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 4 5 5 5 5 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 7 7 7 6 6 5 4 4 3 3 3 3 3 2 1 0 1 3 5 6 6 7 9 9 7 5 6 7 8 8 8 9 9 9 8 7 7 7 7 7 7 8 10 13 15 12 8 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 3 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 5 4 4 4 3 3 3 2 1 1 2 4 5 6 6 7 8 8 7 5 6 6 7 8 8 8 9 9 7 6 6 7 7 7 7 8 10 13 14 11 8 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 3 3 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 6 6 7 7 7 8 7 7 6 5 5 4 4 4 4 3 2 1 1 2 4 5 6 6 6 6 6 5 5 5 5 6 7 7 8 8 8 7 6 7 7 7 7 7 8 10 12 13 11 7 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 nan
nan 2 3 4 5 5 5 5 5 5 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 6 6 7 8 8 8 7 6 6 5 5 4 4 4 3 2 1 2 3 5 6 6 6 5 4 3 3 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 8 9 12 13 10 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 2 3 4 5 6 6 6 6 5 5 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 5 5 6 6 7 7 8 8 8 7 6 5 5 5 4 4 3 2 2 2 4 5 6 7 6 5 4 3 3 2 2 3 5 6 6 7 7 8 8 8 8 8 8 8 8 9 11 13 12 8 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 3 3 5 7 7 8 8 7 7 6 5 4 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 8 8 7 6 5 5 5 4 4 3 3 2 3 4 6 7 7 6 5 5 5 5 4 3 4 5 6 6 7 7 8 8 8 8 8 8 8 8 9 12 13 12 8 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 4 5 7 9 10 10 10 9 8 7 6 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 8 8 7 6 5 5 5 4 4 3 3 3 3 4 6 6 6 6 5 5 6 7 6 5 4 5 6 6 7 8 8 9 8 8 7 7 8 8 10 12 13 11 8 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 nan
nan 5 6 8 11 13 13 12 11 9 8 6 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 4 4 3 3 3 3 4 5 6 6 5 5 6 7 7 6 5 5 5 6 6 7 8 9 9 9 8 7 7 8 9 10 11 12 11 7 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 nan
nan 6 7 9 12 15 16 15 12 10 9 7 6 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 7 6 6 5 5 4 4 3 2 2 3 5 5 6 6 6 5 5 6 5 5 5 5 5 5 5 6 8 9 10 9 8 8 9 10 11 11 11 12 10 7 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 nan
nan 6 7 10 13 16 18 17 14 11 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 6 6 5 5 4 4 2 2 2 3 5 5 6 6 6 5 5 5 5 5 5 5 4 4 5 6 7 8 9 9 9 9 9 11 13 13 13 12 10 7 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 nan
nan 7 8 10 13 17 18 17 14 11 9 7 6 5 5 5 5 5 6 6 6 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 4 2 1 2 3 4 5 6 6 6 5 5 5 5 5 5 5 4 5 5 6 7 8 9 9 9 8 8 9 12 13 13 12 10 7 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 4 nan
nan 7 8 9 11 14 16 16 13 11 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 4 2 1 2 3 5 5 5 5 5 5 5 6 7 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 9 10 11 11 10 7 5 4 4 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 nan
nan 6 6 6 8 10 12 13 12 9 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 4 3 2 2 4 5 5 5 5 5 5 5 6 7 6 6 7 8 7 7 6 6 6 7 8 7 8 10 10 10 10 10 11 9 7 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 nan
nan 6 5 5 5 7 9 11 10 8 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 4 3 4 5 6 6 6 5 5 5 5 6 6 5 6 7 8 8 7 7 7 7 7 7 7 8 10 11 11 10 10 10 9 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 nan
nan 6 6 6 6 6 7 9 9 7 5 4 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 6 7 6 6 6 6 5 5 6 6 6 6 7 7 8 8 8 8 8 8 8 7 8 10 11 11 10 9 9 8 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 5 6 7 8 7 7 8 8 7 5 3 3 2 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 7 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 nan
nan 4 3 6 8 8 8 8 7 7 5 4 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 8 8 8 9 8 8 7 6 6 7 7 7 7 8 8 8 9 9 10 10 10 9 9 8 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 nan
