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