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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 5 5 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 3 2 3 3 3 4 4 3 2 2 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 6 7 7 7 7 7 8 8 7 7 5 4 4 6 7 6 6 5 4 5 5 5 5 5 6 7 8 9 8 5 4 2 2 5 12 15 11 9 8 7 3 6 13 10 6 4 2 4 9 7 3 6 8 9 9 8 4 1 -2 -1 0 0 -1 -1 2 3 2 3 4 3 1 -1 -0 4 6 4 2 2 1 1 4 7 5 2 1 3 4 3 1 -0 6 10 8 5 3 3 3 1 1 3 11 30 43 35 20 9 5 6 7 7 6 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 3 2 2 2 3 5 4 4 5 6 6 4 4 5 5 5 4 4 4 5 5 5 4 4 3 3 4 4 4 3 3 3 3 4 5 7 5 3 2 2 2 3 2 3 4 3 3 2 3 3 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 4 3 2 2 3 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 3 4 4 4 5 7 9 13 18 21 15 10 6 4 3 -0 -5 -9 -9 -8 -3 2 3 5 3 -0 -1 -2 -3 -3 -9 -15 -17 -18 -15 -11 -3 4 7 6 6 7 8 12 15 16 17 12 6 5 6 6 5 6 7 8 11 11 9 10 12 10 8 8 8 7 6 6 6 6 6 5 4 4 5 5 7 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 5 5 4 3 3 3 3 3 3 4 3 3 2 1 2 2 2 2 2 1 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 3 3 3 3 4 4 3 3 4 4 3 4 4 3 3 3 4 4 4 4 4 4 3 3 4 5 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 6 6 6 5 6 7 8 7 7 7 8 8 8 7 6 5 4 5 6 6 5 4 5 5 5 5 5 5 5 7 9 9 7 5 4 3 5 11 17 15 11 11 7 4 2 6 9 7 3 3 2 1 5 5 4 4 5 6 6 6 6 4 1 -0 -0 -1 -3 -1 1 2 0 1 3 3 4 5 3 3 4 4 2 -2 -4 -2 1 5 5 2 -0 1 2 1 -2 1 11 13 9 4 2 3 5 5 5 9 20 35 39 27 12 5 5 6 7 7 6 5 5 4 4 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 3 4 4 4 5 5 4 3 2 2 1 2 4 5 5 5 5 5 4 3 5 6 5 5 4 4 5 6 7 6 5 5 3 2 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 2 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 3 3 4 5 5 7 10 16 15 10 10 11 12 11 9 9 5 3 2 4 7 9 9 6 5 2 0 1 1 -3 -8 -9 -9 -9 -5 1 6 6 5 5 5 5 7 8 11 8 4 4 4 4 5 5 5 6 7 7 7 7 8 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 8 9 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 4 4 3 3 3 3 4 4 4 4 3 2 2 2 2 2 2 1 1 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 6 6 6 7 8 7 7 7 7 8 8 8 8 6 5 5 6 6 5 4 4 4 4 4 5 5 5 7 8 8 6 6 5 4 8 18 21 12 8 8 3 -0 -1 3 6 5 3 4 3 -2 -1 3 6 3 1 2 2 3 5 3 2 1 1 -1 -2 1 3 3 -0 -1 1 3 3 4 4 2 0 -1 -2 -3 -3 -2 -2 -1 1 2 0 -1 -1 -1 -0 7 12 7 3 1 1 4 6 8 10 14 22 29 27 17 7 4 6 7 7 6 6 6 5 4 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 3 4 4 3 4 4 4 4 4 3 2 2 2 3 4 5 5 5 4 3 3 6 10 7 5 5 4 5 6 8 7 5 5 5 4 3 4 4 4 5 4 5 4 2 2 1 -1 -0 0 -2 -1 2 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 3 3 4 4 5 6 8 8 8 9 10 10 10 11 11 10 10 8 7 7 6 5 5 6 6 3 2 3 4 3 3 3 2 2 3 4 5 5 5 4 4 4 5 6 5 4 4 4 4 4 4 4 4 5 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 7 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 2 2 3 4 4 3 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 2 2 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 5 5 5 6 7 6 6 5 5 6 6 6 7 8 8 8 8 8 8 9 9 9 8 7 6 5 5 6 5 5 4 4 4 4 4 5 5 6 7 7 6 6 6 5 8 15 15 10 8 5 2 0 0 3 6 4 3 5 7 2 -1 2 4 3 2 1 1 3 3 2 1 2 2 2 3 6 6 4 0 -0 1 1 1 1 -0 1 -1 -6 -8 -4 -1 -0 -4 -8 -4 1 3 2 1 3 8 13 9 1 -2 -1 2 5 7 10 14 17 20 20 17 10 6 5 6 7 7 6 6 5 5 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 4 3 3 4 4 4 4 3 2 2 3 3 3 4 5 4 3 2 3 7 8 5 6 5 5 6 7 6 4 4 5 5 4 4 4 5 4 5 5 5 4 3 4 2 -2 -2 -3 -4 -2 2 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 5 4 4 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 5 5 6 7 8 6 7 7 7 7 8 8 9 9 5 2 2 4 8 9 7 5 4 6 8 9 7 3 2 3 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 8 6 6 6 6 5 5 5 5 4 5 5 5 5 5 6 7 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 1 2 3 3 4 4 3 3 3 3 4 4 5 5 5 6 5 5 5 5 4 5 5 6 6 6 6 6 5 5 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 7 8 9 9 9 8 8 8 9 9 9 8 7 6 5 6 5 5 4 4 4 4 4 5 5 6 7 6 5 5 6 5 5 4 3 6 8 6 7 6 4 6 8 4 3 4 5 4 2 2 2 2 3 2 3 3 2 2 3 3 5 6 6 8 7 3 2 1 2 2 1 1 0 1 0 -4 -5 -3 -2 -2 -3 -4 -1 5 8 8 6 9 15 13 5 1 -0 1 4 6 9 12 15 17 17 14 11 7 5 6 6 7 7 6 5 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 2 3 3 4 4 3 1 1 4 4 6 6 5 5 6 6 5 4 4 4 4 5 4 5 6 6 6 6 4 3 3 3 2 0 -3 -3 3 7 6 5 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 5 5 5 4 3 3 2 2 1 2 3 4 5 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 5 5 7 12 12 8 6 5 9 14 14 13 11 9 8 7 5 3 1 0 1 3 4 4 4 3 3 3 4 4 5 5 6 6 6 5 5 5 5 6 7 8 8 7 6 5 5 5 5 5 5 4 5 5 5 5 5 6 7 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 2 1 2 3 4 5 4 3 2 2 3 3 4 4 4 5 5 4 5 4 4 4 6 6 6 6 6 6 6 5 5 6 6 5 5 6 6 6 6 5 4 4 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 6 7 8 8 9 9 9 8 8 9 10 10 10 9 8 6 6 6 6 5 4 4 4 4 4 4 5 6 6 5 5 5 5 6 5 7 8 7 2 3 10 10 5 5 7 6 6 4 3 5 4 2 3 2 2 2 4 3 3 4 3 3 5 7 5 4 3 2 2 3 3 6 6 5 5 5 4 4 3 4 4 4 7 8 6 7 9 13 13 14 13 7 2 3 4 5 7 8 11 14 15 15 15 12 9 7 6 6 7 7 7 6 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 2 2 2 3 4 4 3 2 2 3 4 6 4 4 5 5 5 5 4 4 4 4 4 4 6 6 6 6 6 4 3 3 3 3 3 0 0 6 10 8 5 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 6 6 5 5 5 6 6 6 6 6 6 5 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 2 1 1 2 4 5 6 5 3 2 2 1 1 4 3 3 4 3 3 4 5 4 4 3 3 3 4 8 12 13 12 9 11 15 17 17 14 8 5 4 4 4 3 1 -1 -0 1 2 4 4 4 3 3 4 5 6 6 6 7 7 7 6 6 6 7 8 8 7 6 6 5 5 5 5 6 5 5 6 6 5 4 5 7 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 3 2 2 3 3 4 4 4 3 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 6 5 4 4 4 4 4 4 3 2 1 1 1 1 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 2 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 9 8 8 8 10 11 11 11 10 8 7 6 6 6 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 6 10 16 15 6 1 5 5 0 3 8 9 7 5 3 5 5 3 4 4 3 4 4 3 3 5 3 3 4 5 4 1 0 2 2 3 6 11 12 10 8 8 8 10 12 14 15 13 16 16 10 9 8 10 12 11 7 3 2 4 4 7 11 13 16 17 16 14 13 11 8 6 6 7 7 7 6 5 5 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 2 1 1 3 4 4 4 3 2 4 5 6 4 4 5 5 6 5 5 5 5 5 4 5 5 6 6 5 4 4 3 4 4 4 4 3 1 1 4 6 4 4 5 5 5 5 4 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 3 2 2 2 4 5 5 4 2 1 2 3 3 4 6 5 5 5 6 5 4 4 4 5 5 4 3 5 8 10 11 12 12 12 10 6 4 4 5 5 5 7 5 1 -1 -2 -1 1 4 4 4 4 4 4 5 6 7 8 8 9 8 6 5 6 7 8 7 6 6 6 6 5 6 6 6 6 6 6 5 4 5 7 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 5 4 3 3 3 4 5 4 4 3 3 2 3 3 3 3 3 3 4 3 4 5 5 5 5 5 4 4 3 3 4 5 5 5 6 6 7 7 7 6 5 4 4 4 4 4 4 4 2 1 2 1 1 2 2 2 2 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 3 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 7 7 8 8 8 8 9 10 10 9 10 12 12 12 11 9 8 6 6 6 6 4 3 3 3 3 4 4 5 5 5 5 4 4 5 6 7 10 15 14 7 2 -0 -1 3 7 9 7 4 3 5 6 6 5 5 5 5 5 5 3 3 3 3 3 2 2 1 1 2 4 5 8 13 14 10 7 7 7 9 12 16 16 13 12 13 13 11 12 7 6 6 2 2 4 2 4 10 16 19 20 19 17 15 11 8 7 6 6 6 7 6 6 5 4 3 3 3 3 4 4 5 5 5 4 4 5 5 5 5 5 4 4 4 4 3 4 4 4 3 3 3 3 3 3 2 1 1 3 4 4 3 3 2 4 7 6 4 4 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 7 7 7 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 4 5 5 6 6 5 5 4 3 2 3 4 5 5 4 5 6 6 5 7 8 7 7 7 6 6 4 3 5 7 6 4 2 1 3 6 8 7 5 4 4 4 5 5 5 6 7 8 7 4 0 -3 -3 -1 3 5 5 5 5 5 6 7 8 10 11 9 7 6 6 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 8 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 5 4 4 4 4 4 4 4 4 3 3 4 3 4 3 3 2 3 3 4 4 5 5 5 4 4 3 2 3 3 4 4 3 3 4 5 5 5 5 4 4 4 4 4 4 4 3 2 2 2 2 1 2 2 2 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 5 5 5 6 6 5 5 5 5 6 6 7 7 8 8 9 10 11 11 11 11 12 13 13 12 11 10 8 6 6 6 6 5 4 3 3 3 4 5 5 6 6 5 4 4 4 5 5 5 8 12 13 9 4 2 5 6 6 7 6 5 5 7 7 5 4 6 6 6 6 5 3 2 2 2 1 2 2 3 5 5 6 10 13 11 7 5 4 3 3 5 10 10 7 2 2 11 11 12 7 4 4 1 3 6 5 8 16 21 23 22 22 19 15 10 7 7 6 6 6 7 6 5 4 4 3 3 3 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 3 4 4 3 3 3 3 3 3 3 2 1 1 3 4 4 3 1 2 5 8 7 6 6 6 5 6 6 6 5 5 5 6 6 7 6 6 7 6 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 3 3 5 7 7 7 7 6 5 7 7 6 6 6 6 5 4 3 4 6 9 7 4 2 3 4 4 3 3 4 4 5 5 5 5 6 8 11 12 7 1 -1 -3 -1 5 7 8 8 6 5 7 9 11 12 11 8 7 6 6 6 6 7 8 7 6 6 6 6 6 6 6 6 6 6 5 5 7 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 4 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 5 5 5 6 6 5 5 5 5 6 6 7 8 8 9 10 11 12 12 12 12 12 12 12 12 12 10 9 7 6 6 6 5 3 2 2 3 4 4 5 6 6 6 5 5 4 5 4 4 5 9 12 11 9 7 7 6 4 4 5 4 4 6 6 4 3 6 8 8 7 6 4 3 2 2 2 3 4 6 7 6 5 7 8 6 6 6 5 6 4 4 7 8 9 -0 0 7 5 5 2 2 5 4 5 7 10 15 19 21 23 23 21 18 13 9 7 7 6 6 7 6 5 4 4 4 3 3 4 4 5 5 4 4 5 5 5 5 5 6 5 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 2 1 2 2 3 4 3 2 4 8 11 12 13 10 8 7 5 5 5 5 6 6 5 6 7 8 8 8 7 5 6 5 4 3 3 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 7 6 6 7 6 6 7 6 6 6 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 5 6 7 8 10 11 9 5 7 7 6 7 7 7 6 6 6 5 5 6 5 7 7 4 3 6 11 14 11 7 5 4 4 3 3 4 4 4 4 4 5 5 6 9 13 13 7 5 3 0 4 8 9 10 8 6 7 8 11 13 13 10 7 6 5 6 7 7 8 8 8 8 8 8 7 6 6 6 6 6 5 5 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 3 4 4 4 5 5 5 4 5 5 4 3 2 2 2 1 1 2 2 3 4 4 4 4 4 4 4 3 3 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 3 4 5 6 5 5 4 4 3 4 3 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 6 6 7 8 9 10 11 12 13 13 13 13 12 13 13 13 12 10 8 7 6 6 6 6 4 2 2 3 4 5 5 6 6 6 5 6 5 4 3 3 5 10 12 12 11 9 6 5 5 4 4 3 3 5 5 3 5 8 7 9 9 8 6 5 5 4 3 3 5 6 7 5 2 3 4 4 5 6 7 11 12 9 10 16 13 0 6 11 -2 -8 -1 4 7 7 6 8 12 18 20 21 22 21 18 13 10 8 7 7 6 6 7 7 5 4 4 3 3 4 4 5 5 4 5 4 4 4 5 5 6 6 5 4 4 4 4 4 4 3 3 3 4 4 3 3 3 2 2 1 2 2 3 4 4 5 7 10 12 15 17 15 12 11 9 7 6 6 5 5 5 5 6 7 8 8 6 5 4 3 2 2 4 5 5 6 8 7 5 5 4 5 5 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 6 8 11 14 13 8 7 8 7 7 7 7 8 7 7 5 5 4 5 9 11 9 6 6 9 13 12 8 6 5 4 4 4 4 4 4 4 4 5 5 5 7 10 13 11 7 6 4 4 7 8 9 9 8 8 8 11 14 15 12 8 6 5 5 7 7 7 8 9 11 13 13 12 9 7 6 6 6 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 3 3 3 4 5 5 5 6 6 5 5 5 5 6 6 6 5 4 3 3 4 3 3 4 5 4 4 4 5 6 5 5 3 2 2 2 2 2 2 3 3 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 4 3 4 5 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 6 5 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 6 7 8 10 11 11 12 13 13 13 13 13 13 13 13 12 10 8 6 6 6 6 6 5 3 2 2 3 5 6 7 6 5 6 7 6 4 4 3 6 12 13 13 7 5 4 7 10 8 4 4 3 5 5 4 8 11 7 6 9 9 8 6 6 5 5 3 2 2 3 2 1 1 4 6 7 7 8 13 16 12 11 20 14 4 6 18 10 -3 0 6 8 8 7 9 13 20 24 23 20 16 13 10 8 8 8 6 6 7 7 6 5 4 4 3 4 4 5 5 4 4 4 4 4 4 5 5 5 6 5 4 4 3 4 4 4 4 4 5 4 3 3 3 3 2 2 1 1 2 3 4 6 7 8 9 10 12 14 14 14 13 13 12 10 8 6 6 6 5 5 5 5 5 5 5 3 2 4 6 8 8 8 10 10 7 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 5 5 5 5 4 3 3 2 1 0 0 0 -1 -3 -2 1 3 4 4 4 5 5 4 4 4 4 3 3 3 3 2 1 1 1 1 1 1 0 0 0 0 1 2 3 5 7 10 11 8 7 7 7 6 7 7 7 8 8 6 6 7 7 7 9 9 6 5 8 9 9 7 6 6 5 4 4 5 5 4 3 4 4 4 5 6 7 9 9 7 4 1 2 5 6 7 9 9 8 9 10 11 13 12 9 6 5 6 6 6 6 8 11 15 19 21 18 13 8 7 7 7 6 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 3 3 2 2 3 4 4 5 6 5 5 5 5 5 5 6 6 5 5 4 4 3 3 4 4 4 4 4 4 5 6 6 6 5 3 3 3 3 3 3 3 3 4 4 5 6 6 5 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 3 4 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 5 5 5 5 6 7 8 10 10 11 13 13 14 14 14 13 12 12 11 11 10 7 6 6 6 6 6 6 4 3 3 3 5 8 8 5 5 7 8 7 5 5 6 9 10 8 8 4 0 3 11 12 9 6 8 6 4 5 5 8 12 7 3 6 8 7 6 5 5 5 4 0 -2 -1 0 0 1 4 6 8 9 11 11 13 11 11 13 7 5 6 20 25 11 7 10 8 6 8 9 14 21 24 20 14 10 9 9 8 8 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 4 3 3 4 4 4 4 4 5 4 3 3 3 2 2 2 2 2 3 4 5 6 7 8 8 8 8 9 10 11 11 12 13 12 10 9 9 9 9 10 8 5 4 4 4 6 7 10 15 18 16 15 14 10 5 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 3 2 1 1 0 -1 -2 -4 -6 -6 -4 1 3 3 3 3 3 3 2 1 1 1 1 1 1 1 0 0 1 1 1 0 -1 -1 -2 -2 -1 -0 -1 1 1 2 5 7 7 7 6 5 5 7 7 8 8 7 7 8 7 5 5 4 4 4 6 8 7 6 6 6 5 4 4 5 5 4 3 4 4 4 5 5 6 6 7 6 6 3 2 4 5 6 7 9 9 9 9 9 9 9 8 6 6 7 6 5 5 7 10 16 22 23 20 13 7 5 7 10 11 9 8 8 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 4 4 3 2 2 2 2 3 4 4 5 5 5 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 4 3 4 6 7 7 6 5 5 5 5 5 4 3 4 4 4 5 6 6 5 5 