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 10 10 9 8 8 7 7 7 7 6 7 7 6 5 6 6 6 6 5 5 6 7 9 9 9 9 8 8 8 9 10 8 6 6 6 6 6 7 9 8 7 7 8 10 11 11 11 10 10 9 8 8 9 11 12 13 12 10 9 9 9 8 8 7 8 8 8 9 9 9 8 7 6 6 6 6 7 7 7 6 6 7 6 6 7 7 8 9 9 8 7 8 8 8 7 6 5 5 5 6 7 8 8 8 7 7 7 7 8 8 7 6 6 6 7 9 10 10 9 9 9 8 9 9 9 9 9 9 8 8 8 9 9 nan
nan 11 10 9 8 7 7 7 8 7 6 7 7 6 6 5 5 5 5 5 5 6 8 9 10 10 9 9 9 9 11 10 7 6 6 5 5 5 7 9 9 8 6 7 9 11 12 11 10 9 8 7 8 9 11 11 11 10 10 10 10 10 9 8 8 7 7 8 8 8 8 7 7 6 6 6 7 8 8 7 7 7 8 7 7 7 7 9 10 10 8 7 7 7 7 7 6 6 6 7 8 9 9 8 7 7 7 7 7 8 8 8 7 7 8 9 10 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 9 9 nan
nan 13 11 9 7 6 6 8 8 8 7 7 7 7 6 4 3 5 5 5 6 7 8 9 9 9 8 8 8 9 10 10 9 8 8 8 7 7 8 9 9 8 7 7 8 10 10 9 8 8 8 8 9 9 10 9 9 8 8 9 9 9 9 8 8 7 7 8 8 7 6 7 8 7 6 6 7 8 8 8 7 7 8 8 7 7 8 9 9 8 7 6 6 7 8 7 7 7 7 8 9 9 9 8 7 8 8 8 8 8 9 9 8 8 9 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 9 9 nan
nan 13 11 8 6 5 6 7 8 8 8 8 8 7 6 4 3 5 5 6 7 7 8 8 9 8 7 6 6 7 9 10 11 12 12 11 9 8 8 9 9 9 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 7 7 7 8 8 7 5 6 7 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 6 5 5 6 7 8 8 8 7 7 7 8 8 8 7 8 8 9 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 9 nan
nan 11 9 7 6 5 6 7 7 7 7 7 7 7 6 5 5 6 6 6 7 7 7 8 9 8 6 5 4 5 8 11 13 14 13 12 9 7 7 8 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 6 5 4 5 6 6 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 7 8 9 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 8 7 7 7 8 8 9 9 9 9 8 8 8 7 7 6 6 7 8 8 nan
nan 9 8 7 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 9 8 6 5 5 6 8 10 12 12 11 9 8 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 6 6 6 6 5 5 4 4 5 6 7 8 8 9 9 9 9 8 8 8 8 8 9 10 11 10 9 8 8 9 9 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 9 9 8 7 6 6 6 6 7 7 8 nan
nan 9 9 8 7 6 6 6 6 6 7 7 7 7 6 6 6 7 7 7 7 6 6 8 9 8 6 6 7 8 10 11 12 10 9 8 8 8 9 9 9 10 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 6 6 6 6 6 6 6 5 4 4 6 7 8 8 8 8 7 7 7 7 8 8 9 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 12 11 10 8 6 7 8 9 9 8 7 6 6 6 6 7 8 8 nan
nan 10 9 9 8 7 6 6 5 6 7 8 8 7 7 6 6 6 6 6 6 6 7 10 10 8 7 6 6 8 10 13 14 12 11 10 9 9 8 8 9 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 8 7 6 7 7 7 6 7 7 7 6 5 4 6 7 8 8 7 7 7 7 7 7 8 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 9 9 9 9 10 10 10 10 10 11 11 12 11 10 9 10 10 9 9 7 7 7 7 7 7 7 7 8 nan
nan 10 9 8 8 7 7 6 6 6 8 8 8 7 6 6 6 6 6 6 6 6 8 10 9 8 7 6 6 8 10 11 12 12 11 10 8 7 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 9 7 6 7 8 7 7 7 8 8 8 6 5 6 7 8 7 7 6 6 7 7 8 9 10 10 9 9 10 10 9 8 8 8 9 9 9 8 7 6 6 8 10 10 9 9 8 8 8 9 10 10 9 8 8 9 10 11 12 13 14 12 10 9 8 7 8 8 7 7 7 7 7 nan
nan 10 9 8 7 7 7 6 6 7 8 8 7 6 5 5 5 5 6 7 7 7 8 8 7 7 6 6 7 9 10 9 8 9 9 9 8 7 6 6 6 7 8 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 9 10 11 10 7 6 8 8 8 8 8 8 9 9 8 6 6 7 8 8 7 7 6 6 6 7 7 8 9 9 10 10 9 8 7 7 8 8 9 9 8 6 5 5 8 10 10 10 9 8 7 7 8 8 8 8 8 8 9 10 11 13 14 13 12 10 8 8 8 9 8 7 7 7 7 7 nan
nan 9 8 7 7 7 7 7 8 8 9 8 7 5 4 4 5 5 6 7 8 8 8 7 7 7 6 6 8 9 9 8 7 7 8 8 7 7 7 6 7 7 8 9 8 7 7 7 7 8 8 7 7 8 8 8 8 7 8 10 11 10 7 6 8 9 9 8 8 9 9 10 9 7 7 7 7 8 8 7 6 6 6 6 6 7 9 10 10 10 10 10 9 9 9 8 8 8 8 7 6 7 9 10 10 10 10 9 8 7 7 7 7 7 8 8 9 11 12 12 12 11 9 8 7 7 9 9 9 8 7 8 7 7 nan
nan 9 8 7 8 8 8 8 9 9 9 8 7 5 4 4 5 6 7 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 7 7 8 8 8 7 7 6 7 7 8 8 8 8 9 9 9 8 8 9 10 11 10 8 7 8 9 10 10 10 10 11 11 10 9 8 7 7 8 8 7 7 7 6 6 7 8 10 10 10 11 12 13 13 12 11 10 9 9 9 9 10 10 10 9 9 9 9 9 8 7 8 8 8 8 8 8 9 10 11 11 11 9 8 6 5 6 8 9 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 7 8 8 9 10 9 8 8 8 8 7 7 7 8 9 9 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 9 9 10 11 12 12 12 11 10 10 11 11 12 12 12 13 12 12 11 9 9 8 8 8 8 8 8 8 9 9 11 11 11 10 11 12 14 14 13 12 11 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 7 6 5 6 6 7 7 7 7 7 6 7 nan
nan 8 8 8 8 8 8 9 9 9 9 7 6 6 6 7 7 7 7 7 8 9 8 7 7 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 8 7 6 7 7 7 8 8 8 9 10 10 10 10 9 9 10 12 14 15 14 15 15 14 13 13 13 14 14 15 15 16 15 14 13 12 11 10 9 9 10 10 10 11 12 14 14 13 12 12 12 13 13 13 12 11 10 9 9 10 11 12 11 10 10 10 11 11 11 11 10 9 8 7 7 8 8 9 9 9 8 8 7 6 6 5 5 6 6 7 8 7 7 7 nan
nan 7 8 8 8 8 8 8 9 9 8 7 6 6 7 8 8 8 7 6 7 7 6 4 6 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 7 6 5 5 6 6 7 7 8 9 9 10 10 9 8 7 9 13 15 15 15 17 18 17 14 13 13 14 15 16 18 19 19 19 18 16 15 12 11 10 10 11 11 12 13 15 16 15 14 13 13 13 13 12 12 11 9 8 7 8 10 12 11 11 11 12 12 12 12 12 11 9 8 7 7 8 8 9 9 9 8 7 7 6 6 6 5 6 6 7 7 7 6 6 nan
nan 7 8 9 8 8 7 8 9 10 8 7 6 7 8 8 8 7 6 5 5 5 4 4 5 6 7 7 7 7 7 8 8 8 7 7 7 7 8 8 6 5 5 4 4 5 5 6 7 8 8 8 8 8 6 6 8 11 13 13 13 14 16 14 12 11 12 12 13 14 16 19 20 21 20 18 16 14 12 11 10 10 11 12 13 14 15 15 15 14 13 12 10 10 10 10 9 8 7 7 9 9 10 11 12 13 12 11 11 12 11 10 9 8 8 8 9 9 9 9 8 8 7 6 6 6 5 6 6 6 6 6 6 6 nan