nan 4 3 4 7 9 9 9 9 8 6 5 4 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 10 11 11 10 10 10 10 11 10 9 8 7 7 8 7 6 6 7 8 8 8 9 8 7 6 6 6 6 7 7 7 7 8 8 10 11 11 11 10 9 9 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 4 4 7 9 10 10 10 9 7 6 5 4 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 9 11 13 14 15 15 14 14 14 14 13 12 10 8 7 7 8 7 6 7 8 7 7 7 7 7 6 6 5 6 6 7 7 7 7 7 8 10 12 12 11 10 9 8 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 7 6 5 7 9 11 10 10 9 7 6 5 4 4 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 10 13 15 17 17 16 15 14 14 14 13 11 9 8 7 7 8 8 7 8 8 8 7 7 6 5 4 5 6 7 7 7 7 7 7 7 8 10 12 12 11 10 9 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 8 7 7 9 10 10 9 8 7 6 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 9 11 14 16 16 15 13 12 11 10 10 9 7 6 6 7 9 10 9 9 9 8 7 7 6 5 4 4 7 8 7 7 7 7 7 8 9 11 13 12 11 10 8 7 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 10 10 10 9 10 11 10 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 11 13 14 14 13 11 10 9 8 7 6 6 6 8 9 10 10 9 9 8 8 7 7 6 4 5 7 8 7 7 7 7 7 8 11 13 13 12 11 10 8 7 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 nan
nan 9 11 12 11 11 11 11 9 8 7 6 6 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 8 9 10 11 12 12 12 11 9 8 8 8 9 9 8 8 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 8 11 13 13 12 11 10 8 7 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 nan
nan 8 11 12 12 11 12 11 9 8 7 6 6 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 8 7 7 8 9 10 12 13 13 13 12 12 11 9 8 7 8 8 9 9 8 6 5 5 6 7 7 7 7 7 7 7 7 9 11 12 12 12 11 10 9 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 11 12 12 12 12 12 11 9 8 7 7 8 8 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 8 9 10 9 7 7 7 7 8 8 7 7 7 7 8 10 13 15 15 13 11 9 8 8 8 7 7 8 7 7 5 4 5 6 7 7 7 7 7 6 6 8 11 13 13 12 12 11 10 9 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 11 12 13 13 14 14 14 13 12 11 10 9 9 10 12 14 16 16 16 14 13 11 10 10 11 12 11 10 9 11 15 17 15 11 9 8 8 8 8 7 7 7 7 7 8 10 11 11 9 7 6 7 8 7 7 6 6 5 6 6 5 5 7 7 7 7 8 8 6 6 7 11 13 13 12 11 11 11 9 8 6 5 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 12 13 14 15 15 15 15 15 16 16 14 13 13 13 13 15 18 20 22 22 20 17 15 16 18 19 19 17 15 15 17 19 17 13 9 8 7 7 7 7 7 7 7 7 7 7 7 6 5 4 5 6 7 7 6 6 5 5 6 7 7 7 7 7 7 8 8 9 8 6 8 11 13 12 12 11 11 11 10 8 7 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 11 12 13 15 15 14 14 14 16 17 17 17 17 15 14 13 14 16 18 22 23 21 19 18 19 21 22 22 19 14 13 13 13 11 9 7 6 7 7 7 7 7 6 7 7 7 7 6 5 5 5 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 9 9 8 10 12 13 12 11 11 11 10 10 9 7 6 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 9 11 12 12 12 11 11 13 14 15 16 16 15 12 10 10 10 11 15 19 18 15 14 14 15 18 19 16 11 8 8 10 10 9 7 6 6 6 6 6 6 6 7 7 8 8 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 11 12 13 12 11 11 11 11 10 9 8 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 8 8 9 9 9 9 10 10 11 11 11 10 9 8 8 7 8 10 13 12 10 9 10 10 11 11 10 8 7 7 9 10 9 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 8 8 7 7 7 7 7 7 7 6 6 6 7 8 9 10 11 13 12 12 11 11 11 11 10 9 8 7 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 8 8 8 8 6 6 6 6 7 8 8 7 7 7 7 6 6 6 7 7 7 7 6 6 6 7 7 6 6 6 7 7 7 7 7 7 8 8 8 7 6 6 7 8 9 10 12 13 12 11 11 11 11 11 10 10 9 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 9 11 13 14 13 11 11 11 12 11 11 10 9 8 7 5 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 nan
nan 8 7 7 6 6 5 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 6 5 5 4 5 5 5 6 7 8 8 8 8 8 7 6 5 6 6 7 7 7 6 6 6 6 6 7 6 6 6 7 7 7 6 7 8 9 11 15 17 16 13 12 12 12 12 11 11 10 9 7 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 6 7 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 9 11 15 18 18 15 13 13 12 12 12 11 10 9 8 7 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 6 6 5 6 7 7 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 10 13 18 19 18 16 14 13 13 12 11 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 7 7 6 6 7 8 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 6 6 7 8 9 12 16 19 20 18 16 15 14 13 12 11 10 10 9 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 6 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 5 6 7 7 7 7 6 5 5 6 8 9 11 10 10 10 9 8 7 7 7 7 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 11 14 18 20 19 17 16 15 14 12 11 10 10 9 9 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 nan
