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 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 3 3 4 5 6 7 7 6 6 6 5 5 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 4 5 7 7 6 4 4 5 6 6 6 6 7 7 8 8 7 7 7 7 7 7 9 11 13 11 7 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 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 5 6 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 5 4 4 4 5 5 6 7 6 6 5 5 5 5 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 4 6 7 7 6 5 4 4 5 6 6 6 7 7 8 8 8 7 7 8 8 8 10 13 13 10 7 5 5 5 5 5 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 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 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 6 5 4 4 4 5 5 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 5 6 7 8 7 6 5 4 4 5 6 6 7 7 8 8 8 7 7 8 8 8 9 11 12 10 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 5 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 5 5 4 4 4 5 5 6 5 6 6 6 6 5 5 4 4 4 4 3 3 3 2 2 1 2 2 3 4 6 8 9 8 7 5 4 4 5 6 6 7 7 8 8 8 7 7 7 8 8 8 9 10 9 7 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 3 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 3 2 2 1 1 2 2 4 6 7 8 7 5 4 4 4 5 5 6 7 7 7 7 8 8 8 8 8 8 8 9 10 9 7 5 4 4 4 4 4 4 4 4 4 4 5 5 5 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 5 5 5 5 5 5 5 5 5 5 nan
nan 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 3 3 3 4 5 5 5 6 6 5 5 5 5 5 5 4 4 3 3 2 2 1 1 2 3 5 6 7 6 5 4 4 4 5 5 6 6 7 7 7 7 7 7 8 8 8 8 9 10 9 7 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 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 5 5 5 5 5 5 nan
nan 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 1 1 2 3 4 5 6 6 5 5 5 5 6 6 6 7 7 8 7 6 6 6 7 7 7 7 8 9 9 8 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 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 5 5 5 nan
nan 4 4 4 4 5 5 5 5 5 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 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 2 2 1 2 3 3 3 5 6 7 7 7 7 7 6 6 7 8 8 8 7 6 6 7 8 7 7 8 9 9 8 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 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 nan
nan 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 2 2 4 6 7 8 8 9 8 6 6 6 7 8 8 8 8 9 10 11 10 8 8 9 9 8 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 5 5 4 4 4 4 5 5 5 5 6 6 6 6 5 5 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 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 3 5 7 8 8 8 7 6 6 6 7 8 9 9 9 9 10 12 12 10 9 9 9 8 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 5 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 4 4 3 3 3 4 4 5 6 8 8 7 7 6 6 6 6 6 7 8 9 8 7 7 9 10 10 9 9 9 8 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 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 4 4 3 4 5 6 8 10 9 8 8 7 7 7 6 6 6 7 8 8 7 7 6 6 7 8 8 9 9 7 5 4 3 3 4 4 4 4 5 5 5 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 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 7 7 7 6 5 4 4 4 4 5 6 6 7 7 7 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 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 5 7 9 10 9 8 9 8 8 7 7 6 5 6 7 7 7 7 7 7 7 8 8 9 9 7 6 4 4 4 4 4 4 4 5 5 5 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 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 10 10 9 7 5 4 3 4 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 11 9 8 9 9 9 8 7 7 6 6 7 7 6 6 6 7 8 9 9 9 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 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 11 13 15 14 11 8 5 4 4 5 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 7 10 13 13 12 10 9 10 10 9 7 7 7 7 7 7 7 6 5 4 5 7 9 10 10 10 9 7 5 5 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 6 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 11 13 15 17 15 12 8 6 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 8 12 17 19 15 11 9 9 10 9 7 6 6 7 7 8 8 7 6 4 3 4 6 9 10 11 10 9 7 5 4 4 4 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 4 4 4 4 4 4 4 4 4 nan
nan 11 10 11 13 14 13 10 8 6 6 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 10 15 19 17 13 9 8 8 9 8 6 5 6 6 7 7 7 7 6 4 3 4 6 9 11 12 11 9 7 5 4 4 4 5 5 5 5 6 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 5 5 5 5 5 5 4 4 4 4 4 4 4 nan
nan 9 7 6 8 10 11 11 9 8 7 6 6 7 7 7 7 7 6 6 5 5 5 5 4 4 4 3 3 4 4 4 5 5 6 6 7 7 8 8 8 8 7 7 7 7 6 6 5 5 6 6 6 6 7 8 11 13 13 10 8 8 8 8 7 6 5 5 6 6 6 7 7 6 6 5 4 4 6 9 11 12 11 9 7 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 5 5 6 6 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 4 nan