5 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 6 8 10 10 11 12 13 13 13 13 12 11 10 10 9 8 7 6 6 6 7 7 7 5 4 4 3 5 8 6 4 6 8 9 8 5 6 9 10 5 1 3 4 1 4 14 11 7 6 8 8 3 4 6 7 9 8 3 4 5 5 5 4 4 4 3 2 1 -0 0 1 2 5 7 8 10 10 6 4 6 7 8 5 2 4 14 21 15 12 10 7 7 9 11 14 19 18 12 5 6 9 9 9 8 8 7 8 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 4 4 4 5 5 4 3 3 3 3 2 2 2 2 2 3 4 5 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 10 12 14 14 14 13 11 7 6 10 14 16 18 19 19 18 14 7 4 4 5 6 6 6 6 6 6 5 5 5 4 4 3 3 3 2 2 3 6 5 5 4 3 4 5 4 3 2 3 2 -0 1 3 3 3 3 2 1 1 1 -0 -0 -0 -1 -1 -1 -1 -1 -1 0 2 1 -1 -2 -2 -2 0 1 0 -0 1 3 4 5 6 8 8 6 7 9 12 10 9 9 7 6 6 5 4 3 3 3 6 7 6 5 5 6 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 7 8 6 4 5 5 6 8 10 10 8 5 5 5 5 5 6 5 5 5 5 6 9 12 17 18 15 8 4 3 5 11 15 14 13 10 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 6 5 4 3 2 2 2 3 2 2 3 3 4 4 4 4 4 5 5 5 4 5 5 4 4 3 4 5 4 4 4 4 5 6 6 6 6 6 7 7 6 6 5 4 4 4 4 5 6 6 6 6 6 7 7 7 6 7 8 8 8 7 7 6 6 6 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 5 6 8 9 9 11 12 12 11 11 11 11 10 8 8 8 7 6 6 6 8 8 8 7 7 5 4 4 5 6 4 4 7 9 9 8 6 7 10 8 3 2 3 6 3 6 11 8 4 8 9 10 2 2 5 6 7 8 3 2 3 4 4 4 3 2 2 2 2 2 2 3 5 7 10 9 11 10 1 -2 3 6 6 4 -0 -0 7 12 10 11 9 7 8 10 12 14 15 11 1 -2 5 10 10 9 9 8 8 8 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 3 3 4 5 5 5 5 5 4 3 3 3 3 3 3 3 2 2 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 8 10 12 12 12 13 12 9 8 10 11 12 12 12 13 12 9 5 4 4 4 5 5 5 5 5 4 3 3 2 1 -1 -2 -2 -2 -3 -5 -3 2 5 6 6 7 8 10 12 13 13 11 9 9 6 4 4 3 3 3 2 1 1 1 1 0 0 -1 -2 -1 -3 -5 -5 -4 -3 -2 -3 -2 1 3 5 5 3 4 5 5 4 5 8 10 10 10 13 15 15 14 11 8 6 6 5 4 4 4 3 5 6 6 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 5 6 7 7 6 6 5 6 8 10 10 10 4 1 3 4 5 5 6 6 5 5 5 6 8 9 9 7 4 1 1 4 9 18 26 23 12 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 6 5 4 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 5 4 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 6 5 4 3 4 4 5 5 6 7 8 8 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 4 5 5 6 7 8 9 12 13 12 10 9 9 8 8 6 5 6 5 4 5 7 8 8 9 9 8 6 5 4 5 5 4 6 9 9 9 8 7 9 10 6 3 4 6 8 5 7 4 6 2 8 11 13 3 1 2 6 7 7 5 3 4 5 6 4 2 2 2 2 3 4 5 6 8 11 11 10 12 13 8 4 5 7 6 2 -2 -1 5 10 9 9 7 5 8 11 11 12 12 6 -6 -6 6 11 10 9 9 8 9 9 8 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 4 3 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 7 6 6 6 6 6 6 6 7 7 8 8 8 8 6 5 4 4 4 4 5 4 4 3 2 1 1 -0 -2 -3 -1 -1 -2 -4 -4 -4 -3 2 6 7 8 9 10 12 15 17 15 10 10 7 5 4 3 3 3 2 2 2 3 2 2 3 2 1 0 -1 -5 -7 -8 -6 0 2 2 4 4 5 5 4 3 4 5 6 6 7 9 10 4 1 9 12 11 10 9 7 6 6 5 5 4 4 4 5 6 6 5 5 4 4 4 4 4 4 3 4 4 4 5 5 5 4 3 4 6 8 9 7 5 5 6 7 9 10 11 9 4 3 4 5 5 6 7 7 6 5 5 5 5 5 4 3 2 3 4 7 18 30 27 15 8 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 6 6 5 5 4 4 4 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 3 3 4 4 5 5 5 4 3 3 4 4 4 4 4 5 6 7 8 8 8 6 5 3 3 3 5 5 6 7 7 8 7 6 5 5 4 5 6 5 5 5 6 6 6 6 6 6 6 6 5 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 7 8 9 11 15 14 10 8 7 5 5 5 4 4 4 4 5 7 8 8 8 9 8 8 7 5 5 5 7 8 9 10 10 8 7 8 9 5 4 4 6 10 9 9 5 8 4 7 13 14 7 3 2 5 6 5 5 5 6 9 8 5 3 3 4 5 6 7 8 9 10 11 10 10 11 13 14 11 8 7 6 1 -2 -1 5 10 9 6 5 5 8 10 11 11 9 -0 -10 -4 8 12 11 9 9 9 9 9 8 7 6 5 5 5 4 4 3 4 4 4 4 4 4 5 4 5 6 6 5 4 3 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 3 3 3 4 4 5 6 6 7 7 8 8 8 7 6 6 5 4 4 4 4 5 4 3 2 1 1 1 1 2 4 6 5 4 4 3 -0 -2 1 4 4 5 6 7 9 11 12 9 4 3 3 2 1 1 1 0 -1 1 2 2 0 1 3 4 3 3 3 3 2 4 7 7 6 6 6 4 4 4 3 4 5 6 7 9 10 7 3 1 2 6 6 8 8 8 7 6 6 5 4 3 4 5 6 6 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 3 3 5 9 9 7 5 5 6 7 8 10 11 11 7 5 5 5 5 7 7 7 7 6 6 6 5 5 6 6 5 5 4 6 14 22 22 16 9 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 5 5 5 6 6 6 6 5 5 4 3 2 2 2 2 2 1 1 2 2 3 3 3 3 3 3 4 5 5 5 4 4 4 3 3 3 3 3 4 5 5 6 8 8 7 6 5 4 4 4 5 6 6 6 6 6 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 7 8 9 12 15 15 10 7 5 5 4 4 3 3 4 5 5 7 7 7 7 8 9 8 7 7 6 6 7 9 10 11 10 8 6 6 7 6 5 5 7 10 12 9 8 9 11 6 10 12 8 6 4 5 5 3 3 4 7 12 11 6 5 6 7 9 10 12 13 13 12 11 9 11 10 7 8 8 6 7 6 2 -1 0 6 8 8 5 5 6 9 11 11 10 6 -4 -10 -2 9 12 11 9 9 9 9 9 8 8 7 5 5 5 4 4 3 4 4 4 4 4 4 4 5 5 6 6 5 4 3 4 4 5 5 5 5 4 4 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 3 3 4 4 4 3 3 4 5 5 6 6 7 8 8 8 8 8 7 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 5 3 4 3 1 -4 -5 -4 -3 -1 -1 2 4 4 5 5 2 2 1 -0 -2 -3 -3 -4 -6 -5 -0 -0 -3 -1 4 6 6 8 11 12 11 9 8 9 8 7 7 6 5 6 6 5 6 9 9 9 10 10 11 7 2 3 5 7 8 8 8 7 6 5 4 2 3 4 6 7 6 5 4 4 4 4 4 4 3 3 3 4 4 5 6 6 5 3 4 5 7 6 5 5 5 6 7 9 10 10 8 7 6 5 5 6 6 7 8 7 7 7 7 7 8 8 7 7 6 7 11 12 12 11 10 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 5 6 7 7 7 6 7 6 6 5 4 4 3 3 2 1 1 2 2 2 2 3 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 6 6 6 5 5 5 5 4 4 4 4 4 3 3 2 2 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 5 6 6 8 9 11 12 15 14 9 6 5 5 5 4 3 3 4 5 5 6 6 7 7 7 8 8 7 7 6 7 7 9 10 10 9 7 6 7 6 5 6 7 7 7 12 7 7 7 13 4 5 8 8 7 4 4 4 2 2 3 6 11 9 6 7 8 10 11 14 16 16 15 14 10 9 10 7 4 4 4 6 6 6 5 4 5 7 7 7 6 6 7 9 11 10 8 2 -8 -10 1 10 13 10 8 8 9 9 9 9 8 7 6 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 6 6 4 3 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 3 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 7 7 7 6 6 6 6 6 7 6 6 7 7 7 7 6 6 5 4 3 0 -3 -2 -0 -1 -3 -4 -4 -3 -4 -4 -1 1 2 3 3 3 3 4 3 -1 -4 -6 -6 -5 -3 -0 2 3 5 7 7 7 8 10 11 10 7 4 6 7 6 7 8 9 8 7 8 10 12 11 7 6 7 6 2 2 3 4 6 7 8 8 8 6 5 3 2 2 4 5 6 6 5 4 4 4 4 5 5 4 4 3 4 4 5 5 5 6 7 4 1 2 5 5 5 4 5 6 8 10 11 11 8 6 5 5 6 6 6 7 7 7 8 8 8 9 9 9 8 6 6 8 9 5 3 8 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 4 4 5 6 6 6 6 6 7 8 8 7 7 6 6 6 5 4 3 3 2 2 2 2 2 2 3 3 4 3 3 4 4 4 4 4 3 3 4 4 3 3 3 4 5 6 6 6 5 5 4 4 3 3 2 2 2 2 1 1 2 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 5 5 4 5 6 7 8 10 12 13 14 12 8 6 6 6 5 4 4 4 5 5 5 6 6 6 7 8 7 7 7 7 6 7 7 8 10 9 7 6 7 8 7 4 6 7 3 5 10 7 7 11 14 5 1 2 7 7 4 4 6 3 3 2 4 5 5 5 8 10 13 14 14 14 14 14 12 10 9 8 5 5 6 5 5 6 6 7 7 8 9 8 7 8 9 8 10 10 8 6 2 -9 -9 4 11 12 10 7 8 9 9 9 9 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 2 2 3 3 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 4 3 2 1 0 1 2 2 2 1 1 1 0 0 -1 -2 -0 2 2 4 6 8 9 6 0 -3 -0 3 4 4 5 6 7 7 6 6 6 6 7 8 8 6 5 7 7 8 9 10 11 10 10 9 10 10 9 6 3 2 1 1 2 4 4 6 7 8 8 7 5 4 2 2 3 5 6 6 6 5 4 4 4 5 5 6 4 3 3 4 4 4 4 5 8 9 3 0 3 4 4 3 4 5 7 9 11 11 10 7 6 5 5 5 6 6 7 7 7 8 9 9 10 9 8 6 4 6 8 4 3 5 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 5 5 6 6 6 6 4 3 4 6 7 7 8 8 8 8 8 9 8 7 5 4 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 5 4 3 3 3 4 5 5 6 5 5 4 4 3 2 1 1 1 1 1 1 2 3 3 3 4 4 4 4 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 5 6 5 4 4 4 4 4 5 4 4 5 5 4 5 6 7 9 11 13 14 13 10 6 6 6 6 5 4 4 5 5 5 5 5 6 6 7 8 8 7 7 7 7 7 7 7 8 8 6 6 8 9 7 6 7 8 3 3 6 7 6 14 15 7 2 1 7 7 6 5 7 5 4 4 2 -0 1 5 9 11 13 14 13 12 12 11 9 9 9 7 4 5 5 5 5 5 6 7 8 10 11 9 8 10 10 8 9 9 7 6 3 -7 -7 5 10 10 9 6 7 8 9 9 8 8 8 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 2 2 2 3 3 4 5 6 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 4 4 5 7 9 10 10 7 3 1 -0 0 1 0 -1 -0 1 2 4 6 6 7 8 5 5 6 6 6 5 6 5 5 7 6 4 4 4 5 6 8 8 6 7 9 8 7 8 9 10 8 6 5 8 10 8 6 4 2 2 2 3 4 5 6 7 8 7 6 5 3 3 4 5 6 6 6 6 5 4 4 4 5 6 5 4 2 3 4 4 4 4 6 9 8 4 4 4 4 4 4 4 5 7 8 10 10 8 7 6 6 6 6 6 6 6 7 7 7 9 11 11 9 7 6 7 8 7 5 4 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 6 6 6 7 7 5 4 3 3 3 4 5 6 6 7 8 8 9 10 10 8 6 6 6 6 5 4 4 4 4 4 3 3 3 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 2 1 1 1 1 2 3 3 3 3 4 4 4 4 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 5 5 4 4 4 5 5 5 5 5 5 5 6 7 7 9 12 15 16 13 8 4 5 6 6 5 4 4 5 5 5 5 4 5 6 7 8 9 8 7 7 7 7 7 7 7 6 6 8 8 8 9 7 7 12 8 3 4 6 4 8 9 8 7 4 8 7 5 6 6 6 5 6 2 -1 0 4 9 11 11 12 12 12 12 11 9 8 8 7 4 2 4 6 6 5 6 9 10 11 10 10 11 11 8 7 8 8 6 4 -1 -8 -4 5 9 9 8 6 6 8 9 9 9 9 8 6 6 5 4 4 4 4 4 4 4 4 5 4 3 4 5 6 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 2 2 2 3 3 4 5 6 6 6 6 6 6 7 6 6 6 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 10 12 15 18 13 6 3 1 -1 -2 -1 1 3 5 4 0 1 2 2 4 5 6 7 6 6 6 6 6 6 8 8 6 4 4 5 6 6 6 5 7 7 5 3 4 5 7 8 7 5 4 6 7 8 7 5 3 3 3 3 4 5 6 7 7 7 6 5 4 5 5 5 5 5 6 6 5 5 4 5 5 6 6 4 1 2 5 5 4 4 5 6 6 5 5 5 5 4 4 5 5 6 7 8 8 8 7 7 6 6 6 6 6 6 6 7 10 12 13 11 9 9 10 9 8 7 5 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 6 6 7 7 7 5 4 3 2 2 3 4 4 4 5 6 6 7 8 8 7 7 7 7 7 7 6 5 4 4 4 3 2 3 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 4 4 5 6 7 7 5 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 6 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 8 11 17 21 20 12 4 2 4 5 5 5 5 5 4 5 5 5 5 5 6 7 8 10 9 8 7 7 8 7 6 6 6 9 10 9 7 8 5 3 9 10 8 6 5 5 4 4 6 7 6 7 6 4 5 5 7 4 4 2 -1 0 4 8 9 10 10 11 11 11 10 8 8 8 7 5 4 7 10 7 5 6 8 9 9 10 11 12 10 6 6 7 7 6 5 -2 -9 -4 5 8 8 8 6 6 7 8 9 9 9 8 7 6 5 4 5 5 5 4 4 4 4 5 4 3 4 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 2 2 2 3 3 3 4 5 5 5 6 5 5 5 6 5 5 5 5 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 12 15 17 19 16 12 10 6 3 2 3 4 5 3 0 1 2 1 3 6 6 6 6 6 5 5 6 7 7 9 8 7 6 7 7 7 7 6 4 4 2 2 2 3 7 11 10 6 3 3 5 8 9 6 3 3 3 4 4 4 5 6 7 7 7 6 6 5 5 4 4 5 7 7 7 6 5 4 5 5 6 7 4 3 6 5 4 3 4 5 5 5 5 5 4 4 4 4 5 5 6 7 7 7 8 8 8 7 6 6 6 6 6 7 9 12 12 12 10 10 10 9 8 7 8 8 7 5 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 5 6 6 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 7 7 7 6 5 4 3 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 4 4 5 7 8 7 5 4 2 3 3 3 4 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 8 8 7 6 6 5 6 6 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 9 9 17 32 38 28 9 -2 -1 2 4 4 5 5 5 5 5 5 5 4 5 6 7 9 9 10 8 8 8 7 6 6 7 8 11 9 7 7 7 6 -0 3 7 10 7 5 5 3 4 6 5 4 6 7 5 4 5 4 2 1 1 -1 1 5 7 8 8 8 9 10 10 9 7 6 5 5 6 8 13 12 6 4 4 2 2 5 8 11 12 8 5 5 6 6 6 5 -0 -5 -3 2 6 8 7 6 6 8 9 9 9 8 7 6 6 5 4 5 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 4 3 3 3 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 7 7 8 7 8 7 7 6 7 8 8 8 8 8 8 9 9 10 12 12 14 16 17 17 17 15 11 9 8 5 4 4 5 6 5 5 7 8 7 7 6 4 5 5 5 7 8 10 12 11 10 11 12 9 7 4 3 3 2 2 3 6 10 10 7 3 3 4 7 8 7 4 2 3 4 4 4 4 5 6 6 7 7 7 6 5 4 4 5 6 7 7 7 6 5 5 5 5 5 6 5 6 6 5 4 4 4 5 5 5 5 4 5 4 4 5 5 5 6 6 6 7 7 8 7 7 6 6 5 5 6 8 11 13 11 8 8 7 6 5 6 9 12 13 8 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 3 4 4 5 5 6 5 5 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 5 5 5 4 3 3 3 3 4 5 8 9 7 5 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 8 7 6 6 6 7 6 5 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 5 5 4 5 5 5 5 5 6 6 5 5 4 4 5 7 8 10 13 27 46 49 29 1 -11 -6 1 3 3 4 5 6 6 6 5 5 4 4 6 7 9 9 9 8 7 7 7 6 7 9 11 10 7 5 7 9 11 3 2 5 7 6 5 3 2 5 5 5 5 6 7 7 6 4 2 0 -1 -0 1 2 4 6 8 7 6 8 9 8 7 6 4 4 3 4 7 11 8 2 2 2 -4 -3 3 4 9 11 7 5 3 4 5 7 5 1 0 -1 0 5 7 7 5 6 7 9 9 8 8 7 6 5 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 4 5 5 5 4 5 5 5 4 3 3 4 4 4 4 4 5 5 6 6 7 7 7 7 6 6 6 6 6 7 7 7 8 8 7 8 8 8 8 8 9 12 14 18 20 19 15 14 11 12 15 13 9 8 8 7 8 9 10 10 7 8 9 6 8 9 11 14 15 13 10 8 7 6 5 4 4 3 2 3 5 7 9 7 4 3 3 4 6 6 5 3 4 4 4 3 4 4 5 5 7 7 7 7 6 4 4 5 6 7 8 8 7 6 6 5 5 4 4 5 7 7 7 5 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 7 9 11 10 7 7 5 3 2 3 7 12 13 9 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 5 5 3 2 3 4 6 8 8 6 4 3 4 3 3 3 3 2 2 2 3 3 3 3 3 2 2 2 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 8 7 6 7 7 6 5 5 4 4 4 5 5 5 5 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 5 4 4 4 6 7 8 11 18 29 38 35 17 -7 -18 -11 -0 4 4 4 5 6 6 6 6 5 5 5 6 8 9 10 10 8 7 7 7 7 9 12 11 8 6 6 8 10 12 9 6 5 5 4 3 2 4 7 6 5 6 7 7 8 7 4 2 -0 -2 0 2 3 4 5 7 7 6 7 9 7 6 6 4 5 6 4 4 7 