Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 8 9 9 10 10 10 9 8 7 8 10 11 11 11 10 7 5 5 5 6 6 8 9 9 10 12 14 14 13 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 10 9 7 7 8 9 10 10 10 9 9 9 9 9 9 9 11 15 19 18 11 2 1 6 9 10 10 9 9 11 16 21 24 20 15 12 10 10 9 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 10 11 10 10 10 10 10 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 8 7 7 9 15 20 nan
nan 10 9 8 7 8 9 9 10 10 10 9 7 7 8 9 10 12 12 9 7 7 6 6 6 7 7 7 8 10 12 12 12 12 11 12 12 11 11 10 10 11 11 12 12 11 11 11 11 10 8 7 8 9 10 11 11 10 10 9 9 9 9 9 11 15 18 17 9 2 2 6 9 10 10 10 11 13 16 19 20 18 15 13 11 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 9 11 11 11 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 6 6 7 7 8 8 8 9 10 9 9 9 8 8 10 13 17 nan
nan 10 10 9 8 8 8 9 10 10 10 9 7 7 7 8 10 13 12 10 9 9 8 7 7 6 6 6 6 8 9 10 10 10 10 11 11 10 10 9 8 9 10 11 11 12 11 11 11 10 10 9 8 9 10 11 12 12 12 11 10 9 8 8 9 13 17 16 10 4 4 6 9 10 10 12 14 16 15 13 14 16 17 16 12 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 6 7 7 8 9 9 9 9 9 9 9 8 9 11 12 12 11 10 10 10 10 10 10 10 10 9 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 10 10 10 10 9 8 9 10 13 17 nan
nan 11 11 10 9 9 8 9 10 10 10 9 8 7 7 7 10 11 10 9 9 9 8 8 7 7 7 6 6 7 8 8 8 8 9 9 9 10 9 8 7 7 7 9 11 11 12 11 12 12 11 10 10 11 12 12 12 12 13 12 11 10 8 7 8 11 15 16 12 7 6 7 9 10 10 13 17 18 12 7 9 15 20 20 16 12 11 10 11 11 11 11 11 10 10 11 11 10 9 9 8 8 8 8 9 10 10 10 8 7 7 7 7 7 8 9 9 9 9 9 9 8 8 10 12 12 11 10 11 11 11 11 11 10 10 8 7 6 6 6 6 6 6 6 6 6 7 7 8 8 9 10 10 10 10 10 9 9 10 14 18 nan
nan 12 12 12 11 10 10 10 11 11 10 9 8 8 7 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 8 7 6 5 6 8 10 11 12 12 13 12 11 11 11 12 12 12 12 12 13 12 11 9 8 9 12 15 15 12 8 7 8 10 9 10 12 15 14 8 4 6 14 21 22 19 16 13 11 11 11 11 11 10 10 10 10 11 10 9 8 8 8 8 8 9 10 10 10 9 8 8 7 7 7 8 9 9 9 9 9 9 9 8 9 10 10 10 10 11 12 12 12 11 11 9 8 7 6 5 5 6 6 6 6 6 6 7 7 8 9 10 10 11 11 11 11 11 10 11 14 17 nan
nan 12 12 12 11 11 11 11 11 11 10 9 9 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 8 6 4 4 5 8 10 12 13 13 13 12 12 11 11 11 12 12 12 12 11 10 10 9 10 11 13 12 9 7 7 9 10 10 9 10 11 9 5 4 6 12 18 21 21 20 17 14 11 11 11 11 10 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 9 8 8 8 9 8 8 9 11 12 12 11 10 9 8 7 6 6 5 6 6 6 6 6 6 7 7 8 9 10 11 12 13 13 13 13 13 14 16 17 nan
nan 10 10 10 10 10 11 12 12 12 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 6 4 3 3 5 7 10 11 12 12 12 12 11 11 11 12 13 13 12 11 10 9 9 9 10 10 9 7 7 8 10 10 10 9 9 9 8 7 6 8 11 14 17 21 23 21 17 13 11 10 10 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 10 9 9 9 10 10 8 8 8 8 8 7 7 9 11 12 11 10 9 8 8 7 7 6 6 6 6 6 6 7 7 8 9 10 11 13 13 14 14 15 15 16 17 18 20 nan
nan 8 8 8 8 8 10 11 12 12 11 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 7 6 4 2 2 4 7 9 10 10 11 12 12 11 11 12 12 11 11 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 11 11 10 9 8 9 10 12 14 19 23 24 21 15 12 10 10 9 8 8 9 10 11 10 9 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 10 10 9 8 8 9 8 7 6 8 11 11 11 10 8 8 8 7 7 6 6 6 6 6 6 7 8 8 10 11 12 13 14 15 16 16 17 18 20 21 22 nan
nan 8 8 7 7 7 8 9 11 12 11 11 10 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 5 3 2 3 5 7 8 9 9 11 12 12 11 10 10 9 9 10 10 10 9 8 8 7 8 8 9 10 10 10 10 10 11 11 10 9 8 8 10 11 12 16 21 25 23 19 14 11 10 9 8 8 9 10 11 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 8 7 9 10 11 11 9 8 8 7 7 7 6 6 6 6 7 7 8 8 9 10 12 13 14 15 16 17 18 19 20 21 21 22 nan
nan 7 8 7 7 8 8 9 10 11 11 11 10 11 11 10 10 9 10 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 8 6 4 3 3 5 6 7 8 9 10 12 11 10 9 8 9 9 10 11 10 9 8 8 8 8 8 9 10 11 10 10 9 9 10 10 9 8 8 9 10 11 14 19 24 24 22 17 12 9 8 8 8 9 10 11 11 11 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 11 11 10 9 9 10 11 11 10 10 11 11 10 9 8 8 7 7 6 6 6 7 7 8 8 9 9 10 11 13 15 16 17 18 18 19 19 20 20 20 20 nan
nan 8 8 8 8 9 9 10 10 11 12 12 13 13 14 13 13 13 13 12 12 10 9 8 9 9 9 9 9 9 9 9 9 8 9 9 10 9 8 8 8 8 8 6 5 3 4 5 7 9 9 9 10 11 11 10 9 8 9 10 11 12 11 9 9 9 9 8 8 9 10 10 9 9 9 9 9 9 9 9 8 9 9 10 12 16 21 24 25 19 13 10 8 8 8 8 9 10 11 11 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 11 12 11 10 10 12 13 13 12 12 12 11 10 9 8 8 8 7 6 6 6 7 8 9 10 10 10 11 13 15 17 18 18 18 18 18 18 18 18 18 17 nan
nan 10 9 9 9 10 11 11 11 11 12 13 14 15 16 16 17 18 18 16 14 12 10 9 10 11 11 10 9 8 9 9 9 9 8 9 10 10 9 8 8 8 8 8 6 5 5 7 9 10 10 10 10 10 11 11 9 9 9 10 12 12 12 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 10 10 11 14 18 23 25 21 15 12 10 9 8 8 9 9 10 11 10 10 9 9 9 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 11 12 12 11 11 13 14 14 13 13 12 11 10 9 8 8 8 7 6 6 7 8 9 10 11 11 12 13 15 17 18 18 17 17 16 16 15 15 14 14 13 nan
nan 12 11 10 10 10 11 12 12 12 12 13 14 15 16 17 19 21 20 18 15 14 12 12 12 12 12 10 8 8 9 10 10 9 8 9 10 11 11 10 8 8 9 11 10 9 8 8 10 11 10 10 10 11 11 11 10 9 9 10 12 12 12 12 12 13 13 13 12 11 11 10 9 9 11 12 11 11 10 10 10 10 9 9 11 13 16 21 24 22 19 15 11 10 9 9 8 9 10 10 10 10 9 9 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 11 12 13 13 13 13 13 12 11 10 9 8 8 8 7 6 6 6 8 9 10 11 12 13 15 16 17 17 16 15 14 13 12 11 11 11 10 10 nan
nan 15 14 12 11 11 11 12 12 12 12 13 13 14 15 16 18 20 19 18 16 14 12 12 13 13 12 10 7 7 9 11 12 11 9 9 10 12 13 12 9 9 10 12 13 12 10 9 10 10 10 11 11 12 12 11 11 10 10 11 12 11 11 11 12 14 15 14 13 11 10 9 9 10 11 12 12 11 10 10 10 9 8 9 10 12 15 19 23 24 22 17 12 11 10 10 9 8 9 9 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 12 12 12 13 13 12 12 11 11 10 9 8 8 8 7 6 5 6 8 9 10 11 12 14 15 16 16 14 13 11 10 9 9 9 9 8 8 8 nan
nan 17 15 13 12 11 11 11 11 12 12 12 12 12 13 15 16 17 16 15 16 15 13 12 12 12 12 10 8 8 9 11 13 13 11 10 10 12 14 13 11 10 10 12 13 12 10 9 9 9 10 11 11 12 13 12 11 10 10 11 11 10 10 10 11 13 13 13 12 10 9 10 10 10 11 11 10 9 8 7 8 8 8 9 10 12 14 18 23 26 23 17 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 13 13 12 11 11 10 10 9 8 8 7 6 5 6 7 9 10 11 12 12 13 14 15 13 11 9 8 8 8 7 7 7 7 7 6 nan
nan 15 14 13 12 11 10 10 10 11 11 11 11 11 12 14 14 14 12 13 14 15 15 14 13 12 11 10 9 9 10 12 14 14 13 12 11 12 14 13 12 10 10 11 12 11 10 8 8 8 8 10 11 12 13 13 12 11 11 11 11 10 10 10 10 11 11 10 9 9 10 10 11 11 10 10 9 7 6 6 8 8 9 9 10 12 14 18 23 25 21 16 13 12 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 13 13 13 12 11 10 10 9 9 9 8 7 5 5 6 8 10 11 12 12 12 13 13 13 11 9 7 7 7 7 7 6 6 6 6 6 nan
nan 12 11 11 11 10 9 9 10 10 10 11 11 11 12 13 13 12 11 11 13 14 15 16 15 14 12 12 11 11 11 12 14 15 15 15 13 12 13 13 12 11 11 11 11 11 10 8 7 7 7 8 10 12 13 13 13 12 12 12 12 12 12 11 10 9 8 7 7 7 8 9 10 10 10 9 9 7 7 7 8 8 8 9 10 11 13 16 19 20 17 14 12 11 11 10 10 10 9 9 10 10 10 11 10 10 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 13 14 13 12 11 10 10 10 9 9 8 7 5 5 7 10 11 12 12 12 12 12 12 12 10 9 8 7 7 7 6 5 5 5 6 6 nan
nan 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 12 12 14 15 16 15 15 14 13 12 12 12 13 14 15 15 14 13 13 13 13 12 12 12 11 11 10 8 7 6 7 8 9 10 12 13 13 13 13 13 13 14 14 12 9 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 12 14 13 12 11 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 13 14 14 13 12 11 10 10 10 10 9 8 7 6 7 9 11 12 12 12 12 12 12 12 11 10 9 8 7 7 6 5 5 5 6 6 7 nan
nan 9 9 9 9 9 9 9 9 10 11 11 12 12 13 13 13 13 13 13 13 13 13 14 15 15 15 14 13 12 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 10 9 8 7 7 6 7 8 9 11 12 12 13 13 13 14 15 15 12 9 7 6 6 6 6 6 6 6 6 5 5 6 7 8 8 9 9 9 9 8 9 9 11 11 11 11 11 11 11 11 11 10 9 10 11 12 13 13 12 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 13 12 11 11 10 10 9 8 7 7 7 9 11 11 12 12 12 12 12 12 11 10 9 8 7 7 6 6 5 5 6 6 7 8 nan
nan 8 8 8 8 8 9 9 9 10 10 11 12 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 13 12 11 10 11 11 11 11 11 10 10 10 9 10 10 10 10 9 9 9 8 8 8 7 8 9 9 10 12 13 13 13 14 15 14 12 9 8 8 8 7 7 7 6 6 5 5 4 5 6 6 7 8 9 9 9 8 8 9 10 11 12 12 12 13 13 13 13 12 11 11 13 15 16 15 12 10 11 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 13 14 14 14 14 13 12 11 11 10 10 9 8 8 8 9 11 12 12 12 12 12 12 11 11 10 9 8 8 7 7 6 6 6 6 7 7 8 8 nan
