12 14 13 12 13 14 14 11 9 9 10 12 14 14 11 9 8 10 11 11 11 13 16 16 13 11 11 12 14 13 10 9 7 2 -2 1 5 7 9 8 8 9 10 11 9 8 11 13 13 13 14 14 15 15 14 13 13 12 11 11 10 11 13 14 16 16 16 15 15 15 15 14 12 10 10 12 13 14 15 15 15 15 14 14 12 10 7 5 3 4 6 6 3 1 1 3 4 7 8 10 11 9 7 8 9 11 9 8 nan
nan 9 8 7 7 7 8 10 10 11 12 14 14 13 13 13 14 14 12 10 10 10 12 13 10 8 7 9 10 11 11 12 15 17 14 10 10 11 13 13 11 10 9 6 2 -0 3 5 7 7 7 6 7 7 6 8 12 14 14 13 12 13 13 14 13 13 13 13 13 13 12 11 12 13 14 15 16 15 14 14 15 17 19 17 13 13 14 14 13 14 15 16 17 15 12 11 9 7 6 5 5 6 7 7 5 3 1 0 1 4 8 9 10 9 7 8 10 10 9 nan
nan 10 8 7 7 8 10 12 12 12 12 13 12 12 12 13 13 13 12 11 11 11 11 10 8 8 8 10 12 11 12 14 16 15 11 10 10 12 13 12 11 9 8 6 1 -2 2 5 7 6 6 6 7 8 7 13 20 20 17 13 11 11 12 13 12 12 13 14 15 15 14 13 13 13 15 16 16 15 15 15 15 16 18 17 13 12 14 13 12 13 13 13 14 14 12 10 9 8 8 8 8 9 10 10 9 7 4 1 -3 -3 1 5 7 9 9 10 11 11 11 nan
nan 10 8 7 8 10 12 12 11 11 11 11 11 12 12 12 12 12 11 10 10 10 9 7 8 10 11 12 13 12 13 15 15 12 10 10 12 13 12 11 9 8 8 6 1 1 4 6 6 6 6 7 8 9 10 17 24 22 15 9 10 12 13 12 12 12 14 14 14 15 15 15 14 15 16 16 17 18 16 15 13 15 17 17 14 11 12 12 11 11 11 9 8 9 9 9 9 10 10 10 10 13 16 16 14 12 11 8 2 -2 -2 -0 3 6 9 11 13 12 11 nan
nan 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 9 9 8 8 10 12 13 13 13 13 13 13 13 11 11 11 12 12 11 9 9 9 10 8 4 4 5 6 6 7 8 9 10 10 11 18 22 18 11 8 11 13 12 11 12 13 13 13 13 12 12 13 13 14 14 16 18 18 17 16 14 15 18 19 17 14 12 12 10 9 9 8 7 6 6 7 8 9 9 9 8 12 17 18 17 16 15 14 12 9 6 3 2 3 6 8 10 12 12 nan
nan 10 10 10 9 9 11 12 12 11 11 10 10 11 12 12 12 12 11 9 8 9 9 9 11 12 13 13 13 13 13 12 11 12 12 12 12 12 11 10 10 11 11 8 3 2 4 6 8 9 10 10 11 12 12 17 20 17 13 13 14 14 13 12 13 13 13 12 11 9 8 8 10 10 11 13 15 16 17 18 18 17 18 18 16 15 14 13 11 10 9 10 10 10 9 9 9 9 9 8 6 7 10 12 13 14 15 15 15 15 14 12 6 3 5 7 8 10 12 nan
nan 10 10 9 9 10 12 13 12 11 9 9 9 11 13 13 14 14 12 10 9 10 11 11 12 13 13 14 13 12 12 12 11 11 11 11 11 11 10 11 11 12 11 6 0 1 4 8 10 11 12 12 12 12 14 21 24 21 16 14 14 14 14 13 13 14 13 11 9 7 6 7 8 8 9 10 12 12 14 16 18 19 20 20 18 18 18 16 14 13 14 15 14 12 12 13 13 13 13 12 10 7 7 9 10 10 11 12 12 13 14 14 12 9 8 9 11 11 11 nan
nan 10 10 9 10 11 12 13 11 10 9 8 9 11 13 13 14 15 13 11 10 10 12 13 14 14 13 12 11 11 11 11 9 9 10 10 11 11 10 10 11 11 10 1 -2 1 6 10 12 12 13 13 13 12 15 21 23 20 15 12 12 12 12 12 12 13 12 11 10 9 9 9 9 9 10 11 10 10 10 12 14 16 17 19 20 20 21 20 17 14 16 16 15 11 10 10 12 13 13 13 12 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 nan
nan 10 9 9 10 11 11 11 11 11 9 8 9 11 12 11 13 15 13 10 9 11 13 12 12 12 11 11 10 10 10 9 8 9 10 11 10 10 11 10 9 10 6 -2 -2 3 9 12 13 12 12 13 12 12 17 24 27 20 12 12 12 11 12 12 12 12 11 11 11 12 12 11 11 12 12 12 11 10 10 9 9 10 12 14 16 17 20 21 18 14 12 14 13 10 7 5 5 6 7 10 11 11 12 12 13 15 15 15 17 17 15 13 10 10 11 12 13 13 14 nan
nan 10 10 10 11 11 10 10 11 11 10 9 9 10 11 11 13 15 13 9 8 11 11 11 10 9 9 11 11 11 10 9 10 10 11 11 10 10 10 10 9 10 5 0 3 8 11 13 12 12 12 12 12 14 23 30 27 16 11 13 14 13 12 12 12 12 12 12 12 13 13 12 11 13 13 12 11 11 10 9 8 7 8 9 11 14 17 19 18 16 13 12 12 11 9 6 4 3 4 7 11 13 14 14 14 15 16 18 19 20 18 15 12 11 11 13 14 15 18 nan
nan 11 10 10 10 9 9 10 11 11 10 10 10 10 10 12 15 15 11 8 10 11 10 11 10 9 10 12 12 11 11 10 10 11 11 11 10 10 10 10 11 11 7 5 7 10 11 12 12 11 11 10 9 15 25 25 17 10 11 14 14 13 11 11 12 12 13 13 14 16 15 14 13 12 11 10 10 10 10 9 8 7 7 8 8 10 12 14 15 15 13 12 13 15 15 14 12 9 7 8 11 13 13 13 13 12 13 15 17 17 16 14 13 11 10 12 14 16 18 nan