nan 8 8 7 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 9 10 10 10 9 8 7 7 6 6 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 9 10 12 16 19 19 17 16 15 14 13 12 11 10 10 9 9 9 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 9 11 14 18 20 18 16 15 14 13 12 11 10 10 10 10 9 9 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 9 11 13 16 20 20 17 15 14 13 13 11 10 10 10 10 9 9 9 8 8 7 7 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 7 7 8 8 8 8 9 10 12 15 19 21 19 16 14 13 13 12 11 10 10 10 10 9 9 8 8 8 7 7 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 6 7 7 7 7 7 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 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 9 10 10 9 8 8 8 7 7 8 8 9 11 13 18 21 21 19 16 14 13 12 12 11 11 10 10 10 10 9 8 8 7 7 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 7 6 6 6 8 9 10 10 9 8 8 7 7 7 8 9 9 10 12 16 20 22 22 19 16 14 13 12 12 11 11 11 11 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 7 8 9 9 9 8 8 8 8 8 7 6 7 7 8 9 9 9 8 8 7 7 8 8 8 9 10 11 14 17 21 24 24 21 17 15 13 13 12 12 12 12 11 10 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 8 9 10 10 10 9 8 8 7 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 6 6 7 8 8 9 8 8 7 7 7 7 7 8 9 10 11 13 17 22 25 24 22 18 16 14 13 13 13 13 12 12 10 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 7 8 9 10 10 10 9 8 8 7 8 8 8 8 7 7 7 8 8 8 8 8 9 8 8 8 9 9 8 7 7 6 6 6 8 8 9 8 8 8 7 7 6 7 8 9 10 11 13 16 21 24 25 23 21 19 17 15 14 14 13 13 12 11 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 6 5 5 5 6 7 7 7 7 8 9 9 8 8 7 7 7 8 8 8 7 6 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 7 6 6 7 8 9 9 8 8 8 7 7 7 8 9 9 10 11 12 15 19 22 24 25 24 22 20 17 15 14 13 13 12 11 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 8 8 9 9 9 9 9 10 9 9 9 8 7 6 6 5 6 5 5 5 6 6 6 6 6 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 13 16 19 22 24 26 24 21 18 15 14 13 12 11 11 11 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 6 6 7 7 7 8 9 10 10 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 8 9 10 10 10 10 11 13 15 19 23 25 25 22 19 15 14 13 12 11 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 10 10 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 13 18 22 25 26 24 20 16 14 13 12 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 6 7 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 8 8 9 9 8 8 8 8 9 8 8 7 8 8 8 8 9 9 10 10 12 16 20 25 27 25 21 18 15 13 12 11 11 11 11 11 11 10 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 nan
nan 7 7 7 8 9 9 11 11 12 10 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 7 8 8 9 9 9 10 9 10 10 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 7 8 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 14 19 24 27 26 23 19 15 13 12 12 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 nan
nan 8 8 8 9 9 11 13 13 12 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 6 7 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 9 9 8 7 7 8 8 9 9 10 13 17 22 26 26 23 19 15 13 13 12 12 12 12 12 12 11 11 11 10 10 10 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 nan
nan 8 8 8 9 10 12 14 13 10 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 9 9 8 7 6 6 6 7 8 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 9 10 12 16 21 25 25 21 17 15 14 13 12 12 12 13 12 12 12 12 12 11 11 10 10 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 8 8 9 9 11 13 13 11 8 7 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 9 9 9 11 15 20 23 22 19 16 15 14 13 13 13 13 13 13 13 13 12 12 12 11 11 10 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 8 8 9 9 11 12 11 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 7 8 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 9 8 8 8 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 12 16 21 22 20 18 16 15 14 13 13 13 13 13 13 13 13 12 12 12 11 11 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 8 9 9 9 10 11 10 9 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 9 8 7 7 7 8 9 9 9 8 8 7 6 6 6 7 8 8 9 9 9 9 8 7 7 7 7 8 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 8 8 8 10 13 18 22 22 21 19 16 15 14 14 14 13 13 13 13 12 12 12 12 12 11 11 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 nan