nan 8 8 8 8 8 8 8 9 9 10 11 12 12 13 14 15 16 17 17 17 16 16 16 16 16 15 15 14 13 12 10 10 9 9 9 8 8 8 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 12 12 13 12 11 10 10 10 10 9 9 8 7 6 6 6 5 5 5 6 7 8 9 9 8 8 8 8 9 10 11 12 12 12 13 13 14 14 14 15 16 18 18 15 12 11 13 14 13 12 12 13 13 13 12 12 12 11 11 11 11 11 12 13 13 14 14 13 13 12 11 11 10 10 9 8 8 8 10 11 12 12 12 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 8 8 9 9 nan
nan 9 9 8 8 8 8 8 8 9 9 10 11 12 13 13 14 16 17 18 18 18 17 17 17 18 18 17 15 15 14 12 11 9 8 7 7 7 8 9 10 10 9 8 9 10 10 11 11 12 11 11 10 10 9 9 10 10 10 11 11 10 10 10 10 11 12 12 11 11 10 9 8 7 7 6 6 6 7 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 11 12 13 14 15 16 17 15 12 11 12 15 15 14 13 13 13 13 13 12 12 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 10 10 9 8 7 8 9 10 11 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 nan
nan 9 9 9 9 9 8 9 9 9 9 10 11 12 13 14 14 15 17 18 19 19 18 17 19 19 19 18 17 17 16 16 15 12 9 7 7 8 9 10 11 11 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 10 10 11 11 11 12 12 12 11 10 9 8 7 7 7 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 10 10 11 10 9 7 7 10 13 12 11 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 7 7 8 9 11 12 12 12 11 11 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 9 9 9 nan
nan 10 10 10 10 9 9 10 10 10 11 12 13 14 16 18 18 18 18 19 20 20 19 18 19 19 19 19 19 19 19 19 18 15 12 9 9 10 11 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 12 12 11 9 8 8 8 9 8 8 8 8 9 9 10 11 10 10 9 8 8 8 8 8 7 7 6 6 6 5 4 4 5 7 8 8 8 8 9 10 11 11 11 11 10 9 8 9 11 12 11 10 10 9 10 10 10 10 10 10 10 8 7 7 8 10 11 12 13 12 11 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 nan
nan 10 10 10 10 9 9 10 10 11 11 12 13 15 17 19 21 22 22 22 24 24 23 21 19 18 19 20 21 20 20 21 20 17 14 12 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 12 13 12 12 12 12 12 11 11 11 11 10 10 10 9 8 9 10 11 12 13 13 12 10 9 9 9 9 8 8 8 8 8 9 9 10 11 11 11 10 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 8 10 10 10 10 9 8 8 10 13 15 15 13 11 10 9 9 10 10 10 10 10 8 8 8 9 11 12 13 13 12 11 10 9 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 7 7 nan
nan 10 10 10 9 8 7 7 9 9 9 9 9 10 12 15 17 19 20 22 24 26 26 25 22 19 20 22 22 22 22 22 21 18 16 14 13 12 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 11 10 10 9 8 7 7 9 10 12 13 13 11 10 10 9 8 8 8 8 8 7 7 8 8 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 11 14 15 15 14 12 11 10 10 10 10 10 10 9 9 9 9 11 12 13 13 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 nan
nan 9 10 9 8 5 3 4 5 6 6 5 4 4 6 8 9 11 12 15 20 23 26 27 26 24 24 25 26 26 27 26 23 20 18 17 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 14 14 14 15 15 13 12 11 10 9 7 6 7 9 11 13 14 12 11 10 9 8 8 8 8 8 8 7 7 7 7 9 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 12 13 13 13 13 13 13 12 11 11 10 10 9 9 10 11 12 13 14 14 13 12 11 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 7 3 1 1 2 4 5 4 3 2 3 4 5 6 7 9 12 16 20 23 24 25 27 28 30 32 33 30 27 23 21 19 17 16 15 13 12 11 11 11 11 11 11 10 10 10 11 11 12 13 13 14 15 15 16 15 14 13 12 11 9 7 7 8 10 12 13 12 11 10 9 8 8 8 8 8 8 7 7 7 7 8 9 11 11 12 12 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 12 13 13 15 16 17 15 13 11 11 10 10 10 11 12 13 14 14 14 13 11 10 9 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 9 9 8 nan
nan 8 9 9 6 3 1 1 2 4 4 3 2 1 0 1 3 4 6 7 8 9 11 14 16 18 21 24 28 32 34 34 32 29 25 21 19 17 16 14 13 13 13 13 12 12 12 11 10 10 11 11 12 13 13 14 15 15 15 14 14 14 12 10 7 6 7 9 11 12 12 11 10 10 9 8 8 8 8 7 7 6 6 7 7 8 9 10 10 11 12 12 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 16 18 19 16 13 12 11 10 10 11 12 13 14 15 15 14 12 10 9 8 8 8 7 7 8 8 8 8 8 8 9 9 10 10 9 9 8 8 nan
nan 8 9 9 8 6 4 3 3 4 4 4 4 1 -1 -1 0 2 4 5 6 7 7 8 8 9 11 15 19 23 27 31 34 33 30 25 22 19 17 15 14 14 15 15 14 14 13 12 11 11 11 11 12 13 13 12 12 12 12 12 13 12 11 9 8 7 8 10 12 13 12 11 10 10 9 9 8 7 7 7 7 7 6 7 7 8 8 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 11 11 11 11 12 13 15 15 14 14 15 17 17 15 13 11 11 10 10 11 13 14 15 15 15 13 12 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 nan
nan 8 8 8 8 8 7 6 6 6 7 7 8 6 2 0 -1 -1 0 2 4 6 6 6 6 6 6 7 10 13 16 21 27 31 30 28 26 24 20 17 15 14 14 15 15 15 14 12 11 11 11 11 12 12 11 10 8 8 9 11 12 12 11 10 10 10 9 10 11 13 13 12 12 11 10 10 9 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 11 11 10 10 8 7 6 7 8 9 11 11 10 9 9 8 8 8 8 9 10 11 12 12 12 14 16 17 16 14 13 14 15 15 14 12 11 10 10 10 11 12 14 14 15 14 13 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 nan
nan 8 8 9 9 8 8 8 7 7 8 8 10 11 9 6 2 -1 -2 -1 1 3 5 6 6 6 6 6 6 7 9 12 16 21 23 25 26 27 25 21 18 15 13 13 14 14 14 13 12 11 11 11 12 11 10 9 8 7 9 10 12 12 11 12 12 11 10 9 10 11 13 13 13 12 11 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 11 12 12 11 10 7 4 4 5 7 10 12 12 11 10 8 7 7 7 8 9 10 11 11 12 14 18 19 18 16 13 12 13 13 13 13 11 10 10 9 9 10 12 13 13 14 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 8 8 7 6 5 7 11 14 13 12 8 3 -0 -2 -2 -1 2 4 5 5 5 5 5 5 5 6 8 10 13 15 19 22 24 23 21 18 14 13 13 13 14 13 13 12 12 11 12 12 11 10 9 9 10 11 12 12 12 13 13 12 11 9 9 10 12 13 13 12 11 11 11 11 10 9 8 7 8 8 9 9 9 8 8 8 10 13 14 14 12 9 5 4 4 5 8 11 13 13 12 10 8 7 7 7 8 9 10 10 11 12 16 18 19 18 15 13 12 12 13 12 12 11 10 9 9 9 10 11 12 12 13 12 12 11 10 10 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 nan
nan 9 9 10 10 10 9 8 7 4 3 4 9 12 13 13 10 7 4 1 -1 -3 -1 1 2 3 3 2 2 2 1 2 2 4 6 7 10 13 16 19 21 20 18 16 14 13 12 13 13 12 12 12 13 12 12 11 10 9 9 10 11 12 13 13 13 13 12 11 11 11 11 12 12 11 11 11 11 10 9 7 6 7 8 9 10 10 9 9 8 9 11 14 15 14 12 8 6 5 6 7 10 11 12 12 12 10 9 8 8 8 9 9 10 10 11 13 15 16 16 16 14 13 13 13 12 12 11 11 10 9 9 9 9 10 11 11 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 9 nan
nan 10 10 10 10 10 10 9 7 5 4 5 7 9 10 10 10 9 8 6 3 1 -0 -0 -0 1 1 -0 -1 -2 -1 -2 -2 -1 1 3 4 6 8 11 15 17 17 17 16 14 12 12 11 11 12 12 12 12 12 11 9 8 7 7 8 10 12 12 13 13 12 12 12 11 11 10 10 10 10 11 11 11 9 7 7 8 9 10 10 10 10 9 9 10 13 14 14 13 10 7 7 7 7 8 10 10 11 11 10 9 9 9 9 9 10 10 10 11 11 12 13 13 14 15 16 15 15 13 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 nan
nan 10 10 10 10 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 8 6 5 3 2 2 2 1 0 -0 -0 -1 -3 -3 -3 -1 0 1 2 3 6 9 11 13 14 14 12 10 9 9 10 10 10 10 11 11 10 9 7 6 7 9 10 11 12 12 12 11 11 10 9 9 9 10 11 12 12 12 11 11 10 10 10 11 11 11 10 9 9 11 13 13 13 11 9 8 7 7 7 8 8 9 10 10 9 9 8 8 9 10 10 10 10 10 11 11 11 12 15 18 20 19 17 14 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 10 12 nan
nan 10 10 10 10 10 10 9 9 9 9 10 10 10 9 10 10 10 10 10 10 9 9 8 7 6 6 6 6 6 5 4 2 0 -2 -2 -2 -2 -2 -1 -1 0 3 6 8 9 9 8 7 7 7 8 8 9 11 12 12 11 9 7 7 9 10 10 11 11 11 10 9 9 9 9 10 10 11 12 13 13 12 12 12 12 12 13 12 11 11 10 10 11 12 13 13 11 10 9 8 7 7 7 8 9 11 11 9 9 8 8 9 10 10 10 9 10 10 10 10 12 16 21 25 24 21 17 15 14 13 14 13 13 12 11 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 13 14 nan
nan 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 12 11 10 10 10 9 9 9 9 9 9 9 10 10 9 8 7 5 3 2 1 1 1 -1 -2 -1 1 3 5 6 6 6 6 6 7 7 9 11 12 12 12 10 8 8 9 9 10 11 11 11 10 10 10 11 12 12 11 11 11 12 12 12 12 12 13 12 12 11 10 10 10 11 11 12 13 13 12 11 10 8 7 8 8 8 10 11 11 10 9 8 8 9 9 10 10 10 10 9 8 7 9 13 20 27 29 26 23 21 18 16 16 15 14 13 11 10 10 9 9 8 8 8 8 8 8 8 9 8 8 9 9 8 8 7 7 7 8 8 9 10 12 14 15 16 nan
nan 10 9 9 9 9 9 9 10 10 11 11 10 10 12 14 15 14 13 11 10 10 10 9 9 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 9 9 9 10 10 10 11 11 11 12 13 14 13 12 12 12 12 12 12 11 10 10 9 8 7 7 8 9 10 11 11 12 13 13 12 10 9 9 9 8 9 10 11 11 10 9 8 9 9 9 10 10 10 10 9 7 5 4 6 15 25 28 30 29 26 23 20 18 16 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 14 16 17 17 nan
nan 10 10 9 9 9 9 9 9 10 11 11 11 10 11 13 15 16 15 13 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 13 15 15 15 14 12 12 11 10 10 10 9 9 8 8 9 10 11 11 11 10 10 9 9 9 9 9 10 10 11 12 13 13 13 13 13 13 13 12 10 9 8 6 5 5 4 5 5 6 8 9 10 11 12 13 13 11 10 10 9 9 9 10 10 11 10 9 9 8 9 9 9 9 9 10 9 8 5 2 2 7 16 24 29 31 29 26 24 20 17 15 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 14 15 16 17 17 17 nan
