Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 5 5 5 4 4 5 5 5 5 5 4 3 3 2 2 2 2 3 4 3 3 3 3 3 3 3 3 3 4 4 3 2 1 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 5 5 5 4 4 4 5 4 3 3 4 6 7 8 7 7 5 4 4 3 4 4 5 5 6 6 7 8 7 6 4 3 3 11 17 12 6 5 8 11 5 -5 2 4 2 2 6 2 5 9 6 5 5 4 4 5 8 5 5 7 5 2 5 5 -0 -2 2 8 8 4 5 9 10 5 1 2 -1 -4 -1 -0 1 5 4 0 -2 -3 -0 1 3 7 5 3 6 5 1 -2 -4 -4 -3 -2 -0 4 18 32 26 12 7 5 4 5 6 7 9 11 9 8 6 4 4 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 4 5 6 5 4 4 3 3 3 5 7 7 6 4 4 4 3 3 4 5 4 4 3 3 5 6 7 4 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 6 4 4 4 3 4 4 3 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 7 10 19 24 17 12 11 10 7 1 -4 -9 -9 -11 -5 1 2 4 5 2 2 1 1 1 -6 -12 -11 -10 -10 -9 -4 2 5 5 5 6 8 12 16 17 17 13 8 7 8 7 7 7 6 7 10 11 10 9 10 10 10 10 10 10 9 7 5 5 5 5 4 4 3 5 6 8 8 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 5 5 5 5 5 4 4 4 5 5 5 5 4 4 2 2 1 1 2 3 4 4 3 3 3 2 2 2 2 2 3 2 2 1 1 1 2 3 3 3 4 4 4 4 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 4 3 3 3 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 5 4 5 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 4 4 5 5 4 3 3 5 6 7 7 7 5 5 4 3 4 4 4 5 6 6 8 8 7 6 5 4 6 16 19 11 6 6 12 19 8 -1 5 3 4 6 6 4 4 4 6 7 9 7 7 12 11 7 6 5 3 5 10 6 -0 -3 1 9 9 4 -0 2 5 3 -2 -3 -1 4 6 3 5 8 7 4 3 -0 -4 -2 3 10 9 6 3 -2 -4 -3 -0 1 3 6 6 11 22 27 17 8 5 5 5 5 6 8 11 11 9 7 5 4 3 3 3 2 2 3 4 5 5 5 5 4 4 5 5 5 5 5 5 4 3 2 2 3 4 4 4 3 2 2 3 4 5 6 5 4 3 2 4 6 7 7 5 4 4 4 4 4 5 5 6 5 4 4 3 1 -1 1 2 2 1 1 2 2 2 2 2 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 4 3 4 4 4 5 5 4 3 3 2 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 10 16 19 17 16 15 15 13 10 8 3 2 1 3 5 8 9 6 7 6 2 2 2 -1 -5 -4 -5 -5 -4 -0 4 6 5 5 5 5 7 9 12 10 5 5 6 6 6 6 5 6 6 6 5 6 7 6 7 8 9 9 9 7 5 5 5 5 5 5 4 4 5 6 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 5 5 4 4 4 3 4 4 4 5 6 5 4 3 2 2 2 2 3 4 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 2 2 2 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 5 5 5 5 6 6 5 5 5 5 5 5 4 3 4 5 6 7 7 6 5 4 3 3 4 4 4 5 6 8 8 7 6 5 5 9 17 18 15 7 4 13 17 4 3 7 0 4 10 7 5 3 2 2 4 7 5 5 9 10 8 6 4 3 8 11 7 4 1 3 9 9 5 1 -0 -2 -2 -3 0 8 11 5 2 3 7 9 7 6 2 -1 1 3 7 9 3 -6 -7 -4 1 6 9 10 10 12 20 26 20 10 6 5 5 5 6 7 10 12 11 8 6 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 3 2 1 2 3 4 3 2 3 4 3 3 5 6 7 7 5 5 5 5 5 5 6 6 6 6 5 4 3 0 -5 -8 -3 -0 -4 -5 -1 2 2 2 3 3 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 4 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 4 4 4 4 4 4 5 8 12 14 15 14 13 13 12 10 8 8 7 8 7 5 4 5 7 7 4 2 4 6 5 6 7 6 4 4 5 6 6 5 5 5 5 5 6 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 7 8 8 8 7 6 5 5 4 4 5 5 5 5 6 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 4 5 5 4 3 3 3 4 3 4 6 6 6 5 4 3 3 3 3 3 4 4 4 3 3 3 3 3 2 2 2 1 1 1 1 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 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 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 4 5 5 6 6 7 6 6 6 6 6 6 6 5 4 4 4 6 7 7 6 5 4 4 3 3 4 4 5 6 8 8 7 6 5 5 9 14 13 14 7 1 7 9 3 6 8 4 3 8 9 4 1 3 4 3 2 1 1 3 5 4 4 4 1 1 3 5 8 8 8 8 7 4 4 5 2 -1 -2 5 16 13 4 2 2 9 12 8 4 0 1 4 5 8 5 -4 -6 -4 1 6 12 14 14 14 19 27 26 15 7 5 5 5 6 7 8 11 12 11 7 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 3 3 3 3 4 4 2 1 1 2 3 3 2 1 4 5 4 4 6 7 6 6 5 6 6 6 5 5 5 6 6 6 6 5 3 5 -1 -10 -7 -3 -5 -6 -1 2 2 3 3 4 5 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 6 9 12 12 9 9 11 10 9 9 9 10 11 7 3 2 4 7 8 7 6 6 7 10 12 10 7 7 7 7 6 6 6 5 6 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 6 6 6 6 7 8 8 8 6 4 4 4 4 5 4 4 5 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 4 4 4 5 4 3 3 3 3 3 4 6 6 6 6 5 4 4 3 3 4 4 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 5 4 5 5 5 6 6 6 5 4 4 4 5 5 6 7 7 7 7 6 6 7 7 7 6 5 4 4 5 6 6 5 5 5 4 3 3 3 4 5 6 7 8 7 6 5 5 8 9 8 9 7 4 6 3 3 8 7 7 4 5 9 5 1 3 7 7 3 1 1 2 1 -1 -0 0 -1 -1 1 2 11 14 11 7 4 3 4 6 7 7 4 7 12 10 8 7 9 11 8 6 10 8 7 5 5 3 -1 -3 -1 2 6 11 17 19 20 23 28 29 21 10 5 5 5 5 6 8 9 11 12 10 6 4 4 4 4 4 4 5 6 6 5 5 5 4 5 6 6 6 6 6 5 5 4 3 3 3 2 3 4 3 2 2 1 2 3 3 4 5 5 5 4 4 5 6 6 5 5 6 6 6 5 5 6 6 6 6 6 5 5 5 3 -3 -8 -4 4 6 3 3 3 3 4 5 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 3 3 4 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 1 1 1 2 3 4 6 8 7 7 9 9 8 8 6 7 11 12 8 6 6 9 13 12 12 12 10 9 9 6 6 6 7 6 6 6 7 7 6 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 6 6 6 6 7 7 7 7 6 5 4 4 4 4 5 5 4 5 6 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 3 4 4 4 4 4 3 3 2 2 3 3 4 5 5 6 5 5 4 4 3 3 5 5 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 4 4 5 6 7 8 8 7 8 7 7 6 6 7 7 6 5 4 4 6 6 5 5 4 4 4 3 3 4 4 5 7 8 7 6 5 5 6 7 9 10 7 4 6 3 1 8 7 7 5 2 5 5 3 3 7 9 6 3 1 0 -1 -1 -0 -0 1 7 12 9 9 12 10 4 0 -2 2 3 4 7 8 5 4 2 3 9 14 9 3 5 11 12 9 4 3 -0 -1 2 5 7 11 17 23 26 29 33 33 24 14 7 5 4 5 6 7 8 9 11 11 9 6 5 4 4 5 5 5 6 6 6 5 4 4 5 5 6 6 6 6 6 6 5 3 3 3 3 3 3 3 3 3 1 1 3 4 5 5 5 4 3 3 4 5 5 5 5 5 5 6 5 5 5 6 6 7 7 6 5 5 4 5 2 -4 -4 4 10 6 3 3 4 5 6 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 4 3 2 0 -0 -1 -2 -4 -4 -2 -4 -3 -0 1 3 5 6 6 7 7 7 4 3 6 12 13 12 9 12 14 15 14 12 9 6 5 4 4 5 6 5 5 5 6 7 6 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 6 6 6 5 4 4 4 5 5 4 4 4 6 9 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 3 3 3 3 3 4 4 3 3 3 2 2 2 3 3 4 5 4 4 4 5 4 3 4 4 5 5 6 6 5 5 5 4 3 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 3 3 2 2 2 2 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 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 6 6 5 5 4 5 7 7 8 8 8 7 7 7 7 6 6 6 6 5 4 4 5 6 5 5 4 4 3 4 3 4 4 4 6 7 7 7 5 5 5 7 11 13 8 3 6 5 3 6 3 4 6 4 4 6 6 4 7 6 4 5 4 1 -0 1 2 1 2 10 14 11 6 9 7 4 -0 -1 2 -1 -1 1 4 3 8 7 -0 0 14 12 3 2 5 7 9 4 2 1 1 3 6 10 17 24 29 32 35 36 27 16 8 6 5 4 6 7 8 8 9 10 10 9 7 6 5 5 5 6 6 6 6 5 4 4 4 5 5 6 6 6 7 6 5 4 3 3 3 3 3 3 4 3 2 1 2 3 4 5 4 5 4 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 5 4 4 4 2 -3 -4 1 4 3 3 4 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 5 5 6 6 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 3 2 1 -1 -2 -4 -5 -4 -3 -1 0 -0 1 2 3 4 4 6 5 5 7 6 3 2 4 7 10 13 14 13 11 7 5 4 5 4 4 4 4 5 5 4 2 0 2 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 8 7 6 6 6 6 5 5 4 4 4 5 5 4 4 5 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 2 2 2 3 4 4 4 3 2 3 3 3 3 3 4 3 3 4 4 4 4 3 4 4 4 5 6 6 7 8 7 6 5 4 3 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 2 3 2 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 4 4 4 3 4 3 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 7 8 8 7 7 8 7 7 7 6 6 7 6 5 4 5 6 6 5 4 4 3 3 3 3 4 4 5 6 6 6 6 5 5 7 9 10 9 6 7 7 7 7 5 2 3 4 3 7 8 6 8 3 -0 3 4 2 1 2 -0 -1 2 5 7 8 5 7 5 3 3 11 12 4 -1 -4 -3 3 14 14 9 3 4 7 3 1 3 5 6 3 1 2 3 3 5 13 22 29 32 33 34 28 17 9 6 5 5 5 6 8 8 8 8 10 10 9 8 7 7 6 6 6 6 6 6 5 4 4 4 5 5 6 6 6 6 6 4 3 3 4 4 3 3 3 4 3 2 2 2 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 7 6 5 5 6 6 7 6 5 5 5 5 6 4 -1 -2 2 4 4 5 6 6 5 5 5 5 6 6 6 5 4 4 4 4 4 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 6 5 5 5 5 4 4 3 2 0 -1 -3 -2 -0 2 3 5 6 6 6 6 5 4 6 5 4 6 8 6 3 1 -0 3 8 10 9 6 3 3 4 4 4 4 4 4 5 6 6 2 -4 -5 -2 3 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 7 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 4 5 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 1 2 3 3 4 3 2 2 3 3 4 4 3 3 3 3 3 4 4 4 3 3 3 4 5 5 6 7 8 9 9 8 6 5 4 4 4 4 5 5 4 4 4 3 2 2 3 3 3 3 3 3 3 2 2 3 2 2 2 3 3 3 3 3 3 3 2 2 2 3 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 4 4 4 3 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 5 5 5 6 7 8 8 8 7 7 7 8 9 8 7 7 7 7 6 4 4 6 6 5 4 4 4 3 2 3 3 4 5 5 6 5 6 5 5 5 6 7 9 9 8 7 8 9 7 7 9 8 3 4 6 8 9 4 0 1 2 3 2 3 2 2 5 5 6 7 4 4 3 0 6 20 20 12 5 -1 -5 2 9 8 7 9 3 2 4 3 5 7 3 2 -1 0 3 4 9 18 23 26 28 30 26 17 9 7 5 5 5 6 7 7 8 8 8 9 9 9 8 7 7 6 6 6 6 6 5 4 4 4 4 5 5 5 5 6 6 5 4 3 4 4 4 4 3 4 3 3 2 2 2 4 4 4 4 7 10 9 7 6 5 5 6 6 5 4 4 5 6 5 5 5 5 4 4 5 6 7 7 7 7 7 5 0 1 4 4 5 5 5 4 4 5 5 5 6 5 5 4 4 4 3 3 4 5 5 5 5 5 4 4 3 3 3 4 4 4 5 4 5 5 5 6 6 6 7 6 7 7 6 6 6 5 5 5 5 6 6 6 6 5 4 5 4 4 4 5 5 3 -1 0 2 1 1 3 4 5 7 7 6 5 4 5 4 5 5 6 7 7 5 1 1 4 8 7 5 4 4 3 4 4 5 4 4 5 7 9 8 2 -3 -6 -2 4 4 3 4 4 4 4 4 5 5 5 5 6 5 6 5 6 7 8 8 6 6 6 6 6 5 5 5 5 6 5 5 5 5 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 3 2 2 3 3 3 2 2 2 2 3 4 4 3 3 3 2 3 3 4 4 3 3 3 3 4 4 5 5 7 8 9 8 7 7 6 6 7 7 7 7 6 5 5 5 3 3 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 3 3 2 2 2 1 1 1 2 2 2 3 3 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 6 6 6 6 6 7 8 8 8 7 7 8 9 10 10 9 8 8 8 7 5 4 5 6 5 3 3 3 3 2 2 3 4 5 6 6 5 5 5 5 4 4 6 9 11 9 5 5 4 3 7 10 9 8 7 6 6 8 7 5 3 5 8 7 7 8 8 8 5 4 2 1 1 -1 -3 9 19 18 15 12 6 -1 5 7 7 5 5 7 5 3 3 3 6 5 3 1 2 5 7 13 16 16 18 22 22 16 9 7 6 5 5 6 7 7 7 8 8 8 8 9 9 8 7 7 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 3 3 4 4 4 4 4 3 3 3 2 2 3 4 4 4 6 8 12 14 13 11 10 8 8 7 7 6 4 5 5 5 5 5 4 3 4 6 8 8 7 7 7 7 5 3 3 4 5 5 5 5 4 4 5 5 5 6 5 6 5 4 4 4 4 4 5 6 5 5 6 5 5 4 4 4 3 4 4 4 4 5 5 5 6 6 6 7 6 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 7 8 7 4 5 5 3 1 1 3 4 4 5 5 5 5 4 5 7 7 7 8 9 9 6 4 6 7 7 6 5 4 4 4 4 5 5 4 5 7 10 12 9 6 3 -1 2 4 4 4 4 4 4 4 5 6 6 7 7 7 7 6 5 6 7 8 7 7 7 6 6 6 5 5 6 7 6 5 5 5 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 5 5 5 4 3 4 4 4 2 2 2 3 3 4 4 3 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 4 5 5 5 6 6 7 7 7 8 8 9 8 6 5 5 5 4 4 3 2 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 5 5 5 5 6 6 6 6 6 7 7 8 8 8 7 8 9 10 13 12 10 9 9 8 7 6 5 5 6 6 4 3 3 3 3 3 4 5 6 6 6 6 5 5 5 4 4 7 12 15 12 6 2 1 2 2 4 4 5 6 5 3 5 10 9 7 7 8 11 11 11 8 5 2 1 -0 -1 1 0 -1 9 12 12 14 12 6 3 7 4 6 7 6 5 3 1 -2 -0 5 6 6 6 7 8 9 11 9 7 12 15 13 9 8 7 6 5 5 6 7 7 7 8 7 7 8 8 8 8 7 6 6 6 6 5 5 4 4 4 3 4 4 4 4 4 5 5 4 3 3 4 4 4 4 4 3 3 3 2 2 3 3 3 4 5 7 9 12 15 15 15 14 12 10 9 9 10 8 6 5 6 5 4 4 5 7 9 8 8 8 9 8 7 7 6 5 5 5 5 4 4 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 5 4 5 5 6 6 6 7 6 6 6 6 6 6 6 4 5 4 4 4 3 2 2 3 4 5 6 6 8 9 8 7 7 7 5 3 3 4 5 6 6 5 5 6 9 11 11 10 9 7 7 6 5 5 6 6 6 6 5 5 4 4 4 5 4 5 6 8 12 10 7 6 3 2 5 5 5 4 4 5 5 5 6 7 9 10 10 9 7 6 6 6 7 7 8 8 7 6 7 6 6 6 7 7 7 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 6 5 5 5 5 3 2 2 3 3 4 5 4 3 3 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 7 7 8 7 6 6 6 5 5 5 4 3 3 3 3 3 3 2 2 2 2 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 2 2 2 3 2 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 6 6 6 6 6 7 8 8 8 8 8 9 10 13 14 14 12 10 10 9 8 6 4 5 6 6 5 3 3 3 3 4 4 6 7 6 6 6 6 6 5 4 5 10 17 20 13 7 1 1 5 4 3 2 -0 2 1 1 3 8 10 6 4 4 10 13 12 7 2 1 4 2 -0 2 3 3 7 7 7 10 9 5 3 2 2 5 5 6 3 4 6 2 -1 3 6 7 8 10 9 9 9 8 7 10 11 8 7 7 6 6 5 6 6 6 7 7 7 7 7 7 8 8 7 6 6 5 5 5 5 5 4 3 3 4 4 3 4 4 4 5 5 4 3 3 3 3 3 3 4 3 3 3 2 2 2 3 3 3 4 5 6 7 9 10 12 13 12 12 12 12 12 11 9 8 7 6 6 6 7 9 11 12 14 14 14 13 11 11 7 5 4 5 4 4 4 4 5 6 6 6 6 7 7 7 6 6 5 5 5 6 6 6 5 5 5 4 3 -0 -3 -3 2 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 1 1 -0 -1 1 2 3 5 5 6 6 6 7 8 7 5 5 5 7 8 7 10 12 10 9 10 12 10 7 5 4 3 3 4 5 6 7 7 6 5 4 4 4 4 4 5 5 6 8 8 5 3 1 1 5 6 6 5 5 5 5 5 6 8 9 11 13 12 9 7 6 6 6 7 8 7 7 8 8 8 7 7 7 8 7 7 6 6 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 6 5 6 6 6 6 6 5 4 3 3 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 5 6 6 6 6 6 5 5 5 5 4 4 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 4 4 3 3 3 2 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 6 5 5 4 5 4 5 5 5 5 5 6 6 7 8 8 8 9 10 11 13 14 15 14 13 12 11 10 8 6 5 5 6 7 6 4 3 3 4 4 6 8 7 5 6 7 7 6 5 4 5 11 20 17 7 4 0 4 10 10 1 3 4 7 3 1 2 5 8 7 4 2 6 11 12 9 3 1 2 2 2 2 3 5 5 6 7 9 8 4 1 -1 5 6 5 5 3 5 9 9 3 1 7 8 8 9 10 9 9 9 10 10 7 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 6 5 5 4 4 3 3 4 4 3 4 4 5 6 6 5 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 2 3 3 3 4 4 5 5 6 7 8 8 8 8 9 9 9 9 9 9 9 11 12 12 13 15 17 19 17 16 11 6 4 4 4 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 -1 -5 -8 -4 2 5 5 6 5 4 4 3 3 3 3 4 4 4 4 4 3 3 2 2 2 1 -0 -1 -2 -4 -3 -3 -2 -1 -1 3 5 5 6 6 5 4 5 6 6 7 8 11 12 10 8 7 8 7 5 5 4 3 3 3 4 6 7 7 6 5 5 5 4 3 4 4 5 5 5 6 7 6 3 1 4 6 7 6 6 6 5 5 5 7 8 12 15 15 11 8 6 5 6 7 7 7 9 11 12 12 10 8 7 8 8 8 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 5 5 6 6 5 6 5 4 4 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 2 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 2 2 2 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 2 3 3 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 7 8 8 8 9 11 13 15 15 15 15 14 12 12 11 8 6 4 5 6 7 6 5 4 4 4 5 6 8 6 4 6 8 8 7 4 4 5 9 14 9 2 -1 1 10 6 6 0 5 10 11 6 1 2 6 8 9 8 5 5 8 11 9 6 3 -0 -1 3 6 5 6 6 10 11 11 10 6 3 2 7 6 6 5 7 7 7 8 6 5 7 8 8 10 11 10 9 9 11 9 6 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 6 6 6 6 5 5 5 4 4 4 4 4 3 3 4 5 6 5 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 5 6 7 9 10 10 10 10 10 9 8 9 12 15 