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 14 16 19 19 17 15 13 12 11 10 9 8 8 7 7 7 6 6 5 5 5 6 7 7 8 7 6 7 7 8 9 9 10 9 9 9 10 10 10 9 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 8 9 10 10 10 9 8 9 10 10 9 8 8 9 9 10 10 10 10 9 9 8 7 7 7 7 6 7 8 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 8 8 8 9 9 9 8 8 8 9 10 10 8 6 6 7 8 8 8 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 nan
nan 12 14 16 18 17 15 14 12 11 10 9 9 8 8 7 7 7 6 6 6 6 5 6 7 7 6 6 7 8 8 9 9 9 9 10 10 11 11 11 9 7 6 7 9 10 10 9 8 7 8 8 9 10 10 11 11 10 9 9 9 8 7 7 6 6 6 6 5 4 5 5 6 6 6 5 5 6 7 6 6 6 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 9 10 10 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 8 8 8 9 10 9 7 7 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 12 11 9 8 8 9 9 9 9 9 9 9 8 7 7 8 8 8 8 9 nan
nan 9 11 13 16 16 14 13 12 11 10 9 8 8 7 7 7 7 7 8 8 7 6 7 7 7 6 6 7 8 8 8 7 7 9 10 11 11 11 10 9 6 6 7 9 10 9 8 6 6 7 8 10 11 13 13 13 12 11 10 8 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 5 6 7 6 6 6 7 8 9 10 10 10 11 10 10 10 10 9 9 9 8 8 9 10 10 10 10 10 9 8 7 7 7 8 10 10 9 8 7 7 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 9 9 10 10 10 9 9 8 8 8 9 10 11 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 8 9 nan
nan 7 9 11 14 14 13 12 11 11 10 9 8 7 7 8 8 8 8 8 9 8 9 10 9 8 8 8 8 9 8 7 6 7 8 10 10 11 10 10 8 6 6 7 9 9 8 6 6 7 8 9 11 13 15 16 15 14 12 11 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 9 10 11 11 10 11 11 11 11 10 8 8 9 9 9 9 10 10 10 9 8 7 7 7 9 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 10 10 11 11 10 9 8 8 8 8 9 10 9 8 7 7 9 10 9 8 6 5 4 5 6 7 8 8 7 7 7 7 7 8 8 8 7 6 6 7 7 8 nan
nan 7 8 11 13 14 13 12 11 11 10 9 8 8 8 9 9 9 8 7 7 7 9 11 11 10 10 9 9 9 9 9 8 8 8 9 10 11 10 9 7 6 7 9 10 9 7 5 7 10 12 13 13 14 15 17 16 14 13 11 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 6 6 8 9 10 10 9 10 12 13 14 12 10 8 8 8 8 9 10 10 10 9 8 8 7 7 7 9 10 10 8 7 6 6 6 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 9 10 11 11 10 10 9 9 8 8 8 9 9 9 7 7 8 10 9 7 5 3 2 3 4 6 8 8 8 8 7 7 7 6 7 8 8 8 6 6 7 8 8 nan
nan 8 9 12 14 15 14 12 11 11 10 9 9 8 9 9 9 8 7 6 4 4 6 8 9 10 11 11 10 10 10 10 9 9 9 10 10 10 8 7 6 7 9 10 9 8 7 9 11 14 15 16 16 16 16 16 15 13 12 11 10 10 10 9 8 8 8 8 8 9 8 8 8 8 8 7 6 5 6 6 6 6 7 6 5 5 6 8 8 8 8 9 11 13 15 14 11 8 8 8 8 9 9 10 10 9 9 8 7 7 7 9 10 10 9 8 7 6 7 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 11 10 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 8 5 2 2 3 5 6 7 8 8 8 8 7 7 6 6 6 8 9 8 7 7 8 8 8 nan
nan 9 11 13 16 17 15 12 11 10 10 9 9 9 10 9 8 7 6 4 3 4 5 6 7 9 11 11 10 10 9 9 9 9 10 10 9 8 7 7 6 7 9 10 10 11 12 15 16 16 16 16 15 15 14 13 12 11 10 10 10 10 10 9 9 8 8 7 8 8 8 8 8 8 7 7 6 5 4 4 4 4 5 5 5 6 6 7 7 7 7 7 9 10 12 12 11 9 8 8 8 8 9 10 10 9 9 9 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 9 8 6 6 6 7 7 8 9 10 10 10 11 11 11 10 9 9 9 9 9 10 10 9 6 3 2 4 6 8 8 7 7 7 7 7 7 7 7 6 7 8 9 9 8 9 9 9 9 nan
nan 10 11 14 18 18 15 11 9 9 9 9 9 10 10 8 6 5 4 4 4 6 7 8 9 10 11 10 9 9 8 8 9 10 10 8 8 8 8 7 6 7 10 12 13 15 17 19 17 14 12 11 10 9 8 8 7 7 8 8 8 8 8 7 7 6 6 6 7 7 8 7 7 7 6 7 6 5 5 4 4 4 4 5 5 6 7 7 7 7 7 6 6 7 8 10 10 10 9 8 8 8 9 10 10 10 10 9 8 8 8 8 9 9 10 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 9 10 11 12 11 10 8 7 7 7 7 7 7 8 10 11 11 10 11 11 11 10 9 8 9 8 9 9 8 7 5 4 5 7 9 9 8 7 6 6 6 7 7 8 7 7 7 8 8 8 9 9 9 9 8 nan
nan 10 12 15 19 19 15 11 9 8 8 8 9 9 9 7 6 5 4 4 6 8 9 10 12 13 10 9 9 9 9 9 10 10 9 8 8 9 10 10 9 10 11 13 15 16 17 16 12 10 7 6 4 3 3 4 4 5 5 4 4 4 4 4 4 5 5 6 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 6 6 6 5 5 6 7 8 10 10 10 9 8 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 8 9 9 9 8 9 11 11 11 10 8 8 8 9 9 8 7 8 10 11 11 11 11 10 9 8 8 8 8 8 8 8 7 6 6 6 7 9 9 9 7 5 4 5 6 6 7 8 8 8 7 7 7 8 9 10 9 8 8 nan
nan 10 13 16 19 19 15 10 8 7 7 8 9 9 9 8 8 7 6 6 6 7 7 9 13 14 11 9 9 9 10 10 11 12 10 9 10 12 13 13 14 14 14 14 14 14 13 11 8 6 5 4 4 4 5 5 5 4 3 2 2 2 2 2 3 5 6 7 8 8 7 7 7 7 7 6 6 6 6 7 7 7 8 8 7 6 6 6 5 5 5 5 5 5 6 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 8 8 8 8 8 8 7 8 10 11 11 10 9 9 9 10 9 9 8 8 9 10 10 10 9 8 8 8 9 9 9 8 8 7 7 7 6 7 7 8 8 7 5 4 5 5 6 6 7 7 7 7 7 7 8 9 9 8 7 7 7 nan
nan 10 13 17 20 20 15 10 7 6 7 8 9 9 9 9 9 8 7 7 6 5 5 8 12 12 11 10 10 10 11 13 14 14 12 12 12 13 14 15 15 16 15 14 12 11 10 8 7 5 5 6 7 7 8 7 6 4 3 2 2 2 2 3 4 6 7 7 7 7 7 7 8 8 7 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 4 4 6 7 8 8 9 9 8 8 7 8 9 10 10 9 9 9 9 10 10 9 9 9 9 9 8 7 7 6 7 8 9 9 9 9 8 8 8 7 6 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 10 11 11 10 9 9 8 8 7 7 7 7 8 8 6 5 5 6 6 6 6 7 7 7 7 7 8 9 9 8 7 6 7 7 nan
nan 10 14 18 21 21 16 9 6 6 7 9 10 10 10 9 8 7 6 6 6 4 6 9 10 10 10 10 11 12 13 14 15 14 13 13 13 13 13 13 13 14 13 12 11 10 9 8 6 5 5 7 8 8 7 6 5 4 4 4 4 5 5 6 6 7 7 7 6 6 8 9 9 8 7 6 6 6 6 7 7 6 5 4 5 5 5 5 5 4 4 4 3 4 6 7 7 8 8 8 8 7 8 8 9 9 10 9 9 8 9 10 10 9 9 8 9 9 8 8 7 7 8 8 8 9 10 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 10 13 14 13 12 10 9 8 7 7 6 7 7 8 8 7 6 6 6 6 5 6 7 8 8 8 8 8 9 9 9 7 7 7 8 nan
