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 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 8 8 8 8 8 9 10 9 9 8 8 7 8 8 8 7 7 6 5 5 5 6 5 3 2 3 7 13 14 11 9 8 8 8 7 4 1 -2 -1 4 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 nan
nan 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 6 6 6 7 6 6 5 5 5 6 6 6 7 8 9 13 15 13 10 9 8 9 8 6 2 -1 -0 6 13 14 13 11 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 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 7 7 7 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 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 6 6 5 6 6 7 7 6 6 7 7 7 8 9 9 9 8 10 11 11 10 9 9 9 8 4 0 0 7 16 19 18 14 12 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 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 9 9 8 7 7 6 6 6 7 7 8 8 7 7 6 6 6 7 8 8 8 7 7 7 8 8 9 8 7 5 4 4 8 11 11 10 10 9 8 6 4 8 16 20 20 17 14 14 13 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 8 8 8 8 7 7 7 7 9 9 9 8 8 8 8 8 8 8 8 6 5 6 9 13 14 12 11 10 10 10 11 13 18 22 22 19 16 16 17 16 14 12 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 9 8 7 6 6 7 7 8 8 9 9 8 8 8 7 8 9 9 7 7 7 8 9 9 9 8 8 7 7 10 15 17 16 13 11 11 12 12 13 16 19 20 18 16 15 16 17 16 14 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 6 6 7 9 9 9 9 8 8 7 8 10 12 12 12 11 11 11 11 11 10 10 11 12 12 11 12 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 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 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 nan
nan 9 8 8 8 7 7 7 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 9 9 10 10 10 9 8 7 8 8 8 8 8 8 7 7 6 6 7 8 10 10 10 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 7 7 9 10 10 10 10 10 10 11 11 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 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 10 9 7 6 5 6 7 7 7 7 7 6 5 5 6 8 11 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 8 9 8 8 9 11 11 10 9 9 9 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 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 11 11 10 10 10 10 10 10 11 11 11 11 11 nan
nan 9 8 8 8 8 8 8 9 9 10 10 9 7 6 6 6 7 7 7 7 8 8 9 10 10 10 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 7 5 4 4 5 6 7 7 6 6 5 5 6 7 9 11 10 9 8 8 8 8 8 8 8 9 9 8 8 7 7 8 9 10 10 11 11 11 10 9 9 10 10 10 10 10 10 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 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 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 8 7 7 7 8 10 11 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 5 4 5 6 6 6 6 6 7 7 8 9 10 10 10 9 8 8 8 8 9 9 9 9 10 10 9 9 8 8 9 9 10 10 11 11 10 10 10 9 9 9 9 10 10 9 9 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 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 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 8 9 10 10 10 9 8 9 9 11 11 11 10 10 10 11 12 11 9 8 7 6 7 8 9 8 7 6 6 7 8 8 8 7 7 7 7 6 6 7 8 7 6 6 7 8 9 10 11 11 10 9 9 8 7 7 8 9 10 11 11 10 10 10 9 9 10 11 11 10 10 11 11 11 10 9 9 8 9 9 9 9 8 9 9 9 8 9 8 8 8 8 8 9 9 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 10 10 10 10 10 10 10 9 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 11 11 12 12 12 12 11 10 9 8 7 7 8 9 9 8 7 6 6 7 8 9 8 7 7 8 8 8 9 10 9 8 6 7 8 9 9 10 10 10 9 9 9 8 8 8 10 11 12 12 11 11 10 9 9 10 13 13 12 11 10 11 11 11 10 10 9 9 9 8 8 7 7 7 7 6 7 8 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 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 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 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 9 9 10 10 10 11 11 10 9 9 10 10 10 10 9 9 8 9 9 9 9 10 11 10 8 7 7 8 8 8 8 9 9 10 11 11 11 11 12 14 14 14 12 11 10 9 9 10 12 13 12 11 10 11 12 12 11 11 11 11 10 9 8 7 6 5 4 2 3 6 7 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 7 8 8 9 9 10 11 12 12 11 10 10 11 12 12 11 10 9 9 10 11 11 10 10 10 10 9 7 7 7 8 8 9 9 9 9 10 11 12 13 13 14 15 14 13 11 11 10 10 10 11 11 11 10 9 10 12 13 13 12 12 12 12 11 10 10 8 5 2 -0 -0 4 7 8 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 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 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 9 9 9 10 9 9 9 10 11 10 8 7 7 8 8 8 9 9 9 10 10 10 10 10 10 11 10 10 9 9 10 12 12 12 11 10 9 9 8 7 7 9 9 10 10 10 10 9 9 10 11 12 12 12 12 11 10 10 11 11 12 12 12 11 10 9 9 10 12 13 13 13 13 12 11 11 11 10 8 5 2 2 5 10 12 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 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 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 9 10 10 10 10 9 9 10 9 8 7 7 8 8 8 8 8 7 6 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 10 9 8 7 7 7 9 10 11 11 11 11 10 10 9 10 11 11 10 10 8 7 8 9 11 11 12 12 13 13 12 11 11 11 12 13 13 12 12 12 12 12 12 10 9 8 8 11 16 18 21 22 21 20 19 18 17 17 16 15 14 13 12 12 12 11 11 11 11 11 11 11 11 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 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 7 7 7 8 9 9 8 7 5 5 6 6 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 10 11 12 11 11 11 10 10 10 10 10 10 10 9 7 6 6 8 10 10 10 10 11 12 13 13 13 13 13 14 14 12 11 11 12 12 12 11 10 9 10 13 17 20 21 22 22 21 22 23 24 24 24 22 20 17 14 12 12 12 11 11 11 11 11 12 12 12 12 12 12 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 7 7 6 5 5 6 7 10 12 12 11 10 10 10 9 9 9 9 10 9 9 8 6 5 7 9 11 11 10 9 10 10 11 12 13 14 16 16 14 13 12 11 11 11 9 9 8 9 10 11 13 15 15 14 12 12 13 16 19 22 23 21 18 14 12 13 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 6 5 5 6 7 9 10 10 9 7 6 6 8 10 11 11 11 10 10 10 9 9 10 10 10 11 10 10 8 7 7 9 11 11 10 9 9 10 10 10 11 12 13 14 14 13 13 12 11 10 9 8 8 8 9 9 10 10 10 9 7 5 4 3 4 6 8 9 8 5 6 10 16 19 16 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 7 7 9 11 13 13 11 10 9 9 11 12 12 11 10 10 10 10 10 10 10 11 11 12 12 11 10 9 9 10 11 12 11 10 9 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 10 10 10 10 9 10 10 9 6 3 1 -0 -2 -4 -3 2 9 15 15 12 11 11 12 13 13 12 12 13 13 13 13 13 14 14 15 15 15 15 15 15 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 10 10 10 10 11 11 11 11 10 9 9 10 11 12 12 12 11 11 11 13 14 14 12 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 11 11 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 11 11 12 13 15 16 17 16 14 11 9 7 5 8 12 16 16 12 11 13 14 15 14 14 14 13 13 13 13 14 15 17 18 17 16 16 16 15 15 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 10 11 11 10 10 10 10 10 11 10 9 8 8 9 10 11 12 11 11 11 11 13 14 13 12 11 10 10 10 10 10 11 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 9 11 12 13 14 15 16 18 20 22 23 22 22 23 26 28 29 25 22 21 22 23 22 20 18 17 15 15 15 16 19 23 25 23 20 17 16 15 15 15 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 10 9 8 6 4 3 3 3 4 6 7 8 9 8 9 10 10 10 10 9 8 7 7 8 9 11 12 12 11 10 10 11 11 11 11 11 10 10 10 10 11 12 12 13 13 13 12 11 10 9 8 8 8 8 8 7 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 11 11 12 12 12 12 14 16 19 22 24 25 27 30 31 30 28 28 28 28 28 28 27 25 22 20 19 20 21 24 27 26 22 18 16 15 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 9 10 10 10 10 10 10 8 7 5 3 1 0 0 1 1 2 2 3 3 4 5 8 10 10 10 9 8 6 6 7 9 11 13 13 12 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 14 13 13 11 10 9 8 8 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 10 10 10 10 11 11 11 11 11 12 13 15 17 18 19 20 20 19 19 20 22 23 25 26 27 26 25 26 27 27 25 24 22 19 17 16 17 17 16 16 15 14 14 13 13 12 12 12 12 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 nan
nan 10 11 11 11 10 9 7 5 3 2 2 2 2 3 4 4 3 2 2 2 2 4 6 8 8 7 7 6 6 7 8 10 12 12 12 11 10 9 9 9 10 10 10 11 11 12 12 13 13 13 13 13 12 11 9 8 7 7 6 5 5 5 5 6 6 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 11 11 10 10 11 11 11 11 11 10 11 11 12 12 11 11 10 11 11 12 13 15 16 17 18 20 23 26 28 28 26 23 20 17 18 20 22 22 21 18 15 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 10 9 7 4 3 3 4 5 6 8 8 9 8 8 7 6 6 5 6 5 4 2 2 2 3 5 7 9 10 10 9 8 8 8 8 9 10 10 11 11 12 12 13 13 13 13 12 12 11 10 8 7 6 6 5 4 3 4 4 4 4 6 8 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 14 17 19 21 22 23 23 23 21 19 19 18 18 15 13 10 9 9 8 8 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 12 12 12 nan
