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 6 6 6 6 5 3 3 3 3 3 4 5 4 4 4 4 5 5 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 3 3 3 3 3 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 6 6 6 5 5 4 5 5 4 6 8 7 7 8 8 7 6 6 7 7 6 6 6 6 5 4 4 1 2 3 6 5 7 10 12 -5 -6 1 3 5 6 3 8 11 8 6 5 4 5 8 9 4 6 8 2 -1 7 6 -2 -0 7 12 7 1 2 10 13 6 -3 -2 2 3 6 5 -0 3 4 -2 -6 -4 -1 1 7 12 7 -1 1 4 5 3 1 3 6 7 5 6 19 38 35 16 9 6 3 2 2 2 2 2 3 3 3 2 2 3 3 4 5 4 5 5 6 7 9 13 17 18 17 14 12 8 5 3 3 4 5 4 4 4 4 3 3 3 2 2 3 2 4 7 6 5 5 5 5 5 4 4 5 7 8 7 5 5 5 5 5 5 5 8 8 3 4 4 4 4 3 3 4 4 4 3 3 2 3 3 4 4 4 4 4 3 3 2 2 2 3 4 4 3 3 3 4 5 7 8 9 8 6 4 3 3 3 4 6 6 5 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 3 3 4 5 9 18 26 19 11 9 10 5 -3 -4 -8 -7 -11 -5 1 0 3 6 3 0 2 2 -2 -10 -14 -9 -6 -6 -4 0 5 7 7 7 8 9 12 17 19 18 16 15 14 11 10 10 12 13 13 13 13 10 9 12 16 15 11 9 8 7 6 6 7 7 7 7 7 7 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 6 6 6 5 4 4 4 4 4 4 5 5 4 4 4 5 5 6 7 6 5 5 4 3 3 3 4 4 3 3 3 2 2 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 3 3 3 3 3 2 2 3 2 3 3 3 3 4 3 4 4 3 4 4 4 4 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 8 7 6 6 6 5 5 5 5 4 6 7 8 7 8 9 8 6 5 6 7 6 5 5 5 5 4 2 0 1 6 9 7 10 18 15 -2 -1 2 7 11 8 3 5 6 7 9 8 4 6 16 14 8 7 5 2 2 10 8 1 -1 6 12 8 3 -0 3 10 10 2 -2 2 10 12 7 4 8 9 3 -1 -3 -5 0 11 15 6 -1 -1 -0 3 5 7 9 10 10 11 18 33 38 24 9 6 5 3 3 2 2 2 2 3 3 3 2 2 3 3 4 5 5 5 5 6 7 8 12 15 16 16 14 13 10 8 5 5 5 4 4 4 4 4 3 3 2 2 1 1 2 4 7 6 5 5 5 5 3 2 3 5 7 6 5 5 5 5 5 5 5 5 6 4 1 4 4 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 5 4 3 2 2 2 3 3 4 4 4 3 3 4 5 7 8 9 9 8 5 5 4 4 4 5 6 5 4 3 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 9 17 22 21 17 17 13 12 11 8 3 2 0 1 2 6 7 5 6 9 9 6 3 -1 -3 -1 -2 -2 -0 4 6 7 7 7 7 7 9 11 12 12 10 9 8 9 11 13 14 14 14 13 11 10 12 11 8 7 6 6 5 6 7 7 7 7 7 7 6 6 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 5 4 4 5 5 5 5 4 4 3 3 2 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 3 3 2 2 3 2 2 2 3 2 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 4 4 4 4 4 5 5 4 4 4 5 6 7 7 8 7 6 6 6 5 5 5 4 4 5 7 8 7 7 8 9 7 5 5 6 6 5 5 5 4 2 -0 -1 5 14 10 6 10 19 12 2 2 2 8 13 9 4 3 3 3 6 8 3 6 15 14 8 6 6 3 6 11 9 6 1 3 6 6 7 8 8 6 7 7 6 7 12 10 5 8 12 13 8 4 -1 -8 -4 10 11 6 2 -0 0 4 7 9 10 9 11 20 33 38 25 11 6 5 4 3 2 2 2 2 2 2 3 3 2 2 3 3 4 5 5 5 5 6 7 8 11 13 14 14 14 13 11 9 8 7 6 5 4 3 4 4 3 2 2 1 1 -2 -4 2 7 6 6 5 4 4 3 4 5 5 6 5 5 5 5 5 5 6 6 5 5 -1 -3 1 3 2 0 2 3 4 4 3 4 4 3 3 3 3 4 5 5 4 4 3 2 2 2 3 4 4 4 4 4 5 6 6 8 9 10 9 7 6 5 4 4 5 6 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 6 13 18 19 16 11 11 9 6 5 6 5 4 4 4 4 7 8 9 9 6 7 8 6 6 6 5 4 5 6 7 7 7 7 6 6 6 7 7 6 6 6 8 10 12 12 13 13 12 12 11 11 8 6 5 5 5 5 6 6 6 6 7 8 8 5 5 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 4 4 5 6 5 4 4 4 4 4 4 5 4 4 4 5 5 6 7 9 8 6 6 5 6 6 6 6 6 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 4 5 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 3 4 4 5 6 7 7 7 6 6 6 6 6 5 4 4 5 6 7 7 7 8 8 7 6 5 5 5 5 4 4 4 2 -3 -5 0 12 9 3 5 9 6 4 3 6 4 8 9 4 -0 2 3 5 6 2 4 8 9 5 7 5 3 5 6 5 7 6 1 -0 2 7 12 15 15 11 8 9 13 14 4 -4 3 12 16 11 4 -3 -7 -4 4 7 6 3 2 3 5 7 8 9 12 22 35 40 29 13 6 5 4 4 3 3 2 2 2 2 2 2 2 3 2 3 4 5 5 5 5 5 5 7 8 10 12 13 12 12 12 11 10 10 8 7 5 4 4 3 3 3 3 3 2 1 -2 -4 3 7 6 5 4 4 4 5 6 6 6 5 5 5 5 5 5 6 6 6 5 5 1 -4 -2 1 1 1 2 3 4 4 4 4 5 4 3 3 3 5 6 5 5 4 3 3 3 2 3 4 4 4 4 5 5 6 7 8 9 10 9 8 7 6 5 5 6 6 5 3 3 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 3 3 2 3 3 4 7 12 13 9 7 8 6 3 4 5 5 4 4 3 4 7 7 4 2 5 6 7 9 10 8 6 6 7 7 7 7 7 7 6 5 5 5 5 5 6 8 9 9 10 10 9 9 10 10 9 8 7 6 5 4 5 5 5 5 5 7 9 9 6 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 2 3 4 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 6 8 9 8 7 6 6 5 6 6 6 6 6 5 5 4 3 2 2 2 2 2 2 3 2 3 3 3 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 3 4 4 4 4 3 3 4 4 5 6 7 7 6 6 6 6 6 5 5 4 5 6 6 7 7 7 8 8 7 6 6 5 5 4 3 3 2 -2 -8 -6 4 8 5 3 2 1 7 8 6 1 5 11 5 -1 2 6 7 3 1 -0 2 2 1 4 2 1 4 5 1 5 6 3 3 4 6 7 10 18 19 11 10 10 9 7 -0 2 8 10 9 5 2 5 4 2 5 6 5 4 4 4 5 6 9 22 37 40 30 15 6 4 5 4 4 3 2 2 3 3 3 2 2 2 2 3 3 4 5 5 5 4 5 5 6 8 9 10 11 11 10 10 10 10 10 9 8 6 5 4 3 3 3 3 3 3 2 2 3 4 7 7 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 3 0 -2 -1 5 7 4 3 4 4 5 6 6 5 3 2 3 5 6 5 5 4 4 3 3 3 3 4 4 5 5 4 5 6 8 9 9 9 9 9 7 7 6 6 6 6 5 3 2 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 2 1 -1 -2 -1 -2 -2 -1 3 6 7 6 6 6 5 4 4 5 4 4 2 3 7 8 4 1 6 10 11 8 7 6 6 6 6 7 7 7 7 7 6 5 5 4 5 5 6 7 8 8 8 7 6 6 6 7 8 9 10 8 5 3 3 5 5 4 4 7 9 10 8 4 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 3 2 2 2 2 2 2 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 6 8 8 8 7 6 5 4 4 4 4 4 5 5 5 4 3 2 2 1 2 2 1 1 2 3 2 2 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 4 4 5 6 7 7 7 7 7 7 7 6 5 4 4 4 3 2 -0 -5 -4 4 7 5 5 3 1 10 12 6 3 2 7 6 2 3 9 9 4 3 0 -2 -2 2 3 1 3 12 12 4 2 3 5 6 5 3 2 3 9 10 9 9 4 2 9 13 9 6 6 7 8 10 11 7 7 7 6 7 6 4 3 4 6 11 26 35 27 14 6 4 4 4 4 4 3 2 2 3 3 3 3 2 3 3 3 4 4 5 5 4 4 4 5 5 7 9 9 9 9 8 8 9 9 9 9 9 8 6 4 3 4 3 4 4 4 3 3 4 5 6 7 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 -1 -2 4 8 5 3 4 5 7 9 7 5 3 3 3 5 5 5 4 4 4 3 3 3 3 4 5 5 5 5 6 6 7 9 9 9 9 8 8 8 7 7 7 7 5 3 2 3 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 2 1 -2 -4 -6 -6 -6 -7 -4 -1 2 4 4 4 5 6 6 5 5 4 5 5 4 6 10 10 8 9 11 9 7 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 5 6 7 8 7 7 6 4 4 4 4 5 8 10 10 6 2 2 3 4 3 3 6 9 10 6 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 3 2 2 2 2 2 1 1 2 2 4 5 4 3 3 2 2 2 3 3 3 3 4 5 6 7 8 7 5 4 2 2 2 2 4 4 4 4 3 3 2 2 2 2 2 2 2 3 2 2 3 3 3 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 6 7 6 6 5 5 5 5 4 4 4 4 4 5 4 4 5 5 6 7 7 6 6 6 5 5 5 4 5 5 6 7 7 7 7 7 7 7 6 5 5 4 4 4 2 -0 1 6 8 6 6 6 5 9 7 5 6 4 4 6 7 5 7 5 1 5 6 1 -0 5 4 -0 4 14 10 7 4 4 4 4 3 -0 2 4 3 -0 4 5 6 4 2 7 7 6 4 -0 7 12 11 8 7 7 5 5 6 5 4 5 6 14 26 25 13 6 4 4 5 5 4 4 3 3 3 3 3 3 3 2 3 3 3 4 5 5 4 4 4 4 4 5 6 7 8 8 8 7 7 7 8 9 10 9 8 6 5 4 4 4 4 4 4 3 2 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 2 -1 -0 3 4 4 4 6 9 9 7 5 3 3 4 5 4 3 4 4 4 4 4 3 3 4 5 5 5 5 6 6 7 8 8 8 7 7 8 9 9 9 8 7 5 3 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 2 2 2 0 -2 -4 -4 -2 -3 -2 0 2 3 4 4 4 4 7 6 5 6 5 6 5 7 12 13 11 6 5 4 6 6 6 6 6 6 5 4 3 2 3 4 5 4 3 4 4 6 7 7 7 7 6 4 4 3 4 4 6 7 8 6 2 1 3 3 3 2 3 6 6 5 4 5 4 4 4 4 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 3 4 4 3 3 2 2 2 2 2 1 1 1 3 4 4 3 3 2 2 1 2 3 4 4 3 3 3 5 6 6 6 5 3 2 1 1 1 2 3 3 3 3 3 3 3 2 2 2 2 2 3 2 2 3 3 3 3 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 5 5 4 3 1 4 8 9 10 9 7 8 6 3 4 5 2 7 10 7 6 -0 -2 3 6 5 4 6 2 -1 1 7 4 6 6 4 4 3 1 