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 13 14 13 12 11 9 8 7 8 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 8 9 8 5 5 6 7 7 8 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 9 8 6 5 5 5 5 6 7 8 9 9 8 7 6 7 8 8 8 7 7 8 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 9 8 8 7 8 7 7 7 7 7 7 7 8 8 7 7 6 5 4 5 6 7 7 7 8 9 9 9 8 7 nan
nan 14 15 15 13 12 9 8 8 8 8 8 8 8 8 7 8 8 8 7 6 6 6 6 6 7 7 7 7 7 8 8 6 5 5 6 7 8 8 8 8 8 7 6 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 10 8 7 6 5 5 6 6 6 7 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 5 5 6 7 7 6 7 8 9 9 9 8 7 nan
nan 16 16 15 14 12 10 9 9 9 9 9 9 8 8 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 6 6 6 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 9 9 10 11 10 9 8 6 5 5 6 7 6 7 8 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 5 6 7 7 7 7 7 7 8 9 8 7 7 nan
nan 18 17 15 14 12 11 11 11 11 10 10 10 9 9 8 8 8 8 7 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 8 8 8 9 9 8 8 8 9 9 10 10 9 9 9 9 8 9 9 10 10 10 9 8 7 6 6 6 6 7 7 7 8 9 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 10 10 10 11 11 10 10 10 10 10 11 10 9 9 8 8 8 8 7 7 7 8 8 9 9 10 9 9 8 7 6 7 7 7 6 7 7 7 8 8 8 7 7 nan
nan 17 17 15 14 13 12 12 12 12 11 11 11 10 9 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 7 6 6 6 6 7 7 7 7 9 9 8 7 7 8 8 9 9 9 8 7 8 9 9 10 10 10 10 10 9 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 9 9 10 10 9 8 7 7 7 7 6 6 6 7 7 8 8 8 8 8 nan
nan 16 16 15 14 13 13 12 12 12 12 12 12 11 10 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 8 9 9 9 9 9 9 10 10 9 9 11 12 11 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 7 7 7 8 9 9 8 8 8 9 9 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 9 8 7 6 6 7 8 9 10 10 10 9 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 nan
nan 15 14 14 14 13 13 12 11 11 12 12 12 11 11 10 10 9 8 8 7 6 6 6 6 6 7 8 7 6 6 7 8 9 9 9 10 11 11 11 11 12 13 12 11 10 11 12 12 11 11 10 10 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 10 10 11 11 11 10 10 10 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 9 10 10 10 9 7 6 7 8 9 10 10 10 9 8 7 7 7 6 6 6 6 6 7 7 8 8 8 9 nan
nan 15 14 14 13 12 11 10 10 11 11 11 11 11 11 11 10 9 8 7 7 6 6 7 6 6 8 9 8 7 7 7 8 9 10 10 11 11 11 11 11 13 13 12 11 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 13 13 12 12 11 11 11 11 11 10 9 8 8 8 9 10 9 8 8 7 7 8 8 8 8 8 9 9 10 10 10 8 7 8 10 11 12 11 9 8 8 8 9 9 9 9 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 nan
nan 16 15 14 13 12 10 9 9 10 10 10 10 11 11 11 10 9 8 8 7 6 7 7 6 6 8 9 9 8 7 7 8 9 10 10 10 10 9 9 9 11 13 12 11 10 10 10 11 11 12 13 12 12 12 11 11 12 12 12 12 12 13 12 12 11 11 12 12 12 13 14 15 15 14 13 11 11 11 10 9 8 7 6 6 6 8 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 8 7 7 9 10 11 12 10 9 9 8 8 8 9 8 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 nan
nan 14 14 14 14 12 10 8 8 9 9 9 10 10 10 10 10 9 8 8 8 7 7 7 6 7 7 7 8 8 8 8 7 8 9 9 10 10 9 8 8 10 11 11 11 10 10 10 10 10 11 12 12 12 11 11 11 12 12 11 11 12 12 12 11 10 10 10 11 11 11 12 13 14 13 12 10 10 9 9 8 7 7 6 6 7 8 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 10 12 12 11 10 9 8 8 8 7 7 7 7 8 8 8 7 6 6 7 7 7 7 8 8 8 nan
nan 10 13 15 15 13 11 9 8 8 9 9 10 9 9 8 9 10 9 9 9 8 7 7 6 6 6 7 8 8 8 8 7 7 7 8 9 10 10 8 8 8 9 10 10 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 11 10 9 8 8 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 7 8 9 10 10 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 10 11 12 12 11 10 9 8 7 7 6 7 8 8 8 7 6 6 7 7 7 6 7 8 8 8 nan
nan 7 12 15 16 14 12 10 9 9 9 9 10 10 9 8 8 9 9 9 9 8 7 7 7 6 6 7 7 7 8 9 8 7 7 8 9 9 8 7 8 8 8 9 9 10 11 11 11 10 10 10 10 11 11 10 10 9 8 8 8 9 11 10 8 7 8 9 10 11 11 11 11 11 11 11 10 9 9 9 9 10 9 9 8 9 10 10 9 9 8 8 8 7 8 8 8 8 9 10 10 10 9 9 9 8 8 8 10 11 12 13 13 12 10 8 8 7 7 7 8 8 7 6 5 6 6 6 6 7 7 8 8 8 nan
nan 7 12 15 16 15 13 11 10 9 9 10 10 10 10 9 8 8 8 8 8 7 6 7 7 7 6 6 5 6 7 8 8 7 6 7 8 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 10 8 7 7 8 9 11 12 11 9 8 8 9 10 11 11 12 12 12 12 11 10 9 9 8 8 8 7 8 8 9 11 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 13 13 11 9 9 9 9 8 8 7 6 5 4 5 5 6 6 7 8 7 6 7 nan
nan 11 13 15 15 15 14 12 11 10 10 10 10 9 9 10 10 9 8 7 7 6 5 5 7 7 6 4 4 5 6 6 6 6 6 6 6 6 5 5 6 7 8 8 8 9 9 10 10 10 10 10 11 11 10 8 7 7 7 8 10 12 13 12 9 8 8 8 9 10 11 11 12 12 12 11 10 9 8 7 6 6 6 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 11 12 12 11 11 11 12 13 12 11 10 10 10 9 8 7 6 5 5 5 5 6 7 8 8 7 6 6 nan
nan 15 15 14 14 14 14 14 12 11 10 10 9 9 9 9 10 9 8 6 5 4 4 5 6 6 5 4 4 4 5 5 5 5 5 4 4 3 4 5 6 7 7 8 8 8 8 9 9 10 10 10 11 10 9 7 7 8 9 9 10 12 13 12 9 8 8 8 8 9 9 10 11 12 12 11 10 9 8 7 6 6 7 8 8 10 10 10 9 9 9 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 10 11 12 11 11 11 11 11 10 9 8 7 6 6 5 6 6 7 8 7 7 7 7 nan
nan 19 17 14 13 13 14 14 14 13 11 10 9 8 8 9 9 9 8 5 4 3 4 5 5 5 4 3 4 4 5 5 5 4 4 3 3 3 4 6 6 7 7 8 8 8 8 8 9 9 9 10 10 9 7 7 8 9 10 10 10 12 13 11 9 8 8 8 8 8 8 9 10 11 12 11 10 9 8 7 7 6 7 8 8 9 9 10 10 9 9 9 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 9 9 10 11 11 11 11 10 9 7 6 6 6 6 6 7 7 7 7 7 7 nan
