Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 12 11 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 10 10 10 10 11 11 10 10 10 9 9 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 10 10 10 9 8 8 8 8 8 7 6 7 8 8 8 8 9 8 7 7 6 6 6 7 7 7 7 8 9 9 8 8 8 8 9 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 6 5 6 7 9 10 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 12 12 11 10 9 10 9 9 8 8 9 8 8 7 6 7 7 8 8 7 nan
nan 13 11 10 9 9 8 8 7 6 6 6 6 7 6 5 5 6 6 6 6 6 7 8 9 9 10 10 10 10 10 11 11 11 10 10 9 9 8 7 6 5 5 6 6 7 7 8 8 8 9 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 7 6 6 6 6 7 7 8 8 8 9 9 9 9 8 9 9 8 8 8 7 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 8 8 9 10 10 8 7 6 7 8 9 10 10 9 9 9 9 10 11 11 10 10 10 11 12 13 12 10 9 10 10 10 9 8 8 8 7 8 8 8 8 7 6 6 7 8 8 7 7 nan
nan 11 9 8 8 8 8 7 7 6 5 5 5 6 6 5 5 6 7 7 7 7 7 8 9 9 9 10 10 10 11 11 11 11 11 10 10 9 8 7 6 5 5 5 6 7 8 9 8 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 6 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 10 10 9 9 10 11 11 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 12 11 8 6 6 6 7 8 8 8 7 7 7 8 8 9 8 7 7 7 8 8 8 7 7 nan
nan 9 8 7 7 7 7 7 6 5 4 4 4 4 4 5 5 6 7 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 8 7 6 5 6 5 6 8 10 9 8 8 8 8 8 8 8 9 9 10 10 11 10 9 8 8 8 7 7 7 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 9 8 8 8 8 9 9 9 9 8 8 9 10 11 10 7 3 2 2 4 7 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 8 nan
nan 7 6 6 6 6 7 8 7 6 5 4 2 1 1 2 4 5 7 8 8 9 9 9 9 9 10 11 11 11 10 10 11 10 10 10 11 10 9 7 6 6 7 7 8 9 10 9 8 8 8 8 8 8 9 10 11 12 12 12 12 10 10 10 9 8 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 8 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 9 9 9 8 8 8 9 10 9 7 2 0 1 3 6 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 nan
nan 6 6 6 6 7 8 9 8 8 8 7 4 2 -0 -1 0 2 5 6 8 8 8 8 9 9 10 11 11 10 9 10 11 11 11 12 12 10 8 6 5 7 8 9 10 10 9 9 8 8 9 10 10 10 11 13 14 14 14 13 12 12 12 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 9 8 8 9 9 9 8 7 7 7 7 8 9 9 9 9 9 8 9 9 9 9 7 3 1 1 3 6 8 8 8 8 8 8 8 8 8 7 6 7 8 9 8 8 8 9 9 9 nan
nan 5 6 7 7 8 9 9 9 9 9 8 7 6 4 1 0 1 4 6 7 7 7 7 8 8 9 11 11 9 8 9 11 13 13 13 12 9 7 6 6 7 9 10 10 9 8 7 8 9 10 11 12 12 13 14 14 14 13 12 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 7 7 7 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 11 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 8 7 7 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 5 3 2 4 6 8 9 8 7 7 6 7 7 8 8 7 7 7 8 8 8 8 9 10 10 9 nan
nan 6 7 8 9 10 9 8 7 8 8 8 8 7 6 5 4 5 6 7 7 7 7 7 7 8 9 10 10 9 8 8 10 13 14 13 11 9 7 5 5 6 9 10 10 8 7 7 9 11 11 11 11 10 10 11 10 10 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 6 6 7 6 6 6 6 7 7 7 7 7 8 7 6 6 7 7 8 9 9 10 9 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 7 7 8 8 8 9 10 10 10 10 10 9 9 8 9 9 9 8 8 8 9 9 9 10 10 9 8 8 8 9 10 10 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 7 5 4 4 6 9 9 9 8 6 5 5 6 7 8 9 8 8 7 7 7 7 8 10 10 10 9 nan
nan 7 9 10 10 10 8 6 6 6 6 7 8 7 7 6 7 7 7 7 7 7 7 7 7 8 9 10 11 10 9 8 9 11 13 13 11 9 7 5 5 6 8 9 8 7 8 9 11 12 11 9 8 7 7 7 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 7 7 6 6 6 7 7 7 6 6 7 7 7 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 9 10 11 10 10 9 8 7 7 7 7 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 9 9 8 9 10 11 12 12 11 9 7 8 8 9 9 8 8 8 8 9 9 9 8 7 5 5 6 8 9 9 8 6 5 5 5 6 6 8 9 9 8 7 7 7 8 9 10 9 8 8 nan
nan 8 8 9 9 8 6 5 5 5 6 7 8 8 8 8 7 7 6 6 7 7 7 8 8 9 9 10 11 10 9 8 8 11 13 13 11 9 6 6 6 7 7 8 7 7 9 11 13 11 9 7 7 7 8 8 7 6 5 4 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 7 7 6 6 6 7 7 6 6 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 8 9 10 10 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 9 9 9 10 9 8 7 6 7 7 8 8 9 10 10 9 9 8 10 11 12 12 12 11 8 8 9 10 10 9 8 9 9 9 9 9 9 7 6 5 5 6 8 9 8 7 5 5 5 6 6 7 8 9 8 8 7 7 7 8 9 8 8 7 8 nan
nan 7 6 6 7 6 6 6 6 7 7 8 9 9 10 10 8 7 5 5 6 6 7 8 9 9 9 10 11 10 9 8 8 10 12 13 11 8 6 6 6 8 8 8 8 9 10 12 12 10 9 8 9 10 11 10 8 6 5 4 3 3 3 3 4 4 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 7 7 8 7 7 7 7 6 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 9 9 9 8 8 8 9 10 11 11 11 9 8 9 10 11 10 8 8 9 10 11 11 10 9 8 6 5 5 6 8 8 8 6 5 5 6 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 8 nan
nan 6 5 6 6 7 8 9 9 9 10 10 10 9 10 10 9 8 7 6 6 6 7 8 8 9 9 10 10 9 8 7 8 10 11 11 10 8 6 6 6 8 8 8 10 11 12 11 10 9 9 9 10 11 11 10 8 5 4 3 3 4 4 4 4 4 5 5 5 6 6 7 7 7 7 6 5 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 9 9 9 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 9 9 9 8 8 8 9 10 9 8 7 8 9 10 11 11 10 9 8 7 5 5 6 7 7 7 6 6 6 7 7 7 7 8 8 8 8 7 7 8 9 8 8 7 7 7 nan
nan 5 5 6 8 9 9 10 10 11 12 11 10 9 9 9 9 9 9 9 7 7 7 8 8 8 9 10 9 8 8 8 9 10 10 10 10 9 7 5 6 7 8 10 12 13 13 12 10 8 8 9 9 9 8 8 6 4 3 3 5 6 7 6 5 5 5 5 6 7 7 7 8 7 7 6 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 10 10 10 9 8 8 9 9 9 8 8 8 7 7 7 7 8 8 9 10 9 9 8 6 6 6 7 8 8 8 9 9 8 7 8 8 8 7 7 8 10 10 10 9 9 9 9 8 7 6 5 5 6 7 7 7 7 6 6 7 7 8 8 9 8 8 8 8 9 9 9 8 8 8 8 nan
nan 5 5 7 8 9 9 10 11 12 12 12 11 9 9 9 10 10 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 8 6 5 6 8 10 12 13 13 12 12 10 9 8 8 8 8 8 7 6 4 4 5 7 8 8 7 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 8 7 8 8 8 9 9 8 8 8 9 10 11 10 9 8 8 8 8 9 9 9 8 8 8 8 9 9 10 9 9 9 8 7 6 7 8 9 9 9 9 9 8 8 8 8 7 7 8 9 10 10 10 9 8 8 9 10 9 8 7 7 7 7 7 7 6 6 6 6 6 7 8 9 8 8 9 9 10 10 9 9 9 9 9 nan
nan 5 5 6 7 8 8 9 10 11 12 12 12 11 10 9 10 11 11 10 10 9 8 8 7 6 5 6 7 7 8 9 9 10 10 10 9 7 6 5 8 10 12 13 13 13 12 11 10 9 8 8 8 8 8 7 6 5 5 6 7 6 6 6 7 7 8 9 9 8 8 8 8 8 7 8 8 8 8 9 10 10 9 8 7 7 6 6 8 9 10 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 9 8 7 7 8 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 8 9 10 10 10 9 9 9 8 8 8 7 7 7 8 8 9 9 9 10 10 11 12 12 11 9 8 7 7 7 7 7 6 6 6 6 7 8 8 8 8 9 10 10 10 9 8 9 9 9 nan
nan 5 5 5 6 7 7 8 9 10 11 12 13 12 11 11 11 11 11 11 12 10 8 8 8 7 7 6 7 7 8 9 10 11 11 10 8 7 7 8 11 13 14 14 13 12 12 11 10 9 8 8 8 9 8 7 7 6 5 5 5 5 5 6 7 8 9 10 9 8 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 8 7 6 7 9 10 10 10 9 9 8 8 7 7 8 8 8 9 8 8 8 9 9 9 8 8 8 9 9 9 9 8 7 7 8 9 10 10 11 11 11 10 9 8 7 7 8 8 9 8 8 8 9 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 9 10 11 12 12 13 13 13 11 9 7 6 7 8 8 7 7 6 6 7 7 8 8 9 9 9 9 8 8 8 8 9 9 nan
nan 5 5 5 6 6 7 7 7 8 9 11 12 13 13 14 12 12 12 13 14 12 9 8 8 9 9 8 8 8 9 10 11 12 12 10 9 9 10 12 13 14 14 13 12 12 12 12 11 9 8 9 9 9 9 8 6 5 4 5 5 6 7 7 8 9 9 9 8 7 6 7 7 7 7 8 8 8 8 8 8 9 10 12 11 9 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 9 9 8 7 6 7 8 9 9 10 10 10 10 9 8 7 8 8 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 9 10 11 12 12 12 12 11 9 8 7 8 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 9 10 nan