1 6 10 7 -0 -1 1 7 6 1 -0 3 7 4 -4 -1 5 7 6 9 10 6 3 3 4 5 6 9 21 28 19 8 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 7 7 7 7 7 7 7 8 9 9 9 7 6 5 5 5 5 5 5 4 4 2 4 8 8 7 6 6 6 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 3 1 1 3 4 5 8 10 10 7 4 3 4 5 5 4 3 3 4 4 4 5 4 4 4 4 5 6 6 6 6 7 7 7 7 6 6 7 8 10 11 10 8 5 3 2 3 4 4 4 5 5 6 6 5 5 5 5 4 4 4 3 3 2 2 2 2 1 3 5 5 4 3 2 2 2 2 3 3 2 2 4 4 3 5 5 5 7 7 6 4 6 9 8 6 4 4 3 4 5 5 5 6 5 5 3 0 -2 -1 1 3 3 3 4 4 5 6 7 7 7 6 5 5 4 4 4 5 5 5 4 3 2 2 2 2 2 3 4 4 4 5 4 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 4 3 2 2 2 3 3 2 2 1 1 1 2 3 3 3 3 2 1 1 2 3 4 3 2 2 3 3 5 6 6 5 4 3 2 1 1 2 2 3 3 3 2 2 3 3 2 2 2 2 2 2 2 3 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 5 5 6 6 6 6 7 8 7 6 7 8 7 7 7 7 7 6 5 5 5 5 5 6 7 7 7 7 7 7 6 7 6 6 6 5 5 3 1 2 5 9 12 10 8 10 8 8 11 7 2 3 7 9 8 2 -0 1 2 6 4 6 5 4 5 3 2 4 4 3 5 2 1 6 9 10 10 4 -4 -2 3 4 4 6 10 12 6 2 -1 2 1 5 9 9 6 4 3 4 6 8 16 27 26 13 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 5 5 6 6 7 7 8 7 8 8 8 8 8 7 6 5 5 5 5 6 5 5 4 4 6 14 17 13 10 8 6 6 6 5 5 5 6 7 6 6 5 5 6 6 5 5 5 6 6 6 5 3 1 3 4 6 8 11 9 6 3 3 4 5 5 4 3 3 4 4 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 6 7 9 11 11 8 5 3 1 1 2 4 4 5 5 6 6 6 6 5 5 4 5 4 4 3 2 2 2 3 4 3 6 7 6 6 4 2 2 3 3 3 2 2 3 4 5 5 5 6 10 10 7 5 4 5 4 4 4 3 3 3 4 4 4 5 4 4 5 5 1 -1 -1 2 3 3 3 4 5 6 6 7 7 7 6 6 5 5 5 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 1 2 3 3 3 3 3 3 3 3 3 2 1 0 1 2 2 2 2 1 1 1 2 2 4 3 3 3 2 2 3 4 6 6 6 5 4 3 2 2 2 2 2 3 2 2 3 3 2 2 2 2 2 2 1 2 2 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 3 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 5 5 3 3 4 4 5 5 4 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 6 6 6 6 6 7 7 8 9 9 9 8 8 8 8 7 7 7 6 6 6 5 5 6 6 7 7 7 7 7 7 6 6 6 6 6 5 4 3 2 2 5 7 8 7 6 6 4 8 11 8 5 4 3 4 7 7 5 4 5 7 5 6 10 10 8 4 4 2 1 3 7 2 3 9 7 6 7 6 -2 2 5 6 7 5 8 10 3 5 2 5 5 9 13 9 6 3 1 4 7 9 19 26 18 8 5 5 5 4 4 4 4 4 4 3 3 3 3 4 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 6 6 6 6 6 6 6 5 4 4 6 14 19 20 19 16 12 10 8 8 7 7 7 7 6 6 6 5 5 6 6 6 7 7 7 6 6 5 4 5 5 6 7 8 6 4 2 3 4 5 5 5 4 4 4 5 5 5 5 4 4 5 5 4 5 5 6 5 5 5 5 5 5 5 6 8 10 11 10 7 3 1 -0 1 2 3 4 5 6 6 7 7 5 5 5 4 4 4 3 2 1 1 6 10 7 5 5 5 5 4 3 2 3 4 4 4 5 6 7 8 9 8 8 11 14 13 8 6 5 4 3 3 3 3 3 4 3 3 4 4 4 6 10 10 9 7 4 3 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 3 2 1 2 3 3 4 3 3 2 3 3 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 1 2 2 2 2 3 3 3 4 4 3 3 1 2 2 2 1 2 2 1 1 1 1 2 3 3 3 3 2 2 2 2 3 5 6 7 6 6 4 3 3 2 2 2 2 3 3 3 3 2 2 2 1 1 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 3 3 3 3 4 4 4 3 4 4 4 3 4 4 5 4 4 3 4 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 11 11 10 9 9 9 7 7 7 7 7 7 6 5 5 6 6 7 7 8 8 7 6 6 6 6 5 5 5 4 2 2 4 7 7 5 3 1 -0 3 6 6 4 3 1 1 6 11 9 6 7 5 5 8 10 8 5 6 8 4 1 3 6 2 5 8 4 3 5 6 3 5 6 6 4 4 7 2 -3 0 4 7 10 13 13 9 6 3 3 5 5 8 18 22 13 6 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 5 5 5 5 5 4 4 3 4 5 5 5 5 6 6 6 7 8 8 8 8 8 8 7 7 6 6 6 6 6 5 5 4 3 4 5 11 18 20 20 20 18 16 14 14 14 13 10 7 6 5 5 5 6 7 7 8 9 9 9 10 11 11 7 5 5 5 4 3 1 1 3 4 4 5 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 3 3 3 5 5 5 5 6 8 9 10 9 6 3 0 -2 -2 1 3 5 6 7 7 7 5 4 3 3 2 2 1 0 -1 -0 4 12 11 6 5 5 4 4 4 4 4 6 7 9 10 12 14 13 11 10 9 9 11 13 11 9 7 5 4 2 3 3 4 4 4 3 4 4 4 6 10 13 12 10 6 4 4 4 4 5 5 5 6 6 6 6 6 7 7 6 6 6 5 4 5 4 3 2 2 3 3 4 3 3 3 2 2 3 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 1 2 2 2 1 2 2 3 5 5 4 3 2 3 3 3 3 2 2 1 1 1 1 1 1 2 3 3 3 3 2 2 2 3 5 6 6 7 6 5 4 3 3 2 3 3 3 3 3 2 2 2 2 1 1 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 8 10 13 13 13 11 10 10 9 8 7 7 7 8 7 6 6 6 6 6 6 7 8 8 7 6 6 6 6 5 5 4 3 3 4 6 7 8 8 2 -1 1 3 5 7 4 1 -1 2 7 11 9 5 5 3 6 9 10 7 2 5 10 8 2 3 4 3 5 6 2 1 4 6 5 4 6 5 1 4 3 3 5 3 1 4 9 9 8 7 6 4 7 7 6 12 20 17 8 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 4 4 3 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 4 4 3 2 2 3 4 7 10 13 16 17 18 18 19 19 17 16 12 8 7 8 8 9 9 11 13 14 14 15 17 17 13 7 6 5 4 2 1 0 1 2 3 3 4 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 1 -5 -5 1 4 5 5 5 6 8 9 9 9 8 5 1 -2 -3 -2 1 5 7 6 5 3 1 1 0 -1 -3 -3 -3 -3 -2 3 9 10 6 5 5 4 4 5 5 6 7 9 12 14 14 13 12 10 8 7 7 8 9 11 10 9 7 5 3 3 3 4 4 5 5 5 4 4 5 7 8 6 6 5 4 5 5 4 4 4 5 5 6 6 6 6 6 6 7 7 7 6 5 5 5 4 3 2 3 3 3 4 4 3 3 2 1 1 2 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 2 1 1 0 1 3 5 5 4 4 3 4 4 4 4 3 3 2 1 1 1 0 1 2 3 4 4 3 3 3 2 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 5 5 6 6 6 6 6 7 7 7 7 6 6 6 7 7 9 12 14 15 14 13 11 11 10 9 8 8 8 8 7 6 6 6 5 5 6 8 9 8 6 6 7 7 6 5 4 4 3 3 7 10 6 2 5 1 2 7 7 -2 2 8 8 2 1 2 8 10 8 4 3 6 10 13 10 4 2 4 5 3 3 5 6 4 5 3 1 2 1 1 1 7 4 2 5 1 7 9 5 -3 -3 5 7 6 8 7 5 5 6 11 20 22 13 5 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 7 6 6 5 5 5 6 6 6 6 6 6 5 5 3 3 3 2 2 2 2 1 2 3 3 5 8 10 12 13 13 14 16 16 16 15 14 15 17 18 18 17 17 18 19 20 18 10 6 7 6 5 4 2 1 1 2 2 3 4 5 6 6 6 6 5 6 6 6 6 6 5 4 3 3 4 5 4 -5 -13 -10 1 4 4 4 5 6 7 9 10 10 10 9 5 -1 -5 -5 -2 3 5 4 0 -3 -3 -2 -2 -6 -7 -6 -5 -2 2 6 7 5 5 5 5 5 7 8 8 8 8 10 10 8 6 7 7 6 6 7 7 8 10 10 10 9 6 5 4 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 4 3 3 4 5 6 6 6 6 6 6 7 8 8 7 6 5 4 4 4 4 3 3 3 3 3 4 3 3 2 2 1 1 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 6 6 4 2 0 -0 0 2 4 4 4 4 4 4 4 5 4 4 4 3 3 2 1 1 1 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 2 2 2 1 1 1 1 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 6 6 6 7 8 11 14 16 16 16 15 14 12 10 9 8 9 9 8 7 6 5 5 4 5 7 8 9 8 6 6 8 7 7 5 4 3 3 3 8 12 4 -2 1 1 7 6 6 -5 1 12 11 4 -1 -3 5 12 12 7 4 7 12 15 12 8 5 2 -1 1 5 8 9 5 6 6 4 4 3 3 3 5 5 7 5 7 11 8 1 -2 2 5 6 9 11 9 6 4 6 15 23 19 9 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 2 2 3 4 5 5 5 7 10 13 17 18 18 18 17 17 15 13 12 13 13 14 13 7 6 7 7 6 5 4 3 2 2 3 3 4 5 5 3 4 5 3 1 3 6 6 7 6 4 3 3 4 8 11 6 -4 -9 -3 3 4 4 4 5 6 7 8 9 11 12 13 10 2 -6 -10 -7 -0 2 -2 -5 -5 -3 -1 -3 -3 -4 -4 0 3 3 4 5 6 6 6 8 13 14 11 9 7 5 4 5 5 5 6 6 6 6 7 8 9 10 11 10 8 6 5 4 4 4 4 4 4 5 6 6 6 6 6 8 9 9 7 5 4 3 3 3 5 6 5 6 6 6 6 7 7 8 8 7 5 4 4 4 4 3 4 4 3 3 4 4 4 4 3 2 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 7 8 7 6 4 2 1 1 2 2 3 2 3 5 5 5 5 5 5 6 5 4 3 1 1 1 2 2 3 2 2 2 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 5 4 3 3 4 4 4 4 4 5 5 6 6 6 6 7 7 7 6 6 6 6 7 9 11 14 15 16 17 18 17 14 11 10 9 9 9 8 7 6 5 4 5 6 7 8 9 8 6 7 9 8 7 5 3 2 2 4 7 9 5 3 2 6 9 2 -1 1 2 12 9 6 3 -1 3 8 8 10 10 9 10 14 14 12 10 6 4 5 6 6 7 8 7 6 7 7 7 8 6 4 7 9 7 14 17 11 1 6 9 8 6 9 11 8 6 5 6 15 21 13 6 4 3 4 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 7 6 6 5 4 4 4 3 3 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 