nan 11 11 10 9 8 9 10 11 12 12 12 11 11 12 14 16 12 9 8 11 12 10 10 10 10 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 9 7 8 10 12 12 11 10 10 9 10 17 23 21 14 10 12 14 13 12 10 10 12 13 13 14 16 18 17 16 13 10 9 8 7 7 7 8 7 8 8 9 8 7 6 7 9 11 12 11 13 18 20 21 20 17 14 10 9 10 11 11 11 10 9 11 14 15 15 15 15 14 13 11 13 14 15 nan
nan 11 10 10 8 8 9 10 12 13 14 13 12 11 11 14 14 10 9 9 10 11 11 10 10 11 12 12 11 10 9 10 11 10 10 10 10 11 11 11 11 11 10 9 8 10 11 11 10 9 8 8 13 20 22 20 15 13 14 14 11 9 9 10 11 12 13 14 15 16 15 14 12 10 8 4 2 3 4 6 7 8 9 9 9 7 5 3 4 7 8 8 11 15 19 21 22 22 20 15 11 11 11 10 9 8 7 7 8 11 15 19 20 20 20 18 18 17 15 nan
nan 11 10 9 7 8 9 10 12 13 13 12 11 11 10 12 12 10 9 9 11 11 10 9 10 12 13 12 10 10 9 11 12 11 10 10 11 10 8 7 8 11 11 10 8 8 10 10 9 8 8 8 12 18 20 17 14 15 15 12 9 8 9 11 12 13 14 14 15 14 13 13 12 11 9 7 6 6 5 6 7 8 9 9 9 8 5 3 4 5 6 7 9 13 16 18 20 22 22 20 17 14 11 9 8 8 8 8 8 10 14 18 20 19 22 24 25 22 20 nan
nan 11 9 7 8 8 9 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 10 11 12 13 13 12 10 9 10 10 11 11 11 11 12 6 0 5 13 14 12 11 9 9 9 9 8 8 8 9 9 13 18 17 15 15 13 11 8 8 10 11 11 12 13 13 13 14 15 14 13 13 14 15 16 15 13 10 8 7 7 10 9 8 5 5 6 6 7 7 8 11 13 15 17 19 21 22 20 18 14 12 10 10 11 13 14 13 12 12 13 13 14 17 21 21 19 nan
nan 10 7 7 8 9 10 9 9 10 12 14 15 13 11 9 9 9 9 10 11 12 12 12 12 12 11 10 9 9 9 10 11 11 12 12 12 6 2 11 22 18 13 11 11 10 9 7 7 7 8 9 9 12 19 20 16 15 13 10 9 9 9 9 9 11 12 12 12 13 15 15 14 15 16 18 21 23 21 19 15 10 7 7 6 6 6 7 8 8 9 8 9 10 11 13 14 14 16 19 20 19 17 15 14 14 15 17 17 16 15 12 11 9 7 8 9 11 11 nan
nan 9 8 8 8 9 9 8 8 10 14 16 16 12 8 7 7 9 10 12 13 13 12 11 10 10 9 9 9 8 8 10 12 12 12 13 12 10 10 17 21 15 12 11 11 9 8 7 7 7 8 10 11 13 18 21 17 14 12 10 9 8 8 8 9 11 12 11 11 12 13 14 13 13 14 16 20 23 26 27 22 15 10 7 6 7 9 10 10 10 10 8 8 9 10 10 10 11 12 13 15 16 16 16 14 14 17 18 19 20 21 20 17 13 8 6 4 3 3 nan
nan 8 7 7 8 8 8 8 9 11 15 15 12 9 7 7 8 9 10 13 14 12 10 8 7 9 10 9 8 7 8 11 12 12 12 13 11 11 12 14 13 11 11 10 10 10 10 8 6 7 8 10 12 13 16 20 18 13 11 10 9 8 9 10 12 14 13 12 11 11 12 12 12 13 15 16 17 19 22 24 22 16 12 10 9 10 11 12 13 12 11 8 7 7 8 8 8 9 10 10 11 12 13 11 9 9 12 14 15 18 23 26 25 22 16 11 8 5 5 nan
nan 8 8 8 9 9 9 10 12 13 12 11 10 9 9 9 9 9 10 12 13 11 8 7 6 8 8 8 8 8 10 12 12 12 12 12 11 11 12 12 12 13 12 10 10 10 9 7 6 6 7 9 12 12 13 19 21 16 12 11 10 10 10 12 13 14 13 12 12 11 12 12 13 14 16 16 15 14 15 15 14 12 11 10 10 10 11 11 12 11 10 9 8 7 8 9 9 8 9 8 9 10 10 8 5 5 7 8 6 9 17 23 26 28 26 21 17 13 11 nan
nan 9 10 10 11 12 11 10 11 10 8 8 9 10 10 10 10 10 12 13 12 8 5 5 7 7 7 9 11 12 12 12 13 13 12 12 13 13 12 11 13 15 13 9 9 9 8 7 5 5 7 9 10 10 8 16 24 21 15 12 11 12 12 11 11 12 12 13 13 12 12 13 13 14 15 14 13 13 12 12 11 10 9 9 9 9 9 9 8 8 8 8 9 8 7 9 10 9 9 9 9 10 11 9 7 5 6 7 5 5 10 14 17 20 25 28 26 22 18 nan
nan 11 11 12 13 12 11 9 8 7 7 8 9 10 10 10 11 12 13 13 9 5 4 5 8 9 10 12 14 13 11 11 12 13 12 11 13 14 13 12 13 14 14 11 9 8 8 7 7 9 9 8 8 8 8 14 23 24 18 13 11 12 12 10 10 12 12 12 12 12 11 12 12 12 12 12 12 11 13 14 12 9 9 8 8 7 7 7 7 7 7 8 10 7 5 9 11 11 10 11 12 13 10 7 7 7 7 7 7 6 8 9 9 11 15 20 23 24 22 nan
