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 11 12 12 11 10 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 14 14 14 13 12 11 10 9 8 7 7 6 6 6 7 8 9 9 8 8 8 9 10 10 10 10 9 10 10 10 9 7 4 2 5 11 15 13 10 9 8 8 7 6 5 2 -1 -2 -1 2 4 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 3 3 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 3 3 4 4 5 6 6 7 7 7 7 7 7 7 8 8 9 nan
nan 10 11 11 12 12 11 10 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 12 13 14 14 14 13 12 11 10 10 9 8 7 7 7 6 7 7 7 8 9 9 8 8 8 8 9 9 8 9 9 10 10 9 8 5 3 5 10 13 12 9 8 7 7 5 4 4 4 2 -1 -2 -1 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 5 6 7 6 7 7 7 7 7 7 8 8 8 9 nan
nan 9 10 10 11 12 11 10 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 12 12 13 13 13 12 12 11 10 10 9 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 7 5 5 8 11 10 9 8 7 6 4 3 4 6 6 2 -2 -4 -2 2 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 9 10 nan
nan 10 9 10 10 11 12 11 10 10 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 10 9 9 8 7 6 7 7 8 9 8 8 9 9 9 9 9 8 8 8 9 10 10 10 10 10 9 8 6 6 8 10 10 9 8 7 6 5 3 5 8 10 6 -0 -5 -4 -1 3 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 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 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 nan
nan 10 9 9 10 11 12 12 12 12 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 11 10 10 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 8 6 6 7 8 8 8 8 8 8 7 6 6 9 10 8 3 -2 -4 -4 -1 4 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 12 12 13 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 12 nan
nan 9 9 9 10 11 12 12 13 13 12 12 11 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 9 8 7 7 8 8 9 9 10 9 9 8 9 9 10 9 9 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 8 9 9 8 8 9 10 9 6 2 -2 -4 -3 1 5 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 12 13 13 14 15 15 15 16 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 12 nan
nan 9 9 9 9 10 11 11 12 13 13 13 12 11 10 9 10 10 10 10 11 11 11 11 10 10 9 10 10 10 10 10 10 10 11 12 13 13 12 12 11 9 8 7 7 7 8 8 9 10 9 9 8 8 9 10 9 9 9 10 10 9 9 9 8 8 8 8 8 8 6 6 6 8 9 9 9 8 9 11 10 9 6 2 -2 -4 -2 3 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 11 12 13 13 13 13 14 14 14 14 14 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 10 10 nan
nan 9 9 9 9 9 10 10 11 13 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 12 13 13 12 11 10 10 8 7 7 7 7 8 9 10 9 9 8 8 9 10 10 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 6 7 8 8 8 9 10 11 11 10 8 6 2 -2 -2 0 4 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 12 11 10 8 8 nan
nan 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 11 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 9 8 7 7 7 8 9 9 9 9 8 8 9 10 10 10 8 8 9 9 9 8 8 7 7 7 7 8 8 8 7 7 8 8 8 9 10 11 10 10 9 8 5 1 -1 -1 3 5 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 9 10 10 11 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 13 13 12 11 10 9 7 7 nan
nan 9 9 9 8 9 9 10 11 11 11 11 12 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 7 6 7 8 9 9 9 8 8 9 10 11 10 8 8 8 8 9 9 8 7 7 7 7 7 8 8 9 9 9 8 8 9 10 10 10 10 10 9 8 4 1 -0 1 4 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 8 9 9 10 11 11 12 12 12 13 13 14 14 13 13 13 14 14 14 14 13 11 10 9 8 7 7 nan
nan 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 9 7 6 7 8 8 9 8 7 7 7 8 10 10 9 8 7 7 8 9 8 8 8 8 8 8 8 9 9 10 9 9 8 9 9 10 10 11 11 11 10 7 3 1 1 3 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 10 9 8 8 7 nan