nan 11 15 19 22 21 15 9 6 7 8 9 10 10 10 9 7 6 6 5 5 5 8 11 12 11 11 11 12 13 14 14 13 12 11 11 11 11 11 10 10 10 10 9 9 9 8 7 5 5 6 7 7 6 5 5 6 6 7 7 8 10 10 9 9 8 7 7 7 8 10 10 9 7 5 5 6 7 7 7 7 6 5 4 6 7 7 5 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 10 10 10 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 10 10 9 9 9 9 8 8 9 9 8 7 7 9 11 13 13 13 12 11 9 7 6 6 6 7 7 8 8 8 7 6 5 5 5 6 8 8 8 8 8 8 9 9 9 8 8 8 9 nan
nan 11 16 21 23 20 14 8 6 7 8 8 8 9 8 7 6 6 6 6 6 7 9 12 14 14 14 14 13 13 13 12 11 10 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 6 7 7 6 6 6 8 10 11 11 11 11 12 12 10 8 7 7 8 9 11 10 8 7 5 5 6 7 7 8 9 9 7 5 5 7 8 7 5 4 5 5 6 6 7 7 7 7 6 6 6 6 6 7 7 7 8 9 9 8 8 8 9 10 10 10 9 8 7 7 8 9 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 9 9 9 9 9 9 8 7 6 7 9 9 10 10 10 10 9 8 8 8 8 7 7 7 8 8 7 6 5 5 5 7 8 8 8 9 9 9 10 10 10 9 9 10 9 nan
nan 12 18 22 22 19 13 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 11 13 14 15 15 15 14 13 11 10 9 9 8 8 8 8 8 9 10 10 9 7 6 6 5 5 6 8 8 8 8 8 10 12 14 13 12 10 10 9 8 7 6 6 7 8 9 8 6 5 5 5 6 7 7 8 9 10 9 7 5 5 7 8 7 5 5 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 9 9 8 8 8 9 9 10 9 7 7 7 8 9 10 9 8 8 8 8 8 9 9 9 9 10 9 8 8 8 10 10 10 10 9 9 9 9 9 8 8 7 6 6 7 7 8 8 9 9 9 10 11 12 11 9 7 7 7 8 8 7 6 6 6 7 8 8 8 9 10 10 11 10 9 9 9 9 9 nan
nan 14 19 21 20 16 11 9 8 8 8 7 7 7 7 8 10 11 12 12 12 12 12 12 12 13 13 13 12 11 10 9 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 8 8 9 10 10 10 11 12 14 13 10 7 6 6 6 5 4 5 6 7 8 7 4 3 4 5 6 7 7 8 9 10 10 8 5 3 5 7 7 6 5 5 6 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 8 8 9 9 9 8 8 9 9 9 9 8 7 6 7 9 10 9 9 9 8 8 8 9 8 8 9 10 9 8 7 8 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 11 13 15 14 11 9 9 9 9 8 8 7 6 7 7 8 8 9 9 10 10 10 9 8 8 8 8 9 nan
nan 17 19 19 16 13 10 9 8 8 9 8 8 8 9 10 12 14 14 14 13 11 11 11 11 11 11 11 10 10 9 9 8 8 7 8 8 9 9 10 9 9 8 9 9 10 10 11 11 12 12 12 13 13 14 13 8 4 3 4 5 5 5 6 7 8 7 6 5 4 5 6 6 7 7 7 8 9 8 7 5 3 3 5 7 7 6 5 5 5 6 7 7 7 7 8 8 8 8 7 6 6 7 9 9 8 8 9 9 9 9 9 9 9 9 9 8 7 6 7 8 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 9 10 12 13 14 13 12 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 9 9 nan
nan 19 18 16 14 12 10 9 9 9 10 10 10 10 10 11 12 13 13 12 11 10 10 10 10 11 10 10 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 10 11 12 13 13 14 14 13 13 13 13 12 9 5 3 3 5 6 7 7 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 6 5 3 3 4 6 7 7 6 6 5 5 6 7 8 8 8 8 8 8 7 6 5 5 6 8 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 8 9 9 9 9 9 10 10 10 9 9 8 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 7 9 9 9 9 10 11 13 13 13 11 10 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 nan
nan 18 16 14 13 11 10 10 10 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 9 9 9 8 8 7 7 7 8 10 12 13 13 14 14 13 12 11 11 10 9 7 6 6 8 9 10 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 5 6 6 6 6 6 6 6 7 8 9 9 9 9 9 9 8 6 5 4 5 7 9 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 9 8 8 7 7 8 9 9 9 8 7 7 7 8 9 9 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 9 10 11 12 12 11 10 9 8 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 nan
nan 14 13 12 11 11 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 7 8 10 11 12 12 12 12 11 10 10 9 9 9 9 10 11 12 13 13 12 11 11 10 9 8 7 7 7 6 7 7 7 7 7 8 8 7 6 5 5 6 6 7 7 7 7 7 7 8 9 9 10 10 10 10 10 9 8 6 4 4 6 8 9 9 9 9 8 9 9 10 10 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 nan
nan 10 10 10 10 9 9 10 10 10 10 10 10 10 9 8 8 7 8 8 9 10 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 9 10 11 12 11 11 11 10 9 9 10 10 11 11 12 13 14 14 13 11 9 8 8 8 7 7 6 6 6 7 7 7 7 8 10 10 10 8 6 5 6 7 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 10 9 7 5 6 7 8 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 6 6 7 8 8 8 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 7 8 8 8 9 9 8 8 8 7 6 6 6 6 nan
nan 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 9 10 10 9 8 7 7 7 8 8 8 8 9 8 8 8 8 7 7 7 8 9 10 11 11 11 10 10 9 9 9 9 10 11 12 13 13 13 12 11 10 8 7 6 6 6 6 7 6 6 6 7 7 7 8 10 12 12 11 10 7 6 6 7 8 8 9 8 8 8 8 8 9 10 11 12 13 12 12 11 10 8 7 6 7 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 7 7 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 8 7 7 7 7 6 6 7 7 nan
nan 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 8 9 9 10 10 9 8 8 7 7 7 7 8 8 9 9 9 9 8 7 7 7 8 10 11 11 11 10 10 9 9 8 9 9 10 11 12 13 13 11 10 9 8 7 6 5 5 5 6 8 8 7 7 7 7 7 8 11 12 12 11 9 8 7 7 7 8 8 8 8 7 7 7 8 9 10 11 12 13 13 12 11 10 8 7 7 7 8 9 9 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 7 7 6 5 5 5 6 6 7 8 8 8 8 8 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 nan
nan 4 3 3 4 4 5 5 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 10 9 8 8 7 8 9 10 11 11 11 10 9 9 8 8 8 9 9 10 11 12 11 10 9 8 7 6 5 4 5 6 8 9 9 9 9 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 10 11 11 12 11 11 9 8 7 7 7 8 9 9 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 6 6 5 5 5 5 6 7 8 9 9 9 8 8 7 7 7 6 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 8 9 9 nan
nan 3 3 3 3 3 5 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 5 4 3 4 6 8 9 9 10 10 10 9 9 9 9 8 7 7 7 8 8 8 8 8 8 7 7 8 9 9 10 10 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 9 9 8 8 8 9 9 9 8 8 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 9 9 8 7 7 7 7 7 7 7 6 5 5 7 8 8 9 nan