nan 11 11 13 13 12 10 8 7 7 8 9 11 11 11 11 11 12 12 10 6 4 5 7 9 10 12 13 14 13 11 10 10 11 12 12 13 14 13 12 13 14 14 13 10 7 8 9 9 10 9 8 7 7 7 12 20 24 19 11 10 9 8 7 9 12 12 11 11 11 11 12 12 12 13 12 11 10 11 11 10 9 9 9 7 7 7 7 7 8 9 10 11 9 7 9 12 11 10 10 10 11 9 6 5 6 7 8 8 8 8 9 10 11 11 11 14 17 19 nan
nan 11 11 11 11 11 9 8 7 7 8 10 11 11 12 12 11 10 10 8 6 6 7 9 10 12 13 13 14 12 10 10 10 11 13 14 14 14 12 11 12 12 12 12 11 8 7 8 9 9 8 7 5 5 6 10 14 18 13 4 1 -1 1 7 12 14 13 11 10 11 12 12 12 14 13 11 10 10 9 8 8 9 10 9 9 8 8 8 8 9 10 12 14 15 14 13 13 11 8 6 6 7 8 8 8 6 7 9 8 8 8 9 11 12 11 11 11 13 15 nan
nan 10 10 10 10 10 9 8 7 8 9 10 11 11 11 12 12 12 10 8 9 9 10 10 12 14 14 14 13 11 10 11 12 12 13 14 13 12 10 10 11 12 12 13 12 9 7 9 10 9 7 4 2 3 6 8 10 10 10 6 -1 -3 4 17 20 17 13 11 13 13 13 13 14 12 10 10 11 11 7 5 5 8 10 10 10 10 10 11 11 11 10 11 16 20 19 17 15 12 10 7 6 6 9 9 8 6 7 8 8 7 8 9 10 11 11 11 12 13 12 nan
nan 9 9 9 10 11 10 8 7 8 10 10 11 10 11 13 14 13 10 9 10 13 13 11 13 15 15 13 11 11 11 12 11 11 13 14 13 11 11 11 10 11 12 13 12 10 9 12 14 9 3 -1 -1 3 7 10 12 13 13 11 9 10 19 27 24 18 13 13 14 15 14 13 13 11 10 9 9 5 -1 -1 4 9 11 11 12 12 13 14 14 14 14 11 10 11 12 13 12 11 10 9 8 8 7 6 6 6 7 7 7 8 10 11 10 10 10 11 11 10 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
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 4 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 17 16 13 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 6 2 4 2 0 1 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 17 29 28 22 17 12 6 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 1 4 8 10 10 9 7 5 4 3 3 4 1 0 0 0 0 0 0 0 0 0 0 0 1 4 13 25 36 38 29 18 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 15 17 17 13 9 7 5 5 3 1 1 1 0 0 0 0 0 0 0 0 2 8 18 27 36 40 39 32 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 22 25 25 22 18 13 11 9 6 4 4 5 4 1 0 0 0 0 0 0 1 4 10 18 26 30 28 27 33 19 7 2 1 0 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 0 0 0 0 0 1 8 19 26 29 29 25 18 15 12 9 7 7 8 9 7 1 0 0 0 0 0 0 0 1 7 13 14 10 6 5 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 22 27 29 27 21 17 13 10 8 7 7 9 10 8 5 2 1 0 0 0 0 0 2 4 4 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 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 20 26 30 30 26 20 14 10 7 5 5 7 8 10 10 8 5 2 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 20 26 30 31 28 22 16 10 4 2 2 3 5 6 7 8 8 4 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 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 16 25 30 31 26 21 15 8 2 0 0 0 2 2 3 6 9 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 11 18 24 24 21 17 12 6 1 0 0 0 3 6 9 12 14 10 5 2 1 0 0 0 0 0 0 0 1 2 2 1 0 0 3 8 5 2 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 2 7 11 11 9 7 4 2 0 0 0 1 3 7 12 17 19 17 13 9 5 0 0 0 0 0 0 0 0 2 3 2 0 0 4 11 14 12 8 5 4 3 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 0 0 0 0 1 4 12 18 22 22 20 17 12 6 2 1 0 0 0 0 0 0 1 1 0 0 2 4 13 23 25 23 21 16 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 2 10 18 23 23 22 19 17 13 8 4 1 0 0 0 0 0 0 0 0 0 1 0 3 15 24 28 28 23 14 6 3 2 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 0 0 0 0 0 0 0 2 5 7 6 4 0 0 0 0 0 0 0 3 11 18 22 23 21 19 17 15 12 8 5 3 1 0 0 0 0 0 0 0 0 0 0 4 8 11 13 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 13 14 12 7 2 1 0 0 0 2 8 16 20 21 20 20 19 20 19 14 10 8 8 6 3 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 11 17 