nan 7 6 5 6 7 9 9 9 9 8 7 6 6 6 7 7 7 6 6 6 5 5 5 4 4 3 3 3 3 4 4 4 5 6 7 7 8 9 11 11 10 9 8 7 7 7 6 6 5 5 6 7 8 10 10 10 8 6 5 6 7 7 7 6 5 5 5 6 6 6 6 6 6 5 4 4 5 6 9 11 12 11 9 7 6 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 5 6 6 6 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 nan
nan 8 6 5 5 6 7 7 8 8 8 7 6 6 6 6 7 7 7 7 6 6 6 5 5 4 4 3 3 3 3 4 4 5 6 7 8 10 12 15 17 17 14 12 9 8 7 6 6 5 5 5 8 12 15 14 9 6 5 4 5 6 7 6 5 5 5 5 5 6 6 6 6 5 5 4 4 5 6 8 10 12 11 10 8 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 nan
nan 9 8 7 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 6 5 5 4 4 3 3 3 4 4 5 6 7 8 11 15 19 22 23 22 18 15 12 9 7 6 5 4 5 9 14 18 16 10 7 7 7 7 7 6 5 4 5 6 6 5 6 6 6 6 7 6 5 5 5 5 7 9 11 12 10 9 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 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 4 4 4 nan
nan 10 11 10 8 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 6 8 11 14 17 19 21 24 25 25 22 19 16 12 9 7 6 6 8 11 13 12 9 8 8 8 9 8 7 5 4 6 7 6 6 6 6 6 7 8 8 7 6 5 5 6 8 10 11 11 9 8 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 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 4 4 nan
nan 9 10 11 9 8 7 7 6 6 6 7 7 8 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 4 4 5 5 7 11 15 16 16 15 15 18 21 24 25 24 23 19 17 15 14 13 10 8 7 7 7 7 7 8 8 9 8 7 7 7 7 6 6 6 6 6 6 7 8 7 6 5 5 6 8 9 11 11 10 9 7 6 6 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 9 10 9 8 8 8 7 7 7 8 9 10 11 12 12 12 11 10 8 7 7 6 5 5 5 5 5 5 5 5 6 7 12 15 17 16 13 11 10 11 13 16 19 22 23 24 24 23 23 21 15 9 6 6 5 5 5 6 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 6 7 8 10 11 10 9 8 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 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 10 10 10 9 9 9 9 10 10 10 11 12 13 13 14 15 15 13 12 10 8 7 6 6 6 6 6 6 7 10 12 14 17 17 16 14 11 10 9 8 8 9 11 14 18 22 24 23 22 18 13 9 6 5 4 4 4 5 6 6 7 7 7 6 6 6 6 6 6 6 7 8 7 6 6 6 5 6 6 8 9 10 10 10 9 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 12 12 11 11 11 11 11 12 13 13 13 13 13 13 14 15 18 19 19 18 16 13 11 11 12 12 11 10 11 13 18 22 23 19 16 13 11 10 9 8 8 7 7 7 8 11 14 15 14 12 9 7 6 5 5 4 4 5 6 7 7 7 7 7 7 6 6 6 6 5 6 8 8 8 7 6 6 6 6 6 7 9 9 10 10 9 8 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 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 nan
nan 12 13 13 14 14 14 14 14 15 16 16 15 14 13 13 14 17 20 22 22 21 20 19 20 21 21 20 19 18 18 21 23 22 17 12 10 9 8 8 8 7 7 6 6 6 6 7 7 7 6 5 5 5 5 5 5 6 6 7 7 8 7 7 7 7 7 7 7 7 6 7 8 8 8 7 6 6 6 6 6 7 8 9 10 10 9 9 8 7 6 6 5 5 5 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 11 12 14 14 14 14 14 15 16 17 17 16 14 13 12 13 15 17 20 22 22 22 22 23 23 24 24 22 18 15 15 14 13 10 7 6 6 7 7 7 7 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 8 8 8 9 10 9 8 7 7 6 6 6 6 7 8 9 9 10 9 9 8 7 7 6 5 5 5 5 6 6 6 7 7 7 6 6 6 6 6 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 nan
nan 6 7 9 11 11 12 12 12 13 13 14 16 16 14 12 10 9 9 11 14 18 18 17 16 16 18 20 20 18 14 11 10 11 11 9 6 5 6 6 6 7 7 7 6 6 6 7 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 8 8 9 10 10 10 9 8 7 7 7 7 6 7 8 8 9 9 9 9 8 8 7 6 6 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 6 6 6 6 6 nan
nan 5 5 6 7 8 8 9 9 10 10 11 11 11 10 9 7 7 6 7 10 13 13 12 11 11 12 13 13 12 10 9 9 10 10 9 7 5 6 6 5 6 6 6 6 6 5 6 7 8 6 5 5 6 6 6 5 5 6 6 7 7 7 7 6 6 7 7 8 8 9 10 11 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 7 6 6 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 5 6 7 7 6 7 8 8 8 8 8 7 7 6 6 6 6 8 10 10 9 8 8 8 8 8 8 7 7 7 8 9 8 7 6 6 6 6 6 6 6 6 6 5 5 6 8 8 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 9 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 6 7 7 6 6 7 7 7 7 7 7 7 6 6 5 5 5 7 8 8 6 5 6 6 7 7 6 5 5 6 6 6 6 6 7 6 6 6 6 7 7 7 6 5 6 7 9 9 7 6 5 4 4 5 6 7 7 7 7 7 7 7 7 8 8 8 10 12 13 13 10 9 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 7 7 6 5 5 5 6 6 5 5 5 6 6 6 6 6 5 5 4 4 5 5 6 6 7 7 7 7 8 8 7 6 6 6 8 9 9 8 6 5 4 4 5 6 6 6 6 6 7 7 7 8 8 9 11 14 16 16 13 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 7 7 6 6 6 7 7 7 8 9 9 7 6 6 5 5 5 5 5 5 5 5 6 6 7 6 6 5 4 4 5 6 6 7 7 7 8 8 8 7 7 7 6 6 7 8 9 9 7 6 5 5 5 5 5 5 6 7 7 7 7 8 8 10 13 17 18 15 12 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 5 6 6 6 6 7 7 6 6 6 6 6 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 nan