nan 7 8 9 9 8 7 7 9 10 9 8 7 8 8 8 8 7 5 4 5 5 4 5 5 6 7 7 7 7 8 8 8 8 7 7 7 8 8 7 5 5 5 5 4 5 5 6 6 6 7 7 7 7 6 6 7 9 10 11 11 11 11 10 9 9 9 10 9 9 11 15 17 18 18 18 16 14 12 10 9 8 9 10 10 11 13 14 14 13 12 10 8 7 8 9 10 10 9 9 9 9 10 11 12 12 11 10 10 10 11 11 11 9 8 8 9 9 9 10 10 9 8 6 6 5 5 6 6 6 7 6 6 7 nan
nan 8 9 10 9 8 7 7 8 9 9 8 8 8 8 7 7 6 5 5 6 6 5 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 8 9 9 9 10 9 8 8 8 9 9 9 8 9 11 12 13 14 16 16 13 11 9 7 6 7 8 8 8 11 12 12 12 12 11 8 7 7 8 9 10 10 11 11 11 12 12 12 12 11 9 9 10 11 12 12 9 7 8 8 10 11 11 12 11 9 7 6 6 6 6 6 7 8 8 8 8 nan
nan 9 10 10 8 7 7 7 8 9 9 8 8 8 7 7 6 5 6 6 6 6 6 6 7 7 8 8 8 8 8 7 6 6 7 7 6 6 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 7 6 6 6 6 8 8 9 10 9 8 8 8 9 10 10 9 10 10 10 10 11 13 15 13 11 9 7 6 6 6 6 8 10 12 12 11 11 11 9 7 7 7 8 9 10 11 11 12 13 13 14 14 12 10 10 10 12 12 11 9 7 7 8 10 12 14 15 14 11 10 8 8 7 7 8 9 9 8 8 7 nan
nan 10 10 9 7 6 6 6 7 8 8 8 9 9 8 7 6 6 6 5 5 5 5 6 8 8 8 8 8 8 7 7 6 6 7 6 5 6 7 8 8 8 8 8 8 7 6 7 7 7 7 6 6 6 5 5 5 5 7 8 9 10 9 9 8 8 9 9 10 10 10 11 11 10 9 11 12 12 11 10 9 8 7 7 7 8 11 12 12 11 10 9 8 7 6 6 7 7 8 9 10 11 12 13 15 15 13 10 9 9 10 11 10 8 7 7 8 10 12 16 17 16 13 11 10 9 8 8 9 10 10 9 8 6 nan
nan 10 10 8 6 5 5 6 6 7 7 8 10 10 8 7 6 6 5 4 4 5 6 7 8 8 7 7 7 7 7 6 5 6 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 11 11 11 11 11 10 8 7 8 9 11 13 13 12 10 7 6 5 6 6 7 7 7 8 8 9 10 12 14 15 13 11 9 9 9 9 8 7 6 7 8 10 12 14 16 15 13 10 9 9 9 10 10 10 10 9 9 7 nan
nan 10 9 8 7 6 6 5 6 6 7 9 10 10 9 8 7 6 4 4 5 6 7 7 7 7 7 7 7 7 6 5 5 8 10 12 13 13 12 10 9 8 8 8 8 9 9 9 9 9 9 8 7 6 6 7 7 6 6 6 7 7 8 8 9 9 9 8 8 9 10 10 10 10 10 10 10 11 12 12 12 11 9 8 8 9 10 12 13 13 10 7 5 5 5 6 7 7 7 7 8 8 9 11 13 14 13 12 11 10 9 8 6 5 5 6 8 9 10 12 13 13 11 10 9 10 11 11 11 11 10 10 9 8 nan
nan 10 9 8 8 7 6 5 5 5 7 9 10 10 9 8 7 5 5 6 7 8 7 7 7 8 8 8 7 6 6 6 9 13 15 16 16 15 13 11 9 8 8 8 8 9 10 10 9 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 8 8 9 10 10 10 10 9 10 10 11 11 12 12 12 10 9 9 8 9 11 13 13 11 9 6 5 5 5 6 7 7 8 8 8 9 10 11 12 13 13 13 11 9 7 5 3 3 4 7 8 9 10 11 12 11 10 11 12 12 12 12 11 10 9 9 9 nan
nan 11 10 9 9 9 7 5 4 5 7 10 10 10 9 8 7 6 6 7 8 8 7 6 6 8 9 8 8 8 8 11 15 17 17 17 15 14 12 11 10 9 9 9 9 9 9 8 7 7 7 7 7 6 6 6 6 6 7 7 7 6 7 8 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 9 11 13 14 12 10 8 6 5 4 5 5 6 7 8 8 9 9 10 11 12 13 14 13 11 8 5 4 3 4 5 7 8 9 10 11 11 12 12 13 13 12 11 10 9 9 9 10 nan
nan 13 12 11 10 9 7 6 5 6 8 10 10 9 9 9 9 8 7 7 7 7 6 6 6 8 9 9 10 11 12 14 15 15 14 13 11 10 9 9 9 9 8 8 7 6 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 7 8 8 8 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 12 13 12 11 9 7 5 4 4 5 5 6 7 8 8 9 9 10 12 13 13 13 12 9 7 6 5 5 5 7 8 8 10 11 12 13 13 12 11 10 9 9 8 9 10 11 nan
nan 14 13 12 11 10 9 7 7 7 9 10 9 8 8 8 9 9 8 7 6 6 6 7 8 8 9 9 10 10 10 10 9 8 8 7 7 6 6 5 5 5 5 5 4 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 9 9 9 10 10 11 10 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 11 11 10 9 7 6 5 5 5 5 6 7 7 7 7 9 10 11 11 12 13 12 10 8 7 6 6 6 6 7 7 8 10 12 13 13 11 10 9 9 9 10 11 11 11 nan
nan 13 12 12 12 12 11 10 9 10 10 10 9 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 6 5 4 3 3 4 4 4 3 2 1 1 1 2 2 2 2 2 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 10 10 11 11 10 10 9 9 8 8 8 9 10 10 9 8 7 6 6 6 7 8 8 7 7 7 8 8 9 9 10 11 11 10 9 8 7 7 6 6 6 6 7 8 10 11 11 11 10 10 10 10 11 12 12 11 nan
nan 11 12 12 13 14 14 14 13 13 11 10 9 8 7 7 8 9 9 9 9 8 9 9 9 9 8 6 5 5 5 5 5 5 4 4 2 1 0 -0 0 1 2 3 3 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 8 9 9 9 9 8 8 7 7 6 7 8 9 8 8 8 8 8 8 7 7 9 10 11 10 9 7 7 7 6 6 6 6 7 8 9 9 10 11 12 12 11 11 11 10 10 nan
nan 9 11 13 15 16 18 19 18 16 11 8 7 7 7 8 9 10 11 11 10 10 10 10 10 9 8 6 6 7 8 9 9 8 6 5 3 2 2 2 2 3 3 4 5 5 6 6 7 8 8 8 7 7 7 6 7 7 7 7 6 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 8 8 7 6 6 7 8 8 9 9 9 9 8 7 6 7 8 10 10 10 8 7 7 7 6 6 6 6 7 7 7 9 10 12 12 11 10 10 10 9 nan
nan 9 11 13 15 17 19 21 21 17 11 7 6 6 7 8 9 10 10 10 11 11 12 11 10 9 7 7 8 8 9 10 9 8 7 5 5 4 5 5 5 5 5 5 6 6 7 8 10 10 10 9 8 8 7 7 7 7 7 6 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 8 8 9 9 8 7 7 6 6 6 7 8 9 9 9 9 8 7 6 7 9 10 10 9 8 8 8 8 7 7 7 6 6 6 6 8 10 10 10 10 10 10 10 nan
nan 10 11 12 13 15 17 19 20 17 13 9 7 7 8 8 8 8 8 10 11 13 13 12 11 9 8 8 8 8 8 8 8 8 7 6 7 8 9 10 8 7 7 7 7 8 10 11 12 11 10 8 8 8 8 8 8 8 7 6 5 6 6 7 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 7 6 6 6 7 8 8 9 9 8 7 7 8 9 10 10 10 9 8 8 8 9 9 9 8 6 6 6 6 7 9 9 9 9 9 9 nan