21 21 17 10 5 3 2 2 4 12 16 14 10 10 13 15 18 20 18 14 12 11 10 10 9 8 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 12 19 26 28 26 23 18 14 12 10 12 15 13 7 2 2 7 11 16 19 21 21 20 19 18 17 15 13 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 12 19 25 29 31 31 30 27 23 19 19 18 14 8 4 4 8 13 17 20 21 24 27 30 32 30 25 18 12 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 15 20 24 26 30 33 33 30 27 26 23 18 13 8 8 12 17 19 20 21 24 30 37 42 40 33 22 12 8 7 4 2 0 0 1 1 1 0 1 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 0 0 0 0 0 0 0 0 2 3 5 6 8 10 14 17 19 24 28 30 31 32 31 28 23 17 11 10 16 21 23 23 22 25 32 39 43 42 35 23 12 7 5 4 2 0 0 1 2 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 4 6 8 10 14 18 23 28 30 31 29 27 22 15 15 21 26 28 28 28 30 34 37 38 36 30 22 14 9 6 4 4 0 0 2 3 3 3 5 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 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 5 6 5 3 1 0 0 0 1 2 6 11 15 21 26 28 29 29 27 22 22 27 32 35 36 36 38 39 37 31 25 20 17 14 13 11 8 6 2 1 1 3 4 4 6 9 7 4 2 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 1 1 1 1 0 1 1 1 1 2 2 3 3 4 3 3 2 1 1 0 1 1 1 0 0 0 0 0 0 0 1 2 3 4 4 6 8 10 10 9 7 3 0 0 0 0 0 2 8 13 19 24 28 31 32 31 29 30 34 39 42 42 43 46 47 42 30 16 12 13 16 18 18 16 11 5 1 0 1 2 4 7 10 9 6 3 1 0 2 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 1 2 2 3 3 4 4 3 3 3 3 3 4 4 4 4 5 4 4 4 3 2 2 2 1 0 0 0 0 0 0 1 3 5 6 7 8 9 12 13 14 13 10 6 2 1 0 0 0 1 5 12 19 25 30 34 37 39 39 39 41 45 47 46 47 49 50 44 30 16 12 14 18 22 25 25 20 11 4 0 0 0 5 8 10 11 8 5 2 3 4 6 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 0 1 2 3 3 4 4 5 6 6 5 5 6 5 5 4 5 6 7 7 7 7 7 6 5 4 2 1 1 0 0 0 0 0 2 6 9 10 11 11 12 14 15 16 14 11 9 6 3 1 0 0 1 4 10 17 24 30 36 42 43 42 42 42 44 43 43 45 47 46 41 29 20 16 16 18 24 31 34 29 19 8 2 0 0 5 8 10 9 9 5 5 6 8 9 8 2 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 3 4 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 3 2 2 1 1 2 3 6 8 11 12 12 12 14 15 16 17 16 13 11 9 7 4 2 2 2 4 10 16 23 31 39 44 45 44 42 39 37 36 36 38 41 42 37 29 24 21 20 22 30 39 44 39 29 16 5 1 2 5 6 7 8 8 4 4 6 8 10 10 5 2 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 6 8 9 9 10 10 10 10 9 9 8 8 8 9 9 10 11 11 11 10 9 8 7 6 5 5 6 6 7 8 10 11 12 13 13 13 14 15 16 16 16 15 14 13 11 8 6 4 4 5 9 15 23 31 39 42 41 38 34 31 29 27 28 31 36 37 34 29 25 24 25 29 38 48 53 50 40 27 13 6 5 10 12 11 16 13 9 5 5 7 10 10 10 7 2 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 4 6 8 9 9 10 10 10 9 9 8 7 7 8 9 10 12 14 14 12 11 10 9 8 8 9 10 11 12 12 12 13 13 13 13 12 12 12 12 13 14 15 15 15 14 13 11 9 8 6 5 6 11 17 25 31 33 32 30 26 24 22 20 21 27 32 32 31 29 28 28 31 36 43 51 55 55 50 39 26 17 13 16 23 24 25 23 18 13 8 10 15 16 16 11 3 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 4 6 8 9 8 8 9 10 10 9 8 7 7 8 10 12 14 15 13 12 11 10 10 10 11 12 14 15 15 15 14 14 14 14 13 13 12 11 11 12 13 14 14 14 14 12 11 11 9 6 4 4 6 9 13 16 18 19 19 17 17 16 15 17 22 27 28 28 28 29 31 33 38 43 48 50 51 51 45 36 28 23 22 26 29 28 25 23 23 19 26 29 28 24 15 5 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 5 7 8 7 7 8 9 10 9 9 8 8 9 12 15 15 14 13 12 12 12 12 12 12 13 15 16 16 15 15 15 15 15 15 15 14 14 14 14 14 16 16 15 14 12 11 11 9 6 4 4 4 4 6 5 4 6 7 8 9 11 12 13 16 22 24 26 27 29 30 30 35 40 43 44 45 46 45 40 35 28 24 22 27 28 24 22 25 25 36 42 40 33 25 15 4 