16 14 8 5 5 5 4 3 3 3 3 4 4 4 4 4 3 2 3 4 2 1 4 6 6 6 6 6 6 6 6 4 4 3 1 -2 1 5 6 7 7 6 5 3 2 1 1 1 1 1 0 1 1 0 -0 0 0 -1 -2 -3 -2 -2 -2 -2 -3 -2 1 3 4 5 7 6 6 7 9 11 9 8 9 8 7 8 8 7 6 6 5 5 5 4 3 3 4 7 8 7 6 6 6 5 5 4 4 4 4 4 4 5 6 8 8 5 5 7 6 6 6 7 8 7 3 4 7 11 14 16 14 10 6 5 6 6 6 7 11 15 19 20 17 11 8 7 8 8 7 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 4 5 5 5 5 5 4 5 4 3 2 3 4 5 6 7 6 5 5 4 4 4 5 4 3 3 4 4 4 4 5 4 3 2 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 7 8 8 9 11 12 14 15 16 17 17 15 13 12 10 8 6 4 4 6 7 7 6 5 4 4 4 6 7 5 5 7 9 9 7 6 5 6 6 8 7 6 1 7 12 3 -2 2 2 12 10 8 3 3 6 6 7 12 10 7 8 9 7 7 7 3 -0 4 9 7 4 4 9 12 10 9 7 5 5 6 6 7 8 10 9 7 7 8 7 7 7 9 11 11 9 7 9 10 8 8 9 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 3 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 1 2 2 3 3 4 4 5 5 6 6 6 6 5 5 6 7 7 8 10 9 6 6 6 5 5 4 4 4 4 3 3 3 3 2 0 -3 -4 -2 -4 -8 -6 0 5 6 6 6 6 6 8 9 10 9 8 8 4 3 6 7 7 7 7 5 4 3 1 0 -1 -2 -3 -4 -4 -6 -8 -9 -9 -7 -4 -2 1 3 4 5 3 3 4 4 4 5 7 9 10 11 14 17 16 14 10 6 5 7 7 7 7 7 6 6 5 4 3 3 4 6 8 7 6 6 7 6 5 5 5 4 4 4 3 4 5 6 7 7 6 6 6 5 6 7 10 12 7 3 6 9 12 16 18 13 6 4 5 5 6 8 12 18 24 29 26 17 9 7 8 8 7 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 3 3 4 4 5 5 5 5 5 5 5 4 3 3 4 4 6 7 7 6 5 4 4 5 5 4 4 4 3 3 3 4 4 4 4 3 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 6 6 6 5 3 2 3 2 2 3 3 2 2 3 3 3 3 4 3 3 3 3 4 5 5 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 7 7 8 10 12 13 15 16 18 20 19 16 13 11 9 7 5 4 5 6 7 7 7 5 4 4 4 5 5 6 7 8 9 9 8 7 7 6 4 5 7 10 7 9 6 8 4 10 5 8 7 12 12 8 5 3 3 9 11 6 4 7 9 8 7 5 4 6 9 10 5 1 5 9 5 3 4 6 5 6 7 7 8 9 6 6 8 9 7 6 8 10 11 9 6 5 7 7 7 9 10 8 6 5 6 6 6 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 5 5 6 6 7 7 7 6 6 6 6 6 6 6 5 6 5 5 5 4 4 4 3 3 2 1 -1 -2 -2 -5 -9 -7 -1 5 6 6 6 7 9 11 14 13 10 8 5 3 4 5 6 6 7 6 5 4 3 2 0 -2 -3 -4 -6 -10 -14 -15 -12 -4 -0 1 4 4 5 5 5 3 2 3 4 4 6 8 10 4 3 11 14 10 7 4 4 5 6 7 8 8 7 6 6 5 4 3 4 6 7 6 6 6 6 6 5 5 5 5 5 4 3 3 4 5 5 6 7 6 5 4 5 7 9 13 12 6 6 8 10 15 17 13 9 6 5 5 6 8 10 16 24 28 27 18 8 6 8 8 7 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 3 4 3 3 3 3 4 5 5 5 5 4 4 4 4 5 5 6 6 5 4 4 5 5 5 4 4 3 3 2 4 5 5 5 4 4 4 5 6 6 6 6 6 7 6 6 6 5 5 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 6 7 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 7 7 8 10 13 15 16 19 20 20 18 16 12 9 7 6 5 4 5 6 7 8 7 6 5 5 4 5 5 7 9 10 9 9 8 7 7 5 4 6 7 9 13 7 0 9 12 14 7 6 9 14 15 12 6 4 1 4 6 2 2 8 12 10 8 5 5 7 7 9 9 2 2 8 4 -1 3 7 6 5 7 7 5 5 3 5 9 8 5 5 9 11 10 7 5 4 6 5 7 11 10 6 5 5 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 3 4 4 3 3 2 2 2 2 4 5 6 7 7 8 8 7 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 7 10 9 6 7 6 1 -4 -5 -1 3 4 4 5 7 9 12 13 10 4 3 3 2 3 3 3 4 3 1 -1 1 1 -1 -2 -0 -0 -0 -0 -1 -1 2 4 6 6 5 4 2 3 5 4 2 3 4 5 8 10 7 4 2 3 6 5 4 3 4 4 6 7 7 8 8 7 7 6 5 4 4 5 6 6 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 6 5 4 4 5 6 7 9 11 9 8 8 9 12 13 11 9 6 6 7 7 7 8 13 18 19 16 11 5 4 10 13 13 11 9 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 4 5 6 7 6 6 5 4 3 3 3 4 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 6 6 7 9 12 15 17 18 19 19 17 15 12 9 6 5 5 5 5 5 7 7 8 8 7 6 5 4 5 6 7 9 10 10 10 8 7 6 5 5 7 7 9 13 5 2 4 8 5 7 4 7 9 8 11 8 8 3 2 6 3 5 8 10 12 11 6 5 7 4 5 6 2 2 8 7 1 3 6 6 4 6 7 5 2 1 4 8 7 3 5 11 12 10 7 4 4 6 6 7 11 10 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 4 3 4 4 3 3 3 4 3 3 2 2 2 2 3 4 4 4 3 2 2 3 3 3 5 6 7 7 7 8 8 7 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 10 11 10 10 8 5 -0 -7 -9 -6 -5 -2 -0 3 7 7 8 6 4 3 2 2 1 0 -0 -2 -3 -4 -5 -5 -3 -1 2 3 4 7 10 12 12 10 9 8 7 5 4 3 3 6 8 8 7 7 8 9 10 10 12 8 2 4 5 4 3 3 4 5 6 7 7 8 8 7 6 6 5 4 5 5 6 5 4 4 5 4 5 5 5 5 4 4 4 3 1 3 5 6 5 4 4 5 5 6 7 7 8 8 9 9 9 9 9 7 5 6 8 7 6 6 8 9 9 7 4 0 3 14 25 25 14 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 4 5 5 5 3 3 3 3 3 3 4 4 3 3 3 2 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 6 5 6 6 6 6 6 6 7 7 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 6 6 7 10 15 18 19 19 18 15 13 10 8 6 4 3 4 5 5 5 6 7 8 7 7 6 5 5 5 6 7 9 10 10 9 8 8 7 6 7 10 9 9 6 2 5 3 6 3 7 4 3 2 3 7 8 10 7 4 5 5 5 7 7 10 13 14 12 8 5 5 4 1 3 8 8 5 4 3 3 3 6 9 10 4 1 3 7 6 3 6 11 12 9 5 2 3 6 6 7 11 10 5 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 3 3 4 4 3 3 2 2 2 3 4 5 4 3 3 3 3 4 4 5 6 7 7 7 7 7 6 6 5 5 5 6 6 6 7 6 5 6 6 6 7 7 8 7 7 7 7 7 7 7 7 3 -1 -5 -7 -7 -6 -6 -5 -2 2 4 5 4 4 4 3 2 -0 -2 -3 -5 -4 -3 -1 -2 0 4 6 6 6 7 9 11 11 9 6 6 6 5 4 6 8 9 10 12 12 13 11 6 6 8 6 2 2 3 4 4 3 3 3 4 5 6 7 8 8 8 7 6 5 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 5 5 2 -1 2 5 5 4 5 5 5 6 5 5 6 8 9 9 8 8 8 5 5 6 7 6 6 5 4 4 4 3 1 -0 3 13 25 29 18 7 8 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 4 4 4 4 5 6 6 5 5 4 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 5 4 4 5 4 4 4 4 4 5 5 5 6 6 5 5 4 5 5 6 6 6 6 5 5 5 6 7 7 8 7 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 6 6 5 5 5 5 5 4 4 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 6 7 8 11 17 21 22 19 15 12 9 7 6 5 3 3 4 5 6 6 6 6 7 7 7 6 5 5 5 6 7 9 10 10 9 8 8 8 6 7 10 11 10 3 1 4 4 8 11 11 8 2 2 5 3 7 9 10 7 5 3 2 4 5 8 11 15 16 10 7 7 4 2 5 7 8 7 4 2 1 2 5 10 12 7 4 4 5 5 5 10 12 11 7 3 0 2 7 7 7 11 9 5 3 4 5 5 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 2 2 3 4 4 3 3 3 3 4 4 5 5 7 8 6 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 6 6 7 9 7 3 2 0 -1 -0 -1 -2 -4 -5 -2 1 3 4 5 5 4 1 -1 -1 -0 1 2 4 5 5 6 6 6 6 6 5 6 8 8 6 5 7 8 8 10 11 12 14 12 11 11 10 7 4 5 5 3 2 2 3 3 4 3 3 4 4 5 6 7 8 8 8 7 5 4 4 5 6 6 4 4 3 3 2 3 4 3 3 4 5 7 8 2 1 5 5 5 5 6 7 6 5 5 6 7 8 8 8 9 8 5 5 6 6 6 6 5 4 3 3 3 2 3 6 12 17 19 13 6 6 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 4 5 6 7 7 6 6 5 5 4 4 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 6 6 6 6 5 5 5 5 6 7 8 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 5 6 7 8 13 20 24 22 16 11 8 6 5 5 4 3 3 3 4 6 6 6 6 6 7 7 6 6 5 5 6 7 8 9 10 8 7 8 8 7 6 8 10 10 6 2 2 6 8 13 11 8 5 5 9 4 6 6 8 8 6 3 1 4 7 8 9 10 11 9 7 7 5 4 6 6 6 7 5 2 0 2 5 9 9 6 6 6 5 5 8 13 13 11 6 2 1 2 5 5 6 11 9 5 3 4 4 5 6 6 6 7 7 6 6 6 6 6 6 5 5 5 4 4 4 5 6 6 5 5 5 5 4 4 4 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 2 3 3 4 3 3 3 3 4 4 4 5 5 6 7 6 5 5 5 5 4 4 4 5 5 5 6 5 5 6 6 6 7 7 8 8 7 7 6 6 7 7 7 10 13 13 9 4 1 1 2 1 -3 -4 -5 -5 -1 2 4 5 5 5 6 5 4 4 5 6 5 5 5 6 6 5 4 4 5 6 8 8 7 9 12 13 10 8 10 10 8 5 5 7 7 5 5 5 5 4 3 3 3 3 3 3 2 3 4 5 7 8 9 8 7 6 4 3 4 6 6 5 4 4 3 3 2 1 3 3 3 4 5 9 8 4 4 5 5 6 7 7 7 5 5 6 6 7 8 9 9 9 7 6 5 6 6 6 6 5 4 5 6 7 7 9 13 14 8 3 2 4 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 3 4 5 6 7 8 7 7 6 6 7 6 4 4 4 3 3 2 2 2 1 2 2 2 3 3 3 3 3 4 3 3 3 3 4 4 5 5 4 5 5 5 5 6 6 5 5 5 5 5 6 6 7 7 7 6 5 4 4 4 4 4 4 5 5 6 5 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 5 6 6 6 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 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 7 7 10 17 24 24 18 11 7 5 5 5 6 5 4 4 3 4 5 6 7 7 7 7 7 6 6 6 5 6 6 7 8 8 7 7 8 8 8 8 8 6 7 5 3 3 4 4 8 7 4 3 4 8 6 4 3 3 7 5 3 4 6 10 9 7 6 5 7 8 7 4 5 8 8 6 6 6 3 1 2 6 9 8 4 5 6 7 7 10 11 11 9 4 3 2 2 5 5 6 10 9 5 3 3 4 5 5 6 7 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 4 5 4 4 5 5 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 8 8 10 13 17 13 8 6 4 2 0 -1 -1 -2 -4 -4 -3 -2 1 3 4 5 4 5 6 6 6 6 6 5 6 6 5 4 4 4 5 7 7 8 10 11 8 4 3 4 3 4 4 4 5 5 5 4 5 5 5 4 4 4 4 3 2 2 3 4 5 6 8 8 9 8 6 4 3 4 6 7 6 4 4 4 5 3 -1 0 3 3 3 4 5 6 5 4 5 5 6 8 8 7 6 6 5 6 7 9 10 11 11 9 7 6 5 6 7 7 7 6 7 9 9 8 8 9 8 5 2 1 2 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 4 4 4 4 5 6 7 7 6 6 7 7 8 8 7 6 6 5 4 4 3 2 2 1 2 2 2 2 3 3 4 4 4 3 3 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 4 5 4 5 5 5 5 4 3 3 3 3 4 4 5 5 5 5 5 5 6 5 5 6 6 6 7 7 7 7 6 6 6 7 7 6 6 6 5 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 4 4 5 5 5 4 4 4 4 5 5 4 5 5 5 5 6 7 8 15 25 27 19 10 5 4 5 6 6 6 6 6 5 4 4 4 5 6 7 8 8 7 7 6 6 6 6 6 6 6 6 5 7 8 9 9 11 9 5 4 4 7 7 5 3 4 7 5 2 3 7 7 5 1 0 5 2 2 5 9 11 8 6 3 2 6 9 8 5 6 10 10 8 8 8 5 2 3 7 9 7 4 6 7 8 9 10 10 10 7 4 4 4 2 5 7 6 9 9 5 3 3 4 5 6 6 6 6 6 7 6 6 5 6 5 5 5 5 4 4 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 2 2 3 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 5 4 5 5 5 4 4 5 5 6 6 7 8 8 7 7 7 6 7 8 9 11 12 15 16 14 11 8 4 2 1 1 0 -2 -2 -1 0 1 2 2 2 4 6 7 6 5 5 5 4 5 5 5 5 5 5 8 10 10 7 5 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 7 6 4 3 2 3 3 4 5 6 8 8 8 6 5 4 5 6 7 6 5 4 4 5 7 4 1 3 3 3 4 4 3 4 4 4 5 6 7 7 7 6 6 5 5 6 8 10 12 14 11 8 6 6 6 7 8 7 7 8 8 9 9 8 7 5 4 4 3 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 5 5 5 4 4 5 5 6 6 5 4 4 5 6 7 8 8 7 8 8 8 8 6 5 3 3 3 2 2 2 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 2 1 2 2 3 4 4 5 5 5 5 5 4 4 5 5 6 6 6 7 7 7 7 7 7 8 7 7 7 7 6 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 5 5 4 4 4 5 5 5 5 5 5 6 6 7 8 11 25 34 22 7 2 1 2 5 6 6 7 7 7 6 5 5 5 5 5 6 8 9 9 7 7 7 7 6 5 6 6 6 5 6 7 8 11 9 8 6 4 6 10 7 6 5 5 8 8 4 4 5 7 6 3 1 3 2 1 5 9 9 7 4 1 3 7 10 9 5 5 9 9 8 10 10 7 4 5 7 9 7 5 8 11 12 13 10 9 9 7 5 5 5 4 6 9 8 8 9 5 4 3 4 5 5 6 6 6 7 6 6 5 5 5 5 4 4 5 5 5 6 6 7 6 6 5 5 5 5 5 4 4 5 4 4 4 4 5 5 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 3 2 2 2 3 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 9 9 13 15 15 15 15 13 11 8 6 3 2 3 3 2 2 3 3 4 5 5 5 5 4 4 4 4 5 8 9 8 8 11 13 12 9 5 4 3 3 3 3 4 4 4 3 3 3 3 5 6 6 4 3 5 7 8 6 4 3 2 3 3 4 5 7 8 8 7 6 5 5 6 6 6 6 6 5 4 6 7 4 3 3 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 4 5 6 8 12 14 13 9 6 6 6 6 7 8 8 8 7 8 9 9 9 9 7 5 4 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 6 6 5 5 5 5 6 6 6 5 4 3 3 4 5 5 6 6 7 8 9 9 8 6 5 5 5 5 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 4 4 4 3 3 2 2 2 3 1 1 1 2 3 4 5 4 4 4 4 3 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 7 6 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 8 9 16 32 33 12 -3 -5 -4 -1 3 6 6 6 6 7 7 7 6 6 6 6 6 8 10 10 9 8 7 7 6 6 6 7 8 6 6 8 8 10 7 7 9 8 8 7 3 3 3 5 8 6 5 4 3 4 6 3 2 4 6 4 4 8 8 7 5 2 2 6 9 8 4 2 4 5 6 9 9 6 5 7 8 8 6 5 9 14 16 16 11 8 7 6 5 6 5 5 7 11 10 7 8 6 4 4 4 4 5 6 6 6 6 6 5 5 5 5 4 5 5 4 5 5 6 7 7 6 6 6 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 2 3 4 3 2 2 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 6 7 7 8 10 12 14 16 15 13 11 10 8 6 5 3 4 5 5 5 7 9 9 7 9 8 7 9 8 9 11 11 10 11 10 8 6 5 4 4 5 5 5 4 4 4 3 2 2 2 5 9 10 6 3 3 5 7 7 6 4 3 2 3 4 4 6 7 8 8 7 6 5 5 5 5 6 7 6 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 5 4 4 5 7 10 12 12 9 7 6 5 6 7 7 8 8 8 7 7 9 12 12 11 9 7 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 5 5 5 5 5 5 6 6 6 6 5 4 2 2 3 3 3 3 4 5 6 6 7 7 7 7 7 7 7 6 5 4 4 4 4 4 3 3 4 4 5 4 5 5 5 4 3 3 3 3 4 4 5 5 4 5 4 2 2 2 2 1 1 1 2 3 4 4 4 4 3 3 3 4 3 4 4 5 5 5 6 7 7 7 7 6 6 7 7 7 7 8 7 6 5 5 4 4 3 2 3 3 3 3 3 4 4 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 9 12 20 27 19 6 -2 -3 -6 -5 0 3 5 5 5 6 7 7 6 6 7 7 7 8 10 11 10 9 8 7 6 7 7 8 8 7 7 8 8 7 6 7 6 10 11 5 2 3 1 2 7 6 5 5 3 3 6 4 1 4 8 7 6 7 9 11 9 6 3 3 6 4 4 3 3 4 5 6 5 3 5 9 8 5 2 3 6 10 18 19 12 6 2 2 3 6 8 5 7 12 11 8 8 6 5 5 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 6 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 3 4 4 4 3 3 3 3 3 2 1 2 3 4 3 3 2 3 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 5 4 3 3 3 3 3 3 4 4 5 6 7 8 10 11 11 12 11 9 10 12 12 11 10 9 10 11 13 14 14 14 15 15 14 13 9 7 7 6 5 5 5 5 5 5 5 6 6 6 5 4 4 3 2 2 2 5 11 12 8 4 3 4 6 8 8 5 3 2 3 3 4 5 6 7 8 8 7 6 5 5 5 5 7 7 6 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 9 8 7 6 6 6 6 7 7 7 7 7 8 12 12 9 10 11 9 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 4 5 6 6 6 6 5 5 5 4 3 3 3 2 2 2 2 3 3 3 4 5 5 5 6 6 7 7 6 6 5 4 4 3 3 3 3 3 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 6 6 5 3 2 1 1 1 1 2 2 3 3 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 7 7 6 6 6 6 6 7 8 8 7 6 5 5 4 3 3 3 2 2 3 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 5 5 5 4 5 6 5 5 5 6 7 8 11 15 21 21 10 5 3 0 -5 -8 -3 1 3 4 5 5 6 6 6 6 6 7 7 9 10 11 11 10 9 7 7 7 7 7 8 7 7 8 6 7 12 7 2 9 11 6 6 7 3 2 6 6 6 6 4 5 8 6 3 5 8 8 8 8 10 13 14 10 5 3 3 2 3 5 6 6 5 5 2 1 6 9 9 5 2 3 4 7 18 17 11 5 -2 -3 1 7 12 8 7 11 10 8 8 6 5 5 4 4 4 5 6 6 5 6 6 5 5 5 4 4 5 5 5 5 6 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 5 4 4 4 4 3 2 2 3 4 4 3 3 3 4 5 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 3 3 3 3 2 2 2 3 3 4 5 5 5 6 7 8 9 9 10 13 16 16 15 14 13 12 10 11 13 11 12 12 10 10 7 4 3 4 4 4 5 5 5 5 5 6 6 6 5 5 4 4 3 2 2 5 9 10 8 5 4 4 5 7 8 5 3 3 3 4 4 3 4 6 7 8 8 7 6 5 4 5 7 8 8 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 7 8 8 8 7 7 6 6 7 7 7 8 7 8 10 9 7 8 9 8 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 3 4 5 6 5 5 5 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 5 5 6 6 6 5 4 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 3 2 2 3 3 4 6 8 8 6 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 7 7 7 7 6 6 6 7 8 8 8 7 6 6 6 5 4 