nan 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 7 7 8 9 10 10 10 10 10 10 10 11 11 10 10 9 10 11 11 11 10 11 11 12 12 12 12 11 10 8 7 7 7 8 9 8 8 7 6 7 9 9 9 8 6 7 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 9 9 9 10 11 11 11 11 9 6 3 1 3 5 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 9 9 9 9 10 10 9 10 11 11 10 10 10 10 10 10 11 12 12 12 11 11 10 9 9 8 nan
nan 8 8 8 8 9 10 11 10 10 9 9 9 8 8 8 8 7 8 9 10 11 11 10 9 9 10 10 11 10 9 9 9 10 11 11 11 11 11 12 13 13 12 12 10 9 8 7 7 8 9 9 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 9 7 5 3 4 5 7 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 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 nan
nan 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 8 9 10 10 9 9 8 9 10 11 11 11 11 12 13 14 13 12 11 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 9 8 9 9 10 9 8 6 5 5 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 10 10 nan
nan 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 11 11 12 13 12 11 9 8 8 8 9 9 9 9 8 9 9 10 10 10 11 12 13 13 13 12 11 10 9 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 8 8 7 7 8 8 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 6 6 6 7 8 8 8 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 10 10 9 9 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 12 12 12 12 12 12 12 13 12 12 12 13 13 12 12 11 11 nan
nan 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 10 10 11 12 13 12 12 11 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 10 9 8 7 7 7 7 7 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 nan
nan 9 9 9 8 9 9 9 9 10 9 9 9 9 9 10 11 10 10 10 11 11 11 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 12 12 11 11 11 10 9 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 6 6 7 7 7 8 8 9 9 10 10 11 11 12 12 12 12 13 13 13 13 13 14 14 nan
nan 9 9 9 8 8 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 5 4 4 5 6 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 7 7 7 7 7 8 8 9 9 10 10 11 11 11 12 12 12 12 13 13 13 14 nan
nan 9 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 11 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 7 6 6 6 6 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 4 3 2 2 4 5 5 4 3 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 12 12 12 13 13 nan
nan 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 10 11 11 11 12 11 11 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 9 9 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 8 7 5 3 1 2 4 5 4 3 3 4 4 5 5 5 5 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 11 11 11 11 11 12 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 10 11 12 12 11 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 8 8 7 7 7 7 6 6 6 6 5 5 4 5 6 6 5 4 3 4 6 6 4 3 4 5 6 6 6 6 6 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 8 8 9 9 9 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 9 9 9 10 9 10 10 9 9 9 8 8 8 7 7 6 7 7 7 7 8 9 8 8 9 10 11 12 11 10 9 9 9 10 11 12 12 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 9 9 8 7 7 7 8 8 8 9 8 8 7 6 6 6 6 6 6 6 5 4 3 3 4 5 5 5 5 7 8 7 6 5 6 7 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 10 10 10 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 nan
nan 7 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 9 9 9 9 8 7 7 7 7 7 7 8 9 9 9 9 10 11 11 11 10 9 9 9 10 11 12 12 12 12 11 10 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 6 5 5 6 6 7 6 6 6 5 5 5 6 7 8 8 9 10 9 8 8 9 9 10 10 10 10 9 10 10 11 12 13 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 12 12 11 11 10 8 8 7 7 7 8 8 8 8 8 9 9 nan