5 7 9 11 12 10 8 7 7 8 7 7 7 8 7 6 5 6 6 7 6 5 4 3 2 3 3 4 5 6 3 -1 3 3 -4 -8 -2 5 7 7 6 5 4 4 10 17 15 8 4 2 3 4 4 4 4 5 5 6 6 8 10 13 16 13 3 -8 -13 -9 -4 -6 -7 -3 -1 1 2 2 3 3 4 5 3 4 5 5 5 6 10 16 18 14 10 8 6 4 5 5 6 6 6 6 6 7 7 9 10 11 10 9 7 6 5 5 4 4 3 3 4 5 5 5 5 6 7 10 10 8 6 4 4 3 4 4 5 6 6 7 6 5 6 7 8 8 7 5 3 2 3 3 3 4 4 4 3 4 5 5 4 4 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 7 8 8 8 6 5 4 4 2 1 1 0 1 4 5 5 4 5 6 7 7 5 4 3 2 2 2 2 2 2 2 2 3 4 3 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 4 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 5 5 4 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 9 11 13 14 15 17 19 18 15 12 10 10 9 9 8 7 6 5 4 5 7 8 9 9 9 8 9 9 8 6 5 3 2 1 3 6 7 6 8 7 11 7 6 3 11 3 7 7 12 11 4 0 2 4 9 8 5 5 10 15 14 9 4 5 9 6 1 3 8 7 5 6 6 9 8 4 4 7 7 9 16 16 13 6 9 8 6 7 8 8 7 7 7 10 18 18 8 4 3 4 4 4 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 5 5 5 4 3 3 4 4 6 8 8 3 3 7 1 -11 -14 -5 4 6 5 5 5 5 8 16 19 10 6 6 4 5 4 4 4 3 2 1 2 3 4 5 8 12 11 1 -10 -11 -7 -5 -3 -1 -0 2 4 3 4 5 6 6 6 5 6 5 5 6 5 6 12 12 8 7 6 5 5 6 7 7 7 7 6 7 7 8 9 10 10 9 8 7 7 6 5 4 4 3 3 4 4 5 5 5 6 8 9 8 6 5 4 4 4 4 6 8 8 8 7 6 6 7 8 7 7 5 3 2 2 2 2 3 4 4 4 4 4 5 5 4 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 7 7 8 8 8 7 6 3 2 1 0 1 2 4 4 4 4 5 6 7 7 5 5 4 3 3 2 3 2 2 2 3 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 3 2 2 3 3 3 3 3 3 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 3 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 5 5 5 4 3 3 4 4 5 4 4 5 5 5 6 6 6 6 6 6 6 7 8 9 11 12 13 14 15 17 18 16 13 11 10 9 8 8 7 6 5 4 6 8 9 10 9 9 9 10 9 8 6 5 3 1 1 4 7 6 5 9 11 9 5 8 9 16 9 5 9 14 14 10 1 1 4 3 -1 -1 2 8 14 14 8 -1 -3 4 4 1 1 2 4 8 6 3 6 7 3 3 6 6 10 13 10 8 8 9 5 1 4 6 6 6 6 8 15 21 15 6 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 11 10 8 12 12 2 -11 -15 -8 -2 -0 2 3 5 6 9 13 9 3 4 5 4 3 2 2 0 -1 -3 -6 -4 -2 -3 -4 2 8 6 1 0 2 2 -1 -2 -0 1 3 3 1 2 4 6 8 7 7 10 9 7 6 2 5 8 5 6 6 6 6 6 7 7 6 6 6 6 7 8 9 9 9 10 10 9 8 8 7 6 4 3 2 3 4 4 4 4 5 6 7 7 6 5 4 4 4 5 6 8 8 8 8 7 7 7 8 8 8 6 4 3 2 1 2 3 2 3 3 3 3 3 4 3 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 5 7 8 8 7 7 6 5 3 2 2 2 3 3 3 4 5 5 6 5 5 6 6 5 4 4 4 3 3 3 3 4 5 5 5 4 4 5 5 5 6 6 6 6 5 5 5 4 4 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 5 5 4 4 4 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 9 10 11 12 12 11 12 15 17 16 13 11 9 9 8 8 7 6 5 5 6 8 9 10 9 9 9 9 9 7 6 5 2 1 2 5 7 6 7 10 10 5 6 3 5 6 12 8 9 9 8 11 4 4 3 -2 -3 -3 2 7 9 11 13 5 -3 -0 3 3 0 -3 2 9 5 -1 -0 3 5 5 5 5 8 10 4 1 7 8 2 -1 1 4 5 5 6 8 19 23 13 5 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 5 5 5 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 3 2 2 3 3 3 4 5 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 5 5 7 8 8 12 13 9 1 -11 -16 -11 -10 -7 -4 1 5 5 6 5 4 4 4 4 2 0 -1 -3 -3 -3 -8 -9 -5 -4 -7 -6 1 6 7 7 7 6 2 2 4 3 5 7 6 4 3 8 11 9 7 9 9 8 8 8 6 6 5 5 6 6 6 6 6 6 6 5 5 6 7 7 8 9 9 10 11 11 11 10 9 8 5 4 3 3 3 4 4 4 4 5 6 7 7 5 4 4 4 5 5 5 6 7 7 6 6 7 9 10 9 8 6 4 3 2 2 2 2 2 2 2 1 2 2 3 4 2 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 3 3 4 6 6 7 7 8 7 6 4 4 4 3 3 4 3 4 5 5 4 4 6 6 6 6 6 6 5 4 4 4 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 8 10 11 11 11 10 10 11 14 16 15 12 10 9 8 8 8 7 6 5 5 7 9 10 10 10 9 8 8 8 7 6 4 2 1 2 6 8 8 9 9 3 0 4 2 6 1 5 3 5 2 -1 5 7 8 6 0 -2 -2 2 5 4 7 17 17 8 2 4 6 3 -2 1 7 4 -2 -2 2 6 5 5 5 7 7 1 -1 3 3 2 4 3 5 6 5 5 10 23 23 11 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 5 4 4 5 9 12 9 4 -0 -7 -9 -10 -10 -11 -9 -2 2 3 4 5 4 4 4 2 0 1 -0 -1 -1 -1 -3 -3 0 0 -2 1 5 7 6 7 9 7 8 8 10 10 12 15 12 10 12 13 11 9 5 3 5 5 6 7 7 6 5 5 6 6 6 5 5 5 4 5 5 6 6 8 9 9 10 11 12 12 11 10 9 8 6 5 4 4 3 4 4 5 4 5 7 7 6 4 4 4 4 4 5 5 5 6 6 6 6 8 10 10 9 8 8 6 5 4 3 2 2 2 1 1 2 3 3 3 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 2 3 3 3 4 4 5 6 8 9 9 8 6 4 4 4 4 4 3 4 4 4 3 4 6 6 6 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 6 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 8 11 12 11 11 11 11 12 14 15 14 11 9 9 8 8 7 6 6 5 6 8 10 11 11 10 9 8 8 7 6 6 4 1 0 3 5 7 9 9 8 1 -3 -0 3 10 15 10 3 1 1 -1 -1 10 14 12 6 6 3 1 -1 -1 1 9 15 15 6 3 4 3 2 5 5 3 4 4 4 3 3 4 4 5 7 8 4 2 -1 3 12 8 5 6 5 5 11 24 22 8 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 3 3 4 4 5 5 5 4 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 4 4 5 5 6 5 5 5 5 5 4 4 3 3 3 3 4 5 5 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 6 5 6 9 15 13 7 5 2 1 1 -1 -5 -11 -12 -8 -2 2 3 3 4 6 5 3 7 8 4 3 3 4 4 4 5 4 4 6 7 6 7 8 6 5 10 14 12 12 16 17 15 13 9 8 9 7 3 3 3 5 6 7 6 5 5 5 6 6 5 4 4 4 4 4 4 6 7 8 8 9 10 11 12 12 11 10 9 8 7 5 5 4 4 5 7 5 4 6 7 6 4 4 4 4 4 4 4 5 5 6 5 5 6 8 9 9 8 8 9 9 7 6 5 3 3 2 2 3 3 3 2 1 -0 -1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 2 3 3 3 3 3 4 5 6 8 10 11 9 5 3 3 4 4 4 3 3 4 4 5 6 6 7 8 8 8 7 7 7 6 6 7 7 7 7 6 6 6 7 6 6 7 7 6 6 6 6 6 5 4 4 4 3 3 3 3 3 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 3 3 4 4 4 6 6 6 6 6 7 7 8 11 13 14 15 16 16 15 15 14 11 9 9 8 8 7 6 5 5 6 7 10 11 11 11 10 9 7 6 5 6 6 4 0 -0 2 4 4 6 5 7 5 -1 -1 5 12 22 16 8 3 4 5 -1 10 17 15 12 14 10 2 -5 -4 -1 1 4 12 9 3 3 3 5 7 5 4 6 7 5 2 4 5 5 4 8 14 10 3 1 5 10 8 6 6 5 5 12 24 21 8 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 5 5 4 4 5 5 6 5 5 5 4 4 4 5 5 6 6 6 6 6 6 5 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 6 6 7 7 7 10 15 19 15 8 4 4 6 7 4 -1 -7 -12 -10 -4 -0 -0 0 3 5 6 9 11 8 5 5 5 6 5 6 6 6 6 6 6 7 6 4 1 7 12 10 9 11 12 11 9 6 5 6 7 4 4 4 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 9 10 10 10 11 10 9 9 7 7 7 6 5 4 6 5 4 4 6 7 6 5 4 4 4 4 4 5 6 5 5 5 6 7 7 7 6 6 8 11 11 10 9 6 5 4 4 4 4 3 2 2 -0 -2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 1 2 2 3 3 3 3 3 4 4 6 9 12 12 8 4 3 3 4 4 3 3 3 4 5 6 6 6 6 7 7 7 8 8 7 8 7 8 8 7 7 7 6 6 6 6 6 6 7 6 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 5 4 4 3 3 4 5 5 6 6 6 5 6 7 7 9 14 17 19 18 18 18 17 16 13 11 8 8 8 8 7 6 5 5 6 9 11 12 11 11 10 8 6 4 4 6 5 3 0 1 2 2 6 7 2 5 5 1 1 6 7 10 9 9 4 3 7 3 6 9 11 16 14 12 4 -2 -2 0 -0 1 7 9 6 4 2 3 6 6 4 4 9 8 4 6 8 8 6 7 11 9 4 5 6 4 3 4 5 4 6 13 24 20 9 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 4 4 4 4 3 4 4 5 6 6 6 6 5 4 4 4 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 8 13 18 21 16 10 10 8 7 6 6 6 1 -7 -8 -6 -6 -5 -4 -2 -1 1 5 7 7 6 5 6 6 7 7 7 7 7 7 6 8 9 3 4 7 6 6 7 8 7 7 6 6 6 6 5 4 3 4 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 7 8 9 9 9 9 10 10 7 8 9 9 7 5 3 3 3 3 4 6 7 6 4 4 4 4 4 5 5 5 5 5 6 7 7 6 5 5 6 9 12 12 10 9 8 7 6 6 5 5 4 4 2 -1 -1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 1 1 1 2 2 2 3 3 3 3 4 7 11 13 11 7 5 5 5 5 4 3 3 3 4 5 5 5 5 4 5 6 7 8 8 8 8 