nan 16 16 13 12 12 13 14 15 14 13 12 10 9 8 8 9 9 7 5 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 8 9 10 10 10 11 11 9 8 8 8 8 8 8 8 9 10 11 11 12 11 9 8 7 7 7 7 8 7 8 9 10 10 9 9 9 9 8 8 9 9 10 9 8 8 8 8 7 7 6 6 5 5 7 9 9 8 7 7 9 9 10 11 11 10 8 6 5 5 5 6 6 7 7 8 7 7 7 nan
nan 9 11 11 9 9 10 13 14 15 15 14 12 10 8 8 9 9 7 6 5 5 5 6 6 4 4 4 5 5 5 4 4 4 5 5 6 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 6 6 7 8 9 9 10 11 10 9 8 8 9 9 8 8 9 9 9 9 10 11 11 10 8 7 7 7 7 8 7 7 9 10 10 9 9 9 9 9 9 10 11 10 10 9 9 9 9 8 8 7 7 6 6 7 8 8 7 6 6 7 8 9 10 11 10 7 4 3 4 4 5 6 7 8 8 8 7 7 nan
nan 3 5 7 6 6 7 10 13 15 17 17 15 11 9 8 9 9 8 7 6 5 6 7 6 5 5 6 6 7 6 6 6 7 7 7 7 8 9 8 8 8 8 8 9 9 9 8 8 8 8 7 6 6 5 5 5 6 7 8 9 10 9 8 8 9 10 10 9 9 10 10 10 9 9 10 11 10 9 8 8 7 8 8 7 7 9 10 10 9 8 9 9 10 10 11 12 11 10 10 10 10 10 10 9 9 9 8 8 8 8 7 6 5 6 7 7 8 9 10 8 6 4 4 4 5 6 7 7 8 9 8 8 7 nan
nan 2 3 4 4 4 5 8 11 15 19 19 17 14 11 10 10 10 8 7 5 5 6 6 6 5 5 7 7 8 8 8 9 10 10 9 8 8 8 8 7 7 8 8 9 9 9 8 8 8 7 6 5 5 5 5 5 5 6 7 8 9 8 8 8 8 9 9 8 8 9 10 10 9 8 9 10 10 9 9 9 9 8 7 7 7 9 10 10 9 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 8 9 9 9 9 9 8 7 6 6 7 7 7 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 7 nan
nan 6 5 4 4 4 5 7 11 16 21 22 20 17 14 12 11 10 8 6 5 5 6 6 5 5 6 7 7 8 9 9 11 12 12 11 10 9 8 7 7 7 7 7 8 9 9 8 8 8 8 7 6 5 6 7 6 6 5 6 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 10 10 10 9 8 7 7 7 8 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 9 9 8 8 8 8 7 6 6 6 6 6 7 7 nan
nan 10 9 7 6 5 6 8 12 17 22 25 23 20 17 14 12 10 7 5 5 6 7 6 5 5 6 7 7 8 9 10 12 13 12 11 10 9 8 7 7 6 6 7 8 8 8 9 9 9 9 9 8 7 7 8 8 7 6 6 8 8 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 9 8 8 7 7 8 9 10 11 9 8 7 7 8 8 9 9 9 9 9 8 8 8 9 11 11 10 8 8 8 7 7 7 7 8 9 9 10 11 11 11 10 9 8 8 7 7 7 7 6 6 6 7 nan
nan 10 10 9 9 9 9 10 12 16 21 25 25 23 20 16 13 10 7 5 6 7 7 6 5 6 7 8 9 9 10 12 13 13 12 11 10 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 8 7 8 8 8 7 7 8 8 8 9 9 9 8 8 8 9 9 10 10 9 8 8 8 9 9 10 10 10 9 9 8 7 7 8 10 11 10 9 8 7 7 7 8 8 8 8 8 8 7 8 10 12 12 10 9 8 7 7 6 6 6 7 8 9 10 11 11 11 10 8 8 8 8 8 9 8 8 7 7 7 nan
nan 9 10 10 11 12 12 12 13 15 18 22 25 25 23 19 14 11 8 6 7 7 7 6 6 8 10 11 11 11 12 13 13 12 11 10 9 9 9 9 10 9 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 6 7 8 8 7 7 8 9 9 9 9 9 9 10 11 11 10 9 8 9 9 9 9 10 10 10 9 9 8 8 8 10 11 11 10 9 8 8 7 8 8 8 8 8 8 7 8 10 11 11 10 9 8 7 6 6 6 6 6 7 9 10 11 11 11 10 9 8 8 9 9 9 9 9 8 8 8 nan
nan 9 10 11 12 13 14 14 14 14 16 19 24 27 27 22 16 12 9 8 8 8 7 7 8 10 12 12 12 11 11 12 11 9 8 8 8 8 8 9 9 8 8 7 6 6 6 7 7 7 8 8 8 7 6 6 5 5 6 7 6 6 7 8 9 10 10 10 10 10 10 11 11 10 9 8 9 9 9 9 10 10 10 10 9 9 8 9 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 6 6 6 6 6 6 7 8 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 nan
nan 10 10 10 11 13 13 14 14 14 16 18 23 27 28 24 18 13 10 9 9 9 10 11 12 12 12 11 9 8 7 7 5 4 4 5 5 5 5 5 5 5 5 4 4 3 4 5 6 6 7 7 7 7 7 6 6 6 6 6 5 5 7 8 10 10 10 10 10 10 10 11 11 10 9 8 9 9 9 10 10 10 10 10 9 9 9 9 10 11 12 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 7 6 7 7 7 7 7 8 8 9 9 10 12 12 12 11 10 9 8 8 8 8 9 9 nan
nan 10 10 11 11 12 13 13 14 15 17 20 24 27 27 23 18 14 12 11 11 12 13 15 15 12 9 7 4 2 2 2 1 1 2 3 3 2 2 1 1 2 2 3 3 3 4 4 5 6 6 7 7 8 8 7 7 7 7 6 5 5 7 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 7 7 7 7 7 9 11 13 13 13 12 11 10 8 7 7 8 8 nan
nan 10 10 11 12 13 14 14 15 17 19 22 25 26 24 20 16 14 13 13 13 14 14 15 14 11 7 3 1 -0 1 3 4 4 4 3 2 1 0 0 1 2 3 4 4 5 5 5 5 6 7 7 7 7 7 6 6 7 6 6 6 6 8 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 6 6 6 7 9 11 12 13 13 13 12 10 9 9 9 9 nan
nan 10 11 12 12 13 14 16 17 19 21 23 24 23 20 16 14 13 13 14 14 13 13 12 12 11 8 5 3 3 4 8 9 8 8 6 4 3 3 3 3 3 4 4 4 5 5 6 7 8 8 8 7 6 5 5 5 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 11 9 8 7 7 6 6 6 6 7 8 9 10 11 13 15 14 13 12 12 13 12 nan
nan 10 11 12 13 14 15 16 18 19 21 21 20 18 16 13 11 10 10 12 12 12 11 11 11 13 13 12 11 10 11 12 11 9 8 7 6 6 6 6 5 4 3 4 4 5 6 8 10 10 9 8 7 5 5 5 5 6 6 6 7 7 8 9 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 10 8 7 7 7 7 7 6 7 7 8 9 9 10 11 13 13 13 14 15 16 14 nan
nan 11 12 13 14 14 15 16 17 18 18 18 16 15 13 12 11 9 8 8 10 10 11 11 13 16 19 20 21 21 19 16 12 9 8 7 7 7 6 5 4 3 3 5 6 9 10 12 12 11 9 7 6 6 6 7 7 7 7 8 7 6 7 7 8 9 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 8 8 8 8 8 8 9 10 11 11 11 12 12 12 11 10 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 10 11 12 13 14 14 14 nan
nan 12 13 14 14 14 14 15 15 15 15 15 14 13 12 11 11 10 9 8 9 10 11 12 13 17 21 25 27 27 25 19 13 9 6 5 5 4 3 1 1 2 4 7 11 13 14 13 11 9 7 6 6 7 8 8 9 9 9 8 7 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 10 10 11 11 10 9 9 8 8 8 9 10 9 9 10 11 11 12 12 12 12 12 11 9 8 7 8 9 9 9 8 8 7 7 7 7 7 7 7 6 7 8 9 10 10 11 12 nan
