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 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 13 14 15 16 15 14 12 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 9 9 9 9 10 10 10 9 9 11 16 19 18 10 2 2 6 9 10 9 9 9 11 16 22 25 21 14 10 9 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 6 6 6 6 6 7 8 9 10 11 11 11 11 11 12 14 15 16 16 16 16 16 15 13 10 8 7 6 5 5 5 4 4 4 5 6 7 7 8 8 7 7 7 7 7 8 9 10 11 12 13 13 13 12 nan
nan 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 10 10 11 11 12 13 14 16 16 15 13 12 11 10 10 10 11 11 11 10 9 8 9 10 11 12 11 10 10 10 10 10 10 10 9 9 11 15 18 16 8 2 3 7 9 10 9 9 11 13 17 22 22 19 15 12 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 8 8 7 6 5 5 5 6 8 8 8 8 8 8 9 9 9 10 9 9 10 12 13 13 13 13 13 13 13 12 11 9 7 6 6 5 5 5 5 4 4 5 6 6 7 8 8 7 7 7 7 7 8 9 9 10 10 11 11 11 11 nan
nan 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 9 9 8 8 8 8 9 9 11 11 11 11 11 12 14 15 15 14 13 11 11 10 10 11 12 12 11 10 9 9 10 12 13 13 12 12 11 11 11 10 9 8 8 9 13 16 14 8 5 5 7 9 10 10 11 14 16 17 16 17 18 18 15 11 10 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 8 7 6 5 5 6 8 10 11 11 11 10 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 10 10 8 7 6 6 5 5 5 5 5 5 5 5 6 6 7 8 7 7 7 7 7 7 8 8 9 9 9 9 10 10 9 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 11 11 11 11 10 11 12 13 14 14 12 11 10 10 11 11 12 11 10 9 9 9 11 14 14 14 13 12 12 11 10 9 8 7 9 12 16 15 12 8 7 8 9 10 11 13 16 17 13 8 11 17 21 20 15 11 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 8 8 7 7 7 8 10 12 13 13 12 11 10 9 9 9 8 8 8 8 9 9 10 9 9 9 9 8 7 6 5 5 4 4 5 5 5 6 6 6 6 6 6 7 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 nan
nan 7 8 8 7 7 6 6 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 11 12 12 11 10 10 11 11 11 10 10 9 8 8 10 12 14 14 14 13 12 11 10 9 8 8 10 13 15 15 12 9 8 9 10 10 11 13 15 14 7 4 7 15 21 22 18 14 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 12 14 14 14 12 11 10 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 5 5 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 nan
nan 8 8 8 8 7 7 7 8 8 8 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 11 11 11 11 11 10 9 8 7 7 7 9 10 12 14 14 13 13 12 10 9 9 9 10 12 13 11 8 7 7 9 10 10 10 11 11 9 5 3 6 12 18 20 20 18 16 14 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 9 9 11 12 14 14 14 13 11 10 9 8 8 8 8 8 7 6 5 5 6 6 6 6 6 6 5 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 8 8 8 8 9 10 10 8 7 7 7 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 10 11 11 11 10 9 8 7 6 7 8 9 11 13 13 14 13 12 10 9 9 9 10 11 10 8 7 7 8 10 10 10 10 10 10 9 7 6 8 11 14 17 20 22 21 18 15 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 10 11 13 13 13 13 11 10 9 8 8 8 8 8 8 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 9 8 9 10 11 11 10 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 12 11 10 9 8 8 9 10 11 12 11 10 9 8 8 8 7 8 10 12 12 12 12 11 11 10 10 9 9 10 9 8 8 8 9 10 11 11 11 12 12 10 9 9 9 10 11 14 18 22 24 22 17 13 11 9 7 6 7 7 8 8 9 9 9 9 9 9 10 11 12 12 12 11 10 10 9 8 8 8 8 8 8 8 7 5 4 4 3 4 4 4 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 nan
nan 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 12 11 11 10 9 8 8 9 11 12 12 11 10 9 9 9 8 7 9 9 9 9 9 10 11 11 10 9 9 8 8 8 9 9 10 11 11 11 11 12 12 11 10 9 9 10 11 13 16 21 24 23 19 15 11 9 7 7 7 8 8 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 7 6 5 4 4 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 10 10 10 nan
nan 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 9 10 11 12 12 11 10 10 9 9 9 8 7 7 7 7 9 10 11 11 9 8 8 8 8 8 9 10 10 10 9 10 10 10 10 10 10 10 10 11 11 14 19 23 23 21 16 12 10 9 8 8 8 9 10 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 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 nan
nan 9 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 10 9 9 7 6 6 6 8 10 12 11 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 11 11 11 13 16 20 22 21 18 13 11 10 10 10 10 10 11 11 11 10 9 10 10 11 11 10 9 8 8 8 9 9 9 9 9 8 8 8 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 7 7 8 9 9 8 8 9 10 10 10 10 10 11 12 11 11 10 10 10 9 8 7 6 6 8 10 11 11 11 11 11 11 10 10 10 9 9 8 8 9 10 10 10 10 10 11 11 12 12 12 15 17 21 21 18 15 12 11 11 11 11 12 12 12 11 10 10 10 10 11 11 10 9 8 8 8 9 9 9 9 9 8 8 8 9 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 10 nan
nan 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 9 9 9 8 7 7 8 8 8 7 6 7 8 9 9 8 8 8 9 11 11 10 10 11 11 11 11 11 11 11 10 9 8 7 7 9 10 11 11 11 12 13 12 12 11 10 9 8 7 8 9 10 10 10 10 11 11 12 12 12 12 14 16 20 21 19 16 14 11 11 11 12 12 12 12 11 10 10 10 10 11 11 10 9 8 8 9 9 9 9 9 9 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 10 10 9 9 9 9 10 10 9 9 8 9 9 10 10 9 9 9 10 10 10 9 8 9 10 11 11 10 10 11 11 11 11 11 11 11 9 8 8 8 9 10 10 11 11 13 14 13 12 11 10 8 7 8 9 10 10 10 10 10 11 11 11 11 12 13 14 16 19 21 21 19 15 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 13 12 12 12 11 11 11 11 12 nan
nan 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 7 8 9 10 9 8 7 7 8 9 10 10 10 9 10 10 11 12 12 11 10 10 12 12 11 9 8 9 10 11 11 11 11 10 10 10 11 11 11 10 9 8 8 9 10 10 10 10 11 12 12 11 10 8 8 8 9 10 10 10 9 9 10 10 11 11 11 12 13 14 16 19 22 22 19 14 12 12 11 12 12 12 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 13 13 14 14 14 14 14 14 14 13 13 14 14 15 15 14 14 14 13 13 12 12 13 14 nan
nan 10 9 9 9 9 10 9 9 8 8 7 7 7 8 8 8 8 9 9 8 7 6 6 7 8 9 9 9 9 10 10 10 11 11 11 10 11 12 14 13 12 9 9 10 11 12 12 10 10 10 10 10 11 12 11 10 9 9 9 10 10 10 10 10 9 9 8 7 7 8 9 10 10 10 9 9 9 9 9 10 11 11 11 12 14 17 20 22 21 16 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 12 12 12 13 14 14 15 15 15 15 15 15 15 16 16 17 17 17 17 17 16 16 15 15 14 15 16 17 nan
nan 10 10 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 9 8 7 6 6 6 6 7 7 7 7 8 9 9 10 11 11 12 12 12 13 13 12 11 10 10 11 13 11 9 9 9 9 10 11 11 11 11 10 10 10 11 11 12 11 10 7 6 5 5 5 6 8 9 10 10 10 10 9 9 10 10 10 10 10 11 13 14 15 15 13 9 8 7 8 9 10 10 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 14 14 14 14 14 15 15 16 16 17 18 18 18 19 19 19 18 18 17 17 17 18 18 19 nan
nan 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 7 7 6 5 5 6 6 6 6 6 6 7 8 9 10 10 11 10 10 10 10 11 10 10 10 11 12 11 9 8 9 9 10 11 11 11 11 10 10 11 11 12 13 12 9 7 6 5 5 5 5 6 7 9 9 10 10 10 10 10 9 8 8 9 10 11 11 10 8 5 4 5 5 6 7 8 8 9 9 10 11 13 15 15 15 15 14 14 14 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 15 16 17 17 17 17 18 19 19 19 19 18 18 19 20 20 19 nan
nan 11 11 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 7 7 6 7 7 7 7 6 5 5 5 6 7 8 8 8 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 12 13 13 11 8 7 7 7 6 6 6 7 7 7 8 8 9 9 10 9 8 8 8 9 9 9 9 8 7 6 6 7 9 10 11 10 8 8 8 9 12 14 16 16 15 15 16 16 15 15 14 14 13 12 11 11 11 10 10 9 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 14 15 15 16 15 16 17 17 17 18 18 18 19 19 19 18 17 nan
nan 11 11 10 10 10 10 11 12 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 6 7 8 9 10 11 12 12 12 10 9 8 8 9 10 10 10 9 10 10 10 10 10 10 9 9 10 12 13 13 10 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 9 10 10 12 13 16 17 17 16 15 14 14 16 16 15 12 11 14 17 17 16 15 14 14 13 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 13 14 14 15 15 16 16 16 16 17 17 17 18 17 17 16 15 nan
nan 12 11 10 10 10 12 13 13 13 12 10 9 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 8 9 10 11 12 13 14 14 12 10 8 8 9 10 10 10 9 10 10 10 10 10 9 9 9 9 11 11 10 9 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 8 8 9 10 10 11 11 13 16 20 22 22 22 22 22 19 16 13 13 15 17 17 16 15 14 13 13 12 12 11 11 11 11 11 10 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 16 16 15 16 16 16 16 16 16 15 14 13 nan
nan 11 10 10 11 12 13 14 14 13 11 9 8 7 7 7 7 8 8 8 9 9 10 10 10 11 11 12 11 11 12 12 12 10 9 9 9 11 12 13 14 14 14 12 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 10 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 7 6 6 7 11 15 18 19 20 19 16 15 15 16 17 15 14 14 14 14 13 13 12 12 12 11 11 11 11 11 12 12 12 11 11 12 12 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 15 15 15 15 15 14 14 14 13 12 11 nan