nan 6 6 6 6 6 6 6 6 6 7 8 9 11 14 15 13 12 14 15 16 14 11 9 9 10 11 11 11 10 11 12 14 15 14 13 12 12 13 14 14 14 13 12 11 11 11 11 10 8 8 8 9 10 10 8 7 6 7 7 7 8 9 9 9 9 8 8 7 6 7 7 8 8 8 8 9 9 9 9 8 8 9 10 10 8 7 7 6 6 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 8 7 6 7 8 8 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 7 9 10 11 11 11 11 10 10 10 9 9 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 nan
nan 7 6 6 6 7 7 7 6 5 5 5 7 9 13 15 14 14 15 17 18 18 15 13 12 12 13 14 13 13 14 16 17 18 17 15 14 14 14 13 13 12 12 12 12 12 11 10 9 8 7 8 10 10 10 10 10 10 10 10 11 11 11 9 9 8 7 7 6 7 8 9 9 9 9 9 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 9 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 10 9 8 7 7 7 7 8 8 8 8 9 10 9 9 8 8 7 7 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 6 6 7 8 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 nan
nan 7 7 7 7 8 8 8 6 5 4 4 6 9 12 14 16 16 16 17 19 19 18 17 16 16 15 15 15 15 16 16 17 17 16 15 13 13 12 11 11 11 12 12 12 12 12 11 10 9 10 10 11 11 11 12 13 13 14 14 14 13 12 10 9 9 8 7 8 9 9 10 9 9 10 10 10 10 9 9 8 7 7 6 6 6 6 6 6 7 6 6 7 7 7 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 7 7 7 7 8 8 7 7 8 8 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 nan
nan 8 8 8 8 9 9 9 7 5 4 5 7 10 12 14 15 15 14 15 16 16 17 16 16 15 14 13 13 14 14 14 14 13 12 12 11 11 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 12 12 13 14 15 16 16 15 13 11 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 8 8 8 9 9 8 8 8 8 9 9 10 10 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 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 8 8 9 9 9 9 9 9 8 7 7 8 8 8 9 9 8 8 8 7 6 6 6 6 nan
nan 8 8 9 9 10 10 10 8 6 5 6 8 10 11 12 11 10 10 10 12 13 13 13 12 11 10 10 11 12 12 12 11 11 10 10 10 10 9 9 10 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 14 15 15 15 13 11 9 8 8 9 9 10 10 10 10 10 9 8 9 9 9 8 7 7 7 8 8 8 8 8 8 7 8 8 8 7 7 6 6 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 7 6 6 7 7 7 7 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 8 8 9 10 9 8 8 7 7 6 7 7 7 nan
nan 8 8 9 9 10 10 10 8 6 6 7 9 10 10 9 7 5 6 7 8 9 10 9 9 9 8 9 10 10 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 9 10 10 12 13 14 15 14 13 12 11 10 9 9 9 9 10 9 9 10 10 10 9 9 9 10 9 8 8 7 8 8 9 9 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 9 8 7 7 7 8 8 8 8 7 7 8 9 9 9 9 8 8 6 5 5 6 6 7 7 8 8 7 7 7 6 7 7 8 8 9 8 8 7 7 6 6 6 6 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 8 8 8 8 7 7 7 7 8 9 9 8 7 7 7 7 7 8 8 9 nan
nan 8 8 9 9 9 9 8 7 6 6 7 8 9 8 7 5 4 4 5 7 7 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 10 10 11 13 14 14 13 12 11 10 9 9 9 9 9 9 8 8 8 9 9 9 9 11 11 9 8 7 7 8 9 8 8 8 7 7 7 8 8 8 8 8 8 7 6 6 7 8 9 8 8 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 9 9 10 nan
nan 7 8 8 8 8 8 7 6 6 7 7 8 7 7 6 5 4 4 5 6 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 9 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 12 11 11 10 10 9 8 7 7 7 7 8 8 8 8 8 9 8 9 10 9 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 10 10 nan
nan 7 7 8 8 8 8 7 7 6 7 8 8 7 7 6 6 5 5 6 6 6 7 7 7 7 8 8 9 9 10 10 10 11 11 10 9 8 8 8 8 9 9 10 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 6 6 6 6 8 9 9 8 8 8 8 8 8 8 8 7 6 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 8 8 8 8 9 10 10 nan
nan 7 8 9 10 9 9 8 7 8 9 9 9 9 8 7 6 6 6 7 7 6 7 7 7 7 8 8 9 10 10 10 11 11 11 10 9 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 7 7 7 7 7 8 8 8 7 6 7 8 9 9 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 10 11 11 11 9 8 7 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 nan
nan 8 9 10 10 10 9 9 9 10 10 11 11 10 9 8 7 7 7 7 7 6 6 6 6 7 8 9 10 10 11 11 11 11 11 11 10 9 8 8 8 9 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 9 8 8 8 8 8 8 8 7 6 7 7 7 7 7 8 8 9 9 9 8 8 7 7 8 8 8 8 8 9 9 10 11 12 12 12 10 8 7 7 8 9 9 9 8 7 6 6 7 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 nan
nan 9 10 10 10 10 9 9 10 10 11 11 11 10 9 9 9 8 7 7 7 6 6 6 6 7 8 9 10 11 11 12 12 12 12 11 10 9 8 8 8 9 10 10 11 10 10 9 8 8 8 8 8 8 8 7 8 7 7 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 8 9 10 10 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 7 8 8 8 9 9 9 10 10 11 12 12 12 11 9 8 8 8 9 9 9 9 8 6 6 7 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 6 7 7 8 8 7 7 7 7 7 8 8 8 8 nan
nan 10 10 10 10 9 9 8 9 10 11 11 10 10 9 9 9 8 7 6 6 6 6 7 7 8 8 10 10 11 11 11 11 12 12 11 11 10 9 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 11 12 13 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 8 8 7 7 7 7 7 7 7 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 8 9 9 9 9 9 9 10 11 11 12 11 10 9 9 9 10 9 8 8 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 8 8 7 7 7 7 8 8 8 6 5 5 5 5 6 7 7 7 nan
nan 9 10 10 10 9 9 8 9 10 11 11 10 10 10 9 8 7 7 6 6 6 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 9 9 8 9 9 9 9 8 8 9 10 10 10 10 10 10 11 12 13 14 14 14 14 14 13 13 12 12 11 10 10 9 8 9 9 9 9 8 8 8 7 7 6 6 7 7 7 7 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 10 9 9 9 9 11 11 10 8 8 8 10 10 9 9 9 8 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 6 5 4 4 4 5 6 6 6 nan
nan 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 11 10 10 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 13 13 13 12 11 10 11 12 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 12 14 14 14 14 13 13 12 12 11 10 9 9 8 8 9 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 11 10 9 8 7 8 10 10 9 8 7 8 9 10 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 7 6 5 5 5 5 5 6 6 6 nan
nan 9 9 9 8 8 8 9 9 10 11 11 11 10 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 10 11 12 13 14 13 13 12 13 15 15 14 12 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 12 12 12 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 8 7 6 7 9 10 10 9 8 7 8 9 10 9 9 8 8 9 9 9 10 10 10 10 9 8 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 9 8 7 9 11 13 13 12 12 12 14 15 16 15 13 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 7 6 6 8 9 9 9 8 8 9 10 10 10 9 9 8 9 9 10 10 11 12 11 10 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 7 7 nan
nan 7 7 7 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 10 9 10 10 11 11 11 10 9 7 6 6 8 10 11 10 9 9 11 12 14 14 14 14 13 12 11 10 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 9 9 9 7 6 7 9 9 9 8 8 9 10 10 10 10 10 9 9 8 8 9 10 11 12 11 11 10 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 9 8 8 8 nan
nan 7 7 7 8 8 8 8 8 8 8 9 10 10 9 9 9 9 8 7 7 7 7 8 8 9 9 10 10 10 11 11 12 11 10 9 9 9 11 11 11 10 9 9 9 10 10 10 9 8 6 5 5 6 7 8 8 7 7 8 10 11 12 12 13 13 13 12 12 11 10 8 7 6 7 8 9 10 10 10 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 9 8 7 7 6 6 6 6 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 7 9 10 9 8 7 8 9 10 10 9 9 9 9 9 8 7 7 8 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 nan
nan 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 7 7 8 8 8 8 9 10 11 12 12 12 13 13 12 10 9 9 10 11 12 11 10 8 8 7 7 7 7 6 4 4 4 5 6 7 6 5 5 6 8 10 11 11 11 11 11 11 10 10 10 9 8 7 7 7 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 9 9 7 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 10 10 9 8 7 8 9 9 9 8 8 7 7 8 8 7 7 7 8 8 8 8 9 10 9 8 7 6 7 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 8 9 9 10 11 11 10 10 10 10 10 9 9 nan