3 2 3 3 3 3 3 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 6 7 8 10 15 20 23 17 4 5 6 -4 -10 -9 -4 1 3 4 4 5 5 5 5 4 4 6 8 9 11 12 12 11 10 8 6 6 6 6 6 8 6 5 7 10 15 6 7 6 6 6 9 9 5 4 3 5 7 6 4 6 8 8 8 7 6 7 9 8 9 11 12 8 6 8 6 2 1 5 8 8 8 5 0 2 6 6 9 8 6 8 9 12 17 15 9 4 -1 -3 0 8 15 10 9 14 11 8 7 6 5 5 4 4 4 5 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 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 3 4 4 5 5 4 4 4 4 5 5 4 4 4 4 3 3 3 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 6 6 8 9 8 8 9 11 11 11 9 7 6 6 6 5 5 5 5 5 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 2 2 3 6 7 7 5 4 3 4 5 6 6 5 3 3 3 3 3 3 4 5 6 7 8 7 5 4 5 6 8 8 8 7 6 6 5 5 5 4 5 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 7 7 8 7 6 6 7 7 7 8 9 9 8 8 7 7 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 1 2 3 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 3 3 2 2 3 4 8 10 8 5 3 2 2 3 2 2 3 3 3 3 4 4 3 3 3 3 3 4 5 5 5 6 6 6 6 6 7 6 6 7 7 7 8 8 7 6 6 6 6 6 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 8 9 14 21 25 23 12 4 7 3 -11 -13 -8 -2 2 3 4 5 6 5 5 4 3 3 5 7 10 12 13 14 13 10 7 5 5 5 5 5 4 4 4 6 6 7 5 10 6 3 6 7 6 8 9 6 6 5 4 5 6 6 8 10 9 8 8 9 6 5 7 8 5 3 9 8 2 1 5 6 8 12 8 4 6 5 4 7 9 9 14 18 16 16 17 12 5 -1 -4 3 12 15 9 9 16 13 8 7 6 4 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 3 4 5 5 5 4 5 4 4 4 4 4 4 5 5 6 5 4 5 5 5 5 5 5 6 7 6 6 5 4 4 4 5 5 5 6 6 6 7 6 5 4 4 5 5 5 4 4 5 4 5 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 3 2 2 4 6 6 4 4 3 3 4 5 6 5 4 4 4 3 2 2 3 3 5 6 6 7 6 5 5 6 7 7 8 8 7 6 6 6 5 5 5 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 6 5 5 6 6 7 7 7 8 8 7 6 6 6 6 7 8 9 9 10 10 9 9 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 3 4 5 5 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 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 3 3 2 2 3 7 10 10 7 4 3 2 2 2 2 3 3 4 4 4 4 3 4 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 7 7 7 8 8 7 6 7 7 7 7 6 5 5 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 7 7 6 7 9 14 22 28 26 19 9 5 4 -6 -15 -11 -4 1 3 4 5 6 6 6 5 4 3 3 4 7 11 13 15 16 15 10 6 4 4 5 5 4 -0 -0 5 7 0 -2 6 9 7 1 2 3 2 8 12 9 8 3 2 5 6 7 7 8 8 8 10 9 4 2 3 4 1 -2 2 3 -0 1 3 4 7 11 9 7 6 4 4 2 3 13 22 22 16 18 23 16 5 -2 -2 5 14 13 7 9 16 14 8 7 5 5 5 5 4 3 4 5 5 5 5 5 5 6 6 5 5 5 5 4 4 5 5 5 6 6 5 5 5 5 5 6 6 5 5 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 5 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 6 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 5 4 5 5 5 5 4 2 2 3 4 5 5 4 3 2 4 6 7 5 4 4 4 3 3 3 3 2 3 4 5 6 6 6 6 6 6 6 7 8 8 8 7 6 5 4 5 6 7 7 7 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 7 8 8 8 7 6 5 5 6 7 9 10 11 11 11 11 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 5 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 2 2 2 2 3 3 3 3 2 2 3 3 3 4 4 4 4 4 3 4 4 4 5 5 5 5 6 8 9 7 6 4 3 3 4 6 9 10 7 4 2 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 7 8 8 7 7 7 7 8 7 6 6 5 5 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 7 8 8 13 24 32 28 18 12 5 5 -4 -18 -16 -7 -1 3 4 5 6 7 6 6 5 4 3 4 4 7 12 16 19 18 14 9 5 4 5 5 6 6 5 4 5 5 2 -0 5 8 6 2 -2 -1 -0 6 13 12 7 1 3 4 6 8 7 5 5 7 10 10 5 1 -1 -3 -3 -3 -5 -4 -2 0 1 4 10 11 8 4 2 1 4 -0 -0 10 16 17 19 28 30 18 6 -1 -1 7 14 10 6 10 17 14 8 7 5 5 5 5 4 3 3 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 5 5 6 6 5 5 5 5 6 6 5 5 5 5 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 3 3 4 4 4 3 3 4 4 4 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 5 5 5 4 2 0 0 4 6 4 2 1 3 6 9 8 5 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 8 8 8 6 6 5 5 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 7 8 8 8 7 6 5 5 6 7 9 10 10 10 11 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 13 11 9 7 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 1 2 2 2 3 4 5 4 3 1 2 2 3 4 4 4 4 3 4 4 4 4 4 4 4 5 5 7 8 9 8 7 5 5 5 6 7 8 6 3 2 2 2 2 2 3 4 4 4 4 5 4 4 3 3 3 2 3 4 4 4 5 5 5 5 6 6 6 6 6 7 8 7 7 6 6 6 7 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 8 9 13 23 35 33 19 6 5 6 5 -12 -22 -12 -3 1 3 5 6 7 7 7 6 5 4 4 4 5 8 13 20 22 17 10 6 5 5 4 5 5 5 8 11 12 12 10 4 2 4 6 5 0 0 2 5 13 13 5 3 5 3 5 8 8 4 3 5 9 11 8 2 -4 -6 -4 -1 -4 -5 1 6 4 4 12 10 5 3 -1 -0 4 -1 -2 3 10 16 28 39 32 16 5 -0 2 9 12 9 6 9 16 14 8 7 6 5 5 5 4 3 4 4 5 5 5 5 5 5 5 6 6 6 5 4 3 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 3 2 3 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 5 4 5 6 6 6 6 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 5 6 5 5 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 6 6 4 -0 -3 1 6 4 2 1 2 6 9 9 6 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 7 8 8 7 6 5 5 5 6 7 6 6 6 7 7 7 6 5 5 6 5 5 5 6 7 6 6 6 6 6 7 8 8 9 8 7 5 5 5 6 7 8 8 9 9 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 13 12 10 8 7 7 6 5 6 5 5 4 4 3 3 2 3 3 3 3 2 2 2 2 2 4 6 7 6 5 2 2 2 2 3 4 4 4 3 3 3 3 3 3 4 3 3 4 5 5 7 7 7 7 7 7 7 6 6 4 3 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 4 4 4 5 5 5 6 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 5 5 4 4 5 5 4 5 5 6 7 7 6 6 7 9 13 20 30 35 25 9 -2 1 7 -6 -18 -14 -4 1 3 5 6 7 7 7 7 6 5 5 5 5 7 9 17 23 21 11 4 3 4 5 5 5 6 5 3 2 5 11 11 5 1 3 7 8 7 8 7 7 10 11 3 2 4 4 5 7 8 5 2 2 7 13 12 4 -3 -3 2 5 -1 -2 8 14 7 4 8 4 2 2 -1 -1 5 -3 -5 2 10 18 35 43 29 13 3 1 4 11 12 8 5 8 14 14 8 7 6 5 5 6 5 3 3 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 5 5 5 4 4 5 5 5 6 6 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 5 4 4 3 3 3 4 4 4 4 4 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 6 6 6 6 5 5 5 5 5 4 5 5 6 5 6 6 5 4 4 4 5 7 7 6 2 -1 1 5 5 3 1 2 4 7 7 6 5 4 4 4 4 3 2 4 5 5 5 5 4 2 2 4 5 5 5 6 7 7 7 6 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 5 5 5 6 6 7 7 6 6 6 7 8 8 9 10 9 7 5 5 5 5 6 7 7 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 13 13 12 11 11 11 10 10 11 11 9 7 6 4 4 4 4 5 5 5 4 4 3 4 5 7 8 8 6 5 4 4 4 3 3 3 3 3 3 2 1 1 2 3 3 3 3 3 3 4 5 5 5 7 8 7 6 4 3 2 2 3 4 3 4 4 4 5 5 4 4 4 4 3 3 3 2 2 3 3 4 4 4 4 5 5 5 5 5 6 6 7 7 6 6 5 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 5 5 7 7 7 6 6 9 14 18 23 25 24 14 3 -3 -2 -6 -21 -16 -4 2 3 5 6 6 7 7 8 7 6 6 6 6 7 8 13 20 22 13 3 0 2 4 3 5 7 5 7 7 3 -0 1 5 4 4 6 8 11 15 15 11 9 8 7 2 1 3 3 3 5 7 7 2 -1 5 14 15 8 1 4 10 11 4 2 9 10 5 4 5 5 5 4 -3 -5 6 3 -3 1 5 17 35 37 23 10 3 1 5 11 11 6 5 8 14 13 8 7 7 6 5 6 5 4 4 4 4 4 5 5 6 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 5 5 4 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 7 6 6 5 4 4 5 7 8 7 3 1 3 6 6 4 2 2 3 4 6 6 6 5 5 6 5 5 -0 0 4 4 5 5 7 5 2 4 5 5 5 6 6 7 7 6 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 5 5 5 5 6 7 7 7 7 7 7 7 8 9 10 10 9 7 5 4 4 4 4 4 4 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 12 12 12 12 13 13 13 15 16 16 13 10 8 7 7 7 8 8 9 8 7 6 6 6 7 7 8 7 7 8 7 5 4 3 3 3 3 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 5 6 7 6 3 2 2 3 3 3 4 4 4 5 6 6 5 5 4 4 3 3 3 2 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 4 5 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 8 9 8 7 10 14 18 17 15 14 11 4 -1 -0 -4 -13 -15 -7 2 4 5 6 7 7 6 7 7 7 7 8 8 7 8 11 16 21 17 8 3 1 -0 5 2 4 7 3 5 8 5 6 4 2 2 6 7 6 11 18 17 11 10 9 6 2 1 4 5 3 2 6 8 4 0 4 12 15 12 7 6 9 9 5 6 10 7 5 5 6 12 15 11 -2 -6 5 9 2 5 9 23 32 26 16 8 3 1 5 9 9 6 5 9 13 11 7 7 7 6 6 6 5 4 4 4 4 4 5 5 6 6 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 4 4 3 3 3 3 3 4 5 5 4 5 5 5 5 5 5 3 3 3 3 4 4 5 5 4 4 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 6 6 6 5 4 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 7 7 7 6 6 5 4 5 5 6 6 6 5 5 3 3 3 4 5 8 7 2 3 6 6 5 3 2 2 4 5 6 6 5 5 7 8 9 4 -0 3 4 4 4 6 8 5 4 5 5 4 5 6 6 6 6 5 5 5 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 7 7 7 7 8 9 10 10 9 7 5 4 3 3 3 4 5 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 5 7 8 8 8 8 9 10 13 16 17 15 12 11 10 10 10 11 12 11 9 7 7 6 6 6 6 8 9 10 10 9 6 5 5 4 4 4 3 1 0 1 2 2 3 3 3 3 3 3 3 3 3 3 4 5 5 3 2 2 2 3 3 3 4 4 5 6 7 7 6 6 5 4 3 3 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 4 3 4 4 4 4 5 6 7 11 13 10 11 14 15 15 12 9 7 5 3 5 6 0 -3 -1 1 4 6 7 7 7 7 6 7 7 8 9 9 9 10 12 15 18 18 13 7 6 3 0 5 4 2 4 5 6 5 1 2 3 3 3 8 4 4 10 14 11 9 9 7 6 5 3 6 8 4 -0 2 8 7 4 5 10 15 12 6 1 3 5 6 8 10 9 7 5 7 13 17 15 4 -2 0 8 9 19 21 25 25 18 10 6 2 -1 3 8 8 5 6 9 14 11 7 7 7 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 5 5 5 4 4 4 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 5 5 6 5 4 2 2 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 5 6 6 7 7 7 7 7 6 4 4 4 5 5 5 5 4 3 2 2 1 0 3 8 7 5 6 7 6 5 3 2 3 5 7 7 6 6 6 7 8 8 4 3 4 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 7 6 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 9 10 10 9 8 6 4 3 3 3 4 6 8 7 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 3 4 3 3 2 3 5 7 9 11 11 10 9 11 11 12 13 12 10 7 5 5 5 6 6 8 9 10 10 10 8 6 5 5 5 5 4 3 2 1 2 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 5 5 6 7 7 6 5 4 3 3 3 3 3 3 4 4 4 4 4 5 6 5 5 5 5 5 5 6 6 5 6 5 6 6 6 6 7 7 7 7 6 5 5 5 5 4 4 4 4 4 3 3 4 5 7 8 12 14 12 13 11 9 9 9 10 10 13 19 18 11 5 4 5 6 7 9 8 8 7 6 6 6 7 8 10 10 11 13 17 18 17 14 9 6 6 6 5 6 5 2 6 9 8 9 9 7 5 3 4 6 1 3 8 8 5 6 6 4 5 6 5 6 8 5 -1 -0 8 8 6 5 8 11 6 -1 -1 4 6 6 9 13 12 6 5 8 6 4 9 9 4 -4 2 15 26 26 22 16 8 3 3 -0 -2 4 8 7 6 7 9 13 10 7 7 7 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 4 5 4 3 3 3 4 4 5 4 5 5 4 4 4 5 4 4 4 4 4 4 3 3 4 4 5 5 5 4 5 5 5 4 3 4 4 4 4 4 4 5 4 5 5 4 5 4 5 5 5 5 6 5 5 5 4 4 5 5 5 5 5 4 2 2 3 4 4 5 5 5 5 5 4 4 5 5 4 4 4 3 3 3 4 3 3 3 3 4 5 5 5 5 4 4 4 5 5 5 5 6 6 7 8 8 8 7 5 4 3 4 4 5 5 4 5 4 2 1 1 0 2 6 6 6 7 6 6 4 3 3 5 8 7 7 6 6 5 5 5 3 4 6 6 4 3 3 5 7 6 5 4 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 8 9 10 10 10 9 8 5 4 3 4 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 2 2 2 2 1 1 2 3 3 4 5 6 5 5 7 9 10 10 10 8 7 6 5 6 6 7 9 10 10 10 9 7 6 5 6 6 6 5 3 2 3 4 6 8 9 9 9 7 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 8 7 5 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 7 7 7 6 6 5 4 4 4 4 3 4 4 3 3 4 5 7 9 14 17 15 10 5 4 7 10 13 16 23 28 17 5 1 3 6 9 10 9 9 7 7 6 6 6 6 8 10 12 14 18 20 17 13 9 7 5 5 7 8 8 7 6 7 8 5 8 14 16 10 7 7 2 -2 7 11 6 3 3 1 4 8 7 4 3 8 6 0 1 7 9 8 6 8 6 -3 -4 6 12 8 -1 7 22 18 7 10 10 -0 -3 4 10 8 -6 -7 12 26 26 17 6 -3 -3 1 -1 2 9 10 8 7 7 9 12 10 6 7 8 6 6 7 6 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 4 4 4 4 4 5 4 4 5 4 3 3 4 4 5 4 4 5 5 4 5 5 4 4 5 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 6 6 5 5 4 4 4 5 5 5 5 4 3 2 2 2 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 5 5 5 5 5 6 6 8 9 10 8 6 4 3 3 4 5 5 6 7 8 5 4 4 3 1 4 7 7 7 7 6 5 3 3 5 8 8 7 7 6 5 3 2 3 5 7 7 5 4 3 5 8 8 6 5 4 4 4 4 5 4 4 5 5 6 6 6 6 7 6 6 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 8 9 9 10 10 9 9 8 7 5 6 7 7 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 3 2 3 3 2 2 2 2 3 3 4 6 6 7 7 8 8 8 7 7 7 7 9 10 10 10 10 8 6 5 6 6 5 4 3 3 3 5 7 9 11 13 13 12 8 6 6 6 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 5 6 6 7 7 5 4 3 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 5 6 6 6 6 6 5 4 3 4 4 3 4 4 3 3 4 7 11 14 18 18 12 5 3 5 8 10 13 18 19 13 -1 -5 -1 5 8 9 9 9 8 7 7 6 6 5 6 9 11 12 17 22 18 13 10 8 7 4 3 2 4 7 8 9 9 6 6 6 12 14 6 10 13 -2 0 14 15 5 3 1 -1 8 16 10 2 2 7 8 5 4 7 9 7 6 7 -0 -8 -2 13 14 3 -2 13 27 19 12 16 11 2 2 5 8 8 1 -4 12 29 24 11 -1 -7 -2 3 2 7 12 11 8 7 7 8 13 12 7 7 7 6 6 6 6 5 4 3 4 5 4 4 4 4 4 4 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 5 4 4 4 4 3 4 5 6 6 6 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 6 5 5 4 4 4 4 5 5 5 4 4 3 3 2 3 3 4 4 5 5 5 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 8 9 10 8 6 4 4 4 4 5 5 6 9 12 10 6 6 7 6 5 6 6 6 6 6 6 4 4 5 7 7 7 7 6 4 3 2 4 7 9 9 6 3 3 6 8 9 7 5 4 3 3 3 4 4 4 5 5 5 6 6 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 11 11 11 9 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 3 3 3 3 3 3 2 2 1 2 2 2 2 3 4 5 7 7 7 7 7 6 6 7 8 9 10 11 10 8 7 6 5 4 4 4 4 4 5 6 8 10 12 14 14 12 9 8 6 4 3 4 5 6 6 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 5 5 6 5 5 5 4 3 3 3 3 2 3 3 4 5 5 6 5 5 5 4 4 3 4 4 4 4 4 4 5 10 17 19 18 13 6 2 3 5 7 9 10 12 4 -9 -12 -5 3 7 8 8 8 7 7 7 6 6 6 5 7 10 11 13 19 21 15 9 9 8 6 5 3 1 1 1 3 9 11 8 6 1 0 6 10 15 13 -3 4 17 12 4 3 1 1 12 17 9 3 4 6 8 7 6 7 8 4 2 4 -3 -7 4 15 9 1 8 20 21 15 15 15 10 8 8 5 5 7 15 13 25 35 21 5 -6 -6 4 7 8 11 12 10 8 7 6 9 13 13 7 7 7 6 6 6 6 5 4 3 4 4 4 4 3 3 4 5 5 6 7 6 6 5 5 4 4 4 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 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 4 5 5 4 5 5 5 6 8 9 9 8 5 4 4 4 4 5 6 7 9 12 13 8 6 10 8 5 5 5 6 7 7 6 4 4 5 6 7 7 7 5 4 3 3 5 10 13 11 6 3 3 5 8 9 7 5 4 3 3 3 3 4 5 6 6 6 6 6 7 7 7 7 6 6 5 5 5 4 4 4 4 5 5 5 6 6 7 6 6 6 7 7 7 8 8 8 8 9 10 11 12 12 11 9 7 7 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 3 3 4 4 4 3 2 2 2 2 2 1 1 1 2 3 4 5 5 5 5 5 5 4 5 7 9 11 11 11 9 7 6 5 5 6 7 6 5 5 6 7 8 9 11 11 10 9 6 3 2 3 5 7 6 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 