nan 11 10 11 12 13 14 14 13 11 9 8 7 6 6 6 7 8 9 9 9 10 11 12 12 11 12 12 12 12 12 13 13 12 10 9 8 9 11 13 14 15 14 12 10 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 6 4 3 2 1 2 4 6 6 5 5 5 7 8 8 7 6 7 8 10 11 11 11 11 10 9 8 8 10 12 12 12 12 11 11 11 12 12 12 12 12 13 13 13 14 14 14 15 15 15 14 14 14 15 15 15 15 15 15 14 14 14 13 13 12 12 11 11 10 9 nan
nan 11 11 12 13 14 14 13 11 9 7 5 4 3 2 2 3 5 7 7 6 7 8 10 11 12 12 12 12 11 11 12 13 12 11 9 9 10 11 12 13 14 13 12 11 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 9 9 8 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 5 3 1 -1 -1 -1 -1 -2 -2 -2 -2 -2 -3 -3 -2 -2 -1 1 4 6 6 6 6 5 5 7 10 12 13 13 12 11 11 11 12 12 12 13 13 13 14 14 15 15 15 16 15 15 15 15 15 15 15 15 14 14 14 13 13 12 12 11 11 10 9 9 9 8 nan
nan 11 12 13 14 14 13 11 8 5 2 0 -1 -2 -3 -3 -3 -2 -1 -0 -1 -1 0 4 7 10 11 11 11 11 11 12 12 12 11 11 10 10 11 12 13 13 13 12 11 10 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 9 9 9 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 10 9 9 9 8 7 6 6 4 3 2 2 2 3 2 2 0 -1 -2 -3 -3 -4 -4 -2 -0 1 1 2 4 7 11 13 13 12 11 11 10 10 11 11 12 13 13 13 14 14 14 14 15 15 15 15 14 14 14 14 14 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 8 nan
nan 12 13 14 14 13 11 7 4 1 -1 -2 -2 -1 -2 -2 -3 -4 -5 -6 -7 -9 -8 -5 -1 4 7 8 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 7 6 6 7 8 10 12 11 10 9 9 8 8 8 8 7 7 8 9 9 9 8 7 6 5 4 3 1 0 -1 -0 0 1 3 7 11 12 12 10 8 7 7 8 10 11 12 12 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 nan
nan 13 13 13 13 11 8 5 2 0 1 2 3 4 4 4 3 2 1 -1 -4 -7 -10 -12 -11 -8 -3 -1 3 6 9 9 9 9 9 9 10 10 11 12 12 12 12 12 11 10 10 9 9 9 9 10 10 10 10 9 9 9 10 11 11 10 10 10 10 9 7 7 7 9 11 11 10 9 9 8 8 8 8 8 8 7 7 6 6 6 8 11 12 12 12 10 9 8 8 8 8 9 9 10 11 12 11 10 10 9 9 8 8 7 6 5 5 5 5 6 7 8 9 8 6 5 5 6 9 10 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 9 nan
nan 14 14 13 12 10 8 7 6 6 7 8 8 9 9 10 10 10 9 8 6 2 -3 -9 -14 -16 -14 -12 -8 -3 2 5 7 9 8 7 7 8 9 9 11 12 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 10 11 12 12 11 11 11 9 7 7 8 9 11 11 10 9 9 8 8 8 8 8 8 7 7 6 6 5 6 8 10 11 12 12 10 9 9 8 8 8 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 10 11 12 13 13 13 13 12 12 11 12 12 12 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 14 14 12 11 10 11 12 13 14 15 15 16 16 17 17 16 15 14 13 12 9 5 -1 -6 -10 -13 -13 -12 -10 -7 -3 1 5 8 8 8 8 6 6 8 9 10 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 9 6 5 7 9 11 11 10 9 9 9 8 8 8 8 7 7 6 6 6 6 5 6 8 9 10 12 12 10 9 8 7 7 8 8 8 8 9 10 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 12 13 16 19 21 21 20 17 15 13 12 11 11 11 11 11 11 11 12 12 12 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 8 8 nan
nan 14 14 12 11 11 13 15 18 20 21 22 23 24 24 23 21 19 17 15 14 12 9 6 3 1 -1 -3 -5 -7 -8 -8 -5 -1 4 7 10 11 8 6 7 7 7 7 7 8 9 9 10 11 11 11 11 12 13 13 13 12 12 12 11 9 7 5 4 5 8 11 12 10 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 7 8 10 12 11 9 8 7 6 7 8 8 8 9 10 10 11 11 10 9 9 9 9 9 9 9 10 11 12 12 13 15 17 19 21 21 20 18 15 13 12 11 11 11 11 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 nan
nan 14 13 12 10 10 11 13 16 18 20 21 21 22 23 23 23 22 21 18 16 13 11 9 8 7 7 7 5 3 1 -1 -2 -2 1 4 8 10 9 8 8 8 7 6 5 6 7 8 10 12 12 12 13 13 13 12 11 10 10 9 7 5 4 4 5 7 9 11 11 10 10 10 10 10 10 9 8 8 8 8 7 7 6 6 6 7 7 8 10 10 9 8 8 7 7 8 8 8 9 10 10 11 12 11 10 9 9 9 9 9 9 10 11 12 14 15 16 17 18 18 18 16 15 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 nan
nan 13 12 11 10 10 10 11 13 14 15 14 13 11 13 15 19 22 22 21 19 16 13 11 10 9 10 10 11 11 11 11 9 6 4 3 4 5 6 6 7 8 8 7 5 5 5 8 11 12 13 14 13 11 10 9 8 9 9 8 5 4 5 6 7 8 9 10 11 10 10 10 11 11 11 10 9 10 10 10 9 8 7 7 8 8 8 8 9 9 9 10 10 9 9 8 8 8 9 9 10 11 11 11 10 9 9 9 9 10 10 10 11 13 15 17 19 20 19 17 15 13 12 12 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 nan
nan 12 12 11 10 9 9 10 12 12 12 9 5 3 5 8 13 17 19 21 21 20 17 14 13 13 13 13 14 15 17 19 20 18 14 9 5 3 2 2 3 5 7 7 7 6 6 8 10 12 13 14 12 9 8 9 10 12 11 9 7 7 9 10 10 9 9 10 10 10 11 11 12 12 11 10 10 11 11 9 7 7 7 8 9 9 9 9 9 9 10 12 12 11 10 9 7 8 8 9 9 11 11 11 11 10 9 8 9 9 9 10 10 11 12 15 17 17 16 15 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 8 8 nan
nan 12 11 10 10 9 9 10 11 11 11 8 6 6 7 9 11 12 14 17 19 21 21 20 20 19 20 20 20 22 24 28 31 30 26 20 13 7 2 -2 -3 0 4 6 7 8 8 9 11 12 13 13 12 10 11 12 14 14 12 9 9 10 11 11 11 10 10 11 11 12 12 11 10 9 9 9 10 9 8 6 5 6 7 8 9 10 9 9 9 10 12 13 12 11 10 8 7 7 8 9 10 11 11 11 11 9 9 8 8 9 9 10 9 9 8 8 9 10 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 12 11 10 9 9 9 10 10 11 11 12 14 15 15 14 12 11 11 12 14 18 22 25 27 28 29 30 31 33 35 39 43 43 38 31 22 15 8 1 -3 -2 0 3 7 9 10 11 11 12 13 13 12 12 12 13 12 10 9 8 10 11 11 11 11 11 12 12 13 12 10 8 6 7 8 9 9 8 7 6 6 7 8 9 10 11 11 10 10 11 13 12 10 9 7 6 6 7 7 8 10 10 11 11 10 9 9 8 8 9 10 9 9 8 7 5 4 4 7 10 12 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 nan
nan 12 11 10 9 9 8 9 9 10 11 13 16 17 16 14 12 10 9 9 11 14 19 24 28 31 34 37 40 43 45 48 51 51 47 38 29 20 13 6 1 -0 1 4 7 9 10 11 12 12 12 12 12 11 11 10 8 6 6 9 11 12 11 10 10 11 11 11 11 9 6 4 5 8 11 11 10 9 8 8 8 9 10 12 12 12 12 11 11 12 11 10 8 6 5 6 6 6 7 8 9 9 10 10 9 9 8 8 9 9 9 9 8 8 7 6 5 6 8 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 nan
nan 11 10 9 9 8 8 8 9 10 10 11 11 12 11 10 9 8 8 8 10 13 16 20 24 28 32 35 39 42 44 46 48 49 48 42 33 25 18 12 8 7 6 7 8 8 10 11 12 12 12 12 11 11 10 7 6 6 8 12 14 13 11 11 10 10 10 9 9 6 4 5 8 12 13 11 9 8 9 9 10 11 12 13 13 12 11 10 11 11 10 8 7 6 7 7 8 7 7 8 8 9 10 10 9 8 7 7 8 9 9 9 8 8 8 8 8 9 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 6 6 5 4 4 5 5 6 6 7 7 nan
nan 11 10 10 9 8 9 9 10 10 9 9 9 8 7 6 5 5 6 8 11 13 16 20 23 27 30 33 35 37 38 38 39 40 40 37 32 26 20 15 13 13 12 10 8 8 9 11 12 12 12 12 11 10 9 9 9 9 11 14 14 13 11 11 11 10 9 9 7 6 6 9 12 13 11 9 8 8 9 10 11 12 13 12 11 10 10 10 10 10 9 8 8 9 9 9 8 7 7 7 7 9 10 9 9 8 7 7 8 8 9 10 9 9 9 8 8 8 9 11 12 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 7 8 8 8 8 9 9 9 9 8 8 7 6 5 5 4 4 3 4 5 6 7 7 8 8 nan
nan 10 10 9 9 9 10 11 11 10 9 9 9 8 5 1 0 1 4 8 12 16 20 25 28 31 33 34 34 34 33 32 32 31 30 29 27 23 19 16 15 15 13 11 8 8 10 11 13 13 12 12 11 10 10 10 11 11 12 13 12 12 11 11 10 10 10 8 7 7 8 10 11 10 9 9 10 10 10 10 10 10 10 8 8 7 8 9 9 9 9 10 10 10 9 8 7 7 7 7 8 9 9 9 9 8 7 7 8 8 9 10 10 10 9 8 6 5 5 8 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 8 9 10 9 8 7 5 4 4 4 4 4 4 5 6 7 8 9 9 9 nan
nan 10 9 9 9 10 11 11 11 9 9 9 9 7 1 -3 -3 -0 4 9 14 20 26 31 35 37 37 36 33 31 30 28 28 26 25 23 21 18 17 16 16 15 13 10 9 10 11 13 13 13 13 12 11 10 10 11 12 12 13 12 12 11 11 10 9 9 9 8 7 7 7 8 9 9 9 10 11 10 9 9 8 7 6 6 6 6 6 7 8 8 9 10 10 10 9 8 7 7 7 7 8 9 9 9 9 7 7 7 8 9 9 9 9 10 10 8 6 3 4 6 8 9 9 8 8 8 8 8 7 7 7 7 7 6 6 5 5 4 4 5 6 8 9 10 9 7 4 3 2 3 4 4 4 5 6 8 8 9 10 10 9 nan
nan 9 9 9 10 11 11 11 10 9 10 10 9 4 -2 -3 -2 1 6 12 19 27 34 39 41 41 39 35 31 28 26 25 24 23 21 20 18 17 17 17 16 15 13 12 12 13 13 14 14 14 14 13 12 12 13 15 16 17 16 15 13 12 11 9 8 8 7 6 6 5 6 6 7 8 9 9 9 8 7 6 6 5 5 6 6 6 6 6 7 7 8 9 10 11 11 10 9 9 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 10 10 9 8 6 5 5 7 9 9 8 8 8 7 7 7 7 7 7 7 7 6 5 4 3 3 4 6 8 10 10 8 6 3 2 3 4 4 4 5 6 7 8 9 10 10 10 9 nan
nan 9 9 9 10 11 12 11 9 10 10 10 7 0 -3 -3 -1 4 11 19 27 36 42 45 44 42 38 33 29 26 23 22 21 20 19 18 18 19 19 19 18 17 16 16 16 16 17 17 18 17 17 16 17 18 20 22 23 23 21 19 18 17 15 13 12 10 9 7 6 6 7 7 8 7 8 8 7 6 6 6 6 6 6 7 6 6 6 6 6 6 7 9 11 13 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 6 4 5 7 8 9 9 9 8 8 8 8 7 7 7 7 6 5 4 4 4 4 6 8 9 10 8 6 5 4 5 5 5 5 5 7 8 9 9 10 9 9 8 nan