nan 13 14 14 14 14 14 14 14 13 13 13 13 12 12 11 11 11 10 10 10 10 11 12 12 14 19 23 25 25 23 18 12 7 5 3 3 3 4 4 3 4 7 11 14 15 13 10 8 7 7 7 8 9 9 10 10 10 10 9 9 8 7 6 6 7 8 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 11 10 9 8 8 9 10 11 11 11 10 11 11 12 12 12 11 11 11 10 9 9 10 11 10 9 8 8 7 8 8 8 7 7 6 6 7 7 7 7 7 8 9 nan
nan 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 15 18 20 21 18 15 11 10 9 7 6 7 9 12 13 14 15 16 16 13 9 6 5 6 7 8 9 10 10 9 9 9 10 11 11 10 9 7 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 8 8 8 9 11 12 12 12 11 11 10 11 10 10 10 11 11 11 10 10 11 11 11 10 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 nan
nan 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 13 15 17 18 17 16 15 17 17 15 14 14 15 18 20 21 20 18 14 10 7 6 6 6 7 8 8 9 8 8 8 8 9 10 11 10 9 8 7 6 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 9 8 8 9 10 11 12 12 12 12 11 11 11 11 10 10 11 12 12 12 12 12 12 12 12 11 10 9 10 10 10 10 9 8 8 7 7 7 7 8 9 9 nan
nan 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 15 16 18 18 19 21 21 19 18 17 18 19 20 19 16 13 10 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 7 6 5 6 7 7 8 8 8 9 9 9 9 10 10 11 11 10 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 10 11 11 11 11 12 12 11 11 11 11 11 11 12 13 13 13 12 11 11 12 12 11 10 10 10 11 11 10 9 8 8 7 7 7 9 10 11 nan
nan 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 12 13 15 17 18 19 20 20 19 18 17 18 18 17 14 12 9 8 7 7 7 7 7 7 7 6 6 7 7 8 7 7 6 5 5 6 6 6 5 5 5 6 7 8 8 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 12 13 12 11 11 11 11 11 11 11 10 10 11 11 11 10 9 9 8 7 6 7 8 9 nan
nan 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 11 12 11 11 10 10 10 10 11 11 13 14 15 16 17 18 17 16 16 15 15 14 12 10 8 7 6 6 6 7 8 8 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 6 5 5 6 6 7 8 9 10 10 10 10 11 11 10 10 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 12 12 12 12 11 10 11 11 11 11 10 10 10 11 11 11 10 10 9 7 5 5 6 7 nan
nan 13 13 13 13 12 13 13 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 13 13 13 12 11 10 9 9 8 7 7 7 7 8 9 9 9 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 11 10 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 7 6 6 5 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 9 8 8 9 8 8 7 7 7 7 7 8 9 10 11 12 12 12 11 10 11 11 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 10 10 9 9 9 9 10 10 10 10 10 11 11 12 12 11 10 10 10 10 9 10 10 9 9 9 8 8 8 9 8 8 8 8 9 9 10 11 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 8 7 6 5 nan
nan 12 11 11 11 12 12 12 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 11 12 14 15 15 14 13 12 12 12 12 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 7 7 8 9 9 9 9 8 9 9 9 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 9 8 7 6 nan
nan 11 11 11 11 11 11 12 12 12 11 10 10 9 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 10 11 13 13 14 14 13 13 12 11 11 10 9 9 8 7 7 7 7 7 7 8 9 9 9 9 10 10 10 9 9 7 7 7 8 9 9 9 9 8 8 9 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 6 7 8 8 8 9 9 9 9 10 11 11 11 10 9 9 10 10 10 10 9 9 8 8 nan
nan 10 10 10 11 11 11 11 12 12 11 11 10 9 8 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 9 8 8 10 11 13 13 12 11 10 9 9 9 8 7 6 5 5 5 6 7 7 8 8 9 9 10 10 10 10 10 10 9 9 7 6 6 7 8 9 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 10 9 8 8 9 9 9 9 10 9 8 8 9 11 13 12 11 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 10 11 11 11 11 11 11 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 9 9 9 10 11 12 11 10 8 7 7 7 7 6 5 4 4 4 5 7 8 9 9 9 9 9 10 10 10 10 9 9 9 8 7 6 6 7 8 9 9 9 8 8 8 9 10 9 8 8 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 10 11 10 9 8 7 9 12 12 11 10 9 9 9 10 10 10 10 10 10 nan
nan 9 9 10 11 11 11 11 10 10 10 10 10 9 8 8 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 9 7 6 5 6 6 6 5 5 5 6 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 7 9 10 10 9 8 8 8 10 10 11 10 9 8 8 9 10 11 11 10 9 8 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 8 7 8 9 10 10 9 8 7 8 8 8 9 9 9 9 nan
nan 9 9 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 11 12 12 12 11 10 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 7 9 11 12 11 10 10 9 10 11 11 11 10 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 8 8 7 8 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 nan
nan 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 12 11 10 8 7 6 6 8 9 9 9 10 10 10 10 11 12 12 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 11 10 10 9 8 8 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 8 7 8 7 7 6 6 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 nan
nan 9 9 9 9 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 7 6 5 6 8 9 9 9 9 9 10 11 13 14 14 14 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 8 7 7 6 6 6 7 7 7 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 6 7 7 6 6 5 6 6 7 7 8 9 9 9 9 8 8 8 8 8 7 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 7 8 9 9 9 8 7 7 9 10 12 13 15 15 13 12 11 11 11 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 6 5 6 7 8 8 8 8 7 7 8 8 8 7 6 7 7 8 8 8 9 9 9 10 9 9 9 8 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 10 10 9 9 9 9 8 8 8 8 8 9 10 12 13 12 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 7 6 6 7 8 8 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 nan