nan 7 7 7 8 8 7 7 7 6 7 7 7 7 8 9 10 10 8 7 7 6 6 5 6 6 6 6 6 6 7 7 7 7 6 6 5 5 6 6 7 7 7 7 8 8 7 7 7 6 5 5 6 8 9 9 7 6 5 5 5 5 5 6 7 7 6 7 7 8 9 11 16 18 17 14 11 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 6 7 7 7 7 7 7 6 7 7 7 7 6 5 4 4 6 7 7 6 5 5 5 5 6 6 6 7 7 6 6 6 7 8 10 14 17 17 15 13 11 10 9 9 9 8 8 9 9 9 10 10 9 9 8 8 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 6 6 6 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 7 8 11 15 17 16 14 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 7 6 6 6 6 6 7 8 8 8 8 7 7 6 7 6 6 6 6 6 6 7 8 8 7 6 6 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 5 6 6 7 9 13 17 17 14 12 10 10 9 9 9 8 8 9 9 9 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 7 8 8 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 8 8 8 8 7 7 6 5 6 6 6 6 6 7 8 11 15 17 15 12 11 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 7 7 7 7 7 8 9 9 8 8 7 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 8 8 8 7 7 7 6 7 7 8 9 9 9 9 8 7 6 6 7 7 6 6 7 8 10 13 16 16 14 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 6 6 6 6 6 7 7 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 9 12 16 17 16 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 9 10 10 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 8 8 7 7 7 7 8 10 14 17 18 16 13 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 9 9 8 8 7 7 7 6 7 8 12 16 19 19 16 14 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 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 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 10 10 9 8 7 7 7 7 8 8 7 7 8 8 8 8 8 7 7 7 6 7 9 13 17 20 20 18 15 13 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 7 6 6 6 7 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 11 10 9 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 7 9 12 17 21 22 20 17 14 14 13 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 9 10 11 10 10 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 9 12 16 20 22 22 20 18 17 15 13 12 12 12 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 6 7 7 8 8 9 9 9 9 9 9 9 10 9 8 7 6 6 6 5 5 5 5 6 7 7 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 11 14 19 22 23 23 22 20 17 15 14 13 13 12 11 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 nan
nan 6 6 7 7 7 7 7 8 8 9 9 8 8 8 9 9 8 8 7 7 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 10 12 15 19 22 24 23 21 18 16 14 13 13 12 11 11 11 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 6 6 6 7 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 7 7 8 8 8 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 12 16 20 23 23 21 18 15 13 13 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 6 6 6 7 7 7 8 8 9 9 9 8 8 8 7 7 6 7 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 11 15 19 22 24 22 18 15 13 13 13 12 12 12 11 11 11 10 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 6 6 6 7 7 8 8 9 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 8 8 9 9 8 8 7 8 8 8 9 9 9 8 8 7 7 7 8 8 8 9 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 14 18 22 24 23 19 16 14 13 13 12 12 12 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 6 6 7 6 6 7 nan
nan 7 7 7 7 7 8 9 10 10 10 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 8 9 10 10 10 10 9 9 8 8 8 9 8 7 7 7 7 7 8 7 6 7 7 7 8 10 12 17 22 24 24 22 18 15 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 6 7 7 7 7 8 9 10 11 9 8 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 9 9 8 8 7 8 9 9 8 8 7 7 7 7 7 6 6 6 7 7 8 9 11 16 21 24 25 22 18 15 14 13 13 12 12 12 12 11 11 11 10 10 10 10 9 9 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 nan
nan 6 7 7 7 8 9 10 11 10 9 8 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 9 9 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 8 9 9 8 8 8 8 8 7 6 6 6 6 6 7 7 7 8 10 14 19 23 23 20 16 14 14 13 13 13 13 12 12 12 12 11 11 10 10 10 9 9 8 8 7 7 6 5 5 4 4 4 5 5 5 6 6 6 6 7 7 7 7 nan
nan 6 6 7 7 8 9 10 11 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 6 6 5 5 5 5 5 6 7 7 9 14 19 22 21 17 15 14 14 13 13 13 13 13 12 12 12 11 11 10 10 10 9 9 8 8 7 6 6 5 5 4 4 4 4 5 5 6 6 6 7 7 7 8 nan
nan 6 6 7 7 7 9 10 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 8 7 7 7 7 8 9 9 8 8 8 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 7 6 6 5 5 4 4 5 6 7 10 16 20 22 19 17 15 14 14 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 8 8 7 6 6 5 5 5 4 4 4 5 5 6 6 6 7 7 8 nan
nan 7 6 6 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 9 9 8 8 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 8 9 9 10 9 9 8 8 8 9 10 10 9 8 8 7 7 6 5 5 5 5 6 8 12 17 21 21 20 18 16 15 15 15 15 14 14 13 13 12 11 11 10 10 10 9 9 9 8 8 7 7 6 6 6 5 5 4 5 5 5 5 6 6 7 7 nan
nan 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 7 7 7 8 9 10 10 10 9 8 8 9 10 10 10 10 9 9 8 8 7 6 6 6 5 6 8 12 16 20 21 21 19 18 18 18 18 16 15 14 13 12 12 11 11 10 10 9 9 9 9 9 8 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 nan
nan 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 6 6 7 8 8 7 7 7 7 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 10 11 11 10 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 7 6 6 7 10 14 18 20 20 22 22 23 23 21 17 15 13 13 12 11 11 11 10 10 9 10 10 9 9 8 8 7 7 7 7 6 6 6 5 5 5 5 5 6 nan