nan 7 7 8 8 8 8 9 10 10 11 12 12 13 13 13 12 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 9 10 10 10 11 12 12 12 12 11 10 10 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 10 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 10 11 11 10 11 11 11 11 12 12 11 11 11 12 12 13 14 15 13 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 14 14 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 9 nan
nan 7 7 7 7 8 9 9 10 11 12 13 13 14 14 14 13 13 13 13 13 12 12 11 10 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 11 12 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 9 10 9 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 14 14 15 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 14 14 13 12 10 9 8 8 8 7 7 8 8 8 9 nan
nan 7 6 6 7 7 8 9 10 12 12 13 13 12 12 12 12 13 13 14 14 14 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 13 13 13 13 14 13 12 12 11 12 12 11 10 10 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 14 14 13 12 10 10 9 8 8 8 8 8 9 9 nan
nan 7 7 6 6 6 6 7 8 9 10 11 10 10 10 10 10 10 11 12 13 14 14 15 14 13 12 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 9 10 10 9 8 8 8 8 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 9 8 7 7 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 14 14 13 12 11 10 9 9 9 9 9 9 9 nan
nan 7 7 7 6 5 5 5 5 6 7 8 8 8 7 7 8 8 8 9 10 12 13 13 13 13 12 12 12 12 12 12 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 6 6 6 7 6 6 6 7 8 9 10 10 10 10 9 9 10 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 6 6 5 5 5 6 7 8 8 9 9 9 9 9 10 9 9 10 10 10 10 11 11 12 12 13 13 13 14 13 13 12 11 11 10 10 9 9 9 9 nan
nan 7 7 7 7 6 5 4 4 4 4 5 5 5 6 6 7 7 7 8 8 9 10 10 11 11 11 12 12 13 13 13 12 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 8 7 6 6 7 7 7 7 7 7 7 8 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 9 9 9 9 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 6 4 3 3 4 4 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 13 13 13 12 12 12 11 11 10 10 9 9 nan
nan 7 8 8 8 7 6 6 5 4 4 4 4 4 4 5 6 6 7 7 6 7 7 8 8 9 10 10 11 12 12 13 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 10 10 9 8 8 7 5 3 2 2 3 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 nan
nan 7 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 9 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 8 9 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 9 8 7 7 6 5 3 2 2 3 4 6 7 8 8 9 9 9 9 9 10 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 10 10 10 nan
nan 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 7 8 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 8 8 9 8 7 7 6 5 6 7 8 9 10 10 10 10 11 11 11 11 12 11 11 11 10 10 10 10 9 9 9 8 7 7 6 5 3 2 2 3 5 6 7 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 6 7 8 8 8 8 8 8 8 7 7 7 8 7 7 7 6 5 5 5 5 5 5 5 6 6 7 8 9 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 7 7 7 8 8 8 8 8 7 6 5 5 5 6 7 9 10 10 10 11 11 11 11 12 11 11 10 10 10 10 10 9 9 9 8 8 8 7 6 5 5 5 6 7 8 8 9 9 10 10 10 11 11 11 11 11 11 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 nan
nan 6 7 8 9 9 9 9 8 7 6 6 7 7 7 7 7 7 6 6 5 5 4 4 5 5 6 7 7 8 9 10 10 11 11 12 12 12 13 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 7 6 5 5 5 6 7 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 10 10 11 11 11 12 12 12 12 12 11 11 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 nan