nan 7 7 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 12 12 12 12 12 13 12 11 9 9 9 10 12 11 10 9 8 7 6 6 6 6 5 4 3 4 6 7 7 7 6 6 7 9 10 11 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 8 7 6 7 7 8 8 8 9 10 11 11 11 11 10 9 8 6 5 5 5 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 9 11 11 9 8 8 9 9 9 8 7 6 6 6 7 8 8 8 8 7 7 7 8 9 10 9 8 7 6 7 7 8 8 8 8 8 8 9 9 10 11 10 10 10 9 9 8 8 8 9 10 10 11 11 10 10 10 10 10 9 nan
nan 7 7 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 8 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 8 9 10 11 11 9 8 8 8 7 5 6 6 6 5 4 4 4 5 6 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 10 9 8 7 8 8 9 9 9 9 10 10 10 10 10 9 8 6 5 5 5 6 7 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 9 10 10 9 9 10 11 10 9 8 7 6 6 7 7 8 9 10 9 8 7 7 8 10 10 9 8 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 9 9 7 6 6 6 6 4 4 5 6 6 5 5 5 5 5 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 9 8 8 9 9 9 9 9 9 9 8 8 7 7 6 5 5 6 7 8 8 9 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 8 9 9 9 10 11 12 11 10 9 8 8 8 8 8 8 10 10 9 8 7 8 9 10 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 8 8 8 9 10 11 10 10 10 10 10 10 11 11 11 10 nan
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nan 11 11 12 12 12 12 12 11 11 10 8 5 2 1 0 2 4 6 8 10 11 10 9 7 7 7 7 7 7 7 8 9 9 9 9 10 11 13 14 14 13 13 13 14 16 18 18 18 18 18 18 18 17 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 11 12 13 15 17 19 20 19 16 12 9 7 6 5 6 6 7 8 8 8 9 10 11 12 12 11 11 11 10 9 8 8 8 9 9 9 8 8 8 8 8 7 6 6 7 8 9 11 11 12 12 12 13 14 14 13 11 10 10 10 10 10 11 12 12 11 11 10 9 9 9 10 10 11 11 12 13 nan
nan 12 12 12 12 12 12 11 10 9 7 5 2 1 1 2 3 5 7 9 11 11 10 8 7 7 7 7 7 7 7 8 9 9 10 11 12 14 16 18 17 15 14 13 13 14 15 14 13 12 13 16 16 15 13 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 13 13 12 12 11 10 10 9 9 10 11 11 12 13 15 17 18 19 19 17 14 10 7 6 5 5 6 7 8 8 8 9 10 13 13 13 12 11 9 8 8 8 9 9 8 8 7 8 9 10 11 10 8 7 8 9 11 11 11 12 12 13 14 14 13 11 10 9 9 9 10 10 11 12 13 12 11 10 9 9 9 9 10 10 11 12 12 12 nan
nan 12 12 12 11 11 11 10 9 7 5 3 2 2 2 3 5 7 9 11 13 12 10 9 8 8 7 7 7 7 8 8 9 10 11 13 14 15 16 17 16 15 13 11 10 10 10 10 9 8 10 12 13 12 11 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 10 10 11 11 12 13 14 15 16 17 17 17 14 11 9 7 5 5 5 7 8 8 8 9 11 14 13 12 11 9 7 7 8 10 11 10 10 9 9 11 12 13 12 10 8 10 12 14 14 14 12 12 12 12 13 12 10 8 7 7 8 9 10 11 12 13 13 12 11 10 9 9 9 10 10 11 11 12 12 12 nan
nan 12 12 12 11 11 10 9 7 6 4 3 2 3 4 5 7 10 12 14 14 13 11 10 9 9 8 8 8 8 9 10 11 12 13 14 14 14 14 13 13 12 11 9 8 7 7 8 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 12 13 14 13 13 14 15 15 14 12 10 8 6 5 5 6 7 8 8 10 12 13 12 11 9 7 7 8 10 11 12 12 11 11 11 13 13 12 10 9 9 11 14 16 16 14 13 12 12 11 10 8 6 5 6 7 9 10 12 12 13 13 12 11 10 10 9 9 9 10 10 11 11 11 12 11 nan
nan 13 13 13 12 11 9 8 6 5 3 3 3 5 7 9 11 13 15 16 15 14 12 12 12 11 10 10 10 10 11 12 13 14 14 14 13 12 11 10 10 10 10 9 8 7 7 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 14 15 15 14 12 10 8 6 5 5 6 7 8 10 12 13 11 10 8 8 8 9 10 11 12 12 11 11 12 12 12 11 9 9 11 12 14 15 16 15 15 14 14 12 10 7 6 5 6 8 10 12 13 13 13 12 11 11 11 10 10 9 9 9 10 10 11 11 11 11 nan
nan 14 14 13 12 11 9 7 5 4 3 4 5 7 9 11 13 14 15 15 14 14 14 14 15 15 14 13 13 14 15 15 15 15 14 13 12 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 11 11 11 11 12 11 11 11 11 11 10 10 11 11 11 11 12 11 11 10 10 10 10 11 10 10 10 11 11 11 11 11 12 13 14 15 15 15 12 9 7 5 5 6 7 9 11 12 12 10 9 9 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 12 13 14 15 16 16 16 17 16 13 10 8 6 6 7 9 11 13 14 13 12 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 nan
nan 13 13 12 10 9 7 5 4 4 4 5 6 8 9 10 11 12 12 12 12 13 14 15 17 18 18 18 17 17 17 17 15 14 13 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 10 10 10 9 10 12 13 15 16 15 13 10 7 5 4 4 6 8 10 12 11 10 9 9 10 10 10 11 12 13 13 12 11 11 10 10 10 10 11 13 14 15 15 14 14 14 14 14 11 9 6 5 6 8 10 12 14 15 15 14 12 12 12 13 12 10 9 9 9 8 8 8 8 8 9 nan
nan 11 11 9 8 7 6 5 5 6 7 7 8 8 8 9 9 10 10 10 11 12 13 14 16 17 18 18 18 17 16 14 12 11 10 10 10 11 11 10 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 8 7 7 7 7 7 7 8 8 8 8 8 8 9 11 12 13 14 15 13 11 8 5 3 2 4 6 9 11 11 9 9 9 10 11 11 12 13 13 12 11 11 10 10 10 10 11 12 14 14 14 13 11 10 10 9 9 8 6 5 5 7 9 11 13 14 16 16 16 16 15 14 13 13 11 10 9 8 7 6 5 5 6 9 nan
nan 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 13 14 14 14 14 13 12 10 9 8 8 9 9 10 9 9 8 8 8 9 10 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 9 8 8 7 6 7 7 7 7 8 7 6 7 8 9 10 11 11 12 13 12 10 7 3 1 1 2 4 8 11 11 10 10 10 11 12 13 13 12 11 10 10 10 10 10 11 11 11 12 12 12 12 11 9 8 8 7 6 6 6 6 7 8 10 11 13 14 16 17 18 19 18 16 15 14 12 10 8 6 5 4 3 4 8 12 nan
nan 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 8 8 7 7 7 7 8 9 9 8 8 8 8 8 9 10 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 10 10 10 11 12 12 11 11 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 7 6 6 7 9 10 11 11 11 10 9 8 5 2 1 2 3 4 7 10 11 12 11 11 12 13 13 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 7 6 5 6 6 7 8 9 10 11 13 14 15 17 20 22 21 20 18 15 12 9 6 5 4 4 6 9 14 16 nan
nan 10 10 10 10 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 12 12 12 11 9 8 8 9 9 10 10 10 11 12 12 11 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 8 10 10 10 9 9 8 7 4 2 2 3 4 4 6 9 11 12 11 10 11 11 10 9 10 10 10 9 9 10 10 11 11 11 11 11 10 10 9 8 8 6 5 5 6 7 8 9 10 11 12 12 13 14 16 20 24 24 23 19 14 10 7 5 5 6 8 12 17 20 20 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 10 10 11 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 10 11 12 12 11 10 9 9 8 9 9 10 10 11 12 12 11 11 12 12 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 4 3 4 5 5 4 5 7 9 10 9 9 9 8 8 10 11 11 10 9 9 10 11 11 10 11 11 10 9 9 8 8 8 6 5 5 6 7 8 9 11 11 12 12 12 13 15 21 24 25 23 16 10 7 5 6 8 12 16 20 22 22 20 nan
nan 8 9 9 9 10 9 9 9 9 8 8 8 7 6 6 7 8 9 10 10 9 9 9 9 8 8 8 9 10 11 13 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 11 12 11 10 10 9 9 9 9 9 10 11 11 11 11 12 12 12 11 10 9 9 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 7 6 7 8 9 7 5 4 4 5 4 3 4 5 7 8 9 8 7 7 9 13 14 13 11 11 11 12 12 11 11 10 10 9 8 9 9 10 8 6 4 4 5 7 8 10 11 12 12 11 11 11 14 19 22 23 19 11 7 5 5 9 13 17 21 24 26 25 22 nan
nan 7 7 8 8 8 8 8 7 7 6 6 6 5 5 6 7 8 9 10 9 9 8 8 8 7 7 7 8 9 10 12 14 16 17 17 15 13 11 10 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 11 11 11 10 10 9 9 9 10 10 11 10 10 11 12 12 11 11 10 9 9 8 8 7 7 7 7 8 8 9 10 11 11 10 9 9 9 9 9 9 9 8 7 6 7 8 8 7 5 4 4 4 4 3 4 5 7 9 10 9 9 10 13 16 15 14 13 13 13 13 13 12 11 10 9 8 8 8 9 8 6 3 2 3 5 8 9 11 12 12 12 11 10 10 12 15 16 15 10 6 4 5 7 11 14 18 22 27 29 28 23 nan