8 8 8 7 7 7 6 6 6 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 5 5 4 5 5 5 4 4 4 4 4 3 4 5 5 6 7 6 6 7 8 8 13 23 25 20 16 15 17 17 15 12 10 9 9 8 7 6 6 5 5 7 10 11 12 11 11 10 7 4 3 5 6 3 -0 1 2 1 3 10 12 4 3 4 5 3 6 5 2 5 6 2 4 9 7 5 2 4 13 8 6 4 4 5 2 2 2 4 10 10 6 3 4 6 8 6 5 10 10 6 6 9 11 8 7 9 7 5 7 5 1 1 3 5 4 5 13 24 21 9 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 4 4 5 4 3 4 4 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 6 8 12 16 20 21 19 16 9 6 6 8 9 2 -3 -3 -4 -4 -4 -5 -6 -3 2 5 8 7 5 7 7 7 7 6 9 12 12 10 12 13 9 4 4 5 6 7 8 8 7 6 6 6 6 6 5 4 4 5 5 6 5 4 4 5 5 6 5 5 5 3 4 4 4 4 4 4 4 5 6 6 7 7 8 10 12 9 8 11 11 9 7 4 3 3 2 3 4 6 7 7 5 4 4 4 4 5 5 5 5 6 8 8 7 6 4 3 6 10 10 10 10 9 9 8 7 7 8 8 7 5 3 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 2 1 1 1 1 2 2 2 3 3 3 5 7 10 11 9 8 6 6 6 5 5 4 2 2 3 4 4 3 3 3 4 5 6 6 7 8 8 8 9 8 8 8 7 7 6 6 6 6 6 6 6 5 4 3 3 4 4 4 4 5 5 6 6 5 5 4 3 3 3 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 3 4 4 5 5 7 7 6 6 8 8 11 25 36 28 13 8 11 14 13 12 11 10 10 9 8 6 6 6 6 6 8 10 10 11 10 10 10 7 3 3 4 3 -0 -1 2 2 1 6 11 14 9 4 5 6 3 6 8 5 6 5 3 7 8 8 5 1 2 5 2 2 4 6 6 3 3 1 2 5 8 7 5 5 7 9 9 9 10 10 6 4 8 11 9 8 12 9 6 7 4 1 2 3 4 4 3 10 21 24 12 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 5 5 4 4 4 5 5 5 5 6 8 14 18 19 21 19 13 10 11 10 7 6 7 6 3 2 2 2 2 5 8 8 8 10 10 7 8 7 7 14 16 15 15 14 12 7 4 5 6 8 9 9 8 7 6 6 7 7 6 5 5 5 5 6 6 5 4 3 4 6 6 6 6 5 4 4 4 3 4 4 4 4 4 4 4 4 5 6 6 9 11 9 10 11 11 9 7 5 4 3 2 2 4 6 8 8 5 4 4 4 4 5 5 5 6 8 9 9 7 4 2 4 6 7 7 8 8 8 7 8 8 8 9 9 9 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 2 2 2 2 1 1 1 1 1 2 2 3 5 7 8 8 8 7 6 6 6 6 5 3 3 3 3 3 3 2 2 3 3 4 4 5 6 7 8 8 8 8 8 8 8 7 6 6 5 5 5 6 5 4 4 4 4 4 4 4 5 5 6 7 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 6 7 7 6 7 9 10 17 33 34 15 2 2 8 11 11 9 9 9 10 8 6 5 6 6 7 7 9 10 10 10 9 10 9 6 3 2 1 -1 -1 1 4 5 5 6 7 12 13 7 6 5 3 2 2 6 6 3 3 5 4 4 5 2 -1 1 4 3 5 5 5 7 5 3 2 2 2 3 6 5 5 7 10 10 8 7 7 6 5 5 4 8 13 11 7 9 6 3 3 3 3 4 4 8 17 27 18 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 5 5 4 4 4 5 7 10 15 18 19 17 16 15 15 17 20 16 10 8 10 9 7 10 16 15 11 17 17 11 11 10 9 14 16 12 10 9 6 4 4 5 8 10 10 9 8 7 6 7 7 7 7 6 6 6 5 5 6 6 5 3 3 4 6 7 7 6 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 7 8 10 11 11 10 8 6 5 3 2 2 4 7 9 8 6 4 3 3 4 5 5 6 7 9 10 9 6 3 1 4 5 5 4 5 5 6 7 8 9 10 10 10 10 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 5 4 4 3 3 3 3 3 2 1 1 1 1 1 2 4 5 5 5 5 6 6 6 6 6 5 4 4 3 4 4 4 3 3 3 2 2 3 3 4 5 6 7 7 8 9 8 8 8 8 7 6 5 5 5 5 5 5 4 4 5 5 5 5 5 6 7 6 6 5 5 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 3 4 4 4 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 5 6 7 6 6 8 10 13 22 29 16 0 -2 2 5 9 9 8 7 7 7 6 5 5 6 6 7 8 10 10 10 9 9 9 8 5 2 -1 -3 -1 2 3 3 7 10 5 3 7 10 9 8 6 4 2 1 5 6 5 5 4 1 1 5 4 1 5 10 10 8 6 6 8 9 10 6 3 -0 -1 8 6 4 6 7 8 4 2 6 9 6 -1 -2 5 13 14 12 13 9 6 5 2 1 3 4 6 17 28 21 5 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 3 2 2 2 3 3 3 3 3 3 3 4 3 3 2 2 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 7 10 13 15 14 14 15 16 20 22 19 15 17 15 12 14 18 19 19 20 19 17 15 13 9 8 9 7 3 2 2 3 5 6 9 11 11 9 8 6 6 6 7 7 7 6 6 6 5 5 5 6 6 5 3 3 4 6 8 7 6 5 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 6 8 9 10 11 10 9 8 5 4 3 3 5 7 8 8 6 4 3 3 4 5 5 6 8 10 10 9 5 2 2 4 4 3 3 3 4 5 7 9 9 10 10 10 9 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 5 5 5 4 5 5 5 5 4 3 3 2 1 2 2 3 4 4 4 4 4 4 5 6 6 5 5 4 4 4 5 5 5 5 4 3 2 2 2 2 4 5 5 6 6 7 8 8 8 8 8 7 6 6 5 4 4 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 4 4 4 5 4 4 4 4 4 3 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 4 3 3 4 3 4 4 5 4 4 4 5 5 4 5 5 5 5 5 5 5 6 5 5 5 4 4 4 5 5 6 7 7 7 9 12 17 23 22 6 -3 3 5 3 8 10 8 6 6 5 5 5 6 6 6 8 10 10 10 10 10 10 9 8 4 -1 -4 -3 1 7 7 2 5 12 9 7 5 3 5 7 9 9 7 4 4 5 6 9 7 2 2 6 7 6 12 14 12 9 7 6 6 10 15 11 8 4 1 7 6 6 6 1 2 1 1 6 11 11 3 -1 3 10 14 16 13 11 6 3 1 1 5 6 5 19 30 18 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 4 4 3 2 2 3 4 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 6 7 8 8 8 7 6 8 13 17 17 17 17 15 12 11 12 15 13 13 13 11 10 7 5 4 3 3 2 2 3 5 7 9 10 10 8 6 5 5 5 5 6 5 6 6 6 6 5 5 6 6 6 5 4 4 5 7 8 7 5 4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 6 8 8 10 11 12 10 9 7 5 4 3 5 7 8 8 6 4 3 4 5 5 5 7 9 9 9 7 4 3 3 3 3 2 2 2 5 7 8 9 10 9 9 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 4 5 5 4 2 2 3 4 5 5 5 5 4 4 4 5 6 6 6 5 4 2 1 2 3 3 3 3 4 5 6 7 7 8 8 8 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 7 9 12 16 20 25 19 -0 -4 8 5 1 6 9 8 7 6 5 5 5 6 6 7 9 10 10 11 11 11 11 9 6 2 -3 -4 -1 5 10 9 -0 2 12 13 11 3 -1 -2 3 10 13 11 5 1 -0 5 8 7 4 6 9 10 11 12 10 8 7 5 4 6 8 9 8 7 8 8 5 2 6 6 -1 1 3 6 8 8 13 9 6 6 5 11 17 14 11 5 1 -2 1 10 12 8 20 30 16 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 4 5 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 5 5 4 4 3 3 3 5 6 6 6 5 4 4 3 3 3 3 3 3 4 3 3 3 3 4 4 5 5 5 5 4 3 4 4 4 4 4 4 4 5 5 5 4 4 5 4 3 3 4 5 9 10 11 8 7 5 6 6 6 7 7 6 6 6 5 4 3 2 2 3 4 5 7 8 8 7 6 4 3 3 4 4 3 4 4 5 5 5 6 6 6 6 6 6 6 5 4 5 6 7 6 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 5 6 7 8 10 12 12 12 10 7 5 4 4 6 8 9 8 7 5 4 6 6 5 7 8 9 9 8 7 5 3 3 3 3 1 2 5 6 8 9 9 9 9 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 4 4 4 5 6 6 6 5 5 5 4 4 3 5 5 6 3 1 1 3 4 4 5 5 4 3 4 4 6 7 8 8 6 4 3 2 1 2 2 3 3 4 5 5 6 6 6 7 7 7 6 7 6 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 7 6 6 6 6 5 5 5 5 5 4 4 3 3 2 3 3 3 3 3 3 4 3 3 4 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 5 5 4 5 6 8 9 11 16 21 24 24 16 -2 -1 5 -0 -2 1 6 8 8 7 6 5 5 6 6 7 9 10 9 10 11 11 10 8 3 -3 -4 -2 2 5 7 7 1 1 8 7 4 2 -1 -3 4 9 10 10 7 4 5 7 5 4 4 6 9 11 12 8 5 4 4 2 3 5 7 3 0 3 7 8 4 -3 1 9 5 4 8 12 6 3 9 12 11 10 7 10 20 21 12 5 -0 -6 -0 14 17 10 18 29 17 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 3 3 3 4 4 5 5 5 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 3 3 4 5 5 6 7 7 6 5 4 3 3 3 4 3 4 4 4 3 3 4 4 5 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 3 2 2 2 4 4 3 4 4 4 4 5 6 6 6 6 6 5 4 3 2 3 3 4 6 7 6 6 4 3 2 1 2 2 2 2 3 3 3 4 4 6 6 6 5 6 7 8 6 3 3 5 6 7 5 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 5 6 7 9 11 12 13 12 10 7 5 4 5 7 9 10 10 8 6 5 6 7 7 7 9 10 9 8 7 5 3 3 3 2 2 4 6 8 9 10 9 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 3 3 3 3 4 5 6 6 6 6 6 6 5 5 5 5 6 6 4 2 2 3 4 5 4 4 4 3 3 5 7 9 9 8 7 5 3 2 2 1 2 2 3 4 4 4 4 4 5 5 6 6 6 6 5 4 4 4 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 5 7 8 10 16 22 25 23 20 12 5 5 2 -7 -8 -3 3 8 8 8 8 6 6 7 7 7 9 10 9 8 10 10 8 3 -2 -5 -2 2 3 4 5 3 -1 1 5 1 1 6 0 4 8 3 5 7 6 9 12 12 4 1 1 5 9 11 9 5 5 6 3 1 1 3 4 1 -2 2 5 7 4 -6 -1 14 11 5 8 8 -1 1 4 6 12 18 17 12 20 26 14 3 -3 -5 2 12 13 9 18 30 20 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 6 5 4 3 3 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 3 4 4 5 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 6 7 7 6 5 3 3 3 4 4 4 4 4 3 3 4 4 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 5 5 6 7 7 6 5 4 3 3 4 6 7 6 5 4 2 1 0 1 1 2 2 2 2 1 1 2 3 5 6 6 6 6 7 8 7 4 3 4 5 7 6 5 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 6 8 9 12 13 14 12 9 7 4 4 5 7 10 12 11 7 5 7 9 8 8 9 9 9 9 8 6 4 3 4 3 2 3 5 7 8 8 8 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 3 2 2 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 8 8 6 4 3 4 4 4 4 3 3 3 4 6 8 8 9 9 8 6 4 3 2 2 2 3 3 2 2 2 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 6 6 6 7 10 16 25 29 23 15 12 6 8 7 -2 -11 -11 -4 3 8 9 8 8 8 8 8 7 7 8 10 10 9 10 9 5 -2 -5 -2 3 4 3 4 7 6 2 0 1 2 5 5 1 9 12 1 0 3 6 10 10 8 3 2 2 6 12 11 7 4 4 6 6 5 3 2 1 1 2 5 2 2 3 -3 2 17 17 5 5 2 -5 3 5 3 7 14 15 14 24 30 15 2 -5 -4 4 8 6 6 17 32 23 5 4 5 4 4 4 3 3 3 4 4 4 3 4 4 5 4 4 4 3 3 3 4 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 6 6 5 5 5 4 3 4 5 5 6 6 5 6 6 6 6 7 7 6 4 3 3 4 4 3 4 3 3 4 4 4 4 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 7 7 7 7 6 6 5 6 7 6 5 4 3 2 1 1 2 3 3 3 2 2 2 1 -1 2 4 5 6 6 6 7 7 7 6 4 3 4 5 6 6 4 4 3 3 3 2 2 1 2 2 2 3 3 3 3 3 3 4 5 6 8 10 12 14 14 11 8 5 3 3 5 8 12 11 9 7 7 8 8 8 8 8 8 9 8 7 6 5 6 3 2 2 2 4 5 6 7 6 5 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 2 2 3 3 4 5 6 6 6 6 6 6 6 7 7 6 6 7 9 9 6 4 3 4 5 4 4 3 2 3 4 5 7 8 9 9 8 6 5 4 4 2 2 1 1 1 1 1 2 2 3 3 4 4 3 3 2 2 2 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 6 5 6 5 5 6 6 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 5 6 6 6 6 7 6 6 8 15 27 34 27 13 3 5 5 5 -1 -8 -11 -7 -0 6 9 9 8 8 9 9 8 7 8 10 10 10 10 10 7 1 -6 -5 1 4 5 5 6 6 8 11 10 7 5 5 -0 0 12 16 5 2 5 9 14 10 2 2 4 4 7 12 10 7 7 4 3 6 9 7 4 3 4 7 7 4 4 4 2 5 17 18 4 2 0 -3 6 7 2 4 10 10 16 30 30 15 2 -3 -3 5 8 5 5 14 32 25 5 4 5 5 4 4 3 3 4 5 4 4 4 4 4 5 5 4 4 4 3 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 7 8 8 9 8 6 4 3 3 4 4 4 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 4 5 4 5 4 4 4 5 5 5 3 3 3 3 3 4 4 4 4 3 4 4 4 4 5 6 7 8 8 7 7 7 7 6 5 4 3 2 2 3 4 4 4 4 2 2 6 8 -0 -1 3 4 5 6 6 7 7 7 6 5 4 3 4 5 6 5 4 4 3 3 2 2 1 1 2 2 3 4 4 3 3 2 3 4 5 6 8 11 13 15 13 10 7 4 3 3 5 8 10 9 8 7 7 7 7 7 7 8 8 8 8 7 8 6 5 2 1 1 1 3 4 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 3 4 4 4 4 5 7 7 6 6 5 5 6 7 7 7 6 6 7 8 6 4 4 4 4 4 4 3 2 2 2 3 4 5 6 7 7 7 7 7 6 4 2 1 1 1 1 2 2 2 3 4 4 4 4 3 2 2 2 2 2 2 2 2 2 3 4 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 6 6 5 5 5 5 4 4 4 4 5 4 4 5 4 4 5 4 4 4 4 5 5 5 5 4 4 5 4 4 5 5 5 4 3 4 5 6 6 7 7 7 7 8 13 24 34 32 19 5 -4 -0 3 -10 -14 -10 -5 -0 5 8 10 9 8 7 8 9 9 8 10 11 10 10 10 7 3 -5 -7 -2 1 4 6 7 8 7 4 4 9 8 5 3 -2 2 11 16 12 11 10 12 15 10 1 -1 2 6 8 10 8 7 9 4 1 5 8 6 5 7 10 12 8 9 11 9 3 3 14 11 1 -2 -3 -2 8 5 -1 2 8 7 18 34 28 11 0 -1 2 8 10 6 4 12 28 24 7 4 5 5 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 5 6 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 6 8 10 11 11 8 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 3 4 4 5 5 4 3 3 3 3 4 4 5 4 4 4 4 4 4 5 6 7 8 9 9 8 8 7 6 4 4 3 3 4 4 5 5 5 4 2 2 8 10 3 -1 2 4 5 6 7 7 7 7 7 6 5 4 4 5 6 5 4 4 3 2 3 3 1 0 2 2 3 3 3 3 3 3 2 3 3 5 6 8 11 13 14 12 9 6 4 3 3 4 6 7 8 8 8 8 7 6 7 7 7 7 8 8 9 7 7 3 2 2 2 2 3 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 5 5 4 4 5 5 7 7 7 6 5 5 5 6 6 6 6 6 7 6 6 4 4 4 5 5 4 3 2 2 2 2 2 3 4 4 5 6 6 8 8 7 5 3 2 2 2 2 2 3 4 4 5 5 5 4 3 3 2 2 2 1 1 1 2 3 3 4 4 4 3 3 4 4 4 4 4 5 5 5 6 6 7 7 7 7 6 6 6 5 5 5 5 5 4 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 7 8 8 9 10 12 18 26 28 21 12 5 -2 -6 -9 -21 -16 -5 2 6 8 9 9 8 7 7 8 9 10 10 11 11 10 9 8 5 -2 -6 -4 -0 2 5 9 9 8 10 8 3 -0 -3 -1 1 2 6 11 15 19 19 13 11 11 7 1 -1 4 8 8 7 6 5 6 2 3 8 6 3 3 5 7 8 6 9 17 14 2 1 10 9 1 -2 -6 -4 8 8 2 0 -1 1 20 35 25 8 -1 -1 5 10 11 8 6 14 25 19 8 5 5 5 5 4 3 4 5 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 4 5 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 4 5 4 4 4 3 3 5 8 11 12 10 6 4 3 4 4 4 4 5 5 5 5 4 4 3 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 5 5 4 4 3 4 4 4 5 6 8 9 9 9 8 7 6 5 4 4 3 4 4 5 5 5 4 2 3 8 9 4 1 4 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 4 3 2 2 3 4 3 1 2 2 2 2 2 3 3 3 3 3 3 3 5 6 8 11 13 13 12 9 6 4 3 3 4 4 6 8 9 9 7 6 7 7 7 7 7 9 9 9 8 6 4 3 3 3 4 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 6 5 4 4 4 5 6 6 7 7 5 4 4 5 6 6 6 6 6 6 6 4 4 4 5 4 4 4 3 3 2 2 2 2 2 2 3 4 6 7 8 10 9 6 5 4 3 2 3 3 3 4 4 5 5 5 4 3 3 2 1 1 1 1 1 2 3 3 4 4 3 3 3 4 3 3 4 4 5 5 5 6 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 7 9 9 11 13 15 17 18 17 13 8 7 7 2 -8 -13 -12 -5 3 7 9 9 8 7 6 6 7 9 10 11 12 12 12 10 8 6 2 -2 -2 -0 -1 3 6 9 7 6 8 6 0 -2 -3 -2 0 5 8 10 15 21 18 11 10 9 5 -1 0 6 9 8 4 5 5 2 -1 7 14 8 3 1 -1 1 2 1 6 12 13 8 3 8 13 10 7 -2 -4 3 11 8 4 2 9 25 30 19 6 0 1 6 10 9 7 7 15 25 18 7 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 5 6 5 6 5 5 5 4 3 2 2 2 2 3 4 4 4 5 5 5 5 4 3 3 2 2 3 7 10 11 8 5 4 4 4 4 5 5 6 5 5 4 3 3 3 4 4 4 3 3 3 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 4 4 5 5 4 3 3 4 5 5 6 7 8 9 9 8 7 6 5 5 5 4 4 4 5 5 4 3 2 5 9 9 4 3 6 5 4 5 5 7 7 6 5 5 5 6 6 6 8 8 5 3 2 2 1 3 4 3 2 2 2 2 2 3 3 3 4 3 3 3 4 5 6 8 11 13 13 11 9 7 5 3 1 2 4 6 7 7 7 7 7 7 7 7 8 9 9 9 7 7 7 6 5 5 5 6 7 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 4 3 3 3 4 4 5 7 7 6 5 3 3 4 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 5 6 7 8 9 8 6 5 4 3 2 2 3 3 3 4 5 5 5 4 3 2 2 1 1 1 1 1 2 3 3 3 3 4 3 3 3 3 3 4 3 4 4 5 5 6 6 6 7 7 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 5 5 8 11 11 16 18 17 17 13 7 2 1 6 11 6 -3 -3 2 5 9 10 10 9 8 6 5 5 6 8 10 12 13 14 13 10 7 3 1 -1 -1 0 0 5 7 5 3 4 5 1 -3 -2 -3 -1 6 13 8 6 12 15 11 8 8 7 3 -0 1 6 10 10 4 4 6 3 1 8 15 13 6 -1 -3 1 3 2 4 4 8 12 7 6 12 13 12 7 1 -3 10 15 14 12 17 24 22 11 3 0 1 6 8 7 5 7 16 25 17 7 6 5 5 5 3 4 5 5 4 4 4 4 4 4 5 4 4 3 3 3 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 3 3 4 4 4 4 5 5 6 5 4 4 4 5 4 4 3 3 2 2 2 2 2 3 6 7 6 5 5 4 4 4 3 3 2 1 0 2 6 8 9 8 6 6 5 5 5 6 6 5 3 2 1 2 3 3 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 3 3 4 4 5 5 6 7 7 7 7 6 6 5 5 4 5 5 5 5 5 3 2 4 5 7 7 6 6 6 5 4 4 5 6 6 6 5 5 5 5 6 6 7 8 8 5 3 1 1 2 3 3 3 3 2 2 2 2 3 4 4 4 3 3 3 4 4 5 8 11 12 12 11 10 8 5 3 2 3 4 4 5 6 6 6 7 7 7 7 7 9 10 8 8 8 8 7 6 6 6 7 8 7 5 6 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 3 3 3 3 3 3 3 3 3 4 5 6 5 4 3 3 5 6 7 6 6 6 7 6 4 3 4 3 3 3 3 4 3 4 3 3 2 2 4 5 7 7 7 7 6 6 6 5 3 2 2 2 2 2 3 4 5 6 6 4 3 2 1 1 1 1 1 1 2 3 3 4 4 4 4 4 3 3 4 4 3 3 4 4 5 5 5 