nan 7 8 9 10 10 10 9 9 8 7 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 7 7 8 8 9 9 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 8 8 8 8 9 10 10 9 8 8 8 8 9 9 9 9 8 7 6 5 4 5 5 6 8 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 10 10 10 11 12 12 12 12 12 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 9 9 9 9 10 10 10 9 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 6 5 4 5 5 6 7 8 9 10 11 11 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 10 10 9 10 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 10 9 9 8 8 9 9 9 9 9 8 8 7 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 10 11 11 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 6 7 8 8 9 10 11 11 11 11 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 12 11 9 9 8 9 10 11 12 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 10 9 8 7 7 8 9 10 11 10 10 9 8 8 8 8 8 7 7 8 8 7 7 7 7 6 6 6 7 8 9 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 10 10 11 12 12 12 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 9 8 7 6 6 6 7 7 7 8 8 8 8 7 7 8 8 8 7 6 5 5 5 5 6 6 7 7 7 7 8 8 9 10 10 10 10 9 8 8 8 7 7 8 8 8 8 8 8 8 9 10 10 11 10 10 9 8 8 9 9 10 10 10 10 9 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 10 11 13 14 14 14 14 14 14 13 13 12 11 10 10 9 9 9 9 8 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 nan
nan 8 7 6 6 6 6 6 6 7 7 8 8 8 7 8 9 10 11 10 9 6 5 4 5 5 6 7 7 7 7 7 8 9 10 10 10 10 9 8 8 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 8 8 9 9 10 12 13 14 15 15 16 16 16 15 15 14 14 12 11 9 9 8 8 8 8 8 9 9 8 9 8 8 8 8 9 9 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 8 8 7 7 6 6 6 7 7 7 8 8 8 7 8 9 10 13 13 11 9 6 5 5 5 6 6 6 6 7 7 8 9 10 10 11 10 9 9 8 7 7 7 6 6 6 6 7 8 9 10 10 11 11 10 10 10 10 10 11 11 12 12 13 13 12 13 13 13 12 12 12 12 12 11 10 10 11 11 12 13 13 13 13 13 14 15 15 15 15 15 13 12 9 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 12 11 10 9 8 8 8 8 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 9 8 8 7 6 6 6 7 7 8 8 8 8 7 8 8 10 12 13 13 11 8 6 5 5 5 6 6 6 7 7 8 9 9 10 11 11 10 9 8 7 7 7 6 6 5 5 6 7 7 8 9 8 8 8 8 8 8 9 10 10 11 11 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 12 13 13 14 14 14 13 11 9 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 11 10 9 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 7 7 6 5 5 6 7 7 8 8 8 8 8 7 7 9 11 12 12 11 9 8 6 6 6 6 7 7 7 7 8 8 9 10 11 11 11 11 10 9 8 7 7 6 6 6 6 6 7 8 7 7 6 5 5 5 5 6 7 7 8 8 8 8 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 12 11 9 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 7 7 8 8 8 8 9 9 10 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 5 4 4 4 5 6 7 7 8 8 8 8 7 7 8 9 10 10 11 10 9 8 8 8 7 7 7 7 7 7 8 9 11 12 12 12 11 10 10 10 9 9 8 8 8 8 8 8 8 7 7 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 6 7 9 10 9 8 8 7 7 7 7 8 8 8 9 9 10 10 11 12 12 12 12 11 10 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 11 11 12 12 13 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 13 nan
nan 8 7 5 4 4 4 5 6 7 7 8 8 8 8 7 8 8 8 8 9 10 11 10 10 9 9 8 8 7 7 7 8 8 10 11 12 12 12 11 10 10 11 11 11 11 10 10 10 10 10 9 8 7 6 5 4 3 3 4 4 5 6 6 6 5 5 4 5 5 6 7 7 7 7 6 7 7 7 7 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 10 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 14 16 nan
nan 10 8 7 6 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 9 8 8 7 8 8 9 10 11 11 11 11 10 10 10 11 12 12 13 13 13 12 12 12 11 10 8 7 5 5 5 5 6 7 8 8 8 8 7 6 6 6 6 5 5 5 4 4 5 6 7 7 8 8 8 8 8 9 9 9 10 10 11 12 12 12 13 13 12 10 9 8 8 8 8 8 8 9 9 9 9 10 11 12 13 13 13 12 11 10 10 9 9 9 9 10 11 13 14 15 15 15 15 14 14 14 13 13 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 12 13 14 17 17 nan
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nan 10 10 11 12 12 12 11 11 11 11 12 12 12 12 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 14 13 12 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 11 14 19 22 24 25 26 25 23 19 16 12 8 4 -1 -4 -6 -8 -8 -8 -6 -3 1 2 3 3 4 nan
