Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 15 14 12 12 12 12 11 11 10 9 10 11 12 12 10 8 7 5 5 5 6 6 6 5 5 6 7 9 10 11 11 11 10 9 7 6 6 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 8 8 9 9 9 10 11 11 10 9 8 9 9 8 7 6 7 7 8 8 8 8 8 7 7 7 7 6 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 6 6 6 7 7 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 7 7 7 6 5 5 7 9 9 8 7 7 7 8 8 8 8 8 8 6 5 5 6 7 8 7 7 nan
nan 15 13 12 11 11 12 12 11 10 8 8 9 11 12 11 10 9 8 6 5 5 5 4 4 4 5 6 8 9 11 12 12 12 11 9 7 7 8 9 9 9 8 9 9 9 8 8 8 7 8 8 8 8 8 9 9 8 8 8 9 9 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 8 9 9 9 10 11 11 10 9 9 9 9 9 8 7 8 8 9 8 8 8 8 7 8 8 7 7 7 7 7 8 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 6 6 6 6 7 7 8 9 10 11 11 11 10 9 9 9 10 10 10 10 10 9 8 8 8 7 7 6 6 6 4 3 4 7 9 10 8 7 6 7 7 7 8 8 8 8 6 5 6 7 8 8 7 7 nan
nan 12 10 10 10 11 11 11 9 8 7 8 9 11 10 10 10 10 9 7 6 5 4 3 3 4 5 6 8 9 11 12 12 11 10 8 8 8 9 9 9 9 8 9 9 9 9 8 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 7 6 6 6 7 7 7 6 6 8 8 8 8 9 10 10 10 9 9 9 9 8 8 8 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 8 8 7 6 6 6 6 7 8 9 10 11 11 11 11 10 9 9 9 9 9 10 10 10 9 9 9 8 7 6 6 5 4 2 3 6 8 9 8 7 7 7 7 7 7 8 9 8 6 5 6 7 8 8 7 7 nan
nan 9 9 9 10 10 10 9 8 8 8 9 10 11 10 10 9 9 8 6 5 4 3 1 2 3 4 6 7 9 10 11 10 9 8 8 8 9 9 9 9 9 9 8 8 9 10 9 7 7 7 8 8 9 10 12 12 11 11 11 10 10 9 8 8 7 8 8 8 8 7 7 7 7 7 7 6 7 8 8 7 7 8 9 9 9 9 9 8 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 7 8 8 8 9 9 9 9 9 9 10 10 11 12 11 10 9 8 7 6 6 6 6 7 8 9 10 11 11 11 10 9 9 8 8 8 8 9 9 10 10 9 9 8 6 5 5 4 2 3 5 6 7 7 7 7 7 7 7 7 8 9 8 6 6 7 8 8 8 7 7 nan
nan 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 8 5 3 3 2 1 -0 -1 0 2 4 6 8 10 10 10 9 7 8 9 9 9 9 9 9 10 9 9 10 11 10 8 7 7 8 9 10 11 12 13 13 12 11 11 10 10 10 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 7 9 8 8 8 9 8 8 7 7 8 9 10 10 9 9 9 9 10 10 10 9 9 8 8 8 7 7 8 10 11 10 9 8 7 7 8 8 8 8 9 9 9 9 10 11 12 12 11 9 8 8 7 7 7 6 6 7 8 9 10 11 11 10 9 7 7 7 7 8 9 10 10 11 10 9 8 7 6 5 4 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 nan
nan 9 9 9 8 8 8 9 8 8 8 9 9 9 9 8 7 4 1 0 0 1 -0 -1 -1 -1 1 3 5 7 8 9 10 10 9 9 9 9 8 8 9 10 11 10 9 10 11 10 8 8 8 10 10 11 11 12 13 14 13 12 11 12 12 12 10 9 9 8 9 9 10 9 9 9 9 8 8 8 8 7 6 7 8 9 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 7 8 10 12 11 10 9 8 8 7 7 7 8 8 8 9 9 10 10 11 10 10 9 10 9 8 7 7 7 7 8 8 8 9 11 11 10 8 7 6 7 8 8 9 10 10 10 10 9 9 8 6 4 4 4 6 6 5 5 5 6 7 7 7 7 7 7 6 7 8 9 8 8 9 9 10 9 nan
nan 8 8 8 8 8 8 9 8 8 8 9 9 9 7 5 2 -1 -3 -2 -1 0 0 -1 -1 -1 1 3 4 6 7 8 9 10 10 10 10 9 8 7 8 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 13 12 11 10 9 9 10 10 9 9 8 8 8 8 7 7 6 6 7 9 8 7 8 9 9 9 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 9 9 9 8 8 8 10 11 12 11 10 9 8 7 6 6 7 7 8 8 8 9 9 9 9 10 10 11 10 8 8 8 8 9 9 9 8 9 10 10 10 9 8 8 8 8 8 8 8 9 9 8 8 9 8 6 4 4 6 8 8 7 6 5 6 6 7 7 8 8 8 7 7 7 7 7 7 9 10 10 9 nan
nan 7 7 8 8 8 9 9 8 9 9 10 10 8 5 1 -3 -4 -4 -2 -0 1 1 1 0 1 3 4 5 6 7 8 9 10 10 10 10 9 8 7 7 8 8 9 10 11 12 13 12 11 10 10 10 9 8 9 10 10 10 10 11 12 12 12 11 10 9 8 8 9 8 8 7 7 7 7 7 7 6 6 7 7 8 7 7 9 10 10 9 9 9 9 9 10 11 11 10 9 9 10 10 10 11 11 11 10 9 9 8 8 9 10 11 12 11 10 9 8 7 6 6 7 7 8 8 8 9 9 9 10 11 12 11 9 8 7 8 8 8 9 10 9 9 9 9 11 11 10 9 9 8 7 7 6 7 7 7 8 8 8 6 5 6 8 10 10 8 7 6 6 6 6 7 9 10 9 8 6 6 6 7 8 9 10 10 9 nan
nan 7 8 8 8 8 9 9 9 9 10 9 8 5 1 -3 -4 -4 -2 -0 1 3 3 4 4 5 6 7 7 8 9 9 10 10 10 10 10 9 8 7 7 7 8 9 10 12 14 14 13 11 10 9 7 6 5 6 7 7 7 8 9 8 8 9 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 7 6 7 9 10 9 9 8 9 9 9 9 10 10 10 10 9 9 10 11 11 11 11 10 10 9 8 8 9 10 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 10 11 10 8 8 7 7 7 8 10 11 10 8 7 8 10 12 12 11 10 8 7 6 6 6 7 8 8 8 8 7 6 7 8 10 10 9 7 6 6 6 6 7 9 10 9 8 6 6 7 8 10 10 9 9 8 nan
nan 8 8 8 8 8 8 9 9 9 8 7 5 1 -3 -4 -2 -1 1 3 4 5 6 7 7 8 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 10 11 11 12 13 13 12 10 9 8 6 6 6 7 7 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 6 6 7 7 7 8 8 8 7 6 7 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 8 9 10 9 8 6 7 8 10 12 12 12 10 8 7 7 8 9 10 10 10 8 7 7 7 9 9 9 9 8 7 7 7 7 7 8 9 9 7 6 6 8 9 10 9 8 8 9 nan
nan 9 8 8 8 8 8 9 9 8 7 5 3 -0 -2 -1 1 3 5 6 7 8 9 9 9 10 10 10 11 11 11 11 10 10 9 10 10 10 10 11 11 12 13 12 11 11 11 11 11 10 9 8 8 8 8 8 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 7 7 7 8 10 10 9 8 8 8 9 8 8 7 7 8 9 10 12 12 10 9 9 9 10 11 12 12 11 9 8 7 8 9 9 9 9 9 8 8 8 8 7 8 8 8 7 6 7 9 9 8 7 7 8 9 nan
nan 9 9 8 8 9 9 9 8 7 5 4 3 2 3 4 6 7 9 9 10 10 9 9 10 10 11 11 11 11 11 10 9 9 9 10 10 11 11 12 12 12 12 11 10 10 9 10 10 9 9 8 8 8 8 8 8 7 6 6 6 6 6 5 5 4 3 3 4 4 5 6 6 6 6 6 6 7 7 8 8 8 8 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 10 11 12 12 12 13 12 12 10 8 7 7 8 8 9 9 8 8 9 9 8 8 8 8 7 7 7 9 10 9 8 7 7 8 8 nan
nan 9 9 9 9 9 9 9 8 6 5 4 4 5 7 8 10 11 12 13 12 11 10 10 10 11 11 10 10 10 9 9 8 8 9 10 11 12 12 11 9 8 8 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 8 7 6 6 5 4 3 3 4 5 6 7 8 8 7 7 8 8 8 8 8 8 8 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 10 10 10 9 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 9 10 10 9 8 7 7 7 8 7 7 8 9 10 10 10 9 8 7 6 6 8 10 12 12 13 13 13 13 13 11 8 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 9 10 10 9 8 6 6 7 8 nan