nan 7 8 9 9 9 10 9 9 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 8 7 7 7 7 8 9 9 9 8 7 7 6 6 6 7 8 9 10 10 9 8 7 6 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 7 8 8 9 9 9 8 7 7 7 7 7 7 8 10 14 18 21 22 22 20 19 18 18 17 15 13 13 12 12 12 12 12 12 12 12 11 11 10 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 7 8 9 9 9 8 7 7 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 10 10 10 9 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 9 10 10 10 9 8 7 7 7 6 7 7 8 10 13 16 20 21 22 22 23 23 22 19 16 13 13 12 12 11 11 11 11 12 12 12 11 11 10 9 9 8 7 7 7 7 7 6 6 6 6 6 5 6 nan
nan 5 6 7 8 9 9 8 6 7 7 8 8 7 7 7 6 6 6 7 7 8 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 10 10 10 11 11 11 10 10 9 9 8 7 6 7 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 8 7 7 8 8 7 8 9 11 15 16 17 19 21 23 24 23 19 16 14 13 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 7 7 7 6 6 6 6 6 5 5 nan
nan 5 5 6 7 9 9 8 7 7 7 7 7 7 6 6 6 6 6 5 6 7 9 9 10 10 10 10 9 9 8 7 6 7 8 10 10 11 11 12 12 11 10 9 8 8 8 8 7 7 7 8 8 8 9 8 8 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 10 10 11 10 10 9 9 9 9 9 8 8 8 8 10 10 11 12 14 18 22 24 22 20 17 15 14 13 13 13 12 12 12 12 12 12 12 11 11 10 10 9 8 7 7 7 7 7 6 6 6 6 nan
nan 6 6 6 7 8 9 8 7 7 7 7 7 6 6 6 6 6 6 5 6 7 9 9 10 11 11 10 9 8 8 7 6 5 5 7 8 10 11 11 10 9 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 9 9 8 8 7 7 8 8 9 9 9 9 10 11 10 10 9 9 10 11 10 9 8 8 8 7 8 8 8 9 12 17 21 23 23 20 18 16 15 14 14 13 13 13 13 13 13 13 12 12 11 11 10 9 8 8 7 7 7 6 6 6 6 nan
nan 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 9 10 10 10 10 10 9 8 8 8 7 5 3 3 5 7 9 10 8 7 5 4 4 5 5 5 5 6 6 6 5 6 6 7 7 8 7 7 7 6 6 6 6 7 7 8 8 8 9 9 9 8 8 8 7 7 8 8 9 9 10 10 10 10 9 9 9 10 11 10 10 9 8 8 7 7 7 7 8 10 13 17 21 24 24 22 19 17 15 15 15 15 14 14 13 13 13 13 13 12 12 11 11 10 9 8 8 7 7 7 7 6 nan
nan 8 8 9 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 9 8 8 8 7 5 3 3 5 7 9 9 8 6 4 3 4 4 4 4 5 5 5 4 5 5 6 7 7 8 7 7 7 6 5 5 6 7 8 8 8 8 9 9 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 11 11 10 10 9 9 8 8 8 7 7 8 9 9 12 16 20 24 25 24 21 18 17 16 16 16 15 14 14 14 13 13 13 13 12 12 11 10 9 8 8 7 7 7 6 nan
nan 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 9 8 8 8 8 7 6 5 5 6 8 10 10 7 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 8 7 7 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 11 14 19 24 26 25 23 21 20 19 19 18 16 15 15 14 14 14 13 13 12 11 10 10 9 8 8 7 6 5 nan
nan 7 8 7 6 5 5 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 9 7 5 4 5 5 5 5 5 5 4 4 4 5 6 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 10 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 9 12 17 21 25 26 25 24 24 25 25 22 20 17 16 15 14 14 13 12 11 11 10 9 8 8 6 5 5 nan
nan 8 7 6 5 5 6 7 7 8 8 8 8 8 9 10 10 9 9 9 9 9 9 8 7 7 6 6 5 6 6 7 7 7 8 8 8 8 7 7 8 7 6 5 5 6 7 8 8 7 7 6 5 4 4 6 7 7 8 8 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 10 11 11 11 10 9 9 8 8 8 8 7 6 6 6 6 6 7 8 10 14 18 22 24 24 25 28 30 30 26 22 19 17 16 14 13 13 12 11 10 9 8 7 6 5 5 nan
nan 8 8 7 6 6 7 7 8 8 8 8 8 8 9 9 10 9 9 9 9 8 8 7 6 5 4 3 3 3 4 5 6 6 7 8 9 9 8 8 8 8 6 5 5 6 8 9 9 9 8 7 7 6 6 7 7 7 8 8 9 9 10 12 11 10 9 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 10 10 9 8 7 8 9 8 7 7 6 5 5 6 7 7 8 9 11 14 16 17 19 22 25 29 28 25 21 19 17 16 15 13 12 12 11 10 9 8 7 5 4 nan
nan 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 7 8 8 8 7 6 6 5 3 2 2 3 4 4 4 4 5 7 8 9 9 9 10 9 8 6 5 5 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 11 13 13 12 11 10 10 9 9 9 9 8 8 7 7 8 9 8 8 8 8 8 8 7 6 5 5 6 8 9 10 9 8 7 8 9 8 8 7 7 7 6 6 6 7 7 7 8 8 10 11 13 14 17 21 23 23 21 20 19 17 16 15 13 13 12 11 9 8 7 6 5 nan