5 -2 -0 2 -5 -4 1 4 13 15 9 4 -1 1 5 8 8 5 4 4 3 4 7 7 6 6 7 8 8 8 7 7 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 5 5 6 5 4 3 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 7 9 11 14 15 14 13 13 14 19 22 19 13 13 11 11 12 12 15 13 13 14 13 12 12 10 9 10 8 6 5 5 5 4 4 4 4 3 2 3 6 8 7 5 3 2 2 4 6 6 5 5 5 5 4 3 3 3 4 5 7 7 7 6 5 4 5 6 7 7 8 7 7 7 6 5 4 4 5 6 8 7 7 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 5 5 5 7 8 10 10 9 6 4 2 2 5 10 11 10 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 2 3 2 2 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 4 4 5 6 7 7 6 4 3 3 3 5 8 8 6 4 3 3 2 3 3 3 2 3 2 2 3 3 2 2 2 2 2 2 3 3 4 4 3 4 4 5 5 5 5 6 6 6 6 7 7 7 6 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 5 5 4 5 5 5 6 6 6 5 4 4 5 6 8 10 14 19 22 22 15 6 -7 -20 -14 -1 5 5 5 5 5 6 6 6 5 6 6 6 8 10 11 10 8 7 6 6 7 11 11 8 6 7 9 7 7 8 7 3 3 7 5 4 5 7 8 5 5 7 7 7 8 6 3 1 -1 -0 2 3 3 4 5 6 6 6 7 7 7 5 5 6 10 11 4 2 5 4 -3 -0 3 -1 -2 1 8 18 18 10 3 -4 -2 3 9 14 9 4 6 5 5 7 7 7 6 7 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 2 3 3 2 2 2 2 3 4 5 6 7 8 9 9 9 10 12 16 19 17 15 14 13 11 10 12 11 10 10 10 9 9 7 5 5 5 5 5 5 5 4 5 5 5 4 3 3 5 6 6 4 3 1 1 3 6 7 7 5 5 5 4 3 2 3 3 4 6 6 6 6 5 5 5 5 6 6 7 8 8 7 6 6 5 4 4 5 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 6 8 11 11 10 8 7 6 6 9 9 9 6 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 3 3 3 3 3 3 2 2 2 3 2 2 3 2 2 3 3 3 3 3 3 3 3 4 4 3 2 2 2 3 3 4 4 4 3 3 3 3 2 3 3 3 3 3 4 4 4 5 6 7 7 5 3 3 3 5 7 7 5 3 3 2 3 3 4 4 3 3 3 3 3 3 3 2 2 1 1 2 3 3 3 3 3 3 4 5 4 5 5 5 5 6 6 6 6 6 6 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 4 5 5 7 9 13 18 21 18 12 1 -3 -5 -14 -11 1 5 6 6 6 6 6 5 5 5 6 7 7 8 11 12 11 8 6 4 5 8 9 9 7 7 9 12 9 9 7 5 -1 2 6 7 8 7 7 5 3 7 8 8 8 8 5 3 1 1 1 3 3 3 4 5 5 6 5 6 7 6 4 5 8 14 13 1 1 5 1 -1 2 4 5 7 10 15 19 17 10 3 -4 -5 2 12 19 11 4 5 5 5 7 7 6 6 6 7 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 3 3 3 4 5 5 5 6 7 7 8 7 6 6 6 6 6 6 5 5 6 6 5 4 4 3 3 2 2 2 1 2 1 1 1 2 2 2 2 1 2 3 3 4 4 5 5 5 5 6 6 6 7 9 10 10 11 9 7 6 6 6 4 5 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 3 3 4 5 5 4 3 2 1 2 5 8 8 6 4 3 4 5 4 3 3 4 5 5 5 6 5 5 5 5 5 6 7 8 8 7 7 6 5 4 4 4 5 5 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 5 5 6 8 10 10 10 10 10 9 9 8 7 5 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 9 8 7 6 5 5 5 5 4 2 2 2 1 1 1 1 2 2 3 3 2 2 1 1 2 4 6 6 4 3 2 1 2 3 3 4 4 3 3 2 2 2 2 3 3 3 3 3 3 4 4 6 6 5 4 3 4 6 7 6 4 2 2 3 3 3 4 4 4 4 5 4 4 3 3 3 2 1 1 1 2 2 3 3 4 4 4 4 4 4 5 4 4 5 5 6 6 6 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 4 4 5 6 6 6 5 5 5 6 7 8 12 19 23 21 15 7 -9 -13 -7 -7 -3 3 5 6 7 7 7 6 5 5 6 7 7 8 9 12 14 12 8 4 3 6 8 8 7 7 7 8 9 7 10 7 6 1 3 4 7 10 10 5 2 3 6 7 9 9 8 6 4 3 2 2 3 4 4 4 5 5 4 5 5 6 4 3 4 8 16 15 -2 -1 3 0 2 4 6 14 23 24 17 15 18 12 4 -4 -5 4 16 18 9 4 5 5 5 7 7 6 5 6 7 7 8 7 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 5 5 5 5 6 7 9 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 2 2 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 3 3 4 4 4 4 5 5 4 6 6 6 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 4 3 3 4 4 4 3 2 1 1 5 9 9 6 4 3 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 5 6 7 7 7 6 6 5 4 4 5 5 5 5 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 7 7 5 5 5 6 7 8 8 8 10 11 10 9 8 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 12 12 11 9 9 9 10 9 7 5 2 2 1 1 1 2 3 3 3 3 3 2 2 3 6 8 9 6 4 2 3 3 3 3 3 3 3 3 2 2 1 1 2 2 3 3 2 2 3 3 4 5 5 4 4 4 5 6 4 3 2 2 3 3 4 4 4 4 5 5 6 6 5 4 4 3 2 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 4 3 3 3 3 4 5 6 6 6 6 6 6 7 8 13 20 25 24 16 12 5 -11 -18 -9 -2 2 5 5 6 7 7 7 7 7 7 7 7 8 9 11 14 15 13 7 2 2 6 8 7 6 5 5 8 7 5 4 6 6 3 3 3 7 11 11 4 0 5 6 8 10 8 6 6 5 4 3 2 2 3 3 4 4 4 4 4 6 7 5 3 4 8 16 14 -0 -2 0 1 5 4 8 25 37 28 14 18 25 17 3 -5 -3 8 18 14 7 6 6 4 5 6 6 6 6 5 6 7 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 5 5 5 6 7 9 9 7 6 6 6 6 6 5 5 5 6 6 5 5 5 4 5 5 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 5 6 6 6 6 6 5 6 5 4 4 3 3 3 4 3 4 5 4 5 5 6 6 6 6 5 3 3 2 3 4 3 2 -0 0 4 7 8 6 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 5 6 6 6 6 6 5 5 4 5 5 5 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 6 5 5 5 6 5 6 6 7 8 8 8 8 7 5 4 4 5 5 6 6 7 8 9 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 12 15 13 11 10 12 15 16 15 12 7 5 4 4 4 5 5 5 6 5 5 5 5 6 7 9 9 8 6 5 5 5 4 3 3 3 3 3 2 1 0 0 1 2 2 2 2 2 2 2 3 4 5 5 4 4 5 4 3 2 2 2 3 3 4 4 4 4 4 6 7 7 6 6 5 4 3 2 2 2 2 2 2 3 3 4 4 4 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 4 4 4 3 3 4 4 5 6 6 6 6 6 7 8 13 21 26 24 18 13 12 7 -10 -18 -8 1 4 5 6 6 6 7 7 8 8 8 8 8 9 9 12 16 17 13 5 0 2 6 7 6 6 6 5 1 1 6 6 5 2 2 3 4 7 9 9 8 3 4 7 10 9 5 3 3 4 4 4 3 2 2 2 3 4 4 4 4 5 7 6 5 5 8 12 9 4 -0 -1 3 6 3 8 25 31 20 17 28 31 18 3 -5 -2 12 17 10 6 8 7 4 4 7 7 6 6 5 5 7 7 6 7 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 4 4 4 5 4 5 4 4 4 4 4 4 4 4 5 4 5 4 4 4 3 3 3 3 4 3 3 3 4 5 4 4 4 3 3 4 4 4 6 7 8 9 8 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 5 4 3 2 3 4 4 2 -2 -4 -3 3 6 6 6 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 4 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 7 5 3 3 3 4 4 5 6 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 5 9 10 9 7 7 9 13 17 20 19 14 10 8 9 10 11 11 10 8 7 6 6 7 7 7 8 8 8 7 8 8 6 5 5 5 5 3 3 2 1 -0 -0 1 2 3 2 3 2 2 2 2 4 5 4 4 4 4 4 3 2 1 1 2 3 3 4 4 4 4 5 6 7 7 7 7 6 4 3 2 2 2 2 2 3 3 3 3 4 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 5 4 4 4 3 4 4 5 6 6 7 7 7 8 9 12 21 29 26 16 12 13 10 4 -9 -13 -4 4 6 7 7 6 6 6 7 8 8 8 9 9 10 10 14 18 16 10 2 0 3 5 5 4 4 7 8 0 -4 3 9 8 4 3 4 5 6 7 6 9 8 5 7 9 8 5 3 3 4 4 4 2 3 2 2 2 3 4 4 4 6 7 6 5 5 9 10 4 4 4 2 6 5 -2 -1 9 17 18 28 39 31 15 3 -3 3 15 15 8 5 8 6 3 3 6 7 6 5 5 5 6 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 4 3 3 3 3 4 5 5 4 4 3 3 3 3 4 5 6 7 8 8 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 5 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 5 4 4 4 5 6 6 4 -1 -6 -8 -2 5 7 7 6 5 6 6 6 5 4 3 2 2 3 4 4 4 4 4 4 3 3 3 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 5 4 5 5 5 5 6 6 5 5 5 5 5 6 6 6 7 8 9 9 9 8 5 3 2 3 3 4 5 6 6 6 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 3 4 4 3 3 2 3 6 12 16 16 14 11 10 11 13 15 15 12 8 6 6 7 7 7 7 7 8 8 9 9 9 7 6 7 8 7 5 4 2 1 0 1 2 3 4 5 5 5 4 2 2 3 4 4 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 5 5 6 8 9 8 6 5 4 3 3 3 3 3 3 2 2 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 4 4 3 4 4 5 7 7 8 8 9 10 12 17 25 28 19 9 9 13 0 -12 -11 -5 3 6 7 7 6 6 6 6 6 7 8 8 10 10 11 12 15 16 12 5 1 1 4 4 5 4 2 2 5 9 9 7 6 6 6 5 5 4 5 4 6 8 8 6 9 9 7 5 4 3 3 3 3 4 5 3 3 3 3 3 4 5 6 6 5 5 8 12 11 6 6 6 4 7 5 -3 -6 1 13 26 40 40 26 10 1 -1 7 15 11 6 7 8 7 4 4 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 6 6 6 5 5 4 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 5 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 5 6 6 6 5 6 5 5 5 5 4 5 6 8 9 7 2 -2 -5 -3 3 7 9 7 6 6 6 6 5 4 3 3 3 2 2 2 3 4 5 5 5 4 1 1 4 5 5 5 5 5 6 6 6 6 7 7 6 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 7 8 9 10 9 8 5 4 4 3 4 5 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 1 0 1 1 2 5 7 7 7 7 7 8 10 12 12 10 8 6 6 7 7 8 8 8 9 9 10 9 9 8 7 8 9 9 7 6 4 3 1 2 3 5 7 9 10 11 10 7 4 3 3 3 3 3 3 4 3 2 2 2 3 3 4 4 4 4 5 4 5 5 7 8 8 6 4 3 3 3 3 3 3 3 3 3 2 3 3 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 6 8 9 10 11 12 13 14 16 20 19 11 5 7 8 -7 -19 -7 3 7 7 7 6 6 6 5 5 5 6 8 9 10 11 12 13 14 14 8 2 1 1 5 4 5 7 5 4 5 5 8 11 9 6 6 6 5 3 4 5 7 7 7 8 10 8 7 4 3 3 2 2 3 6 6 5 4 4 4 4 5 5 5 7 8 10 12 12 11 8 8 6 6 6 4 -0 3 11 18 31 39 32 18 7 1 2 10 12 8 5 7 8 8 6 4 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 6 7 6 6 5 5 5 5 5 5 5 4 4 4 4 3 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 3 3 4 5 6 6 7 7 7 6 6 5 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 7 6 6 7 6 6 6 6 5 4 4 5 5 6 6 5 5 5 4 5 5 5 5 6 8 11 11 8 2 -1 -1 3 7 9 9 7 6 5 5 4 2 3 4 5 5 3 -1 0 4 5 6 7 7 5 2 4 4 4 4 5 5 5 6 6 6 7 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 6 6 6 6 6 6 7 8 9 9 9 8 7 6 5 5 6 6 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 1 1 2 3 3 2 2 2 2 2 2 3 4 5 6 6 7 7 7 7 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 7 6 5 4 4 4 6 8 10 13 16 18 15 9 5 4 4 3 3 3 4 3 3 2 3 4 4 5 4 5 4 4 4 4 5 6 6 7 5 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 3 5 6 8 10 11 12 13 14 14 12 13 13 10 5 3 6 4 -4 -8 -0 6 7 6 6 5 5 5 5 5 5 6 8 9 11 12 13 13 13 12 9 4 2 2 5 3 5 9 6 8 10 4 1 6 9 7 7 6 4 3 4 6 8 8 8 9 10 8 5 4 3 4 3 2 3 6 4 3 3 4 4 6 6 6 7 9 11 12 12 11 11 9 8 7 7 4 2 4 12 15 19 30 31 23 13 6 3 4 8 8 5 6 7 8 7 5 4 6 6 5 6 7 7 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 6 7 7 7 7 6 6 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 5 4 4 4 5 5 6 6 5 5 5 4 4 4 4 3 4 6 8 9 10 7 2 -0 3 6 9 8 7 6 5 4 3 2 2 5 7 7 7 3 1 4 7 7 7 7 8 5 3 4 4 4 4 5 5 6 6 6 7 6 6 5 5 5 5 5 5 5 4 4 3 3 4 4 5 5 6 6 6 6 6 6 6 7 8 8 8 9 9 9 9 8 8 7 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 1 2 2 2 2 3 3 3 2 1 1 1 1 1 1 1 2 4 5 6 6 6 7 7 6 5 5 6 6 9 10 11 10 9 8 7 7 8 7 7 7 6 6 6 7 8 10 14 18 18 14 10 8 7 5 3 3 4 4 4 3 3 4 4 4 5 5 4 4 4 4 5 5 6 6 5 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 5 4 4 4 4 4 5 6 9 14 13 12 13 13 10 10 10 10 8 5 4 4 2 1 3 5 7 6 5 4 4 4 5 5 5 5 6 7 9 11 13 15 14 12 10 8 3 -0 2 5 2 3 6 6 6 8 10 7 5 5 7 9 7 5 5 5 6 7 7 8 9 9 6 2 2 3 4 4 3 4 4 2 1 2 4 5 6 6 6 8 11 14 12 10 11 10 8 7 7 7 4 -1 7 18 14 18 26 24 16 8 4 2 4 6 6 4 6 8 10 9 5 4 5 6 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 4 5 5 5 4 4 3 3 3 3 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 4 4 5 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 6 7 8 8 8 7 6 4 3 4 4 5 6 6 5 5 5 5 5 5 3 2 2 2 2 3 5 8 6 3 3 5 7 8 7 6 5 3 2 2 4 7 8 8 8 7 4 5 7 8 6 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 4 5 5 5 6 6 7 7 7 6 6 7 8 7 8 9 9 10 10 10 8 7 7 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 3 3 2 3 3 2 2 1 1 1 1 0 0 1 2 2 3 4 4 4 4 3 3 3 3 4 6 8 10 10 9 9 8 8 8 8 9 9 9 8 7 6 6 7 8 11 14 15 13 12 10 6 3 3 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 4 4 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 3 3 4 3 2 2 3 4 5 5 5 5 4 5 4 4 4 3 4 5 8 11 15 12 10 9 9 9 9 10 14 15 9 4 2 3 5 7 7 6 4 3 3 4 5 5 6 6 6 6 7 9 14 16 16 16 13 9 7 3 0 3 5 3 1 1 3 6 7 8 10 10 8 9 10 10 9 8 6 5 5 6 7 9 7 3 1 2 3 5 4 3 4 3 2 1 2 4 5 5 6 7 10 12 11 9 10 11 10 8 7 7 6 3 -2 7 24 21 19 22 15 6 3 2 1 3 7 7 5 7 9 9 8 4 3 4 6 6 6 7 6 7 7 6 5 4 5 5 5 4 4 5 5 5 5 6 6 7 7 7 6 6 5 4 4 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 4 3 4 4 4 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 3 2 3 4 4 5 6 7 6 6 5 4 4 4 3 3 3 3 4 4 4 3 4 3 3 4 4 4 4 4 5 6 6 8 9 9 8 5 4 3 3 4 5 5 5 5 5 5 6 7 7 6 5 1 -1 1 2 2 3 4 4 3 5 7 7 6 6 4 3 2 3 5 9 11 10 7 5 3 5 8 9 7 5 4 4 4 3 3 4 5 5 5 5 6 6 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 6 7 7 8 7 7 6 7 8 8 9 9 9 10 10 9 8 8 7 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 1 2 2 2 3 3 2 2 2 2 1 1 2 3 4 5 7 8 9 9 9 8 8 9 10 10 10 9 8 7 7 6 6 9 12 13 13 11 7 5 5 7 7 6 4 3 3 3 2 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 4 3 3 3 3 4 3 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 6 9 13 14 10 7 6 7 9 10 14 19 17 4 -2 2 5 7 7 6 5 3 3 3 4 5 6 6 6 7 6 7 10 16 18 16 16 14 10 7 5 4 4 5 2 -1 -0 4 8 7 6 9 9 8 9 8 9 12 9 6 5 5 6 8 6 3 2 2 2 3 4 5 4 3 1 1 0 2 4 5 5 6 8 12 9 4 5 9 9 8 8 8 7 6 3 1 8 24 26 21 17 5 -5 -2 2 0 4 11 10 6 8 9 7 5 4 2 5 6 6 7 7 7 7 7 6 5 5 4 4 4 4 4 5 5 5 6 6 6 7 7 7 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 3 3 3 4 4 4 3 3 3 4 5 5 5 5 4 5 5 5 5 4 4 4 4 5 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 3 4 5 5 5 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 8 9 9 8 