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