nan 10 10 11 11 12 14 16 17 16 14 12 10 10 9 8 8 9 10 11 12 13 12 11 10 9 7 7 7 7 7 8 8 9 9 8 9 10 11 11 10 8 8 9 10 12 13 13 11 10 8 7 8 9 9 9 9 9 8 7 6 6 6 6 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 10 9 8 7 7 8 8 8 8 7 6 5 6 7 7 8 8 8 7 7 8 8 9 9 10 8 7 7 8 9 10 10 10 9 8 7 7 7 8 9 9 9 9 8 nan
nan 9 9 9 10 10 12 13 14 14 14 14 13 12 11 10 11 13 14 14 13 12 10 9 9 8 6 6 6 7 8 8 9 10 10 9 9 9 9 8 8 8 9 11 13 12 11 9 7 6 6 7 8 9 9 9 9 9 9 9 8 7 7 6 7 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 8 9 10 10 10 9 9 10 10 9 9 8 8 8 8 nan
nan 9 9 9 9 10 11 12 12 13 13 14 13 13 13 13 15 16 16 15 13 10 9 8 8 7 6 7 8 9 10 11 11 10 8 7 6 7 7 7 7 9 10 12 12 9 7 5 5 6 7 8 9 9 9 9 9 9 9 10 10 10 9 8 8 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 10 10 11 10 10 10 10 9 8 7 6 6 6 6 7 7 7 8 8 8 8 9 10 11 11 10 9 9 9 9 9 nan
nan 8 8 8 9 9 10 11 12 13 13 13 13 14 14 15 15 15 14 13 11 9 8 7 8 7 8 10 11 13 14 15 13 10 6 5 6 7 8 8 9 10 11 11 9 7 6 6 6 7 8 8 8 8 8 7 7 7 8 9 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 7 7 8 9 9 10 10 10 11 12 12 12 12 11 11 11 11 10 9 8 7 6 7 7 7 7 7 7 7 7 8 10 11 11 10 10 9 10 10 10 nan
nan 9 9 9 9 9 10 11 12 12 12 12 12 12 13 13 13 12 11 10 10 9 9 8 9 9 11 13 14 15 16 16 13 9 7 7 8 9 9 9 10 10 10 9 8 7 7 8 8 8 7 7 7 7 7 6 6 6 7 7 8 9 9 8 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 8 9 9 9 9 9 10 11 11 11 10 10 10 11 11 12 11 10 9 8 8 9 9 8 8 8 8 9 9 10 11 12 11 11 11 11 11 11 nan
nan 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 13 14 15 15 15 14 12 10 9 10 11 11 12 12 12 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 5 4 5 6 7 7 8 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 8 8 8 7 8 8 9 9 8 8 8 9 9 10 9 9 9 9 10 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 nan
nan 11 11 11 11 12 12 13 12 12 11 11 10 10 10 10 10 10 11 12 13 14 14 14 14 14 14 14 13 13 13 12 12 12 13 14 15 15 14 13 13 12 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 4 4 4 5 6 6 7 8 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 nan
nan 12 12 12 12 12 13 13 12 11 10 10 10 9 9 9 10 10 12 13 14 14 15 14 14 14 13 13 12 12 12 12 12 14 15 16 16 14 13 11 10 10 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 7 6 5 4 4 4 5 6 7 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 9 8 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 8 8 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 10 10 10 11 nan
nan 11 12 12 12 12 13 13 12 11 10 9 9 9 9 9 9 10 12 13 13 14 13 13 13 12 12 12 12 12 12 13 13 14 14 14 13 12 10 9 8 8 8 9 10 11 12 12 12 12 11 12 12 12 11 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 5 4 4 5 6 7 8 7 8 8 9 9 8 8 8 9 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 10 10 9 9 8 8 8 8 9 10 10 9 9 9 8 8 9 9 9 9 9 9 10 nan
nan 11 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 10 11 12 12 13 12 12 12 12 12 12 12 13 13 13 13 13 13 12 11 10 9 9 8 9 9 10 11 13 14 14 14 13 13 13 13 13 12 11 10 10 10 10 10 9 9 9 8 8 8 7 7 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 7 6 7 8 9 9 9 9 8 7 8 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 nan
nan 10 11 11 11 11 11 11 11 10 10 10 10 9 8 8 9 9 10 11 11 12 12 12 12 11 11 12 12 12 12 12 13 13 12 11 10 10 9 9 9 10 11 12 12 13 13 13 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 6 5 5 6 7 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 11 11 10 9 8 7 7 8 9 9 10 10 9 8 8 8 9 10 10 10 9 9 8 8 8 9 9 8 8 9 nan
nan 10 10 10 11 10 10 10 10 10 11 11 10 9 8 8 8 9 9 10 11 11 12 11 11 11 11 11 11 11 12 12 12 11 11 10 10 9 8 8 8 10 11 12 12 12 11 9 8 8 8 8 8 7 7 8 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 5 5 7 9 10 10 9 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 11 10 9 8 7 8 8 8 9 10 10 9 8 7 7 7 9 10 9 9 9 8 8 8 8 8 8 8 8 nan
nan 9 9 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 9 8 7 8 9 10 11 11 9 7 6 5 6 6 7 6 6 6 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 7 6 5 5 7 9 9 9 8 7 7 7 8 8 7 6 6 6 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 7 7 8 8 8 9 10 9 8 7 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 9 9 10 10 11 11 11 12 12 12 12 11 10 9 9 9 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 6 5 4 4 5 6 6 6 6 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 5 5 6 8 9 8 7 6 6 6 7 8 7 7 6 5 5 6 7 7 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 7 7 8 8 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 8 7 7 nan
nan 9 9 9 10 11 11 12 13 13 13 13 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 13 12 10 8 6 5 5 6 6 6 7 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 6 5 4 5 7 8 8 8 7 6 6 6 7 7 7 7 6 6 6 7 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 7 7 8 nan
nan 9 9 10 10 11 12 13 13 14 14 14 13 12 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 9 6 4 3 4 6 8 9 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 7 7 7 8 8 7 7 8 10 10 10 9 9 9 9 9 9 nan
