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 10 9 10 11 11 10 10 9 9 10 10 10 9 9 8 8 8 8 8 7 6 6 6 7 7 7 6 6 6 6 7 7 8 8 7 7 7 7 8 9 7 5 5 6 7 8 7 6 6 6 5 5 6 6 6 6 7 7 7 6 5 6 7 7 7 7 7 7 7 7 8 8 9 9 10 11 13 13 13 13 12 10 9 8 9 11 12 12 10 9 10 10 10 9 9 9 9 10 9 9 8 8 8 7 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 8 8 8 7 7 6 5 5 5 6 7 8 7 5 4 4 4 5 5 5 5 5 5 4 5 5 6 7 7 7 7 6 7 7 9 11 12 11 10 8 7 7 8 8 9 9 8 8 7 7 8 8 8 8 7 7 6 nan
nan 8 8 10 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 8 8 8 7 6 6 7 8 8 8 8 6 5 5 6 7 7 7 7 8 7 7 7 7 8 8 8 8 7 6 6 7 7 8 9 10 11 12 12 12 12 12 11 10 10 10 11 12 12 11 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 9 10 10 10 8 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 7 7 6 6 7 7 8 8 8 7 6 6 7 7 6 6 5 5 4 4 5 6 7 7 7 7 7 7 7 8 8 9 10 9 8 7 8 8 8 9 9 8 8 7 7 7 8 8 8 7 7 6 nan
nan 7 7 8 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 7 7 8 9 9 8 6 6 7 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 9 8 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 7 6 5 5 5 5 5 6 7 7 7 6 7 7 7 6 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 10 10 9 9 7 7 8 9 8 8 7 8 8 7 6 6 7 7 6 6 8 9 9 8 8 9 9 9 9 10 11 11 11 11 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 9 10 10 10 10 9 10 11 11 11 10 9 8 8 8 8 8 9 10 11 10 9 8 7 6 7 7 8 8 9 9 9 10 10 10 11 11 11 10 9 8 8 8 8 8 8 9 10 10 11 12 12 11 10 9 8 7 6 5 5 5 5 5 6 7 6 5 5 6 7 7 6 4 4 5 7 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 nan
nan 5 6 7 8 8 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 7 7 8 9 10 12 12 12 12 11 9 7 7 9 10 9 8 7 8 8 6 4 6 7 7 6 6 8 10 10 10 10 10 11 11 12 13 13 14 14 13 11 9 9 9 10 10 11 11 11 11 11 10 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 8 8 9 9 8 9 9 10 11 10 10 9 9 9 9 8 8 8 9 10 11 11 9 8 6 5 5 6 7 8 8 9 9 10 10 11 12 12 11 10 9 8 7 7 7 7 8 8 9 10 11 11 12 12 11 9 8 7 6 6 6 6 6 6 6 6 5 4 3 4 6 7 7 5 4 5 7 8 9 9 8 8 8 7 8 9 9 8 7 7 8 8 8 7 6 nan
nan 5 6 7 8 9 9 10 10 10 9 9 9 8 8 8 7 7 7 8 7 7 7 8 10 12 14 15 14 13 11 9 7 7 9 10 10 9 8 8 8 6 4 5 6 7 6 6 8 10 11 11 11 11 12 14 15 15 15 15 15 14 12 11 11 11 11 11 12 12 12 11 10 10 10 10 10 9 9 9 10 10 10 10 11 12 11 10 9 9 8 8 8 7 7 7 8 10 10 10 9 9 9 9 9 8 8 8 9 9 10 11 11 10 8 7 6 5 6 7 7 8 8 9 9 9 10 11 11 11 10 9 8 8 7 7 7 7 7 8 9 10 11 11 12 11 9 8 7 7 6 6 7 7 7 8 7 6 4 2 3 5 7 7 7 6 6 7 8 8 9 10 10 9 8 8 9 8 8 7 7 7 7 7 7 6 nan
nan 6 6 7 8 10 11 11 11 11 11 11 10 10 9 8 8 7 7 7 7 6 7 9 11 13 15 16 14 13 11 10 9 9 9 10 10 9 8 8 8 7 5 5 5 6 7 8 9 11 11 11 11 11 12 13 14 13 13 13 13 13 12 12 12 12 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 9 11 12 12 11 10 8 8 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 9 10 10 10 10 11 11 10 9 8 7 7 6 6 7 7 8 8 8 9 9 10 10 10 10 9 9 9 8 7 7 6 6 7 8 9 10 11 11 11 10 9 8 7 7 7 8 8 9 9 9 8 5 3 4 6 7 7 8 8 8 8 7 8 9 10 10 9 9 8 8 7 7 6 6 7 6 6 6 7 nan
nan 7 7 8 9 11 12 13 13 13 12 12 12 12 12 11 10 9 9 9 8 8 9 11 12 14 15 15 14 12 11 11 11 10 10 10 9 9 8 9 8 7 6 5 5 7 9 10 11 11 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 7 9 11 12 12 11 10 9 8 8 8 8 9 9 10 10 9 8 8 8 9 9 9 10 11 11 10 10 10 10 10 10 9 9 8 8 7 6 6 7 8 8 8 8 8 9 10 10 10 10 11 10 9 8 7 6 6 7 8 9 9 9 10 11 12 12 11 10 9 8 7 7 9 10 9 8 6 6 7 8 7 7 7 8 8 8 7 7 8 8 9 8 8 8 8 7 6 6 6 7 6 6 6 7 nan
nan 9 9 9 10 11 13 13 14 14 13 13 13 14 14 13 13 14 14 13 12 11 12 12 13 14 15 14 12 12 12 12 12 11 11 10 10 9 9 8 8 8 7 6 7 9 12 13 11 10 8 7 6 5 4 3 4 4 5 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 9 10 11 12 12 11 11 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 10 10 10 9 8 8 8 9 9 9 8 8 7 7 7 8 9 9 9 8 8 8 9 9 10 10 11 11 10 9 8 7 6 7 7 8 8 8 9 12 14 14 13 12 11 9 7 6 7 8 8 8 8 9 9 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 nan
nan 11 11 11 11 12 13 13 14 14 13 13 13 13 13 14 15 16 16 16 15 14 13 13 14 14 15 15 13 13 13 13 13 12 12 13 12 12 11 9 9 8 9 9 10 12 14 13 11 9 7 6 5 5 5 5 5 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 6 6 7 8 9 10 10 10 11 11 12 13 12 11 11 10 8 8 9 8 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 10 11 12 11 9 8 7 7 7 7 7 7 8 11 14 14 13 13 12 10 8 6 7 7 8 10 11 11 11 9 7 5 4 5 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 nan
nan 12 12 12 12 11 12 12 13 13 12 12 11 11 10 11 12 12 13 14 14 13 12 12 13 14 15 15 15 16 16 16 15 14 14 15 15 15 13 12 11 11 11 12 13 14 13 12 11 9 7 7 8 8 9 9 8 6 5 4 4 4 5 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 7 8 8 9 9 8 8 9 10 11 12 13 13 12 10 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 10 12 12 10 9 8 7 7 7 7 7 8 10 11 12 13 13 14 13 11 10 9 10 11 12 13 12 11 8 6 4 4 5 6 6 6 6 7 8 8 7 6 7 8 9 9 9 8 8 8 9 9 9 nan