nan 11 11 11 10 8 6 5 6 7 9 10 11 11 12 11 11 10 10 10 9 9 8 6 3 -0 -1 -0 1 3 6 8 8 7 6 6 6 6 7 9 10 10 10 11 12 13 12 12 12 11 11 11 10 9 7 5 4 4 3 3 3 4 4 4 5 8 10 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 13 14 14 12 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 15 17 19 19 15 9 4 1 1 2 2 3 5 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 nan
nan 11 11 10 9 8 8 10 11 13 14 15 15 15 14 13 11 10 10 10 10 10 9 8 6 4 3 3 2 3 4 4 4 4 6 7 8 8 8 9 8 8 9 10 11 11 11 11 10 11 11 10 9 7 5 3 2 1 2 3 4 5 6 8 10 13 13 11 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 12 13 12 10 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 10 4 -2 -6 -7 -6 -3 -1 3 5 7 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 nan
nan 10 10 10 10 10 11 12 14 16 16 17 17 16 15 12 11 10 10 10 10 10 10 10 9 9 9 8 6 5 4 3 2 4 6 8 9 9 8 8 7 7 8 9 9 9 10 10 10 11 10 9 8 5 4 3 2 3 4 5 6 8 11 13 14 14 13 10 8 8 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 10 11 10 9 10 10 10 9 8 7 7 8 8 9 10 11 11 11 10 10 10 11 11 11 12 12 11 11 10 10 8 3 -3 -5 -5 -2 1 2 4 6 8 9 9 10 10 10 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 9 9 10 10 11 11 12 13 14 14 14 13 12 11 11 11 12 12 11 11 11 11 11 10 10 10 10 9 8 7 6 5 6 6 5 4 3 4 5 6 8 9 9 8 9 9 10 10 10 9 7 5 4 4 6 7 8 8 8 9 11 13 14 14 12 11 9 8 8 8 9 9 9 9 9 9 10 9 8 8 8 8 8 8 8 8 9 9 9 9 10 11 10 9 8 7 8 8 9 9 10 11 11 11 11 11 11 10 10 11 11 11 10 9 8 5 1 -5 -7 -5 -1 4 6 7 8 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 9 9 10 10 11 11 11 11 11 10 8 6 6 7 9 11 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 8 6 3 1 -1 1 3 5 8 9 8 8 9 9 9 9 8 7 6 5 6 7 9 10 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 8 8 7 8 8 7 6 6 6 7 7 7 7 8 8 9 8 8 9 9 9 9 9 9 9 10 9 9 10 11 12 12 11 11 11 10 10 10 11 11 10 9 7 4 -1 -6 -8 -7 -2 4 7 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 nan
nan 9 9 10 10 10 10 10 10 8 6 3 2 3 6 9 11 12 12 12 13 12 11 11 10 10 9 9 9 9 9 10 10 10 8 7 5 4 3 4 5 6 6 7 8 9 8 7 6 5 5 4 5 6 7 7 6 5 5 7 8 9 8 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 7 8 9 8 8 7 7 8 8 8 7 7 7 7 8 9 10 10 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 10 10 9 8 4 -0 -3 -1 2 6 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 7 4 3 5 8 10 12 12 11 11 12 12 12 11 12 11 11 10 11 11 11 12 13 13 13 12 11 10 9 9 8 8 6 5 6 7 7 7 6 4 4 3 3 4 4 4 4 3 4 6 8 9 8 7 7 7 6 6 5 6 6 7 9 10 11 12 12 10 10 11 12 12 11 10 10 9 7 7 6 6 6 6 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 9 9 10 11 12 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 9 9 9 9 9 9 9 8 7 7 8 11 13 14 14 12 11 11 11 11 11 12 13 13 13 14 14 15 15 17 18 18 16 14 13 13 12 12 12 11 9 7 6 5 5 6 6 6 5 4 4 5 5 5 6 7 10 12 12 12 10 8 8 8 7 6 5 5 6 8 11 13 14 14 11 10 9 10 10 11 10 10 9 7 5 4 4 5 6 6 7 9 10 11 11 12 11 11 11 11 11 12 11 10 10 9 9 9 10 10 10 10 10 11 13 17 19 17 15 12 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 9 9 9 8 8 9 9 8 8 9 10 13 14 13 12 11 11 11 10 9 9 11 12 13 14 15 16 16 18 19 19 17 16 15 15 16 16 17 17 16 14 12 9 7 7 8 9 9 8 8 8 8 8 9 11 12 14 14 12 11 9 9 8 8 8 8 8 8 9 11 13 13 12 10 8 8 7 7 7 7 7 7 5 4 3 4 5 7 7 7 8 10 11 12 12 12 11 11 11 11 11 12 11 11 10 9 9 10 10 10 10 10 11 12 14 16 14 10 8 6 7 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 nan
nan 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 13 13 14 15 15 14 13 13 15 18 19 20 21 21 21 19 17 16 15 15 15 13 12 11 10 10 10 10 11 12 12 11 10 8 7 7 8 8 8 9 9 9 10 11 12 11 10 7 7 7 8 8 7 7 6 6 5 4 4 5 7 9 10 10 10 11 12 12 13 13 12 11 11 10 10 11 11 10 10 10 9 10 10 10 10 10 10 11 12 13 10 5 3 2 3 7 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 8 8 7 7 8 8 8 7 6 6 6 7 7 8 8 9 9 9 10 10 11 11 11 11 10 11 12 15 17 18 19 20 21 20 20 19 20 21 22 20 16 13 11 11 10 11 11 10 10 9 8 6 6 6 6 7 8 8 9 9 10 11 11 11 10 8 7 8 9 9 9 9 8 8 6 6 7 9 11 13 13 12 12 13 14 14 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 11 10 7 5 4 5 8 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 nan
nan 10 10 10 10 9 9 8 8 8 8 8 8 7 5 3 3 4 6 7 8 8 9 9 9 10 10 10 10 10 10 10 11 13 14 14 15 15 16 15 15 14 15 16 18 17 15 13 11 10 10 10 10 10 10 10 9 8 7 6 6 7 7 8 8 9 9 10 11 12 13 13 11 11 11 11 10 10 10 10 11 11 12 14 16 17 17 15 14 14 14 14 13 13 12 11 10 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 9 9 10 11 12 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 14 13 13 13 13 13 12 nan
nan 10 10 10 9 9 8 8 8 9 9 9 8 6 2 1 2 4 6 7 7 8 9 10 10 10 10 10 10 11 11 12 13 14 14 13 13 13 11 9 7 6 6 8 9 9 9 9 9 9 9 10 10 10 9 9 8 6 4 3 3 4 5 6 7 9 10 11 12 13 15 16 16 15 14 13 12 11 12 13 15 16 17 18 18 18 17 16 15 14 13 13 13 13 12 10 9 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 11 13 14 15 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 14 14 14 14 13 13 nan
nan 10 10 10 9 9 9 9 10 9 9 8 7 4 2 2 3 5 6 6 7 9 10 10 10 10 10 10 12 13 14 15 15 14 13 12 11 10 7 4 1 -1 0 2 4 4 5 5 5 6 6 7 8 7 5 3 -1 -4 -5 -5 -4 -2 -1 1 3 6 9 11 14 15 16 16 16 16 15 14 14 14 15 16 16 16 16 15 14 14 14 13 13 12 11 11 12 12 11 10 10 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 12 12 13 14 15 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 13 13 13 13 14 14 14 14 14 13 13 nan
nan 10 10 10 9 9 9 9 9 8 8 8 6 4 3 4 5 6 7 7 9 10 11 10 10 10 11 12 14 15 16 15 13 11 10 10 10 7 5 3 2 2 4 4 4 4 4 2 1 1 1 2 1 -1 -3 -5 -7 -8 -8 -7 -5 -5 -5 -5 -3 1 4 8 11 13 13 13 13 14 14 14 14 14 15 15 15 14 12 11 11 10 10 10 9 10 10 10 11 11 11 11 10 10 10 10 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 12 14 15 15 15 13 12 12 13 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 nan
nan 10 9 8 8 8 8 8 8 8 8 8 6 4 4 4 6 7 8 9 10 12 11 11 11 12 13 15 15 15 14 12 9 8 8 9 9 9 9 9 10 12 12 11 9 8 6 4 3 2 1 0 -2 -4 -5 -5 -3 -1 1 3 3 2 1 0 -0 1 2 2 3 5 8 11 12 11 11 11 11 12 12 12 12 11 10 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 10 9 9 9 9 10 10 10 10 10 10 13 15 15 16 16 15 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 15 nan
nan 7 6 4 4 5 6 7 7 8 9 9 6 5 4 5 7 8 8 9 10 13 13 13 13 14 15 16 15 12 10 7 6 6 7 9 10 12 14 15 16 17 16 15 14 12 10 9 8 7 6 5 4 3 3 5 7 9 10 11 11 11 11 11 10 8 5 3 3 5 9 12 12 11 10 9 9 10 11 11 11 10 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 12 13 14 14 16 16 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 12 13 15 20 nan
nan 4 2 1 2 4 6 8 9 10 10 9 6 4 4 5 7 7 8 9 12 15 16 16 16 16 16 14 12 9 7 6 6 7 9 10 11 12 13 14 15 16 16 16 16 15 14 12 11 11 11 11 11 11 11 12 13 14 14 15 16 17 18 18 17 14 12 11 11 14 15 14 11 10 9 9 9 10 11 11 11 10 9 9 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 12 14 15 16 16 18 18 19 19 18 16 15 14 15 14 14 14 13 13 14 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 14 18 23 28 nan
nan 4 2 3 4 5 8 9 10 10 10 8 5 4 4 6 7 7 8 9 13 17 17 17 17 16 14 12 10 8 8 8 9 10 11 11 11 12 12 11 12 13 14 15 16 16 17 16 16 17 18 18 17 16 16 16 16 17 19 20 22 23 23 21 18 17 16 16 16 16 15 12 9 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 11 12 12 13 13 12 12 12 12 13 15 16 19 23 26 26 25 23 21 19 19 18 16 15 15 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 16 22 28 30 nan
nan 6 7 7 8 8 10 10 10 9 8 5 3 2 4 6 7 7 7 9 13 16 17 18 16 14 12 10 9 9 10 10 10 10 11 11 12 12 11 11 11 11 11 12 14 16 17 18 20 22 23 23 22 21 21 21 23 25 27 28 29 28 25 21 18 16 15 16 16 16 14 11 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 9 9 9 10 10 11 12 12 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 11 12 13 13 13 13 13 12 12 12 12 13 15 19 24 27 27 26 26 27 27 26 22 19 16 15 15 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 13 16 20 23 23 nan
nan 8 9 10 10 10 11 10 8 7 4 2 1 3 5 6 7 7 7 9 13 16 17 16 14 11 10 9 9 9 10 10 10 11 12 12 12 12 12 11 10 9 9 9 11 12 13 15 17 19 20 21 21 22 23 25 27 30 30 29 28 25 21 18 17 16 16 17 19 21 20 17 14 12 12 14 14 13 12 11 11 11 11 10 10 10 9 9 8 9 10 10 11 12 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 12 13 13 12 12 12 12 12 11 11 11 10 11 13 15 18 19 20 22 24 27 29 27 23 19 17 15 14 14 14 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 12 13 15 16 16 nan