nan 9 9 10 10 10 9 8 7 6 5 5 6 7 9 11 12 14 15 15 14 12 12 11 11 10 10 9 9 9 9 9 8 8 9 10 11 11 11 9 8 7 7 8 8 8 9 10 11 11 9 8 7 7 6 6 7 7 8 8 8 7 6 7 6 5 5 4 5 6 8 9 9 9 9 9 10 9 8 8 8 8 8 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 10 9 9 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 10 11 10 9 8 7 8 8 8 7 7 8 9 10 10 10 10 9 8 6 6 7 8 9 10 11 13 14 14 14 13 10 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 10 10 10 8 6 7 7 8 nan
nan 9 9 9 9 9 8 7 6 5 5 6 7 9 11 12 14 16 16 16 14 13 13 12 11 10 9 9 9 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 8 8 8 10 12 11 10 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 8 7 7 8 9 9 9 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 8 9 10 10 10 9 8 8 7 7 8 8 8 8 8 8 9 10 10 10 9 8 8 7 7 7 7 7 8 9 11 12 13 13 12 11 10 9 8 7 6 6 7 7 6 6 6 7 7 7 7 8 9 9 9 7 7 8 8 8 nan
nan 8 8 8 8 8 7 6 6 5 6 7 9 10 12 14 15 16 16 16 15 14 14 12 11 10 9 10 10 10 9 8 8 7 8 9 9 9 9 9 10 10 9 9 8 8 8 9 11 12 12 11 10 9 9 10 9 8 7 7 7 7 7 7 7 8 9 10 9 9 8 8 9 9 8 8 8 7 7 7 8 10 11 10 10 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 7 8 8 9 10 10 10 9 8 9 9 9 8 8 8 8 9 8 7 7 8 8 9 9 8 9 9 9 9 9 9 9 10 10 9 7 7 7 7 7 8 10 11 12 13 13 12 11 10 9 8 7 6 5 6 6 7 7 7 7 7 8 7 7 7 8 9 9 9 nan
nan 8 8 8 7 7 6 6 5 6 7 9 10 11 12 13 14 15 15 16 15 15 13 12 11 11 11 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 7 8 8 7 7 8 10 13 14 13 13 13 13 12 10 7 6 5 5 6 7 7 8 10 11 11 10 9 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 9 8 7 7 8 8 8 9 8 8 8 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 10 10 9 9 9 9 8 8 8 9 10 11 10 9 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 9 8 9 8 8 7 8 9 10 12 12 12 12 12 11 9 7 6 6 7 8 8 7 7 6 6 6 6 6 7 8 9 8 8 nan
nan 8 8 7 7 7 6 6 6 7 9 10 11 12 12 12 12 13 14 15 15 14 13 13 13 13 13 12 12 11 10 9 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 9 11 13 14 15 16 16 16 13 10 8 6 6 6 7 8 8 9 10 11 10 9 8 8 8 8 7 7 8 8 8 8 9 11 11 9 9 9 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 9 8 8 9 10 9 8 7 7 8 9 10 10 11 12 12 11 9 7 7 8 8 8 7 6 6 6 5 5 6 7 8 8 8 8 nan
nan 9 8 8 7 7 7 7 8 9 10 10 11 11 11 11 11 11 12 13 13 12 13 15 15 14 14 13 12 11 11 10 9 8 7 7 6 6 6 5 6 7 8 9 9 10 10 11 11 12 13 15 17 17 16 14 12 10 9 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 8 7 8 9 10 9 8 7 7 8 7 7 7 7 8 8 8 9 9 9 9 8 8 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 10 9 9 9 9 9 9 10 9 9 9 8 8 9 11 11 10 9 9 8 8 9 9 9 9 9 8 7 7 8 8 8 7 7 7 8 9 8 7 6 6 6 7 8 9 10 11 11 10 9 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 9 9 9 9 8 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 10 13 15 15 14 13 12 11 11 10 9 8 8 7 6 6 6 6 6 6 8 9 9 10 11 11 12 11 11 11 12 14 15 15 14 14 14 13 11 10 11 11 11 11 10 9 8 8 8 8 8 9 10 11 11 10 9 7 7 8 9 7 6 7 8 9 9 8 8 8 8 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 7 8 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 9 8 8 7 8 10 11 11 10 9 8 8 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 6 5 5 5 6 7 8 9 10 10 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 10 10 9 9 9 10 10 9 7 6 5 4 4 5 5 6 7 7 9 12 13 13 12 11 10 10 10 9 9 8 8 7 7 6 6 6 6 7 8 9 9 10 10 11 11 11 10 8 9 10 12 13 14 15 16 15 14 12 11 11 11 10 10 10 10 10 9 9 9 10 11 12 12 11 9 7 6 6 7 7 7 7 8 8 8 8 8 8 8 6 5 5 5 5 6 7 8 8 8 8 9 9 9 8 8 8 7 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 11 11 10 9 9 9 10 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 5 6 7 7 8 8 8 7 6 6 7 7 8 9 9 9 8 8 7 7 6 7 7 nan
nan 10 10 10 10 9 9 8 8 8 7 6 5 3 2 2 2 2 4 5 7 8 10 10 10 9 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 11 9 8 8 9 11 12 13 14 15 14 13 12 11 10 10 10 10 11 12 12 12 12 11 12 12 12 12 11 10 8 6 6 6 6 7 8 8 8 8 8 8 8 8 6 5 5 5 5 6 7 7 7 7 7 8 8 8 7 7 7 8 8 9 10 10 9 8 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 10 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 5 6 7 8 9 10 10 9 9 8 8 7 7 8 8 nan
nan 10 9 9 8 7 7 6 6 5 5 5 4 3 2 1 1 1 3 4 5 7 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 11 12 13 13 13 12 11 11 10 10 10 11 12 13 13 13 14 13 13 12 12 12 10 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 5 6 8 9 9 9 9 8 8 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 8 7 7 6 6 5 5 6 7 9 9 9 9 9 8 8 8 8 9 9 nan
nan 9 8 7 6 6 5 4 4 4 4 4 2 1 1 2 2 2 3 4 5 6 7 7 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 8 8 9 9 10 10 10 11 11 11 12 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 13 14 13 13 12 11 11 10 10 9 7 6 6 6 7 8 8 7 8 8 8 8 8 7 7 6 6 6 7 6 5 5 5 5 7 7 8 7 7 6 7 7 8 8 8 8 9 9 9 9 9 10 9 9 8 9 9 9 9 8 8 8 8 8 8 7 6 5 5 6 7 8 8 7 6 6 5 5 5 6 7 7 7 7 8 8 9 9 9 8 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 7 8 9 9 9 nan
nan 9 8 7 7 7 7 6 5 4 3 1 -0 0 2 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 8 8 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 11 12 13 12 10 9 8 7 7 7 7 5 4 4 5 7 8 9 9 9 9 8 8 8 8 7 6 6 6 7 7 6 5 4 5 7 8 9 8 7 6 6 7 8 8 7 7 8 8 8 9 9 10 10 9 9 9 9 9 8 8 7 8 8 8 9 9 8 6 6 6 6 7 7 7 6 5 5 5 5 6 6 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 8 7 7 8 8 9 10 nan