nan 7 8 8 8 8 8 8 7 7 6 7 7 7 6 6 6 6 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 6 7 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 8 7 7 9 9 7 6 7 9 13 16 17 18 21 23 25 24 20 17 15 13 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 5 5 5 5 5 nan
nan 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 6 6 7 7 7 8 8 9 10 10 9 9 9 9 8 8 8 8 10 11 11 10 10 10 10 10 9 9 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 9 9 9 9 10 10 10 10 10 11 11 11 10 9 8 9 10 10 9 8 7 8 9 10 11 11 13 17 22 24 23 20 17 15 13 12 12 12 11 11 11 10 10 10 11 10 10 9 9 8 8 8 7 7 7 6 6 5 5 5 nan
nan 8 8 8 8 9 9 8 7 7 6 6 6 6 5 5 6 6 6 6 7 7 8 9 10 10 10 9 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 9 9 10 11 11 11 10 9 8 7 7 7 7 8 12 17 22 24 24 21 17 15 13 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 8 8 8 7 7 6 6 6 5 nan
nan 7 8 8 9 9 9 8 8 8 7 7 7 7 6 6 6 5 6 6 7 8 8 9 9 10 9 8 7 6 7 8 8 7 6 5 6 7 8 8 9 9 9 9 8 8 8 7 7 8 8 7 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 11 11 11 11 10 10 9 9 10 10 11 11 11 10 10 8 7 7 7 7 7 9 13 17 22 25 25 22 18 15 14 13 13 12 12 12 12 11 11 12 12 11 11 10 10 9 9 8 8 8 7 7 6 6 nan
nan 7 8 9 9 9 8 8 8 9 8 8 8 8 8 7 6 6 5 6 8 9 9 9 9 9 8 8 8 7 8 8 8 7 5 4 4 6 7 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 10 9 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 9 10 10 9 8 7 7 7 7 8 8 9 12 17 22 26 27 25 21 17 15 14 13 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 7 7 nan
nan 8 9 9 9 8 7 7 8 8 8 8 8 8 9 8 8 8 8 9 10 10 10 10 10 9 8 8 9 9 8 8 8 8 6 5 5 6 7 8 9 10 10 8 7 7 7 6 6 6 7 7 7 8 9 10 11 11 11 12 12 12 10 9 8 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 11 11 10 9 9 9 9 9 8 7 7 7 7 7 7 7 8 11 15 21 26 28 27 24 21 19 17 16 15 14 13 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 7 nan
nan 7 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 6 7 7 7 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 8 9 10 11 11 11 11 12 11 10 9 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 11 12 11 10 9 9 9 9 8 8 7 7 7 7 7 7 6 6 7 9 13 19 24 27 28 27 25 25 25 24 21 18 15 13 13 13 12 12 12 12 11 11 10 10 9 9 8 8 nan
nan 7 7 7 7 7 8 8 8 9 9 8 8 8 9 11 12 12 12 12 11 10 10 10 9 9 9 8 7 6 6 6 6 6 6 7 8 8 9 9 9 7 6 5 4 5 5 5 6 7 8 8 8 7 7 8 9 9 9 10 10 11 11 12 12 11 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 9 10 11 12 12 12 11 10 9 8 8 7 7 7 7 7 6 6 6 5 6 7 8 11 16 20 24 27 27 28 30 31 30 25 20 16 14 14 13 13 13 13 12 11 11 10 10 9 9 8 nan
nan 7 7 6 6 7 8 8 8 8 9 9 8 8 9 10 11 12 12 11 10 10 9 9 9 8 7 6 4 4 4 5 5 6 7 7 8 8 9 9 9 8 6 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 11 13 13 12 11 11 10 11 11 10 10 9 9 8 8 9 9 8 8 7 7 8 8 9 9 10 11 12 11 11 10 9 8 7 7 8 8 8 7 6 5 5 5 6 7 8 9 12 15 18 19 21 23 26 28 26 22 19 16 15 14 14 13 13 12 12 11 11 10 10 9 8 nan
nan 7 7 6 7 7 8 8 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 7 5 3 3 3 4 4 5 6 7 7 8 9 10 10 9 7 5 4 5 6 7 7 8 7 7 7 8 8 8 8 7 7 7 7 8 9 11 12 12 12 12 11 11 11 10 10 10 9 8 8 9 10 9 9 8 7 7 8 8 7 7 8 9 11 11 11 10 8 7 8 8 9 9 9 8 7 6 5 5 5 6 7 7 8 10 11 12 14 16 19 21 20 19 17 16 15 15 14 13 13 13 12 12 11 10 9 9 nan
nan 7 7 7 7 8 8 7 7 7 8 8 9 8 8 7 6 6 6 6 8 9 9 9 9 8 7 6 4 4 4 4 4 5 5 6 7 8 9 11 12 12 10 8 7 6 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 6 8 9 11 12 12 12 12 11 10 10 10 10 9 9 9 10 10 11 10 9 8 8 8 8 7 7 7 8 9 10 11 11 10 9 9 9 9 9 10 10 9 8 6 5 4 5 6 6 7 8 9 10 12 13 15 16 16 16 16 16 15 15 15 14 13 13 13 12 12 11 10 9 nan
nan 8 7 7 7 7 7 7 6 6 7 8 9 9 8 7 6 5 4 5 6 8 9 9 9 8 7 7 6 6 6 6 6 5 5 6 7 8 9 11 12 13 12 11 9 8 8 7 6 6 6 6 7 8 9 9 9 8 7 6 5 6 7 8 9 10 11 12 12 11 10 9 9 9 9 10 10 10 10 11 11 10 9 9 9 8 8 8 7 8 8 8 9 10 11 11 11 10 9 9 9 10 10 9 8 6 5 5 6 6 7 8 9 10 13 15 15 15 16 17 16 15 14 14 14 14 14 13 13 12 12 12 11 10 nan
nan 9 8 8 7 6 6 6 6 7 7 8 9 9 9 8 7 7 7 7 7 8 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 8 9 10 11 12 12 12 10 8 7 6 5 5 6 7 8 8 8 8 7 7 6 6 6 7 8 8 9 9 10 10 10 10 9 9 8 8 9 10 10 10 10 11 11 10 10 9 9 9 8 8 8 8 8 8 9 10 12 12 12 11 10 9 10 10 10 9 8 7 6 6 7 7 8 9 11 14 17 18 19 20 21 19 16 14 14 14 14 14 13 13 13 12 12 12 11 nan
nan 9 9 9 7 6 6 7 8 8 9 9 10 10 9 9 8 9 9 9 8 8 8 8 9 9 10 9 8 8 8 8 6 6 5 5 5 5 6 7 8 9 11 12 13 11 9 8 7 6 5 5 5 6 7 6 6 6 6 6 6 7 7 7 7 7 8 8 7 8 9 10 10 9 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 10 10 10 9 9 8 8 7 7 7 8 9 11 14 17 19 21 23 25 25 22 19 16 14 14 14 14 13 13 13 12 12 12 nan