nan 12 12 12 12 11 11 11 12 12 12 11 10 10 9 9 9 9 10 11 12 13 13 14 14 15 15 16 16 16 17 17 17 16 16 17 17 17 16 15 15 15 14 14 14 14 14 12 10 7 7 8 8 9 10 10 9 7 5 4 4 5 6 7 7 6 6 7 7 7 7 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 8 9 10 11 13 12 10 9 10 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 9 9 9 9 9 8 8 7 7 8 9 10 10 10 10 9 9 9 9 10 11 11 10 9 8 8 7 7 8 8 9 9 10 12 13 15 14 13 13 13 13 14 15 15 13 10 8 6 5 5 6 6 5 5 5 8 9 8 7 6 7 8 8 8 7 7 7 8 9 10 10 nan
nan 10 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 13 14 16 17 17 17 16 15 14 15 16 16 17 17 17 17 17 17 17 16 15 15 15 14 14 14 14 12 8 6 6 7 7 8 9 10 9 8 6 5 5 6 7 7 7 6 6 6 7 8 9 11 11 9 7 7 7 8 8 9 9 8 7 6 6 6 6 7 7 8 10 11 11 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 10 10 10 9 8 7 7 8 9 10 10 11 11 11 11 10 10 9 10 10 10 9 8 7 7 7 7 7 8 8 9 10 11 12 13 13 13 14 15 16 17 16 15 12 10 8 8 8 8 7 6 5 6 9 11 10 9 8 8 7 7 7 7 7 7 8 9 9 9 nan
nan 9 10 10 10 11 11 11 11 12 12 12 11 11 11 12 13 13 13 13 13 14 14 14 14 14 14 13 13 14 14 14 14 15 16 16 16 16 15 14 13 13 13 13 14 14 12 10 7 5 6 6 7 8 9 11 11 9 7 6 6 7 8 8 7 6 6 6 7 9 12 12 10 8 7 7 8 9 10 11 11 10 8 7 6 5 5 6 7 9 10 10 10 9 9 8 9 8 9 9 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 8 8 8 9 10 10 11 12 12 12 11 10 10 10 10 10 9 8 7 6 6 6 6 7 7 8 8 8 8 9 10 10 12 14 16 16 16 16 15 14 13 11 10 9 8 7 6 7 9 10 9 7 7 7 7 8 9 9 10 9 9 8 7 6 nan
nan 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 10 11 11 12 12 11 11 12 14 15 14 14 13 12 12 13 13 14 14 13 11 9 6 5 6 7 8 9 11 12 12 10 8 7 7 8 9 9 8 7 6 6 8 10 12 10 9 7 7 8 9 10 11 12 12 10 8 7 6 6 6 7 8 10 10 10 10 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 10 10 10 9 9 9 9 10 11 11 11 11 10 10 9 9 10 10 9 8 7 6 6 6 6 6 6 7 8 8 7 7 7 8 9 10 11 12 13 14 15 15 14 12 11 10 9 8 7 7 8 7 5 3 2 4 6 8 9 10 11 10 9 8 7 6 nan
nan 9 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 12 13 12 12 12 12 13 14 14 14 14 13 11 9 7 6 8 9 11 12 13 14 13 10 8 8 8 10 10 9 8 8 7 8 9 9 9 8 7 7 7 8 9 11 12 12 11 8 8 8 9 8 8 8 9 10 10 11 10 10 9 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 8 9 10 11 11 10 10 9 9 9 9 9 10 10 11 10 9 9 9 10 9 9 8 7 7 7 7 7 8 8 8 9 9 8 8 7 8 7 7 7 8 10 10 11 12 12 12 12 11 10 9 8 8 6 3 1 -1 0 4 7 9 10 9 9 8 8 7 7 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 12 12 12 12 12 12 12 13 14 14 14 14 13 12 10 8 8 10 12 14 16 18 17 13 10 8 8 9 10 10 10 10 9 9 9 9 9 8 7 7 7 7 8 9 11 11 10 9 8 8 10 10 10 9 9 9 9 10 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 7 8 8 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 11 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 11 12 13 12 11 10 10 9 7 5 2 1 2 4 7 9 10 8 7 6 6 7 7 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 13 13 14 14 14 13 11 10 10 12 14 17 18 19 16 11 9 8 8 9 10 9 10 10 10 10 10 10 10 9 8 7 8 8 8 9 10 10 9 8 6 6 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 8 8 10 11 12 13 12 12 11 10 9 7 5 5 6 7 9 10 11 10 8 7 6 7 7 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 13 14 15 15 14 14 13 13 14 15 16 16 15 12 9 8 8 8 9 9 9 10 11 11 11 11 11 11 10 9 9 9 8 8 8 9 10 9 6 3 2 2 3 4 4 5 6 7 7 7 7 8 9 9 10 10 9 9 10 10 10 9 9 8 8 8 7 7 7 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 11 11 10 10 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 8 8 8 9 9 9 10 11 12 12 12 11 11 10 9 8 8 8 9 10 10 10 10 9 7 7 7 8 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 13 14 15 16 16 16 16 15 15 15 14 14 12 10 8 7 8 8 9 10 10 11 12 12 13 13 13 13 12 11 11 11 11 10 10 9 10 10 7 3 1 1 2 3 3 4 6 7 8 6 5 4 5 6 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 10 9 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 nan
nan 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 12 12 13 13 13 12 12 12 12 11 12 12 13 14 15 15 16 16 16 16 16 15 14 13 11 9 7 5 5 7 8 9 10 11 13 14 15 16 17 16 15 15 15 14 14 14 14 13 13 13 12 8 4 2 3 5 5 5 6 7 9 9 7 5 4 3 3 4 6 8 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 8 9 9 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 9 8 8 8 7 7 8 8 9 9 8 8 8 8 7 7 7 8 9 9 10 10 9 8 8 9 9 9 8 8 7 6 6 nan
nan 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 13 12 12 11 11 11 11 11 12 12 13 14 14 14 15 15 16 16 15 13 11 9 7 6 5 5 6 7 8 10 12 14 16 18 20 20 19 19 19 18 18 18 18 18 17 18 19 18 15 10 7 7 7 7 7 8 9 9 9 8 7 6 5 3 3 5 7 8 9 8 7 7 7 7 7 7 8 8 9 10 10 11 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 11 12 12 12 11 11 11 12 12 12 12 12 11 10 11 12 12 13 12 12 11 11 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 8 6 5 6 nan