nan 11 11 10 10 10 9 7 5 2 0 -1 -0 3 6 9 11 12 11 11 10 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 10 10 10 9 8 9 10 11 10 8 6 4 4 4 5 5 5 5 5 6 7 9 10 10 10 10 9 8 8 8 8 8 7 7 8 8 7 5 4 5 7 9 9 8 6 5 6 7 8 8 7 6 6 7 8 9 10 9 9 9 9 9 10 9 9 8 7 7 7 8 9 9 8 7 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 8 9 9 10 10 10 9 9 8 7 7 7 8 8 9 9 8 8 8 8 8 9 10 9 8 7 7 8 9 10 10 9 7 7 7 8 9 9 nan
nan 13 13 12 10 9 7 5 3 2 2 3 6 10 13 14 14 14 14 13 12 11 9 8 8 7 7 8 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 10 9 8 8 8 7 6 4 3 2 2 4 5 5 6 6 7 9 10 11 11 11 10 9 8 8 8 8 8 8 8 9 9 7 5 4 5 7 9 9 8 6 5 6 7 8 9 8 7 7 8 9 10 10 10 10 10 9 9 9 10 10 9 8 7 7 7 7 7 7 6 6 7 8 8 9 8 7 6 7 7 8 9 9 8 8 8 8 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 10 9 9 7 7 7 8 9 9 9 8 7 7 7 8 9 9 nan
nan 14 13 11 9 7 6 5 6 8 10 13 16 18 18 17 15 14 13 12 11 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 7 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 10 9 7 5 4 4 5 5 4 4 4 5 6 7 8 8 9 9 10 10 10 10 10 9 7 8 8 9 9 9 9 9 9 8 6 5 5 7 9 10 9 8 7 7 7 8 9 10 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 8 7 6 6 6 6 6 7 8 9 9 10 9 8 7 7 8 9 9 9 9 8 7 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 7 6 5 6 6 7 8 8 8 nan
nan 15 14 12 11 10 10 12 14 17 19 21 21 20 18 16 15 13 12 10 9 9 9 8 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 6 5 3 2 3 5 6 7 7 7 8 8 9 10 10 10 10 9 9 9 9 9 8 7 8 9 9 9 9 9 9 9 8 6 6 6 7 9 10 10 9 9 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 9 9 10 10 10 10 8 7 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 7 6 5 5 5 6 5 4 4 3 4 5 6 7 7 7 nan
nan 15 15 15 16 16 17 18 20 21 22 21 20 18 16 15 14 13 11 10 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 6 5 4 4 4 5 6 8 8 8 8 8 9 10 11 11 11 10 9 8 8 9 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 7 6 6 7 8 8 9 9 10 10 10 9 8 8 9 9 8 8 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 6 4 4 4 5 6 5 4 4 4 4 4 5 5 5 5 nan
nan 13 14 15 16 17 18 18 18 18 17 16 15 15 14 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 11 9 9 9 10 9 9 9 9 9 9 10 9 9 9 8 7 7 9 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 9 10 10 10 8 7 7 8 9 9 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 9 8 8 7 5 4 4 5 6 7 7 6 6 6 6 5 5 5 5 5 nan
nan 10 11 12 13 13 14 14 14 13 13 13 14 14 13 13 12 12 12 12 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 9 10 10 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 9 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 10 10 10 8 7 7 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 7 6 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 nan
nan 8 8 8 9 10 11 12 12 13 13 14 14 14 13 12 12 12 12 12 12 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 10 10 9 8 7 6 5 5 7 9 9 9 9 10 10 9 9 10 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 10 10 9 10 10 9 9 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 10 10 10 9 8 8 9 10 10 10 10 10 10 10 9 8 8 7 6 6 6 7 8 9 9 9 8 7 6 6 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 7 7 8 8 9 9 10 11 12 13 14 14 14 12 12 12 12 12 12 12 11 10 9 10 9 8 8 8 8 9 9 8 8 8 9 9 10 9 9 9 8 8 9 9 8 8 7 6 5 5 5 6 8 9 10 10 10 10 10 9 9 11 12 12 12 11 10 9 9 10 10 11 11 11 11 11 10 10 9 9 10 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 9 10 10 10 10 9 8 9 10 10 10 11 11 11 11 10 9 9 7 6 5 6 7 8 8 8 8 7 6 5 5 5 6 6 6 6 7 7 8 8 8 9 9 9 9 9 8 9 9 9 9 8 nan
nan 6 7 8 9 9 8 7 8 10 12 13 13 12 12 11 11 11 12 12 11 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 10 10 10 9 9 9 8 8 7 5 5 4 5 5 6 8 9 9 10 10 10 9 9 9 9 10 11 12 12 12 11 10 10 10 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 8 9 8 7 7 7 7 8 8 8 8 8 10 11 11 10 10 9 8 8 9 9 10 11 12 11 11 10 9 9 7 6 6 6 7 7 7 8 8 7 7 7 7 7 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 4 6 8 9 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 10 9 8 7 7 8 8 9 10 10 9 9 9 8 8 7 6 5 5 5 6 7 8 9 9 9 9 9 9 8 8 8 9 10 11 11 11 12 11 11 11 11 11 11 12 12 12 11 10 10 10 9 9 9 8 8 9 9 9 9 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 7 7 8 7 7 7 9 9 8 8 8 8 8 8 8 8 8 9 10 11 10 10 10 9 9 8 9 9 9 10 10 10 10 9 10 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 10 10 10 10 9 9 9 nan
nan 2 3 6 8 10 11 11 11 11 9 9 10 10 11 11 12 12 11 11 10 11 11 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 8 7 7 7 7 6 6 6 6 7 8 9 10 10 9 8 8 8 8 8 8 9 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 9 9 9 9 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 9 9 8 7 8 9 9 9 8 8 8 9 10 10 10 9 9 9 10 10 9 8 8 9 9 9 9 10 11 10 9 8 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 10 10 11 11 10 10 10 10 11 11 11 10 10 10 10 nan
nan -1 -0 2 5 7 9 10 11 11 10 9 9 10 11 11 11 12 12 12 11 11 10 10 10 9 9 9 10 11 10 9 9 9 10 10 9 8 7 6 5 5 6 6 5 6 6 7 9 9 10 10 9 8 7 7 6 7 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 9 9 9 9 9 9 8 8 8 9 10 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 7 9 10 10 9 8 8 9 10 10 10 9 8 8 9 10 10 9 9 9 9 9 9 10 11 12 12 11 10 9 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 10 10 10 11 11 11 11 11 10 10 10 nan
nan -2 -1 1 3 4 6 6 7 8 8 8 9 9 9 10 10 11 12 12 12 11 11 10 9 9 9 10 11 10 10 10 10 11 11 10 9 7 5 5 5 5 5 5 5 6 7 8 9 9 9 8 8 7 6 6 6 7 7 8 9 9 10 10 10 11 11 10 10 9 8 9 9 9 9 10 11 11 12 11 11 10 10 9 9 9 9 9 8 9 9 9 8 8 8 8 9 8 7 7 6 6 6 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 9 8 8 9 11 11 10 9 10 11 11 11 11 9 8 8 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 1 2 3 4 4 4 5 5 5 5 6 6 7 8 8 9 9 10 11 12 11 11 10 10 10 10 11 11 10 9 9 10 10 10 8 6 5 5 5 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 10 10 11 10 11 12 13 13 13 12 11 10 11 11 11 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 8 8 9 9 9 10 10 nan