nan 7 6 6 6 6 6 6 6 6 5 5 4 4 5 6 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 10 13 16 17 16 14 11 9 9 9 10 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 11 11 10 9 9 8 8 8 7 7 7 7 8 8 9 10 10 11 10 10 9 9 10 10 10 10 9 8 8 7 7 7 5 4 3 4 4 4 5 6 8 9 10 10 10 11 13 16 16 15 13 13 13 13 13 12 11 10 10 8 7 6 6 5 3 1 -0 1 3 7 9 11 12 12 12 12 12 11 10 11 11 10 6 3 2 3 5 8 10 12 15 20 25 26 24 20 nan
nan 7 6 6 6 6 6 6 6 5 5 4 4 4 6 7 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 12 13 14 13 12 10 9 9 10 12 13 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 10 10 11 10 10 10 11 12 12 12 11 10 9 9 8 8 8 7 7 7 7 7 7 8 10 11 11 11 10 10 10 10 10 9 9 10 9 9 8 6 5 3 3 5 6 6 7 8 10 10 10 9 10 11 12 15 15 14 13 13 13 13 13 12 11 10 9 8 6 4 2 2 1 0 0 1 4 7 10 11 12 13 13 13 14 14 14 13 11 9 6 3 2 3 4 5 7 8 11 14 18 21 20 18 14 nan
nan 6 6 6 6 7 6 6 5 4 3 4 5 6 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 10 11 12 12 11 10 10 11 13 14 15 14 13 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 10 9 9 9 10 11 11 11 11 10 10 9 9 10 10 10 10 10 9 10 11 11 12 12 12 11 10 9 9 9 8 8 7 7 6 7 7 9 10 10 10 10 11 11 10 10 10 9 9 10 10 9 8 6 4 3 4 7 9 10 10 11 11 11 10 9 10 11 13 14 13 12 13 14 14 14 13 12 10 8 6 4 2 -0 -1 -0 1 3 6 8 10 11 12 13 14 15 14 15 16 18 18 17 14 11 8 6 6 6 6 7 8 10 13 16 18 17 16 13 11 nan
nan 6 6 7 7 7 6 4 3 3 4 5 7 8 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 9 10 11 12 12 11 11 12 13 15 16 16 15 13 12 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 8 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 6 4 4 6 8 10 11 12 13 12 10 9 10 11 12 13 12 11 10 12 14 15 15 13 10 6 3 1 -0 -1 -1 1 3 7 11 13 14 14 13 14 16 17 17 17 18 19 19 19 18 16 13 11 9 8 8 9 10 12 14 16 17 16 15 12 10 9 nan
nan 7 7 7 7 6 4 3 3 4 5 7 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 11 12 13 13 12 12 13 14 15 16 15 14 13 12 12 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 10 8 8 7 7 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 8 7 6 6 8 9 11 13 13 12 11 9 10 12 13 14 13 12 10 9 11 13 14 14 12 7 2 1 0 2 3 5 8 12 16 18 18 17 16 17 19 20 20 19 19 18 18 17 15 14 12 11 9 9 9 11 13 14 16 17 17 16 14 12 10 9 9 nan
nan 7 7 6 5 4 3 3 4 6 7 8 9 8 8 9 10 11 11 11 11 11 12 12 12 12 12 12 10 9 9 10 12 14 14 14 13 13 13 14 14 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 10 9 9 12 15 16 16 14 12 11 11 13 15 16 16 12 7 5 5 7 10 13 15 17 20 22 22 20 18 18 19 20 20 19 17 16 14 13 11 10 9 8 7 6 8 10 13 15 17 18 17 15 13 11 10 9 9 9 nan
nan 7 6 5 4 4 4 5 6 7 8 9 9 9 8 9 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 12 14 15 15 14 13 13 13 13 13 13 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 9 11 15 18 18 16 14 13 14 16 18 20 21 20 16 12 12 13 16 18 20 21 22 23 21 19 16 14 14 15 15 14 13 12 11 9 8 8 8 8 9 9 9 10 12 14 16 17 17 16 13 11 10 9 9 9 9 nan
nan 5 5 4 4 5 6 7 7 8 8 9 9 9 9 10 10 10 10 10 11 12 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 12 12 12 13 13 14 14 14 14 13 12 11 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 6 7 9 9 9 9 10 10 10 10 10 10 9 9 8 9 10 10 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 13 15 16 16 15 14 14 16 18 20 20 20 19 16 16 16 17 18 19 20 21 20 18 14 11 9 10 11 12 13 12 11 10 10 9 9 11 12 12 13 13 13 13 14 14 15 15 15 13 12 11 10 10 10 10 9 nan
nan 5 5 6 6 7 7 7 7 8 8 8 9 9 10 10 9 9 9 10 11 13 15 16 16 17 17 17 17 17 16 15 14 13 12 12 11 11 12 12 13 13 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 8 9 9 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 7 9 9 10 10 10 10 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 12 13 13 14 13 12 12 13 15 16 16 15 15 13 13 13 14 14 15 16 16 16 14 12 11 10 10 13 15 16 17 17 16 15 14 14 15 16 17 16 14 14 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 nan
nan 6 6 7 8 8 8 8 7 8 8 8 9 10 10 9 9 8 9 11 13 15 17 18 19 19 19 18 17 16 14 13 12 11 10 10 10 10 11 12 13 13 13 13 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 10 12 12 12 11 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 12 12 13 15 17 18 19 20 20 19 19 18 17 17 18 17 17 15 14 13 13 12 12 11 11 11 10 10 10 10 10 10 11 10 9 nan
nan 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 8 10 13 15 16 18 19 19 18 17 15 14 12 12 11 10 9 9 9 9 10 11 12 13 13 13 12 12 11 11 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 11 12 12 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 11 10 10 9 9 9 8 7 7 6 7 8 9 10 11 12 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 9 11 13 13 13 13 13 14 15 17 18 18 18 18 17 16 16 15 15 16 15 15 15 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 7 10 13 15 16 17 17 17 16 15 13 11 11 11 10 10 9 9 9 9 10 11 12 12 13 13 13 12 11 11 11 11 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 10 11 11 11 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 6 5 4 3 3 5 7 8 9 10 11 11 12 11 11 11 10 10 10 9 8 6 5 5 7 10 13 15 15 14 13 13 14 14 15 15 15 15 14 13 13 12 12 12 12 13 13 13 14 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 nan
nan 8 9 9 9 9 9 9 8 8 8 8 7 7 6 6 9 13 16 17 17 17 16 14 13 11 10 10 10 10 10 10 10 9 9 10 10 11 12 13 13 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 9 9 8 7 8 9 11 12 13 12 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 5 3 2 1 2 4 6 7 7 7 8 8 9 10 9 8 8 7 8 8 7 6 2 2 4 8 13 16 16 15 14 13 13 13 13 14 14 14 13 12 12 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 8 9 9 9 9 9 9 9 9 8 7 6 5 6 9 13 16 18 18 17 15 14 12 11 10 9 9 9 10 10 10 10 10 10 11 11 12 12 13 13 14 14 13 13 12 11 11 11 11 11 11 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 8 8 8 9 10 11 12 13 13 13 12 11 9 8 8 9 11 12 13 12 12 12 12 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 4 2 0 -0 1 4 8 10 11 10 9 8 8 7 6 5 4 3 4 5 5 4 1 -0 2 7 13 18 18 15 13 12 12 12 13 14 14 14 13 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 nan
nan 8 8 9 9 9 9 9 9 8 7 6 5 5 8 12 16 18 19 18 16 13 12 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 14 14 14 13 13 12 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 9 7 6 7 7 8 9 12 14 16 17 17 16 14 12 11 10 10 10 10 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 5 4 2 1 -1 -1 1 4 8 11 12 13 15 15 13 12 11 8 6 5 5 6 6 4 2 -1 1 7 14 21 22 18 14 11 11 11 12 13 13 14 14 13 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 8 8 8 8 8 8 8 8 6 5 4 5 9 13 16 18 18 17 15 13 12 11 10 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 14 14 14 13 13 13 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 10 10 11 12 11 9 7 6 5 5 6 7 9 11 13 15 17 18 17 17 16 14 11 9 6 5 6 7 7 8 8 8 8 9 9 8 9 9 9 8 8 8 9 8 7 6 4 2 1 1 0 1 2 5 8 10 11 12 14 16 17 17 16 15 13 12 12 12 12 11 8 5 4 9 15 21 25 22 17 13 11 10 11 12 13 13 13 13 13 13 12 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 nan
nan 8 8 8 8 8 7 7 7 6 6 7 10 14 17 19 19 17 15 13 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 14 14 13 13 13 13 12 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 10 9 7 6 5 5 5 6 7 7 8 10 13 16 17 18 15 12 9 6 4 4 4 5 6 6 7 8 8 9 9 8 8 8 7 7 8 9 9 9 8 7 6 5 5 5 6 7 8 9 10 11 12 14 15 16 17 17 17 16 16 16 16 15 13 12 10 11 15 20 23 22 18 14 11 10 11 11 12 12 12 13 13 14 14 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1983 2136 2231 2260 2239 2208 2189 2187 2206 2237 2256 2256 2259 2268 2294 2340 2389 2414 2429 2463 2512 2568 2626 2683 2739 2792 2842 2895 2935 2965 2981 2978 2958 2918 2870 2838 2827 2835 2847 2853 2857 2861 2863 2857 2846 2831 2812 2784 2756 2735 2719 2707 2687 2645 2584 2561 2546 2532 2520 2498 2445 2338 2144 1901 1664 1425 1177 925 693 508 378 300 253 221 200 186 173 157 140 129 118 114 116 114 106 94 78 61 42 24 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 1 0 0 0