nan 9 9 9 9 10 11 10 10 10 10 9 4 -2 -4 -3 2 8 16 25 34 43 49 49 46 42 37 31 27 24 21 20 19 18 18 17 18 18 18 18 17 17 17 18 20 21 22 22 23 23 23 24 25 27 28 29 27 25 23 21 21 21 20 19 17 15 14 13 12 11 9 9 8 8 8 8 8 7 7 6 6 7 7 7 6 6 6 6 6 7 7 9 11 13 13 13 12 10 10 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 6 4 4 5 7 9 10 9 9 9 9 8 8 8 7 7 6 5 5 4 4 5 6 7 9 9 7 6 6 6 6 6 5 5 6 7 8 8 8 8 7 6 5 nan
nan 8 6 6 8 9 10 10 10 11 10 8 1 -3 -4 -1 5 12 18 27 38 49 54 50 46 41 35 29 24 22 20 19 18 18 17 17 16 15 14 13 13 14 17 20 23 24 25 25 26 27 28 29 30 30 29 27 25 22 20 20 20 20 20 19 19 19 19 18 14 11 9 8 8 8 9 9 9 8 7 7 7 7 7 7 7 6 6 7 7 7 8 9 11 12 13 12 12 11 10 9 9 10 11 11 11 10 9 9 9 9 9 8 8 8 9 9 10 10 8 6 4 4 5 8 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 5 5 5 6 7 7 6 5 5 5 5 5 6 7 7 7 7 7 6 5 4 3 nan
nan 7 4 4 7 10 12 12 11 11 10 6 -0 -3 -3 2 7 12 19 28 42 53 54 50 44 38 31 26 22 21 20 19 18 18 17 16 15 13 11 10 10 12 15 18 22 23 24 25 25 26 27 27 26 25 23 21 20 18 17 17 16 16 16 16 17 17 17 14 9 6 6 7 8 9 10 10 9 8 7 7 7 8 7 7 7 6 6 7 7 8 8 9 11 12 13 12 12 11 10 10 11 12 12 11 10 8 8 8 8 8 9 8 8 8 9 9 10 10 10 9 5 3 3 4 6 7 7 8 9 9 9 9 9 9 9 10 10 9 7 5 3 3 4 5 6 6 4 3 3 3 4 5 6 6 5 5 4 4 3 2 3 nan
nan 7 5 6 8 11 14 14 12 11 9 4 -1 -3 -1 4 9 12 18 29 45 54 52 47 41 34 28 23 21 19 18 17 17 17 17 16 15 13 12 12 11 11 12 13 15 16 17 17 17 17 18 18 18 17 16 15 14 13 12 10 10 11 12 13 13 12 9 6 4 4 6 8 10 11 11 11 9 7 7 7 8 8 7 7 6 7 7 7 8 8 9 10 11 12 13 12 11 11 10 11 12 12 11 10 8 7 7 7 7 8 8 8 8 8 8 9 10 10 11 10 8 4 2 1 1 2 3 4 5 6 7 8 9 10 12 12 13 12 9 7 5 5 6 7 8 6 4 2 1 1 2 3 4 4 4 4 3 3 3 4 6 nan
nan 10 8 8 9 11 13 13 11 9 7 2 -1 -1 2 6 9 12 18 30 45 50 48 43 36 29 25 22 20 18 17 16 16 16 16 16 15 15 15 14 14 12 10 9 8 7 6 5 4 4 5 7 8 8 7 6 5 4 3 2 3 5 8 9 9 7 5 3 3 5 7 10 11 12 11 9 7 6 7 8 8 8 7 7 6 7 8 8 8 8 9 10 12 12 12 11 10 10 10 11 12 11 10 9 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 11 10 7 4 2 1 1 2 2 2 1 2 4 7 9 12 13 13 13 12 10 9 10 11 12 11 8 4 1 -1 -0 2 3 4 5 5 4 4 4 5 6 8 nan
nan 13 11 10 7 7 8 9 8 7 5 2 1 2 5 7 9 11 17 30 41 45 45 40 33 27 24 21 19 17 15 15 15 15 15 15 15 15 15 15 15 13 11 9 6 3 1 -1 -2 -2 -2 -1 -1 -1 -2 -3 -4 -4 -3 -2 -0 2 5 6 5 4 3 2 2 4 8 11 11 10 8 6 5 6 7 8 9 8 8 7 7 7 7 8 8 8 9 10 11 11 11 9 8 8 10 11 11 10 9 8 7 7 7 7 7 7 6 7 7 7 8 9 10 11 11 11 10 9 8 7 6 6 5 4 3 1 1 2 4 7 9 11 12 12 12 12 13 14 15 16 14 10 6 3 1 3 5 6 7 7 7 7 6 6 7 8 9 nan
nan 15 13 10 6 3 3 3 4 5 5 5 5 6 8 8 9 11 16 26 36 41 42 38 31 27 24 21 18 17 16 15 14 14 14 14 15 15 15 15 14 12 11 9 7 5 4 3 2 1 1 -0 -2 -3 -3 -4 -3 -2 -1 1 2 3 3 2 1 -0 -1 -1 0 4 8 10 10 7 5 5 6 8 9 9 9 9 9 8 7 7 7 7 8 8 9 10 11 11 9 7 6 8 9 11 11 10 9 7 7 7 7 7 7 6 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 9 8 7 6 5 4 3 4 7 8 10 10 10 11 12 14 16 17 15 13 10 8 8 9 10 10 11 11 10 9 8 7 8 8 9 nan
nan 15 15 12 6 2 -0 -1 1 4 7 7 8 8 9 9 9 10 14 20 29 37 41 38 32 28 24 21 19 18 17 16 15 15 15 15 15 15 16 16 15 14 12 10 9 8 7 7 7 6 5 5 3 2 1 1 2 3 4 3 3 3 2 0 -1 -2 -2 -1 2 7 10 10 9 7 7 8 9 10 10 10 10 10 9 8 7 7 7 7 8 9 10 12 12 11 9 7 7 8 10 11 11 10 8 7 7 7 7 7 7 7 8 8 9 9 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 6 4 4 5 7 8 7 7 8 9 12 14 15 16 15 14 14 14 14 14 13 13 13 13 11 10 9 9 9 9 nan
nan 16 15 13 9 3 -0 -2 -0 4 7 8 8 8 9 9 9 9 10 15 23 33 39 38 34 28 24 22 21 20 19 18 17 17 17 17 17 16 17 18 18 17 15 13 11 10 9 8 8 7 6 6 5 4 3 3 4 4 4 3 4 3 2 2 1 1 2 4 7 10 11 10 9 9 9 11 12 12 11 11 11 10 9 9 8 7 7 8 9 10 12 13 13 12 10 8 8 9 11 11 11 10 8 8 7 7 8 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 8 6 6 6 7 7 6 6 6 7 9 11 13 14 15 16 17 17 16 15 14 14 14 13 13 12 12 11 10 9 nan
nan 16 15 14 10 6 2 -2 -1 4 6 8 9 8 9 9 9 9 9 13 18 26 34 36 33 27 24 22 23 23 23 23 24 24 23 21 18 17 16 16 16 15 14 12 12 10 9 8 6 5 5 4 3 2 2 2 2 3 3 3 4 4 4 3 3 4 5 7 9 10 11 11 10 11 12 13 14 14 13 12 11 10 9 9 8 7 7 8 9 11 12 13 13 12 10 10 9 10 10 10 10 9 9 8 8 8 9 10 10 11 11 10 10 11 11 12 11 11 10 9 9 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 8 8 7 7 7 7 8 10 11 12 14 15 16 16 15 15 14 14 14 14 14 13 12 11 10 nan
nan 15 14 13 11 8 3 0 1 5 7 9 9 9 9 9 9 8 9 11 14 20 28 32 30 26 22 22 25 27 28 29 31 30 27 22 17 15 13 11 9 8 7 7 7 7 6 5 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 8 9 10 11 11 12 12 14 15 15 15 14 13 11 10 10 9 7 7 7 8 9 11 13 13 13 12 11 10 10 9 9 9 10 10 9 8 8 8 9 10 11 11 11 11 10 11 12 12 11 11 10 9 9 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 9 9 9 8 8 7 8 8 9 10 11 12 13 14 14 13 14 14 14 14 14 13 12 10 nan
nan 15 14 13 11 7 4 2 4 7 9 11 10 10 9 9 9 8 9 10 12 17 24 28 26 21 17 18 24 29 31 31 29 26 21 16 13 11 9 7 4 3 2 2 3 3 4 4 4 5 5 5 5 6 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 10 11 11 12 12 12 13 13 14 13 13 12 11 9 8 7 7 8 9 10 12 13 13 12 11 11 10 9 9 8 9 9 10 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 11 12 13 13 14 14 13 13 13 12 10 nan
nan 15 14 13 10 7 4 3 5 8 10 11 10 10 9 9 9 9 10 11 11 16 21 24 23 17 10 11 18 26 29 28 24 20 15 11 9 7 6 4 3 3 3 3 3 4 5 6 6 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 9 9 10 11 11 12 13 13 13 12 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 8 9 10 11 13 13 13 13 12 12 11 11 nan
nan 14 14 12 10 7 4 4 6 9 10 9 9 9 8 9 9 11 12 13 14 17 19 19 17 11 7 7 12 18 22 23 22 20 17 14 11 7 5 5 6 6 7 7 6 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 11 11 11 11 11 11 12 12 13 14 15 15 15 15 15 15 14 13 11 11 10 11 11 10 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 9 9 9 9 10 11 11 11 11 10 10 11 11 nan
nan 13 13 12 9 6 2 3 6 8 8 7 6 6 6 8 9 11 13 15 18 19 17 13 8 3 3 5 9 13 16 19 21 22 22 19 13 9 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 11 12 12 13 13 13 13 14 15 16 17 18 19 18 19 18 17 15 13 12 10 11 12 11 10 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 10 8 7 6 6 6 6 7 7 8 9 10 11 11 12 11 10 8 8 8 9 9 10 10 10 10 10 10 8 7 7 8 8 7 7 7 7 8 10 nan
nan 11 12 11 9 5 1 2 5 7 7 6 4 4 5 6 8 10 12 16 20 21 19 10 0 -3 -1 3 8 11 13 16 18 21 22 20 15 11 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 12 11 11 12 12 13 14 15 15 15 15 15 16 18 20 21 21 22 22 19 16 13 10 9 10 10 9 9 8 9 10 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 8 6 5 5 5 6 7 8 9 10 11 12 13 13 11 9 9 9 8 8 8 8 9 10 10 9 8 7 7 6 5 4 3 3 3 5 7 nan
nan 8 9 9 10 6 3 4 6 7 8 6 5 4 4 4 5 6 8 13 19 21 20 11 2 -0 1 4 8 9 10 12 16 19 21 19 15 12 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 11 12 13 13 13 12 12 12 13 14 15 15 14 14 15 16 17 19 21 22 22 21 17 14 11 8 8 9 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 9 9 9 10 11 11 11 10 9 7 6 5 6 7 8 9 9 10 11 12 13 14 13 12 10 9 8 8 7 7 8 9 10 10 10 10 9 8 6 4 2 1 2 3 4 nan
nan 3 3 5 8 9 8 9 9 9 9 9 8 7 6 4 3 2 2 6 11 16 16 11 8 6 7 8 9 9 9 11 14 17 18 17 14 12 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 11 13 13 13 12 12 11 11 11 11 11 11 12 13 13 13 13 13 13 14 15 16 18 19 18 16 14 11 8 7 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 9 9 9 9 10 10 10 11 10 9 7 6 6 7 8 9 9 9 9 9 10 12 13 13 13 12 10 9 8 8 8 8 9 10 11 12 12 11 10 8 6 5 4 5 5 6 nan
nan -2 -1 2 7 9 10 11 11 11 11 12 12 12 10 8 4 0 -2 -1 1 6 8 9 9 10 10 10 10 10 10 12 13 14 14 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 14 14 14 12 10 8 7 7 7 8 8 9 10 10 11 11 12 12 12 12 13 14 15 15 14 13 12 9 7 6 7 8 9 10 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 8 9 10 10 9 8 7 7 9 11 12 13 13 12 11 10 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 8 9 9 nan
nan -1 0 4 7 9 10 11 10 11 12 12 12 13 13 11 8 3 -1 -4 -4 -3 0 4 8 10 11 11 11 12 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 10 10 10 11 11 12 12 13 14 14 13 12 10 8 6 5 5 5 6 6 6 6 6 7 8 8 9 9 8 9 9 10 11 11 12 11 10 8 6 6 7 9 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 8 7 6 7 9 11 11 10 8 5 5 6 8 9 10 12 12 12 12 11 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 10 nan
nan 5 7 8 9 9 9 10 11 11 11 11 11 12 13 13 11 7 3 -1 -4 -5 -3 1 6 9 11 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 10 10 11 12 12 13 13 13 12 12 10 8 7 5 5 5 6 7 7 7 6 6 5 5 5 5 6 6 6 5 5 6 6 6 7 8 9 9 8 7 8 9 11 12 13 14 14 14 13 13 13 13 12 11 10 9 10 10 9 10 10 11 11 11 10 10 10 9 9 9 8 7 6 7 9 10 11 9 7 5 5 7 8 9 10 11 12 12 12 12 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 nan