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nan 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 6 6 5 4 4 4 4 5 5 6 6 7 7 7 7 8 9 11 13 14 15 16 16 17 18 18 17 15 14 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 8 8 9 10 12 12 12 12 12 12 13 13 14 15 15 15 15 14 13 12 11 10 9 8 7 6 6 5 5 5 4 4 5 5 6 8 9 11 11 10 9 8 6 6 8 10 12 11 9 6 5 7 10 11 11 11 11 12 13 13 13 12 11 10 9 9 9 9 8 8 8 7 6 6 7 10 13 14 15 14 13 13 12 12 12 11 11 11 11 12 13 13 nan
nan 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 6 6 7 7 7 8 9 10 12 13 14 15 15 16 18 18 18 17 15 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 10 11 12 12 13 13 14 14 13 13 13 13 13 13 13 12 11 10 10 10 10 9 9 8 8 7 6 5 5 4 4 4 6 7 9 10 10 9 9 8 7 7 9 11 12 11 9 8 9 12 13 12 12 12 14 16 17 17 17 15 12 10 8 7 7 6 6 6 6 6 6 7 10 13 15 16 15 14 13 13 12 12 11 10 10 11 11 13 13 14 nan
nan 11 10 10 9 9 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 7 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 6 6 7 8 8 10 11 12 13 14 14 15 16 17 18 17 16 14 13 12 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 11 11 11 12 12 13 14 14 14 13 12 11 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 9 7 7 6 5 4 4 5 6 8 9 10 10 10 9 8 9 10 11 12 12 11 11 12 13 12 11 11 12 14 15 15 16 18 18 17 14 11 9 8 7 7 6 7 7 8 9 12 14 16 16 15 15 14 13 12 11 10 9 9 10 12 13 13 14 nan
nan 11 11 11 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 5 5 6 6 6 6 7 8 9 10 11 12 12 13 14 15 16 16 16 16 14 13 12 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 12 13 14 14 14 14 13 11 9 8 7 7 7 7 8 9 9 9 9 10 11 12 13 13 13 13 11 9 8 7 6 5 4 4 5 7 8 9 10 10 10 9 10 10 12 13 12 11 11 11 11 11 10 10 11 12 12 13 16 19 20 20 18 15 13 11 10 9 8 7 8 8 10 13 14 16 16 16 16 15 14 12 10 9 9 9 10 12 12 13 13 nan
nan 11 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 7 8 9 10 11 11 12 13 13 14 14 15 15 15 14 13 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 13 14 15 14 13 12 10 8 6 6 6 6 6 7 7 8 8 8 9 10 10 11 12 13 14 14 13 11 9 8 6 5 4 3 4 5 7 9 10 10 10 10 10 11 12 13 12 12 11 10 10 10 9 10 11 12 12 14 16 17 17 17 15 15 14 12 11 9 7 7 7 9 11 13 15 17 17 17 17 16 14 12 10 9 8 8 10 10 11 12 13 nan
nan 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 4 4 5 6 6 7 7 7 8 8 9 10 11 12 13 13 14 14 15 15 15 14 14 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 13 14 15 15 14 13 11 9 7 5 5 5 5 6 6 6 7 7 7 8 9 9 10 11 11 11 12 13 13 12 11 9 7 5 4 3 3 4 6 9 10 10 10 10 10 12 13 13 12 11 11 10 10 10 10 11 12 12 13 14 14 13 12 11 10 11 11 10 8 6 6 6 8 9 11 13 15 16 17 18 17 16 15 12 10 8 7 7 7 7 9 12 14 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 6 7 8 9 9 9 9 10 10 11 12 13 14 15 16 16 16 16 15 14 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 12 13 13 14 15 15 14 12 10 8 7 6 5 5 5 5 6 6 6 6 6 7 8 9 9 10 10 10 10 10 11 12 12 12 10 7 6 5 4 3 4 7 9 11 10 10 11 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 11 10 10 9 8 7 7 7 7 6 5 6 7 9 10 12 13 14 15 16 17 17 17 16 13 10 7 5 4 4 6 10 15 17 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 6 5 5 5 5 6 6 7 9 10 10 11 11 12 12 13 13 14 14 15 16 17 17 16 15 14 13 12 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 11 12 13 14 13 12 11 9 8 7 7 7 6 6 5 5 5 6 7 7 7 7 8 9 9 9 10 10 10 10 11 12 13 13 10 7 6 5 4 5 5 7 9 10 10 11 12 12 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 8 7 5 5 5 5 5 6 7 8 10 11 12 13 14 15 16 17 18 18 16 12 8 5 3 3 4 8 15 20 20 nan
nan 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 6 7 7 7 6 5 5 5 6 6 7 8 9 10 10 11 12 13 14 14 15 14 14 15 16 17 17 16 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 9 8 9 9 10 10 9 9 10 10 11 10 10 11 12 12 12 11 9 8 8 7 7 7 8 7 7 6 6 7 8 8 8 8 8 9 9 8 8 9 9 9 10 11 12 13 13 10 8 6 6 5 6 6 7 7 8 9 10 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 9 9 8 8 6 5 4 4 5 6 7 8 10 11 13 14 14 15 16 18 20 20 19 14 10 6 4 4 5 7 12 19 21 19 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 7 5 5 5 6 7 8 9 9 10 10 11 12 13 14 15 15 16 16 16 17 17 16 15 15 14 13 12 11 11 10 10 10 10 10 11 11 10 10 10 10 9 8 9 9 10 11 11 11 9 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 8 8 8 8 9 10 12 13 12 9 7 6 6 6 6 5 4 4 5 6 7 6 6 8 10 11 11 10 10 10 10 10 10 11 11 11 10 9 9 8 7 5 4 3 4 5 6 7 9 11 13 14 15 15 16 18 21 23 22 17 11 6 4 5 7 8 10 14 17 18 17 nan
nan 6 6 6 7 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 6 7 9 10 10 10 10 10 10 11 12 15 16 18 18 18 18 17 16 14 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 11 10 9 9 8 9 10 10 10 10 10 10 10 11 11 12 12 12 12 10 9 8 7 7 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 10 10 9 8 7 6 7 9 12 12 10 7 6 6 7 7 6 4 3 3 3 4 3 4 6 11 13 14 13 12 12 11 11 11 11 11 11 10 10 10 10 9 7 4 3 3 4 5 7 9 11 12 14 14 15 15 17 20 23 24 21 13 7 4 5 7 10 11 12 14 16 17 16 nan
nan 5 6 7 8 9 10 10 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 10 11 11 10 10 9 9 10 11 13 16 19 20 20 19 17 15 14 13 12 12 11 12 11 10 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 10 11 11 11 10 10 10 10 11 11 13 13 13 12 10 9 8 7 8 8 8 8 8 8 9 10 11 12 12 11 10 9 9 9 10 10 10 10 9 7 5 5 8 10 11 8 5 5 6 8 7 6 5 5 5 5 4 3 4 9 13 15 14 14 14 14 14 13 12 11 11 10 9 9 9 9 7 4 1 0 2 4 7 9 11 12 14 14 14 14 15 17 19 20 19 13 7 5 5 8 11 12 12 13 15 17 17 16 nan