nan 10 10 10 9 8 8 9 10 10 11 11 10 10 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 9 9 7 5 5 5 5 5 6 6 7 8 10 11 12 11 10 9 8 7 5 5 5 5 4 4 4 4 5 5 6 6 6 6 5 6 7 7 6 7 8 9 10 10 9 9 10 10 10 9 8 7 7 7 8 8 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 8 7 7 8 9 11 13 14 15 16 19 23 27 27 25 20 16 14 14 14 13 13 13 13 12 12 nan
nan 12 12 12 11 11 11 11 11 12 13 12 11 10 9 9 9 9 9 9 9 8 6 6 7 9 11 11 11 10 11 10 8 6 4 4 6 7 7 7 8 8 10 11 11 11 11 10 10 8 7 6 6 5 3 3 2 3 4 4 5 6 6 6 6 7 7 7 7 7 8 9 10 10 10 10 11 12 12 10 8 7 7 6 6 7 8 9 9 9 10 10 11 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 8 8 7 8 9 9 10 10 9 10 12 16 21 25 27 25 19 15 14 14 14 14 13 13 12 12 nan
nan 14 14 13 13 12 12 12 12 12 12 12 11 10 10 10 9 9 9 10 9 9 8 8 8 10 11 12 11 11 11 11 11 8 6 5 6 8 8 8 8 9 10 10 10 11 12 12 12 10 8 8 7 6 4 3 3 4 5 6 8 9 10 9 9 9 8 7 7 8 8 9 9 9 10 11 12 13 12 10 9 9 8 7 6 6 7 8 8 8 8 9 10 11 11 12 12 11 11 11 10 10 10 9 9 9 9 9 9 8 7 8 8 8 8 7 7 7 7 9 12 17 24 25 21 18 16 15 14 14 13 13 12 12 nan
nan 15 15 15 14 14 13 12 12 12 12 12 11 10 10 10 9 9 9 9 10 11 11 11 10 11 11 11 11 10 10 11 12 11 10 8 8 8 9 8 8 9 9 10 10 11 13 14 14 12 10 9 8 7 5 5 5 5 7 8 10 12 12 11 10 9 7 6 5 6 7 8 9 9 10 11 12 12 12 11 10 11 10 8 7 6 6 7 7 7 7 8 9 10 10 11 12 12 12 12 11 11 11 10 9 9 9 9 9 8 7 8 9 9 9 8 7 6 4 3 3 7 14 19 19 18 16 15 14 13 13 12 12 11 nan
nan 16 16 16 16 15 14 13 13 13 14 13 13 11 10 10 10 9 9 9 11 12 13 12 12 11 11 10 9 9 9 10 11 12 12 11 10 9 9 9 9 9 9 10 10 10 11 13 14 13 11 10 9 7 6 6 6 6 7 7 8 8 8 9 9 8 6 5 5 6 6 7 8 8 9 10 11 11 11 11 11 12 12 11 10 9 8 7 7 6 6 6 7 8 9 9 10 11 11 11 11 12 11 11 10 10 9 9 8 8 8 8 9 9 10 9 9 8 6 2 -1 1 5 10 13 14 14 13 13 12 12 12 11 11 nan
nan 15 15 16 17 17 16 15 14 15 16 16 15 13 12 12 11 11 11 11 13 13 12 12 12 11 10 9 8 8 9 10 11 12 13 12 10 9 10 10 10 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 7 6 5 3 2 2 4 5 6 6 6 6 6 6 6 7 8 8 9 10 11 12 12 12 12 12 12 12 11 11 10 9 8 7 7 6 7 7 7 8 9 10 10 10 11 12 12 12 11 10 8 7 7 7 8 8 9 9 10 11 12 12 10 6 5 5 6 8 10 11 11 11 11 11 11 11 10 nan
nan 13 13 14 16 16 16 16 15 15 16 17 17 15 14 13 12 12 12 13 14 12 11 11 11 10 9 9 9 10 11 12 12 12 13 12 10 9 9 9 10 9 9 8 8 7 8 9 10 12 12 13 13 14 13 13 12 12 10 8 5 2 1 2 4 6 8 9 9 7 6 5 6 6 7 8 9 10 11 12 12 11 11 11 12 12 12 12 12 11 10 9 8 7 6 7 7 8 8 8 9 9 11 12 12 12 10 8 7 7 7 8 9 9 9 10 12 14 16 17 17 15 11 8 7 8 8 9 9 10 10 10 10 9 nan
nan 10 11 12 14 14 15 15 15 14 15 17 18 17 15 13 12 12 13 14 14 12 11 11 11 11 11 12 13 14 13 12 11 11 12 12 10 9 8 8 9 9 9 8 7 7 7 7 9 10 11 12 14 15 15 16 16 15 15 14 12 8 5 4 5 7 9 10 10 9 7 6 5 5 6 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 12 12 11 9 8 7 7 7 8 8 8 8 9 11 12 12 11 10 9 8 8 9 10 10 10 10 11 13 15 18 21 21 17 12 9 8 8 8 8 8 9 9 9 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
11 11 12 14 21 24 26 23 21 18 15 11 7 7 10 12 12 10 5 5 6 6 6 9 10 8 9 12 17 27 37 46 50 50 46 42 39 37 37 38 36 36 38 39 30 27 31 37 41 40 35 27 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 4 1 0 7 23 24 11 8 9 10 11 11 9 7 6 4 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2
9 10 13 12 19 21 22 19 17 15 13 10 7 7 8 9 9 4 3 3 4 6 5 6 7 7 6 7 11 19 27 36 43 47 46 43 39 36 33 31 30 30 31 32 26 23 25 30 35 36 33 26 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 1 13 27 23 10 9 10 10 11 11 10 8 6 5 5 4 2 2 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1
9 11 14 12 17 19 20 18 16 15 14 12 10 9 7 8 8 6 4 4 5 5 5 5 6 7 7 6 8 12 19 27 35 42 45 43 38 33 28 24 23 23 21 20 19 18 19 21 24 28 27 21 12 3 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 1 0 3 15 27 18 7 8 9 10 11 11 9 7 6 6 5 4 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 15 15 14 16 17 19 19 17 16 18 17 14 13 11 13 14 12 9 7 5 4 4 5 6 7 7 6 7 8 12 19 27 35 40 41 36 30 24 20 17 15 12 11 11 12 13 14 15 19 21 19 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 28 12 6 8 9 10 11 11 9 8 6 6 5 4 4 3 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
15 17 16 17 17 18 19 20 19 19 22 22 20 18 16 17 18 17 14 10 6 4 4 4 5 5 5 6 7 6 8 12 20 28 32 32 32 27 20 17 15 12 9 8 7 7 8 10 11 15 17 17 13 5 1 0 0 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 31 13 6 6 8 10 12 12 10 8 7 6 5 5 4 4 4 4 3 3 4 3 2 2 1 1 1 1 1 1 1 1 0 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
16 18 18 19 19 19 19 21 21 22 24 25 25 25 23 20 18 18 17 13 9 7 5 5 5 4 5 6 7 6 6 7 12 20 25 28 27 24 22 19 18 15 11 8 7 6 7 7 8 10 14 15 12 5 1 0 0 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 24 13 3 3 6 9 11 11 10 9 8 6 5 5 4 4 4 3 3 3 3 4 4 2 2 2 1 1 1 1 1 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