nan 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 13 14 14 14 13 12 10 8 6 5 6 6 6 5 6 8 11 14 16 18 20 21 20 20 20 19 19 20 20 19 17 18 20 22 21 17 12 10 9 8 9 10 9 8 8 9 9 9 7 5 4 5 6 8 8 8 6 6 6 7 8 8 9 9 10 11 11 12 12 11 10 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 9 11 11 11 11 11 12 12 12 12 12 12 12 10 10 10 11 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 nan
nan 10 10 10 10 11 11 11 11 10 10 9 10 10 10 10 10 9 9 9 9 9 10 11 11 12 12 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 7 6 5 5 4 4 4 5 7 9 12 14 16 18 18 17 16 16 16 16 16 17 15 13 13 15 19 20 19 15 12 10 9 10 10 10 9 9 9 10 9 8 6 5 5 6 7 9 8 8 7 7 7 8 9 10 10 10 10 11 11 11 11 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 9 8 7 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 7 6 6 7 nan
nan 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 10 10 10 9 9 8 8 8 8 7 7 6 5 3 4 5 6 7 8 8 9 11 12 12 12 10 9 9 9 9 10 9 8 8 9 11 14 14 14 11 10 10 11 11 10 9 9 9 9 9 8 7 6 5 6 7 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 9 9 10 10 10 9 8 8 8 9 11 11 10 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 8 7 7 7 nan
nan 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 11 12 13 13 12 12 12 11 11 11 11 11 10 10 9 9 10 10 10 10 10 9 9 8 7 7 7 8 8 8 7 6 7 8 8 8 7 6 6 7 7 8 7 6 5 4 3 4 5 6 7 6 6 7 8 9 10 9 9 10 11 11 10 9 9 9 9 9 8 8 7 6 6 7 8 9 8 8 7 8 8 9 8 8 7 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 10 9 9 9 9 10 10 10 9 8 7 9 10 10 10 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 11 11 10 9 8 8 9 9 9 8 8 7 7 nan
nan 9 8 9 9 10 10 11 11 11 11 11 12 11 11 10 9 9 9 9 9 9 9 10 10 11 13 13 14 13 13 12 11 10 10 11 11 10 10 9 9 10 11 11 11 11 11 11 10 10 10 9 9 10 11 11 10 10 9 9 8 7 7 6 6 6 5 5 5 4 2 2 3 5 7 8 8 7 6 6 7 9 10 10 11 11 10 9 9 9 9 8 8 8 8 7 6 5 6 8 8 8 7 7 6 7 8 9 9 8 7 6 6 7 8 8 8 8 8 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 8 8 8 9 10 10 10 9 8 9 9 10 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 8 8 8 7 7 nan
nan 9 9 9 9 9 10 11 11 12 12 12 12 12 11 10 10 9 9 9 9 10 10 10 11 12 12 13 14 14 14 13 11 11 10 10 10 10 9 9 10 10 11 12 13 13 13 14 14 15 14 13 12 12 13 13 12 11 9 8 8 8 8 7 6 4 4 4 6 5 4 5 6 8 10 10 10 9 8 8 9 11 11 12 12 11 10 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 10 10 9 9 9 10 10 10 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 11 10 9 9 8 8 8 9 9 9 8 8 8 8 nan
nan 9 9 9 9 9 10 11 12 13 13 13 13 12 11 11 10 9 9 9 9 10 10 11 11 11 12 12 12 13 13 12 12 11 11 10 10 10 9 9 9 10 11 12 13 14 15 17 17 17 16 14 13 12 12 11 12 12 11 10 9 9 8 7 5 3 2 4 6 7 7 7 9 11 12 12 12 11 11 11 13 14 14 13 12 10 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 11 11 11 10 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 10 10 10 10 9 8 8 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 nan
nan 9 9 9 9 9 10 11 12 13 14 13 13 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 12 14 16 18 19 18 15 13 11 10 10 10 12 12 12 11 11 10 8 6 4 3 3 5 7 8 8 8 8 10 11 12 13 13 15 16 17 16 15 14 12 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 9 10 10 10 10 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 nan
nan 8 9 9 9 9 10 11 12 13 13 13 12 11 10 10 9 9 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 13 15 17 17 16 14 12 10 10 10 11 12 12 12 11 11 10 10 9 7 6 6 8 9 9 9 8 8 9 10 11 13 15 17 19 17 16 15 13 12 11 10 9 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 6 7 7 6 6 6 7 8 8 8 8 8 8 9 8 8 7 6 6 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 7 8 8 8 nan
nan 9 9 9 9 9 9 10 11 12 12 12 11 10 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 11 12 13 14 14 13 11 10 9 10 11 13 13 13 12 11 10 11 12 12 12 11 10 10 10 10 9 9 9 9 9 11 12 15 17 17 14 13 13 13 13 12 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 10 10 9 8 7 8 8 9 nan
nan 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 13 14 13 11 9 7 8 9 11 13 13 12 11 11 10 11 13 15 15 15 13 11 10 10 10 10 10 10 10 11 12 13 13 12 10 9 10 10 11 11 10 10 10 10 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 9 8 8 8 9 10 10 9 9 9 9 10 10 10 10 9 9 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 8 9 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 9 8 7 6 7 7 7 8 8 8 8 9 8 8 8 8 7 7 7 8 8 9 9 9 10 9 9 9 9 9 10 12 13 15 15 14 11 8 7 7 9 11 12 12 11 11 10 10 11 13 15 16 17 16 14 12 12 11 11 11 12 12 11 11 11 10 9 7 7 7 7 7 8 10 12 13 12 11 10 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 8 9 10 11 10 9 9 9 9 10 10 9 9 9 9 10 11 11 12 11 10 9 9 9 9 10 10 11 10 10 11 11 10 10 10 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 10 10 10 9 9 10 13 15 17 17 14 10 9 8 8 9 10 10 11 11 10 10 10 11 12 13 14 15 16 15 14 13 12 11 11 11 12 12 12 12 11 10 9 8 8 7 7 9 12 14 14 12 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 10 10 9 10 10 10 11 10 10 10 10 10 11 12 11 11 10 10 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 nan