nan 11 12 12 10 7 7 9 12 12 11 10 9 10 11 12 12 10 7 4 -0 -3 -2 1 4 7 9 11 13 15 14 13 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 8 7 6 6 6 7 8 8 9 9 8 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 6 6 7 8 9 10 11 12 12 13 14 14 14 14 14 13 13 12 11 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 7 6 6 8 10 10 10 9 8 8 8 8 9 10 10 11 11 11 11 11 12 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 nan
nan 13 13 12 9 6 6 9 12 13 12 11 10 11 12 12 12 11 9 6 3 0 0 2 4 6 8 10 12 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 9 8 7 7 7 7 8 9 9 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 6 5 4 5 5 5 6 8 10 11 12 12 12 13 13 13 14 14 14 14 14 13 11 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 9 7 6 6 7 8 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 10 10 9 nan
nan 12 11 9 6 4 6 9 12 13 12 10 10 10 10 10 11 11 10 8 6 4 4 3 4 6 7 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 7 6 6 6 6 6 7 8 10 11 12 12 13 13 13 14 15 16 16 15 12 9 8 8 8 8 9 9 9 9 10 11 12 11 10 10 10 11 10 8 7 6 7 8 9 10 10 10 10 9 8 8 8 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 9 nan
nan 11 10 8 6 6 7 10 13 13 11 9 8 7 7 7 8 9 9 9 9 8 8 7 7 8 9 10 11 11 11 11 11 12 12 13 14 15 16 16 15 13 12 12 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 7 8 8 8 7 7 6 7 8 9 10 11 13 14 14 15 15 16 17 15 11 8 7 6 7 8 8 8 8 9 10 11 12 11 10 10 11 12 11 9 8 7 7 8 9 9 9 9 9 9 8 8 9 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 10 10 9 nan
nan 11 11 10 9 9 10 11 12 12 11 9 8 7 6 6 8 9 10 10 10 10 9 9 10 10 10 11 11 11 11 11 12 12 12 13 14 16 17 17 16 15 13 12 12 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 8 10 12 14 15 15 15 16 17 16 13 10 7 6 7 7 8 8 8 9 10 11 12 11 10 10 12 12 12 11 9 8 7 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 nan
nan 11 12 12 11 11 11 11 11 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 12 12 11 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 8 10 12 14 14 15 16 17 17 16 14 10 8 9 9 10 9 9 10 11 11 11 10 9 10 11 12 12 11 10 9 8 8 7 7 7 7 7 8 10 11 11 11 11 11 10 10 9 10 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 nan
nan 11 12 12 12 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 7 8 10 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 11 10 10 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 8 9 11 12 13 14 15 17 18 18 17 15 14 13 13 14 14 14 13 13 12 10 9 8 9 11 11 12 11 10 10 9 9 8 7 6 6 7 8 10 11 11 11 11 10 10 10 10 11 12 11 11 11 11 11 11 12 12 13 12 12 12 11 11 11 nan
nan 11 11 11 11 11 10 10 9 9 9 9 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 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 9 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 8 8 7 8 9 10 10 10 11 13 15 16 18 18 17 17 16 17 17 17 17 16 14 13 12 10 8 9 9 10 11 11 10 10 11 11 10 9 7 6 6 8 10 10 10 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 nan
nan 11 11 11 11 11 10 10 9 9 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 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 12 11 11 11 10 10 10 9 9 9 9 9 9 8 7 7 7 7 8 8 9 11 12 13 15 15 15 15 15 16 17 17 17 17 17 16 15 12 10 9 9 10 10 10 10 11 12 12 12 10 9 8 7 7 8 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 11 12 12 12 11 11 11 nan
nan 10 10 10 10 10 10 10 9 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 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 6 6 7 7 8 9 9 10 10 10 10 10 10 10 11 12 14 15 16 16 18 18 16 14 13 12 10 10 10 10 11 12 12 12 11 10 9 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 11 12 12 11 11 11 11 nan
nan 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 8 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 9 10 11 12 15 17 17 18 17 14 13 12 11 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 nan
nan 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 8 8 9 9 10 11 11 11 11 10 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 9 10 10 11 11 10 10 9 8 7 7 7 7 6 5 5 5 5 5 6 6 6 7 10 12 15 18 18 17 16 14 12 11 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 11 10 11 12 12 13 13 13 12 12 12 11 12 12 11 12 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 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 8 9 9 10 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 9 8 8 8 8 8 7 7 6 5 5 5 7 11 15 17 17 17 15 13 12 10 9 9 10 10 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 13 12 12 11 11 12 11 11 11 12 nan
nan 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 9 9 9 8 8 8 9 10 11 11 11 11 10 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 9 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 10 10 10 10 9 9 9 8 7 6 5 3 6 9 11 14 15 15 15 14 12 10 9 9 10 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 12 12 12 12 12 12 11 11 11 11 12 nan
nan 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 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 5 3 2 3 5 9 12 14 15 15 13 11 11 10 10 10 8 8 8 9 10 11 11 10 11 11 11 10 10 11 11 11 11 12 12 12 13 12 12 12 11 10 11 11 12 nan
nan 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 9 9 9 9 10 10 9 9 9 10 12 12 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 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 10 9 9 9 10 11 11 11 11 12 11 11 11 11 11 11 11 11 10 9 7 5 2 1 4 7 10 13 13 12 11 11 12 13 13 11 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 11 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 12 12 11 11 11 12 12 12 12 11 10 8 6 4 5 8 9 11 11 10 8 7 8 10 13 14 13 10 9 8 9 10 11 11 11 11 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 11 12 nan
nan 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 10 9 9 9 10 10 10 10 10 10 12 14 14 14 12 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 12 10 9 7 7 9 10 11 12 12 10 8 5 4 6 9 12 12 11 10 9 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 10 11 12 nan
nan 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 10 10 10 10 10 10 10 10 11 12 14 14 13 12 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 12 12 13 13 12 11 10 9 10 11 11 12 14 15 14 12 8 4 3 5 9 11 11 10 10 10 10 11 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 9 10 11 11 11 nan
nan 9 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 12 13 12 12 11 11 11 11 11 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 10 10 10 10 11 11 11 10 10 9 8 7 8 8 9 9 8 7 7 6 7 7 8 8 8 9 10 10 11 12 12 11 11 11 11 12 12 12 13 16 16 17 17 14 9 6 5 6 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 11 10 10 11 11 11 12 11 11 10 10 11 12 12 11 nan
nan 9 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 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 13 12 10 8 8 7 8 9 9 9 7 7 7 7 7 7 7 7 7 8 9 9 10 10 11 12 12 12 13 13 13 13 14 14 18 20 18 15 10 7 6 6 7 8 10 12 12 11 10 9 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 10 11 11 11 11 10 nan
nan 9 9 9 9 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 9 9 10 11 11 12 11 11 10 11 11 11 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 11 11 11 11 13 14 14 12 10 9 8 9 10 10 10 9 8 8 7 7 7 6 6 7 7 8 8 9 10 12 12 13 13 14 13 13 13 12 12 16 18 18 17 14 9 7 4 4 6 9 12 12 11 10 9 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 9 9 8 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 9 10 11 12 12 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 11 11 11 11 10 10 11 12 14 14 14 12 10 9 9 10 10 10 10 10 9 8 8 7 7 7 7 8 9 11 12 13 13 14 14 14 14 13 13 12 11 12 13 15 16 17 16 12 8 3 2 4 8 11 12 11 10 10 10 10 10 11 11 10 10 10 11 12 12 11 10 9 9 9 8 7 6 7 8 nan
nan 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 11 12 12 12 12 11 10 11 11 11 11 11 10 11 12 13 13 12 11 9 9 9 10 11 11 10 10 9 8 8 8 9 10 11 12 14 14 14 14 14 14 13 13 12 11 10 10 11 12 13 15 17 17 15 11 5 2 2 6 8 10 11 11 11 11 10 10 10 10 10 10 11 12 13 14 12 10 8 7 7 7 7 7 8 9 nan
nan 9 9 10 10 10 10 9 10 10 10 11 11 10 10 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 10 10 9 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 12 13 13 13 12 11 11 12 12 12 11 11 10 10 11 12 12 12 11 10 10 10 10 11 11 10 10 9 9 9 10 12 14 15 15 14 14 13 13 12 11 10 9 9 9 9 10 10 10 12 14 16 17 17 15 10 6 5 4 5 6 8 10 12 11 11 11 11 11 11 11 11 12 13 14 12 10 8 8 8 8 9 9 9 10 nan