nan 11 11 10 10 9 9 9 9 9 10 11 11 10 10 11 13 14 15 15 13 11 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 12 13 15 18 21 22 20 18 16 15 14 14 13 12 11 10 10 11 12 13 13 13 12 12 11 10 10 9 9 9 9 10 11 13 12 12 12 12 12 11 9 8 7 6 5 4 4 4 4 5 5 6 7 8 10 12 14 14 13 12 10 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 7 3 0 2 8 16 24 28 27 26 24 21 17 15 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 11 12 13 15 16 17 17 17 16 15 nan
nan 11 12 12 11 11 11 10 10 10 10 11 11 10 10 10 10 11 13 15 14 13 11 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 12 15 18 20 20 20 19 19 18 18 17 16 15 15 15 16 16 15 15 14 14 13 13 12 12 11 10 10 10 11 12 13 13 12 11 10 9 8 7 7 6 6 5 5 5 5 5 5 6 6 7 8 9 12 14 15 14 12 11 10 9 9 9 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 6 2 0 1 9 18 22 24 24 22 20 17 15 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 12 13 14 15 16 16 16 16 15 14 13 nan
nan 12 12 13 13 13 12 12 11 11 11 11 11 11 10 10 9 8 10 12 13 13 11 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 6 8 12 14 17 18 18 19 19 19 19 19 19 19 18 17 16 14 14 14 13 13 13 12 12 11 11 11 12 13 13 12 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 8 9 11 13 14 13 13 11 10 10 9 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 8 5 1 -0 4 10 16 19 21 20 19 18 16 13 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 14 15 16 16 16 15 15 14 12 11 8 nan
nan 11 13 15 16 15 14 13 12 12 12 12 11 11 11 10 8 6 8 10 12 13 11 10 9 9 9 9 8 8 8 9 9 9 9 8 8 6 5 2 1 2 4 6 9 12 13 14 16 17 18 18 17 17 17 16 15 15 14 14 14 14 14 13 13 12 12 12 12 12 12 11 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 13 13 13 12 11 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 9 8 4 0 1 4 9 15 17 18 18 18 17 15 14 14 13 12 12 12 11 11 11 11 11 12 12 13 13 13 13 13 14 15 15 15 15 14 13 11 9 6 4 1 nan
nan 8 11 15 18 18 17 14 12 12 11 11 10 11 12 11 7 5 6 7 10 12 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 5 3 2 2 2 4 7 8 9 10 11 11 12 13 14 14 14 14 14 15 15 15 15 15 16 16 15 13 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 13 12 11 10 10 10 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 10 9 7 3 1 1 4 9 11 13 15 16 17 17 17 16 15 15 15 15 14 14 14 13 14 14 14 15 14 14 14 14 14 14 14 13 11 10 8 5 2 -0 -2 -2 nan
nan 3 6 12 16 19 19 17 13 12 11 10 10 11 13 12 9 6 5 6 9 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 9 9 8 6 5 4 3 3 4 5 6 6 5 6 7 8 10 11 12 12 12 12 12 13 14 15 17 18 17 14 12 11 10 10 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 13 12 11 10 10 10 10 9 9 8 7 7 7 8 8 8 9 9 9 9 9 10 10 9 7 4 2 3 4 5 6 8 11 13 15 17 17 18 18 17 17 17 17 16 16 16 16 16 16 15 14 14 14 13 12 10 9 7 5 3 0 -1 -1 -1 1 nan
nan 1 2 5 10 16 19 18 15 13 11 10 10 12 14 14 11 9 7 7 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 7 6 5 5 5 5 5 5 5 4 4 4 6 7 8 8 8 8 7 8 9 10 13 15 17 17 15 13 12 11 11 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 12 11 11 10 10 10 10 9 9 8 8 7 7 6 6 7 8 8 9 9 9 10 10 10 9 8 6 5 5 3 3 3 4 5 8 12 15 18 19 19 19 19 19 18 18 18 18 17 16 15 14 13 12 10 9 7 6 5 3 2 1 1 2 5 6 nan
nan 2 1 2 4 9 14 16 16 14 12 12 12 14 16 16 15 13 10 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 7 7 6 6 6 6 7 7 6 6 6 6 7 7 8 9 11 13 13 13 12 11 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 10 10 10 10 9 9 9 9 9 9 9 8 7 7 6 5 6 7 8 8 9 10 10 10 10 10 10 10 9 9 8 5 4 3 2 3 7 10 14 17 18 18 18 18 18 18 18 18 17 15 14 13 11 10 8 6 5 5 5 5 5 6 6 7 8 9 nan
nan 6 4 2 1 3 6 9 12 13 12 11 12 14 16 17 17 16 14 13 12 11 10 10 10 10 9 8 7 7 8 8 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 10 10 11 12 11 11 10 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 9 9 9 10 10 10 10 10 9 8 7 6 6 6 7 7 8 9 10 10 10 10 10 11 11 11 11 11 10 9 7 6 4 3 5 8 11 12 14 13 13 14 15 16 16 15 14 13 11 10 8 7 6 6 7 7 8 9 9 10 10 10 10 nan
nan 8 7 5 2 0 1 2 6 9 11 11 11 12 14 17 17 17 17 16 15 13 12 11 10 9 9 8 7 7 8 9 10 9 9 9 10 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 6 5 5 6 8 9 10 11 12 12 12 12 12 13 13 14 14 13 12 11 10 9 9 9 9 10 10 10 11 12 11 10 9 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 12 11 9 7 3 2 3 4 4 4 5 5 6 8 11 13 13 12 10 9 8 7 7 7 7 8 9 10 11 12 11 11 10 10 nan
nan 10 9 8 5 2 -1 -2 2 7 10 11 11 11 13 15 16 17 17 17 16 14 13 11 9 8 8 7 7 7 8 10 11 10 10 10 10 11 12 13 13 14 13 12 11 10 9 9 9 9 9 9 8 9 8 9 9 9 9 9 8 7 6 6 6 7 9 10 11 12 13 13 13 14 14 15 16 16 15 13 12 10 10 10 10 10 11 11 11 12 13 13 12 11 10 10 11 11 11 10 10 9 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 9 6 3 2 1 1 0 0 1 1 3 5 6 7 7 7 7 7 7 7 7 8 9 10 11 13 13 13 12 11 10 nan
nan 10 10 10 8 4 1 -2 1 7 10 12 12 11 11 12 13 14 15 15 15 14 13 12 11 10 9 8 8 9 10 12 13 13 13 12 11 10 10 9 8 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 12 14 14 15 15 16 17 17 17 15 14 12 11 10 11 11 11 11 11 12 12 13 13 12 11 10 11 12 12 11 10 10 10 10 10 10 11 12 12 13 13 12 11 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 8 6 5 4 4 4 4 4 3 2 1 -0 -0 0 1 2 4 6 7 8 9 9 10 12 14 15 15 14 12 11 nan
nan 10 10 10 9 6 2 -0 2 6 10 13 13 12 11 11 11 11 12 13 13 14 14 14 13 12 11 10 11 11 12 13 14 15 15 14 12 10 8 5 3 3 5 7 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 7 7 8 9 9 10 11 12 13 14 15 15 15 16 17 16 16 15 13 12 11 11 11 10 10 11 11 12 12 12 11 10 10 12 12 12 12 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 6 4 1 -1 -3 -3 -3 -3 -1 3 6 8 10 11 12 13 14 16 16 15 15 13 nan
nan 9 9 10 9 6 3 1 3 6 10 12 12 11 11 10 9 9 10 11 12 13 15 15 14 13 12 12 13 14 14 14 14 14 14 13 11 9 7 5 4 5 6 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 14 14 15 16 15 14 13 12 12 11 11 11 11 11 11 11 11 10 10 11 12 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 10 9 7 5 3 1 0 -1 -2 -2 0 3 6 10 12 14 15 15 16 17 17 17 16 nan
nan 9 9 9 8 6 3 2 3 6 9 10 11 10 10 10 9 9 9 10 11 12 14 15 15 14 13 13 13 14 13 13 12 12 12 12 10 9 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 14 15 15 14 14 14 14 14 14 15 14 13 12 11 11 10 11 12 13 14 14 13 12 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 12 11 10 10 9 9 8 7 6 5 3 2 2 3 5 8 11 14 15 15 16 17 18 20 20 nan
nan 9 9 10 9 7 4 2 4 6 9 9 10 10 10 10 10 10 10 10 10 12 13 15 16 15 14 12 12 11 10 10 10 11 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 13 13 14 14 14 14 14 15 16 17 18 18 19 18 16 15 13 12 11 12 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 9 8 7 6 5 6 7 9 11 12 13 15 17 20 21 nan
nan 10 10 11 10 8 5 3 5 7 9 10 10 10 10 11 11 12 12 11 12 12 13 13 13 14 13 12 10 8 7 8 8 9 10 10 10 9 9 10 10 11 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 14 15 15 15 15 16 17 18 19 19 19 19 18 17 15 14 13 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 10 9 7 5 3 2 2 3 4 6 9 12 15 17 nan
nan 10 11 11 11 8 5 4 6 9 12 12 12 11 11 11 11 12 13 14 15 15 14 12 10 10 10 10 9 8 7 7 7 8 9 10 10 10 10 11 11 11 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 12 14 15 15 15 15 15 15 16 16 17 17 16 16 16 15 14 13 12 11 10 10 9 9 10 11 11 11 11 12 13 13 13 13 12 11 11 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 9 10 11 12 12 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 9 8 5 3 1 -1 -1 -1 -1 1 3 6 9 nan
nan 9 10 10 9 7 4 5 7 11 14 15 14 13 11 10 10 11 12 15 17 18 16 13 10 10 10 10 10 9 8 7 8 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 11 11 11 12 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 11 12 12 12 12 13 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 12 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 7 6 5 4 2 1 -1 -1 -2 -1 1 nan
nan 8 7 7 7 7 6 7 9 12 15 15 15 14 12 10 9 8 10 12 15 17 17 14 12 11 11 11 10 9 8 8 9 10 11 12 12 12 12 11 10 9 9 10 10 10 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 11 10 10 11 11 10 10 10 10 9 9 9 9 8 7 5 4 3 1 0 -0 nan
nan 6 6 6 7 8 9 10 11 12 13 14 14 14 12 10 8 6 6 7 9 12 13 12 12 11 11 11 10 10 9 9 10 10 11 12 13 13 12 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 6 5 5 6 6 7 7 8 8 9 9 9 8 8 8 8 9 10 10 11 12 12 11 12 13 14 15 15 15 15 14 14 13 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 8 8 7 7 5 4 nan