nan 10 10 10 11 11 12 12 12 11 11 12 12 12 12 11 10 10 9 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 8 9 9 10 10 9 9 10 12 15 18 18 16 12 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 13 13 12 12 11 10 10 11 13 14 14 13 12 11 11 10 10 10 11 11 11 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 11 11 11 10 9 9 9 10 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 nan
nan 10 10 10 11 11 12 13 13 13 13 14 15 15 14 14 13 11 10 9 9 9 8 8 8 8 8 8 7 6 5 6 6 7 7 8 8 9 9 9 9 10 12 15 17 18 17 14 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 11 12 14 15 16 15 14 12 11 11 12 12 11 10 8 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 8 9 10 10 10 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 nan
nan 10 10 10 11 11 12 13 13 14 14 15 15 16 15 14 13 12 10 10 10 9 8 8 7 7 8 8 7 6 6 6 6 7 7 8 8 8 8 9 10 12 14 16 17 17 15 12 10 10 10 9 9 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 16 17 16 14 13 12 11 12 12 11 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 7 7 8 9 9 9 10 11 12 12 11 10 9 9 9 9 9 9 10 10 9 8 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 9 9 10 10 11 12 12 12 13 13 14 14 15 15 14 12 11 10 10 9 9 8 8 7 7 7 8 7 7 7 7 7 7 7 7 8 8 9 10 10 11 12 13 15 15 13 11 11 11 10 10 9 9 8 7 7 8 8 9 10 10 11 11 10 10 11 11 11 11 11 11 12 13 13 13 14 15 16 17 17 15 14 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 8 7 6 7 7 7 8 10 12 12 12 12 11 10 10 9 9 9 9 10 11 10 9 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 9 9 9 10 10 11 11 11 11 12 13 13 13 13 13 11 10 9 9 8 8 8 8 8 7 8 8 7 7 7 8 8 8 8 9 10 10 10 9 9 9 9 11 12 12 12 11 11 11 10 10 10 10 10 9 8 8 8 9 10 10 10 11 11 11 11 11 12 11 12 12 12 12 12 12 12 13 13 15 15 15 14 12 10 9 8 9 10 10 11 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 9 7 7 7 6 6 7 9 11 11 11 11 11 10 10 10 9 9 10 11 11 11 10 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 nan
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 6 7 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 9 9 10 11 12 13 12 12 11 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 13 13 14 14 13 12 10 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 9 12 13 13 11 9 7 6 7 7 7 6 7 9 10 11 11 11 11 11 10 10 11 11 11 9 6 5 5 6 8 9 10 10 9 9 10 10 10 9 9 9 9 7 5 4 7 10 12 12 11 11 11 11 9 8 8 9 11 12 12 nan
nan 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 10 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 12 13 12 11 11 12 13 13 13 13 12 12 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 10 11 12 11 10 9 7 7 7 7 7 7 8 9 11 11 11 11 11 11 11 12 12 12 12 11 10 9 10 10 11 10 10 9 8 9 9 9 8 9 9 10 9 7 4 5 7 10 12 12 12 11 11 11 10 9 9 10 11 12 12 nan
nan 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 7 6 7 7 8 8 7 7 8 8 8 8 8 8 7 7 8 9 9 9 10 9 9 8 8 7 7 7 8 8 8 7 7 7 8 9 10 11 11 12 12 12 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 8 8 8 9 10 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 9 8 7 7 7 7 8 9 10 10 11 11 10 10 11 13 13 12 12 11 12 12 13 14 15 14 11 9 8 7 6 6 6 7 8 9 10 9 7 5 5 7 9 12 13 13 12 12 11 11 11 11 11 12 13 12 nan
nan 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 8 7 6 6 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 10 9 8 8 7 7 6 7 7 7 7 8 8 8 9 9 10 11 12 13 13 14 14 13 12 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 10 11 12 13 13 13 12 12 11 10 10 9 9 8 8 8 8 8 8 8 9 10 11 11 12 11 9 8 7 7 7 8 9 9 9 9 10 10 10 10 11 12 12 11 11 11 11 13 14 16 18 17 15 12 9 7 6 6 6 7 8 9 9 8 6 5 5 6 9 12 13 13 13 12 11 11 11 11 11 12 12 11 nan
nan 10 10 9 9 9 8 8 7 7 8 8 9 9 9 9 8 7 5 5 5 6 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 8 7 7 6 6 6 6 7 7 7 8 8 9 10 11 11 12 13 14 14 15 14 13 12 11 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 11 10 9 9 10 10 10 10 11 12 12 12 12 12 12 12 11 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 7 8 8 8 8 8 9 10 10 10 10 11 11 11 10 10 10 11 12 14 17 19 19 19 17 13 11 9 9 9 9 10 10 9 7 6 5 5 7 9 11 13 14 13 12 11 10 10 10 10 10 10 9 nan
nan 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 4 3 4 5 7 8 9 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 9 9 10 11 12 13 13 14 14 15 14 13 12 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 9 10 10 10 10 9 9 9 10 11 12 11 10 9 10 11 11 11 11 11 12 12 11 11 11 12 12 12 11 10 9 9 9 9 9 9 8 8 9 8 6 7 8 10 10 9 8 7 7 7 7 8 9 9 9 10 10 10 10 10 10 10 11 12 13 15 17 18 18 19 18 15 13 12 11 11 11 10 9 8 7 6 6 7 8 9 11 13 14 13 12 11 9 8 8 8 8 7 7 nan
nan 7 7 7 8 9 9 10 10 9 8 7 6 4 3 3 3 3 4 5 6 8 9 10 11 11 11 10 9 9 8 7 7 7 8 8 7 6 6 6 6 7 7 7 7 8 8 9 9 10 10 11 12 12 13 14 14 14 14 14 13 12 11 10 10 10 9 9 8 7 7 7 6 6 7 7 8 8 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 12 11 11 10 10 10 10 9 8 8 8 8 7 6 8 10 12 12 10 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 12 13 13 14 14 14 14 15 14 14 13 12 11 11 10 9 7 6 5 6 7 8 10 10 12 13 13 13 12 10 9 8 7 7 6 5 5 nan