nan 9 10 10 11 12 12 11 9 6 4 3 4 5 6 6 6 6 7 9 12 13 14 13 11 10 10 9 9 9 9 10 10 11 11 12 11 10 10 9 9 8 7 8 8 9 9 11 12 14 15 16 16 18 20 22 24 24 23 21 20 18 17 17 18 19 21 24 27 27 23 20 17 15 15 14 13 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 9 9 10 11 11 11 11 10 9 9 8 9 9 10 11 12 13 12 11 11 11 11 10 10 10 10 10 10 11 12 12 12 14 16 18 19 20 21 20 18 17 16 15 17 18 19 20 19 18 17 16 15 15 14 14 14 13 13 13 13 12 12 12 12 12 12 12 nan
nan 9 10 11 13 14 14 12 10 8 7 6 6 7 6 6 6 6 7 8 8 9 10 11 11 11 11 9 9 10 10 10 10 10 10 9 8 9 8 7 5 4 5 6 8 9 10 11 12 13 13 13 14 15 16 17 17 16 15 14 14 14 15 16 19 22 25 27 27 24 20 17 16 15 14 13 11 10 10 10 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 9 10 11 12 12 11 10 9 9 9 9 10 10 11 12 12 11 10 9 9 8 7 8 9 10 10 11 11 11 11 11 12 12 12 13 14 16 16 18 19 21 23 26 27 28 27 25 21 19 17 16 15 15 14 14 14 14 13 13 12 13 12 11 9 9 10 nan
nan 11 12 13 14 14 13 10 8 8 7 7 6 6 6 6 6 6 7 7 7 8 10 12 14 13 12 10 10 10 10 10 9 7 6 5 7 8 7 5 4 3 5 7 9 11 12 13 14 15 14 14 14 15 16 16 16 14 14 14 13 13 14 15 17 20 22 22 21 18 15 14 13 13 12 10 9 9 9 9 10 11 11 10 10 10 10 9 9 9 8 8 8 7 8 9 10 11 12 12 12 11 10 9 9 10 10 11 11 11 11 10 9 8 6 6 7 8 9 11 11 11 11 11 11 11 11 11 11 11 12 13 14 18 22 27 32 33 33 32 29 26 22 21 20 19 18 17 16 15 15 15 14 14 13 13 11 8 5 3 5 nan
nan 12 12 13 13 12 10 7 5 5 5 5 6 6 6 6 6 7 7 7 8 9 11 13 15 14 12 11 11 10 9 7 4 1 0 2 6 8 8 7 7 9 11 13 14 14 15 15 16 16 16 16 16 17 17 16 15 14 14 14 14 14 14 14 15 16 17 17 15 13 12 12 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 11 12 12 11 11 10 9 9 10 10 11 11 11 10 10 9 7 6 7 8 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 13 16 20 24 26 27 27 25 24 24 25 27 27 26 25 22 20 19 18 16 15 15 14 13 12 8 4 1 1 nan
nan 11 11 10 10 9 6 3 2 3 4 5 5 6 6 6 6 7 7 8 8 9 11 14 15 15 14 12 9 7 5 2 -1 -3 -2 4 9 11 11 11 12 16 18 19 19 18 17 17 17 17 16 16 16 15 14 14 13 13 13 13 13 13 13 14 14 15 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 10 11 11 11 10 9 9 8 9 9 10 10 11 11 11 10 10 9 8 9 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 11 13 14 16 16 16 16 16 18 22 26 29 30 30 30 29 27 25 22 20 18 16 15 14 14 11 7 2 -0 nan
nan 10 9 9 9 7 4 1 0 1 3 5 5 5 6 6 7 7 8 8 9 10 12 15 17 19 16 11 7 3 2 0 -0 1 6 12 15 15 15 15 16 19 20 21 20 19 18 17 16 15 14 14 13 12 12 11 11 11 12 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 11 12 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 6 5 6 7 9 10 9 9 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 14 17 19 21 23 25 27 29 30 29 27 24 21 18 16 15 15 13 10 5 0 nan
nan 9 9 8 7 6 3 -0 -1 0 3 5 5 5 6 6 7 8 9 10 10 11 13 17 21 22 16 9 4 2 2 3 5 9 14 18 18 19 17 17 17 18 18 17 17 16 16 15 14 13 12 12 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 11 11 11 10 10 9 8 7 6 5 5 5 6 6 5 4 3 3 4 5 7 7 8 8 8 8 8 9 10 10 11 10 10 10 9 9 9 8 8 7 7 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 14 15 17 19 23 26 28 27 24 21 17 16 15 14 13 12 8 3 nan
nan 9 8 7 6 5 2 -1 -1 1 3 4 5 5 6 7 8 9 10 11 11 13 17 21 24 20 12 5 2 4 7 9 9 11 14 16 18 19 18 17 16 15 14 14 14 14 13 13 12 11 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 9 8 8 9 10 10 9 8 7 7 6 6 5 4 4 4 4 4 4 2 3 4 4 5 6 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 7 7 8 8 8 9 9 9 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 14 16 19 20 20 18 17 16 17 17 16 16 15 13 8 nan
nan 8 8 8 8 7 3 -0 -0 1 3 4 5 7 8 9 10 11 12 12 14 17 22 26 25 16 8 4 4 8 10 10 10 11 13 17 20 21 18 16 14 13 13 13 12 12 12 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 7 7 7 7 8 7 7 6 6 6 7 7 7 7 6 5 3 2 2 2 3 5 7 8 9 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 14 16 19 23 25 26 25 24 22 19 16 nan
nan 8 8 8 8 6 2 -1 -1 1 4 6 7 9 10 11 12 12 13 13 16 21 24 26 18 9 5 5 8 10 10 10 10 12 16 21 25 23 19 16 14 13 13 12 12 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 7 8 7 7 7 7 8 9 10 10 10 10 8 6 4 4 4 5 6 8 9 11 12 12 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 15 20 26 30 32 33 33 33 31 28 26 nan
nan 7 6 4 3 -1 -5 -5 -3 1 6 8 10 11 12 12 13 13 14 15 18 20 21 16 8 4 4 7 10 10 10 10 11 15 21 25 26 21 17 14 13 13 13 12 12 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 8 10 10 11 11 12 11 11 11 12 12 12 12 11 10 9 9 9 10 10 11 12 12 12 10 9 9 10 10 10 10 10 9 8 8 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 13 16 20 24 26 26 28 30 31 33 34 33 nan
nan 3 0 -2 -5 -7 -7 -4 0 5 9 11 12 12 13 14 14 16 17 18 19 18 15 9 5 5 7 9 10 10 10 11 15 22 26 28 25 20 15 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 7 9 10 10 12 13 14 14 15 15 15 14 13 12 12 12 13 13 14 14 14 14 14 14 14 14 14 13 12 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 12 12 11 11 12 13 14 14 14 15 15 17 19 21 25 29 31 nan
nan -2 -4 -5 -5 -3 -0 3 7 10 12 12 13 14 14 16 19 21 23 22 20 18 14 10 9 9 10 10 10 11 13 17 24 29 30 27 22 17 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 6 6 8 10 12 14 14 15 16 17 17 16 16 16 15 14 13 13 13 14 15 15 15 15 15 15 15 16 16 16 16 15 14 13 11 10 9 9 9 9 10 10 11 11 11 10 10 10 9 9 10 10 9 9 8 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 11 12 14 16 19 21 nan
nan -4 -3 -1 2 5 8 10 11 12 13 14 15 17 19 22 26 28 27 24 22 19 15 12 11 10 10 10 11 14 19 25 30 30 27 21 15 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 9 11 12 15 16 16 16 16 16 17 17 16 16 15 14 14 14 15 15 16 16 17 16 15 15 14 15 15 15 15 16 15 15 14 11 9 7 6 7 8 10 11 13 13 11 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 10 10 11 11 11 12 12 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 12 13 13 nan
nan 2 5 8 10 12 13 13 13 15 17 19 21 23 26 28 30 28 23 19 16 13 10 9 9 10 11 12 15 20 26 29 28 24 18 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 10 11 13 15 15 15 14 14 13 13 14 14 14 15 15 14 14 15 16 16 17 17 17 17 16 16 15 14 14 13 14 14 14 14 14 14 12 10 8 7 7 8 9 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 nan
nan 12 14 17 19 19 17 16 17 20 23 24 24 25 25 24 21 16 12 9 7 5 4 6 10 13 15 18 21 26 28 26 22 16 12 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 11 12 14 14 14 13 12 11 11 11 11 11 12 12 12 13 13 14 14 14 14 15 15 15 15 15 15 15 15 14 13 13 13 13 14 14 14 13 13 12 11 10 10 9 9 9 10 10 11 10 10 9 9 9 8 8 9 9 10 10 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 nan
nan 20 21 22 21 18 15 14 16 18 19 18 16 16 14 10 7 5 5 7 8 8 11 15 18 20 21 24 26 27 25 20 15 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 12 12 12 13 13 14 14 14 14 13 13 13 14 14 14 14 14 14 14 14 12 11 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 11 11 11 12 12 12 12 nan
nan 21 20 18 13 8 5 7 10 13 12 10 10 10 9 7 8 11 15 17 17 18 21 22 23 23 24 24 24 22 18 14 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 14 14 14 15 15 15 15 14 14 13 12 11 11 11 11 11 11 10 10 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 nan
nan 15 13 9 7 5 6 10 15 18 18 18 18 18 17 18 20 23 25 24 20 19 19 19 19 19 19 18 17 14 12 11 10 10 10 10 9 7 6 6 7 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 11 11 11 12 13 15 15 16 16 16 15 15 14 14 13 13 13 13 13 13 12 11 10 10 10 10 10 9 10 10 9 9 9 9 9 9 9 10 11 11 12 12 12 11 10 9 9 9 10 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 nan
nan 10 9 10 11 14 17 21 24 25 25 24 24 23 23 24 24 24 22 18 15 14 13 13 13 13 13 12 11 11 10 11 11 10 10 9 8 6 5 6 8 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 10 10 10 9 9 10 10 10 11 12 14 15 16 16 16 16 15 15 15 14 14 14 14 14 13 12 10 10 10 10 10 9 8 8 9 9 10 10 9 9 9 9 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 10 11 14 16 18 20 22 23 23 22 20 18 18 18 18 17 15 13 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 9 9 10 12 14 15 14 13 12 11 11 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 12 13 14 14 14 14 15 15 15 15 15 14 13 12 11 11 10 10 10 10 9 8 6 6 7 8 9 10 10 10 9 9 9 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 11 nan
nan 11 12 13 14 15 15 16 16 15 14 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 14 16 17 15 14 12 11 11 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 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 13 14 15 15 15 14 13 12 10 9 9 9 9 10 10 8 7 6 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 9 8 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 12 12 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 11 12 13 14 14 13 13 13 12 11 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 9 9 10 11 12 12 12 12 12 12 12 11 11 12 12 12 12 13 13 nan