nan 8 8 9 10 10 11 11 11 11 12 12 13 13 12 10 8 6 5 4 4 6 7 9 10 11 11 11 11 11 10 11 11 11 12 13 13 12 11 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 10 10 9 8 8 9 9 9 8 7 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 9 10 11 11 11 12 12 14 15 16 16 16 16 15 15 14 14 13 12 11 11 10 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 11 12 12 12 11 11 11 12 12 12 12 12 13 12 11 10 9 7 5 5 4 5 6 8 9 10 11 11 12 11 11 12 12 13 13 12 11 10 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 7 7 6 6 5 4 4 3 4 5 5 5 4 3 3 3 4 5 7 8 10 11 12 13 14 15 15 16 16 16 16 16 15 14 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 13 14 14 13 11 10 11 13 13 13 12 12 12 12 12 13 12 11 9 8 6 6 6 7 8 10 10 11 12 12 12 12 12 13 13 12 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 9 10 10 9 9 9 8 8 8 8 7 7 6 6 5 5 6 6 6 5 4 4 4 3 3 4 5 6 8 10 12 13 14 14 15 15 16 15 15 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 nan
nan 13 13 13 12 10 10 11 13 13 12 11 11 11 12 12 13 14 14 12 10 7 6 6 7 8 9 10 11 12 12 12 12 13 13 12 12 11 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 10 9 9 8 8 7 7 8 9 10 11 11 10 10 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 3 4 5 7 10 11 12 13 14 15 15 15 14 13 12 13 13 13 12 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 nan
nan 11 12 11 9 8 9 10 11 11 9 8 8 9 10 11 13 14 14 13 10 8 8 8 8 9 10 11 11 12 12 13 14 14 14 13 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 4 3 4 6 8 9 10 12 13 15 15 15 15 14 14 14 14 13 11 11 10 9 10 10 10 10 10 10 9 9 9 9 10 10 9 10 10 11 11 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 nan
nan 10 10 10 9 8 9 10 11 10 9 8 7 8 9 10 11 12 13 12 11 10 10 9 10 10 11 11 12 13 14 14 15 15 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 8 8 8 7 7 8 7 6 5 4 5 6 7 8 10 11 13 14 15 15 15 15 15 14 13 12 11 10 9 9 10 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 9 8 8 8 8 9 8 8 8 8 9 8 8 8 9 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 nan
nan 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 11 12 12 11 11 11 11 11 11 11 11 12 12 13 14 15 15 15 13 11 9 9 10 11 12 12 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 9 10 11 11 11 11 11 10 10 9 9 10 10 10 11 11 10 10 9 9 9 8 9 9 9 9 8 7 7 7 8 8 7 6 5 5 5 5 6 7 9 11 12 13 14 15 16 16 15 14 13 12 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 10 10 10 11 11 nan
nan 11 11 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 9 7 6 7 9 12 13 13 13 12 12 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 9 9 10 10 11 10 9 8 8 8 8 8 7 7 6 6 5 5 6 7 9 10 11 12 14 16 17 17 16 15 13 12 11 11 10 10 9 9 9 10 11 11 11 11 10 10 9 9 9 8 9 9 10 10 11 10 10 10 10 10 10 9 8 8 8 9 10 11 10 9 9 8 8 8 7 8 9 9 9 10 10 11 11 nan
nan 11 11 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 8 6 6 6 8 11 12 13 13 12 12 12 12 11 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 12 13 12 11 10 9 9 9 8 8 8 8 7 7 6 6 7 8 9 9 9 12 15 17 18 17 16 15 14 13 13 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 8 8 8 9 10 11 10 10 9 9 9 9 9 8 8 8 9 9 10 10 11 nan
nan 11 11 11 11 11 11 10 10 10 10 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 9 10 11 11 12 12 11 11 12 11 11 11 11 11 10 10 9 9 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 12 12 11 10 10 9 9 9 9 9 8 8 7 7 8 8 8 7 8 9 11 13 15 16 15 15 15 15 15 14 13 13 13 13 12 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 10 11 11 10 10 9 10 10 10 11 10 9 8 8 9 9 10 11 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 10 11 11 12 12 13 13 13 13 14 15 15 15 13 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 11 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 6 6 6 6 6 6 7 8 9 10 11 13 15 16 15 13 12 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 12 12 11 10 10 10 11 11 11 11 10 10 11 11 11 11 10 9 9 9 10 11 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 6 5 4 3 2 2 2 2 3 4 5 7 10 14 15 15 14 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 9 10 10 11 12 11 11 10 10 11 11 11 11 11 10 10 10 10 10 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 3 2 2 1 1 1 2 2 3 5 8 11 13 14 13 12 11 10 10 10 11 10 10 10 11 10 10 9 10 11 11 11 10 9 8 8 9 11 11 12 11 11 10 10 11 11 11 11 11 11 11 11 10 10 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 11 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 6 6 5 5 5 6 6 6 5 3 3 3 5 8 11 13 14 13 11 11 11 11 11 10 10 11 11 10 10 10 11 11 11 10 9 8 8 9 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 nan
nan 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 10 10 10 10 9 7 5 2 1 2 5 10 14 15 14 13 12 11 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 11 12 12 11 10 10 nan
nan 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 10 10 10 10 11 11 12 11 11 10 8 6 1 -0 0 7 14 16 16 14 12 11 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 11 11 11 nan
nan 12 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 12 12 12 12 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 9 9 10 10 10 11 11 11 12 12 12 11 9 5 2 3 7 12 15 16 15 14 13 11 9 8 8 9 9 10 10 10 10 11 10 9 9 9 9 10 10 10 9 9 9 9 10 9 9 10 10 11 11 11 11 11 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 11 11 11 12 13 11 9 7 7 10 12 14 15 15 15 14 12 10 9 9 8 8 9 10 11 11 12 11 9 8 7 9 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 12 nan
nan 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 11 12 13 13 13 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 11 11 10 9 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 10 11 11 10 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 9 10 10 10 10 11 12 13 12 11 10 10 11 13 13 14 15 14 11 10 9 9 8 8 8 10 11 13 13 11 10 8 7 8 9 10 11 11 11 10 10 10 11 11 11 10 10 10 11 12 12 nan
nan 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 13 12 11 9 10 12 12 13 14 12 10 9 9 9 9 9 9 10 12 14 14 13 11 9 7 8 8 9 11 11 11 10 11 11 12 12 12 11 11 11 11 11 11 nan
nan 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 12 14 14 12 11 10 12 12 13 14 13 11 9 8 9 10 10 9 10 11 12 14 14 14 12 10 9 9 9 10 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 nan
nan 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 12 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 9 10 10 10 9 9 9 9 10 10 10 11 11 10 10 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 7 8 8 8 10 11 14 15 15 14 13 12 13 14 15 15 13 10 9 9 9 10 9 9 9 10 12 13 13 14 13 12 11 11 11 11 10 9 9 9 10 11 12 12 12 10 9 9 8 9 10 nan
nan 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 12 12 11 10 9 10 10 10 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 9 11 14 17 17 17 16 15 14 14 14 14 13 11 10 10 10 10 9 8 8 8 10 11 12 12 13 13 12 12 12 12 12 11 10 9 9 9 10 11 11 11 10 9 9 9 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 11 11 11 10 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 10 9 10 10 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 11 11 11 10 10 11 11 11 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 13 16 18 18 17 15 15 14 13 12 12 11 11 12 13 13 12 9 7 6 7 8 10 11 12 12 12 12 12 13 12 12 11 11 11 11 11 10 10 11 11 11 10 9 9 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 11 11 11 11 11 10 10 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 13 13 14 15 15 16 15 13 13 12 11 11 11 11 12 13 14 15 13 10 7 5 5 5 7 8 10 12 12 12 12 12 12 11 10 11 12 13 12 11 10 10 10 10 9 8 8 9 10 nan
nan 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 11 11 11 10 10 9 8 8 9 10 11 10 10 10 10 9 9 9 9 10 11 13 15 15 15 14 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 11 12 13 15 16 15 12 9 6 4 3 3 5 7 9 10 11 12 13 12 11 11 11 13 14 13 11 9 8 8 8 7 8 9 10 10 nan
nan 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 8 7 8 9 10 10 10 10 10 10 10 10 11 13 15 17 17 16 15 14 14 13 12 11 10 10 9 9 8 8 9 10 10 10 11 11 11 11 14 16 16 15 13 10 7 4 3 3 4 6 7 8 9 11 12 12 12 11 12 13 13 11 9 8 8 8 8 9 10 10 9 nan
nan 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 10 10 10 11 11 10 9 8 8 9 9 10 10 11 11 12 12 12 13 14 16 16 14 12 11 12 12 11 11 10 9 9 9 10 9 9 9 9 9 10 10 10 9 10 11 13 15 15 15 14 12 10 8 5 4 4 3 2 3 6 8 10 10 10 11 12 12 11 10 9 8 9 10 11 11 9 8 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 10 11 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 10 9 9 8 8 8 8 9 9 10 10 10 11 10 9 9 9 9 9 10 10 11 12 12 11 11 11 13 14 11 9 7 8 9 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 8 8 9 10 11 13 14 15 16 16 16 14 11 8 5 3 0 -0 1 3 5 6 7 10 11 11 11 10 9 8 9 11 12 12 10 9 nan