nan 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 13 15 18 19 19 18 17 15 13 13 12 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 9 8 8 9 10 10 11 11 11 11 11 11 10 11 12 13 14 14 12 10 8 7 7 8 7 7 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 8 6 5 7 8 8 6 4 5 7 9 9 8 7 8 9 8 7 6 7 11 13 13 13 14 14 14 13 12 11 11 10 9 7 6 5 4 2 -1 -2 -1 3 7 10 12 13 14 15 15 15 15 16 17 16 14 10 5 3 4 7 11 13 13 13 14 17 18 18 16 nan
nan 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 11 12 13 15 17 18 18 17 15 14 13 12 12 12 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 12 13 14 15 13 10 8 7 7 8 8 7 7 7 8 8 8 9 10 11 11 11 10 10 11 11 10 10 10 10 9 7 7 7 7 6 5 6 7 9 10 10 10 10 11 10 9 8 8 10 12 12 12 13 14 14 13 12 11 10 9 8 6 4 2 1 -0 -1 -1 0 3 7 11 13 14 15 15 16 17 17 18 18 16 14 10 6 4 4 7 11 13 14 14 16 18 19 19 18 15 nan
nan 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 11 11 11 10 9 8 7 6 7 8 10 11 13 15 16 17 17 16 15 14 14 13 13 12 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 13 13 13 12 10 9 8 8 8 9 9 9 8 8 8 9 9 10 10 10 9 9 10 11 11 10 8 8 8 8 8 8 7 7 6 7 9 10 11 11 12 12 12 11 10 9 8 9 11 12 12 14 16 16 15 13 11 9 8 6 3 1 -1 -2 -1 0 3 6 9 12 13 15 15 16 17 17 18 19 20 20 19 17 15 11 8 8 8 11 13 13 15 16 18 20 20 19 16 14 nan
nan 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 12 12 12 12 12 13 12 12 11 10 10 8 7 6 7 8 11 12 14 15 17 18 18 17 15 13 12 13 13 12 11 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 11 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 7 7 9 10 11 9 7 7 8 9 9 9 8 8 8 10 12 13 13 14 14 14 12 10 9 9 9 11 12 12 13 15 17 17 16 13 10 6 3 -0 -2 -2 -2 -0 3 8 12 15 17 17 17 18 19 20 20 20 20 21 21 19 18 16 14 12 10 9 10 11 13 14 16 17 19 18 17 16 14 12 nan
nan 9 9 9 9 9 10 10 11 12 12 12 12 12 11 10 10 10 11 11 11 11 12 11 11 11 10 9 8 8 8 10 11 13 14 16 17 18 19 18 17 14 12 12 12 12 11 10 8 8 8 9 9 9 9 9 9 8 8 7 8 8 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 8 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 9 9 9 8 7 8 9 10 10 10 10 10 11 12 13 14 15 16 16 14 12 10 10 11 12 13 13 13 14 15 16 16 15 12 7 3 0 -1 0 2 5 9 13 18 21 21 21 20 21 22 23 23 22 21 21 19 17 15 13 11 9 8 7 8 10 12 13 15 16 17 16 15 13 12 11 11 nan
nan 9 8 8 8 9 10 11 11 12 12 12 11 11 9 8 8 9 10 10 11 11 11 11 11 10 10 10 9 10 11 12 13 14 15 16 17 18 18 17 16 14 13 12 12 11 9 8 7 7 8 8 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 11 11 11 11 10 9 8 8 7 8 8 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 6 5 7 9 9 9 9 9 8 9 10 10 11 10 10 10 11 11 12 12 14 15 15 14 12 11 12 14 16 16 15 14 14 15 17 18 18 18 14 8 6 6 7 10 13 16 19 22 25 24 22 20 20 21 22 22 21 19 18 16 14 11 9 8 7 5 5 7 9 12 13 14 15 15 14 13 11 10 9 9 10 nan
nan 7 7 7 7 8 9 10 11 11 11 11 10 9 8 7 7 8 9 10 11 11 11 11 11 12 12 12 12 13 13 14 14 14 15 16 16 16 16 16 15 14 13 12 10 9 8 7 7 8 8 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 7 10 10 10 9 9 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 13 16 18 19 19 17 16 16 18 21 23 24 23 18 14 14 14 16 19 20 22 23 24 22 19 16 15 15 15 15 15 14 13 11 10 8 7 7 8 8 8 9 11 12 13 14 14 14 14 12 10 9 9 9 9 9 nan
nan 7 6 6 7 8 9 10 10 10 9 9 8 8 7 7 7 8 9 10 12 12 13 14 14 15 15 15 15 15 15 15 14 14 15 15 15 14 14 14 14 13 12 11 10 9 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 8 7 7 8 8 9 9 10 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 8 7 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 12 13 15 17 18 19 17 16 16 18 20 22 24 24 22 19 17 17 17 18 19 20 20 19 17 14 11 9 9 11 12 12 11 11 10 10 9 9 10 11 11 11 12 13 14 14 14 14 14 13 12 11 10 9 9 9 9 10 nan
nan 7 6 6 7 8 9 9 9 9 8 8 8 7 7 8 8 9 10 11 13 14 16 17 18 18 18 18 17 17 16 15 14 13 13 13 13 13 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 7 8 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 14 15 14 13 13 14 16 17 18 17 16 15 14 14 14 14 15 15 15 14 13 12 11 11 11 12 14 15 15 15 15 15 14 14 14 15 15 14 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 9 nan
nan 8 7 7 7 8 9 9 8 8 8 8 8 8 9 9 10 11 12 14 15 16 17 19 19 18 18 17 17 16 15 14 12 12 11 12 12 13 13 13 13 13 12 12 11 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 8 8 7 7 8 8 8 8 9 10 11 11 11 10 9 8 8 9 9 9 10 10 10 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 12 12 11 12 12 12 12 13 13 12 11 11 11 11 11 12 13 13 12 11 12 13 15 17 18 19 19 18 18 18 17 17 17 16 16 14 13 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 10 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 13 14 15 16 17 17 18 18 17 16 15 14 14 13 13 12 11 10 10 11 11 12 13 13 13 12 12 11 11 11 11 10 10 10 10 9 9 9 10 10 9 9 9 9 9 8 8 9 9 8 8 7 8 8 9 10 11 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 7 7 8 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 10 10 11 12 13 13 12 12 14 15 16 16 17 17 17 17 16 15 15 15 14 14 13 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 12 11 10 nan