5 5 4 4 3 2 2 2 2 2 3 4 5 5 5 6 5 5 4 4 3 4 4 4 4 4 5 11 18 19 12 6 4 3 4 6 7 8 8 4 -6 -15 -7 2 6 7 6 6 5 5 6 6 5 5 5 6 8 10 11 13 18 19 14 9 8 6 5 4 4 4 4 2 2 5 8 8 5 -3 -7 -3 4 14 10 2 9 12 7 5 8 5 3 7 8 6 6 7 7 7 6 6 8 8 5 1 1 -2 -2 9 15 11 8 7 6 6 9 11 8 7 12 13 5 -3 5 24 26 34 35 18 1 -12 -6 12 16 14 14 12 9 8 7 7 8 12 13 8 6 7 7 6 6 5 5 4 4 4 4 4 4 4 3 4 5 6 6 7 7 6 5 5 5 5 5 4 4 4 5 4 4 4 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 4 3 3 4 5 5 6 6 5 5 5 5 5 5 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 5 4 3 3 3 3 2 3 4 4 4 4 4 3 4 4 4 4 5 5 5 4 4 5 5 5 6 5 5 4 4 4 4 3 3 3 3 4 4 3 5 5 5 7 8 9 8 7 4 3 3 4 5 5 6 7 8 11 14 9 6 7 6 4 4 5 6 7 7 6 5 4 5 6 6 6 6 5 4 3 4 6 11 14 12 8 5 4 5 6 6 6 6 5 4 3 3 3 3 4 6 6 6 6 7 6 7 7 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 6 7 7 7 7 7 7 8 8 8 9 8 8 9 10 11 10 9 8 6 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 3 3 4 4 4 3 2 3 2 2 2 1 1 1 2 2 2 2 3 3 3 4 3 3 3 4 6 7 9 10 10 8 7 7 8 10 10 9 8 7 6 6 6 6 8 9 10 9 7 4 3 3 5 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 3 3 2 2 3 4 5 5 6 6 5 5 4 3 3 3 3 3 2 2 3 4 4 6 6 6 6 5 4 3 4 4 4 4 5 6 8 16 17 9 6 5 4 5 6 9 9 7 0 -5 -5 2 6 7 6 4 4 3 4 5 6 6 5 5 6 7 9 13 17 20 18 12 11 6 3 2 1 2 6 10 11 9 6 8 7 3 1 3 1 4 9 5 5 12 11 6 10 17 10 4 2 2 6 11 9 6 5 5 7 9 7 5 4 2 2 6 11 12 9 3 -4 -7 -4 2 2 -2 4 12 10 3 -4 4 15 22 35 30 14 -1 -12 -1 21 26 19 14 10 8 7 8 8 7 10 13 9 6 7 7 7 6 5 5 4 3 4 4 4 4 4 4 5 5 6 7 7 7 6 6 6 5 6 6 5 4 4 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 4 5 4 3 0 -1 -1 -0 1 4 5 7 8 8 7 5 4 3 3 4 5 5 5 6 7 10 13 12 8 4 4 4 3 4 6 7 7 6 5 5 6 6 7 6 5 5 4 4 4 7 10 12 13 12 9 6 5 5 5 5 5 5 5 4 5 4 4 4 5 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 5 5 6 7 7 8 8 8 7 8 8 9 9 9 9 8 8 7 7 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 2 2 3 2 2 2 2 3 4 5 6 7 7 6 7 8 9 10 10 10 9 9 8 8 8 9 10 11 10 8 7 7 7 7 6 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 5 4 4 3 3 2 3 3 4 5 5 5 5 5 4 4 3 3 4 3 3 3 3 3 4 5 5 6 6 5 5 4 4 4 4 5 6 7 6 11 15 12 8 6 5 6 8 11 9 5 2 2 5 7 7 6 4 4 3 3 3 5 5 5 6 7 7 8 13 19 23 21 15 10 11 9 6 6 7 4 5 8 13 12 10 9 5 4 9 13 11 8 3 -2 -2 2 8 6 14 20 9 3 2 5 11 12 7 5 4 5 8 9 5 3 6 5 7 9 7 6 -0 -9 -9 -2 6 6 -4 -9 0 8 3 -3 -1 4 -0 11 34 30 14 0 -5 7 25 29 20 12 7 6 7 8 7 7 12 15 10 6 6 7 7 6 5 5 4 3 3 4 4 4 5 5 5 6 6 7 7 7 6 6 5 5 6 6 5 5 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 4 4 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 5 5 5 5 4 5 5 5 5 5 4 5 5 5 6 6 5 1 -2 -3 -3 -3 -1 3 7 8 8 6 4 3 3 4 4 4 5 5 6 7 9 13 14 8 5 5 4 4 4 5 6 7 7 6 6 7 7 7 6 5 4 4 4 5 6 8 9 12 13 12 9 6 5 5 4 5 6 5 5 5 5 5 5 5 6 5 5 5 6 7 7 7 7 6 6 5 5 5 6 5 5 5 4 4 4 5 5 6 7 8 8 8 8 7 8 8 9 10 10 9 7 5 4 5 6 6 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 8 6 5 5 5 5 5 5 5 5 4 5 5 4 4 6 6 6 6 6 6 5 5 4 3 2 1 1 1 1 2 3 3 3 3 3 3 3 3 2 1 3 4 6 7 7 6 6 6 9 10 11 11 10 11 13 15 17 14 10 5 4 4 6 7 7 6 5 4 4 4 4 5 5 5 6 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 5 5 6 6 6 6 6 5 5 6 6 6 4 5 18 20 10 7 9 11 11 7 3 2 5 6 6 5 4 3 2 2 3 3 3 4 6 10 14 11 13 18 17 16 15 13 11 10 8 5 2 1 5 10 7 4 5 9 8 2 2 5 2 -3 -2 3 15 20 11 6 3 3 6 3 2 6 10 10 9 7 7 5 3 3 3 4 4 6 3 -1 1 2 -0 -3 -4 3 11 12 13 10 7 4 -1 -8 -10 -2 3 -2 -4 14 37 39 17 1 3 15 22 20 14 7 5 6 6 5 5 8 10 6 4 7 9 8 6 6 6 6 5 4 3 4 4 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 5 5 4 3 4 4 4 4 4 4 3 3 3 3 3 3 2 2 1 0 -1 -1 0 1 2 3 4 5 5 4 4 5 5 5 5 5 5 5 5 6 6 8 7 6 5 5 5 3 3 5 8 8 7 5 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 6 7 6 6 6 6 7 7 7 7 7 6 5 4 4 5 6 6 5 5 6 7 8 9 8 7 7 7 7 6 5 5 5 6 6 7 7 6 5 5 5 5 5 5 5 6 5 6 5 5 4 5 5 6 6 6 6 5 5 5 5 4 5 6 6 7 8 8 8 7 7 8 10 11 11 8 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 9 8 6 5 4 5 6 5 5 5 4 4 4 4 5 5 6 6 7 7 8 8 8 8 7 6 5 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 3 2 1 1 1 2 2 1 2 2 3 4 5 8 10 10 9 7 5 6 8 9 8 5 4 4 4 3 3 4 4 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 5 4 5 5 5 5 6 7 7 5 5 4 3 4 4 5 5 6 7 7 5 5 6 7 6 3 1 8 20 19 12 10 12 14 15 11 7 3 3 4 3 4 3 3 3 3 3 4 5 11 19 21 10 10 13 10 10 12 17 18 13 7 2 -0 0 5 7 6 8 7 4 8 7 2 4 1 3 13 9 1 1 2 5 10 9 5 3 4 6 8 5 -1 1 5 6 8 6 4 4 4 4 4 5 5 5 7 7 7 11 14 16 18 15 6 8 10 2 -2 3 5 3 4 14 27 32 24 12 4 7 15 16 13 8 6 6 6 4 3 4 6 7 7 7 9 14 12 6 5 6 6 6 5 4 4 4 5 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 4 3 3 3 3 4 4 4 3 3 3 4 4 3 2 1 -0 -1 -1 -0 1 2 3 4 5 5 5 5 4 5 5 5 4 4 3 3 4 4 4 5 6 6 6 6 5 4 1 0 5 7 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 5 6 6 7 8 7 6 6 6 6 7 8 8 7 7 6 6 6 7 8 8 7 6 6 6 6 6 6 5 6 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 8 9 8 8 8 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 6 5 5 5 5 4 4 3 3 4 5 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 7 5 4 4 5 5 4 5 6 8 10 13 12 11 8 6 4 5 5 6 5 4 4 3 3 3 2 3 4 5 6 7 6 6 8 8 6 4 4 4 4 3 4 4 5 6 7 7 6 4 4 4 4 5 5 6 6 5 4 4 4 5 4 4 5 5 5 5 5 4 4 5 6 6 6 5 3 3 3 4 5 6 6 7 7 6 7 8 8 6 3 1 4 19 30 22 11 7 9 10 0 -6 -11 -7 0 1 1 2 4 4 4 5 5 5 10 19 21 12 6 4 3 7 17 23 23 14 7 8 9 5 4 7 10 4 -1 5 9 2 -3 -2 -2 3 14 16 5 11 13 5 2 1 3 6 7 7 8 5 2 4 6 5 4 3 4 4 4 5 7 8 9 9 9 8 3 4 8 2 -1 16 30 20 10 10 7 6 8 10 14 15 12 10 11 10 5 7 13 15 14 12 8 7 8 5 1 2 6 7 4 5 7 11 16 15 7 3 5 6 7 7 6 5 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 5 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 5 5 5 5 6 6 6 6 7 7 6 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 1 1 0 1 2 3 4 5 5 5 4 4 4 4 3 4 5 4 2 1 2 4 5 6 6 6 6 6 6 6 5 7 6 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 7 6 3 2 5 6 6 5 5 4 5 6 6 5 4 4 4 5 6 6 6 6 7 6 6 5 6 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 5 4 4 3 4 6 8 10 9 7 6 6 6 6 6 5 5 6 6 6 7 7 7 6 6 5 4 5 6 5 5 6 8 12 15 16 13 11 9 8 8 8 8 8 7 6 6 6 7 6 5 4 4 4 4 4 5 6 8 9 7 6 4 3 2 3 4 5 6 5 6 7 6 5 4 4 4 4 5 6 6 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 6 5 4 4 4 4 4 5 6 7 7 7 7 7 8 7 5 3 4 15 33 33 18 8 4 4 0 -11 -14 -10 -4 -0 0 1 2 3 4 5 5 5 6 9 17 17 11 6 4 7 9 13 18 18 10 4 9 12 9 5 5 11 7 2 6 8 5 0 1 5 11 16 10 6 12 9 5 1 0 2 6 8 7 8 6 4 7 9 5 5 6 5 5 5 6 9 11 8 6 7 5 -0 3 12 5 -4 9 23 18 7 2 4 7 7 8 10 8 1 2 13 13 5 8 15 15 14 11 7 6 7 4 3 4 7 6 4 4 6 12 18 16 7 2 4 5 7 8 7 6 5 4 5 6 6 6 5 5 6 6 6 6 5 5 5 5 6 5 4 4 4 4 4 5 5 6 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 4 4 5 5 5 5 5 5 6 6 6 7 6 6 5 5 6 6 5 4 4 4 4 4 5 4 4 4 4 4 4 4 3 2 2 3 3 2 2 1 2 3 4 5 5 5 4 4 4 4 4 4 6 6 5 5 5 6 6 6 6 6 6 6 7 7 4 2 5 5 5 4 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 7 8 8 6 6 7 7 7 6 6 6 7 6 6 5 5 4 4 5 6 6 6 7 8 7 5 6 7 8 8 8 8 8 8 8 7 6 6 6 7 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 8 6 5 5 5 5 4 4 5 7 12 15 14 9 6 7 6 6 5 4 4 4 5 6 6 5 5 4 4 5 5 6 6 6 6 7 10 12 14 12 10 8 8 8 9 9 9 9 8 8 8 11 11 9 7 5 4 4 4 4 4 5 7 8 8 6 4 3 2 3 5 7 6 6 6 7 8 7 6 4 4 5 5 6 6 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 7 8 8 7 7 8 7 7 7 12 28 38 27 13 6 1 -3 -10 -20 -17 -7 -1 -1 0 1 2 3 4 5 6 6 6 7 11 15 14 9 9 13 12 8 9 11 10 4 6 12 13 7 9 10 9 11 10 2 2 2 5 12 13 6 1 8 10 3 3 2 3 5 7 8 8 7 6 5 7 8 6 6 7 5 6 7 9 15 17 5 -1 2 3 2 8 19 17 4 4 10 12 5 1 4 7 4 2 7 5 0 8 22 17 6 9 16 15 13 11 8 6 6 5 4 6 6 4 4 5 9 16 19 13 4 3 3 5 7 8 7 6 5 4 5 5 6 6 5 5 5 5 6 6 6 5 5 6 6 5 5 4 4 5 5 5 6 6 5 5 6 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 3 2 2 2 4 4 4 4 3 3 3 4 6 6 5 5 4 4 3 4 5 7 8 7 7 7 6 6 6 6 6 5 6 7 9 8 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 5 2 5 7 7 8 7 7 7 7 7 7 6 5 4 4 5 5 5 6 8 10 7 5 6 7 7 8 8 8 9 9 8 8 7 6 6 6 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 7 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 22 14 10 8 7 7 6 5 4 4 7 14 19 17 10 6 7 7 6 4 3 3 4 5 6 5 4 2 2 3 5 7 7 7 7 7 7 8 9 8 7 6 5 5 6 6 7 7 7 7 8 11 15 14 10 7 6 5 5 5 5 4 4 5 6 7 6 5 3 3 3 5 7 7 6 6 7 9 9 7 5 4 5 5 5 6 6 6 5 5 4 5 4 4 4 4 4 4 5 5 6 5 5 5 5 4 4 5 5 5 6 8 8 8 7 8 9 11 13 14 17 23 26 20 14 6 0 -3 -14 -21 -15 -6 -1 0 0 1 2 4 5 6 7 7 6 6 7 13 17 14 13 17 13 6 4 9 12 8 4 11 14 8 10 4 7 9 9 5 1 0 7 14 8 -2 3 11 5 3 4 3 5 7 8 8 6 5 6 6 7 7 6 7 6 4 5 9 13 13 13 2 -5 -2 2 6 13 17 15 12 10 4 5 9 8 8 7 4 5 10 7 7 19 28 18 6 9 16 15 12 10 9 8 6 5 5 7 6 5 4 6 12 19 18 9 2 2 4 5 7 8 8 6 5 4 5 5 6 5 5 5 5 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 4 5 5 5 4 3 4 5 6 6 5 5 4 4 3 4 5 6 7 6 6 7 7 7 7 7 6 6 6 8 8 8 6 6 5 4 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 5 -1 3 7 7 7 7 7 7 7 8 8 7 6 5 4 4 5 4 6 10 11 8 6 6 7 7 7 8 9 9 9 9 8 6 6 7 7 6 7 7 7 7 7 7 6 6 6 6 6 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 25 16 10 10 10 9 7 6 4 3 6 12 17 15 9 6 7 7 7 6 5 5 5 5 5 5 4 3 1 2 5 7 8 8 7 7 6 6 5 5 4 4 3 3 3 4 4 5 5 5 7 12 14 13 8 5 5 5 6 6 6 5 4 4 5 5 5 5 4 3 4 6 7 7 5 5 7 8 10 9 7 5 4 5 6 6 6 6 6 5 5 5 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 7 8 9 8 7 9 13 15 14 14 14 13 11 13 15 12 7 -1 -15 -18 -11 -4 -0 1 1 2 4 6 7 8 8 7 6 6 8 16 20 16 13 15 13 9 7 8 10 8 5 9 11 10 5 5 8 4 11 13 3 1 8 10 3 5 19 15 3 8 7 6 6 7 7 5 4 6 8 8 8 6 6 4 5 4 2 6 11 12 9 1 -2 0 4 9 12 11 6 3 7 7 6 11 12 10 7 3 14 15 9 14 24 26 16 7 9 15 15 11 10 10 9 6 5 6 6 6 5 5 7 13 20 16 5 2 3 4 6 7 8 8 6 5 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 6 5 5 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 4 5 5 5 5 6 6 6 7 6 6 6 5 5 6 5 5 5 4 5 5 5 5 4 4 3 4 3 3 3 3 3 4 5 5 5 4 5 5 6 6 5 4 4 4 3 3 2 3 4 5 6 6 7 7 7 8 7 7 8 8 8 5 3 4 6 5 5 5 5 5 5 4 2 1 2 2 2 3 5 6 6 5 6 7 10 6 3 7 7 7 6 7 7 7 8 8 8 7 6 5 5 4 4 7 11 11 8 6 6 6 7 7 7 8 9 10 9 8 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 9 8 8 8 8 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 6 7 8 9 9 8 7 6 6 6 7 8 8 7 7 8 9 11 13 12 11 9 7 7 8 8 8 7 5 5 6 6 5 3 3 4 6 6 5 4 3 3 3 4 5 6 5 5 6 7 8 10 8 5 2 2 4 6 8 9 8 7 6 5 4 4 4 4 5 6 8 8 7 5 4 5 8 10 12 11 8 6 5 6 6 7 7 7 6 5 5 4 4 4 3 3 4 4 4 4 5 5 5 6 6 6 6 7 9 12 15 13 10 12 18 17 4 -4 6 23 26 15 6 6 6 -3 -17 -22 -11 -1 1 1 2 4 6 7 8 8 8 9 12 14 15 18 18 16 17 15 14 15 15 11 6 5 6 5 5 6 2 -2 -1 -1 4 1 -7 -5 14 21 12 2 1 1 5 10 8 7 5 7 7 4 1 3 11 15 12 8 8 7 6 7 5 5 7 1 1 -0 7 10 11 14 11 8 4 -0 2 10 9 7 16 21 13 2 5 9 7 10 16 18 16 11 9 10 11 12 10 9 8 8 8 7 6 6 5 4 4 8 16 19 9 3 4 5 5 6 7 8 8 6 4 4 4 4 4 4 5 5 6 7 6 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 6 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 7 8 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 8 8 6 5 4 4 4 3 3 3 3 4 5 5 5 6 6 6 5 5 5 7 7 8 7 6 6 5 4 4 4 4 5 5 7 9 8 7 6 5 5 4 4 5 7 8 9 8 8 7 8 7 7 7 6 6 7 7 8 9 9 8 7 5 4 5 8 10 9 7 5 5 6 6 6 6 6 7 8 8 9 9 9 9 9 10 9 9 9 9 8 8 7 7 7 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 4 5 11 18 22 22 16 11 7 7 9 12 13 15 14 10 2 9 18 13 6 6 15 21 23 16 11 4 8 16 23 25 22 17 13 10 12 11 9 9 8 11 12 12 9 7 6 8 9 10 15 19 21 19 19 16 14 12 12 9 8 10 12 12 13 14 13 12 10 13 16 16 11 10 10 13 17 20 21 20 19 20 21 21 19 16 13 11 10 8 7 7 8 10 10 12 15 15 14 13 12 12 12 13 13 13 12 12 11 10 10 11 13 13 14 15 15 17 21 21 18 15 14 12 12 11 12 12 13 13 13 12 10 10 10 10 11 11 10 10 10 10 10 11 12 12 11 11 12 12 12 12 11 11 10 10 9 10 10 10 10 9 9 10 9 9 10 10 10 10 11 11 11 12 11 11 10 10 9 11 14 16 17 15 13 12 13 12 11 11 11 10 10 11 11 10 9 9 8 9 11 12 11 11 12 11 11 11 11 12 12 11 10 10 10 11 12 12 12 12 11 9 10 11 12 12 12 11 12 12 12 14 14 12 11 12 12 12 11 9 7 8 11 16 17 15 12 11 11 11 11 11 12 11 11 11 12 11 11 11 12 13 13 12 11 11 12 12 11 11 11 11 11 10 10 11 11 11 10 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 11 10 8 8 9 8 8 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 12 12 12 11 11 12 12 12 12 12 13 13 12 13 13 12 12 12 13 13 12 12 12 12 12 12 12 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 13 13 16 16 14 12 12 10 9 11 13 13 14 15 15 15 15 15 16 15 16 16 16 16 16 18 20 19 17 15 14 13 12 12 12 12 12 12 14 16 19 21 19 16 15 14 14 14 13 12 12 11 11 12 12 12 12 11 11 11 12 11 11 12 12 12 12 13 13 14 14 15 15 14 14 15 15 14 14 14 15 17 17 16 13 12 14 15 16 14 14 14 14 13 11 11 12 13 13 13 14 14 14 14 14 14 14 13 13 13 13 14 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 5 14 15 13 13 6 2 6 26 30 13 8 6 10 15 18 16 12 10 13 19 23 23 19 14 12 11 9 5 5 8 10 12 15 16 14 11 8 7 7 9 13 15 14 14 17 16 14 12 9 7 7 10 12 13 14 14 14 13 11 12 15 18 17 13 11 12 14 17 19 19 17 18 20 22 20 17 13 10 8 7 5 4 5 7 9 11 12 13 14 15 14 13 13 13 13 13 13 12 11 12 12 12 13 14 17 20 22 23 23 21 18 15 14 12 11 11 12 12 12 12 12 11 10 10 10 11 11 11 11 11 10 9 10 11 11 11 10 10 10 11 12 12 11 10 11 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 12 12 11 11 9 7 7 9 14 18 18 17 15 13 12 13 12 11 10 10 10 10 10 10 10 10 10 9 10 11 11 11 12 11 11 11 11 11 11 11 11 10 10 11 13 14 12 11 9 8 9 10 11 12 12 11 9 8 12 16 14 12 12 13 13 13 12 7 4 7 10 13 14 14 14 13 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 12 11 11 11 11 11 12 11 12 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 6 7 11 13 13 13 13 13 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 11 11 11 11 12 11 11 11 12 13 12 12 12 11 12 12 12 13 13 13 13 13 13 13 12 13 13 13 14 14 14 14 15 