nan 9 10 10 10 11 12 13 13 13 14 14 13 12 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 9 8 6 4 3 3 5 7 9 10 10 9 9 10 11 11 12 12 11 10 9 8 8 7 7 7 7 7 6 6 6 6 6 6 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 9 8 8 8 7 7 8 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 8 9 11 11 11 11 10 10 11 11 11 nan
nan 9 10 10 11 11 12 12 12 13 13 13 13 12 11 10 10 10 11 11 11 11 11 11 10 11 11 11 10 10 10 9 10 11 10 10 10 9 9 8 7 6 6 6 8 9 9 9 8 8 8 9 10 11 12 13 12 11 10 9 8 8 8 8 7 6 6 6 5 5 5 5 5 6 7 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 8 7 7 7 8 8 9 10 11 12 11 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 11 12 12 11 10 9 9 9 9 9 8 7 7 7 6 6 5 5 5 6 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 12 11 10 10 nan
nan 11 11 11 11 11 11 11 12 11 12 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 11 12 13 13 12 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 10 9 8 8 7 7 7 6 6 6 6 7 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 9 10 11 11 10 9 9 9 9 9 9 9 10 11 10 10 10 10 11 11 11 10 10 9 9 10 10 10 10 10 11 12 11 10 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 11 11 11 11 11 11 11 11 11 12 13 15 16 15 13 13 12 12 13 13 13 12 11 9 9 8 7 7 8 8 8 8 9 9 8 7 6 6 7 7 7 7 8 8 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 10 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 10 11 11 10 9 9 8 8 9 9 9 10 11 13 12 10 9 nan
nan 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 10 11 11 12 12 14 15 16 17 17 16 15 14 14 13 12 11 10 9 8 7 6 6 6 6 6 6 7 6 5 5 5 5 7 8 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 11 11 11 11 12 12 12 11 10 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 8 7 8 9 10 9 8 8 8 8 8 8 9 10 12 13 12 10 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 10 10 10 10 10 11 12 12 13 13 14 15 15 14 14 13 12 10 8 7 7 6 5 5 4 4 5 5 5 5 4 4 4 4 5 6 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 8 7 7 8 8 9 9 9 10 10 10 9 8 8 8 9 10 10 9 8 8 8 8 8 9 11 13 12 11 10 9 nan
nan 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 12 12 12 11 11 10 10 9 8 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 10 9 9 9 10 10 10 11 11 11 10 9 8 7 7 8 8 8 9 9 10 11 11 11 10 9 9 10 10 10 9 9 8 8 8 8 9 11 12 12 11 10 9 nan
nan 10 10 11 11 11 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 9 8 7 7 6 5 4 4 4 4 5 6 7 8 8 7 7 7 7 7 7 6 6 8 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 9 9 9 9 8 8 9 9 10 10 11 11 11 9 8 7 7 8 7 8 9 10 10 11 12 11 10 9 9 9 9 9 9 9 8 8 7 8 9 10 11 11 11 10 9 nan
nan 10 10 10 11 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 8 9 9 10 10 10 10 10 9 8 7 6 6 5 4 4 4 4 5 5 7 8 9 10 10 10 9 8 8 8 7 7 8 10 11 12 12 12 12 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 9 8 8 9 10 9 8 7 8 9 10 11 11 11 10 10 nan
nan 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 10 9 9 9 9 9 9 9 8 7 6 6 5 5 4 4 4 5 6 7 8 8 9 9 10 10 10 9 8 7 8 8 10 11 13 14 14 14 13 12 12 12 12 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 8 8 8 7 7 8 9 9 10 10 9 9 9 9 9 8 9 10 10 10 9 8 8 9 9 10 11 11 11 10 nan
nan 11 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 9 8 8 8 7 6 6 5 5 5 5 5 5 5 6 7 8 8 8 8 8 9 9 8 8 8 9 9 10 12 14 15 15 15 14 13 12 11 11 11 11 10 9 9 9 10 10 9 9 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 9 9 10 11 11 11 10 nan
nan 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 12 12 11 11 11 12 12 12 12 11 11 9 8 7 7 6 6 5 5 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 8 10 10 11 12 13 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 8 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 10 10 9 9 9 9 9 8 7 6 6 7 8 9 9 9 10 10 10 10 9 9 9 10 10 10 9 8 8 9 10 11 11 10 10 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 10 10 10 10 9 8 7 7 6 5 5 4 4 4 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 9 10 10 11 12 12 13 12 11 11 10 10 9 9 10 10 10 10 10 9 9 8 8 7 7 6 7 7 7 7 8 8 9 9 10 10 9 10 10 10 9 9 9 10 9 8 7 6 6 7 8 9 9 10 10 10 10 10 9 8 8 8 9 9 8 8 9 9 10 10 10 10 9 nan
nan 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 8 8 7 7 8 8 7 7 6 5 4 4 4 4 5 6 6 6 6 6 6 7 7 8 8 7 7 7 7 7 8 9 10 10 10 10 11 11 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 10 10 9 9 9 nan
nan 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 8 8 9 9 10 10 11 12 13 12 11 10 9 10 10 11 12 11 11 11 12 12 12 11 11 10 10 9 9 8 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 5 5 5 5 4 5 5 7 8 9 9 9 10 10 10 11 11 11 11 12 13 14 15 16 14 13 12 12 13 13 12 12 12 12 12 11 11 10 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 10 10 10 9 10 10 11 11 11 11 11 11 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 7 9 9 9 9 10 11 11 11 10 9 9 10 12 14 15 14 14 13 14 14 14 13 13 12 11 11 11 10 10 9 8 8 8 8 7 7 7 7 8 8 9 9 10 9 9 9 9 8 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 10 11 11 11 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 nan