6 3 2 3 4 6 6 5 5 5 6 7 7 8 10 10 7 3 3 4 4 3 3 4 4 5 6 6 5 5 4 3 3 4 7 12 15 12 7 4 3 4 6 8 8 6 5 4 4 4 4 4 5 5 5 5 6 6 6 6 7 6 6 6 6 5 6 6 5 6 6 5 5 5 5 5 5 5 5 6 7 8 7 7 7 7 8 9 9 10 10 9 8 8 7 7 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 1 1 1 2 3 5 6 7 7 6 6 6 7 8 9 9 9 9 8 7 7 8 10 11 12 11 10 8 9 11 12 10 5 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 4 5 4 5 4 4 4 4 4 5 8 10 14 12 8 6 6 8 9 11 16 17 4 -10 -6 3 7 7 5 4 4 4 4 4 4 5 6 6 7 7 7 8 11 16 16 14 13 12 9 6 4 4 5 5 4 3 3 5 8 8 6 6 5 5 4 4 8 10 7 5 4 4 5 6 4 2 1 2 4 5 4 4 4 1 -0 -0 -0 2 4 5 5 6 8 8 4 1 5 8 7 6 8 9 8 7 8 11 17 26 29 21 11 -4 -10 -2 4 3 9 14 12 8 8 8 7 7 5 3 5 6 6 7 6 6 6 7 7 6 5 4 4 4 3 4 5 5 5 6 6 7 7 7 6 5 5 5 4 4 5 4 4 5 4 3 3 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 4 5 4 4 5 5 5 5 4 5 4 3 4 4 4 3 2 3 4 4 4 5 5 5 5 4 5 5 4 4 4 3 3 3 3 3 3 4 3 4 4 4 5 5 5 5 5 6 7 8 8 9 7 5 3 2 3 5 5 5 5 5 6 6 7 7 8 11 12 12 9 5 6 7 7 4 4 4 6 6 6 5 5 5 4 4 4 7 11 14 14 10 7 4 4 4 6 7 6 6 5 5 5 4 5 5 5 5 5 5 6 6 6 7 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 9 10 11 11 10 8 6 6 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 2 2 2 1 1 1 1 2 2 2 3 4 4 4 3 3 3 4 5 7 7 7 7 6 6 6 7 8 9 10 10 10 12 15 17 14 9 5 4 4 4 4 3 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 5 4 3 3 4 4 5 5 4 4 4 4 4 6 10 11 11 9 7 6 6 8 10 12 14 12 -6 -14 -3 5 6 5 4 4 4 4 4 5 5 5 6 7 8 9 9 9 11 14 14 13 11 9 7 6 4 3 3 4 8 12 6 2 4 8 8 7 6 4 3 4 5 4 4 4 5 4 3 2 1 2 3 3 5 5 5 4 2 -1 -2 -0 0 3 5 5 4 6 7 6 4 4 7 9 7 6 7 8 9 9 16 21 25 31 30 19 6 -8 -10 2 8 9 14 14 12 9 8 8 8 8 6 3 4 5 6 7 6 5 6 6 7 6 5 4 4 4 3 4 4 5 6 6 6 7 7 7 6 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 8 8 8 6 3 2 2 3 4 5 5 5 6 6 7 7 7 8 9 11 12 12 7 5 9 8 5 5 6 7 7 6 5 4 5 5 5 4 5 8 12 14 13 10 7 5 4 4 5 6 7 6 6 5 6 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 6 6 6 6 6 5 5 5 5 4 5 6 6 6 7 7 7 7 7 8 9 11 11 10 10 8 6 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 4 4 4 5 6 6 6 6 5 5 5 6 5 5 6 6 7 7 6 6 6 5 5 4 3 3 2 1 1 2 2 2 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 5 6 6 7 8 11 15 17 15 11 7 5 5 5 5 5 5 5 5 4 3 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 6 6 6 6 6 6 7 7 6 4 3 3 4 4 5 4 5 5 4 4 4 6 9 9 7 7 7 7 7 8 10 11 12 8 -5 -6 2 5 4 3 4 4 4 5 4 5 5 6 7 8 10 10 11 11 11 11 12 12 9 9 9 6 5 4 -0 0 9 14 9 2 1 5 8 5 5 8 8 8 3 -0 1 4 6 5 3 1 1 2 3 4 5 5 5 3 -0 -2 -2 -1 1 3 5 5 5 6 7 7 8 8 7 7 7 8 8 8 8 8 14 19 22 30 28 16 4 -9 -8 6 14 15 15 13 10 8 8 9 8 8 5 3 3 5 6 7 7 5 5 6 7 6 5 4 4 3 3 4 4 5 6 7 7 6 7 6 6 5 5 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 2 1 2 2 4 6 7 6 5 4 2 2 3 4 5 5 5 5 6 7 7 7 7 8 10 11 12 7 3 6 6 6 7 7 7 7 7 5 5 5 5 5 4 5 6 8 10 12 11 9 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 7 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 6 7 8 9 9 10 10 10 9 7 6 6 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 3 3 3 4 5 6 5 4 4 4 5 5 5 5 5 5 6 6 6 7 7 6 5 5 5 4 3 2 2 2 3 2 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 2 2 2 2 3 3 2 2 3 6 9 11 12 10 8 6 5 7 7 7 5 5 4 4 3 3 3 4 4 5 5 5 5 5 4 5 5 5 5 6 5 5 4 4 5 5 5 5 4 5 5 5 6 6 6 7 7 8 8 6 4 3 3 3 4 4 5 5 5 5 4 4 4 7 8 6 7 7 7 7 9 10 10 10 4 -1 1 5 4 3 3 4 4 5 5 5 5 5 7 9 11 12 13 14 13 11 10 12 12 8 9 10 5 6 7 3 0 5 9 9 5 2 4 6 4 4 11 14 10 3 0 1 5 5 5 5 5 5 3 3 5 6 6 5 2 -2 -1 0 0 2 4 6 6 6 7 8 10 12 8 3 4 7 9 8 7 7 7 5 6 15 26 25 16 5 -5 -3 12 20 18 14 11 9 8 9 9 8 6 6 4 4 5 6 7 6 5 5 6 6 6 6 4 4 3 4 4 5 5 6 7 6 6 6 6 5 5 5 5 4 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 4 5 4 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 3 2 2 0 -3 -8 -9 -6 -2 0 1 2 2 3 3 4 5 5 5 5 5 6 6 6 6 7 8 10 11 12 9 5 5 6 6 7 7 8 7 6 5 5 5 6 6 5 5 5 6 8 9 10 8 7 6 6 6 6 6 5 5 5 6 6 7 7 6 5 5 5 5 5 4 5 4 4 5 5 5 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 10 10 10 10 9 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 3 3 3 4 4 4 4 3 3 3 4 5 4 4 4 4 5 5 5 7 7 6 6 6 6 6 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 3 3 2 3 3 3 4 3 2 2 1 1 3 5 6 8 9 8 6 5 7 8 8 6 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 6 5 5 4 5 5 5 4 4 4 5 5 6 6 6 7 8 8 8 6 4 3 3 3 4 5 6 6 6 5 5 5 4 5 6 7 8 8 8 8 10 11 10 6 1 1 3 4 3 3 4 4 4 5 5 5 6 6 10 14 15 15 15 15 13 11 11 12 11 8 8 7 2 2 5 7 6 5 5 7 7 6 8 8 4 2 5 10 7 3 3 3 3 2 4 6 7 6 4 4 6 6 6 4 1 -1 0 2 1 3 7 10 9 8 7 6 8 7 3 2 5 9 10 7 5 8 9 1 -0 12 24 25 16 7 -1 1 15 22 19 13 9 7 8 9 8 7 8 8 5 4 5 5 7 7 6 5 5 6 6 6 6 5 4 5 5 5 5 6 6 6 5 6 5 5 5 5 5 5 5 4 4 4 4 5 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 4 5 5 4 4 5 5 5 5 5 4 4 5 5 4 5 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 2 0 -4 -14 -21 -13 -4 -4 -2 -1 -1 0 3 5 5 5 5 5 5 5 6 6 6 7 8 9 11 12 12 8 5 6 7 7 7 7 7 5 4 3 5 5 5 5 5 5 6 7 7 7 7 6 7 7 7 6 6 5 5 5 6 7 8 8 7 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 7 7 7 8 8 8 7 7 7 7 7 8 8 6 5 5 6 7 7 7 9 10 10 11 10 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 3 4 4 4 3 2 2 4 5 6 5 4 3 4 5 5 6 6 7 7 7 7 7 7 6 7 7 6 6 5 4 3 3 3 4 5 6 7 8 8 9 8 7 6 5 5 5 6 6 5 4 4 4 3 3 3 4 5 7 7 6 5 5 7 7 5 4 4 6 7 6 4 4 4 5 5 6 6 5 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 5 5 6 6 7 7 8 8 6 4 3 3 4 5 6 6 6 6 6 6 5 4 2 5 9 9 9 9 10 11 11 8 1 -1 2 3 2 2 3 3 4 5 5 5 6 6 9 16 19 17 14 14 13 11 11 11 10 9 8 7 5 5 5 7 8 9 5 5 6 8 9 9 8 5 2 1 3 3 2 3 4 0 1 4 7 6 4 4 6 5 4 4 1 -2 -2 0 2 3 5 10 12 9 6 3 2 2 1 1 3 7 9 8 6 5 7 8 4 5 14 24 26 19 8 1 5 16 22 18 11 7 7 7 7 7 7 8 6 3 4 5 5 6 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 3 3 -0 -6 -9 -4 1 2 2 1 -0 1 4 5 5 5 5 5 6 6 6 6 6 6 7 8 8 10 9 7 6 6 6 6 6 6 6 5 4 3 4 4 4 5 5 6 6 7 7 6 6 6 6 7 7 7 6 6 5 5 6 7 8 7 7 7 7 7 6 6 6 6 6 5 6 6 7 7 7 7 7 7 6 7 7 8 8 8 8 7 7 8 8 7 7 8 8 7 6 6 6 6 5 6 7 7 9 11 12 10 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 6 5 5 5 5 4 2 2 3 6 8 9 7 5 4 5 5 6 5 5 6 7 7 7 7 6 7 8 9 7 7 6 4 5 5 5 6 8 10 11 11 11 12 12 10 8 6 7 7 7 7 6 5 5 6 5 5 4 4 3 4 5 4 4 3 5 6 6 5 6 7 8 6 4 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 6 6 6 7 7 7 6 5 4 4 4 5 6 6 7 7 6 6 5 3 2 6 9 9 10 11 11 11 12 4 -5 -3 1 2 2 2 3 3 4 5 5 6 5 8 15 21 20 14 12 11 10 10 10 11 9 8 8 8 8 9 8 9 9 10 6 4 5 7 8 8 6 3 2 6 8 8 6 6 4 -1 1 3 5 3 3 3 5 5 5 2 -2 -4 -2 -0 1 2 5 8 5 2 2 2 3 3 4 6 8 7 7 8 5 -0 -0 8 12 12 17 25 26 19 8 2 7 18 20 15 9 6 7 7 6 6 8 8 4 2 2 3 5 6 7 7 6 6 6 6 6 7 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 5 4 4 3 3 3 3 3 2 2 3 3 3 4 5 5 5 4 5 4 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 5 6 7 6 4 3 3 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 3 3 4 5 6 6 6 6 6 7 7 6 6 6 8 8 7 6 6 5 6 7 7 6 6 6 6 6 7 7 6 7 7 7 6 7 7 7 6 7 7 6 6 7 7 7 8 8 7 7 8 8 7 7 8 8 8 7 7 7 6 5 6 6 6 7 8 10 11 11 9 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 9 6 6 6 6 6 5 3 2 3 7 12 13 10 6 5 6 7 6 5 4 4 4 5 5 6 5 6 6 6 6 5 5 5 6 6 7 9 12 13 12 12 12 12 12 9 7 7 8 9 8 7 5 5 7 8 8 6 4 4 3 3 3 3 2 2 3 6 7 6 7 7 6 4 4 5 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 6 6 7 7 6 6 5 5 6 6 6 6 7 7 6 5 4 2 2 7 10 10 12 13 14 14 12 -0 -6 -3 1 2 2 2 2 3 4 5 6 6 7 13 20 19 13 10 9 9 9 11 12 11 8 7 7 9 12 10 4 5 9 7 4 2 4 7 6 7 6 1 0 6 11 12 11 8 4 2 3 4 1 -2 -0 1 2 5 5 -0 -4 -4 -2 -0 1 2 4 4 -0 -1 2 2 3 5 9 12 11 10 10 12 6 -2 6 18 18 16 21 26 25 18 8 3 9 18 18 12 8 6 6 7 6 7 9 8 6 4 2 2 5 6 7 7 7 7 7 6 7 7 7 6 7 6 6 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 5 5 5 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 2 2 2 1 1 2 2 3 4 4 4 5 4 4 3 4 5 5 5 5 5 5 5 4 4 3 3 3 4 6 8 9 7 7 7 6 5 1 -1 2 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 6 6 5 3 3 4 5 5 5 5 5 6 8 8 6 5 7 8 7 7 7 6 6 6 6 7 6 6 6 5 5 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 10 11 10 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 23 13 8 7 7 6 6 5 4 3 4 9 14 15 10 5 5 6 7 6 4 3 2 2 3 3 3 3 3 3 3 4 4 5 6 7 7 8 10 12 11 9 8 9 9 8 6 5 5 6 7 7 5 4 6 9 10 9 7 5 4 4 3 3 2 2 1 2 4 6 7 7 6 3 2 3 5 6 6 6 7 7 6 6 4 4 4 5 4 4 4 4 4 4 4 4 4 2 2 3 4 4 4 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 5 4 2 2 7 10 11 13 15 16 16 8 -5 -6 -2 1 2 2 2 2 4 5 5 6 7 10 17 20 14 9 8 9 10 11 13 12 10 8 8 9 12 12 7 4 6 7 2 -1 0 4 8 7 7 7 5 3 3 5 8 9 6 4 4 4 4 -0 -1 0 1 -1 4 3 -1 -4 -3 -2 0 3 6 8 7 3 2 2 3 5 10 18 19 11 10 12 14 10 7 17 22 19 18 23 26 23 16 7 5 11 17 16 11 7 7 7 5 4 7 9 8 6 5 4 3 5 5 6 6 7 7 8 8 8 7 6 6 6 6 5 4 4 4 4 4 4 4 5 5 4 4 3 4 5 5 5 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 3 3 3 2 2 1 0 -0 0 2 3 3 3 4 4 4 4 4 4 4 5 5 4 5 5 4 4 3 3 2 2 3 6 8 7 6 7 7 5 4 2 -1 -3 2 6 5 5 6 6 6 6 6 6 6 7 6 6 6 5 6 6 6 5 4 4 4 5 6 6 6 5 4 4 4 5 5 4 4 6 9 9 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 7 7 7 6 6 5 5 6 5 6 6 6 6 6 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 25 15 10 9 8 8 7 6 5 4 5 9 14 13 8 3 3 5 8 8 6 4 3 3 3 3 2 2 2 1 2 2 3 5 7 7 7 7 9 10 7 5 5 5 5 4 3 3 3 4 4 4 3 4 6 10 11 9 7 6 6 6 5 4 4 3 3 2 2 3 5 5 5 3 3 3 5 6 7 6 6 7 7 7 6 5 4 5 5 5 5 5 5 4 4 4 4 3 2 3 4 4 4 5 5 5 5 5 5 6 7 7 7 7 6 6 7 6 5 4 3 2 3 8 11 13 13 15 15 10 3 -6 -7 -1 2 2 2 2 3 4 5 6 6 7 12 17 15 11 8 8 11 14 15 15 10 8 8 6 9 13 10 6 8 10 9 3 -3 0 3 7 9 10 9 8 6 5 3 2 3 3 3 4 4 3 -0 -1 -0 2 4 6 2 -2 -3 -2 0 3 7 11 13 11 8 5 5 6 9 15 25 22 11 8 9 10 10 9 14 17 14 12 15 21 21 15 8 6 12 16 14 9 7 8 6 3 3 8 10 7 5 6 6 5 4 5 5 5 6 7 8 9 9 7 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 5 4 4 3 3 4 4 4 4 5 5 4 4 4 3 3 3 2 1 0 -1 -1 -1 1 2 2 3 4 5 5 4 4 4 4 4 4 5 5 4 3 2 1 -1 -3 -0 3 7 8 6 6 7 7 5 4 4 2 0 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 5 2 4 7 7 7 6 5 4 4 5 5 4 4 6 10 10 8 6 6 7 6 6 7 7 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 18 15 12 11 11 10 10 8 7 6 6 9 12 11 8 5 5 8 12 12 11 10 8 5 5 5 4 4 3 2 2 2 3 5 7 6 5 5 6 5 5 5 5 4 3 3 2 2 3 3 3 3 3 4 6 8 9 7 5 6 6 7 6 6 7 7 6 4 2 1 1 2 2 3 4 3 5 7 7 7 6 6 7 8 8 6 5 5 5 6 6 6 5 5 4 4 4 3 2 3 3 4 4 4 5 5 5 5 5 6 7 8 8 8 7 7 7 6 5 3 2 3 7 11 13 13 12 13 10 1 -4 -5 -6 -0 2 2 2 3 4 5 6 7 6 8 12 12 10 8 7 9 13 18 20 16 8 6 7 4 5 7 6 7 11 11 9 4 0 1 3 6 9 12 10 7 8 6 2 -1 -1 1 2 3 2 1 0 1 2 4 7 4 0 -2 -1 1 4 8 12 14 13 11 9 7 9 11 11 13 15 13 7 4 5 5 5 9 13 12 5 -2 1 14 20 13 7 8 12 15 13 8 7 7 5 3 4 9 10 6 4 5 7 8 6 5 4 5 6 8 9 10 9 8 6 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 3 3 4 4 4 4 5 5 5 4 4 4 4 3 3 2 1 0 -0 -1 -1 -0 1 2 3 4 5 5 4 4 4 4 4 4 5 4 3 3 1 -1 -5 -8 -3 4 7 7 7 7 7 7 6 5 5 4 3 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 8 8 8 5 4 6 8 8 7 6 5 4 5 5 4 3 7 11 11 8 7 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 6 6 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 6 7 7 8 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 10 10 11 11 9 8 7 8 10 11 11 9 9 10 13 15 15 16 16 12 9 8 7 7 7 7 5 3 3 4 5 6 5 3 2 2 3 6 6 4 3 2 2 1 2 3 4 4 3 3 5 6 7 6 5 4 4 4 5 6 7 9 10 10 7 4 2 1 0 1 2 3 3 4 6 8 7 6 5 6 8 10 9 6 5 5 6 7 7 6 5 5 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 7 8 9 9 7 7 7 6 3 2 3 7 13 16 14 12 11 9 2 -10 -11 -5 -2 1 3 3 3 3 4 6 6 6 6 7 10 9 8 8 9 10 12 16 18 15 8 6 7 5 4 4 6 7 6 6 6 5 4 3 4 5 8 11 10 8 10 8 3 -0 -1 0 2 3 2 3 4 6 8 7 5 1 -2 -1 1 6 8 14 18 15 11 9 8 8 10 12 11 10 3 -1 1 1 2 3 4 10 15 13 0 -9 -1 17 23 13 8 8 12 14 13 8 6 6 4 3 6 9 9 6 4 4 8 10 8 4 3 5 6 7 9 10 10 8 6 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 5 5 5 6 6 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 2 2 2 0 0 -1 -1 0 1 1 2 4 5 5 5 4 4 4 4 4 4 3 3 3 2 1 -2 -4 -2 4 7 7 7 7 7 8 7 5 6 6 1 -1 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 9 9 7 7 8 8 8 7 6 5 5 4 3 4 7 11 11 8 7 7 7 6 6 6 8 8 8 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 6 6 6 7 7 8 8 8 7 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 7 7 8 7 7 7 7 7 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 6 7 8 8 8 8 8 8 9 9 9 10 11 12 13 13 13 14 15 13 10 10 10 10 10 11 10 8 6 7 7 6 4 2 1 2 4 6 5 3 2 1 1 1 2 4 5 5 5 5 5 6 7 8 7 4 3 2 3 5 7 10 11 11 11 8 5 3 2 