nan 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 6 5 4 4 6 8 10 10 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 10 11 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 5 5 6 6 7 7 7 6 5 6 7 8 8 9 nan
nan 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 7 7 7 8 9 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 7 7 8 8 10 11 12 10 8 8 9 10 10 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 6 5 5 5 6 7 8 8 7 7 7 7 8 8 9 9 nan
nan 9 9 9 9 9 10 10 9 8 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 10 10 8 7 7 8 9 10 10 9 9 8 7 7 7 7 6 6 6 7 8 8 8 9 9 10 10 10 10 9 10 10 9 9 10 10 10 9 8 8 8 8 9 9 9 8 8 8 9 10 10 9 8 7 6 6 6 7 8 8 8 8 8 8 9 10 9 9 8 8 8 9 10 11 12 12 10 8 7 7 8 9 9 8 8 7 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 8 8 9 8 8 8 8 9 9 10 10 9 nan
nan 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 9 10 9 8 7 6 6 7 9 9 10 9 7 5 4 5 6 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 10 8 8 8 9 9 10 10 10 10 9 9 9 10 9 9 8 7 7 6 7 7 8 9 9 9 8 8 9 9 9 9 8 8 9 9 10 11 12 12 11 9 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 9 10 10 10 10 9 nan
nan 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 7 7 6 6 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 6 6 5 6 7 8 9 9 6 4 4 5 6 7 7 8 9 9 9 9 9 10 10 10 10 10 10 11 10 10 11 11 11 9 7 7 8 9 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 10 9 9 8 9 9 10 9 8 8 8 9 10 11 12 11 10 9 9 10 10 9 9 9 8 8 7 6 6 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 7 nan
nan 9 9 9 9 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 7 6 6 5 6 6 5 5 5 7 8 9 6 5 6 7 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 10 9 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 7 8 8 9 9 10 10 9 9 8 8 9 11 11 9 8 8 8 9 10 11 10 9 8 8 10 10 9 9 8 8 7 7 6 6 5 6 7 8 9 8 8 7 8 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 7 6 6 5 5 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 7 7 7 6 6 4 4 4 5 6 6 6 6 7 9 10 9 9 9 10 10 10 10 11 11 11 11 12 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 8 8 8 8 8 9 9 9 9 8 8 7 8 10 11 10 8 7 7 8 10 10 9 8 7 7 9 9 9 9 9 9 8 8 7 6 6 6 7 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 6 5 5 6 6 6 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 5 4 3 3 3 5 6 8 8 8 9 11 12 13 12 12 12 11 11 12 12 12 11 11 12 12 12 11 11 12 12 12 11 11 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 8 8 9 9 9 8 7 6 7 9 10 9 8 7 7 8 10 10 10 9 8 8 9 10 10 10 10 10 10 9 8 8 7 7 6 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 6 6 7 7 7 7 7 8 9 9 8 7 8 7 7 6 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 9 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 6 8 9 10 11 11 13 14 14 14 13 12 11 11 12 12 12 11 11 10 10 11 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 10 10 9 7 6 6 8 9 9 8 8 8 9 10 11 10 10 9 8 9 10 10 11 11 11 11 10 9 9 8 6 5 5 7 8 9 9 9 8 8 8 8 8 7 7 7 7 6 5 6 6 6 6 7 8 9 9 9 9 9 9 8 8 7 nan
nan 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 12 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 8 10 11 12 12 12 13 13 13 13 12 12 11 11 12 12 12 11 10 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 7 8 9 10 9 7 6 7 8 9 9 8 8 9 10 11 11 10 10 9 9 9 9 9 10 11 11 11 10 9 9 8 5 4 4 6 7 7 7 6 6 6 7 8 7 7 6 6 5 5 5 6 6 6 7 8 8 9 9 9 9 10 9 9 8 8 nan
nan 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 12 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 10 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 10 9 8 8 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 9 8 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 9 10 10 9 8 8 7 6 5 5 5 6 6 5 5 6 6 7 7 7 7 7 6 5 5 5 6 7 8 8 9 9 9 9 9 9 9 10 9 9 8 8 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 9 10 11 12 12 12 12 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 7 7 7 6 5 5 6 6 7 7 7 7 8 9 9 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 10 10 10 10 9 9 9 nan
nan 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 6 6 7 7 8 8 9 11 12 12 12 12 12 12 11 11 10 10 9 9 9 8 8 9 10 11 11 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 6 6 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 nan
nan 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 8 7 7 7 7 7 7 7 8 7 7 6 6 5 5 5 5 6 7 8 8 9 10 12 13 13 13 12 11 11 11 10 10 10 9 9 9 8 8 8 9 10 11 11 11 10 9 8 8 9 9 9 8 8 8 9 9 9 9 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 9 11 11 10 9 10 10 10 9 9 8 8 8 7 7 6 7 7 7 6 5 6 8 9 10 10 10 10 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 11 12 11 11 11 11 11 10 nan
nan 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 8 8 7 7 8 8 8 8 8 7 6 6 5 5 5 5 5 6 8 9 10 11 12 13 13 13 12 12 11 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 11 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 6 7 9 10 10 10 10 11 12 11 10 9 8 7 6 6 5 5 6 7 7 6 6 7 9 11 11 12 12 11 11 11 12 13 13 13 12 11 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 11 11 11 nan
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nan 13 13 12 12 12 12 11 11 11 10 9 8 6 5 5 5 5 6 6 6 5 4 5 6 7 9 11 12 14 14 14 14 14 15 15 13 12 11 11 11 11 12 13 13 12 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 11 10 10 10 9 8 8 8 7 8 8 8 9 9 10 11 11 11 11 12 14 16 18 18 15 12 8 6 5 5 4 3 2 5 9 12 15 15 14 12 11 10 9 10 11 12 13 13 12 12 11 12 13 13 12 11 9 9 10 11 11 12 11 11 10 10 9 8 7 6 6 7 8 10 13 16 17 17 16 14 13 12 12 12 12 12 12 12 12 12 12 12 nan