nan 6 5 6 7 9 9 10 10 9 8 7 5 4 3 3 4 5 6 7 8 9 10 11 11 11 11 10 9 9 8 8 8 9 9 9 7 6 5 6 7 8 8 9 9 9 10 10 10 11 11 12 13 13 14 14 14 14 13 12 11 11 10 9 9 9 8 8 7 7 7 6 6 6 6 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 11 11 11 12 12 12 13 13 13 12 11 11 11 11 11 11 10 9 9 9 8 8 7 7 7 8 9 10 12 12 11 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 12 12 12 11 11 11 11 12 11 11 11 11 10 10 8 7 5 4 5 6 8 10 11 12 12 13 14 13 12 10 8 8 7 6 5 4 6 nan
nan 5 5 6 7 8 9 9 8 8 7 7 7 6 6 6 7 8 8 9 9 10 10 11 12 12 11 11 10 9 9 10 10 10 10 9 7 6 7 8 9 10 10 11 11 11 10 11 11 11 12 13 13 13 14 13 13 13 12 11 10 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 12 13 14 14 13 11 11 10 10 10 9 9 9 9 9 8 8 7 8 8 9 11 12 10 8 7 8 8 8 7 7 7 7 7 7 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 6 4 3 3 5 7 9 12 13 13 13 14 15 15 13 10 8 7 7 7 6 6 9 nan
nan 6 6 6 8 8 8 8 8 8 8 8 9 9 9 10 10 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 12 12 10 9 7 8 10 11 12 13 14 13 13 13 12 12 12 12 13 13 13 13 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 8 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 10 11 12 14 14 13 12 11 10 9 9 9 9 9 9 10 10 9 8 8 8 9 11 10 8 5 4 5 7 6 6 6 6 6 6 7 7 8 8 9 10 11 10 10 10 9 9 8 9 9 9 8 7 7 7 6 5 4 3 3 5 7 9 11 13 14 14 15 16 16 16 13 10 7 6 6 7 8 9 11 nan
nan 6 7 8 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 11 11 11 11 11 10 10 9 10 11 12 13 12 11 9 9 11 13 14 16 17 17 17 16 15 15 14 14 13 13 13 12 12 11 11 11 10 10 9 8 8 9 9 10 10 9 9 10 11 12 12 13 12 11 9 7 6 7 9 10 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 13 13 12 10 10 9 9 9 9 10 11 11 10 9 9 8 9 10 9 6 3 1 2 3 4 5 6 6 7 7 7 7 8 9 9 10 10 10 10 10 9 8 8 8 8 8 6 6 5 5 4 3 3 4 5 8 10 11 13 14 15 16 17 16 15 14 12 10 8 7 8 9 9 11 12 nan
nan 5 6 8 9 11 11 10 10 9 9 9 9 9 8 8 9 10 11 12 12 12 12 12 12 10 9 9 9 10 11 11 11 11 10 10 10 12 13 15 17 19 19 19 18 17 16 15 14 14 13 12 11 11 10 10 10 9 9 9 8 8 9 9 10 10 10 10 11 11 12 13 13 13 11 9 8 7 7 8 9 10 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 12 12 12 12 11 10 10 9 9 9 10 11 11 10 9 8 8 8 9 8 6 4 2 0 1 2 4 6 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 7 6 4 4 3 3 3 5 7 9 11 12 12 14 15 17 19 18 16 13 10 9 8 9 9 10 11 12 13 14 nan
nan 4 5 7 9 11 11 11 10 10 9 9 9 8 7 7 8 9 11 12 13 13 13 13 11 10 8 8 8 9 9 10 10 10 10 10 10 11 12 13 15 17 18 18 17 15 13 13 14 13 12 11 11 11 11 11 10 9 9 8 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 10 8 7 7 8 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 9 10 11 11 11 10 10 10 11 11 12 12 12 11 10 9 9 9 10 10 9 8 7 6 6 7 7 8 8 7 5 3 2 2 3 6 8 9 10 11 13 13 12 12 11 10 10 9 8 8 9 9 9 8 5 3 2 2 3 4 6 8 10 11 12 12 13 14 16 17 18 17 14 11 9 8 8 9 10 12 13 15 15 15 nan
nan 6 7 8 9 10 10 11 10 10 9 8 8 8 8 8 8 10 11 12 12 13 13 12 10 9 8 7 8 9 9 9 9 10 10 10 10 11 11 12 13 14 14 13 12 11 11 12 12 13 12 11 11 12 12 11 10 9 9 8 9 10 10 10 11 11 11 11 12 11 11 11 11 11 10 10 9 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 8 6 4 3 4 5 6 7 7 8 9 8 7 6 5 6 7 8 9 10 11 12 12 12 11 11 10 9 8 8 7 7 6 5 2 0 -0 1 3 5 7 9 11 12 12 13 13 15 15 15 14 12 11 10 9 8 8 9 10 11 13 15 16 16 16 nan
nan 8 9 10 10 10 10 10 10 10 9 8 8 8 9 9 10 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 9 10 10 10 9 10 11 11 11 11 11 10 9 9 10 12 12 12 12 11 11 11 11 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 7 7 7 8 9 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 9 8 5 3 3 3 5 6 7 8 9 10 10 9 9 8 9 9 9 9 10 10 10 10 10 10 10 9 8 7 6 5 4 2 -0 -2 -2 -0 3 7 9 11 12 13 13 14 16 18 19 18 16 12 9 7 6 6 8 9 10 11 13 16 18 17 16 14 nan
nan 9 10 11 11 10 10 11 11 10 9 8 8 8 9 10 11 11 10 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 9 8 7 8 9 10 11 10 10 9 8 8 9 11 11 11 10 9 9 9 9 10 10 9 8 7 8 8 10 11 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 6 6 7 8 9 11 11 11 10 10 9 10 11 11 11 11 11 11 10 10 10 9 8 7 5 3 2 1 -0 -1 -1 1 3 6 9 12 13 14 14 15 16 18 20 22 23 22 19 15 12 10 9 9 10 11 12 14 16 18 19 17 15 12 nan
nan 10 11 11 11 11 10 10 10 9 8 8 8 8 9 10 11 11 10 9 9 9 9 10 11 11 11 11 11 10 9 8 7 7 6 5 5 6 8 9 10 10 10 9 8 7 8 9 9 10 9 8 7 7 8 9 9 9 7 7 7 8 9 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 10 11 12 12 13 13 13 13 11 10 10 10 11 12 12 13 13 13 11 11 10 9 7 4 2 -0 -1 -2 -1 0 3 6 9 12 14 15 16 16 17 18 19 20 21 22 22 22 21 20 18 16 14 13 13 13 13 14 16 18 19 18 15 12 11 nan