nan 8 7 7 8 8 7 7 7 8 9 9 8 8 8 7 6 5 5 6 7 7 7 6 6 6 6 5 5 5 5 4 3 3 4 5 6 7 8 9 10 10 9 7 5 6 6 6 6 6 6 7 8 9 8 8 7 7 7 7 7 9 11 12 13 14 13 12 11 11 10 9 9 9 8 8 8 9 9 9 8 8 9 9 8 8 6 5 5 6 6 8 9 10 9 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 11 13 15 16 17 18 19 19 19 18 18 16 15 14 13 12 11 9 8 7 6 nan
nan 9 8 8 8 7 7 8 8 8 9 9 9 8 8 7 6 5 5 5 5 6 6 6 7 8 8 9 8 7 6 6 5 4 3 4 5 5 6 7 9 9 9 8 7 7 6 4 4 4 5 7 8 9 9 9 9 9 8 8 8 9 9 11 12 13 14 14 13 12 11 10 9 9 9 9 9 9 9 9 8 8 9 9 9 8 7 7 7 6 6 7 8 9 10 10 10 10 9 8 8 9 9 8 7 7 7 7 7 7 7 7 9 11 14 17 16 16 17 18 18 18 18 18 17 16 15 14 13 12 11 10 10 9 nan
nan 9 9 8 7 7 8 8 9 9 9 9 9 9 8 7 7 7 6 5 5 5 6 7 7 8 9 10 9 8 8 7 6 6 5 4 5 5 5 5 6 7 9 9 9 8 6 5 3 3 4 6 7 8 9 9 9 9 9 9 9 8 8 8 9 10 12 13 13 12 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 9 9 9 8 8 7 7 7 8 8 7 7 8 10 14 17 18 19 20 21 20 18 18 18 17 17 16 15 14 13 12 12 11 11 nan
nan 9 9 8 8 9 9 10 10 9 9 9 8 8 8 7 7 8 7 6 6 7 7 8 8 9 10 10 9 8 8 8 7 6 5 5 5 5 4 4 5 7 9 10 10 9 7 6 5 4 3 3 4 5 6 7 8 8 8 8 8 8 8 7 7 7 9 10 11 11 11 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 11 11 10 9 9 9 9 8 8 8 8 8 8 7 8 10 13 15 17 19 21 24 24 22 20 18 17 16 16 16 15 15 14 13 13 12 nan
nan 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 9 8 9 10 10 11 10 9 8 9 9 7 5 5 6 6 6 5 4 5 7 9 11 11 10 9 8 7 5 3 1 1 2 3 4 4 5 6 7 7 7 7 6 6 6 6 7 8 9 10 10 10 10 9 9 10 10 11 10 9 7 7 7 8 8 9 10 10 10 11 11 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 8 7 7 7 7 8 9 11 12 12 14 18 21 24 25 23 20 17 15 16 16 16 16 15 14 13 13 nan
nan 9 9 9 10 10 10 10 9 9 7 6 6 7 7 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 10 10 9 6 5 6 7 7 7 6 5 6 8 11 11 11 10 10 10 8 5 3 3 2 2 2 2 2 4 4 5 5 5 4 5 5 4 4 5 7 9 10 10 9 9 9 10 11 11 10 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 8 7 7 7 7 7 7 7 9 9 8 9 11 15 19 23 25 23 19 16 15 15 15 15 15 14 14 13 nan
nan 8 9 10 10 10 10 10 9 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 8 9 11 11 9 7 6 7 7 7 7 6 6 7 9 10 11 12 12 12 10 8 7 6 5 4 2 1 1 2 2 2 2 2 2 4 4 3 2 3 5 7 8 8 9 9 10 11 12 11 10 10 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 7 7 7 7 6 6 7 7 6 6 7 8 12 17 23 24 20 17 15 15 15 15 15 15 14 13 nan
nan 9 10 10 10 10 10 10 9 8 7 7 6 7 7 8 8 8 8 9 9 9 8 9 8 7 7 6 7 8 9 11 12 12 10 9 8 8 7 7 7 7 7 8 9 10 11 13 13 11 9 8 8 7 6 4 3 3 2 2 1 1 1 2 3 3 2 2 2 3 4 5 6 7 8 10 11 11 11 10 10 11 11 9 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 11 11 10 10 10 9 8 8 8 7 6 6 7 7 6 6 6 6 5 4 4 5 9 15 19 19 17 15 14 14 15 14 14 14 13 nan
nan 11 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 9 8 8 8 8 7 6 6 6 7 8 10 11 11 12 11 10 8 8 8 8 8 8 8 8 8 9 11 12 11 10 9 9 8 7 6 6 5 4 3 2 2 2 3 4 4 3 3 3 2 2 3 4 6 7 9 11 11 11 10 10 10 11 10 9 8 8 8 7 6 6 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 8 7 6 5 5 6 7 7 7 7 7 7 6 4 2 4 8 12 14 15 14 13 13 14 14 13 13 13 nan
nan 11 11 11 11 11 10 10 10 10 9 8 8 8 7 7 8 9 9 8 8 7 8 8 8 7 7 7 7 8 9 9 10 10 12 12 10 9 9 9 9 8 8 7 7 7 7 9 10 11 12 11 10 9 8 8 8 7 6 4 2 1 2 3 4 5 5 5 5 3 2 2 3 4 5 7 9 10 11 11 10 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 8 7 5 5 5 6 7 7 7 8 10 11 11 9 6 5 5 6 9 10 11 11 12 12 13 13 13 12 nan
nan 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 11 11 9 8 9 9 9 9 8 8 7 6 6 7 9 10 12 12 12 11 11 11 11 10 10 8 5 3 3 3 4 5 6 6 6 5 3 3 3 3 5 6 7 9 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 8 7 7 8 8 8 8 8 8 9 9 10 10 9 7 6 6 6 7 8 8 8 9 11 14 15 15 14 12 9 6 6 7 8 9 10 10 11 11 11 11 nan
nan 11 11 11 11 11 11 11 10 10 9 9 8 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 9 11 11 10 9 9 9 9 9 9 8 7 7 6 6 7 8 9 11 12 12 12 13 13 13 13 12 11 9 7 5 5 5 6 7 7 6 5 5 4 4 5 5 6 7 7 8 9 10 10 10 11 11 12 12 12 12 11 11 11 9 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 7 8 8 8 8 9 10 12 14 16 18 18 14 10 7 7 7 7 8 8 9 9 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
CAPE