nan 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 13 14 14 13 11 10 9 10 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 12 13 14 15 14 12 11 11 11 11 12 12 11 10 8 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 9 9 8 7 7 7 8 8 7 7 7 7 7 7 8 9 9 8 7 6 6 5 5 5 6 6 6 7 7 7 8 8 nan
nan 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 11 12 13 14 14 14 13 13 12 12 12 12 11 10 9 8 8 8 8 8 7 7 7 8 9 10 11 11 11 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 8 8 7 8 8 9 9 8 7 7 8 8 8 8 7 7 8 7 7 7 9 9 8 7 6 6 6 6 6 6 7 7 7 8 8 8 8 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 8 9 9 10 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 nan
nan 8 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 8 9 9 10 10 10 9 9 8 9 9 10 10 10 10 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 8 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 10 10 nan
nan 9 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 9 10 10 10 10 8 8 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 7 7 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 10 9 8 8 8 9 10 nan
nan 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 10 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 10 9 8 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 10 9 10 9 9 8 7 8 9 10 nan
nan 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 7 7 6 6 6 7 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 9 9 9 8 8 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 6 6 6 6 6 6 7 7 8 8 8 8 8 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 10 11 10 9 9 9 9 8 7 6 7 7 8 7 7 8 9 9 9 9 10 10 11 11 10 10 10 9 9 9 10 10 10 9 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 10 10 9 10 10 9 8 7 7 7 8 9 8 9 10 10 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 9 9 8 7 7 6 6 5 6 6 7 7 8 8 9 9 9 10 9 9 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 9 8 8 9 9 10 10 11 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 8 8 8 8 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 7 7 6 6 6 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 11 10 10 11 12 12 12 13 13 13 13 14 14 13 13 12 12 12 11 12 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 14 14 14 14 14 15 15 14 14 13 13 14 14 14 14 14 14 14 13 13 14 14 14 14 13 12 12 12 13 12 12 12 12 12 12 12 nan
nan 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 12 13 13 14 14 15 15 15 16 15 14 14 15 15 15 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 11 11 10 nan
nan 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 7 7 8 9 9 9 10 9 9 7 6 6 7 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 13 13 14 14 14 14 13 13 13 13 13 12 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 11 11 10 9 9 9 10 10 10 9 9 9 10 11 11 10 9 nan
nan 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 7 7 6 6 6 5 5 5 5 6 6 7 8 8 9 10 10 10 10 9 8 6 6 6 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 13 13 14 13 13 12 12 11 10 10 10 9 9 9 8 8 8 7 7 7 8 7 8 8 9 9 9 9 9 9 9 10 10 9 9 8 9 9 9 9 8 8 9 10 10 10 9 9 nan
nan 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 5 5 6 7 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 9 9 10 9 9 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 12 12 13 13 13 13 12 11 10 9 8 7 7 7 7 8 8 7 8 7 7 7 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 nan
nan 11 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 13 14 14 14 13 12 11 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 10 9 9 9 9 8 8 8 9 9 8 9 10 nan
nan 12 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 13 15 16 15 14 12 10 9 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 9 9 10 10 nan
nan 12 12 12 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 14 16 16 15 13 11 9 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 9 10 10 9 nan
nan 12 12 13 13 12 11 11 10 9 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 10 11 13 14 15 15 16 15 13 11 9 7 6 6 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 nan
nan 11 12 12 13 13 13 12 12 11 10 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 12 13 15 16 17 17 16 14 12 9 8 7 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 10 11 10 10 nan
nan 10 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 9 9 10 11 12 13 14 16 17 18 17 16 13 11 8 7 6 7 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 nan
nan 9 9 10 11 11 12 12 12 13 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 12 13 14 14 15 16 17 17 15 13 10 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 12 12 nan
nan 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 9 9 10 10 11 12 12 12 12 13 13 13 13 14 14 13 13 13 13 13 13 12 12 13 14 15 15 16 16 16 15 13 11 9 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 9 10 11 13 14 14 13 nan
nan 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 14 12 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 9 10 12 13 14 14 13 nan