nan 11 11 11 11 10 10 10 9 9 8 8 8 8 9 10 11 11 11 10 10 9 9 10 12 12 13 13 13 11 9 7 6 5 4 3 4 6 7 8 9 9 8 8 8 8 8 8 8 9 8 7 7 7 7 8 8 8 7 7 7 8 9 9 9 9 10 10 11 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 12 13 15 16 16 16 16 15 13 11 11 11 12 14 14 14 14 14 12 10 9 8 7 4 2 -0 -1 0 2 5 8 13 16 18 19 20 20 20 20 20 20 21 21 20 18 16 15 14 14 14 14 14 14 14 15 15 16 18 18 17 15 12 10 10 nan
nan 11 11 11 11 10 10 9 9 8 8 7 7 7 8 10 11 11 12 11 10 10 10 11 13 13 14 14 13 11 9 7 5 4 3 3 5 7 8 8 8 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 10 10 9 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 11 12 14 15 15 16 16 16 15 14 13 12 14 15 17 17 16 16 15 15 13 12 11 9 7 6 6 7 8 10 12 16 19 22 23 23 22 20 20 20 19 18 18 17 16 14 11 9 8 8 8 9 11 13 15 16 17 17 18 18 16 14 12 10 10 10 nan
nan 10 11 11 11 11 10 9 8 8 7 6 6 6 7 9 10 11 11 11 11 11 11 12 13 14 14 14 12 10 8 6 5 4 4 5 6 7 8 9 8 8 7 8 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 11 11 10 9 9 8 9 9 10 11 11 12 13 13 12 12 12 12 12 12 11 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 13 13 13 13 13 12 12 13 13 13 15 17 19 20 19 18 17 17 17 18 19 18 15 13 13 15 16 18 20 21 22 23 23 22 19 16 14 13 13 12 11 11 10 9 7 6 6 7 9 10 12 14 16 17 18 19 19 17 16 14 13 11 10 10 10 nan
nan 10 10 11 11 10 9 8 7 7 6 6 6 6 7 9 10 11 11 10 10 11 11 12 12 13 13 12 11 9 7 6 5 5 6 7 8 9 9 10 10 10 10 9 9 10 10 10 10 9 9 9 10 9 9 8 9 9 10 11 11 11 10 10 9 9 9 9 10 10 11 11 11 12 12 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 10 10 10 11 11 12 14 16 16 17 17 17 17 18 18 20 20 20 18 17 17 18 19 20 21 21 20 19 16 14 11 10 9 10 10 9 9 9 8 8 8 9 10 11 13 14 15 17 18 18 18 18 17 15 14 13 12 11 11 11 10 nan
nan 9 10 11 11 10 9 8 7 6 6 6 6 7 8 8 9 9 9 9 8 9 10 10 11 12 11 11 9 8 7 6 6 7 8 9 10 10 11 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 11 11 10 10 9 9 9 10 11 11 11 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 9 8 8 9 10 10 10 11 12 12 12 13 14 15 15 16 16 16 15 15 15 15 15 15 15 16 15 14 13 12 12 11 12 13 14 15 16 16 16 15 15 15 16 17 16 15 14 14 15 15 15 15 14 13 13 12 12 12 12 12 12 11 nan
nan 9 10 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 11 10 10 9 8 8 8 9 10 10 11 11 12 13 13 13 13 12 11 10 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 10 11 12 12 11 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 7 6 7 8 9 9 9 9 9 10 10 10 11 11 12 13 13 12 12 11 11 11 11 12 12 13 12 12 12 14 16 18 19 19 19 19 19 20 21 20 20 20 19 17 15 13 13 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 nan
nan 9 10 11 10 9 8 8 8 8 8 9 9 9 9 8 8 7 6 6 6 6 7 9 10 10 10 10 9 9 9 10 10 11 11 11 12 13 14 14 14 12 11 9 9 8 9 9 10 10 10 10 10 10 11 10 10 11 11 11 11 11 10 9 9 9 10 11 11 11 10 10 11 11 12 12 12 11 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 7 6 5 5 6 7 8 9 9 9 10 10 10 10 10 11 11 11 12 11 11 10 10 10 11 12 13 13 12 13 14 15 16 17 17 17 17 17 17 17 17 17 17 16 15 13 12 12 12 12 12 11 11 11 11 12 12 11 11 11 12 12 12 12 nan
nan 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 8 7 7 6 6 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 12 13 15 14 13 11 8 8 8 9 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 10 9 7 5 2 1 2 3 4 6 7 8 9 10 10 10 10 10 10 11 11 11 10 8 8 9 10 12 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 11 11 12 12 12 11 11 11 11 11 12 12 12 nan
nan 9 9 8 8 8 9 10 10 11 11 11 11 11 11 10 9 8 8 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 11 12 13 14 14 13 12 9 6 7 8 9 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 10 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 5 5 6 6 7 8 9 9 9 8 5 2 1 0 1 1 2 3 4 5 6 7 7 6 6 6 8 9 9 9 7 5 6 8 12 14 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 11 nan
nan 9 9 9 9 9 10 11 12 12 12 12 12 12 11 10 9 9 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 11 12 13 14 14 13 11 7 5 5 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 11 12 12 12 11 10 10 9 9 9 10 10 11 11 11 11 10 10 9 8 7 6 6 6 7 7 7 7 7 7 5 3 2 2 3 4 4 4 4 3 3 3 2 1 0 1 2 4 5 6 5 3 4 8 12 16 16 14 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 13 13 12 12 11 11 11 11 11 12 12 nan
nan 10 9 9 10 10 11 12 12 12 12 12 12 11 11 10 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 12 13 14 14 13 10 7 5 5 5 6 7 7 7 8 9 10 10 10 9 8 8 9 9 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 9 9 9 11 12 12 11 10 9 9 9 10 10 9 9 10 12 13 13 12 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 10 9 7 7 6 6 5 5 4 3 3 3 3 4 5 7 8 9 10 9 8 6 4 1 -0 -1 0 2 4 5 4 3 4 9 14 19 19 16 13 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 nan
nan 10 10 10 10 10 11 11 11 12 12 12 12 11 10 10 9 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 13 14 14 12 10 8 6 6 6 6 7 7 7 8 9 10 11 11 10 9 8 8 9 10 10 10 10 9 10 11 11 11 11 11 11 10 10 9 9 9 10 11 12 13 12 11 10 9 9 9 9 8 8 10 12 14 14 13 12 11 10 10 10 11 11 10 10 9 9 10 10 11 11 11 11 9 7 6 4 3 2 2 2 2 3 5 6 8 9 10 11 13 13 12 11 9 7 6 6 7 8 9 9 9 9 12 16 20 22 19 15 12 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 11 11 11 12 12 12 12 11 11 11 12 12 nan