nan 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 12 13 13 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 10 11 11 11 10 8 7 6 8 11 12 10 9 7 8 9 10 10 11 11 12 12 12 12 11 10 10 9 9 8 8 7 8 9 10 11 12 13 14 15 17 18 17 15 12 10 7 5 3 2 2 2 3 3 5 6 7 8 9 9 9 10 11 11 11 12 12 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 11 12 12 13 14 14 13 13 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 8 9 11 12 12 11 10 7 6 5 4 7 10 11 12 11 10 10 10 10 11 12 12 12 12 12 12 12 12 11 10 9 9 8 8 9 10 11 11 12 12 12 14 15 17 17 17 16 14 13 11 9 7 6 4 2 1 -1 -1 1 3 5 6 7 8 9 10 11 12 13 nan
nan 9 10 11 11 11 11 11 12 12 12 12 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 13 13 14 14 13 13 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 12 11 9 7 7 7 8 10 11 12 12 12 10 10 9 10 11 12 12 12 12 12 12 12 13 12 11 10 10 10 11 12 12 12 12 11 11 11 12 13 15 16 17 17 17 17 17 15 14 12 10 8 5 1 -1 -1 -1 -1 -0 1 3 5 7 9 11 13 nan
nan 8 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 11 12 12 13 13 14 13 13 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 9 10 10 11 11 11 12 12 12 10 9 9 9 10 11 12 11 11 11 12 12 12 11 10 10 10 11 12 13 12 11 11 11 11 10 11 12 13 14 15 16 17 18 19 18 18 17 17 16 14 11 8 5 2 -1 -3 -4 -3 -2 0 3 5 7 nan
nan 7 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 7 7 8 9 10 11 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 11 11 10 10 11 11 10 11 12 12 12 10 9 8 8 9 10 11 11 10 10 10 11 10 10 10 10 10 11 12 12 11 11 11 11 11 11 12 12 13 13 13 13 14 16 17 18 19 20 21 22 22 21 19 15 11 6 1 -3 -4 -5 -5 -4 -4 -2 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
204 179 136 94 55 28 23 27 39 46 51 53 51 51 48 42 35 27 22 28 39 45 40 27 19 18 24 35 50 70 88 98 103 111 119 120 117 111 110 112 117 128 141 147 135 104 71 63 59 63 68 66 50 23 9 2 0 0 0 0 0 0 0 0 0 0 0 9 42 84 74 22 4 0 0 0 0 0 0 1 4 10 18 13 9 6 3 3 3 3 2 3 4 5 3 4 5 5 5 6 6 5 4 3 3 10 35 67 99 125 150 169 185 218 273 323 429 517 537 510 500 527 610 616 506 394 393 471 605 729 771 736 794 1010 1181 1102 732 307 102 30 8 3 3 3 2 3 4 3 4 16 36 63 111 185 259 380 416 402 436 666 1410 1789
303 265 225 182 130 76 47 31 17 16 22 27 33 41 45 43 37 25 6 16 31 44 50 51 44 33 27 26 25 27 33 47 63 81 97 104 103 104 111 118 121 131 140 148 144 124 92 79 74 72 77 83 70 45 22 8 1 1 0 0 0 0 0 0 0 0 0 10 46 109 55 15 1 0 0 0 0 0 0 0 0 2 4 5 5 4 3 3 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 10 22 42 71 91 101 121 159 191 202 276 346 368 356 363 392 436 398 297 252 265 296 366 444 486 478 560 752 829 628 293 114 33 7 3 3 3 2 3 3 3 3 5 15 36 76 141 206 247 267 272 297 324 625 1056 1400
411 360 301 250 209 164 121 82 49 26 16 18 27 37 44 46 40 27 6 7 18 32 49 64 60 48 36 28 21 14 7 13 29 48 64 72 75 81 93 110 119 117 117 118 117 111 99 90 83 80 84 91 88 70 43 21 9 4 3 2 1 0 0 0 0 0 0 26 100 116 66 20 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 7 12 28 42 51 68 105 128 160 203 234 248 262 268 260 265 272 209 196 226 255 283 314 324 341 410 516 542 359 129 32 5 2 2 3 3 3 3 4 2 4 5 14 42 98 171 197 191 171 160 244 342 576 884 1151
497 446 379 311 259 219 188 154 117 81 53 45 45 48 53 54 47 25 9 1 4 16 37 54 56 50 41 32 25 17 13 11 13 19 25 31 35 42 51 63 75 80 80 77 75 78 85 90 92 92 93 96 98 89 67 40 22 14 10 5 1 0 0 0 0 0 1 22 138 157 80 14 0 0 0 0 0 0 0 1 1 1 1 3 7 6 4 3 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 3 4 5 4 4 5 7 10 15 21 44 81 125 150 158 169 199 205 180 152 175 186 182 203 236 249 244 248 272 322 362 325 178 59 8 2 2 2 3 3 3 4 7 5 5 11 29 73 129 172 183 160 130 134 198 314 536 844 1009
549 527 477 408 345 297 262 231 198 159 117 93 81 73 68 66 60 32 10 1 3 14 31 48 55 54 47 40 33 23 16 12 9 8 8 10 12 15 18 23 29 38 42 42 41 45 59 77 92 99 102 101 101 96 80 55 33 22 16 10 5 3 2 1 1 1 4 12 75 129 82 5 0 0 0 0 0 0 3 8 6 4 2 3 10 14 11 7 5 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 8 8 5 5 5 4 5 4 13 31 54 79 101 116 145 153 122 89 103 163 190 189 203 212 190 199 230 262 264 200 96 26 3 2 2 2 2 3 3 4 8 13 24 38 62 101 134 150 145 136 130 152 202 292 451 807 931
522 535 520 487 451 409 369 333 295 251 198 157 130 109 90 81 72 48 20 4 9 24 43 58 66 67 61 48 36 25 17 11 7 4 3 3 3 4 5 8 9 13 16 18 17 22 35 56 81 102 112 108 104 98 85 64 38 26 19 15 11 8 5 4 4 7 15 38 95 127 88 15 1 0 0 0 0 1 9 14 12 6 2 1 6 11 14 13 10 4 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 9 15 9 4 5 4 4 4 5 6 13 42 63 74 97 114 90 48 59 126 186 186 159 182 177 180 207 223 188 113 43 8 1 2 2 1 1 2 3 6 17 38 60 50 72 102 129 144 147 181 172 179 211 275 427 681 837
442 456 461 458 452 449 433 410 382 344 292 238 198 168 141 119 98 76 46 22 23 37 54 65 70 69 61 47 33 22 14 7 3 1 1 0 0 1 2 2 2 4 8 10 6 6 15 33 60 88 107 109 104 99 91 71 46 31 25 22 19 15 12 9 10 17 35 62 137 141 56 9 1 0 0 0 0 0 2 5 5 3 1 1 2 10 20 23 15 6 2 1 2 2 2 2 2 2 2 2 3 3 3 3 3 6 13 12 5 4 5 5 4 4 4 5 10 14 30 55 70 51 32 49 97 138 111 88 112 147 173 206 185 127 58 11 1 1 2 2 2 1 1 1 7 25 59 95 60 73 111 149 172 173 186 197 211 253 326 464 635 762
319 325 343 362 369 379 388 393 394 386 357 314 272 237 203 170 140 115 87 56 45 49 55 60 59 53 43 31 21 12 4 1 0 1 0 0 0 1 2 1 1 2 3 5 2 2 8 21 43 70 92 103 104 97 90 76 59 45 37 33 29 25 21 19 19 27 57 82 95 85 38 9 1 0 0 0 0 0 0 0 0 0 0 1 1 6 17 22 16 7 2 1 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 5 5 5 4 4 4 4 6 7 11 22 32 29 28 37 63 79 57 46 61 103 162 181 145 86 29 1 1 1 1 2 2 1 0 1 10 39 99 93 92 115 165 218 230 234 243 257 273 349 440 553 650 706
220 215 228 256 269 281 296 318 343 364 367 353 329 300 264 227 189 157 128 98 79 67 57 51 49 39 26 19 15 10 5 4 4 4 3 2 3 2 1 1 0 0 0 2 2 3 8 22 44 70 92 105 104 87 73 66 62 60 54 47 41 36 32 30 30 39 64 84 85 67 31 8 1 0 0 0 0 0 0 0 0 0 0 1 1 3 8 12 10 6 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 5 5 4 4 4 4 4 5 7 6 8 17 21 21 23 32 38 30 23 29 57 124 143 115 59 10 2 1 1 1 2 2 1 1 2 10 60 120 149 161 180 231 282 305 312 329 389 455 533 609 657 675 671
170 153 165 183 196 210 229 255 287 312 332 346 353 348 322 281 241 205 172 142 119 100 82 68 59 52 47 41 36 30 26 23 18 14 11 9 7 5 4 2 0 0 0 1 1 2 5 16 36 55 72 84 83 67 56 55 62 73 70 59 50 43 37 35 37 48 65 76 77 61 29 10 3 1 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 4 5 6 6 6 10 14 16 15 17 17 13 9 11 32 82 112 96 26 6 1 1 1 1 2 2 2 3 2 14 72 138 192 221 256 302 342 371 409 467 575 675 737 739 713 714 686
213 172 174 179 183 185 189 210 248 274 296 318 337 352 345 319 285 251 216 184 157 134 115 99 89 83 79 75 71 66 62 58 52 43 31 21 14 9 7 5 3 2 0 0 0 1 6 21 32 43 50 52 52 53 54 56 63 82 76 67 57 47 38 37 42 52 64 71 67 51 31 18 12 7 4 2 1 1 0 2 2 1 1 0 0 1 1 2 3 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 4 4 4 4 4 4 4 5 6 6 6 7 10 12 9 8 7 5 5 9 27 58 82 66 18 3 1 1 2 2 2 3 5 10 13 35 90 168 250 305 353 407 473 537 600 679 750 775 734 678 688 699 705
244 204 195 197 197 187 172 179 211 242 265 281 301 310 318 316 304 284 253 219 189 163 145 132 124 121 118 114 110 105 100 96 90 81 64 47 31 19 13 10 6 3 1 0 0 1 8 21 38 51 55 54 55 56 58 61 64 80 81 74 61 46 37 38 44 54 63 67 58 47 37 30 24 21 16 12 8 5 3 5 4 2 0 0 0 1 1 1 3 3 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 6 6 6 6 7 9 8 7 6 5 5 6 11 22 40 60 31 8 1 1 2 2 2 2 4 10 26 41 71 133 238 320 416 540 664 716 793 855 880 882 865 803 730 686 664 659
252 229 213 211 212 206 185 183 204 244 278 276 236 230 241 259 276 285 269 239 208 183 168 158 156 154 153 151 147 139 132 128 124 116 105 86 65 47 33 22 13 7 3 2 2 3 10 23 42 57 60 63 65 65 63 65 68 76 79 74 62 43 35 36 43 53 61 62 57 50 44 40 36 32 26 21 18 15 11 9 6 3 0 0 0 0 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 4 4 5 6 6 5 6 6 6 6 8 7 7 6 5 4 5 7 9 16 28 30 14 3 1 2 2 2 2 2 3 18 46 77 119 190 328 406 507 630 732 796 876 917 918 900 821 739 707 664 601 588
221 243 248 240 222 201 170 159 176 212 224 137 87 87 107 136 171 205 218 212 196 180 171 180 182 184 185 185 180 171 164 160 158 157 151 133 111 88 66 45 27 15 10 8 7 10 21 38 53 59 60 64 69 73 74 73 72 72 72 69 57 43 35 33 36 42 51 54 54 53 51 49 44 39 36 35 34 30 22 15 9 4 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 7 7 6 5 4 5 6 8 10 17 18 11 4 0 1 2 2 2 2 2 2 23 55 100 164 264 352 435 533 638 735 817 877 898 858 774 674 659 660 577 522 523