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 4 6 6 7 8 9 9 8 8 7 8 10 13 15 15 15 15 15 15 15 14 13 12 13 14 16 16 15 16 16 16 17 17 17 17 17 17 17 18 18 18 17 15 12 11 12 9 6 5 5 4 4 4 2 1 0 1 2 5 9 11 10 11 16 20 24 27 27 27 28 30 33 37 40 40 41 43 42 39 33 28 24 24 27 28 25 22 27 39 48 49 43 34 24 9 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 2 2 2 4 6 7 7 7 7 7 6 6 8 11 14 16 16 17 17 17 17 16 15 14 13 13 15 18 18 17 16 16 16 17 18 18 18 18 18 18 19 19 20 19 16 12 12 12 9 6 5 4 2 2 2 1 0 0 0 1 4 10 13 12 12 15 18 22 25 26 27 26 25 26 30 36 37 37 40 42 41 36 32 29 28 31 35 36 32 35 44 52 54 46 35 26 13 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 3 4 5 6 6 6 6 6 6 7 9 12 14 15 16 16 15 15 14 15 14 14 14 15 17 19 20 20 19 18 18 19 19 19 19 18 18 17 18 19 20 19 17 13 13 11 7 4 2 1 1 1 1 0 0 0 0 0 5 12 16 16 18 19 21 22 24 27 28 26 22 20 23 31 32 32 34 37 38 37 35 34 37 41 46 48 45 44 50 56 54 45 33 25 17 9
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 4 4 4 5 5 5 5 6 8 11 13 13 14 14 12 11 11 11 12 13 14 15 16 17 18 21 22 21 21 20 20 20 19 18 18 18 18 18 19 20 19 17 14 10 6 4 2 1 0 0 0 0 0 0 0 0 1 7 14 20 22 25 27 27 26 26 30 29 26 23 20 21 26 27 26 27 30 33 34 36 40 47 56 60 62 61 60 59 57 52 45 36 27 20 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 4 4 5 5 7 9 11 12 12 12 10 9 8 9 10 11 12 14 16 16 16 15 17 18 19 20 20 20 19 17 16 16 17 18 18 19 20 18 15 10 6 3 1 0 1 1 0 0 0 0 0 0 1 4 12 21 28 31 33 35 36 35 33 34 32 29 28 28 27 26 24 22 22 24 28 32 38 46 56 69 75 76 76 72 64 55 47 42 37 30 21 18
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 5 6 8 10 11 11 10 9 8 8 8 9 10 11 12 14 16 17 16 15 15 15 16 17 18 17 16 14 13 13 14 17 19 20 20 18 13 8 4 2 2 1 2 2 1 0 0 0 0 1 4 10 18 30 38 40 42 43 44 44 45 43 40 38 38 39 37 33 29 26 25 27 27 31 38 48 61 75 84 88 87 80 69 56 45 39 35 31 22 18
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 1 2 2 3 4 6 8 10 10 10 9 9 8 8 8 9 10 12 13 15 18 19 20 20 20 20 20 19 19 18 17 16 14 13 13 14 15 17 20 20 18 14 10 6 5 4 4 4 4 3 2 2 1 2 4 9 15 23 36 44 49 51 53 54 54 56 55 53 51 50 48 46 42 38 34 32 30 28 31 38 49 63 76 86 90 90 83 66 56 46 37 32 27 20 14
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 8 10 10 9 7 7 7 8 10 12 13 16 18 21 23 25 26 26 27 26 25 24 22 21 20 18 16 14 13 14 15 18 21 23 23 19 14 11 9 8 8 7 6 6 5 5 5 6 8 13 20 27 37 47 56 61 64 65 64 65 66 65 63 59 53 48 44 40 35 30 25 22 23 31 44 59 71 78 82 81 71 62 54 45 37 29 22 18 11
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 1 1 1 0 0 2 3 4 5 6 9 10 9 7 6 6 7 9 11 14 18 21 24 26 28 30 30 31 30 28 26 25 24 24 22 21 19 17 16 16 18 22 27 30 30 26 21 17 14 12 12 12 12 13 12 12 11 11 13 18 24 30 38 49 60 68 74 75 75 76 76 73 68 61 52 43 37 32 28 21 15 12 15 24 37 51 60 66 68 64 57 51 46 40 34 26 19 15 11
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 1 1 1 1 2 3 5 6 6 6 8 9 8 6 5 5 6 9 12 16 20 23 25 26 27 29 30 29 27 25 23 22 22 22 22 21 19 18 16 17 20 25 31 36 37 33 29 25 22 20 18 19 21 23 24 22 21 20 20 23 28 34 41 51 61 68 74 78 82 84 83 76 67 58 46 34 23 16 14 13 12 13 17 29 40 48 53 56 56 51 48 42 37 33 30 20 15 12 11
0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 1 1 1 2 2 4 5 6 7 7 7 6 6 5 4 5 5 6 7 10 13 17 21 23 24 24 25 25 24 22 21 21 21 22 23 22 21 19 17 14 15 19 25 32 38 41 41 40 38 37 35 32 31 33 36 37 35 32 30 29 31 34 39 45 52 58 63 69 75 79 81 79 73 65 56 44 29 13 3 3 6 12 21 31 44 56 62 63 59 57 53 47 40 33 27 22 12 7 4 3