nan 10 10 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 10 10 10 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 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 11 10 8 7 6 5 7 9 13 16 19 21 24 26 27 26 25 25 23 20 16 12 6 -0 -4 -8 -9 -10 -9 -8 -8 -8 -8 nan
nan 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 8 9 10 12 13 15 18 21 24 26 28 29 31 31 30 26 21 15 10 3 -3 -7 -8 -10 -12 -14 -15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 4 8 8 9 10 7 4 2 4 3 3 3 4 5 4 3 4 5 5 5 6 7 8 8 8 9 13 14 16 19 22 22 19 13 9 7 7 6 5 4 4 4 5 5 6 7 9 10 12 12 13 12 12 11 11 10 9 9 8 7 6 5 4 4 4 3 3 3 3 3 3 4 5 6 7 8 8 8 8 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 12 13 14 16 18 20 20 19 15 14 15 15 17 20 20 18 16 15 13 10 9 7 6 5 5 6
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 2 1 0 0 2 4 5 6 5 3 1 1 2 3 3 3 4 6 5 4 3 3 4 5 6 7 8 9 10 12 15 17 18 19 20 17 13 10 8 6 5 4 3 3 3 3 3 4 4 4 5 6 7 8 8 8 8 8 8 7 7 6 6 5 5 4 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6 5 5 5 5 4 5 5 6 6 5 6 6 5 5 5 4 5 5 6 7 7 8 8 9 11 13 14 15 16 16 17 16 12 13 14 16 17 17 18 17 15 13 11 9 8 8 10
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 2 1 1 1 1 1 1 2 1 1 1 1 1 3 4 5 5 5 5 4 4 3 4 5 6 7 8 10 12 15 17 17 15 13 12 9 8 7 6 4 3 2 2 2 2 2 2 2 2 2 3 3 4 4 4 5 4 6 5 5 4 4 4 3 3 2 2 2 2 1 2 2 2 2 2 2 2 3 3 3 4 4 5 5 6 5 5 5 5 4 3 3 4 4 5 5 5 5 4 3 3 3 3 4 5 5 6 6 7 7 8 10 11 12 13 15 17 18 19 19 20 20 21 23 23 22 20 16 15 13 12 12 15
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 1 1 1 1 1 1 1 1 1 1 2 3 5 6 5 4 3 2 2 3 4 6 7 9 10 12 15 18 19 16 11 8 5 5 5 5 4 3 2 2 2 2 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 1 1 0 0 0 0 1 1 1 2 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 3 4 3 3 3 3 3 4 4 5 6 7 7 7 8 9 10 11 11 12 12 15 20 25 29 29 29 29 28 28 27 23 21 20 19 20 22
1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 2 2 2 2 2 2 2 2 3 4 5 6 6 3 2 2 3 3 5 7 10 11 12 14 17 21 19 13 9 5 4 4 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 4 5 6 6 7 7 7 6 6 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 6 7 8 8 9 10 10 10 11 12 13 13 15 20 29 38 40 40 37 36 36 34 32 31 31 33 33 35
1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 2 2 2 3 3 3 5 6 6 7 6 4 3 3 3 4 6 8 11 12 14 16 18 18 16 13 9 6 4 3 2 2 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4 5 5 6 7 8 8 7 7 7 6 6 5 4 4 4 4 4 5 5 5 6 6 6 6 7 8 9 10 11 13 14 14 16 16 18 19 22 25 32 43 48 47 44 44 43 42 42 42 42 45 50 57
1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 4 4 6 8 9 7 7 6 5 4 3 3 5 7 9 11 13 16 18 18 15 12 9 6 5 4 3 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 3 3 3 4 4 4 4 5 6 7 7 8 8 8 8 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 10 11 12 12 14 15 16 18 22 24 25 27 30 32 38 46 50 51 51 50 50 51 51 52 54 58 66 75
1 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 1 0 0 1 1 1 1 1 1 3 5 6 7 8 8 7 7 6 5 4 4 4 5 7 9 12 13 16 18 17 13 9 6 5 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 5 5 6 7 7 8 9 9 9 9 9 10 11 12 13 14 14 13 13 12 13 12 12 13 13 13 14 15 16 17 18 19 25 28 30 32 36 39 43 48 52 53 52 51 52 55 56 57 59 64 72 83
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 1 0 1 1 1 1 2 3 4 5 5 6 7 7 6 5 4 6 6 6 7 10 13 15 18 19 16 11 8 6 4 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 2 2 3 4 4 4 4 4 4 5 5 6 6 7 7 6 6 6 7 7 8 9 9 9 10 11 10 11 13 15 16 17 17 17 17 17 16 16 16 16 16 16 17 18 19 19 19 20 22 25 27 28 32 36 40 45 50 59 60 58 58 63 69 70 70 70 74 81 86