nan 8 8 8 8 8 7 8 8 7 7 8 9 10 12 14 16 16 17 17 17 17 17 16 15 14 13 12 11 11 11 11 10 10 10 11 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 9 9 10 10 10 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 10 9 9 10 10 10 10 9 9 9 9 9 10 9 9 8 8 6 6 7 8 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 6 5 3 2 3 5 8 10 11 11 12 12 12 12 11 11 11 11 11 11 10 8 7 7 9 12 13 14 13 13 12 13 13 13 13 13 13 14 14 14 14 13 13 12 12 12 11 11 12 11 11 11 11 10 10 10 10 11 11 11 11 12 12 13 13 13 nan
nan 8 8 8 7 7 6 7 7 7 7 8 10 12 14 16 17 17 17 16 16 16 15 14 13 12 12 11 11 11 11 10 10 10 10 11 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 11 10 10 10 10 10 9 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 8 9 9 9 9 9 8 7 5 4 4 6 8 10 10 10 9 9 9 10 10 10 10 10 11 10 10 10 9 8 7 5 2 1 0 1 4 7 9 10 10 10 10 10 10 10 9 9 9 10 10 10 8 5 4 7 11 15 16 14 13 12 11 12 12 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 nan
nan 9 8 8 7 6 6 6 6 6 7 9 12 14 16 17 16 15 15 14 14 14 13 12 11 11 11 11 11 11 11 11 10 10 11 11 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 9 10 10 9 8 7 8 9 9 10 10 11 11 11 10 10 11 12 12 12 11 10 9 9 9 10 10 9 8 7 6 4 4 4 6 8 9 10 10 10 9 9 9 9 9 9 10 9 9 9 8 7 6 3 1 -1 -1 1 5 9 12 13 13 12 12 11 10 8 6 5 5 6 8 7 6 3 2 5 10 16 19 17 13 11 11 11 11 11 10 11 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 nan
nan 9 8 8 7 6 5 5 6 7 9 12 15 16 16 16 14 13 13 12 12 12 12 11 11 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 8 8 9 9 7 7 7 7 7 8 8 9 10 10 10 9 10 13 15 16 16 14 12 11 10 10 10 9 8 6 5 5 5 5 5 6 8 8 9 10 10 10 9 9 9 9 9 9 8 7 6 5 3 1 -1 -2 -1 2 6 10 12 14 14 16 17 16 15 13 10 7 6 6 7 8 6 4 2 5 11 18 22 21 16 12 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 12 11 11 11 11 11 11 12 12 13 13 nan
nan 9 9 8 7 6 5 6 7 10 12 15 17 17 16 14 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 13 13 13 13 13 14 14 14 13 13 13 13 12 12 11 11 11 11 12 12 12 11 11 11 12 12 13 12 11 11 10 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 7 7 9 11 14 17 18 17 15 14 13 11 10 8 6 4 4 4 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 7 6 4 2 1 -0 -1 1 4 7 10 12 13 13 14 16 18 18 18 16 14 12 11 11 11 10 9 7 8 14 20 25 24 19 14 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 9 9 8 7 7 7 9 11 13 15 16 17 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 14 14 15 15 14 14 13 13 13 12 12 11 11 11 10 10 10 10 10 10 11 12 13 13 14 13 13 12 11 11 11 12 12 11 11 10 8 7 7 6 6 7 7 7 7 8 9 10 12 14 15 15 15 14 12 10 8 6 4 4 5 6 7 7 8 9 9 10 10 10 10 9 8 8 9 9 9 9 8 6 4 4 4 5 6 9 10 11 12 13 13 14 15 16 17 17 17 16 14 13 13 12 12 12 12 14 18 22 24 21 16 13 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1428 1696 1927 2099 2239 2327 2299 2231 2154 2052 1924 1791 1658 1532 1420 1346 1310 1288 1297 1299 1309 1314 1315 1320 1337 1365 1414 1448 1485 1538 1620 1734 1867 1984 2087 2167 2227 2275 2304 2296 2265 2257 2295 2316 2288 2220 2144 2076 2003 1949 1933 1947 1981 2017 2034 2020 1968 1874 1748 1604 1447 1269 1080 887 703 543 408 298 218 165 128 94 67 53 47 44 42 40 37 33 28 26 25 25 26 28 27 28 31 32 28 22 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1607 1816 1978 2092 2179 2185 2136 2069 1995 1905 1798 1688 1581 1487 1420 1379 1360 1357 1364 1367 1370 1368 1363 1358 1358 1368 1403 1408 1413 1437 1498 1595 1714 1841 1968 2076 2171 2232 2247 2227 2198 2237 2299 2337 2327 2276 2205 2128 2057 2005 1991 2006 2040 2072 2074 2024 1925 1795 1634 1456 1266 1069 890 706 535 389 272 186 132 104 85 61 43 31 25 23 22 21 16 16 14 12 12 12 13 13 14 15 17 18 17 12 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1754 1903 2007 2069 2094 2061 2002 1940 1877 1806 1724 1650 1548 1472 1439 1429 1428 1436 1453 1473 1471 1455 1428 1408 1406 1411 1426 1401 1375 1372 1402 1467 1564 1697 1850 1987 2098 2156 2164 2159 2186 2252 2319 2372 2383 2347 2278 2201 2126 2077 2060 2070 2093 2105 2079 1989 1858 1688 1484 1264 1050 859 691 534 395 279 191 131 94 73 58 41 28 17 10 8 12 17 6 5 4 3 3 4 5 4 4 5 6 7 6 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1874 1969 2030 2050 2041 1994 1931 1871 1813 1753 1693 1639 1569 1540 1527 1523 1524 1535 1567 1594 1564 1440 1348 1356 1427 1466 1483 1468 1448 1426 1410 1422 1489 1605 1759 1905 1996 2054 2097 2142 2220 2309 2383 2442 2453 2417 2357 2298 2209 2158 2142 2149 2151 2120 2037 1884 1720 1516 1293 1068 856 675 523 394 285 201 141 100 70 49 36 24 14 7 3 1 4 11 3 1 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1970 2022 2052 2049 2018 1969 1915 1855 1796 1745 1705 1676 1644 1629 1627 1627 1632 1647 1664 1625 1301 1189 1243 1365 1477 1545 1590 1617 1639 1638 1591 1510 1465 1553 1697 1824 1911 1992 2084 2182 2289 2404 2483 2525 2535 2512 2460 2398 2332 2275 2240 2216 2166 2066 1920 1700 1498 1294 1087 876 676 511 387 288 198 134 90 60 38 24 15 9 4 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2036 2064 2075 2058 2014 1971 1912 1844 1793 1760 1734 1712 1685 1687 1707 1723 1730 1746 1785 1822 1507 1316 1304 1395 1513 1619 1691 1756 1829 1876 1839 1722 1610 1641 1735 1821 1908 2011 2134 2264 2385 2516 2597 2628 2643 2635 2593 2542 2485 2415 2336 2242 2092 1889 1686 1420 1175 976 795 620 462 342 244 195 126 75 43 23 11 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2093 2104 2102 2073 2017 1959 1888 1836 1803 1788 1779 1764 1751 1757 1770 1787 1818 1865 1917 1944 1823 1688 1663 1685 1714 1755 1816 1831 1936 2029 2031 1959 1889 1885 1901 1944 2020 2124 2257 2401 2521 2652 2727 2754 2764 2763 2743 2698 2616 2500 2320 2093 1791 1438 1131 879 673 508 383 282 205 154 94 90 60 31 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2154 