2076 2213 2286 2305 2273 2244 2224 2228 2254 2284 2299 2298 2300 2306 2327 2361 2397 2426 2445 2486 2541 2595 2645 2697 2756 2821 2885 2938 2970 2983 2975 2948 2908 2859 2819 2803 2806 2819 2833 2840 2854 2867 2882 2891 2891 2886 2873 2845 2815 2778 2747 2724 2690 2637 2584 2540 2496 2463 2431 2373 2274 2127 1914 1663 1411 1155 892 640 432 302 229 178 151 133 119 108 100 91 67 56 51 53 58 60 59 55 45 34 20 8 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
2251 2329 2355 2349 2315 2293 2282 2291 2318 2346 2357 2355 2353 2347 2360 2389 2423 2453 2479 2521 2577 2628 2674 2727 2796 2875 2949 2999 3019 3011 2980 2929 2868 2810 2782 2784 2799 2819 2836 2851 2876 2895 2915 2936 2946 2941 2926 2901 2843 2794 2750 2707 2654 2589 2527 2466 2404 2359 2308 2221 2081 1890 1644 1383 1132 889 649 431 270 188 146 113 93 78 65 55 53 57 28 15 14 17 19 20 21 18 12 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
2420 2437 2427 2399 2369 2361 2368 2379 2401 2419 2423 2420 2405 2396 2407 2431 2461 2489 2517 2555 2607 2652 2696 2759 2851 2953 3036 3081 3086 3059 3008 2939 2861 2794 2775 2789 2813 2842 2867 2888 2918 2946 2972 3000 2999 2974 2950 2921 2832 2774 2721 2663 2589 2499 2402 2311 2257 2206 2131 2011 1834 1603 1332 1068 823 610 424 270 166 117 88 67 52 39 27 19 19 24 11 4 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2541 2530 2503 2471 2451 2458 2475 2480 2491 2496 2488 2484 2472 2468 2478 2495 2510 2524 2544 2574 2623 2662 2712 2795 2912 3038 3139 3184 3175 3128 3059 2977 2889 2821 2809 2829 2860 2894 2923 2948 2973 3006 3032 3054 3043 3015 2978 2904 2823 2758 2694 2620 2524 2406 2281 2178 2122 2048 1928 1756 1538 1286 1013 761 527 351 226 140 89 63 45 33 22 14 7 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2613 2608 2582 2554 2544 2559 2572 2562 2566 2570 2564 2557 2558 2581 2588 2568 2547 2547 2567 2587 2614 2645 2705 2812 2959 3117 3245 3299 3280 3212 3126 3035 2948 2890 2873 2899 2932 2959 2984 3006 3021 3044 3067 3081 3078 3055 3006 2924 2832 2751 2667 2575 2461 2331 2217 2111 1992 1838 1636 1405 1168 931 674 465 296 181 108 63 37 24 17 11 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
2665 2690 2681 2662 2655 2662 2659 2650 2655 2654 2641 2630 2632 2646 2641 2608 2582 2582 2598 2595 2603 2639 2721 2852 3019 3193 3338 3405 3384 3305 3203 3101 3016 2969 2953 2984 3019 3038 3053 3066 3062 3086 3098 3100 3090 3059 3000 2911 2811 2709 2610 2519 2407 2269 2134 1971 1742 1474 1193 933 712 516 323 212 138 86 49 25 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2731 2784 2795 2786 2778 2774 2768 2761 2761 2745 2714 2681 2645 2587 2514 2486 2502 2547 2585 2580 2595 2640 2729 2865 3041 3232 3399 3492 3478 3400 3293 3186 3100 3055 3058 3098 3136 3149 3147 3139 3118 3137 3136 3125 3091 3028 2941 2845 2743 2633 2531 2432 2285 2072 1828 1557 1253 971 723 506 330 213 121 83 56 35 19 9 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
2817 2877 2895 2891 2882 2874 2866 2855 2847 2827 2787 2729 2660 2596 2543 2513 2506 2512 2526 2548 2586 2651 2755 2903 3085 3281 3457 3559 3540 3457 3346 3239 3166 3147 3180 3232 3260 3260 3240 3213 3186 3173 3161 3126 3057 2959 2845 2735 2633 2538 2385 2181 1908 1574 1236 923 665 491 360 235 128 80 47 32 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2916 2966 2978 2965 2945 2929 2916 2910 2896 2874 2837 2779 2707 2651 2625 2591 2556 2534 2535 2560 2607 2677 2777 2920 3096 3286 3461 3562 3561 3504 3427 3347 3279 3252 3308 3351 3349 3332 3300 3257 3220 3187 3144 3075 2977 2865 2751 2638 2542 2381 2100 1751 1374 1007 689 435 292 210 151 98 56 36 22 14 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 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
3001 3034 3034 3014 2988 2964 2946 2926 2904 2881 2852 2810 2759 2715 2686 2652 2617 2588 2573 2576 2596 2645 2733 2858 3027 3226 3411 3528 3552 3524 3472 3413 3368 3362 3422 3433 3410 3378 3332 3273 3217 3158 3086 2997 2892 2786 2690 2587 2419 2095 1708 1314 951 644 409 241 170 120 83 57 40 29 20 15 11 7 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 4 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 0 0 0 0 0 0
3042 3056 3047 3022 2989 2956 2924 2893 2876 2862 2842 2813 2781 2753 2725 2690 2650 2614 2588 2577 2586 2634 2722 2866 3047 3228 3378 3492 3545 3540 3498 3453 3435 3453 3494 3485 3451 3402 3336 3258 3178 3103 3021 2934 2848 2762 2649 2463 2157 1748 1346 992 705 480 303 195 136 100 77 61 50 42 34 27 20 13 8 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 10 10 7 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
3059 3043 3025 2998 2961 2919 2879 2853 2848 2839 2828 2814 2798 2778 2754 2718 2683 2652 2625 2607 2602 2630 2714 2833 2983 3150 3313 3446 3513 3520 3493 3469 3483 3533 3549 3517 3464 3401 3329 3246 3153 3064 2975 2908 2847 2748 2562 2258 1856 1435 1068 773 548 374 235 160 118 93 79 70 63 58 49 42 33 23 14 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 4 4 5 6 6 10 5 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
3097 3038 3009 2981 2946 2907 2876 2864 2850 2840 2832 2825 2815 2798 2779 2751 2715 2677 2647 2627 2625 2659 2722 2819 2944 3097 3262 3403 3472 3491 3481 3491 3530 3569 3568 3520 3448 3369 3288 3195 3089 3012 2974 2930 2837 2660 2381 2010 1580 1180 855 612 427 284 189 138 110 92 79 71 68 64 54 48 40 29 19 10 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 1 3 5 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 14 41 40 20 8 4 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
3151 3061 3015 2987 2955 2924 2907 2910 2887 2868 2855 2845 2832 2812 2790 2768 2736 2695 2663 2656 2678 2730 2783 2866 2981 3118 3260 3389 3449 3474 3478 3497 3540 3579 3570 3508 3426 3341 3254 3164 3085 3058 3039 2954 2780 2507 2146 1732 1337 982 699 497 352 246 181 139 108 89 75 67 63 58 51 44 38 30 21 12 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 5 11 13 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 21 32 19 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3190 3096 3028 3002 2973 2949 2937 2924 2912 2887 2874 2865 2850 2824 2797 2783 2758 2726 2694 2691 2737 2802 2834 2876 2954 3066 3211 3370 3426 3459 3494 3525 3550 3566 3558 3505 3418 3316 3216 3144 3116 3124 3057 2888 2626 2281 1884 1481 1141 844 610 442 323 238 180 141 111 90 75 68 65 62 54 46 37 28 20 12 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 5 10 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3187 3113 3029 3009 2983 2956 2934 2912 2904 2885 2880 2878 2864 2839 2814 2788 2750 2704 2682 2705 2764 2808 2822 2847 2912 3021 3167 3326 3391 3424 3463 3512 3564 3596 3576 3500 3399 3291 3208 3177 3184 3154 2989 2716 2379 2014 1653 1318 1024 774 574 422 310 230 176 142 109 93 86 83 79 75 66 53 38 24 15 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 1 2 3 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