2 2 2 3 4 6 8 8 6 5 6 9 12 13 10 6 5 6 8 8 7 6 5 4 3 3 3 3 3 3 3 4 4 4 5 5 6 7 8 9 10 9 8 7 6 4 3 4 7 12 18 20 15 12 9 5 -5 -15 -14 -5 0 2 2 3 4 5 5 6 6 6 6 6 7 8 9 10 11 12 11 10 12 11 10 8 7 6 5 6 6 3 5 5 6 6 6 5 5 7 7 8 9 10 11 8 4 1 1 2 3 4 5 7 10 11 9 5 1 -1 -2 0 3 8 9 15 19 13 7 6 6 7 8 8 9 9 3 -2 -2 1 3 3 4 9 15 14 5 1 14 30 27 14 8 9 11 13 12 8 6 5 4 4 7 8 7 6 5 6 8 12 10 4 3 4 6 7 9 10 11 9 6 5 5 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 4 4 4 4 4 5 5 4 4 4 3 2 2 1 1 0 0 0 0 1 2 3 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 7 8 7 7 8 8 8 7 6 6 6 4 3 4 5 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 5 3 6 8 8 8 8 7 7 5 4 3 5 8 11 10 8 7 6 6 6 6 6 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 4 4 5 5 6 6 7 7 6 6 6 6 7 8 8 7 6 7 9 9 10 10 10 11 13 14 14 13 11 10 10 9 7 5 4 5 6 6 4 2 1 1 1 1 3 5 6 6 6 5 5 7 9 10 9 7 4 2 3 4 6 8 10 11 11 10 9 8 6 5 3 3 4 4 5 7 7 6 5 5 8 12 14 12 8 6 6 7 7 7 6 5 3 3 2 2 3 3 3 4 4 4 4 5 5 6 7 8 9 9 9 7 6 5 4 4 7 11 15 19 21 19 15 12 4 -8 -15 -11 -3 1 2 3 3 5 6 6 7 6 5 5 6 7 9 13 14 15 15 12 8 8 10 11 10 6 3 4 7 3 1 4 6 8 8 7 6 6 8 8 6 9 10 8 7 6 5 4 5 6 6 8 10 11 9 4 0 -2 -2 -1 3 4 6 9 13 13 6 2 2 4 6 6 6 10 13 9 3 2 5 7 4 3 7 11 13 14 19 32 38 28 14 8 9 12 11 10 9 7 5 4 5 7 8 7 6 6 7 9 12 9 3 3 5 6 8 9 10 10 9 7 6 5 4 4 4 4 5 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 3 3 3 3 3 2 2 3 5 4 4 4 5 6 6 6 5 6 6 6 6 6 5 5 5 4 4 3 3 4 4 4 4 5 4 4 4 4 3 3 3 2 2 1 1 1 1 1 2 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 7 7 7 7 7 7 8 9 9 9 7 7 6 5 4 4 5 6 6 6 5 4 4 3 3 3 4 6 6 7 7 8 8 7 7 7 6 5 -1 3 8 8 9 9 8 7 6 4 4 5 8 10 10 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 8 7 8 7 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 4 3 4 4 5 5 5 4 3 3 3 4 5 4 4 3 3 4 6 7 8 8 9 12 13 14 14 13 13 13 12 10 8 8 8 7 4 1 -0 -0 0 2 3 4 6 7 7 6 5 6 8 10 12 11 9 6 4 3 4 5 5 7 8 9 10 11 11 10 9 6 5 4 4 4 5 6 6 6 6 7 10 12 11 9 7 6 6 5 5 5 4 3 2 2 2 2 2 3 4 4 4 4 4 5 6 6 7 9 10 9 7 5 3 3 6 9 12 14 16 19 23 21 14 3 -10 -12 -6 -1 2 2 3 5 6 7 7 7 5 5 6 7 10 14 17 17 17 17 13 9 7 9 11 11 6 3 5 6 4 4 4 5 7 8 8 7 7 8 8 8 10 9 6 7 8 8 7 7 7 8 8 9 7 3 -1 -2 -2 -1 2 5 7 5 8 12 8 0 -2 1 5 7 8 8 9 10 6 4 5 7 8 5 4 6 6 13 21 28 36 35 24 14 9 10 12 11 10 9 8 6 5 5 7 7 6 6 7 8 11 11 6 2 3 6 7 8 9 10 10 8 7 6 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 5 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 4 4 3 3 3 3 2 2 3 4 5 5 4 5 6 6 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 4 4 4 4 5 4 4 4 3 3 2 2 2 1 1 2 2 4 4 5 5 4 4 4 4 4 4 4 3 3 2 5 8 8 6 6 7 8 9 10 10 9 8 7 6 5 2 0 4 6 6 6 5 5 6 5 2 -1 -1 2 3 3 5 7 8 7 7 7 7 9 6 3 8 9 9 10 9 7 6 5 4 5 7 9 9 7 6 6 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 5 5 6 5 6 7 7 7 7 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 5 5 5 6 6 7 8 10 11 12 13 16 16 13 11 10 9 6 1 -2 -2 -2 0 2 4 5 6 6 7 6 6 6 7 11 13 12 9 7 5 4 3 3 4 5 6 7 8 9 11 12 12 10 7 6 4 3 4 5 6 7 7 7 8 9 11 10 8 6 5 4 4 4 4 2 2 1 2 2 2 3 4 4 4 4 4 5 5 6 7 9 12 11 7 3 1 4 8 11 16 18 16 17 21 18 9 -4 -13 -9 -2 1 1 2 4 6 8 8 7 6 5 6 10 12 16 18 18 16 15 15 13 9 7 8 11 11 8 6 11 10 7 5 5 8 7 6 6 6 6 7 7 8 9 8 6 7 9 10 10 9 9 7 6 4 1 -2 -2 -1 0 2 5 7 8 5 8 9 3 -3 -1 5 9 10 10 8 5 1 -2 1 6 4 2 4 8 8 9 14 19 25 30 28 19 12 10 11 12 11 9 8 7 6 6 6 6 6 6 5 5 8 12 11 5 3 4 7 7 8 10 10 10 8 6 5 5 5 5 5 5 5 5 6 5 4 4 5 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 4 4 3 3 3 2 2 3 3 4 5 5 5 5 6 6 7 7 6 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 2 3 2 2 2 2 3 4 5 5 4 4 4 4 4 4 3 3 1 -1 -2 2 8 8 6 6 7 8 8 8 8 7 7 7 6 6 4 1 3 5 6 6 6 6 7 8 8 5 2 1 1 0 1 1 4 7 8 8 6 8 10 7 8 9 10 10 9 7 5 4 5 6 7 9 10 8 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 4 4 4 4 4 4 3 3 2 3 3 4 3 3 4 5 5 5 5 5 4 4 4 4 4 5 6 7 9 11 17 21 19 13 10 8 3 -1 -3 -2 -1 0 2 4 4 4 4 5 6 6 6 7 10 12 12 10 9 6 4 4 4 5 6 6 6 6 7 10 12 13 11 10 8 6 4 4 5 6 8 9 9 7 8 10 10 8 6 4 4 4 4 3 3 2 2 2 2 2 3 4 4 4 4 4 4 5 6 8 11 13 12 5 -1 1 6 8 12 22 26 20 14 10 5 -2 -9 -13 -6 0 1 0 3 5 7 8 7 7 6 7 11 17 18 18 17 15 16 15 13 12 10 7 8 10 9 6 7 13 15 11 8 5 6 4 2 0 2 3 4 5 6 7 7 6 9 10 12 11 10 8 5 2 -1 -4 -4 -1 3 4 6 8 8 6 4 6 5 0 -1 5 10 11 12 11 8 4 -1 -2 2 5 1 -3 4 12 12 14 18 18 20 24 22 16 11 10 11 12 11 8 7 7 6 6 7 6 6 6 4 4 7 10 9 5 3 6 8 8 9 9 10 9 8 6 5 5 5 5 5 6 5 5 6 5 5 5 6 7 7 7 6 6 5 4 3 3 4 5 6 6 6 5 5 4 5 5 5 5 5 6 6 5 5 4 5 4 3 3 3 2 2 2 3 3 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 4 4 5 5 4 4 3 3 3 3 2 1 0 -1 -1 0 5 7 6 5 7 9 9 7 3 1 3 5 6 6 7 6 5 5 6 6 6 6 7 9 11 13 12 10 8 7 6 5 5 7 8 9 9 8 7 7 8 9 10 10 8 6 5 5 6 6 6 9 11 9 7 6 5 6 6 6 5 5 5 5 4 5 5 4 4 4 4 4 5 5 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 5 6 6 6 7 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 3 4 4 3 1 1 2 3 3 3 3 2 2 2 1 2 3 4 4 5 5 4 4 3 3 3 2 3 4 6 6 5 5 9 17 20 13 5 2 1 2 5 7 7 5 4 4 3 2 2 3 4 5 5 5 6 8 10 10 9 8 7 6 7 7 8 8 7 7 8 8 8 9 9 10 10 8 6 5 5 5 7 9 10 9 9 8 8 8 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 3 5 8 9 9 8 7 4 1 1 2 2 3 9 13 7 -4 -14 -16 -12 -6 -4 -2 -1 -1 -0 2 5 7 8 7 7 9 11 15 15 13 10 10 11 15 19 19 12 7 7 7 7 6 3 2 6 11 9 1 -1 1 -1 -1 -0 1 3 2 0 2 4 5 4 1 1 4 6 6 3 -2 -4 -4 -4 -3 -0 4 8 10 11 8 3 1 1 2 2 3 6 8 10 11 11 9 8 10 13 12 8 4 2 5 7 6 11 21 28 27 22 19 16 13 12 11 11 11 9 7 7 6 6 6 6 6 6 5 5 6 6 4 4 5 6 8 9 8 9 10 10 9 8 6 5 6 6 6 6 6 5 5 5 5 5 4 5 6 6 6 6 5 5 4 3 3 4 5 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 3 4 5 6 7 7 7 7 7 7 7 7 7 6 7 6 5 5 5 4 4 5 6 5 5 5 5 5 5 5 4 5 4 4 4 3 3 3 3 3 3 3 4 4 5 6 5 5 4 3 4 4 4 3 1 -1 3 9 8 5 6 7 6 7 8 8 5 2 5 7 7 7 8 9 9 5 5 5 5 5 6 7 6 5 5 7 9 10 10 10 9 7 7 7 6 7 7 5 6 7 8 8 7 6 5 5 6 6 6 5 6 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 7 8 8 7 6 6 6 6 6 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 10 10 10 12 15 17 16 15 12 8 10 16 22 17 10 5 -1 2 6 10 9 11 13 13 12 10 13 14 17 21 23 22 17 13 11 11 10 10 10 10 10 11 11 11 13 13 13 15 16 17 16 16 16 15 15 15 15 15 13 12 13 13 14 16 17 16 15 15 15 15 14 11 9 9 10 11 12 12 13 14 14 13 13 13 13 13 13 12 12 11 11 10 9 9 9 10 11 11 11 10 10 10 11 12 12 13 13 12 12 12 12 12 12 11 11 11 12 15 18 18 17 15 14 13 13 13 12 13 14 14 13 11 10 10 9 10 12 14 15 13 10 7 8 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 11 10 10 10 11 12 14 13 12 12 12 12 12 11 10 10 11 11 11 11 9 9 9 10 12 11 11 11 12 12 12 12 11 11 11 11 10 10 9 10 11 12 12 12 11 10 10 10 12 12 11 12 12 11 11 12 13 11 10 11 11 11 10 9 7 8 10 14 15 13 12 11 10 10 10 11 10 11 11 10 10 10 10 10 12 12 12 12 11 11 11 11 12 11 11 10 10 10 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 11 9 10 10 9 10 13 13 13 13 13 13 12 12 12 11 12 13 13 13 13 12 12 12 12 12 11 11 12 13 13 13 13 14 13 13 12 12 12 12 12 12 11 12 12 11 12 12 11 12 12 11 12 13 13 13 13 13 13 13 14 13 13 14 15 15 14 13 14 17 16 13 11 10 8 8 10 12 13 13 13 13 12 13 14 14 14 14 14 14 16 16 17 18 18 17 15 14 13 13 13 12 13 13 13 16 18 20 21 20 17 16 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 13 13 14 14 15 15 14 14 14 15 17 17 18 15 15 16 15 14 13 13 14 13 12 11 11 11 11 11 11 11 13 13 14 14 14 14 13 12 12 11 12 13 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 9 9 13 19 21 13 1 -3 -1 10 14 9 10 11 13 13 11 9 11 13 15 16 16 16 14 12 11 10 9 9 11 12 12 13 13 14 15 14 13 14 15 14 14 14 12 13 14 14 14 14 13 12 13 13 14 15 16 14 13 14 15 15 14 12 10 10 11 11 12 13 13 14 14 15 15 15 15 15 14 12 11 10 10 9 8 9 9 11 12 12 11 12 11 11 12 13 13 13 13 12 13 13 13 12 13 13 13 14 16 19 20 19 17 16 14 13 14 13 13 14 16 14 11 9 9 10 11 12 12 12 14 14 11 9 9 10 11 11 10 10 11 10 10 10 10 10 10 9 10 10 10 10 11 11 10 10 10 10 10 11 10 10 10 10 10 11 12 11 11 10 9 9 9 11 13 13 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 11 11 12 11 11 11 11 10 10 10 11 12 12 12 11 10 9 9 10 12 12 12 11 9 8 11 13 12 11 10 11 12 12 11 8 6 7 10 12 12 12 13 12 11 10 11 10 10 11 10 11 11 11 10 10 11 12 11 10 11 11 12 12 12 11 11 11 11 10 11 11 11 12 11 11 11 11 12 12 12 13 13 12 12 12 12 13 12 11 10 8 8 12 13 13 13 13 12 12 13 13 12 12 12 11 12 12 13 12 12 12 12 12 12 12 12 12 13 13 14 13 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 14 14 12 10 9 9 11 12 13 13 13 13 13 13 13 13 14 15 14 15 15 16 18 19 19 17 15 14 14 13 13 14 14 14 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 13 13 13 13 14 15 14 13 14 14 14 15 16 16 17 17 14 15 15 15 15 14 14 14 14 12 12 11 11 12 12 12 12 12 12 13 13 13 14 13 12 12 11 11 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 4 -4 -4 5 7 7 9 11 12 13 13 11 11 13 13 12 10 10 10 10 10 9 8 10 12 14 16 17 17 16 15 14 13 12 11 12 11 9 7 10 12 13 13 13 13 13 13 13 15 16 16 15 14 15 15 15 14 13 12 11 11 11 12 11 11 11 12 12 13 14 14 13 12 12 11 10 10 10 9 9 10 12 13 13 13 13 13 13 14 14 14 13 13 13 12 13 13 13 14 14 15 16 18 19 19 18 16 15 14 14 13 13 13 14 14 12 10 9 9 11 13 12 12 11 11 12 12 11 11 11 11 11 10 11 10 10 10 10 10 11 11 10 10 10 10 10 11 10 10 10 10 11 10 10 11 10 10 10 11 11 11 11 11 11 10 9 10 10 11 12 12 13 13 13 13 12 11 11 10 11 11 11 11 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 11 12 12 11 9 7 9 12 12 10 10 11 11 12 14 12 9 8 8 9 10 11 12 13 12 11 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 12 12 13 12 12 12 12 11 11 11 11 12 12 11 11 12 12 13 13 13 13 13 13 13 12 11 10 9 10 10 11 12 13 13 13 12 12 13 12 12 12 12 12 11 11 12 12 12 11 11 11 12 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 13 14 14 14 14 13 13 13 12 12 13 13 13 14 13 14 13 14 14 14 14 14 14 15 14 14 15 17 19 19 17 15 14 13 14 14 14 15 15 14 13 12 12 12 12 13 13 13 12 13 13 12 13 12 12 11 12 12 12 12 12 12 13 13 13 12 13 13 14 13 13 13 13 13 14 14 14 14 13 13 14 14 14 15 15 16 15 14 14 14 13 14 14 15 15 14 13 12 11 12 11 12 12 12 13 12 12 12 13 13 13 13 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 12 12 13 13 14 15 16 14 11 10 9 8 8 8 10 13 16 17 18 17 16 14 13 12 10 9 8 7 6 6 8 10 10 10 11 13 14 14 14 15 16 16 18 18 18 17 15 14 13 12 11 11 11 11 11 10 10 10 11 12 13 13 13 11 10 10 10 10 11 11 12 14 16 17 16 15 15 14 14 14 14 14 14 14 13 12 13 13 13 13 14 15 16 16 16 15 14 14 14 14 14 13 13 14 13 13 12 12 11 11 11 12 12 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 9 11 11 10 10 10 10 11 11 11 11 10 10 9 10 11 11 11 11 10 11 11 11 10 10 11 11 12 13 13 12 12 12 11 11 12 11 11 11 11 11 11 10 11 10 10 11 11 11 10 10 10 12 11 11 11 12 12 11 12 12 12 11 10 9 9 9 11 11 12 11 10 9 9 10 10 11 11 10 11 12 13 14 12 11 9 9 10 10 11 12 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 11 11 10 10 10 11 13 13 12 13 13 13 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 13 14 14 13 13 12 13 13 13 13 14 15 14 14 13 13 14 14 13 13 14 14 14 14 14 14 15 16 18 19 17 15 14 13 13 13 13 14 14 13 13 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 12 12 12 12 13 14 14 14 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 14 14 14 14 14 12 14 14 13 12 12 14 14 15 13 12 12 11 11 12 12 12 12 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 10 8 6 7 9 11 14 15 17 17 15 13 12 12 11 11 10 8 7 6 6 9 11 11 12 13 15 17 17 17 16 15 18 21 22 21 17 14 12 12 11 10 10 10 10 10 10 9 9 10 12 13 13 12 12 11 10 10 11 12 14 16 19 21 20 18 16 15 14 14 13 14 14 13 13 13 13 13 13 14 14 14 14 13 13 12 11 11 11 11 12 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 11 10 10 11 10 11 11 11 11 10 10 9 10 11 11 10 10 11 11 11 12 11 11 10 10 11 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 8 7 9 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 11 10 9 9 9 10 11 11 11 11 10 11 12 12 12 11 10 10 9 9 10 10 10 10 11 10 10 10 11 11 12 11 11 10 10 10 10 10 11 11 11 11 12 13 13 13 13 12 12 11 11 11 12 12 12 13 13 13 12 13 13 13 12 11 10 11 12 12 12 13 12 12 12 12 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 12 12 12 12 12 12 12 12 12 12 12 11 12 12 13 13 12 13 13 13 14 14 14 14 13 12 11 11 12 13 14 14 12 11 12 13 14 13 13 14 14 14 13 13 13 13 13 13 14 13 13 14 13 13 14 15 17 19 20 18 15 13 13 13 13 13 14 13 13 13 12 12 12 12 12 12 12 13 12 12 11 11 11 11 12 12 12 13 13 14 14 14 13 13 13 13 14 14 14 14 14 14 14 14 14 13 14 13 13 14 13 13 14 12 12 13 13 12 11 11 13 13 13 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