14 12 10 9 10 11 11 13 13 13 14 14 13 14 14 14 14 14 14 15 16 17 20 19 17 15 14 13 13 13 12 12 12 12 12 12 13 14 14 13 13 13 13 13 13 13 13 12 12 12 12 11 11 12 11 10 11 11 12 12 12 12 13 14 15 14 14 15 15 15 14 14 15 14 14 14 14 15 15 16 14 13 13 15 16 15 15 15 14 13 13 11 12 13 13 13 13 14 14 13 13 14 14 14 13 12 12 12 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 0 -0 14 17 15 7 6 2 1 1 5 9 19 20 19 15 14 13 11 10 9 8 8 9 13 15 16 17 17 16 11 7 3 1 2 6 8 4 4 6 7 7 6 6 7 7 9 11 12 12 12 13 13 13 13 16 21 17 10 8 8 9 10 9 9 8 11 13 15 16 14 11 9 8 8 6 6 6 8 11 12 13 13 14 14 15 16 16 16 15 14 12 11 11 10 10 11 12 13 16 20 23 23 21 19 17 15 14 13 12 11 12 12 12 12 11 10 9 10 11 12 12 11 11 11 11 10 10 10 9 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 7 5 5 7 12 15 17 18 16 14 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 11 10 10 10 11 11 12 12 12 11 12 11 11 12 12 13 12 11 10 9 9 9 11 13 13 11 9 6 9 14 13 12 12 12 12 14 15 12 8 7 7 9 11 12 13 14 12 12 12 11 11 11 11 12 12 12 11 11 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 14 13 13 13 13 12 11 9 8 9 10 11 12 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 12 12 12 12 13 12 12 12 13 13 13 13 13 14 13 13 14 13 13 14 15 17 18 17 15 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 13 12 13 13 12 12 12 12 12 12 12 11 11 12 12 13 13 14 15 14 15 15 15 14 14 14 14 14 13 13 13 13 14 15 15 15 14 12 13 13 13 14 14 15 16 15 13 12 12 13 13 13 13 13 13 13 13 12 13 13 14 13 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 4 5 12 19 24 21 17 10 8 9 8 6 6 8 11 14 16 17 16 16 15 14 11 10 4 -2 -3 -1 2 2 -0 0 2 3 5 7 10 12 13 12 12 11 13 14 15 16 16 19 19 14 7 6 5 5 4 5 6 7 9 11 12 14 14 11 8 8 8 10 11 11 12 15 19 21 18 12 12 17 20 19 18 16 14 13 13 12 10 9 7 8 10 12 14 16 16 16 16 16 15 14 13 12 11 11 11 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 9 9 10 9 9 9 10 10 10 12 12 12 12 11 10 10 10 10 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 8 6 5 6 9 12 17 18 15 13 13 12 11 10 10 11 11 11 12 11 11 10 10 11 11 11 10 10 10 11 13 14 13 12 13 13 12 12 12 12 11 12 11 9 9 10 10 10 11 12 10 9 9 11 12 12 12 11 12 13 14 14 12 10 9 8 9 9 12 13 12 12 11 11 11 11 11 12 12 12 11 11 11 12 13 13 13 13 12 12 12 13 13 13 12 12 12 11 11 12 12 12 13 13 13 13 14 14 14 13 13 12 11 11 10 9 11 13 13 14 14 14 14 13 13 13 14 13 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 13 13 14 16 15 13 13 13 13 12 12 12 13 13 13 12 12 12 13 13 12 12 13 13 12 13 13 12 13 15 17 17 16 15 13 12 12 12 13 13 12 13 13 12 12 12 12 13 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 13 13 14 14 14 14 15 15 15 15 15 14 14 14 14 13 13 13 13 12 13 13 15 15 14 13 14 14 13 12 13 15 16 16 14 12 12 12 13 12 13 13 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 6 7 7 9 10 12 14 15 15 15 15 15 13 12 12 12 9 5 3 3 7 11 14 16 15 14 16 19 21 20 17 17 17 18 19 18 18 17 18 16 11 9 8 7 5 3 3 5 7 10 13 14 15 14 12 10 11 10 12 15 17 20 22 25 24 18 9 10 17 21 22 20 17 15 15 14 13 13 12 10 9 10 10 10 10 10 12 13 13 13 13 12 11 10 10 10 10 11 12 12 13 14 12 11 11 11 11 11 11 11 11 10 10 9 10 10 9 10 10 10 10 11 12 12 11 10 9 10 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 8 7 7 8 14 18 16 14 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 9 7 7 11 14 14 13 14 13 12 12 13 12 10 9 10 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 12 12 12 11 10 9 10 9 9 10 11 11 11 10 11 11 12 12 13 13 13 11 12 13 13 13 13 12 12 12 12 12 13 13 13 13 12 12 12 11 12 13 13 14 14 13 13 14 13 13 13 12 11 12 13 13 13 13 14 13 14 14 13 14 14 13 13 13 12 12 12 12 12 12 13 13 12 12 13 13 13 13 13 13 14 14 14 14 14 13 13 14 14 13 13 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 13 14 15 14 12 11 12 13 13 12 12 12 13 12 12 12 12 12 12 12 12 12 12 13 12 13 13 13 15 17 18 18 15 13 13 12 12 12 13 13 13 13 12 13 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 13 13 13 14 14 15 15 14 15 14 15 14 14 14 14 13 13 13 13 13 13 13 12 13 13 12 12 13 14 12 11 11 13 14 15 13 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 24 28 36 38 33 29 30 35 40 39 33 29 34 41 44 41 35 32 31 29 25 24 25 29 35 41 44 43 43 47 50 48 41 29 22 24 22 20 19 18 18 18 16 13 11 10 8 7 6 5 5 6 8 10 11 10 10 10 10 10 10 9 9 8 7 7 8 6 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 3 4 4 4 5 4 3 2 3 5 7 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 12 14 15 14 15 17 18 24 30 34 36 38 28 25 28 24 21 18 16 15 9 6 7 8 15 10 4 22 52 66 69 66 65 70 74 76 78 79 81 88 97 102 98 78 45 18 20 28 30 32 33 36 39 37 34 32 30 23 17 15 12 8 2 2 6 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 17 1 13 35 57 65 62 61 69 78 96 112 118 115 111 108 103 99 92 87 94 115 116 98 94 117 145 155 155 152 148 143 137 132 136 141 138 136 140 151 161 167 164 154 142 137 134 136 141 142 140 147 163 172 165 139 119 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 19 18 20 24 22 20 24 29 36 39 36 33 32 38 39 31 23 23 24 24 19 15 15 19 24 32 40 44 47 50 50 43 38 28 22 24 23 21 20 18 19 18 16 13 11 10 8 7 6 5 5 5 6 6 7 7 8 8 9 10 10 9 7 6 5 6 8 7 5 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 2 2 3 3 3 4 4 5 5 2 1 0 0 0 1 6 7 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 18 18 17 17 17 18 19 24 29 33 31 21 20 21 19 18 16 14 11 4 1 0 0 0 0 0 7 37 53 53 48 47 57 65 67 68 67 65 66 72 78 81 71 48 31 28 28 29 29 28 30 32 28 23 21 18 16 15 15 13 9 4 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 4 4 20 5 7 34 58 61 51 43 45 54 75 92 110 117 111 107 104 101 100 98 105 117 114 106 113 129 138 141 142 144 143 138 130 124 122 122 120 119 120 127 138 152 154 142 131 130 127 127 130 130 129 132 148 168 174 159 136 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 19 18 18 18 18 18 17 19 24 30 36 39 38 34 33 31 23 19 22 22 23 21 17 15 16 20 24 30 34 37 38 35 28 24 18 15 17 21 22 21 21 21 20 18 15 12 10 8 6 6 5 5 5 5 5 5 5 4 5 7 8 9 8 7 5 5 6 7 8 7 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 5 3 1 0 0 0 0 1 2 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 22 22 20 19 18 20 22 24 27 30 28 22 19 18 16 13 11 8 4 1 0 0 0 0 0 0 1 26 44 41 19 15 39 55 55 53 48 41 41 49 57 62 58 44 33 30 30 30 30 27 22 18 14 12 12 10 10 13 13 13 10 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 3 2 3 11 19 14 10 8 18 36 47 42 31 27 28 50 81 98 112 125 121 114 111 110 110 111 114 115 114 111 116 122 125 128 132 136 137 134 131 127 124 122 119 119 114 114 124 138 148 144 136 130 125 123 124 122 118 120 132 155 177 176 151 134 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 16 16 16 16 16 16 17 19 22 29 38 43 39 32 25 20 18 20 22 25 24 21 20 22 24 26 25 23 23 22 20 16 13 10 6 7 12 17 19 21 23 22 20 16 13 10 9 7 6 5 5 5 5 5 4 4 4 3 4 6 8 8 7 6 6 7 7 7 8 8 7 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 2 0 0 0 0 0 0 2 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 16 24 27 24 22 20 20 21 23 24 25 27 27 20 16 13 9 6 6 5 2 0 0 0 0 0 0 0 6 24 28 16 5 1 18 36 30 25 23 16 17 24 30 38 42 37 30 28 28 26 30 28 18 16 14 12 11 9 10 12 12 11 10 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 8 6 10 20 21 13 6 7 17 26 27 18 12 20 46 90 124 136 128 132 129 122 118 116 118 121 125 126 123 121 120 120 121 123 125 127 126 124 123 124 123 124 124 126 124 121 123 130 141 146 142 134 128 125 124 121 116 115 124 148 178 187 166 147 139 nan nan nan nan nan nan nan nan nan nan 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 8 11 12 13 13 13 14 16 17 22 33 40 36 29 25 23 21 21 24 26 27 28 32 33 34 32 26 21 18 15 13 14 13 10 8 8 11 13 15 17 19 20 20 18 15 12 11 10 8 6 5 5 5 4 4 4 4 3 3 4 5 7 7 8 8 8 8 8 8 9 9 8 7 6 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 2 0 0 0 0 0 0 0 0 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 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 2 8 17 22 21 19 18 18 19 20 20 21 22 20 12 8 7 6 6 6 5 3 1 1 3 3 1 0 0 11 24 16 3 0 0 4 8 3 2 5 2 2 3 5 11 18 22 19 20 19 17 22 22 20 18 16 13 12 11 11 13 13 12 11 11 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 8 12 8 3 1 0 2 14 31 30 15 26 82 140 151 152 135 135 133 130 125 121 121 123 127 131 129 128 125 122 120 118 116 114 111 107 106 108 109 111 116 123 131 133 128 124 129 140 144 141 133 126 122 117 112 111 118 141 175 195 185 165 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 0 2 5 7 9 11 10 10 12 14 17 29 34 27 23 24 24 22 22 25 27 27 30 37 41 41 38 32 25 20 16 15 16 17 16 15 14 14 15 17 17 16 17 19 20 17 15 14 13 11 8 6 5 4 4 4 4 4 4 3 3 4 5 6 6 7 8 8 8 8 8 9 10 10 9 8 8 7 5 4 4 4 3 3 3 3 3 3 3 3 2 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 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 1 2 8 11 11 10 10 12 14 15 15 15 12 7 8 12 16 13 7 6 4 2 3 10 13 9 5 3 6 11 9 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 12 13 13 16 18 18 17 16 14 13 12 13 15 14 12 11 11 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 1 0 1 2 5 21 49 55 48 51 99 154 157 146 133 133 136 137 136 132 128 126 126 128 128 128 126 123 119 114 110 105 100 94 90 89 90 94 100 111 126 137 134 123 118 125 133 136 131 123 117 113 108 106 113 134 167 198 200 182 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 1 2 5 6 8 8 6 8 11 14 20 22 17 17 19 19 18 19 22 24 21 23 30 36 39 39 35 31 25 20 18 18 19 20 20 20 20 20 20 20 18 17 18 20 20 17 15 14 12 10 8 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 8 8 9 11 11 10 9 9 9 8 5 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 3 4 6 8 8 8 7 11 19 22 23 22 15 8 5 3 7 16 20 18 14 10 10 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 10 13 14 12 9 11 12 11 11 12 14 14 13 12 12 11 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 21 47 66 65 73 83 126 150 151 143 132 130 129 134 138 139 138 136 132 129 127 125 123 120 117 112 107 102 95 87 78 74 74 80 88 98 112 129 137 130 117 112 115 120 122 118 112 108 106 105 112 129 156 185 200 195 175 nan nan nan nan nan nan nan nan nan 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 1 1 3 4 4 4 5 8 10 11 10 10 11 12 13 12 12 17 19 13 17 26 29 34 37 37 34 30 26 22 19 18 20 22 23 23 23 23 24 22 19 18 19 19 17 15 14 12 10 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 10 11 11 9 8 8 9 9 8 6 4 3 3 3 3 3 3 3 3 3 2 2 3 4 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 10 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 2 3 7 15 21 21 19 16 12 8 6 6 11 16 18 17 14 12 13 14 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 5 3 1 0 2 6 5 6 6 9 11 11 12 12 11 10 9 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 26 48 80 82 76 74 84 109 131 141 139 130 122 115 116 122 128 133 135 134 132 127 123 119 117 114 110 104 97 91 84 75 68 66 72 81 85 98 123 139 137 122 109 105 106 109 111 107 105 104 105 109 122 143 169 192 201 189 178 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 0 2 2 2 3 7 10 9 6 5 5 5 5 6 7 10 11 9 12 21 24 27 31 33 33 32 31 27 22 21 22 23 24 23 21 22 24 24 21 20 19 18 17 15 12 10 9 9 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 9 11 11 10 9 8 8 8 7 7 7 5 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 10 14 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 15 13 10 7 6 6 6 5 8 11 12 9 4 3 4 6 5 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 7 10 12 11 10 10 9 8 4 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 25 53 78 89 86 82 86 98 116 130 135 128 114 103 98 99 103 109 115 118 121 119 114 110 108 105 98 91 86 82 81 78 76 74 73 79 78 88 114 137 141 129 112 103 102 104 105 103 100 102 105 107 113 129 152 179 197 196 187 nan nan nan nan nan nan nan nan 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 1 4 8 8 5 2 1 1 1 2 3 5 4 3 5 11 14 17 20 22 24 26 29 30 29 29 28 26 24 21 18 20 23 24 22 21 19 18 17 14 11 9 7 7 6 6 6 5 5 5 5 5 6 5 5 4 4 4 3 4 4 4 5 8 10 10 9 8 7 7 7 7 7 7 7 5 4 3 3 3 3 3 3 3 2 2 3 3 3 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 14 21 18 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 5 8 6 3 2 1 1 0 2 2 3 5 6 3 0 0 0 0 0 0 2 4 2 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 1 3 6 8 8 9 8 5 2 1 5 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20 49 74 88 86 82 84 86 94 113 132 131 116 99 89 85 84 88 94 98 101 104 104 101 99 93 87 82 79 77 77 79 85 91 87 85 81 83 104 133 143 135 119 109 108 108 106 102 98 99 105 108 110 118 136 165 187 192 185 nan nan nan nan nan nan nan 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 1 4 4 3 1 0 0 0 0 2 2 1 0 1 3 5 7 9 10 12 16 22 26 28 32 33 28 22 19 18 21 25 24 22 21 19 17 17 14 11 8 6 4 5 5 5 5 5 5 6 8 8 7 6 5 3 3 3 3 3 3 3 5 8 9 8 7 6 7 7 6 6 6 7 6 6 4 3 2 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 5 7 17 23 21 17 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 1 5 5 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 3 1 0 0 2 2 2 4 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 39 59 73 76 75 75 75 80 98 124 135 126 109 95 86 82 86 90 93 91 94 97 100 102 100 94 89 87 83 80 81 85 95 97 94 88 84 97 125 139 136 129 125 123 119 114 108 98 96 103 112 113 112 124 153 177 182 173 nan nan nan nan nan nan nan 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 2 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 3 2 0 0 1 2 2 3 4 4 8 12 15 19 