nan 9 9 10 11 11 10 10 10 10 11 11 10 10 10 11 11 12 12 11 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 11 12 13 13 12 12 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 12 12 12 12 11 11 10 11 11 11 10 10 11 12 12 12 12 11 11 12 12 11 11 10 10 9 10 11 13 14 15 15 14 12 11 10 9 7 6 6 6 7 9 10 10 11 12 12 13 15 17 17 16 13 11 8 6 5 4 6 8 9 9 10 11 13 13 12 11 11 12 13 12 11 10 9 10 10 10 10 10 9 nan
nan 8 9 10 11 11 11 10 10 10 11 10 10 10 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 12 11 11 11 10 10 10 9 9 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 11 11 11 11 11 11 11 9 8 8 10 10 11 11 11 11 11 12 13 13 13 13 14 14 13 11 12 13 13 12 11 10 10 12 13 13 12 11 9 7 6 5 5 6 7 9 10 11 12 12 11 11 12 14 16 17 17 16 14 12 9 5 4 4 4 5 7 9 11 12 11 11 11 12 13 12 12 11 10 10 10 10 10 10 10 nan
nan 9 9 10 11 11 10 10 10 10 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 9 9 10 10 11 10 10 10 10 10 9 7 7 8 9 10 11 11 11 11 11 11 12 12 13 14 15 15 13 13 13 15 16 13 10 7 7 9 10 11 11 11 10 8 7 6 6 7 8 10 10 11 11 10 10 10 10 11 13 15 17 17 17 16 14 10 7 5 4 3 3 5 6 7 8 8 10 11 12 12 12 11 10 10 9 10 11 11 11 nan
nan 10 10 10 10 10 10 10 10 9 8 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 11 10 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 9 9 10 11 11 11 10 10 10 10 11 12 13 14 14 13 12 13 15 14 12 9 8 8 9 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 12 13 15 16 17 17 16 14 12 10 8 6 5 3 3 3 4 4 5 5 7 9 9 10 10 10 10 10 10 11 12 nan
nan 11 11 11 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 10 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 9 9 10 10 11 11 12 12 13 14 15 16 16 15 15 14 13 12 10 7 5 4 3 1 0 0 2 4 5 6 7 7 8 9 10 11 13 nan
nan 11 11 11 11 11 10 10 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 11 11 10 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 11 12 13 13 12 12 12 11 11 10 10 10 10 11 12 12 12 12 11 11 12 12 13 14 15 15 15 15 16 16 15 14 12 10 7 5 2 1 0 -0 0 0 1 1 3 5 7 10 12 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 9 9 9 10 10 11 12 12 12 11 11 11 10 10 10 10 11 12 13 12 12 12 12 11 11 11 12 12 13 14 14 14 15 16 16 17 17 16 15 13 11 8 4 1 -1 -3 -4 -3 -2 -1 1 4 7 nan
nan 11 10 10 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 13 13 13 12 12 11 12 12 12 12 12 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 9 10 10 11 11 10 9 9 8 9 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 12 12 12 13 12 12 12 13 15 16 18 19 20 20 20 17 13 9 5 0 -3 -3 -4 -3 -2 -1 -1 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 6 8 10 11 11 10 10 10 10 9 9 8 6 7 8 9 9 8 6 5 4 4 5 6 9 15 26 65 145 261 372 434 486 535 569 564 527 486 451 421 389 362 323 279 245 244 298 327 350 346 303 226 154 124 117 123 134 140 130 125 128 139 155 170 181 197 230 273 304 283 240 210 177 141 109 76 68 60 53 51 54 54 48 38 27 17 12 13 14 15 17 22 32 42 69 117 183 258 284 267 256 281 354 473 587 647 634 557 443 465 674 915 1124 1296 1480 1505 1455 1355 1207 1042 961 1000 1074 1105 1035 864 774 804 883 885 744 506 328 219 163 124 53 28 14 16 24 25 23 21 14 8 3 2 3 5 43 116 215 303 383 343 322 374 512 290 281
5 6 7 8 9 10 9 10 10 10 9 7 7 5 6 7 7 8 9 7 5 4 3 3 4 6 9 13 25 53 125 255 364 452 523 567 571 538 510 498 486 452 408 359 318 286 264 281 314 351 371 350 276 197 148 126 126 136 136 132 129 130 138 152 173 188 208 251 309 340 294 246 203 162 120 94 63 46 39 40 41 45 45 41 34 27 19 13 11 9 8 8 13 27 46 80 126 175 233 231 210 212 259 336 425 483 513 500 414 320 344 469 636 812 1008 1191 1300 1324 1243 1064 903 864 873 909 946 940 847 751 742 751 658 472 300 196 138 97 50 23 19 14 9 10 10 5 8 11 10 4 5 3 3 16 53 139 171 194 204 218 265 239 206 224
5 6 7 9 10 10 10 10 10 9 8 6 7 7 6 5 4 5 7 7 6 5 4 2 2 4 6 9 14 23 45 137 261 387 497 557 559 536 522 525 521 491 433 370 320 290 273 284 306 341 369 358 299 230 178 151 146 151 152 150 144 142 147 158 178 197 220 275 375 370 308 246 198 157 108 83 59 39 30 33 34 34 34 31 26 23 18 13 9 6 4 3 8 20 45 83 126 158 183 183 179 188 227 292 356 393 406 394 296 238 259 344 471 627 833 1026 1131 1125 1038 872 772 750 733 706 741 807 791 724 669 630 482 315 191 121 92 64 38 19 12 7 3 4 3 2 5 10 16 12 9 5 1 5 23 70 88 82 69 107 157 182 198 210
5 6 8 8 9 9 10 10 10 10 8 7 6 7 7 7 6 4 5 6 7 7 6 3 2 3 4 6 9 13 24 70 156 276 417 488 497 490 498 528 564 545 474 384 305 258 263 302 347 381 387 360 306 250 207 183 175 172 171 170 167 162 165 177 197 218 244 291 399 397 312 232 189 150 109 78 52 35 31 35 32 27 25 24 22 22 18 13 8 5 2 2 6 19 45 80 107 128 148 164 180 204 231 259 286 297 273 236 191 188 232 323 438 586 753 901 974 927 849 746 651 601 581 520 531 598 616 581 527 411 251 147 89 58 44 32 19 11 7 4 3 4 4 3 4 6 14 19 22 18 6 16 31 46 59 69 40 64 101 133 148 152
5 6 7 8 8 9 9 10 10 9 8 7 6 7 7 7 7 6 5 5 5 7 7 5 4 3 3 4 6 9 16 36 79 153 298 397 443 461 486 542 626 623 551 437 313 232 251 317 388 432 429 374 314 261 223 204 195 189 187 189 191 188 195 211 227 245 273 298 343 368 302 211 178 145 114 87 65 51 49 44 36 28 22 21 24 21 14 7 4 3 2 3 6 18 44 78 99 114 137 167 192 214 215 197 180 173 143 124 140 188 264 373 495 623 771 896 918 836 743 651 551 462 428 390 366 378 370 309 196 75 43 44 40 30 25 21 14 8 6 4 4 5 4 3 3 4 11 25 42 54 48 55 63 68 67 68 47 51 69 81 81 78
5 7 7 8 9 9 8 8 8 7 7 6 6 6 6 6 7 7 7 5 4 5 7 7 6 5 4 4 5 7 11 20 37 75 191 308 404 473 515 575 654 682 641 535 372 260 263 332 415 473 468 399 336 289 253 223 211 197 193 197 199 205 218 236 253 274 307 336 367 358 289 204 171 147 126 103 78 74 75 61 50 40 27 29 35 27 15 7 4 2 3 10 20 30 54 80 96 110 133 166 195 190 160 121 90 81 83 101 153 242 357 484 591 703 803 828 768 746 691 597 502 424 370 316 273 227 163 107 51 32 28 33 31 19 12 10 9 7 6 5 6 5 3 4 5 6 14 32 62 85 93 92 84 68 57 47 41 39 37 46 44 39
4 6 7 8 8 7 7 6 6 5 5 5 6 6 6 6 6 6 7 6 5 5 7 7 6 5 4 3 4 5 7 11 19 46 119 222 339 456 527 591 658 706 709 638 456 327 295 341 424 498 489 426 365 322 281 235 216 207 207 210 208 214 230 249 269 298 339 368 422 385 254 178 170 154 134 111 85 85 86 72 59 53 43 44 41 29 17 12 7 4 5 11 23 39 60 79 89 99 119 146 159 139 102 71 58 63 84 131 218 346 490 601 665 713 758 707 642 664 641 550 454 366 322 269 205 147 85 51 35 32 34 34 31 23 16 13 13 10 7 8 8 6 7 11 16 19 22 28 63 89 103 103 83 58 43 35 32 31 29 31 28 22
4 4 5 5 5 5 4 5 4 3 3 3 4 5 6 5 5 6 6 7 7 7 8 8 7 5 4 3 3 4 6 8 13 30 71 141 245 385 476 548 618 686 738 677 519 388 324 335 405 494 498 456 394 330 286 242 219 209 204 199 210 222 242 266 292 331 373 380 351 291 205 161 151 135 117 104 98 97 89 80 76 72 63 53 40 30 25 20 12 9 12 19 27 35 47 62 71 74 90 118 124 100 63 46 52 69 105 177 299 455 586 654 667 656 631 595 564 568 576 521 419 302 229 187 144 115 81 59 47 43 43 40 36 31 26 25 20 19 22 23 14 11 14 20 29 39 46 53 65 79 95 110 85 61 41 27 23 22 23 22 19 16
2 2 2 2 3 3 3 3 2 1 1 1 2 3 5 5 6 6 7 7 7 8 8 8 8 6 4 3 3 4 5 6 9 18 35 71 145 279 391 484 569 657 736 690 580 456 359 323 377 451 486 469 406 326 271 227 204 201 206 218 234 247 264 287 318 347 369 356 304 237 191 145 118 106 101 98 106 103 98 96 93 89 75 61 50 40 31 31 26 23 23 21 19 23 32 40 44 47 64 80 78 58 40 39 53 86 146 239 360 480 568 607 607 597 576 544 530 534 531 464 361 255 172 117 96 89 76 62 55 60 61 56 49 44 42 36 32 34 35 29 14 14 18 23 26 41 58 67 67 62 86 102 96 75 45 26 22 20 19 17 17 15
1 1 1 1 2 2 2 1 0 0 0 1 1 2 4 5 6 7 7 7 7 8 8 8 9 8 7 6 4 4 5 6 8 11 17 34 93 200 319 427 520 621 702 707 640 519 387 341 361 408 449 447 372 311 262 231 222 230 223 225 234 250 270 293 328 342 333 295 233 163 143 124 110 100 90 68 79 90 93 94 92 89 80 71 63 44 34 38 42 41 33 19 16 22 27 27 27 39 56 64 54 40 39 48 75 125 202 288 357 416 463 495 507 506 493 471 459 458 434 375 292 208 142 93 79 73 67 61 64 71 72 67 61 56 51 47 44 40 33 18 11 16 27 35 37 48 59 68 72 66 95 121 126 96 56 35 22 15 14 14 13 13