3153 3099 3004 2995 2970 2941 2917 2894 2877 2866 2864 2867 2865 2858 2846 2807 2753 2686 2690 2746 2796 2822 2843 2884 2934 3013 3122 3241 3330 3384 3441 3503 3546 3549 3506 3436 3345 3263 3207 3172 3125 3011 2768 2439 2090 1758 1458 1186 935 723 544 399 291 218 173 149 131 116 106 100 92 83 71 53 33 17 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 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
3107 3042 2923 2908 2882 2858 2836 2814 2791 2776 2770 2778 2795 2817 2833 2812 2770 2745 2744 2765 2798 2830 2856 2899 2968 3064 3161 3236 3301 3353 3407 3468 3515 3514 3437 3306 3224 3154 3090 3013 2894 2698 2418 2105 1810 1538 1287 1052 835 652 497 370 281 226 193 179 154 132 115 102 89 77 60 40 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3045 2955 2823 2778 2732 2693 2663 2639 2619 2605 2598 2605 2623 2654 2689 2709 2696 2670 2650 2650 2676 2727 2774 2823 2909 3007 3070 3074 3056 3040 2997 3001 2975 2916 2859 2709 2597 2475 2364 2266 2172 2069 1959 1732 1508 1300 1108 931 761 601 463 348 273 230 186 167 140 115 98 85 71 58 42 28 14 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2991 2867 2732 2654 2586 2533 2495 2467 2448 2441 2433 2424 2421 2427 2446 2479 2501 2455 2367 2291 2276 2335 2405 2480 2552 2552 2466 2325 2187 2087 1907 1781 1693 1642 1621 1555 1471 1415 1370 1323 1301 1333 1219 1173 1062 921 787 679 591 463 381 283 212 176 134 113 97 82 70 60 49 40 26 14 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 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
2900 2742 2599 2495 2422 2369 2333 2322 2330 2326 2317 2289 2262 2241 2224 2205 2151 2012 1821 1659 1585 1602 1624 1633 1608 1523 1378 1198 1034 939 815 728 664 622 611 629 659 686 700 716 729 706 679 654 604 529 449 384 339 249 214 165 123 99 79 68 66 60 53 42 30 23 15 8 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 1 5 8 9 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
2723 2553 2419 2323 2266 2239 2228 2237 2254 2241 2229 2194 2158 2119 2061 1961 1788 1520 1245 1045 935 886 834 766 681 591 500 408 320 259 222 199 180 169 176 211 250 276 297 325 354 367 378 369 337 292 244 200 162 122 103 81 62 51 43 39 42 40 34 25 18 13 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 1 6 10 12 9 3 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
2508 2358 2250 2184 2153 2155 2167 2180 2187 2176 2156 2125 2090 2036 1934 1757 1493 1142 851 660 538 443 358 280 206 142 99 74 52 37 30 25 23 25 36 53 70 87 105 126 151 175 196 202 191 169 142 113 86 69 54 42 32 27 25 23 23 21 18 16 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 2 5 8 8 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2328 2206 2124 2082 2065 2083 2110 2131 2136 2122 2101 2074 2036 1964 1821 1583 1257 907 635 440 297 190 114 66 32 9 0 1 1 0 0 0 0 0 0 1 9 19 28 41 60 84 105 118 121 111 92 70 51 37 31 26 21 17 15 14 14 12 11 8 5 3 1 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 1 4 10 10 7 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
2206 2127 2089 2079 2072 2076 2076 2076 2073 2065 2050 2021 1963 1869 1692 1414 1068 748 498 298 150 58 18 8 3 1 1 1 1 0 0 0 0 0 0 0 0 0 2 6 12 23 44 61 74 75 65 53 39 29 24 21 16 11 9 8 7 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 1 3 4 3 2 1 0 0 0 0 0 2 10 12 10 7 5 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
2132 2104 2095 2098 2081 2054 2027 2011 2005 2003 1999 1966 1865 1712 1483 1185 865 587 363 187 70 13 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 24 32 34 31 26 23 21 18 12 8 6 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 2 5 8 10 10 8 5 0 0 1 1 1 2 6 8 8 7 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
2061 2048 2035 2024 1998 1977 1959 1936 1910 1892 1882 1837 1667 1430 1158 877 614 390 214 89 24 3 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 6 4 10 9 6 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 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 2 6 8 7 7 6 5 3 7 9 9 6 4 3 2 3 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
1905 1885 1867 1849 1825 1819 1813 1780 1717 1642 1578 1526 1298 1047 801 574 372 202 89 28 5 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 2 2 2 5 8 16 20 21 17 9 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
1646 1630 1618 1609 1596 1585 1564 1517 1431 1314 1192 1112 890 672 472 301 164 68 19 5 1 0 0 1 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 1 2 2 2 2 1 0 0 0 0 0 0 0 0 1 2 4 4 1 0 0 0 0 0 2 3 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 1 1 1 2 5 3 8 16 21 20 13 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
1327 1319 1312 1302 1282 1253 1219 1176 1104 1000 873 733 552 372 217 103 36 10 1 0 0 0 0 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 3 4 3 4 5 3 1 0 0 0 0 0 0 0 0 2 5 4 2 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 1 2 3 4 8 13 17 16 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
1012 997 981 961 936 905 869 828 763 677 574 453 312 176 74 19 3 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 1 3 4 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 3 7 11 13 11 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
743 714 687 663 640 616 587 550 493 423 341 246 145 64 18 1 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 12 14 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 2 1 0 0 0
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392 358 330 302 276 253 223 189 148 105 64 29 6 1 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 14 10 4 1 0 0 0 0 0 0 0 0 1 1 2 19 35 34 18 2 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 1 2 4 7 10 14 12 9 5 2 0
288 256 231 205 181 159 130 98 68 41 19 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 1 0 0 1 1 1 1 2 2 2 3 2 2 10 15 14 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 2 3 2 1 3 6 9 9 8 8 10 12 10 7 5
214 185 160 137 118 98 74 50 28 12 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 1 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 3 5 6 5 3 4 2 3 5 5 5 5 6 6 6 6 5 3 3 3 4 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 3 3 2 1 1 1 1 0 0 0 0 0 0 2 4 5 5 4 6 10 12 12 10 8 9 11 14 14 13 12
156 129 107 89 73 57 40 21 9 4 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 8 7 6 7 9 10 9 9 9 9 9 8 7 6 4 4 4 5 5 5 5 4 2 2 1 1 0 0 0 1 0 2 4 6 8 9 4 5 5 4 3 2 2 2 2 3 5 6 3 3 5 7 7 7 9 12 15 15 12 10 12 12 13 14 15 15 16
104 82 67 54 42 30 17 6 3 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 13 16 8 8 9 11 12 13 11 11 12 12 11 10 10 9 8 8 7 6 7 8 7 6 4 3 3 3 2 1 1 2 3 5 7 8 9 9 8 7 8 8 7 6 7 7 7 8 9 9 9 9 9 9 8 12 17 19 19 18 14 12 13 14 14 15 17 19 19
59 47 39 31 22 14 7 3 2 2 2 2 1 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 8 11 10 10 8 7 9 10 11 12 13 13 14 14 14 16 16 16 14 12 12 11 10 9 8 8 8 7 7 5 4 5 6 6 6 6 8 9 10 11 13 13 13 12 12 14 16 14 12 12 13 15 16 12 14 14 14 13 13 13 18 21 22 20 19 17 18 19 20 21 22 24 24 23
34 26 21 15 10 6 4 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 7 6 7 11 17 16 12 11 12 15 18 18 16 14 12 11 13 14 15 17 18 17 17 14 14 14 15 14 10 10 11 11 11 9 8 8 10 11 12 14 17 19 20 20 22 23 21 20 20 23 25 22 19 20 22 24 24 18 18 18 17 18 17 20 22 23 24 25 26 31 31 32 33 35 34 31 27 25