13 10 6 4 4 5 5 6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 11 5 5 5 5 6 7 8 8 8 10 12 15 15 14 11 7 6 5 3 1 0 0 0 0 1 5 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 1
11 7 2 3 3 4 5 5 5 4 2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 2 4 8 5 5 6 6 6 8 9 9 9 10 12 17 18 17 13 10 8 6 4 1 0 0 0 0 4 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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
12 7 0 1 2 4 5 5 5 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 4 5 6 7 7 7 7 8 11 11 12 16 18 17 15 12 10 7 5 0 0 0 0 2 5 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 2 0 0 1 3 5 7 7 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 4 4 5 6 6 6 6 6 7 7 9 11 14 16 16 15 14 13 9 5 1 0 0 0 2 5 6 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 1 1 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
7 1 0 0 1 4 9 12 13 11 7 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 4 4 4 4 4 6 7 7 8 9 12 14 14 14 16 17 12 6 2 0 0 0 2 4 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 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
6 0 0 2 5 11 14 16 17 16 12 7 4 2 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3 4 4 4 5 4 4 6 7 7 8 8 10 11 13 15 18 19 14 7 3 0 0 0 2 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 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
5 0 2 7 12 17 19 21 21 20 17 13 11 7 3 1 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3 4 4 4 5 5 4 6 7 7 8 8 9 10 11 14 19 21 16 8 2 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 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
6 1 8 15 19 23 25 25 26 24 21 18 16 14 12 8 3 1 0 0 0 0 0 1 1 1 1 1 1 2 2 3 4 5 5 6 5 7 8 7 8 9 9 9 10 13 18 22 17 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 7 13 19 24 28 30 30 30 28 24 21 20 19 18 16 14 9 5 2 0 0 1 1 1 1 1 1 1 1 2 2 3 5 4 6 5 7 7 8 9 9 9 9 10 11 16 19 16 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 12 15 21 27 32 36 39 37 31 27 24 22 22 21 21 20 18 13 7 2 2 2 1 1 1 1 1 1 1 1 2 2 3 5 6 6 7 9 10 10 10 10 10 10 11 14 17 15 10 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 1 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
13 14 17 23 29 35 39 43 42 34 29 26 25 24 24 23 22 20 16 9 2 2 2 2 1 1 0 0 0 1 1 1 2 3 5 6 7 8 10 10 11 11 10 10 10 10 12 15 15 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
13 14 18 24 30 34 37 38 38 34 30 27 25 25 25 24 21 18 15 9 3 1 1 2 1 0 0 0 0 0 0 1 2 2 4 5 7 9 10 11 11 11 11 10 10 9 10 13 15 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 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
13 15 19 23 28 32 35 35 33 31 28 27 26 25 24 21 18 15 12 7 2 0 0 1 0 0 0 0 0 0 0 0 1 2 3 4 6 9 11 11 11 12 12 12 12 11 10 12 14 15 11 6 3 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 2 6 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
15 17 20 23 27 30 31 31 29 27 25 25 24 22 21 17 12 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 9 11 12 13 12 12 13 13 13 14 15 15 12 9 8 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 2 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 21 23 24 24 25 25 24 22 21 20 21 20 18 15 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 6 9 10 11 11 12 14 15 16 17 18 18 16 14 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 25 24 22 19 18 16 15 13 14 15 15 14 11 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 6 6 9 9 10 13 16 17 18 20 19 18 21 23 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 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 38 26 13 10 11 8 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 1 1 2 3 4 6 7 8 11 14 16 17 18 17 19 27 27 16 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 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
52 49 23 2 2 6 4 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 7 9 11 14 16 17 22 29 26 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