5 6 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 3 3 3 4 4 5 5 9 13 13 17 16 12 12 10 6 4 8 14 13 7 4 7 10 11 11 11 10 9 8 7 6 7 7 7 10 13 15 15 12 9 5 3 2 1 -0 1 5 6 5 1 3 4 2 5 10 7 -2 1 10 13 4 3 8 7 4 4 4 5 5 4 4 6 11 10 3 2 8 8 7 9 14 13 6 0 1 4 3 1 4 6 8 10 7 6 7 5 5 11 10 -4 5 18 21 18 17 16 9 2 1 -1 -0 6 8 7 6 8 18 24 14 7 6 6 5 5 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 4 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 3 5 6 7 6 4 3 2 3 3 3 3 3 1 0 0 2 3 5 6 6 5 5 5 6 5 4 3 2 1 1 2 3 3 3 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 4 3 3 3 4 4 4 5 6 6 6 6 5 4 4 4 4 5 5 5 5 5 4 4 5 6 5 4 6 7 6 6 5 4 4 5 6 6 6 5 5 5 5 5 6 7 7 6 5 3 3 3 3 4 3 3 2 2 2 3 4 4 4 5 4 3 4 4 4 4 6 8 11 12 10 9 10 9 8 6 4 4 4 4 5 6 6 6 6 6 5 5 7 10 11 11 10 9 8 7 6 6 6 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 2 1 2 3 5 6 5 3 2 2 4 5 6 5 4 3 4 6 7 6 6 7 7 7 5 4 3 2 2 3 3 3 4 4 4 4 3 3 4 7 9 8 6 5 5 5 5 4 3 3 2 1 1 1 2 3 5 6 7 5 4 2 2 1 1 1 1 1 1 2 2 3 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 5 6 6 11 16 15 13 10 9 11 11 9 12 18 15 7 4 7 10 10 11 10 9 8 9 9 9 9 8 8 9 10 13 17 16 12 7 6 5 4 2 1 4 8 9 5 3 5 5 1 5 11 13 7 7 12 4 -3 2 6 2 -0 -1 -2 7 17 13 3 2 10 9 4 3 9 15 17 14 14 10 2 -2 6 10 7 1 0 7 8 7 11 8 3 4 3 8 14 -1 -6 9 24 23 14 4 -4 -4 1 -1 1 8 9 8 7 7 15 24 16 6 6 6 5 5 4 4 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 3 4 5 5 4 2 2 4 5 5 5 4 3 2 2 3 3 2 3 3 2 1 1 1 1 1 2 2 3 3 4 4 4 3 2 1 1 1 2 3 3 4 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 5 6 6 5 6 6 5 5 5 4 4 5 6 6 6 5 4 4 4 6 6 6 6 6 5 5 4 5 5 6 6 5 6 6 7 6 5 5 3 2 2 2 3 4 5 5 4 4 4 4 4 4 4 4 5 8 10 9 8 10 12 12 10 7 5 4 4 4 4 4 5 5 4 3 4 6 10 13 12 11 9 8 7 6 6 5 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 2 1 0 1 4 7 8 7 5 2 1 3 4 6 6 4 4 4 6 7 7 7 6 7 8 8 6 5 3 2 2 2 3 3 4 4 4 4 4 5 8 11 10 7 6 5 4 4 4 3 2 2 1 1 1 2 3 4 6 7 8 6 3 2 1 1 1 1 1 1 1 2 2 3 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 4 5 7 9 11 16 17 13 8 8 10 12 10 6 14 13 3 -3 2 7 8 7 7 7 7 7 8 8 9 10 10 10 10 10 13 18 18 11 7 7 7 6 2 0 3 8 11 10 9 9 6 4 2 6 8 6 10 19 3 -4 5 7 1 3 3 -0 11 25 15 -0 -0 7 10 10 10 10 13 14 16 17 8 -3 -5 4 11 6 -2 3 11 7 9 17 7 -0 9 12 10 12 4 -6 6 26 21 7 -8 -12 1 6 4 7 9 8 8 8 6 12 24 22 8 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 2 3 3 4 4 3 3 4 5 5 4 4 4 4 4 4 3 3 3 3 2 2 3 4 3 3 3 2 1 0 1 4 5 6 6 5 3 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 1 1 2 2 3 2 2 2 3 3 3 3 4 4 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 5 6 7 6 7 8 9 8 5 4 5 6 6 6 6 6 6 5 4 4 4 5 6 7 7 6 5 5 5 5 5 5 5 5 6 8 8 8 7 6 3 2 3 4 4 5 5 4 4 4 4 4 4 4 4 5 6 6 7 7 9 11 14 14 13 9 5 3 3 3 3 4 4 4 4 3 5 9 10 8 8 7 6 6 5 4 4 3 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 2 1 1 2 3 6 7 8 6 4 3 2 4 6 7 6 4 4 5 7 7 7 6 7 8 9 8 8 6 3 2 2 2 3 3 4 4 4 5 6 8 10 11 9 6 4 4 3 4 3 3 2 2 2 2 2 3 4 5 8 10 8 5 3 2 1 1 1 0 1 1 1 2 2 3 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 5 4 5 5 4 4 4 3 4 5 6 10 15 17 16 12 8 7 8 10 11 6 1 7 3 -7 -4 3 5 5 4 4 5 5 5 6 8 8 9 9 10 12 12 14 17 16 10 7 7 6 3 1 2 4 5 9 12 14 10 6 4 -3 -2 1 3 13 21 4 1 9 5 2 11 11 4 10 15 6 0 3 6 11 14 14 11 9 6 10 13 3 -1 -1 3 8 2 -2 6 10 8 12 13 4 2 9 11 10 11 15 8 18 28 16 -5 -20 -9 16 22 18 18 13 8 6 6 6 11 24 24 10 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 3 3 3 3 3 3 4 4 3 3 4 5 6 5 4 4 4 4 3 2 2 2 2 2 2 3 3 3 2 2 1 1 1 3 8 11 10 6 3 2 3 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 3 2 2 3 3 4 4 4 4 4 4 4 5 6 6 7 6 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 2 1 1 0 0 1 2 3 4 3 3 5 6 7 7 8 10 13 12 6 3 6 8 8 8 6 5 6 6 4 4 4 5 6 7 7 7 6 5 5 5 5 6 6 5 5 6 7 8 8 8 7 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 7 9 13 17 19 14 8 4 3 3 3 3 3 3 3 2 3 5 6 5 4 4 4 4 3 3 3 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 2 2 3 3 3 5 6 6 6 5 4 4 5 7 7 5 4 5 6 8 8 7 6 6 8 9 11 9 6 3 2 3 3 3 4 4 4 4 6 7 8 10 9 7 4 3 2 2 3 3 3 3 3 3 3 4 4 5 8 10 11 7 3 2 1 1 1 1 0 0 0 1 1 2 3 4 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 4 4 5 6 6 10 18 18 12 7 6 7 8 9 8 3 3 5 0 -6 -1 4 4 3 3 4 4 3 4 6 8 8 9 10 11 14 15 15 16 13 9 6 6 3 1 2 6 7 6 6 10 9 6 7 5 -4 -5 -2 3 19 15 -2 1 6 2 8 22 14 1 1 1 3 10 11 9 11 12 11 11 9 6 7 6 -2 6 10 6 7 2 2 3 -0 5 11 7 4 9 11 8 2 8 21 17 27 28 10 -13 -19 2 25 30 30 26 17 10 7 5 5 11 24 25 11 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 5 6 6 5 4 3 3 3 3 3 3 3 4 4 3 3 3 4 5 6 5 4 4 4 3 2 2 2 3 2 2 3 3 3 2 1 1 1 2 5 11 15 14 9 4 3 5 8 7 5 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 5 4 4 4 4 4 5 5 5 5 6 6 5 5 5 6 6 6 6 7 6 6 7 7 6 7 6 6 7 7 7 7 7 7 7 6 6 6 5 5 4 3 2 2 2 3 3 3 3 3 3 2 1 -0 -0 1 1 3 3 3 3 4 6 7 7 8 10 14 15 7 3 4 8 11 10 8 6 5 5 5 4 3 4 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 6 5 4 4 3 3 3 4 4 5 5 4 4 4 4 4 3 3 4 6 10 16 21 19 13 7 4 3 2 2 2 2 2 2 1 1 3 3 3 3 3 4 3 3 3 3 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 3 3 3 3 4 5 6 6 6 4 4 6 7 6 5 4 6 7 8 7 6 6 6 8 10 11 10 6 4 3 3 4 4 4 4 4 5 5 6 7 8 8 6 3 2 1 2 3 4 3 3 4 4 4 4 6 7 10 13 11 6 3 1 1 1 1 0 -0 -0 -0 0 1 2 3 3 3 3 4 5 5 5 6 5 5 5 5 5 4 4 4 4 5 6 7 6 7 6 6 5 6 6 6 6 5 6 6 5 5 5 5 4 4 5 6 7 7 7 15 18 11 7 8 8 8 8 7 4 7 8 2 -2 2 2 3 3 4 4 3 3 4 7 8 9 10 11 13 15 17 17 14 9 6 5 4 4 1 2 6 12 12 7 7 4 5 8 8 3 1 -2 2 13 4 -3 3 3 0 12 26 14 2 -3 -4 8 19 15 10 8 6 7 9 7 5 9 7 -0 8 15 8 5 0 -3 -4 -1 6 6 1 5 11 10 7 2 8 14 16 29 26 7 -10 -6 10 18 22 25 22 15 10 8 5 4 10 22 27 14 4 5 6 6 6 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 3 3 4 3 3 3 4 4 3 2 3 3 4 5 5 4 3 3 3 2 2 2 3 3 2 2 2 2 2 2 2 2 2 5 11 16 17 14 10 7 8 9 8 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 6 6 6 5 4 4 3 1 1 2 3 4 3 4 5 4 4 2 1 0 1 2 3 3 2 3 4 6 7 7 7 8 12 15 9 4 4 5 8 10 10 8 7 5 4 4 3 3 4 5 6 6 6 6 5 6 6 6 6 7 7 7 6 6 6 6 7 8 8 6 4 3 2 2 2 4 5 5 5 5 4 4 3 3 3 2 3 3 6 12 19 21 18 12 7 4 2 1 1 2 2 2 1 1 1 2 2 2 3 3 2 2 3 3 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 3 3 3 2 2 2 4 8 8 6 4 4 5 6 5 4 4 5 6 6 6 5 5 6 7 10 11 9 6 4 3 4 3 3 3 4 4 4 4 5 6 8 7 6 4 2 2 3 4 4 4 4 4 4 5 5 7 10 13 13 10 4 2 1 1 1 0 -0 -1 -1 -1 0 1 2 3 3 3 3 4 5 5 6 5 5 5 4 4 4 3 3 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 4 5 6 7 7 6 5 11 16 15 10 9 8 7 7 6 5 10 10 2 -0 2 2 2 3 4 4 3 3 5 8 9 10 12 12 13 16 20 18 11 5 3 4 5 6 7 4 2 8 8 7 6 4 5 6 6 8 8 6 10 7 -3 -0 3 1 0 9 13 7 7 3 1 11 16 11 8 4 2 6 9 5 5 12 9 4 3 9 8 5 4 -1 -1 3 3 -4 -4 3 9 7 0 0 4 3 14 30 25 6 -4 2 9 11 12 14 13 10 8 7 4 2 10 24 29 15 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 3 3 3 4 4 3 2 2 3 4 5 4 4 4 3 2 2 2 3 3 2 2 2 2 1 2 3 2 2 3 8 13 16 15 14 12 10 8 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 7 7 7 6 5 5 5 4 3 3 2 2 3 4 6 5 5 5 5 6 6 4 2 3 5 6 5 4 4 5 6 7 8 8 6 8 11 10 6 5 5 6 7 8 9 9 9 7 5 3 3 3 4 5 5 5 4 