24 27 23 18 17 19 24 28 27 22 19 17 16 16 16 13 9 5 4 4 4 4 4 5 6 8 9 9 8 8 6 5 4 4 3 2 2 2 3 6 7 7 6 6 6 6 6 6 6 6 7 7 6 5 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 7 6 11 17 18 24 26 20 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 2 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 5 7 8 5 1 0 0 0 0 0 0 0 0 2 2 1 0 0 2 12 27 41 55 65 68 66 66 70 83 108 128 132 123 112 103 98 101 101 93 86 87 91 98 108 117 114 108 104 97 92 91 91 98 105 105 98 90 98 118 130 133 137 142 143 133 125 120 104 93 98 110 118 119 125 145 167 174 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 3 0 1 0 0 1 2 2 4 6 8 10 13 15 16 16 16 20 25 28 26 21 16 15 16 16 16 14 11 7 4 3 3 4 4 6 8 8 8 7 7 7 7 6 6 6 5 4 3 3 3 5 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 4 3 2 3 3 3 3 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 5 7 5 8 10 13 16 19 22 28 30 22 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 1 0 2 4 6 4 0 0 0 4 16 26 39 56 64 61 58 64 74 91 105 111 116 120 120 120 121 118 109 95 86 86 97 114 127 127 120 114 110 108 105 104 106 116 122 114 97 99 117 127 133 144 152 155 141 130 125 114 103 98 107 123 131 132 142 164 173 165 158 nan nan nan nan nan nan 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 4 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 7 3 1 0 0 0 1 2 4 4 5 6 8 10 11 13 14 18 21 22 20 17 15 14 15 15 15 15 12 9 8 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 6 5 5 4 5 6 6 5 4 4 5 4 4 5 6 6 6 7 6 6 6 5 4 3 3 3 3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 8 11 15 17 19 23 28 30 29 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 5 4 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 1 4 6 4 3 1 1 12 19 29 48 62 63 60 66 77 83 85 84 86 98 111 120 122 122 116 103 88 86 98 121 137 135 127 122 123 123 119 108 108 122 137 132 109 104 119 127 135 146 153 150 136 126 122 118 110 103 108 129 143 142 146 166 178 173 166 nan nan nan nan nan 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 3 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 9 7 4 2 0 0 0 2 3 4 4 5 7 9 10 11 12 14 15 14 14 14 14 14 14 14 15 15 14 12 8 7 7 7 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 6 6 6 5 4 4 4 4 4 5 6 6 7 7 7 7 7 6 4 3 3 3 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 12 16 16 20 26 30 31 26 12 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 5 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 2 4 6 6 6 6 12 19 27 42 59 66 66 73 84 88 84 78 75 80 90 98 101 102 101 96 86 86 100 126 145 144 138 135 140 143 141 128 117 122 139 144 130 120 124 129 136 145 146 132 119 116 121 122 115 110 116 138 157 157 153 166 183 180 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 3 5 6 6 5 4 2 0 0 0 0 0 0 0 0 0 1 5 8 8 7 9 9 8 5 1 0 0 1 1 2 4 5 7 9 10 10 10 10 10 11 12 12 13 14 14 14 14 14 15 16 15 12 10 9 9 9 8 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 6 6 7 7 7 7 7 7 6 5 3 3 3 3 3 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 9 11 13 16 15 19 25 29 29 21 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 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 2 4 5 4 3 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 4 2 0 0 0 3 5 7 8 13 18 21 28 40 54 62 67 77 89 94 92 88 85 82 80 80 80 80 81 80 78 85 104 132 145 143 140 142 149 154 153 150 138 126 135 154 152 137 130 131 135 142 138 117 101 105 122 134 130 123 129 153 174 166 154 164 177 169 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 1 3 4 5 6 6 6 5 5 4 2 1 0 0 0 0 0 0 2 6 10 9 5 6 8 8 6 2 0 0 0 0 0 2 6 8 9 10 10 10 9 9 10 10 11 11 12 13 13 12 12 13 16 16 14 13 12 12 12 11 10 8 8 7 6 5 4 4 4 4 4 5 6 6 6 6 5 5 5 6 6 5 4 4 4 4 5 6 6 7 7 7 7 7 8 7 6 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 10 11 13 16 14 18 24 26 24 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 4 4 2 0 0 0 2 6 5 6 8 7 6 4 4 3 1 0 2 3 6 7 11 17 22 28 40 52 59 63 72 83 90 93 97 98 93 83 73 68 67 72 76 76 85 107 133 138 132 131 137 143 145 147 150 149 136 133 154 168 155 137 129 132 139 135 108 85 93 121 138 141 131 137 161 181 174 161 165 164 149 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 2 3 4 5 5 5 5 5 5 5 4 4 2 0 0 0 0 0 2 5 8 8 3 3 5 7 5 2 0 1 1 1 1 2 4 5 6 8 10 10 10 9 9 9 10 10 10 11 11 10 10 11 13 15 14 13 12 13 13 13 12 11 10 8 5 4 4 4 3 4 4 4 5 5 6 6 6 5 5 5 7 7 5 4 4 4 5 5 6 7 7 7 7 7 7 7 7 5 3 3 3 3 3 2 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 6 10 10 11 14 16 19 22 24 20 11 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 2 2 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 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 1 4 9 18 18 12 6 1 2 0 1 4 5 7 7 6 6 5 4 1 0 0 1 3 5 6 12 19 26 38 54 60 60 64 73 78 80 86 93 92 81 69 60 58 64 70 78 88 106 121 124 121 122 128 132 130 130 136 145 146 138 140 158 164 142 128 132 140 139 104 77 85 108 118 117 116 124 146 171 183 182 177 168 147 126 123 nan nan nan 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 3 3 3 4 5 5 5 5 4 5 5 4 2 0 0 0 1 0 1 3 4 2 1 3 5 4 2 1 2 3 5 6 4 3 2 3 5 7 9 9 10 9 9 9 9 9 10 11 10 9 8 9 12 13 12 12 12 12 12 10 10 10 9 6 4 4 3 4 4 4 4 4 4 5 5 6 5 4 4 5 6 6 4 4 4 4 4 5 6 7 7 7 7 7 7 7 5 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 2 3 1 2 10 8 8 11 16 20 22 20 16 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 1 0 0 0 0 0 0 0 4 14 29 36 31 26 19 14 10 4 2 2 4 6 6 6 5 3 1 0 0 0 1 0 0 5 14 21 33 52 64 61 58 64 67 67 68 72 73 69 64 58 54 55 60 72 86 101 111 116 119 123 127 126 123 119 122 136 151 150 134 124 147 147 137 139 141 136 115 96 92 99 98 92 94 108 131 160 183 196 191 181 173 161 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 3 1 1 1 2 3 4 6 7 6 4 4 4 3 2 0 0 1 3 2 0 0 0 0 0 1 3 2 1 1 3 5 6 6 3 1 1 1 2 4 5 6 8 9 10 9 9 9 10 11 11 9 7 6 9 12 12 11 10 8 8 7 6 8 8 6 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 6 6 6 6 6 7 7 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 9 5 6 8 12 19 22 18 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 1 0 0 0 0 0 1 2 0 2 14 30 39 38 37 40 36 29 20 11 5 2 3 4 5 3 1 0 0 0 0 0 0 0 1 7 16 26 43 58 60 58 60 61 62 63 65 67 66 61 57 52 48 50 62 77 94 107 115 123 132 135 130 123 117 116 124 142 156 149 132 134 144 146 145 141 137 132 124 120 119 114 106 110 122 123 117 134 172 183 183 192 195 196 nan nan nan 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 5 0 0 0 0 1 3 7 11 13 11 8 6 3 1 0 0 2 5 8 2 0 0 0 0 0 1 0 0 0 2 4 5 4 2 0 0 0 0 1 2 2 3 6 8 9 9 9 9 10 10 8 7 6 7 10 11 9 6 4 3 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 2 3 3 4 4 4 4 5 5 5 5 6 6 5 3 2 2 2 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 4 1 2 6 10 17 20 17 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 2 1 1 1 0 0 0 0 0 0 0 1 4 6 6 4 2 0 0 0 0 1 3 4 6 7 10 9 19 26 25 22 20 30 39 49 50 38 24 12 4 3 5 5 3 2 0 0 0 0 0 0 0 2 12 22 36 54 59 60 60 62 62 63 66 70 70 64 58 52 46 46 54 69 85 99 112 127 143 147 137 125 117 113 114 125 142 153 155 160 153 147 146 144 141 141 145 152 159 164 167 173 164 126 79 81 127 152 168 189 199 204 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 4 0 0 0 0 0 2 6 13 15 14 12 10 8 5 3 2 3 6 10 7 3 0 0 0 0 0 0 0 0 0 1 2 3 2 1 1 0 0 0 0 0 0 1 4 6 8 9 9 9 8 7 6 6 7 8 8 7 4 1 1 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 3 3 3 3 4 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 3 1 1 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 3 9 14 17 15 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 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 3 7 12 13 10 6 6 5 2 0 0 0 0 0 0 1 3 6 8 9 5 0 0 0 1 6 10 11 14 21 31 36 36 32 18 9 5 9 17 34 58 67 59 43 28 17 12 10 9 7 2 0 0 0 0 0 0 0 9 22 37 53 60 61 62 64 65 66 68 72 73 69 63 58 49 45 51 63 79 92 105 125 150 155 142 125 113 104 100 107 123 138 148 152 150 145 144 147 149 147 149 160 179 197 202 203 187 139 92 89 104 122 148 173 187 195 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 8 4 0 0 0 1 0 1 5 12 13 11 11 12 12 12 10 8 7 9 12 12 8 3 0 0 0 0 0 0 0 0 0 1 4 5 4 3 1 0 0 0 0 0 0 1 2 5 8 8 9 8 6 6 5 5 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 3 2 2 1 1 2 2 3 4 4 4 4 4 4 4 4 2 0 0 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 13 13 10 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 13 14 13 12 11 7 3 0 0 0 0 0 0 0 0 1 4 9 7 1 0 0 3 13 18 20 22 28 36 42 43 42 34 22 12 5 3 10 27 51 68 72 61 42 25 22 24 19 9 2 0 0 0 0 0 0 8 22 38 55 64 64 61 62 64 63 62 66 69 69 67 66 58 51 51 60 74 85 96 118 145 151 139 122 106 92 84 91 109 126 138 143 145 139 133 140 156 163 159 163 179 191 194 195 183 152 122 115 119 130 150 163 166 176 185 nan 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 13 9 4 1 3 4 3 4 8 10 7 3 5 7 10 12 13 12 12 14 16 16 14 11 7 5 4 2 2 1 0 0 0 0 2 7 8 6 3 2 0 0 0 0 0 0 0 2 6 8 9 9 8 7 6 5 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 5 4 2 2 2 2 3 4 4 4 3 3 3 2 1 0 0 0 2 2 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 11 12 11 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 6 4 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 3 5 5 7 7 6 7 5 1 0 0 0 0 0 0 0 0 0 0 6 9 7 5 3 8 16 21 22 22 22 22 20 24 33 38 37 32 25 16 3 5 16 34 61 78 72 48 27 29 28 20 8 2 0 0 0 0 0 5 17 32 46 60 63 58 55 55 55 56 57 61 64 65 68 66 61 59 63 70 78 88 106 127 137 131 118 101 82 72 79 101 123 138 149 150 136 123 131 153 171 180 183 188 189 187 186 184 170 145 122 121 145 162 163 155 160 166 nan 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 21 16 8 2 5 10 11 10 11 10 4 0 1 2 3 5 8 10 12 14 16 19 21 23 24 20 16 12 9 6 3 1 0 0 0 3 8 7 4 2 0 0 0 0 0 0 0 1 4 7 9 10 10 9 8 7 5 2 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 1 1 4 6 7 5 3 2 2 2 3 3 3 3 2 1 0 0 0 0 0 1 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 12 12 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 7 9 9 7 6 5 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 3 4 3 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 4 13 17 16 12 12 13 16 16 15 12 10 9 9 12 20 28 36 41 40 30 11 3 7 27 58 75 71 50 36 31 26 19 12 6 2 1 0 0 2 9 19 29 42 49 48 45 40 40 37 41 47 51 56 60 64 67 68 69 69 72 79 90 106 116 118 115 105 87 70 73 92 115 137 158 160 144 131 134 145 160 177 190 197 197 194 188 188 185 167 143 133 142 155 155 153 163 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 22 23 20 11 1 3 11 14 13 13 11 5 1 0 0 0 0 2 3 5 7 9 14 19 26 31 30 28 24 19 13 7 3 0 0 0 1 3 4 2 1 0 0 0 0 0 0 0 2 4 6 7 8 9 9 9 8 7 4 2 0 2 2 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 3 3 3 3 3 3 3 3 2 0 0 0 0 0 1 1 2 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 8 12 12 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 1 1 3 5 7 8 8 7 6 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 20 19 15 10 7 7 7 5 2 2 2 1 2 5 13 23 35 45 46 29 6 2 9 29 55 76 72 51 32 26 26 22 16 8 3 0 0 0 2 5 10 18 26 35 35 32 30 25 24 27 33 42 46 53 64 71 74 72 72 74 76 81 87 95 103 106 96 80 75 84 100 120 146 161 157 147 139 132 133 148 168 182 188 188 184 181 184 182 155 142 136 140 147 146 154 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 16 19 17 8 0 1 6 10 12 12 12 9 5 3 2 1 0 0 0 0 0 1 4 8 13 16 20 25 28 26 18 12 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 7 12 15 10 6 2 0 1 2 2 2 1 0 0 0 0 0 1 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 3 4 4 3 3 3 1 0 0 0 0 0 1 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 10 12 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 4 5 4 1 1 2 3 5 7 7 7 7 6 6 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 4 7 9 9 5 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 2 8 13 14 13 8 2 1 2 0 0 0 0 0 0 1 8 13 19 36 46 41 14 2 4 14 32 64 83 68 41 26 26 28 26 19 7 1 0 0 0 0 1 2 9 23 29 30 24 19 16 16 19 25 29 36 50 64 71 71 71 71 68 64 64 72 84 93 94 85 79 82 90 98 113 135 149 149 138 124 116 124 137 151 164 171 170 165 170 189 155 117 108 113 133 149 158 163 163 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 10 12 12 6 1 0 1 4 7 8 9 10 9 8 7 5 2 2 1 0 0 0 2 5 7 7 10 13 17 20 18 14 12 8 2 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 9 17 16 8 2 0 0 1 3 3 3 2 1 0 0 1 3 5 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 4 4 3 2 0 0 0 0 0 0 1 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 3 8 12 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 1 0 1 2 2 1 2 3 5 6 6 7 7 6 6 6 5 5 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 6 7 8 10 10 9 6 1 0 0 0 0 2 4 5 4 3 2 1 1 1 0 0 0 2 6 9 11 10 7 4 2 2 0 0 0 0 0 0 7 11 14 25 38 42 25 11 10 13 22 46 73 78 59 39 32 32 28 24 16 6 0 0 0 0 0 0 5 14 22 22 16 9 6 7 10 14 17 22 35 49 60 62 63 68 62 55 55 60 70 79 83 82 82 85 88 89 91 100 115 125 122 116 115 116 121 128 139 148 149 144 149 170 164 126 88 83 111 153 187 187 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 10 12 11 8 3 1 0 1 3 5 7 10 11 11 10 8 6 5 4 3 6 7 7 8 8 7 6 6 7 9 12 14 14 13 10 6 2 0 0 0 2 3 3 2 1 0 1 3 3 1 0 0 0 0 0 3 15 20 11 4 1 0 1 3 5 5 4 3 2 2 3 4 6 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 5 3 3 2 0 0 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 12 7 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 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 7 4 1 0 0 