nan nan nan nan nan nan nan nan 16 16 16 20 24 27 30 29 26 23 22 22 23 23 21 18 17 18 21 23 23 21 18 13 9 10 13 16 16 14 12 12 12 13 15 20 26 35 43 48 49 45 38 29 24 21 21 22 23 27 30 29 25 22 20 20 19 17 15 12 10 9 10 13 14 15 15 14 13 10 8 6 6 6 6 6 6 6 7 7 8 9 10 8 4 4 4 5 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 37 44 40 31 30 25 17 12 10 6 3 2 8 26 37 42 38 30 26 30 44 57 59 57 58 62 63 62 61 60 59 61 67 75 75 61 47 40 32 22 14 7 3 7 12 14 14 15 15 16 16 15 11 8 7 6 4 2 2 4 8 11 14 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 0 0 0 0 1 15 33 39 48 60 62 62 74 83 88 80 79 85 88 86 83 82 86 95 103 101 93 85 81 79 83 97 99 86 94 124 142 139 128 118 110 104 96 88 82 78 81 87 98 98 92 90 91 94 103 111 118 123 120 117 135 162 168 159 160 152 155 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 14 17 20 20 21 22 24 25 23 19 16 18 20 23 24 23 19 15 14 17 20 20 20 18 14 10 11 13 14 14 13 13 13 12 13 16 22 29 36 41 45 45 42 34 28 25 23 22 22 23 26 28 26 23 21 19 18 16 14 12 10 8 8 10 11 11 10 9 8 7 6 6 6 6 7 7 7 7 6 5 6 6 7 7 4 3 4 4 6 9 8 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 29 38 33 26 25 19 13 9 9 5 1 0 0 13 24 29 27 19 13 20 35 46 45 40 44 54 60 61 58 55 52 50 52 57 59 55 49 45 41 35 29 20 13 12 13 13 13 13 13 14 15 14 11 9 8 8 7 4 1 0 1 4 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 0 0 0 0 0 5 29 37 54 63 68 68 82 90 84 66 60 64 65 72 82 84 92 107 113 110 105 100 96 95 97 103 102 96 107 123 123 122 120 119 116 113 112 110 105 98 90 87 88 92 100 99 100 108 118 121 123 123 121 119 132 156 171 171 172 164 152 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 8 14 19 20 19 18 17 17 18 18 18 20 22 25 27 27 22 14 9 10 16 19 20 22 22 16 11 12 14 15 16 17 16 16 17 18 20 24 29 34 37 38 37 35 33 30 26 24 23 21 20 21 24 22 19 16 13 12 11 10 8 7 7 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 5 4 5 5 6 6 3 3 3 4 8 9 7 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 33 33 28 23 17 9 5 5 3 0 0 2 7 14 17 15 9 4 14 31 39 35 28 31 43 53 56 56 56 54 50 48 48 48 45 41 34 31 31 28 22 18 17 16 16 15 14 13 13 14 15 13 11 9 8 8 7 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 4 17 12 12 33 46 59 63 66 80 96 94 82 62 50 51 51 68 90 97 107 122 126 119 112 110 109 109 110 110 108 106 108 108 104 100 99 99 100 100 105 117 124 127 120 105 95 102 111 116 118 122 125 125 124 124 124 124 134 152 170 177 177 166 147 141 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 7 13 17 18 17 15 16 18 19 21 23 25 27 28 28 24 16 8 7 12 16 18 22 25 21 13 11 13 16 19 20 20 19 19 20 20 21 23 24 24 26 29 31 33 32 29 27 26 22 18 18 20 20 18 14 11 10 9 8 7 7 7 7 7 8 8 7 6 6 6 6 6 6 7 7 6 6 7 7 6 5 5 6 6 6 5 3 4 7 8 8 7 4 5 5 4 4 4 4 4 4 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 26 30 27 22 15 7 2 0 0 1 0 1 2 6 9 9 4 3 15 30 35 27 15 14 26 38 44 46 48 50 48 44 40 35 29 22 17 18 20 19 17 17 18 19 19 18 16 15 14 14 15 14 13 11 8 7 7 8 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 14 24 34 43 46 45 56 77 94 97 89 69 50 54 73 103 125 127 127 134 129 118 112 111 112 114 114 114 110 107 106 101 93 91 89 85 82 79 81 95 117 134 139 127 109 102 110 121 129 131 128 124 122 124 124 124 133 151 168 177 177 165 142 131 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 0 0 3 9 13 16 17 16 17 18 21 22 24 26 28 28 28 23 16 9 6 8 12 17 21 23 20 15 12 12 14 18 22 22 20 19 19 20 20 20 20 19 20 24 28 31 32 31 29 28 24 20 17 17 18 16 14 12 10 8 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 7 7 6 6 6 7 8 8 6 4 5 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 22 16 9 4 2 2 4 4 3 1 1 1 5 6 2 4 14 26 29 17 4 2 9 17 16 19 25 23 25 26 18 12 9 5 5 10 16 16 15 15 17 18 18 18 17 15 14 14 15 15 14 13 9 4 3 7 7 6 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 25 33 35 32 43 71 85 102 108 87 56 61 100 132 140 133 127 125 112 100 94 95 97 102 104 106 104 103 103 100 94 94 92 87 80 74 71 75 94 122 144 146 129 110 106 115 124 128 126 120 116 117 119 123 133 149 165 173 176 168 144 121 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 0 0 1 3 7 11 14 15 14 17 21 24 25 25 26 26 26 21 15 9 6 7 12 17 19 19 18 15 12 11 13 18 23 27 25 22 22 21 19 18 20 21 24 28 30 31 31 31 29 26 23 20 18 16 15 13 10 9 8 8 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 8 7 5 4 4 4 4 4 4 3 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 1 5 7 2 0 2 7 12 14 9 5 4 4 5 4 2 1 4 11 19 19 10 1 0 1 3 2 2 1 1 1 1 0 0 1 0 0 3 11 12 9 14 15 16 17 17 16 14 13 13 15 16 16 15 10 4 0 4 6 7 11 12 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 18 25 26 27 49 72 81 105 125 110 87 82 114 131 125 113 108 102 91 82 76 72 73 81 88 91 94 97 99 99 99 99 97 93 88 82 74 69 76 104 139 154 144 120 104 102 106 109 111 111 111 112 114 121 132 146 161 168 174 177 152 119 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 3 6 10 12 12 13 16 18 20 20 20 20 21 18 12 9 7 8 11 15 16 15 14 13 10 10 14 21 27 32 34 33 32 29 26 24 27 32 35 35 35 31 31 32 30 26 21 18 18 17 14 11 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 6 7 8 6 5 4 4 4 4 4 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 1 3 2 1 2 8 18 24 19 9 6 6 7 10 11 9 7 6 10 13 13 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 10 15 15 16 16 14 12 11 12 14 17 18 15 10 6 3 3 5 7 11 14 14 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 17 25 46 66 84 88 116 138 126 119 117 131 125 112 102 96 93 86 80 74 67 65 72 80 85 87 89 92 96 98 100 100 98 96 93 85 73 71 91 128 154 150 130 110 100 93 92 94 100 108 110 114 121 129 140 153 164 173 179 166 136 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 0 2 5 8 9 8 9 10 10 12 13 13 13 12 9 8 7 9 10 11 10 9 8 7 6 5 9 17 24 29 32 34 36 36 36 37 41 43 41 39 36 32 31 32 31 26 20 18 16 16 14 9 6 6 6 7 7 7 8 8 8 8 7 6 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 5 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 17 24 24 17 8 7 9 14 17 17 13 8 6 7 9 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 11 13 12 12 9 10 11 14 17 18 14 10 8 7 6 6 7 9 11 12 12 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 14 22 37 60 78 90 95 120 136 136 138 137 128 117 107 100 95 95 93 85 76 70 70 78 86 88 88 88 91 95 99 100 99 96 100 102 98 84 73 83 119 149 148 137 124 114 105 99 97 101 107 111 116 123 130 136 144 156 170 182 178 154 127 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 0 0 1 3 4 3 3 4 4 7 9 9 7 6 5 5 5 7 11 11 9 6 3 2 1 0 3 9 14 17 17 18 20 26 32 38 42 42 39 36 35 33 32 32 31 27 22 18 15 14 14 11 7 6 6 6 6 7 7 7 8 8 8 6 5 5 5 6 6 5 5 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 5 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 25 20 14 9 8 11 15 18 18 14 8 5 5 6 8 11 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 4 4 4 5 6 10 15 17 15 12 10 10 10 9 7 6 5 5 6 5 4 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 22 29 40 60 76 88 93 92 102 119 127 130 128 123 116 110 103 98 96 94 86 75 66 67 79 95 103 100 100 103 109 111 108 98 92 98 109 110 96 76 80 113 137 139 138 138 135 129 122 116 110 108 111 116 125 132 131 132 143 164 182 183 162 137 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 3 1 0 0 0 0 0 0 0 1 1 2 4 6 8 8 6 3 2 2 3 5 9 12 10 7 3 0 0 0 2 6 7 7 6 4 6 10 16 22 26 29 30 31 32 33 33 32 31 28 25 21 16 13 13 13 10 6 6 6 6 6 7 7 7 7 7 6 5 5 5 6 6 5 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 8 7 6 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 20 15 11 10 10 11 12 16 17 13 7 6 5 5 6 8 9 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 1 6 12 13 12 11 11 10 7 4 1 0 0 1 0 1 4 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 21 31 40 49 69 90 100 101 96 99 108 109 103 98 100 103 105 103 98 92 85 78 73 69 67 80 98 110 113 116 122 132 138 135 119 106 104 112 119 109 89 85 107 129 137 142 146 146 143 138 130 118 111 109 112 120 128 126 122 128 152 180 186 166 144 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 10 9 6 3 0 0 0 0 0 0 0 0 0 0 2 3 6 9 8 3 2 2 2 2 6 11 12 9 5 2 1 1 1 2 2 2 3 4 4 3 3 6 8 15 21 24 28 31 32 31 30 28 27 25 20 14 12 12 11 9 6 5 5 6 6 6 6 6 6 5 5 5 5 6 5 4 3 2 1 2 3 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 6 4 4 4 4 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 14 11 9 10 12 14 17 19 19 15 10 7 7 7 7 6 7 6 2 4 4 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 0 2 5 6 6 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 1 4 14 27 35 42 47 64 88 108 111 104 105 109 105 92 82 81 88 92 92 89 84 76 70 72 81 88 103 118 116 118 126 134 143 153 154 147 136 125 125 132 130 109 96 109 129 139 145 144 140 135 131 127 122 116 112 112 116 119 123 120 116 138 178 186 168 151 138 nan nan nan nan nan nan nan 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 7 6 3 1 0 0 0 0 0 0 0 0 0 0 1 2 7 10 7 3 2 1 0 3 8 12 12 9 5 4 4 4 3 2 1 0 1 1 0 0 1 3 8 14 18 22 26 27 27 26 26 27 28 24 16 11 10 10 10 8 5 4 4 5 5 5 5 5 5 4 5 5 5 5 4 3 0 0 0 1 3 4 4 4 4 4 5 6 6 7 7 7 7 6 7 7 6 4 3 3 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 14 14 15 16 15 14 13 11 10 10 9 8 7 6 5 6 5 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 1 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 4 7 14 26 36 42 48 59 76 94 104 106 113 120 113 99 89 84 84 81 78 77 75 72 71 77 93 112 128 131 123 120 125 132 136 142 149 150 146 138 135 143 148 135 121 124 135 140 140 132 122 114 113 115 118 122 122 122 125 129 136 133 124 137 167 178 167 158 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 4 3 2 0 1 4 8 12 10 6 7 10 10 7 4 2 0 0 0 1 2 3 5 8 10 14 16 19 20 20 19 20 23 28 26 15 11 10 9 9 8 6 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 2 0 0 0 0 2 3 4 4 4 4 4 5 6 7 7 7 6 6 6 6 4 3 3 3 3 3 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 6 8 11 11 10 10 9 8 10 11 10 9 9 8 7 6 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 15 21 30 38 45 54 67 81 88 93 109 123 117 106 100 95 87 78 70 70 72 73 78 88 105 123 132 121 113 115 122 125 123 122 128 137 140 136 131 138 152 152 141 138 140 139 132 122 108 100 104 115 125 137 141 144 148 160 166 163 152 151 167 177 170 163 160 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 4 2 1 0 1 3 8 8 5 7 11 13 10 6 3 2 3 4 6 7 8 8 9 11 12 12 13 13 13 12 12 12 15 20 15 12 10 10 9 8 8 6 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 2 3 3 3 3 4 5 6 6 6 6 6 6 6 4 3 3 3 3 3 2 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 0 0 0 0 0 1 2 2 1 2 5 8 9 7 7 6 5 5 5 5 4 4 3 3 2 3 3 2 3 1 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 18 23 28 35 46 59 70 71 76 93 108 105 98 96 95 89 78 68 66 70 76 82 93 109 122 126 119 113 116 123 125 119 115 117 128 138 136 121 119 138 150 142 137 136 137 133 121 108 102 107 126 150 161 164 166 169 177 183 183 176 168 172 180 176 169 166 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 1 0 0 2 5 5 4 4 7 10 9 6 3 3 5 9 13 14 12 10 10 11 11 11 10 10 9 9 9 10 12 14 15 13 11 11 10 9 8 7 4 2 2 3 3 3 4 4 4 4 3 3 3 3 3 2 2 1 0 0 0 0 1 2 3 3 3 3 4 5 6 6 6 6 6 4 2 2 3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 10 11 12 14 14 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 1 3 3 2 2 1 2 4 5 5 4 3 2 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 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 1 3 9 14 18 24 37 53 65 67 66 74 84 83 79 80 83 83 76 65 61 64 73 80 90 103 114 118 116 119 129 135 131 122 114 112 120 135 138 118 103 109 122 128 126 126 130 132 125 116 112 116 132 154 166 169 167 162 155 150 155 165 172 174 176 176 170 166 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 1 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 3 6 6 4 2 2 4 4 3 2 4 7 12 18 19 14 10 9 10 10 10 10 9 8 7 7 8 11 14 14 13 11 11 