nan 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 12 12 12 12 12 13 14 14 13 12 11 11 11 11 11 12 13 14 14 13 12 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 10 9 9 10 12 12 13 12 11 11 11 12 11 11 11 11 12 12 13 13 13 nan
nan 12 12 12 12 12 12 12 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 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 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 12 13 14 13 13 14 14 15 16 16 16 17 18 19 17 14 12 11 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 10 9 10 11 12 12 11 11 11 11 12 11 11 11 11 11 11 12 13 13 14 nan
nan 12 12 12 12 12 12 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 10 10 10 10 10 10 11 11 12 13 14 15 17 18 19 19 20 21 22 21 17 16 14 12 12 11 11 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 10 10 11 12 12 12 12 11 11 11 11 11 11 12 13 13 nan
nan 12 12 12 12 12 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 10 10 10 10 11 11 12 13 14 14 15 16 17 18 19 21 21 20 20 17 13 12 11 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 11 10 10 11 12 12 13 13 12 11 11 10 10 10 11 12 12 12 nan
nan 12 12 12 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 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 15 17 19 20 20 16 13 11 9 8 9 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 12 13 13 13 13 13 12 12 11 10 10 10 10 11 11 11 nan
nan 12 12 11 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 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 9 11 11 11 11 10 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 12 11 11 10 12 13 15 18 18 16 14 11 7 5 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 14 13 13 13 12 12 11 10 10 10 10 10 10 10 10 nan
nan 11 11 11 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 10 10 10 10 10 10 9 9 8 9 10 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 10 9 6 4 4 6 9 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 10 10 9 9 10 11 16 17 17 16 12 7 6 6 6 7 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 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 9 8 7 8 10 11 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 10 8 5 5 7 11 13 13 11 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 9 9 8 8 10 13 14 15 15 13 11 11 9 7 8 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 nan
nan 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 10 10 10 10 10 10 10 10 10 10 9 9 7 8 10 12 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 9 9 11 14 17 16 14 11 10 10 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 10 9 8 8 8 9 11 10 10 11 11 12 13 12 10 9 9 10 10 11 10 10 9 9 10 10 11 12 12 12 13 13 13 13 12 12 12 11 12 12 12 12 12 12 11 11 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 8 8 10 13 14 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 15 16 17 14 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 11 10 9 9 9 9 10 10 8 8 9 9 9 10 10 9 9 10 9 10 10 9 9 9 9 10 11 12 13 13 13 13 13 13 12 12 12 11 11 12 12 12 12 12 12 11 11 10 10 10 10 9 nan
nan 11 11 11 11 11 11 11 11 11 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 9 9 11 13 14 15 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 12 13 13 12 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 10 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 7 nan
nan 11 11 11 11 11 11 11 11 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 11 13 13 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 12 12 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 9 9 9 9 7 6 7 8 7 7 7 8 8 8 8 8 8 10 11 13 13 13 13 12 11 11 10 10 10 10 10 11 11 12 12 13 13 12 12 11 10 9 8 7 5 2 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 10 10 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 12 12 11 11 11 11 11 11 10 10 9 9 9 10 10 11 10 9 9 10 9 9 9 9 10 11 12 11 11 11 12 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 12 12 13 13 12 12 11 11 10 9 8 6 4 nan
nan 11 11 11 11 11 11 11 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 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 11 11 11 11 12 12 13 14 16 18 18 17 15 14 13 12 12 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 13 14 14 15 15 17 nan
nan 11 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 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 11 12 12 12 12 12 13 13 13 14 15 17 19 21 22 20 17 12 9 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 14 16 18 20 22 24 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 8 6 6 7 8 8 8 8 9 10 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 10 9 6 5 5 6 8 10 11 11 12 13 14 14 13 13 13 13 13 13 13 13 15 18 20 20 18 14 8 4 2 1 2 4 6 8 9 10 11 11 11 10 10 10 10 11 11 11 11 12 12 13 14 15 17 18 20 nan
nan 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 10 11 11 10 10 11 10 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 9 6 5 5 6 7 6 5 6 8 11 11 11 10 10 10 11 10 10 10 9 9 10 10 10 10 10 9 7 3 -1 -1 1 6 11 13 14 14 14 15 15 14 13 13 12 11 11 11 10 11 12 13 14 15 15 13 10 7 5 3 3 4 5 6 7 8 9 10 10 9 10 10 12 12 12 12 12 11 11 11 12 12 12 13 14 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 9 7 5 5 6 7 7 7 8 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 9 8 8 10 10 8 6 6 9 12 13 12 11 11 10 10 10 10 9 9 9 9 9 10 10 11 9 7 3 -1 -1 3 9 16 18 17 16 15 15 15 14 13 12 12 10 10 9 9 9 9 10 11 11 12 14 15 15 13 11 9 8 6 5 3 3 4 6 8 9 11 12 13 14 14 14 13 12 12 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 6 4 2 3 6 8 8 8 9 9 11 11 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 14 15 15 14 13 15 17 17 15 13 11 11 10 10 10 9 9 9 9 9 10 10 11 10 9 7 5 6 11 17 24 25 22 18 15 14 13 13 12 11 11 10 9 9 8 9 10 10 10 10 11 12 13 14 15 15 15 14 12 9 6 3 3 3 4 6 8 10 11 13 14 14 14 12 12 11 11 11 11 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 11 9 7 7 9 13 15 16 15 14 14 13 14 13 13 12 11 11 11 12 12 12 12 12 12 12 12 12 11 12 11 11 10 10 10 9 10 10 10 11 11 11 11 12 13 14 16 16 16 18 19 20 17 14 12 11 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 11 16 21 26 27 23 19 15 13 13 12 12 11 11 10 10 9 9 9 10 10 9 9 10 10 11 12 13 14 15 15 15 14 12 10 9 8 8 7 6 5 5 6 8 9 10 10 11 11 11 11 10 10 9 9 9 9 nan
nan 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 11 10 11 13 18 21 22 20 19 17 16 15 14 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 12 11 12 12 12 13 13 14 15 16 15 13 12 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 12 13 16 19 21 21 19 16 14 13 12 12 12 12 11 11 10 10 10 11 11 10 9 9 9 10 11 11 12 12 13 14 14 14 14 15 16 17 17 16 13 10 7 5 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 18 18 17 16 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 13 14 15 16 16 15 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 10 11 12 12 12 11 11 11 11 11 12 15 19 22 24 24 22 19 16 14 12 11 9 7 6 6 5 4 5 6 8 8 8 8 8 9 nan
nan 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 13 13 12 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 12 13 13 11 10 8 7 7 9 13 17 22 25 26 25 23 21 21 21 20 19 18 16 14 11 7 3 2 2 3 4 5 5 6 6 nan
nan 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 11 12 11 11 11 11 11 12 12 12 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 9 7 5 5 7 11 15 18 20 21 21 21 21 22 24 25 25 26 26 25 23 18 12 6 3 1 0 1 1 2 2 3 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 9 7 6 7 8 11 15 17 18 17 16 15 16 17 19 22 23 25 26 27 26 23 19 14 10 7 6 4 4 4 4 3 3 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1 4 11 15 20 24 28 32 36 41 45 50 53 58 62 65 67 70 73 75 76 78 79 79 79 80 81 85 88 91 95 99 109 119 130 141 147 151 157 164 171 175 181 186 188 197 213 224 232 239 254 265 261 246 224 208 195 194 206 224 234 239 244 249 248 241 235 233 233 235 235 232 230 227 223 217 211 209 208 204 195 198 205
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 6 15 19 24 28 32 35 39 44 49 53 56 59 63 66 68 69 71 72 73 73 72 73 75 77 80 83 85 88 93 97 102 108 117 132 141 147 151 158 168 170 171 171 174 182 196 209 227 237 239 240 233 220 208 199 195 195 203 222 235 242 247 249 235 228 230 234 236 236 237 236 235 233 231 225 221 219 216 211 206 207 212
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 1 1 4 9 14 20 23 26 30 33 37 41 46 51 54 57 59 61 63 64 65 66 67 68 68 68 70 71 73 77 80 82 86 91 96 98 100 104 116 131 140 146 151 159 163 160 160 170 181 187 197 215 229 227 226 218 211 208 211 219 215 219 230 240 244 249 247 237 232 236 242 244 243 242 243 245 247 244 238 235 235 233 231 230 227 226