nan 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 7 6 6 6 7 8 9 9 9 9 10 10 10 10 10 10 11 12 13 13 12 11 9 10 12 12 12 12 11 10 10 10 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 9 9 10 9 9 8 9 9 10 10 10 11 11 11 10 9 10 11 12 13 13 12 10 8 7 7 9 10 10 10 9 9 9 10 10 9 9 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 9 9 9 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 9 9 10 10 10 9 9 10 11 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 7 8 8 9 9 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 9 8 9 10 11 10 9 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 11 12 12 13 13 12 13 14 14 13 11 10 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 11 11 10 9 10 11 11 11 11 10 10 10 11 10 9 8 7 7 8 9 10 10 10 10 9 9 9 9 8 8 8 7 6 6 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 15 15 13 12 11 10 10 10 11 10 9 7 7 7 7 7 7 8 9 10 12 13 13 12 11 11 10 9 9 8 8 8 7 7 6 7 8 8 8 8 8 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 nan
nan 11 11 11 12 11 11 11 11 11 12 12 12 12 12 13 14 15 16 17 16 15 14 13 12 11 11 12 12 11 9 8 7 7 7 7 7 8 10 12 13 13 12 11 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 9 9 nan
nan 12 12 12 11 11 11 11 11 11 12 12 13 13 14 15 16 16 16 15 14 12 11 11 11 12 13 13 12 10 9 8 8 8 7 7 6 7 9 10 11 10 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 9 nan
nan 11 11 11 11 11 12 12 12 12 12 13 14 15 16 17 17 16 14 12 11 10 10 11 11 12 13 11 8 7 7 7 8 9 8 7 7 8 8 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 8 8 9 nan
nan 9 9 10 11 12 13 14 14 13 13 13 15 16 17 18 16 14 12 11 11 12 13 13 14 13 11 8 6 5 6 7 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 nan
nan 9 9 10 11 12 13 13 13 12 12 13 13 14 14 14 12 10 10 10 11 13 13 13 12 11 9 6 5 6 6 7 8 9 8 8 8 7 7 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 9 8 7 6 6 5 5 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 nan
nan 10 10 10 10 9 8 7 7 7 7 8 7 6 5 4 4 4 4 3 3 2 1 0 0 1 3 5 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 nan
nan 10 10 10 10 9 8 7 7 7 8 8 7 6 5 4 3 3 3 2 1 -0 -2 -1 -0 1 3 6 7 8 8 8 8 9 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 nan
nan 10 10 11 11 11 10 9 9 9 10 10 9 7 6 5 5 4 4 4 4 3 3 3 4 4 5 5 5 5 6 7 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2297 2288 2254 2211 2176 2161 2168 2183 2205 2233 2261 2289 2319 2354 2389 2411 2401 2380 2371 2369 2368 2369 2379 2402 2420 2355 2350 2360 2408 2503 2641 2846 3161 3454 3545 3619 3658 3619 3534 3492 3492 3526 3451 3327 3240 3180 3147 3156 3167 3204 3254 3276 3274 3268 3304 3381 3401 3300 3296 3300 3263 3200 3109 2982 2830 2689 2609 2595 2604 2598 2558 2479 2387 2378 2399 2402 2374 2328 2349 2412 2410 2344 2271 2167 2029 2022 2142 2297 2402 2427 2388 2263 2122 1978 1885 1865 1876 1870 1902 2040 2108 2178 2257 2348 2447 2545 2568 2590 2538 2270 2493 3026 3442 3588 3642 3702 3702 3542 3270 3036 2820 2551 2350 2185 2055 1957 1903 1848 1755 1669 1674 1756 1686 1637 1601
2513 2511 2472 2415 2367 2352 2366 2375 2386 2419 2453 2473 2501 2535 2541 2505 2460 2436 2432 2441 2467 2513 2572 2622 2658 2649 2687 2729 2765 2814 2918 3118 3381 3617 3657 3694 3725 3720 3686 3653 3608 3540 3423 3328 3287 3267 3252 3255 3269 3298 3320 3326 3322 3323 3346 3387 3418 3374 3352 3317 3242 3126 2980 2827 2694 2606 2573 2575 2589 2593 2555 2459 2359 2391 2500 2490 2377 2326 2395 2499 2541 2544 2345 2178 2077 2085 2203 2375 2501 2521 2470 2347 2205 2083 2019 2003 1991 1952 1959 2192 2302 2389 2460 2507 2553 2634 2725 2578 2464 2334 2548 3005 3380 3503 3462 3440 3423 3264 2995 2740 2552 2401 2276 2163 2069 1975 1931 1880 1805 1798 1986 2131 1855 1731 1703
2680 2673 2635 2573 2526 2525 2555 2572 2580 2637 2680 2698 2709 2712 2683 2613 2524 2475 2487 2523 2580 2667 2770 2861 2951 3011 3043 3064 3087 3121 3170 3262 3461 3621 3663 3700 3723 3710 3667 3615 3547 3461 3364 3295 3258 3252 3268 3284 3304 3318 3322 3311 3299 3303 3325 3358 3393 3363 3317 3231 3096 2934 2781 2668 2590 2563 2536 2523 2526 2524 2477 2388 2333 2398 2483 2415 2251 2223 2338 2491 2634 2616 2403 2275 2233 2254 2364 2526 2620 2621 2580 2426 2292 2197 2139 2096 2045 2075 2188 2405 2475 2480 2495 2577 2764 3030 3019 2793 2675 2611 2712 2968 3206 3277 3214 3165 3121 2949 2697 2475 2339 2276 2241 2176 2090 2001 1932 1884 1864 1913 2093 2061 1855 1752 1721
2786 2790 2764 2709 2676 2690 2724 2739 2756 2796 2844 2874 2871 2835 2774 2690 2585 2506 2533 2604 2702 2842 3021 3191 3302 3341 3316 3274 3244 3250 3260 3234 3443 3569 3600 3625 3627 3588 3523 3462 3405 3359 3328 3295 3274 3282 3314 3348 3366 3357 3322 3284 3262 3267 3294 3321 3332 3294 3217 3108 2964 2810 2690 2626 2580 2568 2514 2466 2439 2418 2383 2348 2369 2483 2521 2401 2263 2257 2403 2608 2718 2647 2486 2406 2378 2388 2477 2629 2721 2765 2664 2523 2414 2353 2326 2294 2241 2292 2417 2536 2598 2610 2590 2621 2803 2924 3080 3067 2984 2918 2935 3015 3059 3032 3033 2989 2909 2751 2559 2410 2330 2272 2266 2239 2184 2097 1991 1901 1877 1957 2368 2064 1812 1706 1658