94 141 170 176 162 132 92 60 48 55 62 28 13 7 12 27 52 86 113 136 159 177 182 193 202 208 211 213 211 205 199 195 194 197 195 182 161 135 107 76 50 34 29 29 30 32 47 66 74 67 57 53 57 67 76 77 73 65 57 53 43 35 31 29 31 32 41 50 57 58 57 55 51 48 45 45 42 36 29 22 15 8 3 2 2 2 1 2 2 3 4 2 2 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 7 7 6 5 5 5 5 6 7 10 12 7 2 0 1 2 2 2 2 1 2 5 21 56 122 197 276 355 447 540 631 721 795 833 852 778 683 624 600 578 482 446 441
10 23 36 46 48 37 22 10 5 2 1 1 1 1 1 1 5 18 33 52 84 142 178 205 219 225 229 234 236 234 229 224 223 226 223 212 194 171 140 109 82 62 52 48 49 56 72 90 93 70 52 41 38 46 56 63 65 59 46 34 24 19 21 26 32 30 35 48 61 63 60 56 52 47 40 39 37 33 31 30 24 17 12 10 13 17 22 23 17 10 7 6 5 4 2 2 1 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 5 4 4 5 5 6 7 8 6 3 0 0 1 1 2 2 2 2 3 8 25 58 132 206 272 346 452 527 592 630 631 612 653 619 575 525 455 431 399 380 372
1 2 3 5 4 5 3 2 2 1 1 1 1 1 1 0 1 2 4 7 14 53 104 167 217 242 245 250 254 255 252 247 242 238 230 220 207 192 163 133 106 84 64 54 52 59 74 94 100 79 60 46 33 27 26 34 44 47 41 26 13 9 13 21 27 32 37 46 58 58 52 45 39 34 30 30 31 32 32 39 34 28 23 24 36 55 68 71 60 34 15 11 9 6 4 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 6 6 6 5 5 5 5 6 5 4 4 5 5 7 6 6 4 2 0 0 1 1 2 3 2 2 3 14 40 83 160 245 315 357 456 528 560 553 539 525 500 487 480 459 414 375 347 331 329
2 2 2 2 2 2 2 1 1 1 0 0 0 1 1 1 1 1 1 0 0 4 23 70 137 209 237 255 264 266 261 252 242 234 227 219 211 201 174 142 112 90 67 54 48 50 60 84 100 90 71 50 28 16 9 13 22 28 25 14 7 6 12 21 28 36 44 48 50 45 34 25 20 17 19 24 30 35 34 37 35 37 40 46 79 110 118 102 70 50 34 25 20 18 15 10 5 3 2 2 3 3 3 3 3 4 5 4 4 4 4 5 6 6 6 5 5 5 6 6 5 5 5 5 5 6 6 6 5 3 2 0 0 0 1 2 3 2 2 8 30 65 120 207 306 364 407 467 507 509 472 420 380 361 361 378 365 342 313 283 256 232
1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 46 123 192 240 265 267 259 246 233 221 209 195 191 189 173 146 114 93 69 50 37 34 44 81 104 106 90 62 27 10 4 5 8 9 7 3 3 7 15 24 31 39 48 52 47 38 26 16 11 11 12 14 19 29 28 21 26 38 50 75 118 153 158 122 78 57 47 42 38 31 23 14 6 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 5 5 6 7 6 6 5 5 6 7 8 8 5 2 1 0 0 0 1 2 2 2 1 2 38 86 157 249 343 393 430 450 441 395 323 266 240 236 246 255 242 230 218 193 174 148
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 2 11 62 136 207 255 264 257 242 228 217 206 191 185 183 177 163 137 112 85 62 49 50 61 91 114 125 119 86 43 17 6 3 3 2 0 0 1 5 11 20 27 35 44 48 46 39 29 20 13 9 5 3 5 16 22 28 36 43 48 75 111 150 168 135 98 71 57 51 44 33 20 9 5 5 6 4 3 3 4 3 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 10 9 5 3 2 1 0 0 1 2 2 2 2 12 48 107 186 289 361 401 413 395 330 254 200 172 159 160 162 151 134 122 113 101 94 79
2 2 2 2 2 2 2 3 4 4 4 4 3 3 2 2 1 1 1 0 0 0 0 2 9 34 89 161 230 265 267 253 234 219 211 202 198 198 197 187 171 152 130 106 87 87 97 111 125 136 143 111 71 36 12 1 2 1 0 0 0 1 3 10 19 27 36 40 41 37 30 24 15 8 3 1 1 9 18 24 26 26 42 67 103 143 165 145 111 84 70 62 51 38 24 14 11 8 5 3 2 3 3 4 4 4 5 5 6 6 6 7 5 6 7 7 7 6 5 5 5 5 6 7 8 9 10 7 4 3 2 1 0 0 1 1 2 2 3 21 63 129 212 306 377 395 355 285 204 158 141 134 113 101 89 72 53 49 38 31 30 31
4 4 4 5 6 6 6 7 8 8 8 8 7 6 5 5 4 3 2 1 1 0 0 1 6 16 49 109 184 244 270 265 245 229 220 216 217 219 219 209 195 179 165 152 130 122 121 123 126 130 132 113 84 51 20 4 2 1 1 1 2 3 5 7 10 16 25 29 29 25 19 15 10 5 3 2 2 5 10 12 11 15 32 54 84 122 144 157 137 106 90 76 61 49 41 33 23 14 8 4 3 3 4 5 5 5 5 6 6 6 7 8 8 8 7 7 7 7 6 6 5 5 6 7 8 9 10 6 4 2 1 0 0 0 1 1 2 2 8 32 83 160 247 322 369 352 265 184 143 128 121 99 75 62 48 31 20 15 10 7 7 11
7 7 7 8 9 12 14 15 16 16 16 15 13 11 9 7 6 5 4 3 2 1 1 3 5 9 24 57 110 191 257 283 270 251 239 235 236 239 238 227 211 196 185 175 154 135 121 112 106 102 95 83 66 46 22 8 2 1 1 3 5 4 3 4 5 10 16 20 19 12 9 7 5 5 7 4 2 3 5 5 4 9 21 39 60 90 128 162 166 138 115 91 65 47 40 34 28 22 15 8 5 4 5 6 5 6 7 7 7 8 8 8 8 7 7 7 7 7 7 6 7 7 7 8 9 10 9 7 5 3 2 0 0 1 1 2 2 4 14 41 101 189 263 297 280 244 191 150 125 112 93 71 51 37 27 16 7 6 6 4 5 7
11 10 11 11 13 16 20 23 25 27 27 25 22 18 14 11 8 7 6 6 5 4 3 5 5 5 9 18 34 113 197 252 269 267 258 254 255 256 253 241 223 203 183 168 142 116 93 75 62 54 47 41 33 24 11 4 1 1 1 3 5 5 5 4 4 7 10 10 7 5 5 6 7 9 14 6 3 4 5 4 5 8 16 30 48 80 114 139 150 142 111 77 48 30 20 15 18 18 14 8 5 5 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 8 9 8 8 10 11 11 10 8 5 3 1 0 1 2 2 3 4 13 47 132 213 261 263 202 145 126 117 94 70 54 42 29 17 13 10 7 4 4 5 13 17
14 14 14 15 17 20 26 31 34 38 41 41 38 33 26 19 15 12 10 9 8 7 5 4 3 3 3 4 3 47 107 159 216 252 264 266 267 265 258 240 214 184 154 126 93 65 45 30 21 16 13 11 9 4 1 0 0 1 2 2 2 3 4 5 5 6 6 5 2 5 7 7 6 5 10 5 3 3 3 5 10 13 16 22 29 50 78 108 128 121 84 51 32 18 8 3 3 4 5 4 4 4 5 5 6 7 8 9 10 10 9 9 9 8 8 7 7 7 8 8 8 9 10 10 10 10 11 12 12 9 5 1 1 2 3 3 5 9 17 69 145 202 222 200 135 90 81 89 67 45 29 18 12 6 5 4 4 3 2 5 12 19
16 16 15 16 19 24 30 36 42 49 55 58 58 55 50 46 37 27 22 18 16 13 9 7 5 3 3 1 0 4 18 51 127 194 233 248 244 224 195 164 134 102 72 47 27 15 9 5 3 2 1 1 3 3 2 1 0 0 1 1 0 0 1 3 6 8 9 10 7 8 8 6 2 0 1 1 1 2 5 10 12 12 9 7 6 12 23 41 69 84 76 57 42 25 11 4 2 2 2 2 2 2 3 4 5 6 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 10 11 12 11 9 9 12 12 9 5 1 2 3 3 4 6 7 23 66 120 166 177 142 98 71 64 62 45 26 12 5 3 2 3 6 6 6 5 5 7 12
14 16 16 17 21 27 35 44 52 60 68 76 81 83 81 76 70 67 57 45 39 28 18 10 6 5 4 2 1 1 1 4 44 94 134 154 152 125 88 50 23 18 13 8 3 0 0 0 0 0 1 2 4 4 3 2 1 1 0 0 0 0 1 3 7 10 13 16 12 8 3 2 0 0 0 0 1 4 8 10 10 7 3 1 0 1 1 7 24 44 58 61 51 28 12 5 3 3 2 2 2 2 3 4 4 5 6 6 7 7 7 6 7 8 8 8 8 9 11 12 13 13 13 12 11 9 9 11 10 7 2 1 3 3 3 4 7 11 21 47 87 119 123 98 68 51 46 40 28 13 5 2 2 2 1 1 3 7 8 7 9 16
12 13 16 19 22 29 37 49 61 73 79 86 90 89 86 80 74 75 77 75 64 49 33 19 11 9 7 5 3 2 1 0 8 21 35 41 44 34 20 7 0 0 0 0 0 0 1 1 1 1 2 4 5 6 6 4 3 1 0 0 0 0 2 4 8 13 16 17 13 8 4 1 0 0 0 1 5 9 10 8 6 3 1 0 0 0 0 1 7 21 39 51 47 33 19 10 4 3 3 3 3 2 3 4 4 5 5 5 6 7 8 9 9 9 9 9 9 10 13 17 18 17 15 14 13 9 9 9 7 3 0 1 2 3 4 5 9 12 16 27 45 55 60 55 40 30 21 14 8 4 2 1 2 4 3 2 2 4 7 9 13 16
16 18 22 26 27 33 40 53 69 82 78 81 85 89 93 93 83 76 73 70 67 61 50 38 30 23 16 11 7 5 3 2 1 2 3 2 4 3 1 0 0 0 0 0 0 0 2 3 3 5 8 10 10 9 7 4 2 1 0 0 0 0 2 5 8 13 15 15 13 9 6 2 1 2 5 11 15 16 13 9 6 3 2 1 0 0 2 5 10 18 30 38 38 32 26 20 12 8 6 6 6 5 3 3 4 4 5 7 9 10 13 14 13 12 11 12 11 12 14 17 18 18 16 12 11 8 8 6 4 1 0 1 2 3 5 8 11 9 7 10 13 12 13 17 16 11 5 2 1 1 0 1 3 7 8 8 5 4 7 8 6 8
35 34 37 39 37 37 41 50 63 70 65 67 75 84 93 97 92 86 82 79 77 73 65 54 46 41 33 24 17 12 8 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 8 9 7 5 3 2 1 0 0 0 0 2 4 5 6 7 9 11 12 7 2 2 7 14 23 27 26 20 13 11 10 8 7 7 6 7 9 11 14 21 29 35 36 28 29 24 16 9 6 4 4 4 4 4 4 6 9 12 16 22 24 24 21 20 21 22 21 19 18 17 15 11 10 10 10 8 4 1 0 0 1 2 3 5 8 8 5 1 1 1 3 4 6 5 3 1 0 0 0 0 2 5 7 5 2 2 4 9 12 12 12
54 53 53 53 48 42 39 39 42 49 51 52 56 66 70 79 86 89 89 88 89 87 80 68 58 48 38 30 25 21 17 13 9 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 4 2 1 0 0 0 1 2 1 1 1 2 7 12 11 6 4 12 18 24 28 29 27 25 25 24 22 20 21 19 15 10 9 11 17 26 38 50 38 37 32 23 9 6 4 5 6 6 5 6 8 11 16 19 24 26 26 23 25 26 26 24 21 18 16 13 10 11 12 10 7 3 1 0 0 1 2 3 4 4 3 1 0 0 2 6 9 5 3 2 0 0 0 0 0 2 3 2 0 0 1 4 9 14 16 20
57 55 54 52 50 45 41 39 37 39 36 34 35 37 34 48 66 79 85 89 94 93 88 81 71 58 45 34 28 26 24 22 18 13 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 8 7 4 1 0 0 0 0 0 0 1 3 9 13 12 10 9 14 16 16 18 22 25 28 32 33 33 34 34 30 23 15 11 13 17 25 34 53 49 42 33 24 10 5 4 6 7 7 5 5 6 6 6 8 11 14 14 15 18 22 23 21 20 17 13 11 12 12 11 9 5 1 0 0 0 1 2 2 2 1 0 0 0 0 1 5 8 5 0 0 0 0 0 0 0 0 1 0 0 0 0 2 5 8 11 16
48 45 42 39 39 40 43 44 43 43 43 43 43 39 37 41 47 50 61 73 82 87 87 86 79 68 55 41 32 28 28 28 26 22 16 10 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 5 2 0 0 0 0 0 0 1 3 6 11 16 18 19 19 18 16 12 10 20 30 37 40 42 46 49 46 38 29 19 13 13 18 24 39 42 32 18 10 4 2 1 2 2 2 2 1 1 0 1 1 1 3 3 4 8 13 15 16 16 15 14 12 11 9 8 6 3 1 0 1 1 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 1 1 3 9