16 20 20 21 21 21 22 23 25 26 28 29 31 32 30 24 22 20 18 15 12 10 8 6 4 4 4 5 6 5 5 6 8 11 14 17 21 24 24 23 22 19 14 9 6 4 4 6 7 8 10 10 6 3 2 1 1 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 20 14 6 3 5 7 9 10 9 8 6 6 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0
21 22 22 22 23 25 25 26 28 31 32 34 36 37 35 30 27 25 22 17 14 12 10 7 5 3 3 3 4 4 4 5 6 7 8 8 13 19 22 23 23 20 14 9 5 2 3 5 5 7 8 9 7 4 3 3 2 1 5 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 20 14 5 3 4 5 6 8 8 8 6 6 6 5 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0
25 23 23 24 26 28 28 29 31 34 36 37 38 40 40 37 34 30 26 22 17 13 11 9 6 3 2 2 2 3 4 4 4 5 7 7 10 13 16 19 20 18 12 7 5 2 3 5 4 5 8 10 9 6 3 3 3 1 6 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 18 14 6 4 4 4 5 5 7 7 6 6 6 4 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0
24 22 25 28 30 32 32 31 33 37 38 38 41 44 45 43 40 36 31 26 21 14 12 11 7 3 1 1 1 2 3 3 2 4 6 7 7 8 11 13 14 12 9 6 5 4 5 5 5 7 10 12 11 8 3 3 3 3 8 11 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 15 13 8 5 4 4 4 4 5 5 6 6 6 4 3 3 2 3 3 3 3 3 3 2 3 3 3 3 2 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0
24 26 31 34 35 36 36 34 35 41 40 40 43 48 50 49 47 42 37 31 25 18 15 13 8 5 2 2 1 1 2 3 2 3 4 6 7 8 8 8 9 8 7 6 6 6 5 4 4 7 11 14 14 11 6 3 3 5 9 11 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 11 7 5 6 5 4 4 4 5 5 6 6 4 3 2 2 2 3 3 3 3 3 2 3 3 3 3 2 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 30 34 37 40 39 37 37 38 42 43 44 47 51 53 55 53 49 44 38 31 25 19 14 11 7 4 4 3 2 2 2 3 1 2 4 5 7 9 8 8 7 7 6 6 5 4 4 5 7 11 16 17 14 9 4 3 4 7 11 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 4 4 5 5 4 4 4 4 5 5 6 4 2 2 2 2 3 3 3 3 3 3 2 3 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 37 38 40 41 41 40 40 39 42 46 46 50 51 53 56 57 55 51 45 37 30 23 17 14 10 8 7 6 4 3 2 1 1 2 3 2 4 6 7 8 8 8 8 6 5 3 4 5 8 11 15 18 16 12 5 2 3 6 10 12 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 4 4 4 4 4 4 5 6 6 5 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
40 40 40 41 42 42 42 42 38 40 45 45 48 51 54 58 60 61 59 51 41 33 26 20 17 14 11 9 8 7 6 4 1 1 1 1 2 2 3 5 7 8 9 9 9 7 6 6 7 9 11 13 18 18 15 7 3 3 5 8 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 4 4 4 6 7 5 4 2 1 1 1 1 2 3 3 3 3 4 4 4 4 4 3 2 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1
41 42 44 47 46 44 42 42 37 37 41 42 47 52 56 59 61 62 60 56 46 34 27 23 19 16 14 12 9 9 9 7 5 3 1 2 2 1 2 3 5 6 8 9 10 10 10 9 9 9 10 12 18 19 16 10 5 3 3 6 9 10 1 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 1 2 3 4 5 6 5 3 2 1 1 1 0 2 3 3 3 4 4 4 4 3 4 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
41 47 55 58 53 47 42 41 38 34 36 40 45 49 52 55 59 62 63 57 47 37 31 26 22 19 16 14 13 11 10 9 8 6 4 3 2 1 2 3 5 5 6 7 9 11 12 11 11 12 13 13 16 19 17 12 6 3 4 6 4 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 2 4 5 6 5 3 2 1 1 1 0 1 2 3 3 4 4 4 4 4 4 4 3 2 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1
50 57 58 50 45 48 46 44 39 33 31 36 43 47 49 52 57 58 59 56 48 40 34 29 25 22 19 18 16 15 12 11 11 9 7 5 3 2 2 3 4 4 4 6 8 11 12 13 14 13 11 13 15 16 15 12 6 3 4 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 0 0 2 3 4 5 6 5 2 1 1 1 1 1 2 2 3 4 4 4 4 4 4 4 3 2 2 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1
60 58 42 25 26 40 48 50 45 36 31 34 41 47 51 52 54 52 54 53 48 42 36 31 27 24 22 21 19 18 14 11 10 10 9 7 7 4 2 2 3 3 4 5 7 9 12 14 15 15 13 14 14 14 14 10 4 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 1 3 5 6 6 4 2 1 1 1 1 1 2 3 4 4 4 5 4 5 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1
36 25 19 17 21 30 41 47 50 43 36 35 38 44 49 51 50 47 48 48 46 42 37 33 30 27 25 23 21 19 17 12 10 11 10 8 6 4 2 1 2 2 4 5 6 8 9 13 16 18 19 17 16 17 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 5 2 1 1 1 1 1 1 2 3 4 5 6 5 6 6 6 5 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 6 11 17 21 24 33 38 49 48 41 35 32 34 40 45 46 46 48 46 44 42 38 35 32 30 28 25 23 20 19 15 11 10 9 8 6 5 3 1 1 2 3 4 5 7 8 9 13 16 19 19 21 21 18 11 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 1 4 5 5 3 2 1 1 1 1 1 1 2 3 4 5 6 6 6 6 4 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 9 18 21 16 25 30 38 44 43 37 31 29 32 36 40 43 46 45 43 41 38 36 35 33 31 27 26 23 20 17 12 8 7 5 2 3 2 1 3 4 4 3 4 5 6 8 9 11 14 19 23 23 19 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 3 2 1 1 1 1 1 1 2 2 2 3 3 4 5 5 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 4 11 15 7 15 24 29 35 39 38 31 26 26 28 32 36 39 41 41 39 38 36 35 35 34 30 28 25 22 19 14 9 5 2 1 5 5 3 4 5 4 3 3 4 5 5 7 8 11 16 21 23 18 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 1 1 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 4 5 4 10 17 22 28 33 35 29 21 19 20 22 26 31 