10 9 8 6 4 2 1 2 2 3 3 3 3 3 2 2 1 1 2 2 2 1 0 0 0 0 0 0 1 2 4 3 3 4 5 5 5 5 5 4 1 2 2 3 3 2 2 2 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 11 12 13 15 15 12 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 2 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 11 25 45 62 69 66 65 67 64 62 63 68 73 70 62 57 60 67 75 84 97 105 108 111 122 141 147 136 122 111 103 106 122 133 122 102 91 100 112 116 120 127 131 129 126 128 132 137 143 146 143 137 124 104 89 92 124 164 184 172 164 160 156 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 7 4 1 0 0 0 1 1 3 6 11 17 19 14 8 7 7 8 9 9 9 8 7 7 7 9 12 12 11 10 9 8 6 4 3 1 1 0 0 1 1 2 2 2 2 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 3 3 4 4 4 4 4 4 4 2 1 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 10 11 13 17 17 14 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 4 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 33 52 64 67 65 64 61 59 58 60 64 64 61 58 59 63 71 79 91 101 101 106 125 150 155 140 120 105 94 92 108 124 124 108 94 98 106 110 116 124 131 133 135 143 152 150 138 120 102 95 87 58 42 42 78 135 171 165 154 151 148 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 1 4 5 8 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 2 0 0 0 0 0 0 1 3 7 11 14 12 9 6 6 6 7 7 8 8 7 7 8 8 9 10 9 7 6 5 2 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 1 2 3 3 3 3 3 3 4 3 1 1 2 2 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 12 10 12 17 19 16 10 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 24 19 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 40 56 64 66 65 66 68 67 66 65 64 62 59 59 59 66 75 83 95 97 101 121 148 154 139 119 100 87 85 98 116 123 113 101 98 100 102 108 120 131 135 139 152 168 171 154 120 89 74 65 47 30 20 37 92 147 157 155 157 150 138 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 2 4 6 8 9 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 2 5 8 9 9 8 7 6 6 6 6 6 6 7 7 7 6 7 6 6 4 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 1 0 0 0 0 0 0 1 3 3 3 3 3 3 4 3 2 2 2 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 12 11 16 20 18 12 5 4 7 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 29 36 35 20 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 31 46 56 60 60 60 62 66 66 66 64 62 57 56 56 62 71 78 84 88 94 110 130 139 132 118 99 83 81 92 111 125 123 109 96 89 92 102 116 131 138 141 154 167 172 163 137 106 82 65 48 31 15 13 56 124 163 174 176 167 148 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 2 3 3 3 4 4 6 6 6 4 3 2 2 1 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 8 7 7 6 7 7 7 7 6 6 5 6 6 6 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 1 1 1 0 0 0 0 0 1 2 4 4 3 3 4 4 3 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 13 12 16 18 14 7 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 37 52 49 36 21 11 6 4 3 1 0 0 0 0 0 0 0 0 0 1 8 22 35 43 46 45 42 41 42 44 46 51 54 53 52 53 59 68 73 74 78 83 92 107 117 119 115 102 85 78 88 106 124 132 126 106 91 91 100 114 128 137 144 152 159 160 156 147 130 109 87 65 49 36 32 61 109 146 177 183 179 168 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 1 1 0 0 1 3 8 11 12 11 9 8 9 10 10 8 5 4 5 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 7 7 8 7 8 7 6 5 5 5 6 7 6 4 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 1 1 0 0 0 0 1 2 4 4 4 4 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 12 11 14 14 9 3 0 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 4 1 6 11 22 41 57 68 60 42 34 32 19 5 0 0 0 0 0 0 0 0 0 0 3 12 24 28 27 27 21 15 16 16 21 29 39 44 44 47 54 64 68 67 67 71 78 85 91 97 103 101 91 82 84 96 113 131 137 126 112 105 107 114 122 131 137 143 146 146 144 146 149 143 128 109 94 84 83 101 120 137 153 157 162 164 160 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 3 2 1 0 0 0 1 5 8 10 10 9 10 14 19 21 20 17 16 16 16 16 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 6 6 7 8 9 8 7 6 6 6 7 7 5 3 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 2 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 11 14 11 6 1 0 0 4 4 5 6 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 13 16 23 23 23 21 19 16 18 35 64 83 82 69 55 37 16 3 0 0 0 0 0 0 0 0 0 0 5 8 13 10 9 5 2 1 0 3 11 22 30 32 36 47 62 68 64 56 54 59 66 67 72 84 87 84 85 85 88 97 115 131 133 126 121 119 120 122 125 127 129 130 129 131 138 151 162 166 156 141 128 120 128 142 148 144 140 140 142 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan 8 3 0 0 0 0 0 0 6 9 9 9 8 6 2 1 0 0 0 0 0 0 0 0 1 1 3 5 8 10 12 12 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 6 3 1 0 0 2 7 14 18 16 8 6 6 6 5 4 2 0 1 2 3 2 1 0 1 1 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 1 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 1 0 0 0 1 2 3 5 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 25 33 29 16 8 13 23 48 85 93 67 41 37 42 36 14 3 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 1 6 11 14 25 45 64 67 57 45 37 38 44 52 57 60 63 68 72 74 76 83 87 87 85 86 91 97 103 110 118 123 123 116 107 105 112 131 156 154 121 79 42 30 34 43 74 118 149 145 140 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 57 49 39 29 28 29 26 21 15 14 14 16 17 15 13 11 10 9 8 8 7 6 10 10 13 19 29 36 35 27 15 6 3 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11 11 10 12 18 24 25 27 26 21 16 14 14 14 14 14 13 14 16 14 10 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 14 14 11 10 10 9 6 5 5 6 7 7 6 6 6 4 2 2 2 1 3 3 4 5 5 6 8 9 10 11 11 11 10 8 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 2 7 12 14 13 3 0 0 0 0 0 0 0 0 5 3 1 0 0 1 6 19 34 40 38 31 28 30 36 40 47 47 50 42 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 32 52 61 64 67 73 81 92 100 99 98 101 96 86 80 76 74 74 77 79 80 80 79 78 74 67 61 61 66 79 99 117 125 125 122 118 116 116 117 123 134 148 161 163 158 147 137 120 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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54 53 54 66 74 65 58 54 55 56 41 21 14 17 20 21 23 25 26 27 29 31 32 31 29 30 34 40 42 45 44 38 34 34 35 33 29 24 18 14 11 7 2 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 1 7 17 24 24 15 5 2 2 7 10 11 12 12 13 16 20 21 18 15 12 8 4 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 8 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 1 0 0 0 0 0 0 0 1 3 7 11 14 16 14 11 7 5 4 4 4 2 3 4 5 6 6 5 4 4 4 6 6 6 6 6 5 6 7 8 8 8 7 6 6 5 5 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 0 1 2 8 12 4 1 0 0 0 0 0 0 1 5 7 4 1 0 3 12 22 28 36 35 22 3 2 1 0 3 6 5 3 1 0 0 1 2 0 0 0 1 6 13 14 9 6 10 17 10 25 28 30 30 41 60 78 80 70 62 63 63 63 64 63 61 61 65 69 72 73 75 75 73 74 72 72 72 73 82 98 116 130 138 140 137 130 117 104 100 108 120 134 144 146 144 145 147 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
25 24 28 46 53 48 47 49 53 55 52 46 43 41 41 42 44 47 47 46 50 47 40 33 33 36 36 32 33 37 40 42 44 45 45 41 40 39 32 23 18 14 8 4 3 2 3 4 7 9 8 4 1 0 0 0 0 0 0 2 9 15 15 8 2 2 5 9 12 13 13 12 11 12 16 21 23 22 18 13 9 4 1 0 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 13 11 8 6 4 4 3 2 1 2 3 3 4 3 2 1 2 4 4 4 3 2 2 2 2 3 4 5 6 6 6 6 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 3 3 4 5 5 3 1 0 0 0 0 0 0 0 2 6 5 2 4 8 13 17 22 34 42 35 10 2 0 0 0 0 0 0 0 0 0 5 13 11 8 12 19 26 27 25 23 20 22 23 23 24 25 23 24 31 49 66 69 60 51 50 50 50 52 55 55 55 54 55 60 63 67 71 72 74 76 77 78 79 84 95 113 132 139 144 146 141 128 112 100 101 113 126 135 135 128 125 130 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 18 17 22 24 26 26 23 18 21 34 46 51 52 54 58 62 69 70 67 66 56 39 34 39 44 42 38 39 43 45 46 47 47 46 43 44 51 53 39 28 22 18 15 12 12 12 16 20 24 23 17 10 7 5 2 1 0 0 0 2 6 7 5 6 8 10 12 14 16 15 13 10 9 11 17 26 31 26 18 14 10 6 3 2 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 10 8 7 5 4 3 2 1 1 1 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 1 2 4 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 4 5 5 4 2 0 0 0 0 1 1 0 0 0 2 2 1 4 8 10 12 15 27 46 51 32 13 3 0 0 0 0 1 1 0 0 3 18 31 32 38 34 30 29 29 29 29 32 32 31 33 34 30 26 26 37 55 59 53 47 48 48 48 50 52 53 52 51 51 51 54 59 65 71 75 78 81 85 83 86 91 110 130 137 141 144 144 140 129 113 103 108 119 130 134 121 110 109 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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33 33 34 38 42 41 40 40 40 40 38 36 33 31 30 31 32 33 33 32 31 32 35 40 44 46 48 51 54 54 52 50 49 50 50 44 28 10 4 5 15 22 24 23 20 18 16 15 11 6 3 5 11 16 23 37 45 47 44 32 19 11 6 5 7 10 13 17 24 28 29 30 23 12 4 0 0 3 11 22 25 10 8 16 28 42 52 52 40 27 19 16 19 20 18 14 11 7 5 4 4 4 4 2 1 0 0 0 0 1 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 5 3 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 5 6 7 8 7 6 4 3 4 5 6 7 6 5 4 4 2 1 1 4 3 3 3 1 0 0 5 20 34 38 41 56 70 68 66 68 67 76 83 86 89 97 107 114 118 121 124 128 127 126 124 121 128 128 127 125 124 122 120 118 117 115 114 115 117 119 122 123 122 117 114 111 106 102 99 98 98 100 100 100 99 98 98 99 100 100 100 101 102 103 103 99 93 93 98 106 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 29 32 35 37 35 32 29 27 25 22 21 21 21 22 25 28 30 30 28 28 29 31 32 33 34 36 42 47 47 44 43 46 51 55 53 38 20 13 15 20 20 20 19 16 15 17 17 10 4 2 5 12 17 21 30 40 42 39 30 22 16 10 5 2 1 1 3 5 10 19 30 31 20 9 3 1 1 2 6 15 20 20 24 30 34 38 42 43 37 26 17 16 18 18 16 12 6 3 3 3 4 5 6 3 1 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 5 5 5 3 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 6 6 5 5 6 5 3 2 1 1 2 3 4 6 5 4 3 2 0 0 1 0 0 0 0 0 1 8 24 39 42 45 62 74 74 70 67 69 80 86 87 88 93 100 103 105 108 113 118 120 120 118 115 117 120 122 124 125 124 123 122 121 119 116 114 115 116 118 120 119 115 110 106 101 97 98 99 99 100 98 96 95 95 96 96 96 95 95 95 98 101 103 104 100 97 98 102 107 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 23 26 26 25 23 20 17 17 16 15 15 16 16 16 16 19 22 24 24 24 24 23 21 21 23 27 34 38 38 36 36 38 43 49 57 45 28 21 23 22 16 12 12 11 12 15 15 8 3 1 3 9 14 17 21 27 32 34 31 28 22 15 8 3 0 0 0 0 2 9 25 35 28 16 8 2 0 0 3 12 27 36 38 36 32 30 35 45 48 38 25 18 18 19 17 12 5 1 0 1 4 5 8 6 3 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 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 2 3 3 4 4 5 6 5 2 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 3 8 9 8 8 7 3 2 2 2 1 0 0 0 0 1 3 6 6 5 3 1 0 0 0 0 0 0 0 1 3 12 31 42 41 41 61 72 75 74 73 76 83 88 88 87 88 91 94 97 99 102 104 104 103 101 98 98 100 103 108 111 112 111 109 107 106 104 102 102 103 102 101 101 99 96 93 88 86 88 89 90 91 91 91 91 92 94 97 98 96 94 93 95 98 101 103 102 100 98 99 101 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 16 16 15 14 13 12 12 13 14 14 14 15 15 15 14 14 14 15 16 16 16 14 13 14 17 20 26 32 35 34 34 34 36 42 54 51 31 25 24 21 15 10 6 6 8 10 10 6 2 0 1 4 9 13 17 22 27 31 33 30 24 18 12 6 2 0 0 0 2 12 24 26 21 14 9 4 1 1 2 12 31 44 47 45 42 39 42 52 54 50 42 32 26 22 18 12 6 2 0 1 4 7 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 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 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 5 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 4 10 10 9 9 8 2 2 1 0 0 0 0 0 1 3 6 8 7 6 4 1 0 0 0 0 0 0 2 4 8 19 35 39 35 32 49 63 71 78 82 83 85 88 89 88 88 90 90 89 90 92 94 94 92 88 85 84 84 84 84 84 84 84 84 82 78 77 80 82 82 81 76 72 76 79 78 75 73 73 74 76 77 78 80 83 85 88 95 97 98 97 97 97 98 99 99 100 100 98 95 95 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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10 10 11 12 14 15 16 17 16 14 13 12 12 12 12 10 8 7 6 8 9 9 10 12 13 13 12 12 16 29 39 40 37 33 32 39 47 46 45 46 47 44 35 23 10 4 3 3 2 1 0 0 0 2 6 11 15 20 23 23 21 20 20 19 15 12 10 10 14 21 15 6 1 0 0 1 1 1 2 5 8 16 22 25 30 39 45 47 50 51 48 44 37 33 24 16 13 15 18 17 15 14 15 17 16 13 