2154 2143 2106 2045 1989 1921 1883 1868 1858 1842 1817 1791 1769 1757 1780 1819 1862 1893 1894 1850 1815 1822 1871 1937 1995 2024 1877 1983 2114 2164 2146 2122 2126 2121 2136 2199 2301 2430 2562 2667 2787 2869 2914 2928 2914 2875 2802 2647 2337 1934 1545 1162 782 472 299 206 133 88 61 43 33 14 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2218 2214 2197 2154 2090 2038 1980 1959 1942 1915 1875 1828 1783 1751 1760 1785 1798 1788 1754 1691 1578 1479 1421 1422 1508 1668 1827 1909 2025 2164 2261 2307 2325 2330 2322 2330 2394 2501 2626 2748 2860 2988 3053 3056 2990 2872 2713 2514 2339 1770 1227 823 530 299 133 45 23 12 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2278 2270 2249 2206 2152 2106 2058 2031 1997 1950 1892 1829 1773 1742 1762 1741 1670 1545 1376 1192 1030 923 870 897 1074 1372 1666 1910 2091 2271 2411 2488 2507 2498 2502 2534 2614 2724 2844 2973 3100 3082 2966 2817 2571 2323 2089 1775 1536 1009 606 348 194 99 40 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2331 2318 2290 2247 2201 2164 2119 2075 2031 1976 1906 1834 1777 1737 1711 1606 1432 1209 972 766 626 592 622 715 895 1197 1599 1948 2216 2423 2559 2630 2654 2661 2686 2719 2777 2864 2919 2893 2762 2466 2186 2018 1741 1469 1256 993 752 481 296 184 117 73 41 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2371 2357 2323 2280 2236 2196 2150 2098 2048 1985 1910 1836 1774 1719 1635 1486 1280 1047 823 648 554 577 649 764 956 1269 1692 2087 2388 2592 2705 2757 2770 2757 2750 2719 2670 2614 2492 2276 1988 1673 1350 1223 1024 805 639 495 362 257 188 146 117 88 57 23 11 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2403 2391 2358 2314 2266 2215 2160 2106 2056 1994 1925 1856 1789 1719 1628 1482 1297 1091 894 749 697 745 833 971 1200 1530 1923 2289 2562 2732 2779 2748 2699 2635 2444 2301 2128 1933 1699 1421 1145 985 766 691 580 456 359 282 208 161 134 120 101 69 40 17 11 8 7 8 9 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2444 2431 2399 2354 2304 2250 2195 2142 2090 2030 1962 1894 1829 1760 1680 1569 1424 1256 1093 979 952 1008 1109 1270 1522 1852 2206 2514 2712 2740 2685 2537 2349 2150 1865 1596 1370 1184 989 800 659 554 461 394 329 272 224 177 134 108 94 88 68 36 20 15 12 12 14 18 22 26 19 11 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2482 2468 2437 2394 2344 2292 2242 2195 2143 2085 2016 1946 1881 1819 1750 1660 1555 1433 1319 1249 1254 1321 1461 1670 1942 2238 2504 2697 2780 2620 2416 2154 1846 1533 1266 1025 831 708 599 492 406 338 289 232 186 152 122 90 80 68 59 54 42 24 17 15 10 10 15 18 19 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2506 2495 2469 2431 2385 2337 2291 2243 2190 2133 2066 1999 1937 1882 1825 1756 1682 1606 1549 1535 1580 1685 1850 2047 2264 2471 2630 2703 2668 2407 2088 1738 1392 1093 866 694 572 479 416 367 320 278 232 170 116 79 52 29 28 32 32 31 26 18 12 10 6 4 5 7 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2516 2512 2489 2458 2416 2372 2326 2274 2217 2155 2088 2023 1963 1910 1859 1815 1769 1742 1747 1791 1879 2011 2172 2335 2477 2560 2561 2478 2362 2063 1733 1399 1083 817 632 511 439 374 332 305 274 237 185 128 81 45 22 11 11 15 17 17 15 11 6 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2513 2516 2499 2471 2434 2391 2341 2281 2213 2140 2066 1992 1925 1864 1811 1783 1765 1782 1834 1920 2039 2187 2340 2466 2528 2483 2330 2115 1924 1669 1413 1154 901 687 544 426 375 336 306 280 248 206 153 105 74 48 26 16 15 15 15 13 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2489 2500 2489 2464 2426 2378 2316 2240 2152 2058 1965 1880 1810 1746 1687 1665 1679 1728 1808 1918 2052 2191 2292 2332 2326 2198 1990 1772 1525 1311 1140 967 801 656 534 425 374 337 304 266 220 169 114 75 52 38 31 29 24 19 15 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2444 2461 2456 2424 2370 2294 2198 2091 1977 1869 1782 1689 1635 1594 1546 1548 1607 1698 1791 1883 1973 2054 2096 2053 1960 1788 1592 1416 1226 1046 929 810 709 624 538 457 384 330 282 228 161 91 49 25 13 10 14 23 29 24 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2373 2371 2340 2273 2184 2081 1971 1860 1753 1655 1608 1512 1485 1500 1522 1585 1698 1772 1788 1790 1803 1816 1763 1592 1455 1353 1265 1161 1022 880 798 713 643 579 500 418 342 275 214 147 72 13 3 1 1 0 2 5 8 9 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 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2265 2231 2170 2084 1983 1871 1753 1633 1520 1426 1462 1450 1493 1568 1653 1755 1817 1680 1626 1635 1652 1601 1402 1089 952 976 1030 1007 900 783 708 634 560 487 411 337 258 176 107 50 12 1 0 0 0 0 0 0 1 3 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 1 2 4 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2130 2052 1951 1842 1729 1606 1505 1427 1380 1395 1467 1550 1647 1742 1838 1936 1954 1742 1674 1663 1627 1511 1304 1118 1057 1040 1002 921 819 719 632 544 457 373 293 216 138 67 26 7 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 2 2 3 5 6 7 8 7 4 1 0 0 0 1 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 0 0 0 0 0 0
1933 1862 1784 1706 1641 1570 1518 1478 1460 1490 1560 1653 1737 1805 1865 1919 1946 1963 1902 1767 1602 1432 1256 1125 1053 996 926 839 742 649 549 445 343 248 163 92 36 7 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 6 5 4 2 1 0 0 1 2 6 6 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 0 0 0 0