37 34 30 27 27 32 40 47 51 54 59 62 63 56 47 41 37 34 38 47 58 68 71 72 70 64 56 44 34 29 28 30 31 29 26 20 11 8 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 3 8 19 31 37 38 37 36 36 34 35 41 49 57 60 64 67 67 59 45 32 19 12 10 11 16 21 20 12 4 2 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 2 3 5 7 10 13 12 11 10 8 6 3 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5
26 25 22 20 20 24 34 44 50 57 65 71 78 71 62 55 48 40 34 32 32 32 41 46 49 51 50 44 35 30 29 31 36 35 32 28 21 14 9 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 21 29 39 49 55 56 58 60 60 59 62 67 74 80 82 85 81 68 54 38 24 15 12 12 11 8 6 3 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 3 10 15 15 13 9 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1
18 20 20 18 17 18 25 37 44 52 65 81 85 76 66 62 54 48 40 30 21 16 18 20 22 25 30 32 29 28 31 34 42 45 44 40 33 24 16 11 10 8 7 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 24 29 33 40 53 63 64 63 64 60 56 59 66 72 76 78 77 70 54 43 30 18 10 9 9 7 3 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 4 9 13 15 10 7 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 2
17 19 19 18 18 19 22 31 40 47 55 67 76 74 66 62 59 56 47 34 22 12 6 3 2 4 8 10 12 16 22 24 27 35 48 57 48 38 29 22 18 15 13 12 11 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 26 39 43 45 55 64 63 53 40 30 24 27 35 39 43 48 50 45 39 30 19 10 4 4 3 2 0 0 0 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 2 6 13 16 16 16 15 13 7 3 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 6
17 17 17 18 19 19 21 25 30 36 43 57 68 76 78 75 69 60 49 36 21 10 4 2 1 1 1 2 2 3 4 5 7 15 29 43 43 39 34 31 27 24 23 23 23 19 14 9 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 4 30 50 64 77 72 73 74 67 49 25 11 3 3 9 14 19 23 25 23 18 11 5 3 1 1 1 0 0 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 3 10 16 23 30 29 21 10 2 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 6 14
14 14 15 17 19 17 18 19 21 26 36 55 75 90 97 96 83 67 52 37 22 10 3 1 1 1 1 2 2 1 1 1 2 2 4 3 11 17 19 20 15 17 22 26 30 30 25 18 11 10 7 5 3 1 0 0 0 0 0 0 0 0 0 0 1 16 39 66 102 100 97 91 78 64 43 25 11 2 3 7 8 7 7 7 5 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 4 9 17 30 24 14 5 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 7 14 21
11 13 14 16 19 17 18 21 24 26 34 51 72 92 108 120 105 79 56 37 23 11 3 1 1 1 2 2 2 1 1 1 1 1 1 1 1 2 4 4 3 3 3 7 10 9 9 11 12 14 15 14 9 4 1 0 0 0 0 0 0 0 0 0 0 4 14 28 71 85 90 92 91 73 54 36 19 5 3 4 3 2 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 2 4 10 8 4 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 1 1 1 2 3 8 14 19 20
8 9 11 13 17 16 16 19 23 24 36 52 71 90 105 132 130 104 72 41 23 12 5 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 1 3 5 8 8 6 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 3 23 38 48 55 44 40 35 27 17 7 4 2 2 2 2 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 3 6 10 13 14 11
9 8 9 9 10 12 15 19 26 35 49 63 74 86 102 129 147 142 94 56 31 15 6 5 5 4 4 3 3 2 2 1 1 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 6 14 21 27 28 26 22 17 12 8 4 3 2 2 1 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 1 2 2 3 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 2 2 2 2 3 5 8 8 6 5 3
14 10 8 5 6 7 10 16 25 43 64 85 101 111 112 128 160 189 97 66 46 26 10 8 7 7 6 5 4 4 4 3 3 4 4 4 4 6 8 11 12 10 5 4 3 3 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 0 0 0 0 0 2 9 20 21 19 17 15 13 10 9 6 5 3 2 2 1 1 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 1 2 2 3 2 2 2 2 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 1 1 1
18 14 11 8 5 2 4 10 20 38 67 107 150 169 162 139 123 182 103 63 47 36 16 10 8 8 8 7 6 6 5 6 7 7 8 9 11 14 19 26 33 33 24 18 15 14 12 11 10 10 10 10 9 9 9 7 5 4 3 3 2 1 1 1 1 1 1 2 9 25 23 19 16 13 13 12 12 12 12 9 7 5 3 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 1 1 2 3 3 3 2 2 1 1 1 1 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 1 1 1 2 3 2 2 2 3 3 2 2 3 2 1 1 1 0 0 0 0 0 0
19 18 16 11 6 3 3 9 20 40 72 115 164 201 215 181 90 123 89 57 42 41 20 11 8 7 6 7 8 8 10 12 13 14 16 19 22 28 35 41 41 44 45 47 47 40 37 34 33 33 35 36 36 33 27 19 12 8 6 5 3 2 2 1 1 1 2 4 14 32 41 41 36 29 28 27 28 29 27 23 17 9 2 1 2 2 2 2 2 3 3 3 3 2 1 0 0 0 0 0 1 2 3 3 3 2 2 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 1
19 22 29 29 25 17 10 10 18 38 68 102 148 198 247 266 184 128 79 47 37 34 19 11 8 6 5 6 10 14 18 20 22 23 26 30 35 42 48 51 48 52 61 70 77 71 65 58 51 45 45 44 43 40 33 26 18 12 8 7 6 6 6 6 6 8 10 12 24 43 61 71 68 62 60 57 54 53 44 34 22 10 2 1 1 1 1 2 3 3 4 4 3 2 2 1 0 0 0 0 1 2 3 3 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 2 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 3
25 29 58 74 74 61 43 22 19 34 61 95 137 200 261 281 218 156 92 40 42 32 19 10 6 3 4 6 10 16 25 33 38 38 39 43 47 53 58 59 57 57 58 58 65 68 67 63 57 46 39 37 40 42 33 26 21 15 13 11 12 12 11 12 13 17 24 28 38 53 72 89 96 97 98 95 85 75 59 41 23 6 3 1 1 1 1 2 2 3 3 4 4 3 3 1 0 0 0 0 1 2 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 2 2 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3
27 27 60 85 101 108 96 52 31 40 67 98 131 192 261 271 251 219 158 83 70 42 21 11 6 3 3 5 8 14 29 46 58 62 61 65 68 69 71 67 60 56 54 48 51 51 49 46 40 34 32 31 31 30 23 17 13 14 11 9 7 7 8 11 13 16 24 31 41 58 82 108 125 135 136 125 109 92 73 50 26 9 3 1 1 1 2 2 2 3 3 4 4 5 3 1 0 0 0 1 2 3 4 3 3 2 1 1 1 0 0 0 1 1 1 1 1 2 2 2 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3
25 23 40 64 96 140 131 91 62 63 90 122 149 186 234 252 248 231 201 156 104 57 26 10 4 3 4 5 9 14 35 59 79 89 90 93 94 91 89 84 74 66 62 57 52 44 34 24 17 13 10 7 8 8 7 4 3 1 1 1 1 1 1 4 6 7 11 16 27 44 66 97 134 161 167 149 126 104 80 51 25 9 2 1 1 1 2 2 2 2 2 3 4 5 4 2 1 0 0 1 2 3 3 3 3 2 1 1 0 0 0 0 0 1 2 3 2 2 2 2 1 1 1 1 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 1 3 4
30 27 31 40 60 134 149 141 128 123 133 162 192 217 234 239 238 234 223 197 155 103 54 25 15 8 6 8 14 26 51 80 102 118 124 127 126 122 118 112 102 88 77 68 57 46 36 26 18 11 7 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 2 1 6 18 33 54 88 122 144 142 136 116 79 40 16 4 1 1 1 1 1 1 1 1 1 2 3 5 4 2 1 0 0 1 2 3 3 3 3 2 1 0 0 0 0 0 0 1 2 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3
40 36 33 34 43 109 150 172 177 165 170 178 187 198 210 215 218 223 230 227 201 152 90 44 18 7 9 17 26 47 76 103 115 144 155 155 148 144 131 116 100 85 74 64 52 41 32 25 19 15 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 24 39 53 75 96 94 52 21 6 1 0 1 1 1 1 0 1 1 1 1 3 4 4 3 0 0 0 1 2 4 4 4 3 2 1 0 0 0 0 0 0 1 2 2 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1
36 32 30 33 42 77 114 167 235 230 216 207 202 199 198 198 201 206 213 220 221 202 147 90 43 24 28 37 51 75 103 129 137 163 177 173 153 143 125 105 90 80 59 46 38 31 28 24 19 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 19 32 40 21 7 1 0 0 0 0 0 0 0 0 1 1 1 3 5 6 5 1 1 1 2 3 4 4 3 2 2 1 1 0 0 0 0 0 1 2 3 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
28 25 25 31 43 62 84 125 215 239 241 232 220 197 188 183 181 180 177 199 216 213 195 156 109 75 65 68 85 106 126 148 160 178 194 199 164 147 124 103 93 97 85 68 48 30 31 28 23 16 9 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 4 6 4 1 0 0 0 0 0 0 0 0 0 1 2 2 4 6 8 5 2 0 0 1 2 3 3 2 2 1 0 0 0 0 0 0 1 1 2 2 3 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 23 24 33 52 70 86 104 157 191 208 214 217 194 177 163 155 163 155 174 205 231 238 213 180 148 119 103 107 121 135 151 167 194 227 240 205 167 133 107 94 96 95 90 75 39 33 33 29 22 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 8 8 4 1 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 26 28 36 50 65 79 95 129 159 177 184 189 181 170 157 143 148 149 161 185 216 257 262 251 238 218 177 153 149 155 174 208 256 295 270 227 181 142 118 98 85 73 59 40 38 38 37 34 26 16 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 6 9 6 2 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 30 32 35 44 56 71 93 124 149 164 170 171 171 166 157 141 146 159 182 214 258 297 323 333 330 326 285 240 217 225 254 287 308 306 264 218 175 141 121 101 84 70 59 50 45 42 39 33 26 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 1 2 4 4 6 6 4 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