34 37 38 39 38 37 37 36 34 31 28 24 20 16 12 9 2 4 6 5 2 1 2 2 3 3 4 4 5 6 7 9 13 18 21 12 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 1 0 0 0 0 0 0 1 2 2 2 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 4 8 15 21 25 27 23 17 14 14 16 18 21 26 31 35 37 39 39 39 39 38 36 32 27 22 18 14 11 7 7 6 3 1 0 0 0 1 2 3 4 6 7 8 11 15 16 16 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 1 0 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 1 7 13 17 18 17 16 14 13 15 16 18 22 27 31 34 36 38 38 40 40 39 35 30 24 21 18 14 11 7 2 0 0 0 0 0 0 0 1 2 4 7 11 13 16 13 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 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 1 0 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 5 9 11 12 12 14 14 14 18 20 21 23 26 29 32 33 34 37 38 37 34 30 27 24 21 17 9 4 1 0 0 0 0 0 0 0 0 0 2 7 9 6 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 4 3 2 6 10 15 18 21 23 23 24 27 29 30 32 34 34 34 32 31 29 26 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 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 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 13 17 18 20 23 26 25 26 29 32 33 31 25 18 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 0 0 0 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 12 16 15 12 12 15 20 26 27 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 16 13 0 0 0 13
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 3 2 3 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 3 3 3 2 1 4 4 0 0 0 0 0 1 4 9 9 1 2 2 0 0 0 0 0 0 5 21 31 7 3 1 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 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 2 2 2 3 4 5 3 11 14 15 19 24 20 0 0 1 3 7 13 19 22 23 22 21 18 10 4 1 0 0 1 6 27 42 30 19 8 4
1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 3 4 5 7 27 36 38 39 40 36 21 12 11 18 25 29 30 28 27 34 43 42 33 20 11 12 20 24 15 32 46 50 46 34 23
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 2 3 3 5 7 7 7 6 13 30 45 53 56 58 61 55 46 38 42 47 44 40 36 31 27 29 38 46 48 43 37 34 34 38 37 40 47 56 67 72 46
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 9 9 10 14 27 46 60 68 72 75 75 72 70 64 67 66 59 59 59 49 37 31 34 42 49 53 56 56 46 44 44 46 49 56 74 99 81
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 27 35 45 56 68 79 86 88 90 92 88 87 83 74 68 70 75 75 84 69 47 36 38 47 53 58 64 62 58 54 52 53 58 72 100 109
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 20 44 60 69 77 83 87 93 99 103 107 104 100 97 93 88 88 84 82 76 90 87 65 47 46 50 54 58 65 70 74 70 63 62 63 74 97 119
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 27 65 87 95 97 100 103 107 113 119 123 122 120 117 111 104 100 95 89 79 77 77 78 81 78 63 58 58 62 69 78 83 81 78 74 76 91 111
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 4 23 46 49 77 99 109 116 117 116 117 125 133 140 143 144 143 136 126 117 112 106 98 92 88 89 104 90 80 69 61 62 68 78 85 92 96 96 93 95 106
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 37 69 80 91 104 117 127 129 130 129 136 144 152 160 167 166 159 151 141 133 126 121 118 106 100 97 98 100 91 77 72 74 78 85 93 106 117 120 118 114
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 35 65 87 99 106 119 134 143 146 144 146 152 159 170 187 196 190 183 174 162 151 146 143 128 109 99 108 118 115 101 89 80 82 88 93 106 123 137 143 134
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 33 64 91 103 112 128 147 152 152 154 159 166 177 195 210 218 222 217 203 186 179 174 155 135 120 122 133 135 126 109 98 93 92 96 105 122 144 163 159
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 31 69 88 97 115 134 143 147 156 166 174 185 200 216 234 248 253 245 231 224 219 209 188 168 158 156 155 147 128 113 105 103 107 116 130 148 170 181
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 47 67 85 112 131 133 148 164 179 193 209 225 241 258 269 273 270 267 268 256 238 220 200 187 177 164 145 129 123 121 121 132 143 153 169 186
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 41 54 79 113 115 129 151 174 196 214 228 241 259 275 289 301 306 311 310 297 275 245 225 209 192 175 159 150 146 139 149 154 160 171 192
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 24 31 73 97 108 133 160 187 211 230 244 257 273 294 313 329 341 348 347 336 307 284 263 241 219 201 189 180 175 176 176 179 191 219
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 34 66 86 111 139 170 203 231 251 261 276 295 314 334 354 368 371 369 362 352 340 319 285 262 244 230 223 219 217 218 229 250
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 51 82 114 148 181 217 243 262 282 300 316 332 343 371 381 387 392 396 394 382 362 337 312 297 284 276 275 276 278 285