29 16 5 0 1 3 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 1 1 1 1 1 2 3 4 6 9 13 18 22 29 30 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 3 5 8 13 18 23 27 29 23 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 4 7 13 16 21 22 20 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 4 6 10 11 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 4 6 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 12 12 8 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 16 18 15 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 4 10 17 24 27 24 16 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 5 9 10 13 14 15 17 20 15 10 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 2 3 3 7 5 3 0 6 7 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 6 28 31 21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 23 32 31 50 60 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 9 18 29 35 43 55 61 70 82 82
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 14 15 14 19 28 37 44 53 65 79 88 93 99 111
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 23 33 36 35 34 38 50 61 70 83 98 111 120 125 131 154
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 40 51 56 57 57 65 80 96 112 126 138 151 160 168 182 203
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 3 1 0 0 0 0 0 0 4 9 17 28 45 63 79 86 86 89 101 117 134 154 171 180 195 209 224 237 242
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 17 17 14 21 20 20 18 14 11 7 14 24 33 43 56 71 88 104 112 117 125 138 158 177 196 222 236 248 264 280 284 273
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 5 17 30 38 41 45 50 56 59 59 57 56 53 50 59 63 66 75 93 113 118 126 132 145 159 175 199 226 247 273 290 300 310 317 312 291
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 18 12 3 0 0 0 0 0 0 0 0 0 2 12 30 42 49 62 74 86 96 105 111 114 113 110 112 114 115 115 116 121 134 143 149 159 175 197 220 246 276 301 319 332 339 341 337 325 306
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 30 42 43 36 19 5 1 0 0 0 0 0 0 0 4 19 41 50 66 80 97 116 135 153 169 180 188 192 194 194 191 188 185 183 186 189 195 207 227 252 280 309 340 359 370 375 375 370 362 351 338
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 39 49 52 51 39 25 13 0 0 0 0 0 0 0 2 13 44 53 70 87 108 134 162 190 215 238 255 269 281 287 285 279 275 267 265 263 265 273 290 312 335 364 393 409 414 414 410 401 395 390 381
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 39 51 56 56 52 42 26 0 0 0 0 0 0 0 0 2 32 54 73 89 109 139 174 208 240 276 314 346 371 388 393 390 385 373 355 346 343 342 348 359 373 391 410 425 433 434 431 428 426 423 423
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 32 47 58 61 58 51 38 12 2 0 0 0 0 0 0 0 18 44 65 81 100 132 169 207 246 290 342 390 431 466 489 503 506 502 491 474 455 442 437 432 438 445 448 451 454 457 458 463 464 466 471
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 19 38 57 63 65 61 48 27 8 1 0 0 0 0 0 0 7 29 54 72 89 116 151 191 233 280 337 397 451 502 544 577 593 599 599 593 579 565 556 547 539 531 523 515 509 510 518 527 528 529 532
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 44 54 66 62 54 42 24 9 1 0 0 0 0 0 1 13 37 56 76 98 131 169 209 255 307 369 439 502 553 593 621 644 666 679 679 671 668 659 640 617 598 590 578 572 572 575 569 566 581
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 29 44 52 67 61 42 27 9 0 0 0 0 0 0 2 11 27 57 80 110 144 182 224 270 325 400 470 529 576 616 653 690 718 731 737 740 735 725 709 679 656 639 618 598 579 560 553 551
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 21 35 57 63 48 38 22 2 0 0 0 0 0 0 0 7 34 60 87 118 153 191 234 286 354 422 486 543 589 628 679 714 743 763 774 780 784 787 763 732 700 666 633 605 581 564 556
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 16 35 49 53 49 42 11 1 0 0 0 0 0 0 0 18 39 63 91 121 157 199 249 306 368 434 503 566 614 658 695 727 759 788 809 823 826 808 784 757 722 686 654 619 590 578
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 28 46 48 52 28 12 4 0 0 0 0 0 0 6 16 33 65 88 121 161 206 256 312 378 451 523 584 632 668 700 734 772 802 831 845 841 828 802 770 737 697 668 631 608