nan 13 12 12 11 11 11 11 10 10 9 7 6 5 5 5 6 6 7 6 5 4 4 5 6 8 10 12 15 16 16 15 13 11 10 8 7 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 8 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 11 13 16 18 17 15 12 9 8 7 5 2 1 4 9 14 16 15 14 12 12 11 11 11 12 12 12 12 12 12 12 14 14 13 12 11 11 13 14 14 14 14 12 10 9 8 7 6 6 6 7 7 9 11 14 16 17 16 15 13 12 12 12 12 11 11 11 11 11 11 12 12 nan
nan 13 13 13 12 11 11 10 10 9 7 6 5 5 5 6 6 7 7 6 5 4 4 5 6 8 10 14 17 19 19 16 12 9 7 5 6 7 8 9 9 8 7 7 7 8 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 8 6 6 6 8 11 12 12 11 10 9 9 9 9 10 10 11 11 13 16 16 16 14 11 9 7 4 1 0 4 9 15 17 16 14 13 12 11 11 11 11 11 11 11 11 12 13 13 13 12 12 11 12 13 14 15 17 17 16 14 11 9 8 8 7 7 8 8 9 11 13 14 15 14 13 12 11 12 12 11 11 11 11 10 10 11 11 12 nan
nan 14 14 13 13 12 11 10 9 7 6 5 5 5 5 5 6 6 6 5 5 4 5 6 7 8 10 15 18 19 18 14 10 9 8 8 8 9 9 9 8 7 5 5 6 7 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 12 11 11 10 10 10 10 9 9 8 6 6 6 8 11 11 12 12 11 9 9 8 9 10 11 11 11 12 13 13 14 13 11 9 6 3 -0 -1 3 9 14 16 15 14 13 12 12 11 11 11 11 12 12 11 12 12 12 12 11 11 12 13 14 15 16 19 20 19 18 15 12 11 10 9 9 8 8 9 10 12 12 13 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 nan
nan 13 13 12 12 11 10 9 8 6 6 5 5 5 5 5 5 6 5 5 5 6 6 7 8 9 11 15 17 17 14 10 8 8 9 9 10 10 9 8 6 4 3 4 5 7 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 10 10 9 9 9 8 7 7 7 7 9 10 10 11 11 11 10 9 9 10 10 10 11 11 11 11 11 10 10 9 7 4 1 -1 -1 3 7 12 14 15 14 13 12 12 11 11 11 12 13 12 12 11 11 11 11 11 11 12 14 14 15 17 18 18 18 17 15 13 12 11 9 8 7 8 8 9 11 13 13 13 12 13 13 13 13 12 11 10 9 9 9 9 10 10 nan
nan 11 11 10 10 9 8 8 7 6 5 5 5 5 5 5 6 6 6 6 7 8 8 9 9 10 13 16 17 16 12 8 7 8 9 9 9 8 7 6 4 3 3 4 6 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 10 9 8 8 8 7 6 6 8 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 10 10 9 8 7 5 2 -0 -2 0 3 6 10 14 15 15 14 13 12 11 11 12 13 12 12 11 11 11 10 10 11 12 13 14 15 15 14 14 14 13 13 13 12 11 10 9 8 7 8 8 9 12 14 15 15 14 13 14 14 14 12 11 10 8 8 7 8 9 10 nan
nan 9 9 8 8 7 7 6 5 5 5 5 5 6 6 6 7 7 7 8 9 9 9 9 9 11 14 17 18 16 11 8 8 8 9 8 7 7 6 6 5 5 6 8 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 9 8 8 8 7 6 6 7 8 8 8 8 9 10 10 9 9 8 9 10 11 12 11 10 9 9 7 6 3 1 -1 -1 1 3 6 10 14 17 17 16 13 12 12 13 12 11 11 11 11 11 10 10 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 9 8 8 8 8 9 10 12 14 15 15 14 14 14 14 13 11 9 8 7 7 7 8 10 12 nan
nan 9 8 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 8 9 9 9 9 9 10 12 15 16 15 12 8 6 7 8 9 8 8 8 9 9 9 9 10 12 13 13 13 12 12 11 11 11 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 9 9 9 9 10 11 10 10 10 9 9 10 10 10 10 10 11 11 12 12 11 10 10 11 11 10 9 8 8 7 7 7 7 7 7 7 7 8 9 10 9 8 8 8 9 10 11 12 11 10 9 9 7 6 4 2 0 1 2 4 6 10 15 17 18 16 13 12 13 13 11 10 9 10 10 10 10 10 11 11 11 12 11 11 11 10 10 9 8 8 7 7 8 8 8 8 9 10 11 12 13 14 15 15 14 15 15 14 11 9 6 6 6 7 9 13 15 16 nan
nan 8 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 8 8 9 9 9 11 13 15 15 11 7 4 5 7 8 9 9 10 11 12 12 12 12 13 13 14 14 13 12 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 10 10 9 9 8 8 9 10 11 11 11 10 10 9 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 9 8 8 7 7 7 6 6 6 6 7 8 9 9 9 8 8 9 10 10 11 11 10 9 9 9 8 7 5 2 1 2 3 4 7 11 15 16 16 13 11 11 11 10 9 9 9 10 9 9 10 10 11 11 11 11 11 11 10 10 10 9 8 6 6 6 6 7 8 9 11 12 13 13 13 14 14 15 16 16 15 12 9 6 4 5 6 10 14 17 18 17 nan
nan 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 9 9 11 12 14 16 16 13 10 9 9 9 9 9 9 10 11 11 11 11 12 13 13 13 13 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 8 8 9 10 11 12 11 11 10 10 10 10 10 10 9 9 10 11 11 11 11 11 10 10 9 8 7 7 7 7 7 6 5 6 7 8 8 8 8 8 8 9 10 10 10 11 10 9 8 8 8 9 8 6 3 2 2 3 5 8 11 13 13 12 9 8 7 7 7 9 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 9 9 7 5 5 5 6 7 8 10 12 14 14 14 14 14 16 17 19 18 14 9 6 4 5 7 10 13 16 18 17 16 nan
nan 5 5 5 6 6 5 5 5 5 6 6 6 6 7 7 8 8 9 9 10 10 11 12 13 14 15 14 14 15 15 14 12 11 10 9 9 8 8 8 10 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 9 8 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 9 9 9 9 10 9 9 8 7 8 9 9 7 4 1 2 4 7 10 12 12 11 9 7 5 4 5 8 13 15 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 9 7 5 4 5 7 8 10 12 14 15 15 14 13 15 18 21 23 19 12 7 5 6 9 12 14 16 17 18 18 16 nan
nan 5 5 5 4 4 5 5 5 5 6 6 7 7 8 9 11 12 13 13 14 14 14 13 13 12 11 9 10 12 13 14 13 11 9 8 7 7 8 8 10 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 7 8 9 8 6 3 1 2 6 9 11 12 12 11 9 7 6 5 7 12 16 17 15 14 14 14 14 13 13 12 12 11 10 10 10 10 10 8 5 4 4 6 9 11 13 15 15 15 14 13 14 17 20 22 21 15 10 8 8 11 14 16 17 18 19 20 20 18 nan
nan 5 4 4 3 4 4 5 6 8 9 10 10 11 12 13 14 16 17 18 18 17 16 14 13 11 9 7 7 9 10 11 11 9 8 7 7 8 9 10 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 10 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 10 11 10 9 8 7 7 7 5 2 2 4 8 11 12 12 11 11 9 8 8 8 11 15 16 15 14 14 14 14 14 13 12 12 11 10 9 8 7 6 5 3 2 3 5 9 12 14 15 15 15 14 14 14 16 18 19 17 13 8 7 9 12 16 18 19 19 19 21 21 20 17 nan