2858 2887 2874 2846 2829 2833 2843 2850 2868 2889 2923 2948 2942 2900 2829 2745 2639 2555 2592 2696 2841 3029 3251 3452 3567 3548 3441 3335 3308 3302 3277 3324 3434 3512 3530 3530 3513 3469 3404 3351 3342 3331 3354 3360 3369 3396 3432 3449 3438 3393 3335 3289 3268 3271 3284 3286 3257 3196 3112 3006 2885 2777 2703 2667 2660 2656 2613 2554 2499 2447 2400 2388 2465 2544 2549 2477 2407 2404 2506 2699 2890 2856 2718 2586 2520 2531 2617 2753 2861 2897 2817 2652 2542 2499 2478 2468 2478 2519 2560 2578 2597 2621 2600 2549 2679 2870 3094 3192 3175 3108 3054 3021 2948 2907 2935 2907 2813 2669 2565 2546 2438 2367 2285 2244 2199 2123 2016 1912 1857 1886 2042 1862 1740 1710 1721
2923 2988 2988 2979 2967 2950 2933 2923 2930 2951 2966 2965 2943 2894 2832 2777 2666 2637 2693 2816 2987 3191 3410 3610 3718 3661 3534 3438 3406 3430 3478 3518 3528 3517 3479 3446 3416 3388 3379 3401 3435 3473 3489 3504 3526 3546 3552 3539 3499 3438 3388 3351 3336 3328 3310 3278 3222 3151 3069 2987 2914 2857 2812 2768 2782 2785 2768 2729 2666 2577 2476 2420 2526 2564 2549 2532 2529 2558 2654 2830 2985 2819 2807 2752 2734 2780 2854 2920 2960 2955 2826 2622 2557 2584 2590 2593 2635 2664 2664 2641 2624 2626 2617 2581 2672 2881 3068 3144 3106 3016 2938 2867 2793 2797 2815 2780 2680 2553 2506 2638 2550 2440 2331 2236 2159 2084 1997 1911 1841 1799 1754 1727 1722 1751 1820
2973 3060 3085 3092 3081 3052 3019 2996 2993 3009 3010 2990 2950 2900 2848 2804 2761 2767 2834 2964 3140 3334 3524 3689 3791 3769 3693 3632 3619 3645 3648 3565 3494 3494 3491 3461 3436 3450 3497 3529 3558 3598 3593 3594 3624 3653 3647 3621 3581 3529 3487 3452 3421 3383 3329 3270 3215 3159 3092 3044 3019 3002 2979 2940 2920 2905 2878 2832 2762 2653 2514 2410 2460 2513 2546 2583 2631 2683 2747 2851 2924 2814 2788 2838 2933 3013 3024 2962 2843 2693 2559 2481 2520 2626 2717 2817 2930 2726 2655 2642 2618 2597 2614 2603 2616 2716 2834 2810 2698 2615 2592 2556 2567 2604 2615 2566 2469 2404 2473 2622 2617 2554 2435 2286 2153 2059 1991 1904 1815 1750 1704 1669 1656 1684 1748
2996 3087 3133 3162 3168 3152 3127 3108 3096 3091 3075 3042 3000 2959 2926 2907 2906 2941 3023 3155 3320 3495 3660 3806 3920 3890 3844 3795 3746 3657 3470 3194 3081 3386 3474 3493 3499 3514 3543 3576 3602 3635 3644 3648 3685 3726 3728 3703 3673 3626 3580 3534 3486 3432 3373 3316 3269 3232 3185 3150 3121 3085 3045 3029 3022 2988 2939 2876 2791 2672 2523 2385 2326 2359 2453 2562 2659 2722 2746 2768 2727 2673 2666 2737 2854 2952 2964 2861 2717 2607 2534 2505 2557 2671 2780 2872 2848 2630 2532 2535 2554 2548 2540 2508 2458 2453 2412 2307 2229 2257 2340 2402 2442 2461 2476 2482 2453 2436 2600 2716 2699 2639 2533 2394 2248 2115 2013 1868 1736 1626 1543 1486 1461 1470 1472
2998 3087 3149 3196 3227 3241 3241 3237 3225 3191 3156 3118 3086 3063 3053 3058 3079 3134 3226 3354 3501 3648 3794 3930 3957 3946 3904 3838 3746 3508 3016 2440 2570 3301 3459 3480 3491 3512 3539 3564 3583 3618 3630 3653 3706 3758 3770 3744 3711 3664 3620 3587 3562 3538 3513 3491 3475 3446 3399 3345 3278 3198 3119 3077 3066 3003 2926 2843 2741 2616 2476 2324 2199 2182 2283 2440 2553 2571 2530 2453 2403 2372 2370 2391 2458 2607 2791 2746 2656 2595 2552 2552 2613 2699 2732 2747 2637 2499 2416 2400 2412 2433 2527 2690 2409 2301 2209 2097 2070 2191 2350 2494 2510 2452 2413 2415 2452 2543 2679 2779 2798 2703 2571 2449 2318 2145 1945 1733 1571 1416 1294 1210 1139 1090 1023
3022 3089 3149 3202 3250 3288 3312 3319 3311 3267 3218 3183 3161 3149 3149 3163 3200 3273 3380 3520 3669 3799 3888 3931 3935 3925 3873 3779 3650 3434 3141 2935 2983 3289 3406 3440 3465 3502 3530 3517 3506 3559 3588 3621 3678 3738 3764 3745 3713 3679 3654 3652 3661 3665 3659 3649 3670 3664 3630 3573 3497 3407 3313 3221 3131 3025 2900 2765 2628 2501 2396 2276 2164 2136 2197 2305 2366 2322 2217 2065 1990 2021 2071 2091 2192 2519 2976 2909 2844 2806 2764 2733 2726 2718 2667 2605 2505 2434 2392 2376 2421 2646 3279 3469 2734 2252 2001 1946 2119 2399 2554 2673 2624 2491 2372 2294 2245 2249 2395 2580 2743 2712 2598 2486 2321 2042 1662 1453 1310 1161 1018 900 788 704 666
3078 3103 3135 3175 3219 3264 3298 3309 3302 3258 3220 3199 3187 3182 3188 3216 3275 3340 3474 3609 3708 3805 3893 3906 3871 3820 3723 3614 3522 3421 3318 3287 3299 3353 3385 3403 3422 3424 3392 3354 3372 3454 3542 3599 3643 3689 3725 3726 3698 3676 3671 3679 3691 3698 3692 3686 3711 3715 3704 3678 3647 3610 3546 3429 3242 3078 2912 2743 2590 2478 2406 2294 2196 2147 2151 2176 2172 2105 1990 1853 1756 1753 1812 1849 1931 2239 2743 2977 3095 3123 3054 2927 2801 2703 2661 2609 2573 2558 2517 2468 2448 2418 2517 2972 2668 2245 1997 2025 2321 2630 2716 2723 2609 2444 2301 2211 2157 2112 2068 2285 2534 2630 2578 2456 2259 1879 1398 1193 1064 925 787 662 552 505 473