nan 10 10 9 10 10 10 10 10 11 11 12 12 11 10 9 9 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 14 13 12 11 9 8 8 8 8 8 8 8 8 9 10 11 12 12 11 10 10 10 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 9 8 8 10 12 13 14 13 12 11 10 10 11 11 11 10 9 9 9 9 8 9 10 11 11 10 9 8 6 4 4 4 4 5 6 8 9 10 10 10 11 12 13 13 12 11 10 11 12 13 14 15 15 15 15 17 19 21 19 16 13 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1842 1940 2012 2064 2137 2124 2127 2129 2128 2128 2114 2081 2036 1991 1957 1948 1965 1992 2002 1994 1995 1999 1999 1989 1969 1935 1891 1850 1813 1777 1746 1724 1705 1674 1637 1604 1579 1563 1558 1561 1585 1593 1604 1616 1652 1717 1801 1889 1983 2003 1996 1958 1922 1918 1921 1881 1831 1798 1780 1759 1722 1662 1563 1229 781 390 154 55 28 51 128 152 205 277 412 621 840 964 1055 1324 1700 1881 1837 1783 1812 1865 1903 1865 1783 1734 1770 1830 1681 1670 1657 1692 1707 1646 1524 1392 1281 1096 869 660 500 391 329 291 238 176 137 110 98 127 132 137 110 64 26 9 3 2 2 2 1 1 1 1 0 0 0 0 1 1 1 0 2 1 2 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1984 2028 2050 2129 2185 2188 2192 2192 2186 2176 2162 2133 2085 2038 2005 1996 2010 2031 2041 2052 2070 2088 2098 2084 2045 2007 1980 1949 1913 1870 1829 1793 1763 1731 1698 1679 1667 1658 1655 1662 1671 1670 1675 1679 1699 1753 1833 1908 2008 1999 2000 1977 1955 1958 1961 1942 1904 1869 1837 1797 1737 1644 1489 1083 629 277 86 18 5 28 106 109 128 178 266 392 547 675 779 1009 1381 1619 1657 1674 1715 1755 1764 1698 1590 1519 1517 1504 1535 1521 1515 1504 1451 1364 1294 1224 1115 945 743 562 439 375 343 306 251 196 162 146 140 148 138 100 51 18 6 3 2 2 2 2 2 2 1 1 0 0 0 0 0 1 1 0 1 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2111 2082 2052 2124 2181 2212 2220 2212 2203 2199 2196 2179 2136 2089 2054 2041 2044 2051 2058 2074 2090 2102 2113 2108 2084 2061 2049 2017 1980 1938 1893 1850 1812 1779 1750 1738 1734 1732 1730 1733 1737 1740 1743 1746 1762 1803 1863 1916 2002 1994 2002 2001 1991 1986 1987 1988 1961 1938 1907 1861 1787 1642 1334 882 482 198 59 29 50 98 178 183 185 203 249 330 451 588 726 935 1203 1415 1524 1581 1598 1607 1585 1518 1388 1267 1232 1183 1249 1279 1245 1203 1155 1077 994 984 898 765 610 479 404 378 368 334 294 264 249 234 197 145 84 36 11 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
2163 2077 1998 2001 2036 2105 2152 2167 2178 2195 2207 2201 2167 2120 2076 2051 2042 2043 2051 2067 2081 2099 2135 2163 2166 2153 2133 2095 2050 2001 1950 1901 1860 1828 1801 1791 1788 1787 1785 1787 1796 1806 1810 1818 1829 1853 1896 1953 2008 2016 2033 2044 2037 2021 2016 2027 2006 1990 1967 1918 1810 1577 1126 637 316 126 47 54 112 184 211 223 236 245 270 339 460 605 774 983 1191 1346 1429 1450 1402 1364 1295 1171 1060 992 916 852 879 920 871 836 832 778 697 691 651 573 482 408 366 331 310 272 234 214 209 198 152 74 26 7 2 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 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
2147 2020 1895 1820 1805 1861 1957 2035 2105 2164 2200 2199 2168 2120 2077 2054 2047 2050 2059 2079 2108 2162 2224 2270 2283 2265 2233 2184 2125 2064 2008 1962 1927 1894 1873 1867 1865 1864 1864 1865 1869 1875 1877 1881 1887 1903 1935 1974 2012 2044 2079 2102 2104 2090 2078 2074 2063 2051 2014 1919 1722 1376 867 440 177 55 19 34 83 138 165 205 239 261 304 397 507 625 750 884 991 1054 1088 1118 1056 1001 936 847 755 681 625 580 592 559 492 483 514 475 424 398 384 371 344 308 274 222 181 138 105 91 91 84 59 20 5 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0
2096 1933 1777 1681 1660 1692 1805 1910 2022 2117 2179 2209 2207 2180 2140 2105 2088 2090 2105 2132 2175 2240 2288 2314 2320 2305 2278 2231 2166 2099 2040 1994 1961 1938 1937 1932 1923 1915 1914 1922 1934 1930 1930 1929 1936 1952 1976 2008 2042 2083 2131 2173 2186 2169 2142 2114 2091 2047 1933 1723 1400 966 482 267 94 19 3 8 26 54 101 152 189 227 300 410 491 550 592 628 644 628 601 638 609 599 594 551 490 451 434 396 375 335 322 325 309 269 224 193 182 191 192 170 137 93 61 38 25 23 22 16 10 3 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 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 1 2 3 4 5 4 2 1 1 1 1 1 2 2 2 1 1 1 1 1 0 0 0 0 0
2031 1848 1663 1549 1535 1581 1659 1741 1895 2042 2140 2207 2239 2242 2228 2211 2198 2192 2192 2203 2243 2283 2297 2293 2276 2253 2227 2191 2142 2088 2035 1992 1972 1977 1991 1993 1986 1978 1976 1980 1984 1978 1977 1976 1982 1997 2018 2046 2080 2130 2182 2210 2186 2098 1962 1852 1798 1682 1421 1109 790 424 153 92 31 5 0 1 6 22 58 107 141 189 269 356 407 406 379 334 290 243 201 224 247 284 315 323 317 308 299 267 230 205 186 167 145 119 99 82 75 73 67 52 34 15 8 4 3 3 2 0 1 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 0 0 0 0 0 0 2 2 1 1 1 2 1 1 0 1 2 3 3 4 4 3 1 1 1 2 2 2 2 1 1 1 1 2 1 0 0 0 0 0