nan 4 4 4 4 5 6 8 10 13 14 15 15 15 15 16 16 17 18 19 19 19 17 15 14 12 11 10 10 10 10 10 9 8 7 7 8 9 10 12 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 12 12 11 9 8 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 10 8 7 6 5 3 3 5 7 10 11 12 11 11 10 9 9 9 10 13 14 14 14 14 15 15 14 13 12 11 10 9 8 6 4 3 2 2 2 3 6 10 13 14 15 15 15 15 15 16 17 18 17 16 12 8 6 7 10 14 16 17 18 18 20 20 20 18 15 nan
nan 5 5 5 6 8 10 12 15 17 18 18 17 17 16 16 15 15 16 16 16 16 16 16 15 15 14 14 13 12 10 9 8 7 7 7 8 10 11 12 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 8 8 8 9 10 11 11 12 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 11 11 10 9 8 6 5 4 6 9 11 12 12 12 12 11 9 9 9 10 12 13 13 13 14 16 17 16 14 12 10 9 7 5 3 2 1 2 4 6 8 10 12 14 14 14 14 15 15 16 18 19 19 18 16 14 10 8 7 8 9 11 12 13 14 16 17 17 16 14 12 nan
nan 8 8 9 10 12 14 16 18 18 18 17 16 15 14 13 13 13 12 12 12 12 13 14 15 15 14 14 13 11 10 8 7 7 7 7 8 9 10 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 9 8 8 7 7 8 9 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 9 7 6 7 10 12 13 14 14 14 13 11 9 9 10 12 13 12 12 12 14 17 18 16 14 11 7 4 2 2 2 2 4 7 11 14 15 16 15 14 14 15 15 16 16 18 19 19 18 16 14 12 9 7 7 7 8 8 10 11 13 14 14 13 12 11 11 nan
nan 12 13 13 14 15 16 17 17 16 15 14 13 12 11 11 11 11 11 11 10 11 11 12 12 12 12 12 11 10 8 7 6 6 7 7 8 9 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 8 7 7 6 7 9 10 11 10 9 9 9 10 10 10 10 10 9 9 9 10 12 13 15 16 17 15 13 10 10 11 13 13 13 12 11 12 14 16 16 15 12 8 4 2 3 5 7 10 13 16 19 19 18 17 15 15 16 16 17 16 17 17 16 15 14 12 10 7 5 5 6 8 10 10 12 13 14 14 12 11 10 9 9 nan
nan 15 16 17 17 17 16 15 14 13 12 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 9 9 8 7 7 7 7 7 8 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 9 9 9 9 9 10 10 10 10 11 11 10 9 9 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 6 7 9 10 10 10 9 9 9 9 10 10 10 10 9 9 10 11 12 13 14 15 15 13 11 10 12 15 16 16 14 13 12 13 15 16 17 16 13 8 7 8 10 14 17 19 22 23 23 21 18 16 15 16 17 16 15 15 14 13 12 10 9 8 7 5 4 6 9 12 13 14 15 15 15 13 12 11 10 9 9 nan
nan 16 16 16 16 15 13 12 12 11 11 10 10 9 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 10 10 10 11 11 12 13 13 13 12 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 8 7 5 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 12 15 18 19 17 15 14 14 16 18 20 21 20 16 13 13 15 17 20 22 24 24 23 21 18 15 14 13 14 13 12 11 10 9 8 7 7 7 8 8 8 9 11 13 15 15 16 16 16 14 13 11 10 10 10 10 nan
nan 14 14 13 13 12 11 11 11 11 10 10 10 9 9 8 8 8 8 8 7 6 6 6 7 8 9 9 9 8 8 9 9 10 11 11 11 11 11 12 12 13 14 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 10 10 11 12 11 11 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 9 7 6 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 14 16 17 17 16 15 15 16 18 20 21 20 18 16 15 16 17 18 19 20 21 20 18 15 12 11 11 12 12 11 10 10 9 9 8 9 10 11 11 11 12 13 14 15 15 15 15 15 14 13 12 11 11 11 11 11 nan
nan 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 7 6 6 6 7 8 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 9 10 12 13 13 12 11 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 7 7 8 8 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 12 12 13 14 14 13 12 12 13 14 15 16 16 15 13 13 13 14 14 15 16 16 16 16 14 13 12 11 12 14 14 15 15 14 14 13 13 14 14 14 13 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 nan
nan 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 6 6 7 8 10 11 13 14 14 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 11 13 15 14 13 11 10 9 9 10 10 9 9 9 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 15 15 15 15 15 16 16 17 17 17 17 17 17 17 17 16 16 14 12 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 11 10 nan
nan 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 6 6 7 8 10 12 13 14 15 14 13 13 12 12 12 12 11 11 11 11 11 11 12 13 13 13 13 12 11 11 12 12 12 12 11 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 12 14 15 14 13 11 10 10 10 11 11 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 8 9 10 11 12 12 12 11 11 10 10 10 9 10 10 10 9 9 10 10 11 12 14 14 15 15 16 16 17 17 17 17 17 17 16 15 15 15 15 15 15 14 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 10 nan
nan 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 10 11 13 14 14 15 14 13 12 11 10 11 11 11 10 10 10 10 10 11 12 13 13 13 13 12 11 11 11 12 13 13 12 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 12 11 11 12 13 14 15 14 12 11 11 11 12 12 12 11 10 9 8 8 8 8 9 10 11 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 3 2 3 5 6 8 9 10 10 11 11 11 10 10 9 9 10 10 9 8 7 8 10 13 15 15 15 15 15 15 16 16 16 16 15 15 14 13 13 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 nan
nan 10 9 9 8 8 8 8 8 8 7 7 6 6 7 8 9 11 12 13 13 13 13 13 12 11 10 9 10 10 10 10 10 10 10 10 11 12 13 13 14 14 13 12 11 10 10 11 11 12 11 11 11 12 12 12 12 12 12 12 11 10 9 9 9 10 11 12 12 12 13 13 13 13 12 11 11 11 12 13 14 13 12 11 10 8 7 6 6 7 9 11 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 5 3 1 0 1 3 5 7 7 7 8 8 9 9 9 8 7 7 8 9 8 7 4 5 8 12 16 17 16 14 13 13 14 14 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 8 7 6 6 6 6 6 6 5 5 5 6 7 8 10 11 12 12 12 12 12 11 11 10 10 9 9 10 10 10 11 11 11 11 12 12 13 13 13 13 13 13 12 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 13 12 11 9 8 8 9 9 10 11 12 12 12 12 10 9 9 9 10 11 12 14 15 15 14 12 10 8 7 6 6 8 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 5 3 1 -1 -1 -0 3 7 10 11 11 10 9 8 7 6 5 4 4 6 7 6 5 3 3 7 12 17 20 18 14 13 12 12 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 nan