0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 0 0 0 1 2 2 2 2 4 5 6 7 7 7 7 6 5 5 6 6 6 6 7 9 12 15 18 20 22 23 23 23 22 22 22 23 24 26 26 26 25 24 21 19 19 21 26 32 37 42 46 48 49 49 48 48 47 46 46 47 45 42 40 39 40 41 43 46 49 52 56 60 63 66 67 66 63 62 58 48 35 18 9 6 8 16 29 45 62 77 86 86 78 72 60 49 38 28 20 11 4 1 1 4
0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 0 0 0 0 1 2 3 4 4 5 6 7 7 6 6 6 6 6 7 8 7 8 8 9 11 13 16 18 20 21 22 23 23 24 25 27 28 29 29 30 30 30 29 28 27 27 28 28 31 34 39 44 48 50 50 48 47 46 47 48 50 50 49 47 45 44 42 40 39 39 41 45 50 53 53 51 48 48 51 52 51 46 34 26 25 28 35 47 66 80 91 95 93 85 75 63 51 38 26 16 7 2 0 1 6
0 0 0 0 0 0 0 0 0 1 3 4 3 3 2 1 0 0 0 2 4 5 7 7 7 7 7 6 4 4 4 6 8 10 10 9 10 10 12 14 16 17 17 18 19 21 22 22 22 24 26 30 31 31 31 31 31 30 29 28 28 27 27 27 28 32 36 41 44 45 44 42 42 42 46 49 50 50 47 44 40 35 31 28 26 26 30 36 41 42 40 37 37 39 42 45 47 48 52 58 66 72 81 93 97 96 90 82 70 60 51 42 33 22 12 6 3 1 2 7
0 0 0 0 0 0 0 0 1 2 4 4 4 3 2 2 1 1 2 4 6 8 9 8 8 7 6 5 4 4 5 8 10 11 11 12 12 13 14 15 16 16 16 16 18 20 20 18 16 17 19 23 28 29 30 29 28 26 24 23 21 21 20 20 21 23 25 28 34 37 38 39 40 42 46 49 49 48 43 36 30 26 23 20 18 17 18 22 26 29 29 30 32 35 38 40 44 58 74 89 98 104 107 108 101 86 70 62 55 46 38 31 25 18 11 6 3 2 3 8
0 0 0 0 0 0 0 1 3 4 4 4 4 4 3 2 1 2 4 7 9 10 10 9 8 6 5 4 4 5 7 9 10 11 12 13 13 14 14 15 15 15 15 16 18 18 14 12 10 11 12 15 19 22 23 22 20 18 17 15 14 14 14 15 16 17 19 21 23 27 31 34 38 43 47 49 50 46 37 26 19 16 16 16 16 14 14 14 16 18 21 25 30 36 40 43 51 66 84 99 106 108 107 102 92 76 57 51 46 39 32 25 21 17 12 8 4 3 5 8
0 0 0 0 0 0 1 2 4 4 5 5 5 5 4 3 3 5 8 11 12 11 10 8 7 5 5 5 5 7 9 10 11 11 11 12 13 13 14 14 14 14 15 16 16 13 9 7 7 7 8 9 11 13 14 14 12 12 12 12 11 10 10 11 12 13 15 19 22 24 27 30 35 40 45 48 48 46 35 21 14 11 11 12 12 11 10 10 10 12 15 21 28 34 41 46 54 64 75 85 88 85 80 75 72 66 49 42 37 31 26 23 20 16 13 10 6 6 8 8
0 0 0 0 0 0 2 3 4 5 5 6 6 6 6 5 6 8 11 13 13 11 10 8 6 5 5 6 7 9 11 11 10 10 11 12 13 14 14 14 14 14 15 15 13 9 6 5 5 6 7 7 7 7 7 8 10 11 12 12 11 10 10 10 10 10 12 14 17 21 24 27 31 34 38 41 44 43 36 24 15 11 10 10 10 10 9 8 8 9 11 16 22 29 36 42 47 52 56 58 57 52 46 41 40 41 35 31 27 24 21 19 16 14 13 11 9 9 8 6
0 0 0 0 0 1 3 5 5 6 6 7 8 8 7 7 8 11 13 14 13 11 9 8 6 6 6 7 8 10 11 11 11 11 12 13 14 13 13 13 14 14 15 14 12 8 6 5 6 7 7 7 6 6 5 6 8 9 10 11 10 10 10 10 10 9 9 10 11 14 19 24 28 29 31 36 41 44 41 35 27 20 16 14 14 14 13 12 11 11 11 12 15 20 25 30 35 37 37 35 31 27 22 18 15 14 15 16 17 17 16 13 10 9 10 10 9 8 5 4
0 0 0 0 1 2 5 6 6 6 7 8 8 9 9 9 10 12 13 13 12 10 9 8 8 8 8 9 10 10 11 12 12 13 14 15 14 13 12 12 13 14 14 13 12 9 8 7 8 9 9 9 8 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 11 15 21 24 25 28 34 42 49 52 51 45 37 28 26 24 23 22 21 19 17 15 13 11 11 14 18 22 25 24 22 17 12 8 4 1 1 2 3 3 7 8 7 6 6 8 8 8 6 4 2
0 0 0 0 1 4 6 7 7 8 10 11 11 11 10 10 10 11 12 11 11 10 10 9 8 9 9 10 11 11 11 12 13 14 15 16 16 14 12 12 13 13 13 13 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 7 8 8 9 9 8 8 9 10 12 14 17 18 20 22 27 36 45 54 59 58 52 44 39 37 36 35 34 30 27 23 19 15 13 13 15 17 20 19 17 13 9 4 0 0 0 0 0 0 0 1 2 2 2 4 6 7 6 4 2
0 0 0 1 2 5 7 7 8 10 12 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 13 14 14 15 17 17 16 14 13 13 13 12 12 10 10 11 11 12 12 13 13 14 14 14 14 13 12 11 10 10 10 11 11 11 11 11 12 13 14 15 16 16 18 19 20 28 38 48 55 57 53 49 48 47 47 48 46 42 37 33 28 24 22 21 21 22 23 22 20 18 13 6 2 0 0 0 0 0 0 0 0 0 0 2 3 4 5 4 2