nan 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 11 12 12 13 13 14 14 14 13 12 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 9 9 9 8 8 9 10 10 11 11 11 11 10 10 10 11 11 12 12 13 13 12 nan
nan 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 9 8 8 9 10 11 11 12 12 13 13 12 11 10 8 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 6 6 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 9 9 9 8 8 9 10 11 11 12 12 11 11 11 11 11 12 12 12 12 11 10 nan
nan 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 10 11 12 12 12 11 10 9 8 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 9 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 10 8 nan
nan 8 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 11 11 12 11 11 10 8 7 6 6 7 7 7 6 6 6 7 7 8 8 7 7 7 7 7 7 8 8 10 10 10 10 9 9 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 12 12 11 10 10 10 10 10 9 9 7 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1598 1748 1873 1944 1978 2009 2058 2125 2176 2212 2224 2217 2194 2165 2143 2137 2133 2137 2161 2214 2304 2430 2574 2699 2744 2714 2674 2589 2478 2380 2324 2314 2362 2431 2415 2416 2425 2436 2448 2457 2495 2523 2468 2382 2324 2288 2261 2255 2267 2281 2288 2287 2289 2288 2295 2312 2313 2269 2258 2268 2274 2295 2304 2290 2276 2233 2158 2089 2043 2001 1953 1898 1878 1970 2098 2239 2327 2352 2327 2277 2224 2164 2120 2086 2062 2070 2118 2208 2327 2434 2486 2529 2571 2631 2758 2900 3002 3056 3070 3040 2974 2868 2776 2722 2726 2775 2762 2654 2455 2145 1873 1705 1585 1460 1364 1308 1385 1418 1287 1058 688 237 76 47 36 43 57 72 75 63 48 47 54 68 93
1508 1636 1765 1855 1912 1970 2052 2144 2191 2234 2262 2258 2256 2270 2267 2222 2197 2213 2245 2292 2367 2473 2592 2683 2703 2676 2646 2571 2475 2399 2364 2360 2403 2474 2410 2403 2423 2445 2469 2491 2521 2551 2532 2477 2424 2383 2353 2342 2346 2353 2361 2358 2353 2347 2345 2346 2338 2293 2278 2287 2296 2307 2315 2309 2286 2235 2183 2147 2104 2056 1998 1944 1937 2027 2181 2275 2297 2291 2272 2241 2205 2155 2110 2062 2011 1972 1979 2053 2183 2313 2379 2430 2475 2519 2607 2760 2935 3032 3042 2976 2888 2769 2651 2564 2523 2501 2418 2318 2141 1895 1684 1539 1438 1362 1304 1343 1451 1396 1083 646 270 73 30 14 7 13 24 32 32 27 26 26 19 21 29
1452 1534 1637 1743 1842 1941 2051 2160 2212 2316 2361 2362 2375 2409 2419 2387 2341 2303 2325 2366 2425 2502 2574 2621 2646 2645 2634 2587 2508 2430 2378 2355 2379 2423 2402 2410 2430 2448 2467 2492 2520 2551 2565 2550 2518 2484 2457 2442 2436 2434 2429 2421 2412 2406 2406 2409 2394 2337 2320 2318 2319 2323 2326 2319 2293 2247 2225 2190 2159 2119 2062 2007 2002 2094 2230 2267 2260 2259 2269 2270 2244 2194 2135 2067 1973 1883 1851 1911 2045 2173 2262 2312 2361 2414 2498 2629 2778 2867 2843 2766 2651 2534 2431 2335 2246 2179 2090 1970 1833 1677 1539 1442 1376 1314 1273 1371 1430 1244 826 378 108 37 15 4 1 0 3 6 7 6 7 7 3 3 3
1412 1454 1538 1657 1794 1931 2055 2158 2250 2378 2457 2499 2528 2552 2558 2539 2491 2401 2407 2438 2478 2524 2567 2595 2613 2622 2613 2581 2516 2438 2371 2328 2361 2390 2403 2399 2403 2426 2457 2478 2505 2543 2595 2609 2596 2573 2552 2536 2519 2500 2480 2465 2458 2458 2465 2470 2450 2395 2365 2349 2340 2336 2334 2326 2307 2284 2270 2212 2191 2176 2132 2081 2082 2197 2284 2265 2244 2256 2289 2311 2280 2220 2158 2069 1939 1827 1783 1824 1940 2093 2172 2223 2288 2364 2443 2523 2594 2643 2595 2510 2403 2300 2204 2108 2006 1925 1813 1724 1634 1543 1464 1403 1345 1273 1281 1364 1326 1040 598 218 54 23 11 3 0 0 0 0 0 0 0 0 0 0 0
1372 1405 1496 1621 1769 1921 2055 2170 2288 2417 2527 2604 2654 2682 2688 2677 2625 2509 2490 2502 2522 2544 2564 2579 2596 2598 2584 2560 2510 2440 2376 2339 2341 2375 2401 2395 2381 2393 2432 2461 2498 2544 2619 2655 2655 2640 2620 2598 2570 2540 2513 2496 2492 2497 2504 2504 2483 2439 2408 2389 2373 2358 2351 2349 2322 2316 2305 2264 2235 2218 2191 2152 2137 2225 2315 2285 2252 2255 2279 2295 2281 2236 2165 2058 1931 1822 1770 1792 1874 2002 2119 2195 2272 2348 2409 2449 2457 2426 2347 2236 2124 2031 1957 1890 1816 1740 1671 1608 1541 1473 1415 1366 1300 1247 1301 1328 1162 783 359 99 26 9 4 1 0 0 0 0 0 0 0 0 0 0 0
1371 1392 1487 1616 1762 1910 2050 2187 2329 2472 2591 2678 2737 2768 2781 2789 2691 2603 2568 2561 2564 2570 2576 2583 2588 2583 2572 2544 2502 2451 2395 2339 2322 2342 2361 2357 2335 2340 2389 2435 2478 2550 2627 2674 2689 2681 2659 2627 2589 2556 2529 2516 2516 2522 2526 2524 2512 2488 2462 2439 2411 2377 2350 2352 2330 2330 2324 2302 2277 2251 2225 2209 2203 2263 2309 2292 2260 2245 2248 2257 2251 2222 2153 2053 1934 1829 1775 1789 1855 1960 2099 2191 2265 2317 2324 2293 2243 2189 2109 2010 1915 1847 1805 1761 1726 1683 1632 1579 1522 1458 1391 1330 1275 1266 1264 1144 820 413 130 35 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1412 1422 1501 1615 1741 1879 2040 2213 2381 2539 2668 2762 2821 2854 2865 2845 2767 2686 2640 2620 2611 2607 2604 2601 2599 2589 2571 2547 2512 2463 2401 2346 2320 2321 2308 2285 2253 2248 2297 2374 2451 2569 2654 2692 2708 2705 2682 2644 2598 2567 2546 2537 2539 2542 2545 2546 2545 2529 2512 2487 2455 2413 2371 2355 2347 2343 2338 2334 2321 2291 2258 2261 2285 2321 2333 2313 2272 2233 2210 2201 2188 2180 2129 