nan 5 5 4 4 4 4 5 4 4 4 6 7 9 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 11 11 11 12 12 12 11 11 11 11 12 12 12 11 9 8 8 8 9 10 10 11 11 11 11 9 8 7 7 8 9 10 12 15 17 18 18 14 11 10 8 8 9 9 8 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 4 3 1 -0 -2 -3 -3 -1 3 8 11 13 15 16 16 14 13 11 9 7 6 7 8 7 6 4 3 7 13 20 24 21 17 14 12 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 nan
nan 4 4 4 4 4 5 5 5 6 8 9 11 12 12 12 11 11 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 11 11 11 12 12 13 12 11 10 9 8 8 9 10 11 11 11 11 10 9 8 7 6 6 6 7 9 12 15 18 19 17 15 13 12 11 10 9 7 5 4 4 5 5 6 6 6 6 5 6 6 7 8 9 9 10 10 8 7 5 2 0 -1 -3 -3 -3 -1 3 6 10 12 13 15 16 18 17 17 15 14 13 13 13 12 11 9 8 10 17 23 27 25 19 15 12 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 nan
nan 3 4 4 5 6 7 8 9 11 13 14 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 11 11 11 11 12 12 12 11 11 11 12 12 13 12 12 11 10 9 10 10 11 11 11 11 11 11 10 9 8 7 6 6 5 6 7 8 11 12 14 14 15 14 13 12 10 7 5 4 4 4 4 5 5 5 5 5 4 5 5 6 7 8 9 9 9 8 7 5 3 2 1 1 2 4 6 8 10 11 13 14 15 16 17 17 17 17 16 16 15 14 13 13 14 18 24 27 27 22 16 13 11 10 10 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 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
671 933 1418 1979 2123 2099 2115 2223 2422 2686 2948 3076 2959 2697 2405 2163 2025 2022 2124 2263 2375 2453 2502 2537 2564 2583 2578 2562 2530 2486 2450 2436 2446 2472 2511 2561 2617 2662 2684 2678 2637 2547 2452 2374 2332 2317 2306 2306 2363 2416 2453 2479 2508 2529 2502 2414 2249 2003 1703 1378 1049 747 524 373 243 158 103 66 39 20 12 7 4 2 0 0 0 0 0 0 0 0 1 2 1 3 2 2 3 5 6 7 7 6 4 4 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 18 18 17 21 28 31 31
560 737 1196 1868 2185 2224 2250 2351 2535 2758 2951 3017 2843 2555 2272 2067 1973 1987 2073 2194 2294 2362 2407 2440 2469 2491 2499 2490 2460 2421 2388 2373 2378 2404 2452 2519 2599 2663 2694 2689 2629 2530 2446 2392 2367 2365 2377 2405 2472 2506 2524 2536 2548 2546 2486 2339 2101 1797 1463 1116 793 535 347 230 149 93 55 29 11 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 6 9 14 19 24 27 28
517 657 1096 1792 2274 2350 2354 2435 2606 2806 2949 2951 2733 2439 2181 2013 1941 1951 2023 2123 2200 2247 2282 2315 2350 2380 2406 2409 2391 2366 2345 2335 2341 2366 2421 2504 2602 2670 2691 2675 2619 2535 2466 2425 2407 2408 2428 2463 2518 2553 2574 2589 2585 2538 2413 2186 1904 1577 1217 867 572 360 216 132 80 46 23 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 0 0 0 0 0 0 0 0 0 3 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 8 12 17 19 22
517 637 1044 1714 2304 2472 2458 2521 2681 2856 2941 2868 2612 2332 2108 1965 1902 1910 1970 2048 2101 2115 2138 2165 2197 2252 2304 2329 2334 2330 2326 2330 2345 2373 2440 2524 2614 2669 2679 2658 2610 2543 2491 2458 2440 2439 2456 2481 2530 2576 2604 2598 2533 2391 2170 1868 1561 1248 909 597 359 201 107 57 29 13 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 5 12 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12
531 629 984 1599 2244 2565 2574 2620 2752 2883 2903 2763 2521 2274 2082 1968 1925 1928 1950 1962 1973 1942 1923 1908 1929 2039 2172 2254 2293 2315 2330 2347 2374 2412 2490 2566 2632 2671 2678 2657 2609 2553 2511 2482 2466 2469 2489 2516 2558 2576 2538 2416 2189 1888 1587 1305 1028 779 532 319 167 76 30 13 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 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 3
550 626 905 1436 2101 2608 2697 2724 2824 2895 2843 2683 2463 2263 2123 2038 1994 1974 1950 1886 1864 1799 1682 1546 1513 1691 1988 2189 2275 2323 2354 2378 2412 2471 2532 2597 2643 2662 2659 2638 2599 2550 2514 2492 2482 2476 2483 2518 2507 2356 2114 1800 1419 1029 741 583 440 311 195 104 44 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
562 617 823 1279 1963 2648 2855 2870 2926 2927 2817 2646 2458 2296 2154 2039 1981 1959 1917 1840 1827 1775 1549 1232 1093 1337 1822 2147 2277 2353 2407 2448 2484 2535 2578 2626 2654 2652 2634 2615 2591 2560 2511 2494 2484 2443 2359 2242 1996 1582 1195 858 561 315 159 103 78 53 30 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 1 1 1 2 2 2 3 4 2 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
533 598 779 1215 1940 2746 3035 3074 3059 2974 2822 2638 2453 2272 2107 2000 1947 1914 1869 1818 1802 1746 1629 1448 1308 1383 1769 2117 2280 2388 2470 2528 2560 2584 2615 2649 2660 2638 2618 2608 2562 2537 2480 2433 2331 2116 1786 1404 1004 601 343 190 98 40 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 1 1 1 1 2 3 4 5 6 7 6 7 8 9 10 10 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
444 549 776 1274 2067 2916 3250 3234 3134 2993 2822 2633 2440 2261 2119 2007 1931 1879 1836 1792 1741 1672 1609 1553 1506 1539 1757 2079 2276 2409 2495 2546 2572 2590 2620 2647 2642 2607 2586 2581 2528 2434 2242 2007 1704 1302 846 462 231 96 33 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 0 0 0 1 2 2 2 2 2 2 2 1 0 1 4 6 7 7 6 5 8 14 15 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
326 459 743 1334 2209 3079 3430 3320 3151 2989 2826 2645 2457 2291 2171 2052 1955 1898 1856 1781 1680 1573 1460 1383 1318 1349 1630 2031 2273 2419 2508 2554 2567 2571 2615 2635 2618 2568 2515 2431 2224 1878 1475 1088 764 472 215 59 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 1 0 0 1 1 1 1 1 1 1 1 1 1 2 3 3 4 4 3 1 1 5 18 17 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