4 4 5 5 6 6 7 7 7 7 7 7 6 7 8 6 4 3 3 2 3 4 5 6 6 6 5 4 3 2 2 3 3 2 3 8 15 20 21 17 11 7 4 1 2 2 2 2 1 1 1 2 2 2 3 3 2 2 2 2 2 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 3 3 3 3 3 2 2 3 9 12 9 4 3 4 5 5 5 4 4 4 5 5 4 4 4 4 7 10 10 7 4 3 3 3 3 3 3 3 3 3 3 4 6 8 8 6 4 3 3 3 4 3 3 3 4 4 5 6 8 12 15 13 8 4 2 1 1 1 -0 -2 -2 -2 -1 -0 1 2 2 2 3 3 4 5 5 6 5 5 4 3 3 3 3 3 3 4 5 6 5 5 5 5 5 5 5 6 5 6 6 6 6 6 5 6 6 7 7 7 6 4 6 17 20 13 10 7 7 6 1 4 12 9 2 -0 1 2 2 3 3 3 3 5 8 8 9 13 14 13 15 19 21 17 8 3 2 4 4 5 7 6 9 4 3 5 6 4 1 1 4 8 7 7 12 14 13 8 2 -1 0 4 -2 1 10 10 10 18 14 8 6 3 4 9 11 7 6 10 7 2 3 10 8 5 2 -3 5 18 10 -7 -5 3 5 -1 -4 -1 2 -1 12 28 24 7 1 7 11 11 10 9 8 7 6 5 3 3 12 24 21 8 5 7 6 6 6 5 5 5 4 4 5 5 5 5 5 4 4 5 5 4 5 4 4 4 5 4 3 3 4 5 5 3 2 2 3 3 4 5 4 4 3 2 2 2 3 3 2 2 2 1 1 2 3 2 2 2 4 8 10 12 12 11 9 5 3 3 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 7 7 7 6 5 5 5 5 5 5 4 3 3 4 4 5 6 6 6 5 5 6 6 6 5 7 10 9 7 5 6 7 7 6 6 6 6 6 7 8 7 7 7 6 5 6 7 10 13 12 8 5 3 3 3 4 4 3 3 2 3 4 4 5 5 6 7 8 8 7 7 7 7 7 6 5 3 3 3 3 4 5 6 6 6 5 5 3 2 3 4 3 2 2 5 11 18 21 19 15 11 9 7 5 3 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 5 5 4 4 4 4 3 2 4 9 14 11 6 3 3 4 5 5 5 5 4 4 3 3 3 3 3 4 7 9 6 3 2 2 2 3 3 4 4 4 4 4 3 4 6 8 7 6 4 3 3 3 3 3 3 4 4 4 5 7 11 16 17 12 5 2 2 1 1 0 -1 -1 -2 -2 -1 -0 0 1 1 2 3 3 4 4 5 5 4 4 3 3 3 3 2 3 3 4 4 5 5 5 5 6 5 5 6 5 6 6 6 6 6 6 6 7 8 7 7 5 4 8 20 22 14 11 8 7 4 -4 1 8 5 0 -0 1 2 2 2 2 3 4 7 9 8 10 14 14 15 19 19 17 13 7 4 4 5 3 2 -1 7 17 8 1 6 6 3 -0 0 3 5 3 3 5 15 23 16 7 1 -1 1 -3 3 12 15 14 20 13 4 1 4 8 12 14 10 6 4 -1 -3 9 15 9 1 -8 -8 9 28 17 0 -0 2 -4 -7 -1 1 -0 3 13 21 19 10 7 12 13 12 10 9 7 6 6 5 3 3 9 14 10 5 11 14 8 6 6 6 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 2 2 3 3 4 4 5 4 3 3 2 3 3 4 3 2 2 1 1 2 2 2 1 1 2 4 6 7 8 9 7 5 3 3 3 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 6 5 5 5 5 5 5 5 6 6 7 7 8 7 7 8 7 7 6 6 5 5 5 5 6 6 5 4 4 6 5 5 6 7 6 6 5 5 6 6 6 9 13 11 7 6 7 8 7 6 6 5 5 6 6 6 7 7 7 7 7 6 6 8 13 15 12 9 6 4 4 4 3 2 2 2 2 3 4 4 4 4 6 6 7 8 8 7 7 7 7 6 4 3 3 3 4 5 6 6 6 6 5 4 4 4 4 4 3 3 4 8 14 19 20 17 14 15 15 12 7 4 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 6 6 5 4 4 5 8 12 10 6 3 2 4 5 5 6 6 5 4 4 4 3 3 3 3 4 5 4 2 1 2 2 3 3 4 5 5 5 5 4 4 4 7 8 6 4 3 2 2 2 2 3 3 4 5 5 6 9 13 17 15 8 4 2 2 2 2 0 -0 -1 -2 -2 -1 -1 -0 1 1 2 2 3 3 4 4 4 3 3 2 3 3 2 3 3 4 4 4 4 5 5 6 5 5 5 5 6 6 6 6 6 7 7 8 8 7 6 5 5 11 22 22 14 11 9 8 3 -1 4 2 1 -0 -0 1 2 2 2 3 4 6 7 8 10 15 13 11 18 20 16 13 10 7 5 4 4 2 -1 -3 5 10 6 3 8 6 4 3 5 5 5 10 8 -2 1 10 12 9 4 -1 1 3 6 12 16 11 8 7 1 2 8 10 11 15 13 7 3 -1 -1 9 11 11 9 0 -1 12 20 9 3 -0 -3 -7 -6 1 2 1 8 14 13 10 10 13 15 15 12 9 7 5 7 7 5 2 3 6 7 6 7 15 23 16 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 4 4 5 4 4 3 2 3 3 4 3 2 1 1 1 2 2 2 1 1 1 3 4 5 6 7 7 6 6 5 5 6 5 5 5 5 4 4 4 4 5 5 5 6 5 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 4 4 5 5 6 7 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 7 8 6 5 5 6 7 6 6 6 5 6 6 10 12 9 6 6 6 6 6 6 5 5 5 6 5 6 6 6 6 7 8 7 7 8 12 14 14 12 10 7 5 4 3 2 1 1 2 2 3 3 3 4 4 5 6 7 8 8 8 7 7 6 5 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 4 3 3 5 9 14 17 17 16 16 18 20 15 8 5 4 3 3 4 3 3 2 3 2 2 1 1 3 5 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 10 10 10 10 11 10 8 6 5 5 7 9 8 4 3 3 4 5 5 6 6 6 6 5 4 4 4 3 3 3 3 2 2 2 2 3 3 3 4 5 5 6 6 6 5 4 5 6 6 5 3 2 1 2 2 3 3 3 4 5 6 8 10 15 17 13 6 3 2 2 2 1 1 0 -0 -1 -1 -0 0 1 1 1 2 3 3 3 3 3 3 2 3 3 2 2 2 2 3 4 4 4 4 5 5 5 5 5 5 6 5 6 6 7 7 8 9 7 6 5 5 7 14 23 20 14 11 9 7 5 11 16 5 0 -0 0 1 2 2 2 3 5 6 7 11 18 20 10 10 17 17 15 12 8 8 6 2 -1 -1 1 6 5 -0 2 7 8 7 6 4 9 10 12 21 10 -5 -0 5 3 4 3 3 6 8 9 9 8 6 1 -2 -3 6 9 7 9 15 15 10 7 6 11 16 11 12 14 4 -0 9 10 3 4 3 -4 -4 2 6 7 9 13 12 6 3 8 13 16 16 11 8 6 4 6 7 4 2 3 5 5 5 7 15 27 21 7 5 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 4 4 5 4 4 4 3 3 2 3 4 3 2 2 1 1 2 2 2 1 1 1 2 3 4 5 6 6 7 6 6 6 6 6 6 5 6 5 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 6 7 8 9 9 8 8 8 7 7 7 7 8 9 9 10 11 11 11 12 11 10 9 7 5 6 8 8 7 8 7 6 5 6 9 9 5 6 6 5 5 4 4 5 5 5 5 5 5 6 5 5 6 7 7 7 9 11 13 14 15 14 11 8 5 3 2 1 1 1 2 2 3 3 4 3 4 5 6 7 8 8 7 7 7 6 5 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 5 9 13 16 17 17 18 21 19 13 8 7 6 6 6 5 4 4 3 3 3 2 3 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 11 12 13 13 11 8 6 6 6 6 6 4 4 3 4 5 6 5 5 6 6 6 5 5 5 5 5 4 3 3 3 2 3 3 3 3 3 4 5 6 7 7 6 5 5 5 6 6 4 3 2 2 2 3 3 3 3 4 6 7 9 12 16 16 11 6 4 3 2 2 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3 3 2 2 3 3 3 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 7 8 8 8 8 6 5 6 7 10 18 24 20 12 9 8 10 11 17 13 2 -1 1 1 2 2 2 3 4 5 5 8 16 22 18 10 9 12 16 18 13 9 8 6 1 -3 -3 5 13 10 0 2 5 6 6 6 3 7 11 18 25 10 4 9 4 -1 0 4 9 12 10 9 5 -1 3 0 -7 -5 4 6 6 10 15 15 11 7 5 12 17 12 7 7 3 -1 0 6 4 7 11 3 1 7 11 12 12 12 8 3 4 10 13 16 15 11 8 5 5 6 5 2 2 4 6 5 5 7 14 26 23 9 5 7 7 6 6 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 2 3 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 5 6 7 8 9 9 9 9 8 8 7 8 8 10 11 12 13 14 15 16 15 14 12 9 7 6 7 8 10 10 9 8 8 6 4 5 10 6 5 5 5 4 4 4 4 4 5 4 4 5 6 6 6 5 6 6 8 8 8 9 12 15 17 16 15 11 7 5 3 2 1 1 1 1 2 2 3 3 3 4 4 6 7 7 7 7 7 7 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 5 5 4 3 3 5 8 13 18 20 18 16 15 14 13 11 9 8 8 7 7 6 5 5 4 3 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 9 9 10 13 13 11 9 8 7 6 5 5 5 4 4 5 5 6 6 6 6 6 7 7 6 7 6 6 5 4 4 3 3 3 4 4 4 3 3 4 5 6 7 7 6 5 5 6 6 6 4 3 2 3 3 3 2 2 4 5 6 8 9 12 15 13 10 7 5 4 3 2 2 2 3 4 3 3 2 1 0 1 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 7 8 9 8 6 5 5 7 10 15 24 27 18 9 6 8 13 11 6 -1 -3 -1 1 1 1 2 2 3 5 5 5 10 19 20 12 8 8 9 13 16 15 11 7 5 4 3 1 6 8 9 6 6 3 4 5 4 2 2 9 15 16 9 12 7 -0 -0 3 7 12 12 7 4 -1 -6 -1 3 -0 1 3 4 8 13 14 11 7 4 3 7 11 7 1 -0 4 7 0 2 4 7 11 8 7 9 10 11 10 8 3 2 8 12 13 15 15 12 9 6 6 6 3 1 2 5 6 6 5 6 13 25 25 11 5 6 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 2 1 2 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 5 5 7 7 8 8 9 9 9 8 8 8 9 10 12 13 14 15 17 18 19 19 18 15 10 8 7 8 10 11 11 10 9 8 8 6 1 6 11 7 5 5 4 4 4 4 4 4 5 5 4 4 5 6 6 5 5 6 10 9 6 7 11 15 18 18 16 13 10 7 4 2 1 1 1 2 2 1 2 3 2 3 3 4 5 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 4 4 3 3 4 7 14 18 15 12 12 12 12 12 12 11 10 10 10 10 9 8 6 5 4 4 4 4 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 8 8 9 10 11 11 10 9 8 7 6 6 5 5 6 6 6 7 6 6 6 6 6 7 7 7 7 6 7 6 6 5 5 5 5 5 4 3 2 3 3 4 6 6 6 5 5 6 7 7 6 4 3 3 3 3 2 2 3 5 6 7 7 9 11 12 11 10 8 7 6 5 4 5 6 6 6 5 3 1 0 1 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 8 8 7 5 4 6 11 18 26 34 30 16 6 2 1 5 0 -5 -4 -2 -1 -0 1 1 2 3 4 5 5 6 10 18 18 11 8 9 