15 11 8 6 4 3 3 3 3 3 3 3 2 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 16 15 12 10 9 10 13 14 12 12 15 17 16 17 22 21 18 15 14 14 13 14 15 15 13 12 11 13 15 16 17 15 15 15 15 15 14 16 18 27 36 40 33 34 35 35 34 33 31 29 29 29 31 33 30 28 30 32 34 32 32 32 30 30 31 28 29 31 33 36 35 34 38 40 41 42 43 41 35 30 27
5 4 3 3 3 4 4 4 4 4 4 4 3 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 19 26 24 19 15 13 13 13 14 18 19 19 19 18 19 25 25 22 20 20 19 16 16 16 14 12 10 10 11 12 14 16 18 19 20 21 24 26 26 34 52 71 77 61 55 51 48 45 41 38 38 38 37 35 35 37 38 41 45 48 49 50 50 51 53 51 42 37 36 36 35 39 38 37 37 38 40 37 33 29 26 25
3 3 4 4 4 4 5 5 5 5 5 4 4 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 16 22 26 28 25 20 16 15 17 20 22 22 22 23 26 30 30 29 28 27 27 27 26 23 22 21 19 19 17 15 15 18 20 22 24 25 25 28 31 34 33 41 61 86 95 76 64 57 52 49 48 47 47 48 46 42 43 49 50 50 53 58 60 59 55 53 56 55 46 38 33 32 31 32 30 27 25 26 28 26 24 23 24 26
6 4 4 5 5 5 6 6 6 6 5 5 5 4 3 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 1 4 10 19 26 29 28 27 22 18 17 19 24 23 23 24 26 29 34 40 40 39 37 34 31 32 29 26 26 28 28 29 30 31 32 33 33 31 30 31 31 30 29 29 30 34 45 61 61 52 48 47 46 45 47 50 53 54 53 50 53 53 51 50 49 51 52 49 44 40 39 37 35 31 25 23 19 18 18 18 17 17 17 18 21 25 30 37
7 4 5 5 6 6 6 6 6 7 7 7 6 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 19 27 30 30 28 26 24 24 26 27 26 22 22 25 28 32 36 44 46 44 39 32 27 32 31 31 33 36 37 40 42 45 41 32 27 23 23 23 22 18 15 13 12 13 18 21 23 24 26 30 34 33 36 40 44 46 43 42 43 44 44 42 38 36 33 30 27 23 19 17 17 15 12 11 11 11 12 12 12 11 13 17 22 28 36 45
5 4 5 5 6 6 6 7 7 7 7 8 8 7 5 4 2 1 0 0 0 0 0 1 2 4 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 1 4 9 14 21 27 32 33 30 26 21 18 20 23 25 22 21 23 27 29 28 30 35 36 35 33 29 26 30 31 32 34 32 28 25 17 9 3 5 7 5 4 2 2 3 3 2 1 1 3 5 7 12 17 21 22 20 19 20 22 22 21 22 23 25 28 31 25 22 20 19 17 14 11 8 7 6 5 5 6 6 7 8 9 10 14 18 23 30 39 46
4 4 5 6 6 7 7 7 8 8 8 9 9 8 6 5 2 1 0 0 0 0 1 3 5 7 8 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 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 1 2 4 8 13 18 24 31 37 40 38 33 26 15 17 19 20 22 24 25 27 30 29 25 24 26 27 29 28 25 22 20 17 13 8 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 7 5 4 4 4 6 9 12 17 21 23 19 18 16 14 12 10 8 7 7 7 5 3 1 3 6 8 8 12 17 21 25 30 35 37
4 4 5 6 6 7 7 7 8 9 10 10 9 8 7 4 2 1 1 0 1 2 4 6 7 8 7 5 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 1 1 2 4 6 10 16 21 26 30 36 38 35 30 25 22 11 10 13 17 24 27 27 29 30 29 27 25 24 23 20 15 8 7 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 1 3 8 14 18 16 12 10 8 8 7 6 5 5 5 4 2 2 2 3 5 6 8 12 16 20 21 23 24 24
4 5 5 5 6 7 7 7 8 9 10 10 9 8 6 3 1 1 1 2 3 5 7 8 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 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 3 5 7 9 12 17 22 26 27 26 29 30 28 26 24 21 14 12 17 24 29 25 28 29 29 28 26 23 18 13 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 2 10 20 10 5 2 1 1 1 1 1 2 2 2 0 1 2 3 4 5 5 6 9 12 12 12 13 11 10
4 4 4 5 6 7 7 7 7 8 8 9 8 6 3 1 0 1 3 5 6 7 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 6 4 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 1 0 0 1 2 3 4 7 9 12 16 23 29 32 29 21 15 15 19 22 23 21 20 18 18 21 25 30 34 35 33 29 25 21 13 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 2 4 8 3 1 0 0 0 0 0 0 0 0 0 2 3 3 3 3 5 5 6 7 7 8 10 10 7 4
3 4 4 5 5 6 6 6 6 6 6 6 4 3 1 0 1 2 4 7 8 7 6 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 9 9 7 5 3 1 1 2 4 6 9 12 15 19 26 33 34 30 23 15 8 7 8 12 16 13 15 20 26 31 35 42 44 41 35 26 16 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 2 3 3 3 4 4 4 4 3 3 2 2 4 5 4
3 3 3 4 5 5 5 4 4 4 4 3 2 1 0 0 2 3 4 5 5 4 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 17 21 20 18 15 9 5 3 2 5 9 12 15 19 22 26 31 33 32 26 19 12 7 7 8 6 8 14 18 21 29 38 44 46 52 48 37 26 16 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 1 2 2 1 1 1 1 0 0 1 3 9 16
2 2 2 3 4 4 3 3 3 2 2 1 0 0 0 1 1 1 2 2 3 3 3 3 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 19 22 19 15 11 8 7 7 9 13 18 24 31 37 39 37 32 28 22 16 13 11 12 16 13 12 14 18 23 30 41 48 49 45 39 29 17 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 2 2 1 0 0 1 2 1 3 10 24 47
1 2 2 2 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 3 3 2 1 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 2 5 9 11 11 13 11 9 9 10 13 17 22 28 36 42 47 51 51 44 32 24 19 19 23 28 30 37 33 27 24 25 30 36 41 42 39 31 21 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 1 2 1 1 2 3 3 4 5 6 8 8 8 7 6 6 6 6 9 14 25 47
1 1 1 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 1 2 3 4 5 5 4 4 3 2 2 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 1 0 0 0 0 0 1 2 3 2 0 0 0 0 1 3 4 5 7 7 10 12 13 16 22 28 35 42 48 53 54 55 58 59 52 38 33 37 41 47 54 57 54 46 38 34 32 31 30 28 25 19 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 1 1 1 2 2 3 3 3 3 5 8 12 15 17 18 18 16 13 10 8 7 6 4 2 1 11
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1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 3 2 2 1 1 1 1 1 2 2 1 2 4 4 3 3 3 2 1 1 2 1 2 3 5 7 7 7 9 12 14 17 21 20 17 12 12 18 27 37 45 46 46 46 46 48 52 54 48 46 46 48 55 65 73 78 77 66 57 49 45 48 59 74 88 91 83 67 51 33 17 8 3 2 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 1 3 6 7 7 6 6 5 3 3 3 4 6 4 23 25 20 13 8 7 7 9 10 7 7 7 6 5 2
1 1 1 1 1 1 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 2 2 1 1 2 2 3 5 7 7 7 6 4 1 2 2 2 2 3 4 2 1 1 2 4 4 6 9 12 14 20 24 24 23 23 26 32 37 41 42 37 35 40 47 50 47 43 36 33 34 40 48 56 58 54 46 37 29 30 44 70 102 119 117 99 70 39 20 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 2 4 7 10 12 14 13 11 11 16 30 25 37 39 33 26 18 10 9 10 9 7 10 9 7 6 4
1 2 1 1 1 1 2 2 3 3 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 7 11 12 11 8 3 0 0 1 2 3 4 3 1 2 4 4 4 5 8 10 14 20 22 23 23 22 24 31 36 37 38 37 33 31 32 35 36 33 28 25 24 25 27 26 30 30 29 29 30 37 57 91 125 140 127 95 58 25 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 1 2 3 11 23 34 36 33 28 28 42 72 73 73 66 51 40 30 17 10 10 11 10 9 8 7 6 6
2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 5 5 7 10 11 9 6 2 0 1 2 3 4 3 1 1 3 5 5 5 6 8 13 18 20 20 19 18 17 20 33 33 31 30 29 27 23 18 15 15 16 20 22 23 23 24 21 22 22 27 41 69 108 144 159 149 120 82 46 18 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 2 7 13 20 27 38 48 55 55 53 47 48 64 79 84 85 77 57 48 41 35 30 25 19 16 13 11 9 8 8
2 3 3 3 3 3 4 4 5 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 2 3 3 3 3 3 4 4 5 6 8 7 6 6 6 6 5 3 1 0 1 2 3 2 1 0 0 1 2 4 4 3 4 8 13 14 13 12 11 9 12 30 27 22 18 18 18 16 13 12 13 17 19 20 18 16 14 10 10 26 59 105 150 169 164 138 97 57 30 12 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 7 22 40 38 40 42 45 48 52 57 65 73 79 82 84 81 77 75 62 56 52 49 46 39 33 27 22 18 15 13 11