0 0 0 0 0 0 0 0 0 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 4 3 5 6 7 7 7 5 6 7 7 9 12 15 15 16 15 12 6 5 4 3 4 5 6 7 7 7 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 3 4 5 5 5 5 5 6 6 6 7 8 8 8 8 8 7 8 9 8 9 9 10 10 11 12 12 13 14 14 14 14 13 13 14 15 16 16 17 18 19 20 21 21 21 23 26 27 28 31 34 38 41 46 50 58 70 77 80 83 90 94 99 99 92 91 92 87
0 0 0 0 0 0 0 0 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 4 4 4 3 3 5 6 7 6 6 6 6 7 8 9 12 14 13 12 11 5 4 4 3 5 9 10 11 11 11 11 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 5 5 6 7 7 7 6 7 7 8 8 9 8 8 8 8 8 8 9 8 8 9 9 10 10 10 10 11 10 9 8 8 8 8 9 11 13 13 14 15 16 18 20 21 21 23 26 27 29 36 43 48 54 59 65 76 88 102 116 116 112 109 111 113 102 95 87 78
0 0 0 0 0 0 0 0 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 2 2 3 3 4 5 6 6 6 5 6 7 8 8 8 11 13 12 8 6 4 4 4 4 5 9 10 11 12 11 12 10 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 5 6 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 6 6 6 7 7 8 9 11 11 11 11 12 14 15 16 17 19 21 24 26 34 44 53 59 65 70 80 92 104 115 116 114 111 108 105 97 89 79 70
0 0 0 0 0 0 0 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 2 2 3 3 3 4 5 6 6 5 5 7 8 8 8 7 8 10 10 6 3 3 3 2 3 3 6 9 10 10 10 10 9 8 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 7 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 8 7 7 6 5 5 5 4 4 4 4 6 5 6 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 13 15 18 22 28 32 40 49 54 59 70 77 86 93 100 106 107 103 95 85 78 71
0 0 0 0 0 0 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 2 2 4 5 5 4 5 5 6 7 9 9 8 7 6 7 4 4 4 4 2 3 3 5 6 7 8 7 5 5 5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 6 7 8 8 7 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 8 9 9 10 12 12 11 12 12 12 11 12 10 10 9 9 9 10 10 11 13 17 18 25 31 36 39 49 55 61 71 81 93 103 109 104 92 88 78
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 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 4 4 4 6 8 9 9 7 5 4 4 4 4 3 2 2 4 6 6 4 6 4 4 3 3 3 2 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 5 6 6 6 7 8 10 11 13 14 13 11 11 11 11 9 10 9 7 6 5 7 7 8 9 11 14 15 19 24 29 32 37 42 49 60 69 83 99 112 120 115 97 84
1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 3 4 5 6 8 7 7 6 4 5 6 5 4 4 3 3 5 7 7 3 2 3 4 3 2 2 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 7 8 9 9 8 8 7 7 6 6 5 6 7 8 9 9 10 11 11 13 11 9 8 8 7 6 5 4 3 3 2 3 4 5 6 8 10 12 15 19 23 27 35 42 43 57 67 80 91 95 110 112 100 84
3 3 4 4 4 3 3 2 1 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 1 1 1 2 2 3 3 4 5 7 8 7 5 4 3 3 2 2 3 3 3 3 3 4 5 4 4 6 7 7 5 4 3 2 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 2 2 1 2 2 2 2 4 4 4 4 5 7 8 8 8 9 9 9 8 7 7 6 5 6 6 7 8 8 8 9 9 8 8 7 6 5 4 4 2 2 2 2 1 1 1 1 1 2 3 4 5 7 10 14 16 19 26 39 45 51 58 66 76 91 98 105 108 104
5 6 6 6 5 5 4 3 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 5 6 8 7 5 4 4 3 3 2 2 2 2 2 2 2 3 4 6 7 8 8 5 4 3 2 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 1 2 3 3 3 4 6 7 7 7 7 7 7 6 6 6 5 5 6 7 8 7 6 6 6 6 5 5 4 3 2 2 1 0 0 1 1 0 0 0 1 1 1 1 2 3 5 8 11 12 13 16 24 30 34 39 47 56 65 70 75 85 88
5 6 7 7 7 7 6 4 3 3 2 1 1 1 1 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 1 2 1 1 1 2 2 4 6 7 7 5 4 4 4 3 3 2 2 3 3 3 1 2 2 2 4 8 7 5 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 2 3 3 4 4 3 3 2 2 3 4 3 3 4 4 4 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 11 12 13 15 18 20 22 23 29 33 38 44 49 56 61
4 6 6 6 6 7 7 6 4 3 3 3 3 2 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 1 1 2 2 2 2 3 4 6 7 7 4 4 4 4 3 4 4 4 5 6 6 3 1 1 3 6 9 7 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 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 11 14 16 18 20 20 20 20 21 21 22 28 32 37 42