1873 1817 1759 1698 1640 1587 1510 1458 1454 1493 1570 1669 1759 1836 1905 1970 2024 2028 1908 1733 1538 1349 1185 1067 984 903 823 740 653 562 458 348 242 149 76 24 3 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 3 2 1 1 1 0 0 0 0 1 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1851 1800 1744 1676 1600 1541 1483 1472 1512 1587 1687 1794 1879 1937 1986 2036 2077 2029 1867 1668 1459 1263 1103 986 888 797 713 632 549 461 362 262 171 91 30 3 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1797 1756 1711 1656 1597 1561 1556 1599 1684 1792 1897 1969 1988 1967 1951 1945 1919 1848 1719 1539 1333 1140 988 871 772 685 599 515 434 352 267 186 113 48 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 8 10 11 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0
1773 1756 1745 1733 1727 1744 1795 1862 1918 1956 1981 1983 1942 1896 1862 1824 1756 1649 1506 1342 1162 991 851 738 641 552 468 389 316 247 179 115 59 20 3 0 0 0 0 0 0 0 0 0 0 0 0 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 14 15 17 18 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1663 1681 1702 1716 1735 1770 1813 1849 1861 1850 1832 1824 1798 1777 1744 1685 1589 1452 1288 1135 986 846 722 612 516 431 355 287 223 162 102 50 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 14 14 12 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1261 1304 1341 1365 1387 1436 1503 1534 1554 1572 1594 1625 1636 1632 1595 1516 1400 1258 1111 966 839 724 615 513 421 344 277 213 150 92 44 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 12 9 5 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 0 0 0 0 0 0 0 0
774 813 851 890 936 1015 1137 1230 1302 1365 1423 1474 1488 1466 1409 1317 1200 1073 951 824 715 616 519 426 340 266 201 138 79 35 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0
494 522 565 625 704 804 936 1065 1157 1227 1283 1315 1297 1241 1167 1081 987 888 783 683 591 504 417 333 255 185 125 70 28 7 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 8 7 3 2 2 2
376 412 464 534 618 712 827 953 1047 1096 1103 1078 1028 962 896 830 763 691 610 536 462 387 311 237 168 103 52 20 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 17 20 19 14 11 10 9
298 331 376 434 497 565 649 732 797 829 825 790 730 666 621 583 540 490 439 389 335 275 213 150 90 39 11 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 0 0 0 0 0 0 0 1 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 1 1 2 2 3 3 5 10 15 19 23 26 24 21 19 18
216 232 256 293 339 390 451 503 533 546 531 480 401 376 382 377 353 319 283 247 208 165 118 70 31 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 5 9 7 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 2 2 1 1 0 0 0 0 1 1 1 1 2 1 0 1 2 3 5 6 7 7 9 12 16 20 25 27 28 27 24 23
158 157 156 169 192 216 239 289 333 329 271 190 138 160 199 208 190 158 127 106 86 65 41 19 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 8 13 12 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 1 2 1 1 1 2 2 2 1 1 0 0 0 1 1 2 3 3 3 3 3 3 3 3 2 1 1 2 3 3 4 5 6 5 6 7 7 8 9 10 10 11 13 15 18 21 25 27 30 31 32 31
139 124 107 92 76 60 55 105 165 153 84 19 29 48 72 78 69 53 37 28 19 12 6 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 2 9 13 9 1 0 0 1 3 9 18 21 14 7 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 2 3 3 3 1 1 2 3 3 4 5 5 5 6 6 5 5 5 5 5 5 7 7 6 7 9 11 11 11 11 10 10 11 12 11 11 12 15 19 22 25 28 32 36 39 40
128 115 102 87 57 23 4 14 17 10 5 4 5 11 16 16 12 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 20 17 10 2 4 8 13 20 26 27 18 12 10 9 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 1 2 4 5 6 5 5 5 5 5 6 6 7 8 8 8 7 7 8 9 9 10 13 11 10 11 13 14 15 15 14 15 15 16 13 11 10 11 15 19 21 25 29 34 40 44 46
125 119 113 113 87 41 2 4 3 4 4 4 5 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 14 17 16 7 10 16 22 26 28 33 28 23 20 19 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 3 3 2 1 1 2 4 7 9 10 11 11 10 9 9 9 11 12 13 12 9 9 8 8 9 9 11 14 17 16 16 16 16 20 20 19 19 20 21 21 17 14 15 18 21 20 22 26 31 37 45 48 51
124 117 108 114 99 58 14 9 13 13 9 6 4 4 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 0 0 0 0 0 0 0 0 0 0 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 2 7 14 21 26 28 26 35 36 31 25 20 17 12 6 3 1 0 0 0 0 0 0 1 1 2 1 1 2 2 2 2 2 3 4 4 6 7 8 7 5 3 4 5 9 14 16 14 13 14 14 14 14 15 15 15 13 11 10 10 11 11 11 12 14 18 19 19 19 18 17 18 18 17 18 19 20 21 20 21 23 25 25 24 28 33 38 44 50 53 56
65 64 59 62 65 63 46 13 24 23 15 7 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 15 21 25 27 26 34 37 34 26 18 18 11 6 3 1 0 0 1 2 3 4 5 5 5 5 6 6 6 6 5 6 6 7 7 9 9 8 6 5 5 6 8 12 15 16 13 12 14 17 19 20 19 17 16 14 12 10 10 10 11 13 15 16 19 20 20 21 22 19 15 13 13 15 17 18 18 20 23 27 30 33 35 39 43 47 49 53 56 59
20 25 30 43 63 84 78 30 11 2 1 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 14 17 20 24 28 32 33 30 23 12 11 7 3 1 0 1 3 4 5 6 7 8 8 8 9 9 9 8 8 9 9 10 10 10 9 9 7 6 7 7 7 8 10 10 8 5 7 13 20 23 22 18 13 8 4 3 4 5 6 8 10 12 13 13 12 12 13 16 17 17 16 15 17 18 20 20 22 25 28 29 37 44 48 50 52 50 53 56 60
12 21 35 57 85 98 85 48 15 2 0 0 0 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 13 15 17 19 24 25 23 19 14 5 4 3 2 1 2 3 5 5 6 7 8 8 9 8 7 7 6 6 7 8 10 11 10 9 7 5 4 4 6 5 6 7 6 5 2 0 4 9 12 12 9 5 3 2 1 0 0 0 2 3 5 6 6 6 7 8 8 12 15 16 16 17 21 21 20 21 22 23 24 28 36 43 48 50 51 49 50 54 61
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