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