2051 1959 1875 1827 1835 1888 1969 2080 2171 2236 2261 2230 2166 2107 2021 1951 1883 1813 1761 1741 1731 1711 1670 1618 1568 1513 1446 1377 1333 1309 1226 1013 674 327 105 30 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1395 1448 1521 1622 1742 1888 2065 2262 2451 2617 2749 2848 2913 2948 2954 2921 2843 2762 2710 2681 2662 2649 2638 2626 2613 2593 2576 2538 2482 2431 2394 2356 2305 2272 2228 2188 2160 2172 2243 2343 2445 2591 2700 2724 2725 2724 2699 2658 2615 2589 2577 2568 2564 2565 2569 2572 2574 2560 2547 2526 2493 2447 2395 2363 2357 2356 2355 2357 2358 2347 2326 2324 2351 2374 2373 2349 2300 2236 2185 2159 2154 2147 2118 2068 2005 1949 1917 1919 1931 1972 2045 2132 2198 2211 2166 2095 2032 1926 1863 1836 1820 1804 1786 1775 1761 1714 1641 1575 1520 1465 1408 1361 1243 971 600 267 74 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1169 1373 1524 1654 1780 1925 2105 2309 2495 2675 2821 2934 3010 3051 3053 3007 2922 2839 2783 2748 2722 2699 2674 2644 2631 2602 2582 2543 2485 2416 2347 2287 2241 2212 2189 2161 2142 2162 2233 2335 2447 2602 2728 2749 2743 2738 2710 2672 2642 2623 2609 2593 2582 2583 2594 2603 2603 2596 2592 2577 2544 2492 2431 2385 2373 2385 2397 2408 2426 2441 2435 2421 2419 2423 2414 2391 2340 2261 2184 2144 2132 2119 2095 2059 2021 1995 1985 1973 1963 1986 2050 2123 2158 2116 2000 1859 1780 1676 1609 1608 1672 1772 1865 1904 1867 1825 1760 1670 1582 1507 1412 1300 1010 586 248 74 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
719 1088 1407 1645 1814 1967 2144 2347 2540 2732 2891 3010 3097 3146 3145 3089 3002 2920 2862 2822 2786 2750 2714 2681 2662 2637 2607 2567 2511 2443 2379 2331 2267 2237 2204 2181 2180 2218 2291 2368 2449 2589 2695 2737 2728 2694 2658 2636 2628 2619 2605 2594 2598 2621 2654 2682 2685 2654 2632 2614 2588 2554 2519 2459 2405 2419 2450 2488 2522 2542 2540 2532 2517 2505 2472 2419 2350 2271 2187 2125 2084 2058 2040 2024 2015 2019 2028 2018 2011 2023 2058 2071 2008 1842 1584 1326 1183 1098 1052 1086 1272 1624 2017 1992 1864 1754 1677 1633 1620 1606 1494 1159 652 252 63 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
284 621 1069 1493 1776 1967 2151 2359 2561 2754 2919 3055 3162 3224 3224 3165 3077 2999 2940 2893 2849 2804 2764 2733 2714 2683 2631 2575 2534 2482 2423 2406 2331 2282 2246 2235 2250 2280 2309 2333 2357 2399 2418 2428 2390 2321 2288 2307 2351 2407 2478 2532 2562 2574 2570 2566 2558 2486 2415 2377 2344 2316 2349 2316 2252 2236 2255 2307 2373 2425 2438 2445 2445 2440 2413 2347 2251 2153 2072 2029 2007 1988 1993 2023 2069 2114 2124 2082 2030 1982 1932 1841 1665 1379 1011 708 580 562 541 555 743 1146 1528 1540 1485 1418 1374 1376 1424 1453 1256 746 294 71 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
62 212 572 1133 1597 1901 2122 2342 2557 2752 2921 3074 3200 3280 3291 3234 3151 3068 3012 2966 2923 2877 2829 2786 2752 2714 2653 2594 2552 2501 2437 2401 2356 2318 2294 2289 2292 2275 2219 2124 1994 1815 1634 1483 1386 1349 1358 1386 1442 1580 1831 2021 2091 2059 1958 1861 1824 1770 1687 1637 1591 1549 1626 1647 1644 1622 1622 1671 1757 1839 1886 1927 1975 2011 2015 1968 1881 1789 1725 1733 1791 1840 1901 1977 2053 2134 2197 2059 1917 1788 1660 1500 1270 974 681 479 390 326 270 260 315 442 572 707 814 877 880 833 777 730 543 266 88 17 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 32 165 655 1287 1762 2049 2263 2473 2681 2872 3052 3205 3307 3332 3287 3235 3154 3085 3034 2990 2942 2890 2840 2794 2747 2685 2627 2562 2495 2446 2423 2402 2369 2332 2300 2244 2130 1930 1631 1293 966 696 492 389 380 409 438 495 585 802 1006 1131 1169 1105 972 923 883 834 798 760 732 799 833 850 839 837 867 916 965 1054 1132 1236 1349 1424 1432 1380 1311 1266 1337 1459 1523 1573 1621 1660 1780 2062 1895 1695 1520 1365 1196 983 756 548 365 242 181 165 161 142 125 114 175 273 355 354 247 132 106 81 42 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 13 289 954 1598 2010 2222 2378 2588 2798 3009 3184 3312 3372 3361 3310 3229 3153 3099 3056 3008 2949 2884 2823 2778 2715 2643 2566 2504 2477 2472 2456 2406 2326 2221 2041 1755 1382 972 602 347 192 97 54 51 62 73 107 129 234 331 403 470 492 395 365 316 288 269 251 250 277 284 303 305 316 334 338 332 386 458 563 697 834 915 907 879 841 876 970 1003 1058 1187 1321 1409 1707 1675 1510 1316 1130 938 722 510 327 181 103 104 141 141 96 48 24 25 47 75 78 32 4 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 1 2 118 671 1411 2005 2283 2341 2474 2680 2929 3135 3289 3383 3409 3377 3297 3216 3159 3114 3061 2990 2910 2849 2800 2740 2676 2614 2567 2546 2537 2493 2408 2275 2084 1779 1368 933 546 264 117 54 23 10 12 16 20 26 30 51 76 103 143 182 122 88 56 44 46 51 57 61 58 71 81 94 102 97 88 99 125 174 237 305 346 359 475 451 419 437 547 736 949 1106 1049 1325 1471 1387 1187 959 711 444 266 140 61 36 65 115 132 93 38 8 0 3 7 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 1 53 440 1148 1897 2346 2402 2436 2603 2850 3071 3249 3367 3410 3386 3325 3253 3197 3144 3084 3011 2930 2874 2822 2776 2732 2685 2642 2604 2565 2503 2406 2223 1921 1503 1034 611 309 137 65 30 10 3 5 8 7 7 10 15 25 36 47 63 36 23 13 7 5 6 8 9 8 9 13 18 20 18 13 13 21 39 