215 313 656 1323 2238 3120 3517 3404 3185 3010 2854 2688 2519 2383 2285 2160 2072 2011 1935 1814 1671 1565 1460 1269 967 928 1489 1990 2246 2390 2482 2545 2580 2588 2577 2506 2377 2173 1961 1719 1348 886 545 295 155 76 23 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 1 1 2 3 2 1 1 1 1 2 3 3 3 3 2 1 1 1 1 1 1 0 0 1 3 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
125 174 634 1423 2333 3106 3498 3460 3234 3050 2900 2754 2609 2496 2347 2215 2109 2021 1932 1831 1719 1633 1625 1369 1085 1142 1649 2037 2229 2350 2430 2485 2492 2407 2230 1946 1611 1249 921 635 366 185 83 27 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 1 1 3 3 3 2 2 1 2 2 2 3 5 5 5 4 2 1 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
71 152 786 1739 2644 3234 3457 3467 3280 3085 2935 2801 2655 2511 2365 2228 2111 2014 1929 1851 1780 1749 1683 1727 1812 1904 2012 2124 2204 2249 2242 2172 2009 1725 1348 993 668 409 224 102 27 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 1 2 3 3 4 3 2 1 1 2 2 3 4 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 4 5 6 5 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
58 279 1138 2216 3032 3384 3403 3449 3307 3105 2954 2826 2687 2542 2404 2283 2176 2078 1986 1906 1849 1822 1818 1854 1927 2006 2056 2051 2016 1874 1692 1405 1075 786 517 290 143 63 24 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 1 2 3 4 4 4 3 2 1 0 1 2 2 2 2 2 3 3 2 1 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 2 17 17 10 9 13 17 17 13 11 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
116 590 1715 2832 3412 3479 3378 3442 3310 3123 2975 2843 2705 2561 2422 2305 2206 2113 2025 1954 1909 1856 1835 1838 1859 1839 1741 1608 1518 1209 935 662 410 224 104 38 12 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 1 1 3 4 4 4 3 2 1 0 0 0 1 1 2 2 3 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 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 6 8 5 2 6 11 14 13 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
324 1138 2486 3417 3606 3461 3391 3424 3293 3130 2991 2859 2721 2578 2442 2328 2221 2132 2047 1954 1853 1749 1638 1562 1455 1247 1013 917 823 600 410 248 120 37 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 1 1 1 1 1 1 1 2 2 2 2 1 0 0 0 1 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 22 18 11 4 1 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 1 1 4 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
732 1889 3317 3770 3575 3366 3365 3360 3249 3112 2977 2839 2693 2542 2396 2263 2141 2031 1916 1781 1622 1455 1292 1134 953 755 582 468 366 261 161 81 29 5 0 0 0 0 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 1 1 1 1 0 0 0 2 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 22 21 12 4 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
1364 2759 3909 3724 3407 3274 3282 3243 3141 3011 2871 2718 2550 2370 2186 2003 1873 1716 1566 1420 1266 1107 950 792 636 505 385 262 181 110 54 21 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 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 21 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2195 3533 3938 3431 3208 3156 3131 3050 2924 2786 2629 2454 2263 2057 1849 1662 1464 1309 1178 1055 928 794 654 529 396 290 202 116 59 27 10 3 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 1 1 2 4 5 5 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 16 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2960 3725 3450 3064 2946 2899 2828 2708 2563 2412 2234 2042 1842 1642 1450 1271 1110 985 881 776 660 536 409 294 194 115 58 21 4 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 1 1 1 1 2 2 3 5 5 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 13 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3235 3227 2859 2629 2539 2457 2347 2210 2061 1901 1730 1559 1391 1233 1088 962 846 742 643 535 417 300 195 112 48 14 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 1 1 1 3 3 4 4 4 4 4 3 2 2 1 1 0 0 1 1 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 3 11 14 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2933 2584 2305 2148 2043 1926 1791 1649 1509 1363 1247 1130 1019 914 815 720 623 522 420 315 211 119 53 20 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 1 8 11 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
2332 2051 1858 1704 1563 1430 1294 1163 1045 943 861 786 718 651 581 508 432 344 246 152 77 29 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 1 1 1 1 2 2 2 2 2 2 2 3 3 3 4 4 5 6 6 6 7 8 8 8 8 8 8 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1890 1680 1507 1353 1219 1091 950 814 702 615 547 495 451 408 362 312 259 180 106 51 18 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 1 1 1 1 2 3 4 6 8 9 9 10 10 11 10 11 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1622 1428 1257 1111 985 849 699 562 455 376 324 284 249 219 188 150 107 58 26 9 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 1 1 0 0 0 0 0 0 1 1 2 4 5 7 9 9 10 10 10 11 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1474 1284 1114 968 828 691 518 355 249 209 197 171 140 114 84 48 20 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 10 10 10 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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161 128 102 76 52 30 14 6 2 1 1 1 1 1 1 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 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 2 6 7 8 6 4 2 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 9 25 25 14 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 5 7 11 14 17 20 22 20 16 11 7 4