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 4 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 0 0 0 0 1 3 6 4 0 2 7 8 8 8 8 7 5 6 8 7 4 1 2 5 7 8 8 7 5 2 1 0 0 0 0 0 0 1 4 8 9 13 24 29 30 32 40 50 60 80 114 127 129 122 111 102 96 96 94 89 83 78 76 76 75 71 70 69 70 72 70 70 70 69 68 70 72 74 79 84 83 78 75 72 74 78 78 75 72 67 62 60 60 55 52 53 58 63 70 77 85 91 95 98 100 102 104 101 100 96 93 92 97 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 13 14 14 15 16 17 17 16 13 11 10 10 10 9 6 4 3 4 5 7 8 10 13 14 13 11 9 11 20 32 33 30 28 27 29 36 44 50 54 57 54 49 42 27 9 3 1 0 1 1 0 0 0 2 6 11 15 18 19 20 21 21 19 16 15 16 17 17 12 5 1 0 0 0 0 1 2 2 4 5 6 8 10 15 26 37 43 46 45 39 31 27 23 16 12 11 16 22 25 22 20 20 22 21 17 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 3 3 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 5 1 6 8 7 7 8 8 5 2 4 7 6 3 0 1 3 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 5 7 8 14 21 26 33 42 48 52 65 97 120 128 133 130 124 116 108 100 93 85 77 72 70 67 63 63 65 72 77 80 82 86 87 88 90 94 98 100 103 103 102 99 97 95 95 94 92 89 85 76 68 62 58 56 54 52 52 56 62 70 79 86 92 96 101 102 102 100 98 96 95 96 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 15 15 16 16 16 17 16 14 12 10 9 9 8 4 2 2 2 2 2 4 6 9 12 14 13 10 7 6 8 12 16 16 15 16 18 23 30 37 43 45 46 47 49 45 27 6 1 0 2 4 3 1 0 1 4 8 11 14 15 18 21 21 18 15 14 14 12 6 1 1 1 1 1 0 2 4 5 6 6 4 2 2 5 8 18 32 40 42 41 34 23 16 14 12 10 11 15 20 26 26 24 25 27 26 21 13 4 0 1 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 9 6 9 7 6 6 8 7 4 2 4 6 5 0 0 0 0 1 3 2 1 0 0 0 0 2 5 5 2 1 0 0 2 4 5 7 10 18 29 40 49 50 52 67 86 104 117 125 131 134 134 124 110 99 88 78 72 69 70 72 77 85 91 96 102 109 112 113 114 116 119 121 118 117 116 116 116 117 116 114 114 116 110 100 87 72 62 58 56 54 51 50 52 55 62 71 80 86 93 98 98 97 97 98 98 97 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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15 15 16 16 17 17 18 18 17 14 11 8 6 5 3 2 2 3 3 2 2 2 3 5 8 12 13 12 11 13 12 12 10 7 3 1 3 6 9 9 9 10 12 21 38 45 31 13 8 10 12 10 5 2 1 2 5 8 10 10 12 15 18 20 24 24 18 15 12 9 9 12 16 18 18 23 31 38 42 45 40 25 10 4 6 14 24 34 37 45 51 50 43 34 27 24 24 22 21 24 28 29 28 30 24 17 11 9 8 7 7 9 13 16 17 13 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 10 8 5 2 2 4 5 5 2 0 1 2 0 0 0 0 0 0 0 0 0 0 2 11 20 26 30 29 25 14 4 0 0 0 0 0 0 1 15 25 40 46 46 46 48 54 60 68 79 90 103 115 124 131 136 134 128 122 118 119 123 125 124 123 122 117 110 105 103 102 100 96 94 95 96 97 96 97 98 98 97 97 99 102 99 89 76 63 54 50 49 46 44 43 44 46 52 61 68 73 76 80 87 93 97 100 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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19 21 21 22 22 23 25 26 25 24 23 20 18 19 19 19 17 14 12 11 9 8 7 6 7 10 12 12 12 12 12 15 18 18 17 15 12 10 8 7 6 7 8 12 17 29 33 30 26 21 15 10 7 5 5 6 9 11 10 8 7 9 10 14 21 30 29 26 23 20 16 15 18 21 24 31 44 55 56 53 55 55 48 38 29 23 21 20 25 38 48 47 40 33 29 29 30 32 33 35 38 37 31 25 25 22 16 12 6 5 6 10 14 16 16 16 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 4 1 1 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 31 52 61 55 43 28 12 1 0 0 0 0 0 0 0 2 9 16 23 30 36 40 40 41 42 46 49 50 48 54 66 80 97 112 122 123 119 111 103 96 92 87 81 76 74 70 64 58 51 48 56 64 66 64 64 65 66 66 65 65 66 71 72 71 68 64 60 56 51 45 39 34 33 36 41 44 47 51 57 64 72 81 90 98 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 16 18 20 21 24 26 26 26 25 23 22 21 22 24 24 22 20 19 18 18 16 14 13 13 16 17 16 14 14 15 18 19 19 19 18 15 13 10 8 5 6 9 12 13 14 21 26 29 30 23 13 7 5 6 7 11 14 14 11 10 11 11 11 16 23 27 26 23 20 16 15 15 15 15 24 40 50 45 34 35 39 39 37 36 30 25 24 29 35 39 39 37 36 35 34 34 37 40 43 45 45 42 38 33 26 16 9 5 6 8 12 15 15 14 14 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 34 58 65 56 43 27 12 0 0 0 0 0 0 0 0 0 2 8 14 20 26 36 40 39 38 38 40 41 40 40 43 50 60 71 94 106 107 101 94 86 81 77 73 71 71 70 62 51 38 32 37 47 52 51 49 50 53 55 54 56 61 67 72 74 73 70 65 60 53 45 37 31 28 29 32 34 36 40 45 52 60 68 77 87 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 14 15 17 20 23 25 26 26 25 24 22 21 21 22 24 23 22 21 21 21 21 20 19 21 23 23 20 18 17 17 18 17 16 16 16 15 13 12 12 11 10 11 11 10 9 12 18 24 32 28 14 6 5 6 9 13 17 18 17 15 14 14 12 12 17 23 25 25 23 20 19 17 16 18 26 36 39 30 18 14 18 21 23 28 30 28 30 34 37 37 37 39 40 40 40 43 48 49 56 53 53 53 50 42 30 18 11 9 9 10 14 15 12 7 5 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 38 61 65 53 42 29 14 4 2 1 0 0 0 0 0 0 0 2 6 11 19 27 35 38 38 37 36 34 32 32 34 38 42 49 63 78 88 89 83 77 73 69 66 68 71 68 58 45 35 30 30 35 38 35 33 38 42 44 49 50 52 60 68 71 70 68 64 58 50 40 30 24 21 23 26 27 28 31 35 40 48 55 64 73 81 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 12 13 14 18 20 22 24 23 22 22 20 18 17 18 18 19 19 19 20 20 20 21 22 24 26 26 23 20 18 17 16 15 13 12 12 12 12 12 15 19 16 14 12 9 8 9 12 17 24 26 12 5 6 9 12 15 19 21 20 19 17 16 14 12 14 19 23 24 23 24 24 23 22 22 21 24 26 21 14 11 11 13 15 20 26 29 33 35 38 37 36 38 42 44 46 50 56 56 60 38 34 45 52 48 38 28 20 16 15 16 17 14 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 8 25 51 69 65 49 37 28 18 9 5 2 1 0 0 0 0 0 0 0 1 4 13 18 22 31 37 38 37 34 32 31 31 33 35 39 45 53 61 67 65 61 60 59 60 60 66 63 56 48 39 34 32 32 32 31 30 31 34 36 42 46 49 52 57 61 64 62 57 49 41 33 23 14 13 17 23 26 26 25 26 31 37 43 50 59 67 69 nan nan nan nan nan nan nan nan nan nan nan nan nan
12 11 11 12 13 16 18 19 19 18 17 16 14 13 13 13 14 15 16 17 17 18 19 21 23 24 24 22 20 17 15 15 13 11 9 9 10 10 12 16 21 20 16 13 11 9 9 10 14 21 24 18 11 12 14 15 18 20 22 21 21 20 19 16 11 12 17 21 21 20 21 24 25 24 22 19 19 21 21 17 11 10 12 16 20 23 28 32 34 34 33 34 37 42 46 49 51 54 55 56 55 56 57 58 56 49 39 31 29 31 28 20 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 1 0 0 0 0 0 0 1 1 1 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 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 0 0 0 0 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 2 2 4 2 0 0 0 0 0 0 2 5 7 5 2 0 0 0 0 0 1 14 41 66 72 57 40 32 28 21 9 5 2 0 0 0 0 0 0 0 0 0 2 7 12 16 22 28 34 40 39 35 32 32 33 34 35 36 41 46 51 52 52 55 59 59 59 58 57 53 47 41 36 33 30 28 27 27 27 28 30 33 36 39 40 41 42 46 50 44 37 32 29 24 19 15 15 20 23 26 26 22 23 27 33 40 47 54 58 nan nan nan nan nan nan nan nan nan nan nan nan nan
11 10 10 10 11 12 13 14 15 14 13 14 14 12 11 11 11 12 14 14 14 15 16 18 20 21 21 20 19 18 18 17 14 11 8 8 9 9 10 14 18 21 19 16 14 14 11 9 12 18 25 25 21 20 20 20 19 20 22 22 22 22 21 16 10 10 16 18 17 15 15 19 21 19 19 19 20 21 21 16 11 8 11 17 22 25 27 30 30 28 28 31 36 43 48 48 45 44 47 51 55 60 62 59 57 52 44 39 42 43 34 20 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 3 2 1 0 0 0 0 1 2 3 3 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 6 6 6 2 0 0 0 0 0 1 6 16 21 14 4 1 0 0 0 0 4 24 54 67 60 42 33 31 28 21 11 5 2 0 0 0 0 0 0 0 0 0 2 4 7 10 13 18 24 30 34 32 30 31 33 35 36 36 35 37 41 44 47 50 52 54 54 54 53 48 43 40 37 33 29 27 25 23 21 21 23 26 28 28 27 26 25 28 31 30 29 27 27 26 23 19 18 19 21 22 21 20 19 19 22 29 37 44 50 nan nan nan nan nan nan nan nan nan nan nan nan nan
12 12 12 13 13 13 14 15 14 13 13 14 14 12 11 11 11 11 12 12 13 14 15 15 16 17 18 18 19 20 21 20 16 13 10 9 9 9 9 11 15 19 20 20 18 16 14 10 9 12 19 24 26 27 27 24 21 21 22 22 22 22 21 15 8 8 13 15 15 13 12 17 20 20 20 22 21 18 15 12 8 7 10 15 19 20 22 24 26 24 26 31 36 41 44 43 38 35 40 49 55 56 54 50 46 46 47 49 54 48 34 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 4 3 2 1 0 0 0 1 3 4 5 5 5 5 5 4 3 2 2 2 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 10 10 7 3 0 0 0 0 0 2 13 31 38 26 9 1 0 0 0 3 17 39 54 52 41 34 33 31 26 19 12 6 1 0 0 0 0 0 1 0 0 1 3 4 4 4 6 10 15 19 18 19 20 22 26 30 33 34 33 31 32 36 40 43 45 47 49 51 50 46 42 40 38 34 30 26 21 16 12 12 14 16 19 18 14 13 12 13 16 20 22 23 26 27 27 19 17 17 17 18 18 18 17 17 16 19 26 34 40 nan nan nan nan nan nan nan nan nan nan nan nan nan
18 19 19 19 19 19 20 20 19 18 18 18 16 14 12 11 11 11 11 12 12 13 14 15 15 16 16 17 17 19 20 20 18 14 12 10 10 10 10 11 12 15 18 21 21 19 15 12 9 8 10 14 21 28 31 29 24 22 22 22 21 21 21 15 8 6 9 12 12 11 11 19 26 25 24 20 16 12 10 7 6 7 9 12 14 15 16 20 22 23 27 32 35 35 33 34 32 32 37 45 50 50 47 44 39 39 47 55 58 46 32 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 5 5 4 2 1 1 2 3 4 5 5 5 5 5 5 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 13 11 8 3 1 0 0 0 0 3 16 38 47 34 15 3 0 0 1 9 30 44 43 36 32 34 35 33 26 20 14 7 0 0 0 0 1 2 3 2 1 2 3 4 4 4 5 5 8 10 11 11 11 11 14 17 21 26 26 24 24 27 31 34 37 39 42 45 45 40 37 36 31 28 24 19 13 9 7 5 6 7 8 8 7 6 4 3 5 10 13 17 22 24 21 16 14 11 9 10 12 13 15 17 17 16 18 24 30 33 nan nan nan nan nan nan nan nan nan nan nan nan
24 26 26 26 26 26 26 26 26 26 25 23 22 20 17 15 14 13 12 12 12 12 13 14 14 15 15 13 13 14 16 17 18 16 13 11 11 10 11 11 11 12 14 16 19 21 18 14 12 10 10 11 17 26 32 31 26 23 21 20 18 19 19 13 7 5 6 8 8 8 12 23 32 24 20 14 10 8 6 4 3 6 10 11 11 12 14 19 22 24 28 32 31 27 24 24 28 33 38 45 50 51 48 44 40 40 44 43 38 31 25 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 5 5 3 2 2 3 4 5 5 5 5 5 5 5 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 16 15 11 7 3 0 0 0 0 0 1 10 32 44 38 23 12 6 4 9 20 39 41 34 30 31 33 33 30 25 20 15 10 3 1 1 1 3 5 5 5 3 2 1 2 3 3 4 4 5 6 6 6 6 6 7 8 9 9 11 12 14 17 21 24 26 28 31 35 35 31 26 20 16 15 13 9 6 3 2 0 1 1 1 3 4 3 1 0 0 1 5 8 11 12 11 10 8 5 2 2 3 6 9 13 16 18 19 19 22 26 nan nan nan nan nan nan nan nan nan nan nan nan
24 26 28 30 30 30 29 28 29 29 29 28 26 25 24 22 20 19 17 16 14 14 13 13 13 13 12 9 6 6 9 12 17 18 17 16 14 13 12 11 11 11 11 12 16 18 19 18 16 16 16 16 18 24 30 32 28 24 20 16 14 13 13 9 6 4 4 5 5 7 15 28 35 24 15 11 8 6 5 2 1 4 9 12 12 12 14 19 21 23 28 30 27 21 19 21 26 36 44 50 52 50 44 38 34 34 30 17 11 11 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 5 6 5 4 4 4 4 4 5 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 19 16 10 6 2 0 0 0 0 0 0 4 14 26 29 25 21 24 30 35 38 39 32 27 25 26 25 24 22 20 17 14 10 5 3 3 4 5 6 6 5 4 2 0 0 0 1 2 3 4 5 5 5 4 2 3 3 4 2 0 1 4 6 9 12 12 16 19 22 21 16 12 9 7 5 3 2 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 3 3 3 3 3 1 0 0 0 1 4 8 13 19 22 22 21 23 nan nan nan nan nan nan nan nan nan nan nan nan
22 24 27 30 31 30 28 28 28 28 28 27 27 27 28 27 26 26 26 24 22 20 17 14 13 13 12 8 5 4 5 9 14 18 20 20 18 16 14 12 12 12 12 12 15 18 19 20 20 21 22 22 22 23 26 31 33 27 20 14 9 6 6 5 4 4 5 5 5 9 18 33 38 27 16 12 9 7 7 4 1 3 8 11 12 13 15 18 20 23 27 30 28 23 20 21 26 36 45 48 43 33 24 18 16 18 15 6 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 4 3 2 2 1 0 0 0 1 2 2 2 2 2 2 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 19 15 9 5 1 0 0 0 0 0 0 1 3 6 9 11 14 24 38 44 38 29 20 15 14 13 11 9 10 10 9 10 7 5 5 5 6 6 7 7 6 4 1 0 0 0 0 0 1 3 4 5 4 3 1 0 0 1 0 0 0 0 0 1 2 2 4 8 10 8 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 14 19 22 24 23 nan nan nan nan nan nan nan nan nan nan nan nan
20 22 27 30 31 31 28 27 26 26 25 24 24 25 26 27 28 29 30 31 31 29 27 24 21 19 17 14 11 9 8 9 12 15 18 18 18 18 18 16 15 15 14 14 16 18 20 20 22 25 26 26 24 23 22 24 32 31 21 12 7 4 2 2 2 3 5 7 7 13 22 36 40 31 19 16 15 18 20 15 5 2 5 9 11 12 14 16 20 23 26 29 28 25 23 23 27 32 36 32 21 10 5 6 7 10 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 6 5 5 4 4 5 5 4 5 5 5 5 5 5 4 4 3 2 1 2 3 3 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 19 13 7 4 1 0 1 2 1 0 0 0 0 0 0 0 2 7 15 22 18 10 3 2 3 3 2 2 3 5 6 6 6 6 7 7 8 8 8 7 5 3 1 0 0 0 0 0 0 1 3 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 1 0 1 4 7 12 14 17 21 22 23 nan nan nan nan nan nan nan nan nan nan nan
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