0 0 0 1 2 2 3 1 1 1 1 1 1 2 3 4 6 7 7 7 8 8 9 9 9 10 9 8 6 5 5 6 7 8 12 20 61 139 251 371 471 578 667 709 675 558 422 355 341 367 403 409 332 295 270 251 234 242 241 237 234 238 265 292 319 317 284 229 182 131 113 109 105 99 111 115 100 82 73 81 89 84 71 59 52 35 31 36 45 53 41 26 21 21 21 20 28 40 51 52 38 27 37 65 110 169 228 262 288 313 341 371 377 368 351 336 331 326 310 283 243 188 132 88 68 61 60 62 65 72 73 67 59 53 48 43 37 29 19 12 11 21 36 41 43 47 57 72 74 76 103 144 172 117 71 43 29 20 13 11 10 13
0 0 0 1 2 3 4 3 2 1 1 0 1 2 4 5 7 8 7 8 9 10 10 10 9 10 10 10 9 6 6 6 6 8 10 15 34 84 174 293 406 517 615 683 678 543 414 343 322 338 368 365 320 291 279 270 236 263 269 255 230 217 265 290 301 291 254 193 153 121 108 109 112 109 116 109 93 77 66 76 79 71 55 40 41 30 24 26 35 57 46 33 23 17 16 19 29 38 39 29 20 23 47 89 143 201 215 214 213 219 229 240 229 206 188 180 181 182 179 166 143 137 113 88 69 61 67 75 81 81 75 64 57 50 43 35 26 20 19 18 21 28 34 39 45 53 59 64 65 81 118 168 194 145 89 49 36 24 18 15 13 14
0 0 0 0 1 3 5 5 4 3 3 3 3 4 6 7 8 9 9 9 10 11 11 11 10 10 10 10 9 7 6 6 6 7 8 11 16 48 115 210 317 437 554 638 643 513 398 344 326 319 318 311 302 297 290 273 249 264 279 271 232 195 228 262 274 252 212 162 131 118 116 118 121 118 115 108 103 99 85 79 72 63 49 27 21 16 13 13 15 30 27 19 13 8 11 17 26 33 35 27 22 33 61 103 156 188 182 161 148 148 143 131 108 83 80 90 88 87 87 89 100 113 112 99 78 72 82 88 88 80 69 54 41 31 25 22 15 14 13 10 9 13 22 33 41 43 53 60 69 87 129 180 196 169 118 66 44 29 25 23 19 17
0 0 0 0 1 3 4 5 5 5 6 5 5 6 7 8 9 9 9 9 10 10 11 10 9 9 9 9 9 7 6 6 6 6 6 8 12 27 63 126 212 335 473 580 591 480 378 325 308 289 268 275 289 303 313 290 265 256 269 278 229 188 202 235 240 190 157 131 117 112 115 117 123 126 126 124 123 114 99 81 63 46 26 13 7 4 4 4 6 13 17 16 8 6 9 14 21 26 27 25 27 40 66 105 156 166 144 116 98 94 84 70 53 35 41 49 50 47 48 62 88 114 126 118 93 88 91 91 83 63 46 31 18 9 4 7 8 9 8 3 3 7 15 24 30 35 51 63 66 72 121 172 196 183 137 89 60 40 31 31 27 24
1 0 0 0 1 3 4 5 5 5 6 5 5 6 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 6 5 6 5 6 9 15 32 70 131 238 376 503 536 445 363 319 289 250 229 249 278 292 311 297 269 243 236 252 206 162 146 137 115 113 110 104 102 104 110 116 124 129 130 123 110 100 86 67 42 23 9 3 2 1 1 1 3 7 10 11 9 8 7 10 16 14 15 19 26 39 62 103 132 130 105 83 64 56 54 54 51 44 36 33 34 36 43 61 83 105 123 117 99 87 78 66 54 34 18 9 6 4 3 4 5 5 5 3 4 6 10 14 20 31 45 54 52 61 99 149 183 176 138 103 77 58 47 42 36 34
7 4 3 3 3 4 5 5 4 4 5 5 6 7 8 8 9 9 9 9 8 10 10 10 10 10 9 10 11 10 8 6 5 4 4 5 7 10 18 36 83 168 287 415 489 436 358 316 277 239 208 223 266 286 290 282 265 238 203 180 128 89 79 91 95 93 93 98 106 112 121 131 136 131 118 99 79 62 49 38 19 8 4 3 2 1 1 2 3 6 12 12 9 7 6 7 10 9 11 17 22 34 54 83 101 99 82 64 50 45 50 60 51 37 27 25 29 36 51 67 80 94 110 98 78 58 41 28 19 10 4 1 3 3 3 4 4 3 3 3 4 5 6 9 16 26 36 45 43 57 84 118 155 155 136 115 94 77 63 53 50 54
17 13 12 11 9 8 8 7 5 4 4 5 6 7 8 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 8 6 5 4 4 5 6 9 13 24 56 117 213 342 413 413 372 325 284 246 213 210 241 257 254 258 254 227 172 107 64 47 53 70 81 93 101 108 119 125 135 137 129 112 86 64 44 27 16 11 5 2 2 2 2 2 3 3 4 7 12 9 7 6 5 5 6 9 13 16 16 25 39 58 76 88 77 63 55 54 57 58 45 32 26 26 34 44 57 68 75 82 80 61 39 22 9 2 1 1 1 2 3 3 3 3 3 3 3 3 4 3 3 4 7 11 21 27 39 58 91 140 155 153 141 123 105 90 79 74 73 80
33 28 24 21 15 15 14 12 9 6 6 5 6 7 7 7 7 7 6 7 7 8 8 8 9 9 9 10 10 10 9 7 5 4 4 5 5 8 12 20 38 74 158 280 361 391 377 340 287 246 220 208 205 200 201 209 207 179 131 81 50 42 53 75 97 118 130 131 125 115 104 93 82 66 50 35 20 9 4 2 2 2 2 3 3 3 4 4 6 13 13 11 9 8 7 7 8 8 10 14 15 18 27 41 56 70 74 72 68 68 67 59 51 46 43 40 45 50 55 60 55 49 36 20 7 2 0 0 0 1 2 2 2 2 3 3 3 3 3 3 2 2 2 3 4 5 14 25 42 67 109 139 146 146 140 129 119 107 106 107 101 105
47 41 35 29 24 21 19 18 17 14 10 7 5 4 5 5 6 6 6 6 6 7 8 8 8 9 10 9 9 9 8 7 6 6 5 6 5 7 11 18 29 48 126 234 331 390 392 344 284 241 218 200 184 161 147 142 128 111 88 61 43 43 61 87 110 133 152 149 120 85 58 42 32 25 19 13 8 3 2 1 2 2 2 3 4 4 5 5 8 11 12 11 11 9 9 10 11 13 12 13 15 17 24 39 56 72 83 87 81 77 72 68 64 57 49 47 45 41 34 27 20 14 8 3 0 0 0 1 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 6 13 27 47 72 100 114 120 123 130 133 132 136 144 141 130 123
42 41 37 32 27 23 21 20 21 20 15 10 5 2 3 4 5 6 6 7 8 7 8 8 9 9 9 8 7 8 7 6 6 7 7 6 6 7 10 16 26 40 102 201 313 399 395 342 288 248 221 194 173 154 139 126 106 87 72 60 51 50 62 87 114 136 148 131 100 63 34 21 14 7 4 3 3 2 1 1 1 2 2 2 3 4 4 5 6 7 7 8 10 9 9 10 11 12 14 14 15 17 23 40 58 75 87 91 80 70 62 59 57 43 34 27 22 18 11 5 2 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 1 2 2 3 3 5 5 7 17 33 52 70 85 96 104 109 121 129 133 134 141 137 138 141
33 36 32 30 28 25 21 19 23 23 18 10 4 1 1 3 5 6 8 9 9 9 9 9 9 9 8 8 8 7 6 7 9 10 8 7 6 7 10 16 26 41 88 182 313 394 387 351 305 264 230 203 183 167 153 133 106 88 79 75 73 65 64 76 91 102 106 104 81 48 22 10 6 3 1 1 2 1 1 1 1 1 1 1 2 3 3 3 3 3 4 5 6 8 8 7 7 7 7 8 9 10 12 21 34 41 43 42 37 32 28 21 15 12 9 6 3 2 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 2 3 4 4 6 8 12 18 27 40 51 63 72 79 89 93 97 99 100 99 95 93 96 99
28 31 30 29 29 28 26 21 22 19 14 9 4 1 2 3 5 7 10 11 11 10 10 11 11 10 9 8 8 8 7 7 9 11 11 9 8 8 11 16 25 42 78 158 312 381 393 369 323 271 232 205 190 180 168 146 120 102 94 95 100 89 77 70 71 78 79 74 56 31 14 6 4 2 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 2 3 5 7 6 4 3 3 3 3 2 3 3 2 3 7 7 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 1 1 2 3 5 6 7 9 12 15 19 26 36 45 52 58 67 66 63 58 52 46 42 37 33 31 28
23 26 26 27 27 27 25 23 22 19 14 9 7 5 6 6 8 9 12 12 12 12 11 12 12 11 10 9 9 8 9 10 11 12 13 12 10 10 12 17 26 39 70 140 276 366 400 386 337 278 235 204 188 183 173 151 128 113 108 108 114 104 86 65 52 45 36 25 15 8 7 3 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 3 3 3 2 2 1 1 1 0 0 1 1 1 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 1 2 3 5 7 9 9 11 12 13 15 21 27 29 29 30 31 29 26 22 17 8 6 6 6 5 5
18 19 19 20 21 20 19 21 24 22 18 15 13 11 10 10 11 12 12 12 12 12 12 13 13 12 11 10 9 10 11 12 13 14 14 14 13 12 13 18 26 39 65 133 240 341 398 390 343 289 246 214 194 190 176 152 128 111 106 106 102 87 64 43 32 20 11 5 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 3 4 6 7 7 7 7 6 8 11 13 13 12 11 10 8 6 5 3 1 1 1 2 3 3
13 12 12 13 15 17 20 25 28 28 25 24 21 16 12 11 10 10 10 10 12 13 12 14 16 16 16 15 14 15 16 15 16 16 17 16 15 14 16 20 29 43 64 117 204 308 382 384 345 302 263 233 211 202 182 157 132 113 105 96 78 55 34 23 14 8 5 6 5 3 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 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 2 2 4 4 4 2 1 2 1 0 0 0 0 1 1 2 3 5
8 7 7 8 12 19 27 31 32 29 26 22 17 15 15 17 14 11 10 11 15 17 17 19 21 24 25 22 19 18 19 20 20 20 20 19 17 14 18 24 34 49 70 109 185 279 357 373 348 313 279 252 228 207 186 163 139 118 100 78 52 29 16 12 8 7 8 13 12 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 3 4 4 4 5 6 3 2 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6
4 4 5 8 12 20 27 30 29 27 25 25 28 29 30 35 38 37 30 25 34 35 35 35 34 32 32 29 28 26 24 24 25 26 26 24 21 17 20 27 38 52 74 106 171 262 341 366 354 326 294 264 235 209 187 166 144 116 86 56 31 20 13 13 15 19 24 24 18 12 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 1 2 3 3 3 4 9 13 10 5 5 5 4 4 3 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 2 3 5 7 8
2 2 3 6 10 18 21 23 28 34 34 34 36 38 41 47 53 58 62 63 64 63 63 58 48 41 38 35 34 32 29 29 30 31 31 28 23 20 22 29 40 55 77 111 167 249 327 363 363 339 307 273 242 216 195 174 148 112 74 44 27 21 18 20 27 37 38 28 15 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 1 1 1 4 10 14 12 6 4 4 4 4 3 2 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 1 2 3 3 4 6 7 7
1 2 3 5 8 15 17 22 30 36 40 41 42 46 49 53 58 63 68 73 76 77 78 75 67 55 45 40 40 39 36 34 35 36 36 32 26 23 24 30 43 59 80 113 164 242 317 356 362 345 313 280 253 233 216 194 159 111 66 39 27 23 22 25 32 40 34 22 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 2 1 1 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 1 1 1 2 3 3 4 4 5