34 32 30 29 31 38 51 74 101 124 140 147 150 152 158 176 181 187 199 221 253 314 372 411 422 413 404 378 350 345 354 348 330 304 270 243 210 173 142 116 97 87 82 72 61 53 47 39 32 23 13 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 1 2 2 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
34 30 24 21 21 26 36 57 81 102 119 127 129 136 159 210 247 266 276 289 324 382 431 461 462 458 453 446 438 428 417 397 371 343 319 301 271 214 161 131 112 101 98 86 75 63 51 40 30 19 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 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
28 23 19 17 18 22 30 54 79 101 117 123 133 147 168 224 285 316 328 341 362 378 411 470 476 476 474 471 460 438 434 430 418 397 377 346 294 215 158 129 117 112 106 95 81 64 48 38 27 17 8 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 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 22 21 21 22 23 34 57 85 110 127 143 178 219 242 276 314 344 366 390 406 413 442 545 543 527 511 500 477 465 462 459 447 432 412 379 327 250 172 126 116 118 111 98 82 65 50 40 30 19 8 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
14 16 18 21 26 35 57 86 113 132 150 176 223 296 367 387 392 396 419 471 516 544 555 587 581 568 559 556 526 509 498 486 481 475 453 409 341 252 171 125 127 127 116 101 85 69 54 41 28 18 8 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 1 1 1 2 2 2 2 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
7 9 12 17 23 41 73 114 154 168 190 218 249 281 313 356 383 391 401 411 441 478 485 513 540 558 556 548 535 526 520 515 534 526 493 439 359 269 197 157 152 150 135 115 97 79 61 43 26 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 7 10 16 19 34 64 109 162 187 215 243 263 276 289 302 314 322 324 314 329 368 391 415 427 428 430 452 470 487 502 513 532 534 514 471 383 303 240 198 183 175 159 135 114 90 65 42 23 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 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
9 10 11 14 13 20 42 80 133 162 184 201 222 239 257 271 281 290 305 310 305 288 262 261 273 291 308 328 351 379 409 433 455 469 469 457 387 311 251 213 204 192 172 144 115 87 61 39 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 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
6 6 5 5 6 8 20 48 87 113 126 134 157 187 213 234 250 263 275 281 278 264 249 224 205 210 216 223 238 264 296 329 363 396 422 398 352 299 252 229 218 202 172 135 102 73 49 32 19 9 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 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 1 1 2 2 7 22 51 78 93 96 121 151 177 195 207 221 234 246 251 239 222 201 179 166 162 163 172 191 214 244 286 339 355 339 308 270 236 224 213 194 161 121 89 61 38 24 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 28 46 61 71 100 125 143 154 157 167 181 196 208 196 181 164 144 124 113 110 113 122 139 170 213 261 274 270 252 224 199 188 179 166 142 110 80 54 37 26 15 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 1 5 13 22 33 50 68 83 97 110 109 111 115 119 122 122 117 106 90 75 65 60 60 69 90 123 165 200 217 212 185 165 151 138 126 113 102 82 59 38 25 18 13 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 1 1 5 9 13 18 20 28 44 54 56 57 56 55 54 54 54 51 44 36 30 27 29 38 62 100 140 171 187 176 128 129 132 140 144 77 49 38 32 23 15 11 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 1 0 1 3 5 6 6 5 7 13 16 19 21 23 24 22 20 18 17 13 11 9 10 14 22 40 71 105 140 164 169 141 139 159 188 199 104 42 15 14 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 1 4 6 7 5 3 2 2 2 2 3 5 5 5 4 3 3 2 1 1 1 4 10 19 35 56 88 115 122 109 99 87 74 85 54 26 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 3 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 20 37 55 64 67 58 41 30 18 9 6 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 16 23 31 32 19 14 11 7 4 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 6 9 11 11 10 7 4 3 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 0 0 0 0 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 8 10 9 6 4 4 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 2 2 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 3 4 4 4 4 5 6 6 3 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 2 2 3 3 2 1 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 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 3 3 3 3 2 1 0 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 0 1 2 3 2 2 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 2 2 2 2 2 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 1 1 1 0 1 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 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 2 3 2 2 2 3 3 3 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 1 2 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 1 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 1 1 2 2 3 2 2 2 3 3 3 3 3 4 4 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 3 3 3 3 3 2 2 3 4 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 3 3 4 4 2 3 2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 1 1 2 3 3 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 6 6 6 6 4 3 2 2 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 1 0 0 0 0 1 2 4 4 5 5 5 4 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 1 0 2 3 3 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 6 7 8 8 6 4 2 3 2 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 1 2 2 4 6 6 5 3 2 1 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 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 2 0 1 1 2 3 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 5 6 6 6 5 3 3 3 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 1 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 6 6 5 4 3 2 2 2 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 2 4 4 3 2 1 1 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 5 5 4 3 2 2 4 3 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 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 2 3 3 2 1 0 3 4 4 2 1 1 2 2 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 5 4 3 4 6 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 2 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 2 3 5 6 8 9 7 6 6 6 4 2 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 1 1 1 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
5 6 6 5 4 5 7 7 6 5 5 3 2 1 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 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 1 1 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 8 13 12 7 5 4 2 1 1 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 0 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 7 8 7 7 6 6 7 7 7 8 7 6 4 2 4 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 16 10 2 1 1 1 2 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 1 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
5 7 8 8 8 7 6 5 5 5 6 6 6 7 5 5 6 7 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 1 1 1 0 0 0 0 0 1 1 1 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 1 1 1 1 1 1 1 0 1 4 8 13 17 15 6 4 4 5 5 2 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 1 1 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 4 4 4 4 3 3 2 2 1 1 1 2 4 3 2 2 3 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 6 9 12 15 12 10 8 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 1 1 1 1 1 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 6 8 10 10 10 8 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 1 1 1 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 4 4 3 3 3 5 6 5 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 1 1 1 1 1 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 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 2 3 3 4 4 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0
5 3 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 1 1 2 3 4 4 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 2 2 3 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0
8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 4 5 6 7 7 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 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 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0
8 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 2 2 2 3 5 6 7 7 6 6 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0