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 1 1 1 2 6 15 20 19 22 28 31 35 39 43 47 50 53 56 57 59 60 60 61 61 62 63 65 66 66 67 69 73 76 78 83 87 90 94 98 100 106 119 134 142 145 149 153 154 156 167 177 186 194 203 209 215 227 224 216 213 217 233 238 241 243 246 252 259 245 234 234 241 246 249 248 248 248 249 248 245 244 245 248 250 252 252 246 242
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 1 1 1 1 1 2 5 13 20 24 19 16 27 32 36 40 44 46 48 50 52 53 54 55 56 57 57 57 58 60 62 63 63 65 67 70 73 77 80 83 87 92 94 101 113 125 132 139 144 148 153 159 167 179 185 189 195 204 219 230 230 223 216 215 223 233 240 244 241 234 227 227 232 237 242 246 250 251 252 252 251 250 248 248 250 253 258 264 265 259 255
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 5 8 6 2 1 1 1 2 4 12 19 23 24 19 12 21 31 36 39 42 44 45 46 46 47 48 50 52 53 53 53 55 58 58 58 58 58 60 64 69 72 75 76 79 83 85 93 109 118 125 134 142 147 150 156 165 175 181 184 190 196 208 218 222 219 215 213 217 225 235 231 224 218 218 223 230 236 239 243 247 249 252 252 254 254 249 251 252 255 258 262 261 259 259
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 5 5 2 1 1 2 2 2 4 10 18 18 15 13 10 16 23 30 36 40 41 41 41 41 43 45 46 47 47 47 47 48 48 50 52 52 52 53 57 62 66 69 70 72 77 88 101 109 117 126 135 143 150 155 160 166 173 180 187 192 194 198 206 211 209 208 210 214 218 222 213 207 208 212 219 222 226 231 236 241 243 246 250 254 258 252 251 253 255 255 253 250 249 250
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 4 7 8 8 10 12 13 14 14 17 27 36 36 36 35 36 38 39 40 41 41 41 41 42 42 44 45 47 48 49 51 55 60 63 66 70 79 92 99 108 119 129 139 147 155 158 159 163 170 177 187 191 191 192 196 200 202 203 205 208 203 199 195 195 198 202 204 206 211 221 228 231 235 240 246 251 251 248 247 246 244 244 244 243 242 240
0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 0 1 1 0 0 0 1 1 2 1 1 1 2 2 2 3 3 4 7 9 10 12 14 15 14 13 12 16 27 30 29 30 32 32 32 34 35 35 35 36 36 38 40 42 45 47 48 49 51 54 60 66 75 86 97 106 112 118 127 134 141 148 151 151 156 161 165 170 173 177 179 182 186 190 194 198 204 190 182 182 184 188 189 189 190 193 204 211 216 221 227 233 237 238 235 232 231 229 230 232 235 237 238
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 1 2 2 0 0 0 0 0 0 1 1 2 3 2 2 3 3 3 4 5 6 7 9 10 12 13 15 15 14 12 9 7 16 23 25 27 29 29 29 30 31 31 30 31 32 33 35 39 43 46 48 49 50 51 59 70 79 87 94 102 109 113 117 121 128 134 136 139 144 148 151 152 152 154 157 160 165 170 175 184 181 176 172 173 177 175 176 179 179 182 187 190 194 198 207 211 214 217 219 214 214 214 214 217 222 228 234
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 1 2 2 0 0 0 0 0 0 1 3 4 3 3 4 4 5 6 6 8 10 12 13 13 15 17 17 15 13 10 8 5 9 17 23 24 26 27 28 29 30 30 29 29 29 30 32 36 39 43 46 48 50 55 62 70 77 83 91 98 103 105 107 109 113 115 118 121 126 131 134 137 139 138 139 143 148 152 154 163 168 163 157 161 165 169 174 178 174 174 176 179 183 183 187 188 190 193 198 200 201 203 206 209 212 216 222
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 2 1 1 1 0 0 0 0 2 3 4 3 5 6 6 7 8 9 11 13 14 16 16 17 18 17 14 10 7 7 6 7 11 19 21 23 25 26 27 28 29 30 30 30 30 33 36 39 42 46 45 51 58 65 68 73 78 84 89 93 95 96 98 99 101 104 107 111 115 119 124 123 124 127 133 139 141 143 149 154 145 141 144 150 160 168 170 169 171 174 175 177 176 175 175 180 185 188 189 191 194 196 197 201 204 208
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 4 5 5 6 7 8 8 9 11 13 14 14 15 17 16 15 15 13 10 8 8 7 6 4 4 13 19 22 23 25 26 27 29 29 29 28 31 34 37 39 39 43 43 46 52 62 64 68 72 75 78 82 83 84 87 88 90 93 98 103 107 111 115 116 119 122 130 137 139 142 147 156 143 137 136 139 144 151 156 160 166 171 172 172 173 175 183 181 179 178 180 185 189 191 191 192 195 200
0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 1 1 1 3 4 5 7 8 9 10 10 11 13 15 16 16 15 15 14 13 13 12 10 10 8 7 6 5 3 3 9 15 20 22 25 27 27 29 30 28 29 31 33 35 37 37 39 40 41 41 51 56 59 63 68 68 70 72 76 80 81 83 89 93 98 101 104 107 113 119 123 132 138 142 146 153 154 146 140 138 136 139 143 147 149 151 157 161 165 167 171 174 171 169 170 172 178 183 187 189 188 191 196
0 0 0 0 0 0 0 0 0 0 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 3 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 2 2 2 2 1 1 3 4 6 7 10 12 12 12 12 14 16 17 17 14 12 10 10 10 10 9 8 8 7 6 4 5 3 3 6 12 19 22 24 26 27 28 30 29 29 29 31 33 34 35 36 36 36 35 40 45 48 51 54 58 61 64 68 76 78 81 85 90 95 99 103 107 114 119 126 132 138 142 145 157 157 151 144 144 146 146 146 145 142 141 144 150 158 159 161 162 161 162 163 164 168 173 178 182 184 187 193
0 0 0 0 0 0 0 0 0 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 4 5 5 5 5 6 5 5 4 5 4 3 2 2 3 2 2 2 2 2 2 3 5 7 10 13 14 14 14 15 15 16 17 16 13 11 9 8 7 7 7 6 5 4 4 4 3 3 3 4 7 14 19 22 24 24 24 26 26 26 26 26 27 29 29 29 29 29 30 30 32 34 36 42 46 50 54 57 60 65 71 76 82 89 94 98 104 111 117 119 125 132 139 142 147 155 156 149 142 143 145 144 143 141 139 139 138 141 151 149 148 151 156 157 156 157 159 163 168 171 175 178 184
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 5 5 5 4 5 6 6 6 6 6 5 4 3 3 2 2 1 1 1 3 3 6 9 11 14 16 15 15 15 16 15 15 14 12 9 8 7 6 5 4 4 3 2 1 1 3 3 5 6 7 9 16 19 21 22 23 21 21 21 21 21 21 22 23 23 24 25 25 25 26 27 29 30 36 42 47 50 55 57 59 62 68 75 82 88 93 100 109 112 115 119 125 133 137 142 148 152 140 135 133 132 131 135 131 130 130 131 128 130 129 128 131 139 143 143 143 145 148 153 156 161 165 170
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5 6 7 6 5 5 6 5 5 6 7 8 7 6 5 4 3 2 1 1 1 1 2 4 6 9 12 14 15 16 17 17 16 15 13 11 9 7 7 7 7 6 5 3 2 1 0 0 1 4 5 6 8 13 15 15 16 17 18 18 17 17 16 16 18 18 18 19 20 20 22 23 24 25 26 29 31 34 39 46 51 55 56 58 61 65 70 76 81 86 90 98 103 106 108 111 117 121 127 135 145 132 126 123 120 115 117 115 114 113 109 111 112 112 113 112 116 119 120 121 123 125 125 130 136 141 145
0 0 0 0 0 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 5 6 5 6 5 5 6 5 6 6 7 8 9 8 7 6 4 4 2 1 0 1 2 4 7 9 12 15 17 18 19 19 19 18 16 13 10 8 6 5 5 4 3 4 3 2 1 1 1 2 3 4 5 6 5 7 9 10 11 8 9 10 12 14 14 15 15 16 16 17 18 19 21 22 24 25 28 30 32 34 42 46 49 53 55 56 59 63 67 71 76 79 83 88 92 92 96 100 103 106 114 114 109 105 103 101 98 97 96 94 94 93 95 95 95 97 99 101 102 102 103 107 109 111 112 114 118 121
0 0 0 0 0 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 5 6 6 5 6 6 6 7 7 8 8 9 10 11 10 9 7 5 4 3 2 2 2 4 7 10 12 15 18 21 22 22 20 19 18 16 13 10 7 6 5 3 2 2 3 3 3 2 2 2 3 2 2 3 3 1 0 1 2 4 2 3 3 3 5 9 10 11 12 14 16 17 19 21 22 23 24 25 27 29 29 32 35 39 46 48 49 51 54 57 58 60 63 68 73 77 79 80 82 86 85 85 83 81 79 82 83 84 84 84 86 85 85 85 84 85 86 88 89 91 91 94 96 98 102 102 103 104 106
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 6 7 8 8 9 9 9 9 10 11 11 11 12 12 11 10 8 6 5 4 4 4 5 7 11 14 16 18 21 21 21 21 18 16 14 12 10 8 8 6 5 4 3 2 3 3 3 2 3 3 2 1 2 2 1 1 1 1 1 2 5 5 3 3 3 3 4 4 6 10 14 18 20 21 21 22 23 23 23 25 26 27 28 30 31 34 36 39 44 46 48 49 51 51 55 56 55 52 50 56 55 56 58 60 62 66 70 73 76 79 81 81 81 81 82 83 83 83 84 87 88 89 90 92 97 97 97 97 99
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 5 7 8 9 10 11 11 11 12 12 13 12 13 13 13 12 11 9 7 6 5 5 7 8 12 15 17 18 18 21 21 20 16 13 11 10 9 8 6 6 6 5 5 4 4 4 3 2 1 1 1 0 0 1 1 2 2 2 2 2 2 7 12 15 12 11 10 8 6 7 12 18 20 18 17 19 19 20 21 21 22 23 23 22 23 23 25 26 27 32 33 35 35 33 32 35 36 36 37 36 40 42 45 49 53 56 60 63 66 69 72 74 75 77 79 81 83 84 84 85 87 87 87 90 94 94 95 96 98 102
0 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 6 8 9 9 10 11 11 12 12 13 14 15 16 15 15 15 14 13 12 10 8 8 8 9 11 13 16 17 17 18 17 18 19 16 12 10 9 8 7 5 4 3 3 4 5 4 4 4 2 1 1 1 1 0 1 1 2 2 2 1 1 1 1 3 7 10 14 16 17 16 15 16 17 19 19 12 14 15 16 17 16 17 17 18 18 18 17 18 19 20 21 22 22 23 23 23 24 25 26 27 29 32 36 38 41 45 49 53 55 59 63 65 68 71 73 76 79 82 84 84 85 87 87 86 87 90 92 92 93 95 99 102