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 19 35 44 41 31 16 0 0 0 0 0 0 0 1 9 38 59 86 122 164 210 261 323 389 461 532 592 634 665 693 726 753 787 815 835 827 800 773 738 697 671 644 623
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 25 34 38 36 9 3 1 0 0 0 0 0 0 12 26 52 84 120 164 214 270 330 396 466 532 583 621 653 678 698 740 774 792 802 785 751 716 684 653 626 609
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 21 40 28 16 5 1 0 0 0 0 0 1 6 25 55 83 119 164 217 274 334 398 460 516 561 598 627 647 681 721 754 773 779 763 737 710 678 640 602
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 27 27 20 10 2 0 0 0 0 0 0 10 30 48 78 113 160 216 277 338 394 440 482 523 562 594 624 655 686 721 744 749 744 732 711 685 660
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 16 27 25 8 0 0 0 0 0 0 0 1 15 44 72 108 156 214 273 323 361 402 446 493 539 582 623 669 675 684 691 694 695 699 691 680
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 6 1 0 0 0 1 0 0 0 3 22 43 67 101 145 201 249 288 328 373 424 477 528 567 588 606 617 625 632 647 656 658 656
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 3 8 10 8 13 6 9 19 29 41 58 83 126 172 213 252 296 350 407 464 501 523 535 546 561 578 605 616 624 627
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 33 31 32 33 31 29 37 49 71 102 139 179 214 266 326 381 421 446 462 478 501 521 534 552 573 591
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 37 49 60 58 49 38 36 36 41 54 81 120 142 184 236 288 330 364 394 420 441 467 490 518 545 562
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 52 82 85 76 62 48 34 27 29 40 68 89 120 154 193 238 284 317 338 365 394 425 458 491 518
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 29 63 84 90 86 71 51 34 28 27 35 49 71 95 121 155 205 243 266 287 309 335 366 402 443
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 31 55 78 91 90 78 57 43 35 29 31 41 55 78 105 130 161 192 213 228 247 268 299 346
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 24 45 65 80 85 77 67 56 44 36 35 38 46 60 76 96 119 136 151 172 194 212 246
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 32 51 71 88 86 80 69 55 45 39 39 33 49 66 74 79 88 103 124 145 171
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 21 40 53 72 88 90 81 65 49 43 42 47 50 53 57 63 65 73 89 111
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 29 51 76 92 103 95 83 74 65 55 49 51 50 44 41 46 59 72
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 29 51 74 98 103 102 99 90 80 71 67 61 55 50 46 49 58
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 27 53 77 96 108 112 113 114 106 93 87 86 85 78 69 70
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 31 53 76 94 102 125 140 135 121 113 110 95 84 78 73
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 27 49 70 80 110 133 149 147 131 128 115 96 84 78
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 22 36 56 87 114 145 164 146 139 131 116 103 91
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 28 55 85 121 154 154 152 156 148 131 112
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 24 47 88 130 146 156 171 176 159 141
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 20 47 86 113 137 153 156 151 170
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 38 68 100 132 155 157 188
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 28 55 100 135 157 186
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 56 88 126 166
0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 52 97 148
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 33 75 129
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 63 120
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 67 129
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 29 85 152
0 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 3 3 4 4 2 2 4 3 3 3 4 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 45 109 183
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 6 8 10 12 13 14 13 14 13 11 9 8 9 10 7 5 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 25 81 149 225