3134 3126 3127 3136 3156 3185 3209 3217 3207 3186 3174 3171 3172 3173 3176 3195 3244 3290 3477 3616 3711 3778 3812 3792 3728 3618 3526 3466 3399 3318 3257 3249 3254 3289 3296 3274 3237 3201 3179 3191 3283 3410 3537 3590 3603 3628 3670 3689 3652 3618 3607 3599 3594 3589 3567 3539 3533 3527 3522 3529 3565 3619 3629 3515 3249 3019 2849 2716 2598 2501 2447 2350 2260 2180 2120 2072 2015 1932 1830 1722 1615 1569 1579 1596 1671 1953 2365 2800 3138 3282 3186 2952 2755 2652 2665 2684 2712 2722 2677 2586 2493 2402 2396 2451 2431 2328 2254 2341 2577 2686 2713 2653 2506 2337 2215 2164 2154 2195 2179 2254 2325 2324 2267 2207 1974 1653 1296 1065 885 726 609 529 448 377 338
3164 3141 3124 3107 3104 3108 3111 3110 3105 3104 3111 3125 3135 3141 3144 3158 3227 3331 3487 3620 3716 3757 3732 3647 3526 3427 3383 3334 3264 3214 3223 3264 3256 3233 3216 3198 3169 3125 3096 3147 3287 3421 3528 3591 3620 3630 3632 3625 3554 3484 3442 3394 3336 3275 3203 3126 3072 3032 3040 3096 3194 3307 3372 3274 3005 2756 2603 2526 2476 2439 2451 2383 2307 2234 2154 2060 1952 1846 1742 1636 1552 1487 1451 1445 1499 1710 2171 2633 2984 3186 3170 2984 2793 2703 2756 2808 2827 2835 2808 2709 2558 2485 2512 2577 2625 2641 2680 2776 2804 2715 2638 2516 2354 2209 2134 2121 2128 2166 2154 2075 1940 1818 1778 1846 1598 1417 1209 992 752 526 416 349 341 285 227
3158 3139 3119 3093 3074 3055 3038 3028 3029 3042 3063 3086 3102 3112 3123 3136 3172 3335 3499 3620 3686 3676 3597 3487 3397 3321 3242 3154 3088 3091 3153 3191 3159 3143 3135 3124 3110 3069 3020 3089 3261 3399 3486 3551 3597 3584 3487 3399 3267 3132 3017 2884 2733 2583 2433 2305 2219 2193 2291 2468 2655 2803 2872 2800 2621 2434 2316 2269 2260 2269 2348 2345 2308 2262 2202 2104 1969 1856 1761 1639 1553 1483 1440 1424 1431 1485 1911 2346 2716 2979 3094 3050 2915 2858 2862 2842 2791 2739 2681 2595 2532 2521 2553 2640 2736 2803 2836 2846 2783 2662 2512 2343 2180 2067 2029 2020 2039 2028 1896 1670 1461 1362 1386 1455 1329 1191 1024 818 564 309 228 180 248 216 133
3148 3138 3119 3093 3066 3033 3002 2988 2998 3026 3051 3069 3083 3094 3108 3137 3196 3347 3503 3591 3604 3539 3423 3313 3248 3128 3023 2969 2958 2970 2987 2993 2986 3024 3060 3061 3045 3011 2971 3026 3183 3355 3466 3517 3485 3339 3089 2846 2600 2357 2135 1918 1711 1520 1330 1188 1109 1134 1346 1663 1962 2184 2330 2375 2287 2192 2157 2189 2252 2309 2351 2393 2399 2352 2253 2136 2041 1965 1870 1756 1670 1654 1687 1736 1800 1823 2113 2399 2659 2869 2984 2976 2892 2861 2769 2656 2548 2457 2388 2366 2411 2471 2490 2556 2654 2725 2733 2699 2652 2579 2452 2270 2087 1965 1905 1865 1838 1753 1572 1321 1105 1049 1127 1069 953 849 682 466 272 139 89 57 30 16 18
3143 3135 3120 3103 3077 3040 3002 2981 2993 3036 3060 3068 3074 3085 3110 3161 3249 3383 3487 3508 3437 3312 3180 3082 3043 2917 2844 2829 2821 2807 2802 2829 2881 2967 3028 3063 3072 3057 3036 3061 3195 3388 3490 3452 3229 2855 2433 1982 1590 1265 993 785 638 527 417 340 316 349 529 809 1089 1312 1530 1758 1745 1712 1735 1820 1951 2103 2211 2349 2495 2613 2634 2537 2391 2257 2148 2086 2087 2160 2261 2346 2438 2496 2622 2706 2791 2873 2921 2915 2804 2638 2464 2320 2215 2141 2093 2084 2162 2223 2268 2344 2450 2537 2570 2572 2568 2575 2491 2328 2148 1978 1816 1703 1611 1509 1362 1166 960 814 708 589 514 443 332 198 96 47 24 10 3 1 0
3119 3111 3107 3105 3091 3063 3031 3015 3029 3073 3093 3098 3099 3107 3130 3185 3284 3420 3451 3395 3262 3131 3034 2949 2850 2767 2737 2717 2687 2669 2683 2720 2784 2885 2977 3058 3124 3165 3183 3213 3321 3427 3423 3206 2776 2207 1590 1033 637 376 206 115 80 66 53 44 53 63 126 242 372 483 623 763 800 818 859 936 1049 1196 1395 1683 2038 2387 2655 2786 2725 2568 2475 2495 2573 2669 2725 2688 2617 2569 2597 2643 2703 2746 2741 2689 2476 2196 1962 1809 1725 1672 1615 1568 1606 1642 1716 1871 2070 2231 2315 2332 2323 2340 2307 2233 2139 1986 1755 1554 1409 1299 1187 1056 903 746 617 495 383 294 218 141 71 36 17 5 1 1 1
3088 3087 3087 3094 3093 3083 3066 3067 3106 3159 3172 3164 3159 3166 3195 3257 3352 3448 3401 3283 3131 3009 2915 2809 2704 2654 2631 2600 2571 2567 2592 2629 2699 2805 2903 2984 3055 3122 3191 3285 3365 3348 3138 2704 2099 1425 808 358 146 53 16 4 1 2 2 2 4 5 15 35 61 91 129 136 147 164 192 234 285 338 456 749 1174 1607 1957 2207 2396 2521 2561 2588 2564 2491 2372 2192 2034 1937 1956 2094 2257 2343 2317 2218 1940 1528 1194 1022 987 987 917 883 902 996 1162 1377 1595 1758 1849 1864 1836 1818 1835 1892 1956 1900 1635 1335 1120 983 890 829 778 705 668 603 518 430 344 255 168 106 61 28 9 3 2
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3040 3057 3104 3165 3193 3221 3278 3347 3397 3405 3377 3351 3337 3307 3268 3218 3149 3071 3006 2944 2882 2814 2732 2637 2546 2456 2379 2330 2315 2341 2411 2515 2626 2738 2729 2600 2330 1911 1388 868 446 184 62 19 5 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 1 0 1 5 12 18 16 5 3 3 3 5 10 16 21 6 1 0 0 0 0 0 0 0 0 0 0 0 1 1 8 30 76 151 231 266 214 98 28 3 0 0 0 0 0 0 1 3 6 9 9 31 63 96 120 139 183 284 312 275