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 3 3 3 4 6 9 10 10 10 10 11 12 13 13 14 15 16 17 17 17 17 15 14 13 12 11 11 12 14 17 20 21 21 17 16 15 15 13 10 8 8 8 7 7 4 3 3 2 3 4 4 4 3 2 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2 4 8 10 11 13 15 15 15 14 15 15 13 12 12 12 12 12 12 13 13 14 14 15 15 16 16 16 16 16 16 17 18 19 21 22 25 27 32 36 39 43 46 49 53 57 60 63 66 70 72 76 79 82 85 86 86 86 85 86 90 92 94 94 93 96 101 106
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 5 6 7 8 7 10 12 12 10 10 11 12 13 14 15 16 17 18 19 19 19 17 16 16 15 14 15 15 17 19 23 26 27 26 20 18 16 14 11 8 6 6 7 7 8 7 6 4 3 2 3 3 3 2 2 1 1 0 0 0 1 1 1 2 1 1 1 1 1 1 1 1 1 2 4 5 6 7 8 7 6 6 6 6 7 7 7 8 9 11 11 12 13 13 13 12 12 12 12 11 13 14 16 17 18 21 24 28 32 34 37 40 44 49 52 54 57 61 66 69 73 78 82 84 86 86 89 91 92 95 98 97 95 95 97 100 105 109
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 10 11 12 12 12 12 13 13 13 12 11 12 13 13 15 17 18 19 20 21 22 22 20 19 17 16 16 17 19 20 23 27 31 34 34 30 25 21 17 14 10 9 7 6 7 9 10 10 9 7 4 2 2 2 2 3 2 2 2 2 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 2 2 2 4 6 7 9 10 11 11 12 10 6 6 10 10 11 12 13 14 16 18 21 24 28 32 34 38 42 46 51 53 54 58 63 68 73 77 81 84 86 91 98 102 101 101 103 104 103 103 103 104 106 109 113
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 10 14 17 19 20 17 16 17 16 16 15 14 13 14 15 16 18 20 22 23 24 25 26 24 21 20 19 18 18 20 23 28 31 36 38 39 37 31 26 21 16 14 12 11 9 9 11 12 11 11 9 6 4 2 2 2 3 4 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 5 6 9 10 8 7 10 10 11 12 13 14 16 18 21 25 27 31 36 41 45 48 50 53 58 63 71 76 80 81 82 86 91 98 103 106 107 109 110 109 107 109 111 112 113 115 115
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 9 12 15 18 20 20 19 18 18 17 16 16 17 18 18 19 20 22 24 26 28 29 29 30 27 24 23 24 25 26 29 33 35 38 39 39 38 34 31 27 21 16 16 15 14 13 12 13 11 9 6 4 3 3 3 4 5 5 6 7 5 4 3 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 1 1 1 3 5 7 8 6 5 6 8 10 11 14 16 19 23 27 30 35 41 45 48 50 54 58 63 69 74 78 80 82 86 92 99 106 112 116 123 127 129 130 128 125 125 125 125 126 127
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 8 10 12 15 17 20 20 20 20 20 20 20 22 23 23 24 25 27 28 30 33 35 37 35 33 30 31 33 35 36 35 33 35 39 39 36 33 31 30 28 24 22 21 19 17 16 14 13 9 6 5 4 4 4 5 6 7 8 9 9 8 5 6 6 5 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 1 2 1 1 3 6 9 11 16 20 23 27 30 33 38 42 47 50 52 55 59 64 68 73 77 79 84 94 106 120 135 143 150 152 150 151 152 150 146 143 139 139 140 142
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 5 6 9 11 13 15 18 22 26 28 27 25 25 26 26 27 27 29 32 36 40 43 46 47 45 42 38 37 40 43 42 39 36 38 38 35 33 31 29 28 27 26 24 22 20 19 17 15 12 8 5 6 6 7 7 7 9 10 11 12 13 11 11 11 11 11 8 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 1 1 1 0 0 0 0 0 0 3 7 13 16 17 18 20 22 25 29 32 34 37 40 44 47 50 52 55 58 61 65 71 78 89 104 119 132 146 156 159 159 157 157 157 156 154 152 148 146 147 148
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 8 10 12 13 15 18 20 23 27 29 29 29 30 32 33 34 36 40 45 49 54 56 57 56 53 49 45 43 42 40 37 37 35 34 33 32 31 30 29 30 29 25 22 20 19 17 14 11 8 5 6 7 8 9 9 11 11 11 13 14 15 15 15 16 17 14 11 8 5 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 14 16 18 20 21 23 25 28 30 31 32 34 36 38 42 45 48 51 53 56 64 77 90 103 115 125 135 140 144 147 150 150 149 148 150 151 149 145 143 144
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 10 12 13 15 18 21 23 26 27 29 31 33 37 42 45 47 50 54 57 61 63 64 65 66 62 58 53 47 44 40 39 37 35 33 32 32 33 34 35 31 25 21 19 18 15 13 10 7 5 6 7 8 10 10 11 12 14 15 17 17 18 19 20 21 20 17 13 9 3 1 0 0 0 0 0 0 1 2 2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 15 17 19 20 21 21 22 23 25 26 25 26 27 28 30 34 38 41 44 47 52 60 70 82 92 102 108 115 122 126 134 139 139 138 138 138 135 133 134 135
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 10 12 13 14 17 21 24 26 29 30 32 34 37 43 50 61 70 69 68 68 68 68 69 73 73 71 65 56 53 48 43 41 39 37 36 36 37 37 34 29 24 20 18 16 14 12 11 9 7 7 8 9 9 9 10 12 14 17 19 20 21 23 23 23 22 19 15 12 6 2 0 0 0 0 0 1 2 4 3 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 10 13 15 17 19 19 19 19 19 19 19 19 19 20 21 22 24 26 29 32 35 38 41 46 54 63 71 79 87 95 100 105 112 117 119 123 122 121 121 123 124 126
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 6 9 11 12 13 16 21 24 26 28 30 32 34 37 42 50 63 77 81 80 82 81 74 73 75 77 78 73 63 58 53 48 45 42 40 38 38 37 33 29 26 22 19 16 14 12 11 11 10 8 9 11 12 11 10 10 13 16 19 22 23 23 25 25 23 21 19 15 11 6 2 0 0 0 0 1 3 5 5 4 2 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 4 6 8 11 13 14 15 16 16 15 14 13 13 14 14 15 16 16 17 19 21 24 26 29 32 35 39 44 49 56 65 73 78 83 89 94 97 102 106 107 109 110 115 117 118
0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 5 5 5 6 6 9 15 19 22 24 26 28 30 32 34 37 43 52 62 72 79 83 89 94 89 90 88 86 83 75 67 60 55 52 49 45 43 40 37 33 30 27 24 20 16 14 12 11 9 8 10 10 11 13 14 15 14 14 18 20 22 23 24 22 23 22 21 19 16 13 9 4 1 0 0 0 0 2 4 6 7 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 7 9 10 10 10 11 12 12 12 12 12 12 12 12 12 13 14 16 17 20 22 25 28 31 33 37 42 46 52 60 65 70 76 82 83 86 91 94 97 101 106 110 112
0 0 0 0 0 0 0 0 1 1 0 1 2 4 5 6 5 5 5 5 4 4 11 17 20 22 24 27 29 31 33 35 38 43 51 60 70 77 81 86 92 97 99 92 82 77 68 61 56 53 50 47 44 41 37 32 28 25 23 20 17 13 10 8 7 6 8 10 12 14 16 17 19 20 21 21 22 23 22 21 20 20 19 18 16 14 11 7 4 1 0 0 0 1 2 5 7 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 5 6 7 9 10 10 10 10 10 10 10 10 10 11 12 13 14 16 19 22 24 27 30 34 38 41 46 51 55 59 65 68 70 73 76 81 86 91 96 99 105
0 0 0 0 0 0 0 1 1 1 1 2 3 3 4 5 4 5 5 5 6 7 9 11 14 17 22 24 25 26 31 32 31 34 45 62 70 76 80 82 85 89 89 86 80 68 58 52 48 45 42 39 36 33 29 25 22 20 18 16 14 11 7 5 4 4 7 11 13 16 19 20 21 23 24 25 26 26 24 22 20 20 19 18 15 12 9 6 3 1 0 0 1 2 5 7 8 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 7 8 8 7 7 8 8 8 8 8 8 9 11 12 14 16 19 22 24 28 32 35 39 42 46 50 54 57 59 60 62 66 72 76 79 81 85 92
0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 4 4 5 6 7 10 12 13 14 14 14 18 20 20 22 24 26 28 33 43 57 66 70 72 74 74 75 73 70 67 61 56 49 40 35 33 30 27 24 21 18 16 15 14 13 11 9 6 4 4 6 8 12 15 19 21 23 24 24 26 29 30 29 26 24 22 21 19 16 12 9 7 5 3 2 1 1 2 4 6 8 10 9 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 6 8 8 7 6 6 7 7 6 6 7 9 11 13 16 22 23 25 28 32 34 37 40 44 47 52 54 56 57 57 60 65 69 71 71 75 80
0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 4 5 6 9 11 13 14 15 16 17 18 20 21 24 26 27 29 32 36 38 40 49 55 56 57 50 51 56 56 57 54 52 48 36 29 25 21 19 17 14 10 8 8 8 9 9 8 7 6 5 7 11 15 17 20 22 24 26 29 29 31 31 29 26 24 22 20 17 12 8 5 4 4 3 1 0 0 2 3 5 6 8 8 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 5 5 5 5 5 5 4 5 7 9 11 14 16 23 25 26 30 32 34 36 40 43 45 49 52 54 55 54 56 60 63 67 68 69 71
0 0 0 0 1 0 0 0 1 1 1 2 3 4 5 6 8 10 13 15 16 17 18 18 20 21 23 25 27 28 31 34 37 41 45 49 48 45 42 42 39 38 37 38 38 32 30 33 30 24 19 16 15 13 11 9 7 6 7 7 7 7 6 8 10 11 14 19 19 20 21 23 26 29 30 29 28 27 24 21 18 15 12 9 7 5 3 2 2 2 1 0 1 2 3 3 4 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 4 3 3 3 3 4 4 4 4 4 5 7 10 12 14 15 18 21 24 28 30 33 37 40 41 43 45 47 49 50 51 51 54 57 58 60 61 63
0 0 0 0 1 1 1 1 2 2 2 3 4 5 4 10 15 18 20 18 17 18 21 23 25 25 26 27 28 31 34 38 42 47 52 53 49 43 39 38 36 33 30 30 27 25 25 25 23 21 18 16 14 13 12 10 9 8 8 8 9 10 10 12 13 15 18 22 22 21 22 26 24 24 24 23 21 20 19 16 14 11 9 8 8 6 6 5 4 3 2 2 1 1 1 1 2 4 4 3 1 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 3 3 3 3 2 3 6 7 7 9 11 13 15 17 19 22 25 27 29 32 36 38 39 40 41 43 44 43 44 47 50 53 54 57 58
0 0 0 1 1 1 1 2 2 2 3 4 5 6 6 11 18 23 26 20 20 22 26 29 30 29 28 29 31 35 39 43 50 54 56 53 49 43 39 35 32 30 29 29 27 24 21 19 19 19 18 16 14 13 12 10 9 11 14 16 17 16 16 17 20 23 25 26 27 27 27 28 24 20 18 16 15 14 13 12 10 9 10 11 11 9 8 6 4 3 2 1 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 3 3 4 5 6 7 11 14 16 17 17 20 22 23 24 27 30 32 34 36 37 37 37 36 37 42 47 49 48 51 52