66 94 105 103 182 181 180 227 347 537 769 994 1055 1248 1299 1228 1062 811 498 234 125 56 21 18 46 90 122 88 33 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 30 256 815 1649 2335 2529 2529 2616 2808 3015 3202 3334 3388 3370 3322 3260 3211 3157 3098 3032 2961 2901 2861 2833 2806 2771 2730 2682 2620 2544 2402 2158 1794 1337 856 450 209 92 54 30 12 2 1 3 3 3 3 3 8 15 19 22 11 7 3 1 0 0 0 1 0 0 0 1 1 1 0 0 1 6 20 38 54 64 63 66 79 112 190 328 514 725 824 922 1014 1034 936 719 429 234 129 68 37 30 46 82 106 65 24 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 15 117 445 1225 2076 2507 2617 2665 2799 2977 3157 3302 3381 3377 3321 3263 3229 3200 3153 3087 3023 2976 2935 2904 2879 2853 2817 2763 2689 2574 2379 2088 1691 1210 720 335 154 75 47 25 9 1 0 0 1 1 1 1 2 5 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 19 20 23 28 29 35 68 147 275 416 491 555 659 746 727 582 444 328 213 135 89 64 60 79 63 31 10 2 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0
0 0 0 5 39 180 728 1520 2173 2521 2659 2789 2951 3123 3268 3354 3364 3318 3274 3256 3253 3227 3173 3115 3070 3013 2973 2939 2912 2881 2829 2739 2588 2335 1964 1480 953 501 218 103 62 38 18 5 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 10 10 7 7 14 43 115 196 209 199 263 355 375 312 298 272 200 128 79 55 45 41 18 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 1 1 1 1 1 1 1 0 0 0
0 0 0 1 14 69 333 864 1542 2141 2525 2744 2926 3112 3260 3333 3337 3305 3279 3278 3292 3289 3248 3183 3129 3068 3027 2992 2958 2920 2864 2764 2569 2233 1749 1154 615 265 116 67 42 27 14 6 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 3 14 45 79 67 53 69 98 108 107 116 88 50 23 14 13 9 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 1
1 0 0 0 5 29 112 353 823 1492 2216 2620 2877 3097 3259 3331 3325 3307 3309 3326 3341 3337 3300 3238 3184 3118 3062 3025 2984 2929 2841 2678 2348 1898 1342 765 339 132 69 45 31 22 15 9 5 2 0 0 0 1 1 1 1 2 2 2 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 1 3 10 20 15 10 10 16 27 35 39 30 13 3 3 2 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 1 1 1 1 0 0 0
7 1 0 0 1 12 33 117 369 911 1807 2451 2807 3054 3221 3307 3331 3341 3371 3395 3399 3383 3344 3283 3214 3140 3078 3018 2930 2795 2593 2277 1739 1206 746 391 172 74 42 34 26 20 15 10 6 3 1 1 1 1 1 2 2 2 2 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 1 2 2 1 1 4 6 7 9 9 4 2 4 3 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0
9 2 0 0 0 5 15 51 177 547 1393 2248 2732 3019 3189 3286 3340 3383 3428 3457 3458 3426 3367 3296 3230 3163 3094 2969 2734 2378 1929 1433 929 531 297 162 85 48 36 36 24 19 14 8 3 1 1 1 1 1 1 2 2 2 1 1 1 1 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 1 1 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 2 11 27 26 12
2 0 0 0 0 4 17 45 103 318 987 1949 2621 3011 3202 3294 3359 3417 3468 3503 3502 3453 3372 3289 3223 3165 3056 2814 2366 1749 1096 579 326 192 117 74 50 39 35 32 20 17 13 8 4 1 0 1 1 1 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 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 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 12 65 118 111 76
0 0 1 2 6 14 34 73 108 212 638 1532 2404 2993 3271 3362 3406 3461 3505 3533 3524 3467 3377 3283 3207 3116 2871 2397 1730 1042 509 214 117 79 52 36 29 25 21 14 11 10 9 7 4 1 1 2 5 4 2 2 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 54 106 117 111 114
0 1 3 8 17 33 58 108 155 223 463 1128 2075 2910 3354 3472 3480 3521 3545 3549 3520 3451 3358 3262 3159 2960 2443 1696 985 479 210 90 47 28 19 16 15 14 9 4 3 4 5 6 8 11 8 12 18 17 14 11 7 4 4 3 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 8 20 41
0 0 1 5 18 40 68 116 180 269 450 915 1805 2821 3424 3588 3563 3572 3573 3553 3504 3431 3341 3223 3016 2536 1708 946 441 183 75 30 11 6 5 7 7 6 3 0 1 3 6 11 19 30 30 31 33 31 25 18 10 6 5 4 3 2 1 0 0 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10
1 1 1 2 7 28 56 108 181 285 466 871 1698 2789 3475 3686 3657 3623 3564 3492 3387 3256 3127 2951 2569 1745 907 405 168 76 38 17 2 6 6 4 2 2 4 6 7 10 14 21 30 40 44 45 41 33 23 13 6 5 4 3 2 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6
1 1 1 2 2 11 30 69 129 220 392 766 1575 2596 3268 3509 3476 3349 3159 2992 2815 2616 2399 2119 1666 918 407 165 74 43 29 24 13 14 8 2 2 9 20 27 30 33 34 36 41 46 51 49 41 30 18 9 4 4 3 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
2 2 2 2 2 3 12 39 91 167 294 587 1212 1931 2404 2558 2461 2228 1941 1734 1619 1486 1285 1014 700 356 179 91 50 29 16 12 7 16 14 12 20 32 40 52 74 72 62 54 51 51 50 42 31 20 12 6 4 4 3 2 1 1 1 1 1 1 2 2 2 2 2 2 1 2 2 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 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 2 5 18 52 111 195 334 635 949 1130 1133 978 746 573 505 489 472 409 302 193 115 87 65 43 23 7 2 0 27 29 23 26 45 69 86 105 97 80 64 51 41 32 24 15 9 7 5 5 5 4 3 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 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 1 1 1 1 1 1 1 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