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1132 1192 1370 1691 2108 2611 3138 3551 3736 3674 3477 3393 3300 3249 3244 3265 3282 3269 3210 3116 3028 2943 2811 2568 2160 1554 933 508 285 200 171 138 98 76 74 78 81 77 64 39 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 1 1 1 1 1 1 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 1 0 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0
607 607 642 754 983 1410 2053 2862 3524 3725 3463 3295 3201 3173 3197 3246 3290 3301 3258 3161 3053 2880 2576 2108 1507 897 526 330 245 212 191 166 142 140 151 165 170 163 139 83 32 9 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 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 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0
274 270 285 327 409 574 952 1700 2675 3377 3473 3313 3157 3100 3129 3198 3258 3275 3229 3110 2914 2572 2098 1544 987 530 344 273 265 256 232 226 227 232 243 253 248 221 177 92 32 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 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 1 1 0 0 0 0 0 0
110 109 109 125 156 186 301 676 1404 2282 2965 3223 3196 3122 3092 3092 3092 3079 3077 2953 2644 2188 1665 1157 733 463 360 331 347 359 354 358 354 343 333 312 266 198 133 51 13 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 2 2 2 2 1 0 0 0 0 1 1 0 0 0 0 0 1
38 42 46 50 51 53 81 189 471 974 1650 2347 2793 2964 3081 3150 3167 3134 3054 2780 2343 1850 1383 989 689 533 475 464 487 514 524 519 503 446 345 255 174 97 46 12 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 1 2 3 3 3 3 3 2 1 1 1 0 0 0 0 0 1 1 1 2
12 14 16 18 18 16 20 42 105 237 497 947 1507 1954 2305 2569 2761 2866 2798 2455 1991 1543 1194 951 779 682 645 644 665 684 676 626 528 369 228 126 60 21 6 1 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 0 0 0 0 0 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 2 2 2 2 3 2 1 1 1 2 2 1 1 1 4 5
3 2 3 6 11 6 2 6 19 45 102 220 430 716 1033 1346 1656 1933 2072 1960 1681 1372 1134 982 883 835 830 829 818 781 701 564 370 196 90 34 9 2 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 2 3 4 4 3 3 2 5 10 11
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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 0 0 0 0 0 0 0 0 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 3 5 5 6 8 9 11 11 13
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3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 11 19 22
4 4 3 3 3 2 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 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 1 2 2 1 0 0 0 1 1 1 1 1 2 3 3 2 1 0 0 2 6 12 19 22
4 4 4 4 4 3 3 3 2 2 2 1 1 1 1 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 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 1 1 1 1 1 1 0 2 3 3 3 6 6 9 10 10 6 3 2 1 4 8 13 19 24
4 5 5 5 5 4 4 4 4 3 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 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 1 1 2 3 4 3 1 2 3 4 4 9 11 13 14 15 13 9 7 7 10 14 16 16 22
4 5 5 5 5 5 5 4 4 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 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 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 1 2 4 2 0 1 2 3 5 10 12 12 12 14 19 18 21 24 25 24 23 21 20
4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 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 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 7 11 12 11 9 10 14 18 23 26 27 26 25 22 18
4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 9 6 4 3 6 10 13 19 26 24 23 19 15
3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 4 7 6 9 18 22 21 16 11
4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 1 1 1 1 1 2 2 2 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 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 5 9 12 8 1 1 3 3 3 8 15 17 12 7
6 5 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 2 2 2 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 1 3 5 7 8 9 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 6 14 18 15 2 0 0 0 2 7 14 17 14 9
6 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 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 3 8 12 15 4 0 0 1 4 12 18 21 19 14
7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 1 0 0 0 2 11 16 18 18 16
8 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 7 8 7 6 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 8 15 18 18 15
10 9 8 8 7 6 5 4 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 2 1 1 3 5 6 7 7 7 9 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 1 0 0 2 7 13 16 14 11
13 12 12 10 9 7 6 5 4 3 3 4 4 3 3 3 3 2 2 3 2 3 4 4 4 3 2 1 0 0 0 0 0 0 1 1 1 1 1 2 5 8 9 8 7 6 4 3 2 3 5 6 6 5 5 8 10 10 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 13 2 1 4 9 13 14 11 9
15 15 14 13 12 11 9 9 8 7 6 5 5 5 4 3 3 3 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 1 2 3 4 6 9 14 18 19 15 8 5 3 2 2 3 4 5 4 3 2 1 5 9 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 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 7 12 3 2 6 10 12 12 10 11
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