5 5 7 6 7 7 6 5 4 4 4 4 5 4 3 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 5 6 8 8 7 7 7 6 7 7 6 6 6 6 5 4 3 2 2 5 8 8 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 15 19 21 21 21 21 21 20 20 22 24 27 30
2 3 5 7 7 7 7 6 5 5 6 6 6 6 5 5 4 3 2 4 4 3 4 4 4 2 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 6 7 8 9 9 8 9 9 8 6 5 5 4 3 3 2 2 3 5 6 5 5 5 4 3 3 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 2 5 8 11 13 15 17 18 19 20 20 19 20 22 24 24 25
1 2 4 6 6 6 5 6 6 7 8 8 6 7 7 7 6 4 2 3 5 6 7 6 5 4 2 2 2 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 2 2 3 4 4 4 5 6 6 5 8 9 9 8 6 5 5 4 3 2 2 3 4 4 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 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 11 12 14 15 15 16 17 18 20 21 21 22 23 24
2 2 4 5 4 4 5 6 7 8 9 8 7 7 8 8 8 6 4 5 6 7 8 6 5 4 4 3 3 2 2 2 2 2 3 3 2 1 1 1 1 1 2 1 1 2 2 3 3 4 5 5 6 4 6 7 8 8 5 6 5 4 2 1 0 2 3 4 4 3 2 2 2 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 2 4 8 12 14 15 16 15 15 16 17 18 19 19 20 22 23
4 4 4 4 5 5 4 5 7 8 7 7 8 8 9 9 9 6 5 4 5 6 6 5 4 4 4 3 2 2 2 2 3 3 3 2 2 2 2 3 3 3 3 3 3 2 2 3 3 4 4 5 6 5 5 6 6 6 5 6 5 4 3 1 1 2 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 12 16 18 19 18 17 19 19 18 19 20 21 23 25
3 4 4 4 4 4 4 5 6 7 7 7 7 8 8 8 9 8 6 5 4 4 3 3 3 2 3 2 1 1 1 2 2 2 2 1 1 2 3 3 3 3 4 4 4 4 3 3 3 4 4 3 5 5 4 4 4 4 4 5 5 5 5 3 2 3 3 3 4 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 0 0 0 0 0 0 0 0 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 1 2 2 2 3 2 2 3 5 7 10 14 18 21 21 22 24 25 23 23 24 26 29 29
2 3 2 2 2 3 4 5 7 7 6 6 6 5 5 5 6 5 4 4 4 3 2 1 1 1 2 2 1 1 1 1 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 2 2 2 3 4 4 3 3 2 2 2 2 1 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 1 1 2 2 3 3 4 4 5 6 6 6 6 6 6 8 11 14 16 19 22 25 27 28 28 30 31 32 32 30
1 2 2 2 1 3 4 5 5 5 4 3 5 7 7 6 5 4 4 4 4 3 2 2 2 3 2 1 1 1 0 0 0 0 0 0 0 1 1 2 3 4 4 4 5 5 4 4 4 4 5 4 3 3 3 2 2 2 2 1 1 1 2 2 2 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 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 4 4 4 5 6 6 7 8 8 10 11 10 9 9 9 11 12 14 16 17 20 25 29 29 29 30 32 34 32 30
1 1 1 1 1 1 2 2 1 1 1 1 3 5 5 5 5 4 4 4 4 3 3 2 1 2 2 2 1 1 0 0 0 0 0 0 0 1 1 1 2 3 3 4 4 4 3 4 4 4 4 4 3 2 2 2 2 2 2 1 2 2 1 1 1 0 1 1 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 1 3 3 4 5 6 6 6 6 7 8 10 11 12 12 13 13 12 12 12 13 14 16 18 19 20 25 29 30 30 30 31 33 34 34
0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 4 4 4 4 3 3 2 2 2 1 1 2 1 1 1 1 1 1 0 0 1 1 2 2 2 3 3 2 2 3 3 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 0 1 2 3 3 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 1 3 4 5 6 6 7 6 7 8 8 9 11 12 13 14 13 12 12 13 14 15 17 20 21 22 22 24 28 30 31 31 32 32 33 33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 3 3 2 1 1 1 1 1 2 2 2 2 2 1 1 1 2 4 4 3 3 2 2 2 2 2 2 3 3 2 1 1 1 1 1 1 1 1 2 2 1 1 0 0 1 2 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 0 0 0 0 0 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 4 5 6 5 6 7 8 10 10 12 13 13 13 13 13 14 16 18 21 23 24 25 25 25 27 29 31 33 33 32 31 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 3 2 1 1 1 1 1 1 2 2 2 2 2 2 2 3 4 5 5 4 3 3 2 2 2 3 2 3 3 2 1 1 1 1 1 1 1 1 1 1 1 0 0 1 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 0 0 0 0 0 0 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 3 4 4 5 5 6 8 9 9 11 12 11 12 12 14 15 17 20 22 24 25 26 26 26 26 28 31 32 31 30 30 29