1956 1760 1546 1390 1341 1386 1424 1531 1710 1890 2044 2175 2278 2331 2338 2327 2309 2286 2264 2253 2259 2257 2232 2193 2162 2148 2137 2132 2115 2099 2073 2046 2035 2048 2072 2089 2103 2120 2139 2145 2115 2081 2059 2044 2039 2046 2062 2084 2122 2175 2168 2067 1889 1655 1374 1123 1001 874 601 365 236 79 24 9 3 0 0 2 6 17 53 102 145 192 242 279 281 242 201 137 89 65 38 47 74 102 134 168 195 200 172 126 81 45 26 22 23 26 27 21 15 11 8 6 3 1 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 1 2 2 1 1 1 3 4 3 2 0 0 1 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0
1812 1579 1346 1167 1084 1109 1140 1237 1384 1559 1751 1949 2126 2248 2308 2341 2334 2311 2292 2260 2231 2207 2180 2157 2141 2124 2103 2104 2106 2096 2073 2053 2056 2085 2127 2158 2182 2205 2223 2226 2205 2185 2161 2137 2119 2117 2133 2155 2172 2122 1876 1556 1226 902 587 357 263 217 116 40 29 5 0 0 0 0 1 4 14 32 80 130 176 212 231 226 186 140 99 53 23 12 3 6 12 18 26 35 47 60 52 31 14 4 2 4 6 5 3 2 1 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 1 0 0 0 1 3 4 2 1 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
1490 1230 1016 848 740 705 663 728 830 973 1167 1402 1651 1899 2097 2217 2248 2245 2239 2221 2198 2176 2151 2119 2078 2052 2063 2030 2034 2023 2013 2012 2026 2062 2133 2182 2216 2233 2239 2244 2257 2261 2247 2220 2192 2182 2186 2155 1948 1687 1226 825 547 346 173 62 49 32 13 2 0 0 0 1 2 5 9 18 42 79 137 186 216 222 208 177 132 92 52 23 7 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
944 746 597 477 384 328 272 279 312 374 481 630 810 1025 1227 1420 1541 1655 1806 1972 2108 2218 2304 2365 2346 2262 2173 2052 2028 2040 2073 2104 2125 2152 2216 2257 2299 2325 2339 2347 2344 2329 2317 2274 2232 2143 2020 1892 1437 1046 675 399 241 170 127 71 49 23 7 1 0 0 1 10 22 36 51 73 110 159 230 286 302 276 224 166 117 72 36 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 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 1 3 5 5 2 0 0 0 0 1 3 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
403 328 265 210 164 129 99 88 82 79 92 123 165 199 192 203 318 567 916 1284 1589 1910 2119 2215 2237 2160 1991 1884 1895 1959 2015 2093 2149 2143 2225 2254 2317 2376 2418 2437 2431 2412 2388 2299 2162 1898 1541 1210 757 507 374 275 206 174 155 117 57 28 20 23 26 30 35 54 78 106 137 172 223 297 386 447 440 370 271 178 117 67 30 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 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 1 2 5 4 1 0 0 0 0 0 3 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
185 174 162 142 116 94 81 79 70 56 39 27 21 20 20 25 52 132 286 496 700 941 1013 1075 1160 1247 1324 1383 1468 1563 1597 1697 1793 1791 1912 2013 2149 2279 2373 2427 2448 2434 2375 2187 1867 1464 1038 645 320 231 215 226 210 165 132 90 52 46 62 83 99 115 111 123 151 187 229 281 356 454 521 553 507 394 266 168 102 51 18 3 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 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 1 2 1 0 0 0 0 0 0 1 2 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
238 224 222 203 165 121 94 91 99 89 80 77 81 91 108 137 191 252 332 464 675 915 1106 1191 1244 1306 1359 1380 1377 1506 1449 1372 1360 1415 1575 1772 1989 2178 2313 2393 2424 2376 2224 1895 1470 1046 674 365 175 168 189 208 176 113 101 96 77 79 108 135 153 194 172 176 208 250 293 339 405 463 479 464 399 292 176 93 47 19 5 0 0 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 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 1 2 3 4 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
386 339 318 298 263 217 172 145 139 123 119 132 167 228 315 424 570 693 834 1047 1336 1561 1757 1842 1792 1688 1624 1628 1542 1648 1738 1760 1707 1635 1665 1800 1998 2181 2319 2405 2413 2255 1933 1509 1095 744 461 244 163 156 190 200 169 131 130 117 73 71 114 145 158 219 217 196 217 266 313 339 356 347 323 288 228 150 76 30 9 2 0 0 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 0 0 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
493 437 397 373 348 324 298 264 235 202 188 193 233 321 442 549 805 1051 1305 1569 1797 1933 1975 1949 1869 1757 1664 1641 1632 1616 1756 1778 1797 1943 2111 2123 2186 2287 2345 2320 2190 1926 1567 1177 841 583 377 212 188 189 218 231 205 151 110 98 79 67 99 134 143 176 165 140 153 202 255 278 263 207 172 137 95 51 18 5 1 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 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 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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