60 42 31 21 12 7 3 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 7 7 7 6 4 1 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 21 40 39 21 3 2 1 1 1 0 0 1 0 0 0 0 0 0 0 1 3 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 1 3 4 5 8 12 15 17 18 20 24 28 27 24 20 16 12
11 6 3 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 5 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 14 14 9 2 1 0 0 0 0 0 1 0 0 0 0 0 0 1 3 4 5 4 2 1 1 1 0 1 1 1 0 0 0 1 2 4 8 11 12 15 18 21 21 21 22 24 26 27 27 26 24 21
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 1 1 1 1 1 1 1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 4 1 0 0 0 0 1 0 0 0 0 0 0 2 3 4 5 5 4 2 1 2 2 3 3 3 2 2 1 1 2 6 9 12 15 18 20 21 23 24 25 25 25 25 26 26 26 27 29 27
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 13 13 6 1 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 2 1 1 1 1 1 0 0 0 0 1 1 3 4 4 4 5 4 3 4 5 6 7 7 6 5 4 6 8 12 16 18 19 21 24 26 25 25 26 28 28 26 25 25 25 26 29 30 30
1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 15 19 22 7 3 4 4 2 2 2 2 2 1 2 6 8 10 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 4 2 1 1 1 1 1 0 1 1 2 2 3 3 4 6 9 9 9 9 8 8 10 12 13 11 10 12 15 18 22 24 23 23 24 27 28 24 23 24 25 25 27 28 28 27 27 31 31 32
2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 0 0 0 0 0 0 1 2 3 3 3 3 2 2 2 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 0 0 0 0 0 0 0 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 13 27 24 10 11 17 20 16 17 11 9 7 5 5 8 12 15 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 2 1 1 1 0 0 1 1 2 2 1 2 3 4 5 5 5 12 18 11 13 13 14 16 18 20 21 21 24 26 29 32 29 29 28 26 25 26 26 25 27 29 32 33 31 32 33 33 33 35 33 31
2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 1 2 2 2 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 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 7 13 21 30 34 33 32 22 17 15 13 10 10 10 10 9 5 2 1 1 1 0 0 0 2 2 2 2 1 0 1 2 2 3 4 1 2 3 4 5 5 3 2 1 2 4 4 3 2 2 3 6 9 8 9 9 10 13 15 21 26 30 31 31 32 34 37 41 41 39 38 35 33 31 27 25 26 29 33 37 41 43 42 37 37 39 42 42 39 33 29
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 2 3 3 2 2 2 2 2 2 2 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 1 2 7 20 32 42 46 41 31 31 27 23 20 18 11 6 4 3 3 4 8 11 7 4 2 2 3 5 6 6 6 4 4 4 5 5 4 4 1 1 2 3 4 4 3 3 4 5 6 5 3 4 12 22 25 15 14 18 21 21 24 31 41 48 50 48 46 45 45 44 42 39 37 36 34 31 27 25 26 30 36 42 47 51 54 52 49 49 50 51 45 38 31 26
2 2 2 2 2 3 3 4 3 3 3 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 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 1 3 5 9 16 28 45 60 70 68 56 39 35 33 29 24 23 16 11 7 6 7 8 10 11 10 8 8 8 10 10 11 11 11 10 8 8 7 7 6 6 4 3 2 2 2 4 4 4 5 7 7 8 7 13 29 49 59 43 38 37 36 36 40 50 60 65 62 55 52 49 46 43 38 34 32 29 26 24 24 26 30 35 41 46 51 55 58 58 58 59 61 57 48 38 33 31
2 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 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 1 3 6 12 20 29 37 45 55 72 89 96 92 79 62 50 41 33 28 29 25 22 19 18 17 14 14 10 9 10 11 13 15 15 15 16 16 14 11 10 9 8 8 7 5 4 3 3 4 6 6 7 9 9 8 11 13 22 42 72 91 71 58 50 46 48 58 65 66 63 57 51 49 45 41 37 31 26 22 21 21 22 26 29 31 33 35 38 42 48 54 58 60 62 64 59 52 46 45 48
2 3 3 4 4 4 5 5 5 5 4 4 4 3 3 4 4 3 3 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 27 36 47 57 66 73 79 90 100 104 101 91 75 61 45 33 30 31 32 31 28 24 20 14 12 11 11 12 13 14 15 15 16 17 17 15 12 12 11 10 9 9 9 8 8 8 9 10 12 14 15 14 14 20 24 30 43 72 79 69 59 54 54 58 64 62 57 51 47 43 41 36 31 27 22 17 17 18 20 21 24 25 25 24 25 26 29 35 43 50 55 56 57 56 54 53 56 60
3 3 4 4 5 5 6 6 6 5 5 5 4 5 5 5 5 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 3 4 4 3 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 1 7 19 30 39 49 59 68 76 81 85 89 94 99 99 90 75 54 37 28 29 31 29 23 15 11 9 9 10 11 12 13 13 15 16 17 17 16 15 13 13 13 12 11 13 14 14 13 14 14 16 20 24 26 26 28 34 40 40 38 51 56 55 52 53 57 58 54 47 42 40 39 37 35 31 27 23 19 14 15 18 20 19 18 19 20 20 19 18 20 26 33 39 41 39 41 42 42 42 44 46
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3 4 5 5 6 6 7 7 7 6 6 6 7 7 8 7 7 7 7 5 4 3 3 2 2 2 2 2 2 2 2 2 2 3 4 5 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 1 1 2 4 9 17 23 29 36 43 54 66 77 88 102 103 93 75 53 30 10 6 5 5 6 6 7 7 8 9 10 11 13 14 15 16 18 17 15 15 15 16 20 18 30 44 52 56 57 56 53 52 51 52 53 53 51 50 49 45 43 52 80 94 54 32 22 17 15 16 21 24 23 22 20 21 26 23 22 20 16 10 8 6 5 4 4 5 6 10 12 13 14 15 16 15 12 11 10 10 8
2 4 4 5 6 6 7 7 7 7 7 7 8 8 8 9 9 8 7 5 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 2 1 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 3 8 12 17 24 32 41 45 54 77 93 100 98 88 70 46 16 7 6 6 7 7 7 9 11 13 14 14 16 17 19 21 22 20 18 17 16 16 27 23 47 88 125 132 97 79 68 62 58 55 55 56 54 49 45 42 35 32 52 73 33 17 13 13 14 14 16 15 14 13 13 13 18 19 18 15 10 5 3 2 1 1 3 2 3 5 7 9 10 11 12 10 8 7 6 5 6
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