1 1 3 4 8 11 15 24 36 33 41 45 48 49 51 58 63 67 72 75 76 76 75 74 71 64 57 52 49 45 41 38 37 38 39 35 29 25 25 33 46 61 81 109 152 230 300 344 358 347 315 286 265 252 240 216 173 117 64 36 27 24 23 24 26 27 21 10 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 2 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 1 1 2 2 3 3 3 4 6 6
2 2 3 4 8 10 13 19 29 33 38 41 47 60 60 62 68 76 80 79 77 75 72 69 66 61 55 52 54 53 50 47 46 43 43 38 31 26 25 35 47 62 81 108 148 214 279 329 354 339 309 285 271 266 256 226 171 108 58 36 31 30 27 21 19 23 23 17 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 3 2 2 2 2 2 2 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 3 3 3 3 3 3 3 3 2
2 3 4 6 9 13 15 17 18 22 23 24 31 48 44 52 67 83 89 89 87 82 75 68 64 57 50 46 47 49 50 51 54 54 52 44 35 29 28 36 47 63 83 108 151 207 267 319 347 325 302 286 280 278 261 218 157 96 52 38 37 37 31 21 16 19 21 15 5 1 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 1 3 4 4 3 3 3 2 3 3 2 2 3 2 2 2 2 2 1 1 1 0 0 0 1 1 1 1 1 1 2 1 2 1 2 2 3 3 2 2 1 1 1 1
3 3 4 7 12 16 18 17 16 16 18 21 27 39 42 49 60 72 83 88 89 86 76 66 58 50 44 41 43 45 45 44 48 54 57 55 46 32 31 37 49 65 83 110 153 208 266 315 329 316 301 290 282 273 243 193 134 78 53 42 41 41 36 26 21 19 16 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 2 2 1 1 1 1 2 2 2 2 2 2 3 3 2 1 1 1 1 1 1 1 1 0 0 0
3 3 4 7 12 16 16 16 15 17 21 29 42 55 61 61 60 61 63 65 71 76 69 57 47 40 37 39 40 42 41 39 40 48 57 61 56 45 40 45 55 70 86 113 155 210 271 311 320 316 305 292 274 247 210 169 123 77 52 42 40 39 33 30 26 21 13 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 3 2 2 2 3 2 1 0 0 0 1 1 1 0 1 1 1 1
3 3 3 6 10 13 14 15 17 22 27 34 62 82 94 95 80 71 55 44 37 33 33 33 31 29 28 32 36 37 36 33 34 42 53 60 58 51 48 53 64 75 90 116 157 212 270 302 316 318 310 295 266 232 197 159 112 77 56 46 41 36 29 25 21 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 6 5 5 5 4 4 3 3 4 4 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 3 6 9 12 13 16 21 27 35 52 78 99 110 107 81 61 42 27 16 8 13 16 18 18 20 25 28 28 28 28 30 39 50 57 56 52 50 55 68 82 101 125 162 220 259 287 311 323 311 284 251 215 177 140 105 83 69 60 46 35 27 20 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 6 6 6 6 7 7 7 7 8 8 7 7 7 7 6 6 5 4 3 2 2 2 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1
3 2 2 4 7 11 14 20 27 33 38 53 78 92 91 79 58 40 25 15 9 4 2 3 4 7 10 13 14 15 18 20 24 31 42 52 53 52 53 58 69 91 122 155 185 218 244 271 298 314 290 263 236 204 163 133 101 82 75 71 48 33 23 16 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 7 7 6 6 6 7 7 8 7 7 7 7 6 5 4 3 2 2 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 4
2 2 2 3 5 8 14 22 30 35 39 52 67 73 67 53 38 25 16 10 8 6 3 1 0 0 2 3 4 6 9 14 19 26 34 43 46 48 53 63 80 107 143 180 206 225 236 251 270 273 257 243 221 183 133 98 81 77 82 79 50 27 14 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 7 6 6 5 6 6 6 6 5 5 5 4 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 4 5 7
1 1 2 2 4 10 19 25 29 33 47 67 76 71 55 39 28 20 16 15 14 11 7 3 0 0 0 1 3 5 10 16 20 23 23 25 31 40 51 68 90 126 167 203 225 230 223 224 237 235 230 219 194 149 111 87 76 76 85 68 39 15 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 6 7 7 6 6 6 5 4 4 3 3 3 3 2 2 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 9 9
1 1 1 2 5 15 25 31 36 44 70 83 78 60 38 32 28 27 27 28 25 19 11 5 2 0 1 2 4 10 16 21 24 23 20 21 27 38 53 76 106 144 186 218 224 215 210 215 216 214 207 190 161 121 92 74 66 65 65 48 25 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 7 7 6 5 5 4 4 4 3 2 1 1 1 3 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 5 7 8 10 10 10
0 0 0 2 8 19 30 42 54 80 95 89 70 47 26 32 42 48 51 42 33 23 14 7 3 1 1 4 8 16 22 26 26 24 24 27 35 48 68 96 131 168 203 223 216 206 202 204 200 194 179 153 118 84 61 50 48 47 42 30 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 6 7 6 4 3 3 3 2 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 2 4 6 8 10 12 13 12
0 0 0 2 8 22 42 67 94 114 103 79 54 36 25 34 51 66 71 53 37 24 13 6 2 1 3 7 15 23 28 29 30 32 36 43 53 68 94 128 165 199 222 213 198 185 177 172 162 150 131 100 63 40 31 29 31 32 25 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 7 6 4 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 2 3 3 2 1 1 1 1 1 0 0 1 2 3 4 6 8 10 12 15 17 18
0 0 0 2 13 37 69 101 127 117 89 60 43 33 39 54 69 74 74 61 43 25 10 4 2 2 6 14 25 32 37 39 42 47 54 63 76 96 124 154 180 195 182 173 163 153 142 127 113 99 83 61 37 25 19 16 16 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 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 1 2 5 5 4 4 4 3 3 3 3 5 4 3 2 1 2 1 1 2 3 5 7 6 3 2 3 5 6 4 1 2 4 5 4 5 8 10 13 16 16 19 23
0 0 0 4 22 59 103 134 132 103 71 49 42 41 52 68 83 82 72 57 39 21 7 3 2 5 13 29 41 48 52 53 57 65 75 87 103 126 145 156 159 173 153 139 129 118 107 93 80 66 50 35 21 12 8 7 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 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 3 4 4 5 4 3 4 5 5 6 6 6 6 5 6 5 5 4 5 7 7 6 4 2 4 7 9 7 6 7 9 8 4 6 10 13 15 17 19 21 26
0 0 1 8 42 88 130 148 125 93 65 50 50 59 76 93 100 89 71 51 31 16 6 2 6 24 61 85 88 83 82 81 84 93 104 117 130 136 130 113 94 109 112 110 104 89 75 61 48 35 21 12 6 3 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 1 1 1 2 3 3 3 3 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 5 6 6 8 9 10 9 9 9 9 6 5 4 5 7 7 4 3 6 10 11 12 12 10 10 8 8 10 14 16 18 20 21 23
0 0 1 15 58 112 151 150 120 90 70 59 64 78 97 112 107 90 68 44 24 12 5 2 10 45 152 163 146 131 122 121 122 129 138 142 136 120 97 75 62 60 58 57 59 54 42 27 14 6 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 0 1 2 2 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 4 5 7 9 9 11 12 13 10 6 4 4 7 8 8 7 9 12 16 18 19 14 11 10 10 11 15 18 20 19 18 16
0 0 2 37 90 146 189 154 121 99 87 82 86 101 117 122 109 88 62 38 19 10 4 1 5 21 139 173 161 144 129 126 124 122 124 122 111 93 73 61 54 49 43 36 28 20 13 7 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 1 0 1 2 2 4 5 6 9 12 12 9 7 6 6 9 12 13 11 13 15 16 18 21 18 13 12 12 14 18 21 21 16 11 7
1 0 6 40 97 166 217 171 133 116 111 110 111 123 137 129 108 82 56 33 18 9 4 1 1 7 55 85 93 91 83 79 73 64 57 63 65 61 54 48 45 41 35 25 12 5 1 1 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 1 1 1 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 1 2 4 6 7 7 7 7 7 8 11 14 13 11 9 9 14 20 23 21 18 16 17 21 24 18 10 3 1
1 0 8 33 84 168 200 180 155 143 142 145 143 142 144 129 105 78 51 31 18 9 3 0 0 1 9 20 29 34 31 29 26 19 12 14 20 26 27 26 24 21 16 9 4 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 5 5 7 10 13 12 10 10 16 23 27 27 23 19 16 17 20 19 12 5 1 0
0 0 5 20 56 150 183 189 186 186 185 190 189 178 157 128 101 75 50 31 18 9 3 0 0 0 1 2 3 6 6 6 6 3 1 1 1 3 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 1 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 2 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 1 1 2 3 5 7 9 13 17 22 27 28 24 20 17 16 14 13 9 4 1 0 0
0 0 1 13 49 127 170 193 203 216 214 205 192 174 150 120 94 71 50 32 18 8 3 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 2 1 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 1 4 8 11 14 17 19 20 18 17 15 14 10 7 4 1 0 0 0
0 0 2 13 55 108 148 180 208 219 215 205 191 173 145 114 87 67 49 32 17 8 4 2 1 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 1 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 1 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 6 8 10 11 12 13 15 16 16 13 7 2 0 0 0 0
0 0 4 18 54 95 128 155 189 205 208 202 189 164 134 105 81 61 47 31 16 6 3 3 2 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 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 1 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 1 2 3 5 7 10 12 14 15 14 11 6 2 0 0 0 0
0 0 4 17 45 80 110 130 156 175 185 187 181 154 124 96 71 56 44 31 17 7 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 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 1 3 6 8 9 10 8 5 2 0 0 0 0 0
0 0 2 9 28 55 83 102 124 143 156 162 159 140 115 88 63 49 39 29 18 5 2 2 2 2 1 1 1 2 2 3 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 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0