0 0 0 2 4 7 8 7 6 7 6 6 5 5 4 4 5 6 6 6 4 2 2 1 2 1 2 3 4 3 4 6 8 8 9 9 10 9 8 7 6 5 4 0 0 0 0 0 1 2 2 1 1 2 2 2 2 1 0 0 0 2 5 7 13 14 13 10 8 0 0 0 0 0 1 6 10 12 19 33 40 36 28 25 23 23 33 54 70 65 53 50 46 34 22 22 14 2 0 0 0 0 0 2 8 14 16 14 7 0 0 2 5 6 5 24 41 54 57 57 58 55 52 52 55 61 68 72 75 80 85 90 92 88 84 86 94 94 96 110 116 120 122 124 126 124 121 122 136 159 164 133 111 122 154 182 198 168 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 14 16 15 12 7 5 3 5 7 8 8 10 10 10 10 8 6 6 7 8 9 10 11 11 10 9 6 3 2 4 7 11 13 14 13 10 7 4 2 0 1 3 5 6 4 4 7 10 9 5 1 0 0 0 0 1 7 16 14 6 2 1 3 4 8 10 10 8 7 6 6 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 7 4 2 2 1 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 12 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 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 6 6 3 1 0 0 0 0 0 1 2 5 7 8 7 7 7 7 6 4 2 2 3 4 6 7 7 5 4 4 3 2 2 3 3 3 3 4 6 7 8 7 7 7 5 4 2 3 5 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 2 4 11 16 18 17 14 9 3 0 0 0 0 3 7 10 14 20 29 34 34 36 36 32 33 39 50 46 47 66 71 58 40 30 24 9 2 0 0 0 0 0 3 9 12 12 7 1 0 0 0 1 0 19 41 56 63 63 59 54 53 53 53 55 57 58 64 74 81 87 94 92 84 78 77 75 76 86 103 117 123 120 115 111 106 101 104 126 162 175 171 166 174 186 192 184 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 19 20 21 19 17 15 13 11 11 12 13 13 13 12 10 9 7 6 6 6 6 7 8 10 10 10 9 8 3 1 1 3 7 10 12 12 12 11 8 6 3 1 5 6 7 7 9 11 15 20 19 12 6 4 3 2 1 3 10 13 10 6 5 6 8 12 14 15 16 15 13 11 10 9 7 5 3 1 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 6 3 2 2 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 2 2 2 1 0 0 0 0 0 0 0 1 3 6 8 7 7 8 7 5 2 1 2 3 5 6 7 6 4 3 2 1 0 0 0 0 0 1 2 3 4 5 5 5 4 3 3 4 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 2 5 10 16 18 17 15 8 2 0 0 0 1 3 6 11 16 18 18 22 27 32 37 42 48 44 29 26 53 72 75 69 57 42 26 12 2 0 0 0 0 1 3 5 7 6 0 0 0 0 0 3 26 48 66 78 80 73 65 62 60 59 56 53 49 52 63 73 79 88 94 89 82 76 71 66 68 83 104 121 123 117 110 105 98 92 100 126 157 176 187 187 193 196 199 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
58 46 37 30 24 23 22 19 16 15 15 16 16 16 14 12 11 9 7 7 7 6 6 7 9 11 12 12 14 12 9 6 4 8 10 13 12 12 11 10 8 6 6 7 7 7 7 8 11 21 32 37 36 28 20 14 11 9 8 10 13 14 13 13 12 13 15 15 17 18 19 18 18 17 17 16 11 5 2 0 0 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 3 6 8 9 8 5 3 2 2 1 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 3 10 12 9 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 1 2 1 1 1 1 1 0 0 0 0 0 0 2 5 8 8 8 8 6 4 2 1 3 4 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 2 3 4 3 3 4 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 5 9 15 19 20 15 6 0 0 0 0 0 2 6 13 17 16 11 11 16 28 40 52 52 33 17 23 40 50 55 55 50 42 28 12 0 0 0 0 0 0 1 1 1 0 0 0 0 0 6 27 53 73 89 95 92 84 77 74 72 70 64 55 54 59 66 72 77 84 91 90 84 79 71 67 74 92 114 128 128 121 113 106 97 94 100 118 142 163 174 183 190 193 192 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
91 78 64 50 36 31 28 25 22 20 18 17 17 16 15 14 13 12 9 12 12 10 9 11 12 14 18 24 30 30 26 20 16 14 15 16 17 18 16 14 11 10 9 8 7 6 6 6 10 20 31 40 47 45 40 30 24 20 17 16 16 19 20 20 18 17 16 15 16 17 19 20 20 19 19 19 17 11 5 2 1 2 4 5 5 4 1 0 0 0 0 0 0 0 0 0 1 4 7 10 9 7 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 3 8 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 1 2 2 1 2 3 4 2 0 0 0 0 0 0 1 5 9 10 9 8 7 6 6 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 5 5 11 17 20 19 10 1 0 0 0 0 0 1 8 15 20 12 7 8 17 29 44 52 39 18 6 8 11 10 10 23 33 33 22 4 0 0 0 0 0 0 1 3 3 3 2 0 0 7 29 54 68 79 88 92 94 90 87 86 85 82 70 65 66 68 71 72 75 83 90 92 88 82 74 72 84 104 129 141 137 125 116 106 99 96 98 103 113 125 143 162 173 175 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
99 96 88 74 56 47 41 38 32 28 26 23 20 17 18 18 17 16 16 18 20 21 19 18 18 20 26 35 43 45 41 34 27 24 22 21 21 21 21 21 18 14 10 7 5 5 5 4 5 9 17 24 32 38 42 38 35 34 31 26 24 24 24 23 20 17 15 14 14 16 18 19 19 18 19 19 19 17 11 7 4 3 3 4 5 5 4 2 1 0 0 0 0 0 0 0 0 1 3 5 6 3 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 9 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 1 2 3 3 3 2 1 0 0 1 1 1 3 5 5 2 0 0 0 0 0 0 0 1 5 10 11 10 9 9 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 5 5 5 5 8 14 18 19 13 4 0 0 0 0 0 0 4 13 20 16 9 6 11 20 32 40 38 24 8 0 0 0 0 2 9 16 15 7 7 1 0 0 0 2 7 15 16 15 12 5 1 2 16 48 52 53 57 67 81 91 94 93 92 91 85 81 80 79 76 74 74 79 88 95 94 92 89 78 79 93 118 138 147 143 133 120 106 96 89 82 79 86 99 122 147 157 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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6 8 9 9 8 5 4 5 6 7 5 3 1 1 3 5 7 8 9 10 11 11 12 12 13 16 25 33 34 30 29 31 38 50 58 56 46 38 30 20 12 11 12 14 16 19 22 22 20 16 12 8 11 21 35 43 44 41 35 28 22 22 28 36 42 40 28 14 7 6 9 16 22 23 22 24 26 26 31 39 47 45 40 40 47 51 47 41 39 36 40 49 58 62 58 46 29 15 8 5 4 4 5 12 7 2 0 0 0 0 0 1 2 3 7 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 16 24 26 24 16 11 9 8 8 8 7 3 1 0 3 6 7 4 0 0 0 0 3 4 4 2 0 1 4 8 14 17 17 14 3 0 2 3 8 13 18 32 48 58 62 67 78 97 123 130 133 131 123 112 99 90 88 85 80 76 75 75 76 77 78 78 76 71 67 68 73 78 79 80 83 84 86 86 86 86 88 87 83 79 76 70 69 69 72 79 87 93 96 97 97 98 97 94 88 78 71 71 76 81 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 8 8 7 6 5 4 4 5 5 4 4 3 2 1 1 3 5 7 8 9 11 12 12 13 17 20 23 25 24 22 23 28 38 49 55 54 52 47 38 25 16 11 9 10 12 17 19 19 17 14 12 10 13 23 37 43 39 30 23 20 23 29 32 29 22 13 10 10 11 12 16 20 21 21 22 24 23 23 30 40 41 35 35 41 48 50 47 43 40 42 54 67 73 70 53 32 19 12 8 5 4 4 7 5 1 0 0 0 1 3 4 5 6 9 12 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 2 2 3 2 2 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 20 24 20 16 11 8 7 7 8 8 6 2 0 0 2 4 4 2 0 0 0 0 1 2 2 1 2 8 16 21 25 27 26 22 11 5 1 1 2 5 9 20 38 54 59 61 65 70 95 113 124 130 131 127 122 114 106 99 91 83 77 74 76 78 82 83 82 81 80 82 87 93 97 98 98 97 94 92 91 90 89 86 78 75 74 70 68 67 65 66 69 74 79 86 92 98 101 102 100 92 84 78 76 77 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 5 4 4 5 6 6 6 6 5 5 5 4 3 2 1 2 3 3 4 5 8 12 13 16 20 21 21 19 19 18 18 20 25 34 42 48 53 55 53 48 33 17 6 6 8 13 15 16 16 15 14 12 12 14 21 27 26 20 16 15 18 20 20 16 11 11 15 23 24 22 24 28 32 32 28 23 20 18 21 31 39 42 45 52 59 61 57 49 45 47 58 70 77 78 64 41 25 20 15 8 4 2 2 4 5 4 4 5 5 5 4 5 7 8 11 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 1 2 3 3 2 1 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 1 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 20 23 17 12 8 6 5 5 6 6 3 1 0 0 0 1 1 0 0 0 0 0 0 0 1 3 12 24 34 40 42 44 36 25 17 10 3 0 0 1 3 10 28 49 58 60 60 62 65 82 98 110 120 126 129 130 128 123 117 108 98 93 92 92 94 96 96 98 102 105 108 111 115 119 119 117 114 111 110 109 106 102 94 93 90 83 77 72 64 56 52 52 56 65 76 86 94 99 101 100 97 93 87 82 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 3 4 6 8 10 10 9 8 7 6 4 3 3 4 4 3 3 2 1 2 6 11 14 17 20 22 21 19 18 18 18 17 17 18 23 32 40 45 50 55 49 32 13 7 8 11 13 13 14 15 15 14 13 12 12 14 16 16 18 20 23 24 22 18 16 18 24 30 32 30 32 37 42 42 38 30 20 16 16 22 33 46 54 61 66 66 59 52 50 53 59 67 77 81 75 57 37 30 22 12 5 2 2 5 8 10 10 8 7 5 5 8 8 8 8 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 2 3 4 5 4 4 2 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 22 22 14 9 7 5 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 24 41 57 61 59 58 44 26 16 9 3 0 0 0 1 5 17 35 48 56 58 59 61 67 75 80 88 102 112 121 127 130 129 126 122 118 114 112 110 109 110 113 114 114 114 114 118 123 124 121 119 118 116 118 120 116 114 114 110 104 96 86 74 60 50 44 43 47 57 69 81 89 94 97 99 100 99 94 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 11 12 12 15 16 16 13 11 8 5 3 3 4 5 5 4 4 3 2 3 4 8 14 18 19 20 20 19 17 17 18 17 15 13 14 19 24 25 30 42 51 43 25 12 8 12 14 14 13 13 14 14 14 14 14 14 16 19 26 35 39 37 33 30 28 26 25 27 31 34 37 42 46 47 46 42 31 21 16 16 24 39 54 64 66 64 57 53 55 59 62 66 73 79 77 66 52 42 31 13 4 3 5 7 8 8 8 8 9 9 13 14 11 8 8 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 4 5 6 6 6 5 4 4 4 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 1 2 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 21 12 8 6 4 2 1 2 1 0 0 0 0 1 2 2 2 1 0 0 0 0 0 4 16 34 62 76 70 64 59 41 22 11 5 1 0 0 0 0 2 9 22 31 43 52 54 56 60 64 62 62 65 73 84 98 109 117 122 123 121 117 114 112 109 107 107 105 102 98 98 101 106 109 107 105 103 104 106 110 111 112 113 113 113 108 100 90 76 62 48 41 41 46 56 67 77 82 86 90 95 98 100 99 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 14 15 18 20 21 20 17 15 11 8 7 8 9 10 9 8 7 6 5 4 4 6 11 15 16 17 18 18 18 18 18 19 18 17 16 16 15 13 14 23 41 45 33 18 13 15 16 14 12 11 12 12 13 14 16 17 17 19 29 42 50 46 39 37 34 27 22 23 31 39 44 48 50 49 48 51 43 32 21 16 21 34 49 57 60 59 55 54 58 63 64 66 71 75 74 69 62 50 42 14 6 10 14 14 12 10 9 11 15 18 23 15 8 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 5 5 6 6 6 6 6 7 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 17 18 12 8 6 4 2 0 0 0 0 0 0 1 6 11 10 7 3 1 0 0 1 4 13 24 47 72 78 68 61 54 36 17 9 4 0 1 0 0 0 0 4 12 18 26 36 44 50 53 57 56 55 54 52 55 64 76 90 102 110 112 108 104 102 100 98 94 90 84 77 75 78 81 83 84 84 82 83 86 89 92 95 97 97 98 99 98 95 88 78 61 47 41 42 48 54 62 66 71 77 83 88 94 97 98 nan nan nan nan nan nan nan nan nan nan nan nan nan
16 17 18 20 22 22 20 18 16 14 14 12 14 16 16 16 14 12 11 9 7 6 6 9 14 16 16 16 17 20 21 21 21 21 21 20 18 15 13 13 16 28 41 38 29 23 20 17 12 9 8 9 11 11 12 15 18 18 18 23 35 46 46 38 36 34 28 22 21 29 42 51 54 53 49 46 50 45 35 26 21 25 34 41 46 50 53 53 52 59 66 68 71 78 86 86 80 69 56 45 32 23 27 30 27 18 12 12 16 22 26 25 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 3 4 4 4 5 5 5 6 6 6 6 6 6 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 16 12 9 7 5 2 0 0 0 0 0 1 8 19 23 20 15 6 0 0 0 1 7 17 35 63 79 78 65 58 53 40 20 10 4 2 2 2 1 0 0 2 5 9 14 22 31 40 48 50 50 50 48 46 44 43 48 59 74 90 100 102 99 95 92 91 91 87 79 70 66 67 66 65 64 65 66 67 69 72 76 80 82 80 77 78 81 83 82 76 66 52 42 38 39 40 46 50 54 60 68 75 81 86 90 nan nan nan nan nan nan nan nan nan nan nan nan nan
16 18 21 21 21 20 18 16 14 12 12 13 16 18 20 19 17 15 15 14 12 10 9 11 13 13 13 13 16 20 23 24 24 23 22 23 21 18 16 14 12 14 24 34 36 38 30 18 9 4 5 8 11 11 12 15 19 20 18 17 22 31 37 35 34 34 32 27 23 30 43 52 50 41 34 35 42 40 32 26 25 29 33 34 35 40 46 49 52 60 74 78 83 82 77 84 85 75 60 48 42 40 46 48 40 26 17 16 23 32 32 21 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 3 3 4 5 5 5 5 6 6 7 6 6 6 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 15 12 9 8 6 3 0 0 0 0 0 1 16 35 41 31 16 7 0 0 0 3 15 39 64 79 82 75 63 57 55 45 26 12 5 2 2 3 2 1 0 0 1 2 5 10 19 24 35 39 41 43 43 41 39 38 37 39 48 62 82 93 95 91 85 84 89 90 84 76 71 67 63 57 50 48 51 54 55 56 59 64 69 67 63 62 63 64 65 62 55 46 39 33 31 28 31 34 38 44 52 60 66 71 77 nan nan nan nan nan nan nan nan nan nan nan nan nan
15 17 20 21 20 18 16 13 12 11 12 14 17 20 22 22 19 17 16 16 14 12 11 12 12 12 12 12 14 17 22 25 26 25 23 23 22 20 17 14 11 9 11 20 30 42 35 20 7 3 6 11 14 14 15 17 21 22 20 17 14 17 24 28 30 32 35 34 33 36 44 49 41 24 13 17 27 32 32 28 26 29 31 30 29 32 41 50 57 67 80 88 91 87 81 87 84 74 63 55 52 55 60 60 51 36 24 20 24 31 27 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 4 3 3 4 4 5 5 5 5 6 8 8 7 6 6 6 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 17 15 10 9 7 3 0 0 0 0 0 2 20 44 56 44 20 6 1 0 0 10 37 69 85 84 75 63 55 55 56 45 23 13 4 0 0 1 2 3 3 1 0 0 1 3 10 16 21 26 31 34 36 34 33 34 34 34 35 41 56 72 81 79 75 74 80 86 86 81 77 71 60 47 38 34 34 35 38 40 42 47 52 54 54 53 53 54 52 52 45 40 34 31 30 25 21 22 24 28 34 42 49 53 58 nan nan nan nan nan nan nan nan nan nan nan nan nan
15 17 19 19 18 15 12 10 10 10 10 14 19 22 24 23 21 19 18 17 14 12 11 12 13 14 16 16 15 16 20 23 26 25 24 24 23 21 19 16 12 10 10 12 20 34 38 25 12 8 13 18 20 20 19 20 22 24 23 20 15 13 17 20 22 26 32 38 40 37 38 45 40 21 10 10 15 21 24 25 25 28 31 30 27 31 42 55 65 72 78 85 89 90 89 85 81 76 68 63 64 68 70 66 57 45 33 26 28 30 24 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 8 5 3 3 4 4 5 6 6 6 8 10 12 10 8 7 6 7 7 8 6 4 2 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 5 16 26 22 13 8 6 2 0 0 0 0 0 3 16 38 54 48 24 8 2 0 3 23 57 78 79 68 56 45 40 46 48 35 22 12 3 0 0 0 2 4 4 3 1 0 0 1 4 7 14 19 23 27 29 27 25 28 31 32 33 35 39 48 58 62 60 61 66 72 72 70 66 57 48 41 34 28 25 25 30 30 30 33 41 48 50 53 55 56 56 55 50 41 34 30 26 19 14 13 14 14 19 24 30 34 38 38 nan nan nan nan nan nan nan nan nan nan nan nan