0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 2 2 1 0 0 0 1 1 1 2 3 3 4 3 3 4 4 5 5 5 5 4 4 3 2 2 2 3 2 2 1 1 1 1 1 1 1 1 1 1 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 1 1 2 3 4 5 5 5 6 7 7 8 10 10 11 11 12 13 14 17 20 22 24 25 26 26 26 27 29 31 32 31 32 32 33
0 0 0 0 1 2 3 2 2 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 2 3 4 5 4 4 4 3 4 5 6 6 6 5 3 3 2 2 2 2 2 1 1 1 1 2 2 1 1 1 1 1 0 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 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 4 5 5 5 5 6 6 7 8 8 9 10 11 12 13 15 17 20 22 24 25 26 27 28 30 32 33 33 34 36 38
0 0 1 1 1 2 2 2 3 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 1 4 6 7 8 6 4 4 4 4 4 4 4 3 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 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 1 1 2 3 4 5 6 5 5 6 6 7 7 8 9 10 11 12 13 15 17 19 22 24 27 27 28 30 32 33 34 37 39 41
0 1 1 1 0 0 0 1 1 1 1 3 3 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 8 7 5 4 3 2 2 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 2 2 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 4 5 6 6 6 6 6 7 8 9 10 11 13 14 15 17 20 24 28 28 28 30 32 34 34 36 40 42
1 1 1 1 1 0 0 0 0 0 1 2 4 2 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 6 7 7 6 5 3 2 2 2 2 1 1 1 2 2 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 3 3 4 4 3 2 2 1 0 1 0 0 0 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 1 1 2 3 3 3 3 3 5 5 5 5 5 6 7 8 9 11 13 14 16 18 21 23 25 26 27 28 30 31 32 35 38 40
1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 5 4 3 3 2 3 2 3 3 3 4 4 3 2 2 2 2 2 2 2 2 2 1 1 0 0 1 3 4 5 5 5 6 6 6 5 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 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 1 2 2 2 2 2 3 4 5 4 4 4 5 7 8 10 11 13 15 18 19 22 23 24 25 26 26 26 28 29 32 34 36
1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 4 3 2 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 7 7 5 5 5 5 4 4 5 5 5 5 4 3 3 4 3 3 3 4 3 3 2 2 2 3 4 5 6 7 8 8 8 6 6 6 6 5 4 3 2 1 1 0 0 0 0 0 0 1 1 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 1 2 2 2 2 3 4 4 3 5 6 6 8 10 12 13 15 17 19 20 21 21 21 24 25 26 25 25 26 29 31 32
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 6 5 4 3 3 4 4 4 4 2 1 1 1 1 0 0 0 0 0 0 0 1 2 3 5 7 9 9 8 7 6 6 7 7 6 6 6 5 4 4 5 5 5 5 6 6 5 5 4 4 4 4 5 5 6 8 8 7 6 6 6 6 5 5 4 2 2 1 0 0 0 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 1 1 1 2 3 3 3 3 4 5 6 7 10 13 15 16 18 20 21 20 19 20 23 25 27 26 25 26 28 30 30
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 7 5 4 4 4 4 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 2 3 4 5 7 8 8 8 8 9 10 9 8 8 7 6 5 6 6 6 7 7 7 7 8 9 7 5 5 6 6 5 6 6 7 7 7 7 7 7 6 5 4 2 2 1 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 1 1 2 3 2 3 3 4 6 7 9 11 13 15 17 18 19 19 21 21 22 25 27 25 24 26 27 30 30
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 9 7 4 3 4 5 5 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 1 2 3 5 6 7 8 10 12 13 14 14 12 11 9 9 11 11 11 11 11 10 11 11 11 13 11 8 7 6 7 6 6 6 7 8 9 9 9 8 7 5 4 3 2 1 0 0 0 0 0 1 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 1 1 1 1 1 2 3 4 5 6 7 9 11 13 15 17 19 18 20 21 22 24 26 25 24 25 27 30 31
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 11 9 7 7 8 8 7 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 1 3 5 6 8 10 12 14 18 20 19 16 13 12 14 18 18 16 18 19 19 19 19 17 16 13 9 6 3 3 5 7 8 8 9 9 9 10 8 7 6 5 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 1 1 1 2 3 4 5 7 8 10 13 15 17 17 18 18 20 22 24 25 25 25 26 28 30
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