0 0 0 2 13 31 55 78 99 118 133 139 137 126 105 80 57 43 35 28 22 7 3 1 2 1 1 1 3 6 7 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 7 20 38 55 75 94 109 116 118 113 99 75 54 39 30 26 24 13 6 3 1 1 1 2 4 6 7 7 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 4 6 7 8 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 5 14 27 37 55 73 86 92 102 106 99 78 57 40 30 26 23 16 11 6 1 0 1 1 2 3 4 6 6 5 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 5 7 8 9 10 10 7 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 3 5 6 10 21 30 44 61 70 69 81 93 95 84 64 45 30 25 20 16 12 8 4 2 1 1 1 1 2 3 3 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 0 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 5 6 8 9 10 11 10 6 3 1 0 0 0 0 0 0 1 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
1 3 4 4 4 7 20 32 46 60 62 52 56 73 86 87 74 56 36 24 17 13 11 9 8 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 2 2 4 5 6 7 8 10 10 9 5 2 1 0 0 0 0 1 1 2 2 2 3 4 5 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 2 9 22 38 55 72 60 44 38 49 68 83 82 68 48 31 20 12 9 7 7 7 7 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 5 5 7 8 7 5 2 0 0 0 0 1 2 2 2 2 2 2 3 5 6 6 6 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 1 3 18 35 54 70 75 57 39 30 33 53 73 82 76 61 44 30 21 12 8 5 4 5 6 5 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 0 0 0 0 0 0 0 0 0 0 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 5 5 4 2 0 0 0 0 1 2 3 2 2 2 2 1 2 3 4 5 7 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 2 13 33 49 60 66 62 52 40 28 23 39 57 70 72 61 46 34 26 20 14 8 3 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 3 2 1 0 0 0 0 0 2 3 4 5 4 2 1 1 1 2 2 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 19 28 32 39 49 56 60 62 64 61 52 38 29 34 43 52 55 48 38 27 19 15 15 15 12 8 4 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 1 1 1 2 2 2 2 1 1 1 0 0 0 0 1 3 4 6 5 3 2 1 1 1 2 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
47 58 66 60 53 55 59 61 59 60 62 60 49 39 35 36 40 42 38 31 21 12 6 6 11 19 17 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 3 3 2 0 0 1 1 2 2 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
55 60 62 56 55 55 55 54 56 58 60 61 52 44 39 36 39 39 36 30 23 18 13 10 12 15 15 12 7 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 4 3 2 2 2 3 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 37 41 44 51 56 58 58 56 56 58 61 59 54 48 41 43 43 40 34 27 23 19 15 11 8 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 1 1 0 1 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 24 29 40 51 60 64 62 57 56 59 65 68 68 63 51 46 40 33 26 23 20 17 14 10 6 3 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 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
9 16 26 34 41 48 56 51 53 58 63 68 70 70 65 57 46 33 22 16 16 15 14 12 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 4 10 16 22 29 40 43 49 57 66 71 73 73 71 63 51 37 24 18 15 12 11 8 6 4 3 2 2 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 7 11 14 18 26 34 44 56 67 76 82 85 84 74 62 49 32 22 16 11 7 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 8 11 16 25 36 49 64 75 83 89 89 83 72 58 42 28 16 6 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 16 24 35 51 65 75 82 84 82 76 67 52 35 18 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 2 5 9 14 24 37 49 59 67 72 75 75 71 60 44 27 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 7 9 14 20 27 38 48 56 63 69 72 66 54 38 23 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 10 12 16 22 30 39 47 54 61 61 56 45 32 17 7 3 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 1 2 5 7 8 10 11 12 14 19 23 28 38 45 49 49 43 35 25 13 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 4 6 7 8 10 12 15 17 19 26 31 34 34 34 31 24 16 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 11 13 16 19 21 21 21 19 18 18 16 13 9 4 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 3 2 2 3 5 6 7 9 12 14 16 17 18 17 16 14 13 12 9 6 3 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 1 2 2 2 2 2 3 4 4 5 7 9 12 14 15 15 15 13 11 10 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 1 2 2 2 2 1 1 1 2 2 2 3 5 6 9 11 13 14 14 11 8 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 7 7 6 4 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
2 2 2 2 2 2 3 3 2 0 0 1 2 2 2 2 1 2 4 6 9 10 10 8 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 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 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 4 3 1 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
2 3 2 2 2 3 3 2 2 0 0 0 0 2 3 2 1 1 1 2 4 5 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 2 2 1 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 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 3 1 1 2 4 4 4 2 1 1 1 1 2 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 7 5 4 2 2 3 3 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 2 2 2 2 2 2 2 2 3 2 2 1 1 0 1 2 4 5 4 3 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 5 4 4 5 6 6 6 5 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0
1 0 1 1 2 1 1 2 1 2 2 3 3 2 2 3 7 7 6 5 3 1 0 1 3 3 4 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 5 6 8 8 9 8 7 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 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
1 1 1 2 2 2 2 2 3 3 2 2 2 2 3 3 9 10 9 6 5 4 2 1 2 2 3 4 2 2 1 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 3 7 7 7 6 5 6 8 8 9 7 6 4 3 3 2 2 1 1 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 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 4 4 3 2 1 2 2 3 2 2 2 3 2 4 5 5 4 6 6 5 3 2 2 2 2 3 2 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 3 5 5 5 4 4 5 6 6 7 6 5 4 4 4 4 4 3 1 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
3 3 4 4 3 2 1 0 1 2 3 2 2 1 1 0 1 3 4 5 7 7 6 4 3 3 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 5 4 4 4 3 3 8 14 19 17 6 1 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
2 3 3 2 2 1 1 1 1 2 2 2 1 0 0 0 0 1 3 3 4 5 6 7 7 6 5 4 3 2 1 1 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 2 3 4 4 5 5 3 2 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 3 3 3 3 3 4 5 12 20 20 8 2 0 0 0 0 0 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 0 0
5 5 4 4 3 3 4 4 4 3 2 2 1 1 0 0 0 0 1 0 0 1 3 5 7 8 8 8 7 5 4 3 2 1 2 2 1 0 0 0 0 2 3 2 1 1 1 1 2 5 5 5 5 4 3 2 2 1 0 0 0 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 0 0 0 0 0 0 1 1 2 4 6 12 19 22 12 5 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
4 4 5 6 7 7 8 9 8 6 5 5 5 3 1 0 0 0 0 0 0 0 1 3 5 6 7 9 11 8 7 5 4 3 2 1 0 0 0 0 0 1 2 3 2 2 1 1 2 3 3 2 1 2 2 1 1 0 0 0 0 0 0 1 0 0 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 8 8 6 4 2 1 0 0 0 0 0 0 1 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
4 5 6 7 8 8 10 11 10 9 8 7 6 3 1 0 0 0 0 0 0 0 1 2 3 5 7 8 10 10 10 8 5 4 2 1 0 1 1 1 1 0 1 2 3 2 1 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 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 1 2 3 5 6 7 6 6 4 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 4 5 6 7 8 9 9 9 8 7 5 3 1 1 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 11 11 8 6 3 2 2 2 2 2 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 7 7 7 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0
1 2 2 3 5 6 8 8 8 7 5 4 2 1 1 0 0 0 0 0 1 0 0 0 1 1 2 3 4 8 11 11 9 7 5 3 3 4 4 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 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 1 3 5 6 6 7 7 6 6 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 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 1 2 4 5 6 7 6 5 4 2 1 1 0 0 0 0 1 2 2 2 1 1 1 2 1 2 4 6 6 8 8 9 7 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 1 1 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 1 3 6 8 9 8 7 6 6 5 5 6 6 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 4 5 5 5 4 3 2 1 0 0 0 0 1 2 2 2 3 3 3 4 3 2 2 2 2 4 6 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 11 10 9 8 6 5 5 5 7 6 4 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0