14 16 16 16 14 11 9 9 10 12 13 16 20 22 24 24 23 22 21 20 17 15 16 17 19 21 21 21 19 17 17 20 23 25 25 25 24 22 20 18 17 14 12 11 10 23 37 34 24 20 23 26 27 26 24 24 24 25 24 22 18 12 13 16 16 19 26 34 36 34 35 41 45 31 13 8 10 14 17 20 24 29 32 31 28 32 43 57 66 70 73 74 75 76 77 76 81 84 65 56 61 70 74 69 60 51 44 34 29 27 24 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 6 3 3 3 5 6 7 8 8 10 12 14 13 11 9 8 7 8 8 8 7 6 4 2 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 1 2 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 7 22 32 25 13 7 4 1 0 0 0 0 0 1 9 26 43 46 38 23 15 14 25 46 65 67 55 43 38 35 33 38 36 28 19 10 3 0 0 1 2 4 4 4 3 2 1 2 3 4 9 16 20 22 22 19 19 21 24 27 30 31 34 37 43 49 50 48 52 51 49 50 49 44 40 35 30 22 19 19 24 25 25 28 36 46 53 58 61 62 61 58 52 44 36 28 21 14 9 9 10 10 10 9 12 16 20 22 nan nan nan nan nan nan nan nan nan nan nan nan
12 13 13 12 11 10 10 12 16 18 18 18 20 23 24 24 24 22 22 22 22 21 21 22 24 25 25 24 21 18 16 17 20 23 24 25 24 22 20 19 19 16 12 9 7 11 25 32 31 29 29 31 31 30 28 26 25 25 25 23 18 11 8 10 13 15 19 26 31 32 35 41 44 32 10 5 6 6 11 18 25 30 32 32 32 36 44 53 57 61 62 60 56 54 61 74 81 80 57 49 54 65 70 66 59 55 48 32 23 23 22 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 10 8 4 3 3 4 7 9 10 10 12 13 14 15 13 13 12 9 8 7 7 7 7 6 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 2 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 30 35 23 11 6 2 0 0 0 0 1 0 0 3 13 25 34 38 38 39 47 59 65 60 46 33 30 34 36 36 34 30 23 16 9 4 1 1 2 3 4 5 5 5 4 4 4 4 4 6 10 14 16 15 14 13 13 14 16 19 24 27 30 35 41 45 46 48 47 46 44 42 40 36 32 26 18 14 14 15 19 23 27 33 40 46 52 57 60 59 54 49 45 38 28 19 12 6 6 8 10 10 7 3 4 6 10 nan nan nan nan nan nan nan nan nan nan nan nan
10 10 10 10 11 11 13 17 22 24 23 21 22 24 25 25 23 20 19 21 23 24 24 24 26 28 29 28 25 21 18 16 17 19 22 24 22 20 18 17 18 18 14 9 7 7 14 24 29 31 33 33 32 31 30 28 26 25 24 22 15 8 4 6 10 12 16 23 29 33 33 34 30 18 6 3 3 0 6 13 22 29 32 32 34 39 42 44 47 48 49 46 43 45 58 71 75 71 63 62 68 72 64 56 51 50 44 27 18 16 14 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 10 8 5 3 3 4 6 10 12 12 12 14 14 14 14 15 15 11 9 7 6 6 6 6 6 5 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 18 33 30 16 7 4 1 0 0 2 5 5 2 0 0 3 8 14 20 28 42 58 65 58 41 28 26 30 34 35 33 29 23 17 11 7 4 2 3 3 4 4 5 5 5 5 5 5 4 4 5 6 8 9 8 8 8 8 7 7 8 10 16 21 25 31 37 43 47 48 47 45 43 41 37 32 26 19 13 12 11 12 14 17 19 24 31 37 43 48 49 49 49 46 39 25 17 12 7 6 7 9 10 10 6 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan
9 9 9 10 11 12 14 17 22 22 21 21 22 23 24 23 21 18 18 20 23 25 26 27 29 31 32 31 29 26 22 20 19 18 19 21 21 19 18 17 17 18 18 14 12 12 14 21 27 31 33 33 32 31 30 29 28 25 22 18 11 6 3 4 8 11 16 26 35 34 28 24 16 8 2 1 2 4 7 13 16 24 28 31 35 39 41 40 39 38 37 36 35 40 52 65 72 72 71 72 70 61 47 39 34 32 26 18 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 3 6 8 9 8 6 4 4 4 7 10 12 13 13 13 14 14 15 15 15 13 12 9 7 6 6 6 6 6 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 19 26 21 8 5 3 1 0 3 11 16 12 4 1 0 0 1 2 4 11 24 38 43 33 21 18 19 23 26 26 23 19 14 10 7 5 4 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 5 4 3 2 2 2 2 5 9 14 19 26 34 41 45 45 44 43 40 38 33 26 18 11 8 5 4 4 6 6 8 12 18 24 29 34 36 38 38 32 21 15 12 10 8 7 8 9 9 8 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan
10 11 11 12 12 12 13 14 17 18 19 21 22 22 21 20 18 17 18 21 24 25 26 27 29 30 31 31 31 30 28 26 24 22 20 20 20 20 20 21 21 21 21 20 19 19 21 24 28 33 34 32 30 30 31 31 28 25 20 15 7 4 2 4 8 12 21 33 40 34 23 18 12 5 1 0 2 6 9 11 12 15 18 24 33 40 43 42 38 34 33 34 34 40 52 62 65 60 54 48 42 33 24 21 15 10 8 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 1 2 3 5 8 9 8 7 6 5 6 8 10 11 12 13 13 13 14 15 14 14 14 14 12 9 7 6 6 6 6 5 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 15 11 5 4 2 2 6 17 29 26 16 6 2 0 0 0 0 0 2 10 19 22 16 10 8 7 10 13 12 10 9 7 5 5 5 6 7 8 7 6 6 6 5 5 5 5 5 4 4 3 4 4 5 5 4 3 2 0 0 0 0 0 1 3 8 13 21 30 35 36 37 37 35 33 28 20 12 6 2 0 0 0 1 2 2 3 5 8 13 18 19 22 24 21 17 14 13 12 10 8 8 6 6 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan
14 15 15 16 16 15 14 14 15 17 19 21 22 22 21 19 18 17 18 19 20 21 22 23 26 27 29 30 31 32 31 30 28 27 24 21 19 18 20 23 26 26 24 22 21 23 25 27 30 34 36 33 30 29 31 32 30 26 21 13 5 3 4 6 11 17 27 38 40 31 21 17 11 5 1 0 1 5 8 10 11 11 12 20 33 42 45 44 40 37 37 39 40 46 57 59 50 40 31 24 18 12 8 6 4 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 1 2 4 3 3 3 3 2 2 2 2 3 5 7 8 7 7 7 8 8 9 9 10 12 12 12 12 13 13 13 13 14 14 13 11 8 7 6 6 6 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 8 5 3 3 3 6 16 32 36 22 10 4 1 0 0 0 0 0 0 2 7 10 9 4 2 2 4 4 4 5 6 6 5 6 7 7 7 8 7 7 7 6 5 4 4 5 5 4 4 3 3 3 2 2 3 2 0 0 0 0 0 0 0 0 2 4 9 15 20 22 22 22 22 19 14 8 4 1 0 0 0 0 0 0 0 0 0 1 4 6 7 8 10 11 11 11 11 10 8 7 6 5 4 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan
17 16 16 17 18 18 17 16 14 14 16 18 20 22 22 22 21 20 19 18 18 17 17 17 21 24 27 28 30 32 32 30 29 29 28 25 21 18 17 18 22 27 28 27 26 26 27 28 29 32 37 38 33 30 31 32 30 26 20 12 5 4 6 10 17 24 32 40 39 30 21 17 14 8 3 0 1 3 5 7 8 8 11 22 37 43 44 44 43 42 43 46 48 50 53 50 40 33 23 12 5 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 5 5 5 4 3 3 4 4 5 7 7 6 6 7 9 10 10 9 9 11 11 12 11 12 14 14 14 14 14 13 12 10 9 8 7 6 5 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 2 4 4 2 1 2 5 10 21 34 27 12 4 1 0 0 1 1 0 0 0 0 2 5 6 4 4 4 4 4 4 5 6 6 6 6 6 7 7 7 7 7 6 5 4 3 4 4 4 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 7 7 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 5 4 4 4 2 2 2 2 2 2 2 3 4 4 nan nan nan nan nan nan nan nan nan nan nan
16 14 14 14 14 14 14 14 14 14 14 15 16 18 20 21 22 22 22 22 20 18 16 15 17 21 24 26 29 32 32 30 29 29 29 28 25 20 17 14 15 20 24 28 29 29 28 28 26 28 32 36 36 31 29 30 28 25 19 10 5 5 9 14 21 28 35 41 43 37 29 24 23 19 12 3 0 0 0 1 1 4 13 26 35 37 37 40 42 44 46 48 51 52 50 45 40 37 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 4 3 3 3 3 4 5 5 6 7 6 6 7 9 10 10 9 8 9 10 11 11 12 13 14 14 14 14 12 11 11 11 10 8 6 5 5 4 2 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 5 11 23 28 10 5 2 0 0 0 2 4 3 0 0 0 3 5 6 5 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 4 3 3 3 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 nan nan nan nan nan nan nan nan nan nan nan
15 13 12 11 11 10 10 11 11 12 12 13 14 15 16 18 19 21 22 23 22 21 20 20 20 20 21 22 26 30 31 31 29 28 28 28 26 23 19 13 9 10 14 19 24 27 29 29 27 25 24 28 32 30 26 23 24 23 18 11 6 6 10 15 22 29 34 40 47 47 42 39 41 45 39 22 6 1 0 0 0 4 12 20 24 26 29 35 40 42 43 44 46 48 48 47 43 34 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 2 3 4 5 6 7 7 7 7 8 9 8 8 7 7 8 9 11 12 12 13 14 14 13 11 10 10 11 11 10 8 6 4 4 4 4 4 4 4 4 2 2 1 1 1 1 2 1 0 0 0 0 0 0 0 2 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 13 25 18 7 3 1 0 0 2 4 6 6 2 0 1 4 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan
18 16 14 12 10 10 9 10 10 10 11 12 13 14 14 15 16 18 19 18 18 19 20 21 22 23 22 21 21 24 28 30 29 28 27 26 26 24 20 14 12 9 8 11 16 22 26 30 30 26 20 18 24 27 22 15 15 18 18 12 7 6 9 13 18 25 30 33 43 49 49 47 49 54 54 41 23 10 4 2 3 2 5 8 12 18 26 35 40 41 40 38 40 44 48 49 42 27 10 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 5 5 6 7 7 7 8 7 6 8 7 6 6 8 9 10 11 12 12 13 12 10 8 9 10 11 10 9 8 6 5 4 4 4 4 4 4 4 3 2 2 2 3 3 3 2 1 0 0 0 0 0 1 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 19 27 26 14 5 1 0 0 0 2 5 8 11 4 2 3 5 6 6 5 4 5 5 5 5 5 4 3 3 3 4 4 4 4 2 2 1 1 1 1 1 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 2 4 5 4 2 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 nan nan nan nan nan nan nan nan nan nan
21 18 15 12 10 10 10 10 10 10 10 10 11 11 12 13 15 17 18 17 17 16 17 18 19 21 22 20 18 18 22 26 25 23 23 24 25 24 20 15 14 12 10 8 9 15 21 27 30 29 24 14 15 23 20 11 8 12 14 12 8 6 9 11 15 20 25 28 31 37 43 39 38 44 50 48 37 27 21 18 14 9 5 6 13 22 32 40 46 46 44 42 44 50 54 50 35 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 5 5 6 6 7 7 8 7 6 7 6 6 5 6 8 10 10 11 12 12 11 9 7 7 9 9 10 10 10 9 7 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 2 1 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 29 31 22 10 3 0 0 0 0 1 4 8 9 6 4 5 6 6 5 4 4 4 5 5 5 4 3 2 2 2 3 4 5 3 2 1 0 0 0 0 0 0 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 7 6 5 4 2 2 1 0 0 0 0 2 5 6 5 2 nan nan nan nan nan nan nan nan nan nan
22 19 16 12 10 10 11 12 12 11 10 10 10 10 11 13 15 18 18 18 17 17 17 18 20 20 20 19 19 17 17 19 20 16 16 20 23 23 21 17 15 14 12 10 8 9 14 21 27 30 27 20 12 20 22 13 6 7 9 10 8 7 8 12 14 17 20 24 26 29 31 26 21 28 37 40 38 35 38 43 44 37 29 26 30 36 42 47 50 53 56 59 62 66 59 40 21 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 4 13 20 17 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 7 8 9 8 7 7 6 5 4 5 7 9 10 11 11 11 10 9 8 7 7 8 8 10 11 11 9 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 2 1 0 0 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 18 22 16 10 4 1 0 0 0 0 0 4 6 6 5 4 5 5 4 3 3 4 5 5 5 5 4 2 0 0 1 2 4 4 2 1 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 1 2 4 5 6 6 5 5 4 2 1 0 0 0 3 8 10 10 9 nan nan nan nan nan nan nan nan nan nan
19 18 15 12 10 10 11 12 12 11 10 10 10 10 11 14 16 16 16 16 15 14 15 16 18 20 18 18 18 19 18 18 18 14 11 13 18 22 22 19 16 15 14 12 10 8 9 15 22 28 30 26 18 18 24 18 8 6 7 7 7 8 9 12 14 16 18 22 25 26 25 22 20 21 26 28 26 27 34 45 54 55 53 52 50 48 48 46 48 56 66 72 70 61 46 18 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 0 0 1 8 14 15 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 10 10 9 9 7 5 5 5 5 7 9 10 11 11 10 9 9 8 7 7 6 7 9 11 12 10 6 4 4 4 4 4 5 5 4 4 4 4 5 5 4 2 1 0 0 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 15 12 8 6 3 1 1 1 1 0 1 4 5 4 4 3 3 2 2 2 3 4 5 5 5 5 3 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 3 6 7 7 6 nan nan nan nan nan nan nan nan nan
15 14 13 11 10 10 10 10 10 9 9 9 10 10 12 14 14 13 12 11 11 11 12 13 15 17 18 18 17 18 20 21 21 18 14 11 13 19 24 23 20 17 15 14 12 10 8 9 15 23 29 29 24 19 22 24 14 7 6 6 8 9 11 12 14 15 17 22 26 26 26 24 24 24 26 26 21 18 20 27 34 44 55 62 59 52 48 47 49 54 64 69 62 48 27 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 1 7 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 6 9 10 10 9 7 6 6 6 6 7 9 10 11 11 9 8 8 8 8 6 5 6 8 11 12 11 8 6 5 4 4 5 5 5 5 4 4 4 4 5 4 2 1 0 0 1 2 3 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 8 6 3 2 1 1 3 4 3 1 2 4 5 4 3 3 2 1 0 1 3 4 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 nan nan nan nan nan nan nan nan nan
13 12 11 10 9 9 9 9 9 8 9 9 10 10 11 12 12 11 10 9 9 10 11 13 14 16 18 18 18 18 18 20 22 22 19 14 12 16 24 28 25 20 17 15 14 12 10 7 8 16 24 29 28 23 22 24 21 11 7 6 8 11 12 13 13 14 15 20 26 28 28 26 28 32 34 31 25 18 14 14 14 23 40 54 56 51 44 38 37 44 54 63 59 40 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 5 7 8 10 9 8 8 8 8 8 8 9 10 10 10 8 8 8 8 6 5 4 5 8 10 12 12 11 8 6 5 5 5 5 5 5 4 4 4 4 5 4 3 1 1 1 1 2 2 3 3 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 4 5 4 2 2 3 4 4 3 3 3 1 0 1 3 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 4 2 2 2 2 2 1 0 1 1 0 0 0 0 nan nan nan nan nan nan nan nan nan
12 12 12 11 10 10 10 10 9 9 9 9 9 10 10 11 12 11 9 9 9 11 13 16 17 18 19 19 19 19 18 18 18 18 19 17 15 16 22 29 31 26 20 17 14 13 11 8 7 10 18 26 30 26 22 24 24 18 10 7 7 11 14 14 12 11 12 17 22 27 28 26 28 34 39 37 30 22 15 12 10 13 23 38 47 46 39 30 29 38 54 65 59 34 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 6 7 10 10 9 9 8 8 8 8 9 10 10 10 8 7 7 6 5 4 4 5 7 9 11 12 12 10 7 6 5 6 6 5 5 4 4 4 4 5 5 4 3 2 2 2 2 2 3 3 3 3 2 2 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 3 1 4 5 5 2 0 0 0 0 0 0 2 4 4 2 1 2 3 4 4 4 4 2 1 1 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 10 10 10 8 7 8 8 8 6 6 6 4 2 2 1 nan nan nan nan nan nan nan nan nan
16 17 16 16 14 13 12 11 10 10 9 9 9 9 9 11 13 13 12 11 12 14 17 20 21 21 21 20 19 19 19 18 18 18 18 19 19 17 20 26 31 31 26 20 15 14 13 10 8 7 12 20 28 29 24 22 25 23 16 9 8 11 15 15 14 11 10 13 19 23 26 25 23 27 36 39 36 27 18 13 10 10 13 27 40 46 46 44 43 49 60 68 59 28 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 4 6 8 10 10 9 9 9 8 8 8 9 10 10 10 9 7 6 5 4 4 4 5 6 7 8 11 12 10 8 7 6 6 6 5 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 3 2 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 8 10 10 9 6 2 0 0 0 0 0 1 3 4 3 2 0 1 2 3 4 4 4 3 1 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 11 11 10 10 10 10 11 12 14 16 15 14 13 10 7 6 nan nan nan nan nan nan nan nan
18 18 20 21 21 19 17 14 12 11 11 11 11 10 10 11 13 14 14 14 15 17 19 21 21 21 21 20 20 19 19 18 17 18 20 22 22 19 18 21 27 32 32 28 17 14 13 12 9 7 8 14 22 29 28 22 24 26 22 14 9 11 15 16 16 15 12 13 16 20 22 22 21 20 27 36 38 34 26 19 15 14 14 24 37 47 53 57 55 53 56 60 52 24 13 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 9 8 8 8 9 10 10 9 9 8 6 4 4 4 4 4 5 6 6 9 10 9 8 7 6 6 6 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 4 4 4 3 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 9 7 3 1 0 0 0 0 3 5 5 5 4 2 1 2 2 4 4 4 4 2 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 6 9 10 11 10 10 10 11 12 14 16 17 18 18 17 14 12 nan nan nan nan nan nan nan nan
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