3 3 4 4 4 4 5 6 7 7 8 7 7 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 2 2 2 2 2 2 1 1 0 0 0 0 1 3 5 5 1 0 1 1 1 0 0 0 3 6 6 6 5 4 4 7 14 16 16 15 15 17 15 15 16 16 15 14 12 12 10 8 10 28 74 133 179 185 154 112 68 32 11 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 2 17 42 63 45 41 41 43 47 53 64 77 91 103 111 115 110 102 101 87 79 72 67 63 55 49 44 40 36 31 26 20
4 4 4 4 5 5 6 7 8 8 8 8 7 7 6 5 5 4 4 3 3 3 3 3 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 7 3 0 0 0 2 3 1 1 4 7 9 7 6 4 4 7 14 21 23 21 16 14 14 16 17 19 19 17 15 14 16 22 45 93 151 188 177 136 87 47 20 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 0 0 0 0 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 16 33 53 44 40 39 38 36 53 71 88 102 114 125 136 140 135 134 132 127 117 105 92 81 72 66 63 60 56 49 42
5 5 5 5 5 6 7 8 9 9 8 8 8 7 6 6 5 5 5 5 4 4 4 4 4 5 5 5 4 3 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 4 9 9 5 1 1 2 3 4 6 4 3 5 9 11 5 5 3 3 7 13 16 15 12 9 4 6 9 13 16 18 22 27 32 41 59 104 157 183 169 117 67 33 14 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 2 6 12 29 34 35 37 45 45 57 70 80 87 95 109 125 136 142 145 140 136 135 135 123 110 100 92 84 80 78 77 77
6 6 5 6 7 7 8 9 10 10 9 8 8 7 6 6 6 5 5 5 4 4 4 4 4 5 5 5 4 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 5 6 4 1 0 1 3 5 7 6 4 4 5 8 10 5 2 1 1 3 6 8 6 2 0 0 3 6 12 19 25 36 49 62 76 94 139 161 148 107 58 25 10 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 1 1 7 9 9 13 27 21 31 46 60 67 80 95 109 122 133 143 148 147 141 134 126 118 112 107 102 99 97 98 100
7 7 7 7 8 9 10 11 11 10 9 8 8 7 6 6 6 5 5 5 5 5 4 5 5 6 6 5 3 0 0 0 0 0 0 1 0 0 1 2 3 3 2 2 3 6 4 2 1 0 0 1 3 5 6 6 5 4 3 3 3 2 1 1 2 2 3 2 2 2 4 10 16 22 32 48 63 76 85 89 92 114 111 86 52 20 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 11 12 14 20 23 29 36 43 50 63 78 93 107 121 133 142 144 140 131 125 120 115 111 108 106 102 98 96
9 9 8 9 9 10 11 12 12 11 9 8 8 7 6 6 5 5 5 5 5 5 5 6 6 7 7 5 3 1 0 0 0 0 0 0 0 0 1 2 2 2 1 0 2 2 1 1 0 1 0 1 2 4 6 8 5 2 0 0 1 0 0 0 0 0 1 2 4 8 16 24 30 36 48 71 91 97 88 71 63 66 58 40 20 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 1 1 1 4 7 10 13 15 18 26 31 32 32 32 37 47 63 83 100 110 120 128 132 131 125 124 125 124 120 112 106 100 95 87
10 10 10 10 11 13 14 14 13 12 10 9 8 7 7 6 5 5 5 6 6 6 6 7 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 2 4 2 5 8 10 12 12 7 3 1 0 0 0 0 0 0 0 2 4 9 16 27 32 39 52 74 99 110 101 78 53 42 35 26 15 6 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 1 2 2 2 2 3 5 9 11 14 17 20 27 36 42 44 39 38 38 43 50 58 75 91 103 113 121 126 122 123 129 133 128 115 104 95 87 81
11 11 12 13 13 15 16 15 14 12 10 9 8 7 7 6 6 6 6 6 6 6 7 8 9 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 6 8 11 14 14 12 7 3 1 0 0 1 1 1 0 1 3 5 7 10 20 32 53 82 114 136 129 101 67 41 26 17 9 4 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 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 1 1 1 1 1 2 3 3 4 5 6 8 12 15 17 21 27 35 42 48 50 44 42 43 45 47 48 66 78 86 94 97 106 110 116 123 125 117 111 104 89 75 70
11 12 13 15 16 16 15 14 13 11 9 8 8 8 7 6 6 6 7 6 7 7 8 9 9 7 4 2 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 7 11 15 16 13 9 7 6 5 4 6 6 4 2 2 3 4 7 14 31 57 90 122 144 144 115 75 39 17 9 6 4 3 4 5 4 2 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 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 1 1 2 2 3 3 4 4 5 6 8 9 13 17 21 23 27 32 35 39 41 42 45 47 49 50 55 62 67 70 73 70 72 77 82 90 86 69 56 53 60 60 59
12 14 15 16 15 14 12 11 11 10 9 8 7 7 7 7 7 7 7 7 8 9 8 7 6 4 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 8 14 19 21 22 21 18 15 13 13 14 13 12 10 9 11 20 44 75 107 126 129 117 95 63 33 12 4 3 3 4 4 3 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 2 1 3 7 10 10 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 1 1 1 2 2 3 4 5 6 8 10 11 15 18 20 22 23 23 26 32 36 41 48 51 50 51 55 56 54 49 43 42 41 40 41 43 42 36 31 33 37 40 42
13 15 15 13 11 8 7 8 8 8 8 7 7 7 6 6 6 7 7 7 8 7 5 3 2 1 1 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 7 14 20 26 29 29 26 20 16 18 21 22 22 25 29 38 55 83 103 106 92 68 48 37 24 14 7 4 4 3 3 3 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 3 5 5 6 9 14 17 13 10 8 5 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 1 1 3 4 6 7 9 12 14 16 18 19 20 22 25 28 32 36 41 46 49 46 44 41 36 30 22 20 19 18 18 17 19 20 19 17 13 9 11 15
14 14 11 8 6 5 5 6 7 7 7 6 6 6 6 6 6 6 6 6 5 4 2 1 2 3 3 4 5 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 2 4 8 12 14 14 14 18 20 15 17 21 25 30 37 52 66 79 89 96 85 61 35 17 12 16 15 11 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 7 11 13 18 21 22 19 14 13 12 12 10 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 11 13 14 15 18 20 22 23 24 27 31 37 41 44 44 39 31 23 18 14 9 7 6 6 7 5 4 4 6 9 8 6 4 4
12 10 7 5 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 4 2 2 3 4 5 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 7 7 9 11 11 11 12 18 26 30 28 31 37 47 61 80 98 102 99 92 81 66 48 31 20 14 14 13 10 7 6 3 1 0 0 0 0 0 0 0 0 0 1 1 1 3 5 6 8 9 9 8 13 20 24 25 28 25 20 15 14 16 20 26 32 33 21 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 13 14 14 16 18 20 21 23 24 25 27 34 40 42 40 32 23 15 8 5 4 3 2 2 2 1 1 2 4 6 6 7 6 4
7 5 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 3 2 1 1 2 4 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 9 7 5 10 14 17 18 19 27 37 45 51 57 65 77 91 104 107 99 85 69 53 44 30 18 12 10 10 9 9 9 8 4 1 0 0 0 0 0 0 0 0 2 5 7 6 8 12 16 19 19 18 16 22 29 34 34 31 23 15 12 13 18 27 39 49 49 39 22 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 1 2 4 5 7 9 11 13 16 18 19 20 22 23 24 27 33 38 40 37 31 21 11 4 2 2 2 2 2 3 2 3 4 4 5 5 5 3 1
3 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 2 1 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 8 7 12 19 26 31 35 41 50 58 66 75 82 86 93 99 101 95 80 61 41 27 20 14 11 11 11 9 8 7 4 2 0 0 0 0 0 0 0 0 0 1 5 9 11 11 14 19 24 25 21 19 19 21 25 28 29 25 20 15 13 14 18 27 38 47 41 25 9 0 0 0 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 1 2 4 6 8 9 11 13 16 16 17 19 20 21 22 26 30 32 32 29 24 15 5 0 0 1 1 2 3 3 4 4 3 4 4 4 3 2 2
2 3 3 4 4 4 4 4 4 4 3 2 2 2 2 3 2 2 1 1 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 11 13 13 17 25 33 39 46 55 62 69 76 85 92 92 86 80 77 73 68 57 41 25 13 10 8 8 9 10 9 4 1 1 0 0 0 0 0 0 0 0 0 0 1 3 8 11 12 13 14 16 18 18 16 16 18 21 23 23 22 22 22 21 19 16 19 24 29 36 33 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 2 4 5 7 8 9 11 14 15 15 16 18 19 20 21 22 22 21 17 11 5 1 0 0 0 1 3 5 5 5 4 4 4 5 4 2 1 1
2 3 3 4 4 4 4 4 4 3 2 2 2 2 2 2 3 3 2 2 3 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 7 6 9 13 19 26 37 44 51 60 64 65 76 88 88 85 83 81 77 72 59 46 35 28 22 15 8 4 3 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 12 14 14 14 13 12 13 13 16 20 23 23 23 24 24 23 21 18 14 13 14 20 30 33 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 2 3 4 6 7 6 8 11 12 14 15 16 17 18 18 16 14 12 12 9 6 3 0 0 0 0 0 1 1 3 4 5 6 7 5 2 1 0 0
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