0 0 0 1 1 1 1 2 2 3 4 5 6 7 11 17 23 26 27 30 32 33 33 35 36 35 33 34 38 41 45 52 58 57 53 47 41 39 36 34 34 36 40 34 28 25 23 19 19 19 20 16 15 14 13 13 17 24 32 37 34 32 28 30 37 38 38 36 34 35 33 29 24 19 16 14 12 11 11 10 8 8 10 12 12 10 8 7 6 5 3 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 0 0 1 1 1 1 1 1 1 2 2 3 3 4 5 6 9 12 14 14 14 15 16 16 17 19 21 23 25 27 29 31 32 30 30 34 39 42 41 42 44
0 0 0 0 0 1 2 3 4 5 6 7 8 9 12 19 26 28 28 32 38 42 40 41 41 40 38 39 45 49 52 56 58 54 47 39 31 25 21 23 31 32 31 30 28 27 27 24 25 28 28 26 22 20 21 27 32 37 41 44 47 48 47 51 59 56 55 47 36 33 29 26 23 21 16 14 12 11 9 8 9 10 11 12 11 10 8 7 5 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 5 6 6 7 8 9 9 9 11 11 12 14 15 17 18 20 22 24 24 24 25 27 32 36 38 41
0 0 0 0 1 2 4 5 6 7 9 9 10 12 17 23 26 27 30 36 43 50 46 45 46 46 46 57 62 61 61 61 58 50 40 30 22 15 10 11 21 23 24 24 23 23 23 23 23 24 27 32 33 34 36 38 37 37 38 40 41 42 43 44 46 48 51 50 45 41 31 23 18 17 14 12 11 10 8 8 9 11 12 13 11 10 9 7 5 4 2 1 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 1 2 2 2 3 3 3 4 4 4 4 4 5 6 6 6 6 8 9 10 11 13 14 14 16 17 18 18 19 22 26 31 38
0 0 0 1 3 5 6 7 8 9 9 10 10 12 18 26 25 28 34 41 48 54 51 49 50 54 54 58 61 64 63 57 50 41 33 25 17 11 9 12 13 16 18 19 19 19 19 20 22 24 27 30 32 33 33 32 31 31 32 33 34 33 32 32 31 31 31 32 35 32 24 15 12 12 11 11 10 8 7 7 9 10 12 13 12 11 9 7 6 4 2 2 0 0 0 0 0 0 0 1 1 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 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 4 5 6 7 7 8 8 9 10 11 12 13 14 15 17 22 27
0 0 2 4 7 8 10 9 9 9 9 9 9 12 19 25 27 33 39 45 52 54 51 50 55 64 64 67 69 68 61 54 46 38 31 24 18 13 9 11 13 13 13 13 16 17 18 20 21 24 26 28 28 27 26 24 23 23 23 23 22 21 19 18 16 13 11 9 11 13 11 5 6 8 8 8 7 5 5 6 8 10 11 12 12 11 9 8 7 4 3 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 2 1 1 1 2 2 3 3 4 4 5 5 6 6 7 7 9 11 13 12 14 16
1 1 3 6 8 10 14 12 11 11 10 10 10 15 24 27 31 36 41 46 53 54 52 53 60 71 73 72 69 63 57 51 45 38 32 28 23 17 13 12 11 11 10 9 10 11 12 15 18 20 20 19 20 19 18 17 15 15 14 12 11 10 7 6 4 3 2 2 2 2 3 2 3 4 5 5 4 4 4 6 8 9 10 11 11 10 9 7 6 5 3 2 1 1 0 0 0 0 1 2 2 2 1 0 0 1 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 4 5 5 6 8 9 8 6 6
2 2 4 6 7 9 14 14 14 13 13 12 14 19 26 30 33 36 39 42 49 55 58 59 63 72 75 73 66 55 51 46 41 36 31 28 23 18 13 10 7 7 8 7 6 5 4 3 8 9 7 6 8 9 9 8 7 7 5 4 3 2 0 0 0 0 0 1 1 1 3 2 1 2 2 2 1 2 3 4 6 7 8 9 8 8 7 6 6 6 5 4 2 1 0 0 0 0 1 2 2 1 1 1 2 3 3 4 4 5 5 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 1 1 2 2 2 1 1 1 1 2 2 3 3 3 5 6 6 5 3 2
3 3 4 5 6 10 14 17 18 18 19 22 25 29 31 33 35 37 41 43 48 54 59 63 62 66 68 65 57 49 44 40 35 31 27 24 20 15 11 8 8 7 8 8 8 8 9 10 9 7 5 2 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 2 2 3 4 5 6 5 6 6 5 6 7 6 4 3 0 0 0 0 0 1 2 2 2 2 3 4 5 5 6 6 7 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 1 1 1 1 1 0 0 0 0 1 1 1 1 2 3 4 4 4 3 2
6 7 7 7 5 10 15 17 17 15 19 22 25 28 31 34 37 41 44 47 51 58 64 69 66 63 59 54 48 43 39 36 33 28 23 19 15 11 9 8 8 9 10 12 13 13 14 13 11 9 6 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 4 5 6 7 7 6 5 2 1 0 0 0 0 1 2 3 4 5 5 6 7 6 7 8 8 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 1 0 1 2 2 2 3 2 2 2
10 10 10 9 7 10 11 13 16 15 17 20 23 27 31 36 40 44 47 51 58 68 81 79 68 57 49 46 42 37 34 31 29 26 22 19 15 12 11 11 14 21 19 19 19 17 15 12 9 7 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 1 1 1 2 2 3 5 5 5 6 7 7 7 5 3 1 0 0 0 1 1 2 3 4 5 7 8 8 7 6 6 6 6 6 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 1 1 3 3 2 2
13 13 13 11 10 10 9 9 15 17 19 20 23 28 33 38 43 48 53 58 65 72 78 79 69 56 46 39 36 33 30 28 27 24 22 20 18 16 14 14 18 35 40 39 31 18 12 9 7 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 1 1 1 2 3 5 7 6 6 7 7 7 5 3 1 0 0 0 0 1 1 3 4 6 8 8 8 7 7 6 6 6 7 7 6 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 1 2 3 3 1
16 15 14 13 12 11 10 9 13 17 20 22 24 29 34 39 46 53 58 62 66 68 70 72 65 50 39 34 31 28 24 22 19 19 24 31 27 23 20 18 17 25 30 30 26 12 7 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 1 1 2 2 3 2 3 4 6 6 6 6 6 5 3 1 0 0 0 0 0 1 3 4 5 7 8 9 9 8 7 6 5 6 6 6 5 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 1 2 4 3
18 16 15 13 12 11 10 9 13 18 21 24 27 30 34 39 45 52 57 61 63 65 63 63 59 49 36 29 24 22 19 19 24 29 33 42 38 32 25 22 18 16 13 10 6 5 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 1 3 4 3 3 3 4 5 5 6 7 6 5 4 2 0 0 0 0 0 2 3 5 6 8 9 9 8 7 7 6 6 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5
18 17 15 13 12 11 10 11 16 21 24 27 30 33 38 43 48 53 56 57 57 56 53 52 52 46 30 20 17 21 22 23 27 31 33 40 41 35 26 21 17 12 8 5 3 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 1 2 3 3 3 4 4 4 5 6 6 6 5 4 2 1 0 0 0 2 4 6 8 8 10 10 9 8 8 7 6 5 5 6 5 4 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 1 3 6
20 18 16 15 14 13 11 13 19 24 28 31 34 38 42 47 49 51 52 51 49 48 45 42 40 36 22 14 13 17 21 24 27 30 33 38 39 35 27 20 14 9 6 4 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 1 1 2 2 3 3 3 3 5 6 7 7 6 5 3 2 1 1 1 3 6 8 9 9 10 9 9 8 7 6 5 5 5 4 4 2 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 2 5
21 18 18 17 15 14 13 16 22 28 32 35 37 40 44 47 49 49 48 45 42 39 36 33 29 21 14 11 13 16 18 21 25 30 34 37 40 39 26 15 8 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 1 2 2 2 3 2 3 3 3 4 5 6 7 7 5 4 2 2 2 3 5 8 10 10 10 10 9 7 7 6 6 6 5 4 3 3 3 2 1 2 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 1 2 3
23 21 20 18 17 16 15 23 29 33 36 40 44 47 47 47 47 46 44 40 35 31 27 24 16 11 10 12 15 19 20 21 24 29 32 35 36 27 14 7 3 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 1 2 2 3 3 4 4 4 4 4 3 4 5 6 5 4 4 3 4 5 6 8 9 9 9 9 10 8 7 7 6 6 5 4 3 2 2 1 2 2 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 1 1 1
24 22 21 19 18 21 21 27 34 40 43 45 47 47 45 42 40 37 33 28 24 20 17 13 6 4 6 9 11 14 15 16 19 24 26 26 20 9 5 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 1 1 2 2 3 3 4 4 4 4 5 4 4 5 5 5 4 4 4 5 6 7 8 8 8 8 8 9 8 7 6 6 6 6 5 4 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 23 21 21 23 30 34 39 44 49 47 45 42 39 37 35 31 28 24 20 15 12 9 6 5 5 6 6 6 8 10 11 14 15 16 15 10 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 2 3 4 5 5 5 5 4 4 3 3 3 3 4 5 5 6 6 7 7 8 9 8 7 6 6 5 5 5 4 5 4 4 3 3 2 1 1 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
23 23 23 27 36 42 45 47 48 49 43 38 34 30 28 25 22 18 15 12 8 4 3 2 2 2 1 2 3 5 6 7 8 7 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 1 2 3 3 3 3 2 2 2 2 3 4 4 4 3 2 2 1 1 2 1 1 2 3 4 3 4 4 5 6 7 7 6 6 5 5 5 5 4 4 4 4 4 3 2 2 1 1 1 1 1 1 2 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 31 36 41 48 48 47 45 41 37 32 28 25 22 19 17 14 11 7 5 3 1 1 0 0 0 0 1 2 3 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 1 1 1 1 2 3 3 2 1 1 0 1 1 1 2 2 1 1 1 1 1 2 3 4 4 5 5 4 4 5 5 4 3 3 3 2 2 2 2 1 2 2 2 2 2 2 1 0 1 1 2 3 3 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
37 43 48 51 49 45 42 37 31 26 22 19 16 14 12 10 8 6 3 1 0 0 0 0 0 0 1 1 2 2 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 1 2 2 2 2 2 2 2 1 1 1 0 1 2 2 2 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 3 3 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0
42 44 45 44 41 36 31 27 22 18 16 13 11 9 7 5 3 2 1 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 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 3 3 3 2 1 1 1 1 2 2 2 2 2 3 3 4 5 5 5 4 4 3 3 2 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0
37 39 39 37 34 29 23 18 16 14 12 10 7 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 3 3 2 2 2 3 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 4 4 4 3 3 2 2 2 3 4 4 5 5 4 4 4 5 5 5 5 4 4 3 3 2 2 2 1 1 1 1 0 0 0 1 1 2 1 1 1 0 0 0 1 1 1 0 0 0
35 36 33 27 21 13 8 10 12 10 6 4 3 3 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 0 0 0 1 0 0 1 1 2 2 2 2 2 2 3 3 4 4 4 3 3 3 3 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 5 5 5 4 3 3 4 4 4 5 6 6 6 7 6 5 5 5 5 4 4 4 5 5 4 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 1 2 2 2 1 1 0
32 29 24 21 17 13 11 12 10 8 5 4 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 1 0 0 1 1 2 2 2 2 2 2 3 4 4 4 4 5 4 4 4 3 5 5 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 6 7 6 6 5 5 5 6 6 6 6 7 8 9 8 7 7 6 5 4 4 4 4 5 5 4 3 2 2 1 1 1 2 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 3 2 1