0 0 0 1 3 6 7 8 10 11 13 14 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 14 14 14 16 17 19 19 17 15 13 12 12 11 10 10 11 12 13 14 15 16 16 16 15 14 13 13 13 13 14 14 15 15 15 15 15 15 15 16 18 20 22 22 22 20 20 24 31 36 38 37 37 41 47 49 50 48 44 41 38 34 32 30 30 30 30 29 26 23 19 15 8 3 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1
0 0 0 2 4 6 8 9 10 12 13 15 14 13 11 10 9 8 8 9 9 8 9 9 10 10 11 12 13 14 14 14 14 14 15 17 19 20 18 16 14 12 11 10 10 10 10 12 14 16 17 17 17 16 14 13 13 13 14 14 15 17 18 18 18 18 17 16 16 18 21 25 27 27 25 24 22 20 18 17 17 17 18 23 31 37 40 40 39 38 36 37 38 38 38 38 37 35 30 25 19 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 4 7 9 10 11 11 13 16 15 13 11 9 8 8 9 9 10 10 10 10 11 12 12 13 14 14 14 14 14 14 15 17 18 19 19 16 14 12 11 10 9 10 11 12 13 15 16 16 16 14 13 13 13 14 15 16 18 19 20 20 20 19 18 17 17 18 22 25 28 29 28 27 26 24 23 21 17 13 12 12 14 16 19 22 25 32 38 42 45 47 48 48 46 43 38 31 23 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 4 7 9 10 11 11 12 16 15 13 10 9 8 9 10 10 10 10 10 11 12 13 13 14 14 14 14 14 15 15 16 17 18 19 18 16 14 10 9 8 9 10 10 11 11 12 13 14 14 13 13 13 14 15 17 18 20 20 21 21 21 20 20 20 19 20 20 22 24 27 31 33 32 30 28 27 24 20 16 12 10 9 8 6 9 19 35 45 51 55 57 57 55 51 46 39 31 24 16 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 4 8 9 10 10 11 12 14 14 12 10 10 10 10 11 10 10 9 10 11 12 12 13 13 13 13 14 15 15 16 17 17 18 18 18 16 13 9 8 6 7 9 10 9 9 10 11 12 12 13 14 16 16 17 19 20 21 21 21 21 22 22 23 24 25 24 22 21 22 25 32 36 38 37 35 32 28 25 21 18 15 12 8 6 6 12 28 42 53 61 64 63 60 56 51 45 40 34 28 22 16 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 5 8 9 10 10 10 12 13 12 11 10 11 12 13 12 10 9 9 10 11 12 12 12 12 12 13 14 16 17 17 17 17 17 17 17 16 13 10 8 6 7 8 9 8 8 9 10 12 13 14 16 18 18 19 20 21 22 22 22 22 23 24 25 26 29 30 30 29 28 28 30 35 39 42 42 38 34 30 26 24 21 17 13 9 6 8 16 30 47 65 70 70 68 63 58 51 46 42 38 34 26 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 3 6 8 8 9 9 9 9 12 12 12 11 12 13 14 13 11 10 10 11 11 12 12 13 13 14 14 16 17 18 17 17 16 16 17 17 16 14 11 9 9 9 10 10 8 8 9 11 12 13 15 18 19 20 20 21 22 22 22 22 23 24 25 26 26 29 32 34 35 34 33 34 35 38 41 44 43 40 34 30 26 22 17 12 8 4 4 6 14 29 51 63 69 72 74 71 60 54 50 46 45 34 21 13 9 5 2 1 0 0 0 0 0 0 0 0 0
0 0 1 3 6 7 7 7 7 7 8 11 12 13 13 13 14 14 13 12 11 11 11 12 12 13 15 15 15 15 16 17 17 17 17 16 16 16 16 16 15 13 12 11 12 12 10 8 8 8 10 12 13 16 19 20 21 21 22 23 23 22 22 23 25 26 25 25 28 31 33 35 36 36 35 35 35 37 41 42 41 37 31 27 23 19 13 7 2 1 2 4 9 21 35 47 57 62 58 55 54 53 47 44 35 27 22 20 19 14 8 3 1 1 1 1 1 2 3 4
0 0 1 3 5 5 6 6 6 6 8 11 12 13 13 13 14 14 14 13 13 13 12 12 13 15 17 17 17 16 15 16 16 17 17 17 17 17 16 16 16 15 13 12 12 11 10 9 8 8 9 10 13 16 19 21 22 22 22 23 23 22 22 22 23 24 24 24 25 26 29 31 32 33 33 32 33 34 36 37 37 36 32 27 23 19 15 9 3 1 1 2 5 8 13 21 31 43 43 46 49 50 46 39 32 29 29 29 29 26 21 16 10 9 10 11 12 12 10 10
0 0 0 1 2 2 4 5 5 5 7 10 13 14 14 14 15 15 15 15 15 14 14 13 14 17 18 18 16 14 13 14 15 16 16 17 16 16 16 16 16 16 14 12 10 10 10 9 9 8 9 10 12 14 18 21 22 22 22 23 23 22 21 20 20 21 23 23 23 23 24 26 27 28 28 29 30 31 32 32 32 31 29 26 21 16 14 11 7 3 2 2 4 5 7 8 12 23 24 27 34 42 43 38 33 32 38 41 42 39 35 33 28 27 28 30 29 25 19 15