2 1 1 1 1 2 2 4 17 49 101 160 234 301 331 309 238 149 103 97 92 91 84 68 52 46 56 58 41 39 47 22 1 20 52 66 72 88 113 105 186 261 268 213 135 59 19 7 4 4 6 7 7 6 4 3 3 2 1 1 2 2 3 3 3 3 3 3 2 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 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 1 1 2 1 1 3 13 37 73 103 121 128 123 109 90 75 62 49 42 39 37 39 60 65 67 76 83 66 17 1 79 254 404 489 511 486 556 757 733 534 309 163 52 19 6 3 5 7 8 7 6 5 3 3 3 3 2 2 2 3 3 2 3 3 3 2 2 2 3 3 3 3 3 3 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 1 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
2 2 2 2 1 1 1 1 1 1 6 22 48 74 90 96 94 87 71 54 39 30 25 25 31 43 65 60 79 79 40 9 52 240 488 693 742 616 447 351 315 258 193 144 107 36 13 5 5 7 8 7 6 4 3 4 4 4 4 4 4 3 2 2 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0
3 2 2 2 1 1 1 1 0 0 0 2 8 28 40 47 48 43 32 19 11 9 7 7 14 20 25 27 28 20 7 5 35 146 288 395 415 352 275 217 169 131 105 87 66 22 7 5 7 8 8 7 5 5 5 5 5 5 5 5 5 4 3 2 1 1 1 1 1 1 2 2 3 3 3 3 3 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 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 0 0 0 0 0 0
3 2 2 2 1 1 1 1 0 0 0 0 0 2 5 9 10 7 4 3 1 1 1 1 3 4 7 8 4 1 0 1 6 20 47 94 138 158 156 141 122 101 75 48 27 8 4 5 7 7 6 5 5 5 5 5 5 5 4 4 4 3 3 2 1 1 1 0 0 0 1 1 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 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 13 32 47 48 34 23 16 10 5 3 2 4 5 7 7 6 5 6 6 6 6 6 6 4 3 3 3 2 2 2 1 1 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
3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 2 5 7 5 3 1 0 1 1 2 4 5 6 5 5 5 5 6 6 7 7 7 7 5 3 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 1 1 1 1 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 1 1 1 1 2 3 3 3 3 3 3 4 5 7 8 8 8 7 6 4 2 1 1 1 1 1 1 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 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
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 1 1 2 2 2 3 3 3 2 3 3 4 5 6 7 7 6 5 4 3 2 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
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 2 3 4 4 3 3 2 3 4 4 4 5 5 4 4 3 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
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 1 1 2 2 2 2 2 2 3 3 3 3 2 2 2 1 2 2 2 2 2 1 1 1 1 1 1 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 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 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 1 1 1 1 2 3 3 3 3 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 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 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 1 1 1 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 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
2 2 2 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 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 0 0 0 1 1 1 1 1 1 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0
4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
4 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 16 3 1 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 24 41 44 15 4 0 0 0 0 0 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 26 49 56 24 8 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 5 17 34 31 17 8 6 4 5 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 1 4 8 14 15 17 17 11 2 2 6 4 2 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 8 8 8 8 6 2 0 0 2 3 2 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 1 0 1 2 4 5 5 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 1 3 7 10 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 5 6 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 1 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 1 0 1 1 1 1 1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 2 2 2 2 1 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 1 3 4 4 3 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 2 1 0 1 2 2 2 3 1 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 10 12 13 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 1 2 2 1 0 0 1 1 2 3 1 0 1 3
0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 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 1 3 3 3 5 5 3 4 5 5 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 1 1 1 1 2 1 1 1 1 2 4 9
0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 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 1 2 4 4 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 1 2 2 2 2 2 2 2 4 8 12 16
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 2 1 1 2 3 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 1 1 0 1 2 2 6 10 12 15 21 21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 13 25 29 27 31 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 22 37 47 49 50 41
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 10 16 21 34 46 54 59 55 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 16 23 29 40 51 60 66 65 51
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 18 31 45 44 46 57 69 72 72 58
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 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 1 2 4 9 16 24 27 29 35 46 62 62 61 53