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 41 70 109 143 179 215 247 277 297 307 322 332 352 369 381 393 407 416 415 406 391 384 372 355 342 339 333 328 322
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 70 98 128 164 203 238 264 275 287 300 319 339 354 369 390 405 418 427 422 413 412 414 411 405 392 379 364
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 39 78 113 142 170 199 217 233 252 268 288 312 334 353 370 387 407 422 426 429 445 452 461 453 437 421
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 33 58 82 106 133 158 179 206 227 240 259 284 303 322 348 374 395 410 424 443 457 471 478 485 489
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 39 57 82 113 142 163 183 202 222 244 266 291 315 339 365 391 418 439 455 471 491 510
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 20 32 50 76 105 133 152 177 201 225 250 275 306 340 372 401 426 447 473 509
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 59 83 103 126 149 174 209 240 274 310 345 378 410 438 467
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 29 40 51 71 92 127 164 200 237 276 315 354 388 417
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 2 5 9 16 24 28 34 54 86 121 158 197 242 286 326 354
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 6 6 4 1 2 2 1 0 1 2 6 16 18 20 25 35 53 84 122 166 209 253 289
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 10 10 6 7 7 4 1 1 1 3 6 11 18 22 22 24 39 63 98 136 176 219
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 9 11 11 9 9 11 7 3 5 6 7 10 15 20 23 23 26 30 49 78 110 149
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 9 7 12 10 8 10 10 11 15 17 19 22 23 27 27 29 38 56 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 1 2 5 7 3 8 12 11 12 12 13 15 17 19 20 23 28 32 30 23 28 52
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 10 12 12 12 13 16 17 18 21 23 29 37 43 44 32 39
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 12 13 14 15 17 20 24 26 31 39 47 55 50 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 2 6 8 11 13 15 19 23 26 29 32 39 48 57 63 66
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 11 14 19 25 31 35 41 50 58 68 77
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 12 23 29 36 43 51 58 67 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 0 0 0 0 0 0 0 1 12 23 34 45 54 60 68 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 0 0 0 0 0 0 0 0 0 0 0 5 15 30 47 59 69 74 81
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 40 55 72 87 99
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 34 52 80 103 122
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 9 22 42 72 105 136
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 3 8 29 63 100 138
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 17 43 76 123
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 2 1 1 0 1 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 2 8 20 31 86
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 0 0 0 0 1 2 3 5 7 6 7 6 5 4 3 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 19 55
0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 2 2 2 0 0 0 0 0 1 2 3 7 12 14 15 15 15 15 12 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 5 5 2 1 0 0 0 0 0 0 2 6 11 16 20 24 26 25 23 19 12 9 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13
0 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 0 0 0 0 0 0 0 0 3 7 9 9 8 9 8 6 3 0 0 0 0 0 0 2 6 11 17 23 25 28 28 24 19 16 17 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 1 6
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 4 5 4 1 1 2 1 1 1 2 2 2 5 8 10 12 13 13 12 7 3 1 0 0 0 0 1 3 6 10 14 17 20 22 23 22 20 17 15 12 9 6 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 1 6
0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 5 6 8 9 9 9 8 7 7 7 7 7 8 6 5 7 10 12 15 17 17 16 14 11 5 1 0 0 0 0 1 4 6 7 9 10 11 14 16 17 17 18 21 23 21 12 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 6
0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 4 7 9 11 14 13 13 14 16 18 19 19 17 15 14 13 11 9 9 11 9 10 12 15 18 19 22 25 28 29 26 19 12 7 4 2 1 1 1 2 3 5 5 5 5 8 10 14 19 25 29 30 24 15 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 1 7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 11 16 17 18 18 19 19 21 24 26 30 30 28 24 18 14 12 12 13 13 14 18 22 25 26 31 35 39 42 43 42 35 25 17 11 6 2 0 0 1 1 2 2 1 3 4 7 10 15 21 23 22 18 9 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 1 7
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 7 11 12 14 15 17 18 20 21 23 28 32 35 35 32 29 25 21 20 20 22 24 29 31 34 40 45 49 51 53 57 54 48 38 27 17 9 4 1 0 0 0 0 0 0 1 3 5 7 8 10 11 11 9 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8