0 0 0 0 0 0 2 4 5 5 7 10 13 14 15 16 16 16 15 14 14 14 13 14 15 16 17 16 14 12 10 11 12 13 14 15 15 15 15 15 15 14 13 11 10 9 8 8 9 10 10 11 12 15 18 20 21 22 22 22 23 22 20 19 19 20 22 23 22 21 21 22 23 24 25 26 27 27 26 25 25 25 26 24 20 17 15 13 11 8 6 3 3 4 5 6 7 10 11 13 18 26 33 36 41 51 62 63 61 56 52 48 44 42 41 42 42 37 30 25
0 0 0 0 0 0 1 3 4 5 7 11 14 16 17 17 17 16 16 16 16 14 14 14 14 15 14 13 11 10 10 10 10 11 12 13 13 13 12 12 12 12 11 10 9 8 7 7 9 11 12 12 14 15 17 19 20 21 21 21 21 20 19 18 18 20 22 23 22 22 20 20 20 21 22 23 23 23 23 23 23 22 23 23 22 20 19 18 17 15 12 9 7 6 5 5 6 6 6 6 7 11 19 29 44 66 76 75 72 68 69 66 60 54 49 46 45 43 39 34
0 0 0 0 0 0 0 2 3 5 6 11 15 17 18 18 18 17 17 16 16 15 14 14 14 14 12 11 10 10 10 10 10 10 10 11 11 10 10 9 9 10 10 10 9 8 7 6 7 10 12 13 14 16 17 18 20 20 19 19 19 19 18 18 18 19 20 21 22 22 22 21 19 19 19 20 20 19 19 19 19 20 20 20 21 22 23 23 23 22 19 17 14 12 9 7 6 6 6 5 5 6 9 17 32 44 46 46 44 43 52 60 63 63 58 52 47 42 40 37
0 0 0 0 0 0 0 2 4 6 6 10 13 16 17 18 18 18 17 16 16 15 15 15 14 12 11 11 10 10 11 11 11 10 10 9 9 8 8 7 8 8 9 9 8 7 6 6 7 8 10 12 14 15 16 17 18 18 17 16 16 17 18 19 19 19 19 20 20 21 22 22 20 18 18 18 18 17 15 14 15 16 16 16 17 19 22 24 25 25 24 22 20 18 14 11 9 8 8 6 7 7 8 10 13 15 13 10 6 5 13 23 33 44 55 57 54 48 44 40
0 0 0 0 0 0 1 3 5 7 7 8 11 14 16 17 18 18 18 16 16 16 16 16 13 12 11 11 11 11 11 11 11 10 9 8 8 7 7 7 7 7 8 8 7 6 6 5 6 6 8 10 12 14 14 15 16 15 14 13 13 14 15 17 18 19 19 18 18 18 20 20 20 18 16 16 16 15 14 11 11 12 12 12 12 13 16 19 22 24 25 25 24 22 19 16 14 12 12 11 10 10 10 8 8 7 5 3 2 2 2 4 8 14 23 39 49 52 50 48
0 0 0 0 0 1 3 4 6 8 8 9 11 14 16 17 18 18 18 17 17 18 18 16 13 12 11 11 11 11 11 11 10 9 8 7 7 7 7 7 7 7 6 5 5 5 4 4 5 6 7 8 10 12 12 13 14 14 13 12 12 12 13 15 17 18 18 17 16 16 17 18 18 18 17 17 16 15 14 12 10 10 9 8 8 8 9 12 15 19 22 24 25 23 23 21 19 17 15 13 11 11 11 9 7 7 6 5 4 4 3 4 4 5 6 10 19 31 38 44
0 0 0 0 0 1 3 5 7 8 8 9 12 14 17 17 17 18 18 18 18 18 18 15 12 11 11 11 11 11 11 10 8 7 6 6 6 6 7 7 7 6 4 3 2 2 3 3 4 5 6 7 8 10 10 11 12 12 12 12 12 13 14 15 16 17 16 14 14 14 15 16 17 17 17 17 17 17 16 13 10 9 8 6 6 5 5 6 7 11 14 18 20 22 24 25 24 21 16 11 9 10 12 10 9 9 9 8 6 5 4 4 4 4 5 5 6 8 14 22
0 1 1 0 0 2 5 7 8 7 8 9 12 16 17 18 18 18 18 18 18 18 16 13 11 11 11 11 11 11 10 9 7 6 5 5 6 6 6 6 5 4 2 1 0 0 1 2 4 5 6 7 7 8 9 10 10 11 12 13 13 14 15 16 17 17 15 12 10 13 15 15 15 16 17 17 18 18 16 13 10 8 7 7 6 6 6 6 5 6 8 11 14 18 23 26 26 22 16 12 10 10 11 10 9 9 10 9 7 6 5 5 4 4 4 4 4 3 3 5
1 1 1 1 1 4 6 8 8 8 8 9 12 16 18 18 18 18 18 18 17 16 13 11 10 10 11 11 11 11 10 8 6 5 5 5 5 5 5 4 3 2 1 0 0 0 0 2 4 5 5 6 7 7 8 9 9 10 12 13 14 15 16 17 17 17 15 12 10 12 13 13 13 15 15 16 17 18 16 12 9 8 7 7 7 7 7 7 7 7 7 8 11 15 19 21 21 18 15 12 11 12 12 11 10 8 7 7 6 6 6 6 5 4 3 3 3 2 1 1
2 2 2 1 2 6 8 9 9 8 9 10 12 15 18 18 18 18 18 18 16 14 11 10 10 11 11 11 11 10 9 8 6 5 5 5 5 5 4 2 1 0 0 0 0 0 0 1 3 4 5 5 6 6 7 7 8 10 12 14 15 15 16 16 16 16 15 13 12 13 14 14 14 14 14 15 16 17 14 11 9 8 7 7 6 6 6 6 7 7 7 8 10 12 14 14 13 12 11 11 12 13 14 14 12 10 8 7 7 7 6 6 5 4 4 3 2 2 1 0
2 3 2 2 4 8 9 9 9 8 9 10 12 14 17 18 18 18 19 18 16 12 10 10 10 11 11 11 11 10 9 7 6 5 4 4 5 6 4 2 1 1 0 0 0 0 0 1 3 4 4 4 5 4 4 5 7 10 12 14 14 15 15 16 16 15 15 14 14 14 14 14 14 14 14 15 16 15 13 10 8 7 6 6 5 5 5 5 6 6 6 6 7 8 9 9 8 8 8 9 11 13 16 17 16 13 11 9 9 8 7 6 5 4 4 3 3 2 1 0