34 27 17 17 17 14 10 7 5 4 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 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 2 2 2 1 2 2 2 2 3 4 4 5 5 5 5 5 4 5 6 6 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 7 8 8 9 9 9 8 8 7 6 6 7 8 8 8 7 7 6 4 3 3 3 3 3 2 2 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 1 2 1 2 3 4 3 3 3
32 23 14 11 9 7 4 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 1 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 5 5 6 7 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 7 8 8 9 10 10 9 8 7 6 7 7 8 7 7 6 6 5 4 3 3 2 2 1 1 0 0 0 1 2 3 2 1 1 0 0 0 0 0 0 0 1 2 2 3 3 4 4 3 3 2
24 16 9 5 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 3 2 2 1 1 1 2 2 2 3 4 4 4 4 4 4 4 5 6 7 6 5 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 7 8 8 8 7 6 5 6 7 7 7 5 5 4 4 5 4 3 2 1 1 0 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 3 2
17 10 5 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 1 1 1 1 2 2 3 3 2 2 3 3 3 2 2 2 3 3 3 3 2 2 1 1 1 2 3 3 4 4 4 4 3 4 4 4 5 5 6 5 4 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 4 4 4 5 6 6 5 5 6 6 6 5 4 4 3 3 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 1 2 3 2 2 2 3 3 3 3 3 2 1
11 6 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 1 1 1 2 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 2 1 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 2 2 3 3 4 3 4 4 5 5 4 3 2 1 1 1 1 1 1 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 1 3 3 3 3 3 3 3 3 3 2 1 1
7 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 1 2 3 4 6 6 6 5 5 5 6 6 5 4 4 3 3 4 5 4 4 3 2 2 3 3 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 1 2 3 2 1 0 0 0 0 0 0 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 3 4 4 2 2 1 0 0
5 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 1 1 2 4 5 6 6 6 6 6 5 6 6 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 4 3 3 3 2 2 2 1 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 1 1 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 5 4 3 2 1 1 0 0
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 2 3 5 6 6 6 5 5 5 6 5 5 5 5 5 4 4 4 4 5 6 6 5 5 5 4 4 4 5 5 6 5 5 5 4 5 5 5 4 4 3 3 4 4 4 3 4 3 2 2 2 1 1 0 0 0 0 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 2 2 2 1 0 0
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 1 3 5 6 6 5 5 5 5 4 5 4 4 4 4 4 4 3 4 5 5 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 3 3 3 2 3 3 4 4 4 4 4 3 2 1 1 0 0 0 0 0 1 1 2 3 3 2 1 2 2 2 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 1 2 2 2 2 3 4 4 4 3 2 2 1 0 0 0
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 1 4 5 5 5 6 5 5 5 4 4 4 4 4 3 4 3 3 3 3 4 5 6 6 6 6 6 6 7 7 7 5 5 5 5 5 4 4 3 3 3 2 3 3 3 3 4 4 4 4 4 3 2 1 0 0 0 0 0 1 2 2 3 3 4 5 6 5 4 3 3 3 3 2 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 2 2 2 2 2 2 2 3 3 4 3 3 2 1 0 0
1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 5 5 5 4 4 3 3 4 3 3 3 3 4 4 5 5 6 8 9 8 8 7 7 6 6 6 5 5 4 4 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 1 1 0 0 1 1 2 3 3 2 3 4 4 4 4 3 4 4 5 6 5 2 1 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 2 2 2 2 2 2 2 2 4 5 5 4 3 1 0 0
1 1 1 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 1 2 3 4 4 3 3 3 4 5 4 4 3 3 3 3 3 3 3 4 4 5 5 6 12 19 15 12 9 7 7 6 6 5 5 4 4 3 3 3 3 3 2 2 2 1 2 2 3 3 2 1 1 1 1 1 1 1 1 2 3 3 3 2 3 3 3 3 2 2 3 4 6 8 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 3 2 2 2 2 2 3 4 4 3 3 2 1 1 0
1 1 1 1 1 1 0 0 1 1 1 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 2 3 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 4 5 6 6 9 14 18 15 11 9 7 6 6 5 3 4 4 3 2 3 3 3 2 2 2 1 1 1 1 1 2 1 1 1 0 1 1 1 2 2 2 3 3 3 2 1 2 2 2 2 3 3 4 5 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 2 2 1 1 1 2 2 3 3 3 2 2 1 1 0 0
0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 3 3 4 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 5 6 5 7 10 10 9 8 8 7 6 6 5 5 4 4 3 3 2 2 2 2 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 2 3 2 2 2 1 1 2 3 4 5 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 0 0
1 1 1 1 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 1 1 2 3 4 3 3 3 3 3 2 2 2 2 2 3 2 2 2 2 3 3 4 4 4 5 5 6 7 6 6 6 5 6 6 5 5 4 4 3 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 2 1 1 1 1 2 3 4 6 7 8 6 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 1 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 1 1 2 2 2 3 3 4 3 3 2 2 2 3 3 2 2 2 2 2 2 3 3 4 4 4 4 5 5 5 4 4 5 5 5 5 4 3 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 2 2 1 1 2 2 3 3 4 5 6 6 7 6 4 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 4 4 4 3 3 2 2 3 3 3 2 2 2 1 1 2 2 2 4 4 4 4 3 3 4 4 4 5 5 4 4 3 2 1 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 4 5 6 6 6 7 7 6 5 4 3 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 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 1 1 2 3 3 3 2 3 3 2 2 3 3 3 2 2 2 3 3 2 2 1 1 1 1 2 2 3 3 3 2 2 3 3 4 4 4 4 4 3 3 2 1 2 2 2 2 1 1 1 0 1 1 1 1 1 1 1 2 2 2 2 1 0 0 1 1 1 2 2 3 3 3 3 3 4 5 5 7 7 8 7 6 5 4 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 2 2 2 3 3 2 3 2 1 1 2 3 3 2 2 2 2 2 2 1 1 1 1 0 0 1 1 1 2 2 2 2 2 3 3 3 4 3 3 3 2 2 2 2 2 2 2 1 1 1 0 1 1 1 1 2 2 3 3 2 2 1 1 1 1 0 1 1 1 2 2 2 3 2 2 3 3 4 4 5 6 5 4 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 0 0 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 3 3 2 2 1 1 2 2 2 2 2 2 2 2 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 3 3 2 1 1 1 1 1 1 1 2 3 2 2 2 1 1 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 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 2 3 2 2 2 2 2 1 1 1 2 2 3 2 2 2 2 1 1 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 3 3 2 2 3 3 4 4 2 2 2 3 3 2 2 2 2 2 2 3 2 1 1 1 1 1 1 1 2 2 1 1 0 1 1 2 3 3 3 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 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 2 2 2 2 1 2 2 2 2 2 2 2 2 2 3 3 3 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 1 2 3 3 2 2 2 3 3 6 7 5 3 4 6 8 4 2 2 1 2 2 2 1 1 1 1 2 2 2 1 1 0 0 0 0 2 6 12 15 9 4 2 1 0 0 0 0 0 0 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 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 0 1 2 2 1 2 2 2 4 5 6 5 4 5 5 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 2 3 2 2 2 2 1 3 5 6 6 8 10 11 9 5 2 1 1 1 1 2 2 2 2 2 2 3 3 3 1 0 0 0 3 7 11 13 8 4 2 1 1 0 0 0 0 1 2 4 6 7 6 5 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 1 2 2 2 2 2 2 4 7 9 11 12 10 7 6 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 2 2 2 2 3 3 2 2 2 2 2 3 4 5 8 4 2 1 1 1 1 1 1 1 2 2 2 3 3 2 0 0 0 0 0 2 5 8 6 3 1 0 0 0 1 0 0 2 4 6 8 9 9 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 1 1 2 2 1 1 1 2 5 10 8 6 7 7 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 1 2 2 3 3 3 2 2 2 2 2 2 1 2 2 1 1 0 0 0 0 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 6 7 8 8 7 5 3 1 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 1 1 2 2 1 2 2 2 2 1 1 1 2 4 3 2 2 3 3 4 4 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 2 2 2 2 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 5 6 6 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 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 2 2 2 2 1 1 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 2 2 3 2 2 2 1 1 1 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 2 2 1 1 1 1 2 4 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 0 0 0 0 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 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 2 2 2 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 2 2 2 2 3 3 2 2 2 2 1 1 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 1 1 2 2 2 1 1 1 2 2 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 1 2 6 6 6 6 5 4 2 1 1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 2 2 2 2 1 1 2 2 2 2 2 1 1 2 1 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 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 2 2 1 1 1 1 0 0 1 1 1 0 1 1 1 2 2 2 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 2 5 8 9 10 9 9 7 7 6 5 4 3
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 2 2 2 2 1 1 2 2 2 1 1 1 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 3 4 3 2 1 1 0 0 0 1 1 0 0 0 1 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 8 9 10 9 9 10 10 8 7