8 7 9 12 13 6 2 8 9 7 6 4 5 7 8 5 2 4 3 2 2 7 10 4 3 6 2 1 4 8 10 10 7 3 -0 -4 -4 1 4 3 5 5 4 8 13 12 3 -1 1 3 7 8 5 1 -1 3 8 5 1 6 7 7 8 8 11 13 11 7 3 2 7 12 10 11 12 13 12 10 8 7 6 3 1 2 5 7 6 4 6 15 26 24 10 4 5 7 8 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 2 3 3 3 4 5 5 4 4 3 3 3 3 4 3 3 3 3 3 3 2 2 3 3 2 2 1 1 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 7 8 8 9 9 9 8 8 8 8 9 11 13 14 15 17 18 19 20 19 19 18 16 12 10 10 10 11 11 10 10 9 8 8 6 3 8 10 6 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 7 8 6 6 9 13 19 19 17 14 11 8 5 3 2 2 3 2 2 3 3 3 3 2 3 2 3 3 5 5 5 5 5 5 6 6 5 5 4 4 4 5 5 5 4 5 6 6 5 5 5 3 3 3 3 6 10 11 11 10 10 11 11 12 13 13 13 13 14 14 12 10 7 5 5 5 5 5 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 4 6 7 8 9 9 10 10 9 9 8 7 6 6 6 7 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 5 4 3 3 4 4 4 5 5 5 6 6 8 8 7 5 4 4 4 3 3 2 3 4 5 6 6 7 8 9 10 10 10 9 9 9 9 8 8 8 7 6 3 1 1 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 6 7 7 8 8 6 4 6 12 22 30 37 36 24 10 2 -5 -9 -7 -9 -8 -4 -1 -1 -0 1 1 2 4 6 6 6 6 9 14 17 15 14 12 10 6 3 5 11 8 3 8 11 12 6 5 4 6 10 10 4 2 2 5 8 8 6 3 3 4 3 5 5 6 7 4 2 2 1 0 1 4 5 3 4 7 7 8 11 8 2 4 4 3 5 5 2 3 6 8 9 9 5 10 11 6 2 5 14 13 12 5 -1 6 18 16 9 10 11 11 11 11 9 7 6 4 2 3 5 6 6 5 10 22 28 18 6 3 5 8 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 3 3 4 4 3 2 2 2 3 3 2 2 2 2 3 4 4 4 4 4 5 5 5 5 6 6 6 5 6 6 6 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 5 5 6 5 6 7 7 8 8 9 9 9 8 8 8 7 8 9 12 13 14 15 17 18 19 19 18 17 16 15 14 14 12 11 10 9 9 9 9 9 9 9 6 7 10 7 5 5 5 5 5 5 5 5 4 5 5 5 4 4 5 5 5 4 3 5 6 5 5 7 10 16 20 19 14 11 8 6 5 4 4 5 4 4 6 8 6 4 3 3 2 1 2 3 4 5 5 5 5 5 5 5 4 3 3 4 4 5 4 4 5 6 5 5 5 5 5 5 4 3 2 4 6 8 9 8 9 10 11 12 12 13 14 16 17 17 15 11 8 6 5 6 6 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -0 0 1 3 5 6 8 8 9 10 10 9 8 8 7 6 7 7 9 8 7 6 6 6 7 7 6 5 5 6 6 6 7 7 8 9 9 9 7 6 5 6 7 7 6 5 5 4 4 5 6 8 8 7 5 4 4 4 4 3 3 3 4 5 5 5 5 6 7 8 8 9 10 10 12 12 11 9 8 7 5 4 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 6 7 8 8 7 5 5 11 24 33 34 30 24 16 7 1 -7 -9 -8 -9 -7 -3 -1 -0 1 2 2 4 5 7 7 7 7 8 10 16 19 16 13 13 10 4 2 8 11 7 7 12 11 4 7 5 6 8 15 10 3 2 8 12 8 2 8 13 14 10 7 2 0 2 3 3 5 6 7 6 6 5 4 5 8 9 10 12 7 6 14 8 4 5 3 0 2 9 10 8 8 4 7 11 6 1 2 10 12 11 2 -3 10 23 18 10 10 11 10 11 12 10 9 6 5 4 4 5 6 6 7 16 29 25 10 3 3 5 7 8 7 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 2 2 3 3 3 3 2 2 2 3 4 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 6 6 6 5 5 6 6 7 7 8 9 9 9 9 8 8 8 9 9 8 9 12 13 15 15 15 16 17 17 16 15 12 10 8 9 11 11 10 8 7 7 8 8 9 10 9 7 5 5 6 5 4 5 5 5 5 5 4 4 4 5 4 5 5 5 5 5 4 4 6 9 3 1 5 7 12 19 21 17 13 8 6 5 6 6 5 4 5 8 13 14 8 4 4 4 2 1 2 4 4 5 5 6 6 6 4 4 3 3 3 4 3 4 4 5 5 5 5 5 5 5 5 4 3 3 3 5 6 6 7 7 8 9 10 10 10 12 14 16 18 18 15 10 6 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 -0 -0 1 3 4 6 7 8 10 10 10 9 8 8 7 7 8 9 9 9 8 8 7 7 7 6 5 5 5 5 6 6 7 8 9 9 8 7 5 6 8 12 13 11 8 6 4 4 4 5 6 7 6 5 5 5 5 5 5 3 3 3 5 5 4 5 5 5 6 6 8 9 10 12 13 12 10 8 6 5 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 5 7 8 8 7 6 5 9 20 30 33 27 16 8 5 6 6 1 -1 -5 -7 -5 -2 -0 1 2 2 3 5 7 8 8 8 8 8 11 19 20 13 9 12 13 9 5 8 9 6 4 10 8 6 5 5 5 8 13 9 3 2 6 10 5 4 12 15 12 14 6 -0 -2 3 6 4 6 9 10 10 8 6 4 4 7 8 11 12 5 9 13 7 6 7 7 4 3 7 8 5 2 1 5 9 8 6 4 5 19 13 4 5 14 18 14 10 10 11 12 11 12 13 10 6 4 3 3 4 5 6 10 21 30 20 6 3 4 5 7 8 7 7 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 3 3 3 4 5 5 5 4 4 5 5 5 5 4 4 3 2 2 3 3 3 3 2 2 2 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 8 7 7 7 8 7 7 6 6 6 5 5 6 6 6 7 7 8 10 10 9 8 8 8 8 9 9 9 10 12 14 15 14 13 13 14 14 14 13 11 7 3 0 3 7 9 8 6 5 5 6 8 10 11 11 10 4 -3 1 5 5 4 4 5 5 5 5 4 2 2 3 3 4 4 5 6 5 4 5 11 4 -2 4 5 9 15 19 19 16 12 8 6 6 6 5 3 6 11 15 17 13 9 8 6 3 1 2 3 4 5 5 6 6 6 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 5 6 7 8 8 9 11 14 16 17 15 12 9 8 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 2 2 2 3 4 5 6 8 9 10 10 10 9 8 8 8 8 10 11 11 10 9 8 8 7 6 5 5 5 5 6 6 7 7 8 7 6 5 6 8 13 15 14 10 7 5 5 5 5 6 6 5 5 5 5 6 7 6 4 3 3 4 4 4 4 4 5 5 6 7 7 9 11 12 12 10 8 7 5 4 5 4 4 5 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 7 9 9 9 8 6 8 14 20 23 27 25 14 2 2 11 14 9 1 -8 -7 -3 0 2 2 2 3 4 6 8 8 9 9 9 11 16 21 17 10 7 9 12 11 9 7 6 5 5 7 7 8 7 11 5 2 3 3 1 2 6 8 5 7 9 7 4 9 4 -2 -2 5 6 4 5 8 11 11 9 8 6 5 6 7 7 4 -0 8 7 6 5 5 9 10 6 5 8 9 8 5 7 10 12 10 8 9 13 8 10 16 16 11 9 10 10 10 11 12 13 13 10 5 2 1 3 4 5 7 13 25 27 15 5 3 4 6 7 8 8 7 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 6 5 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 3 3 3 4 4 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 7 6 7 7 7 7 7 7 6 7 6 5 5 5 6 6 7 7 8 9 10 10 9 8 8 7 8 9 9 10 10 12 13 15 14 13 12 11 10 10 10 9 9 8 4 -1 1 6 8 6 6 5 4 5 7 10 11 12 11 6 -4 -3 3 5 5 5 5 5 5 6 7 4 2 2 2 2 0 2 5 6 6 6 6 3 1 4 5 7 10 14 17 18 17 14 11 9 8 7 6 6 9 13 15 14 11 9 7 4 2 2 3 4 4 5 5 6 6 6 6 5 4 3 3 2 2 2 3 5 5 5 5 4 5 5 5 5 4 3 3 3 4 5 4 3 3 4 6 7 8 10 11 12 13 13 13 13 11 12 14 14 13 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 5 2 2 2 2 4 5 7 9 10 10 10 9 9 8 8 10 12 12 9 8 7 8 7 6 6 5 5 5 5 6 6 7 6 6 6 5 5 7 10 11 10 8 7 6 6 7 8 7 7 6 5 4 5 7 8 7 5 4 3 4 4 4 4 4 4 5 5 6 7 8 9 10 10 9 8 7 7 6 6 6 6 6 5 5 4 3 3 3 3 2 2 3 2 3 3 3 3 4 3 4 4 4 4 5 7 9 11 12 12 9 8 12 12 10 14 23 26 21 11 8 12 10 1 -8 -11 -6 0 2 2 2 2 4 6 7 8 7 9 13 15 15 18 18 12 11 9 8 10 10 10 9 8 8 6 6 5 0 -0 3 1 -0 -1 0 -1 2 7 7 2 2 4 7 8 4 3 -1 -2 3 5 4 4 6 11 11 8 9 9 7 7 9 5 -1 -2 5 0 1 0 2 9 12 9 6 7 10 11 7 8 11 16 10 4 12 0 0 16 19 14 8 7 10 10 10 11 12 11 10 7 4 3 2 4 5 5 6 13 25 26 12 3 4 6 7 7 8 7 6 6 6 5 4 4 4 4 4 4 5 5 4 5 5 5 5 5 6 5 5 6 6 5 4 3 4 5 6 6 5 5 5 6 5 5 5 5 4 4 4 3 3 4 4 4 4 3 3 4 4 5 5 4 4 4 4 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 9 9 9 9 7 7 6 7 8 9 10 10 11 13 15 14 12 12 12 11 9 8 6 5 4 7 12 9 5 6 7 7 7 6 5 7 11 12 11 11 11 7 1 -0 3 6 6 6 6 5 6 7 9 9 7 6 5 5 3 1 5 7 8 8 4 2 2 3 5 5 7 9 12 15 17 17 16 15 12 10 9 7 7 10 11 11 10 9 8 7 4 3 4 5 4 5 5 6 6 7 8 9 8 6 3 2 1 1 2 4 5 5 5 4 4 5 6 5 4 4 4 3 3 3 3 3 2 3 4 6 7 8 9 10 11 11 11 13 13 13 16 19 17 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 10 8 5 3 1 0 1 3 5 7 9 10 10 10 9 9 9 10 12 10 6 4 4 6 7 7 6 5 4 5 4 5 5 5 6 6 6 5 4 4 5 6 6 6 5 6 7 8 9 9 7 6 5 4 5 7 9 8 6 4 3 4 4 4 3 4 4 4 5 5 6 6 8 9 9 8 7 7 7 7 7 8 8 8 7 6 5 4 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 5 7 10 14 16 17 14 7 6 12 10 5 10 17 21 20 15 8 1 -8 -13 -14 -9 -2 3 3 2 2 3 5 7 8 7 7 12 18 17 13 13 12 11 14 10 7 8 9 11 13 13 9 5 6 2 -5 -5 -1 2 2 2 3 2 2 8 5 -1 -3 -1 2 3 3 7 3 -3 2 7 7 3 5 13 13 12 13 12 9 10 11 6 0 8 12 3 -0 -1 1 10 10 11 9 7 8 5 -2 -1 11 20 8 -0 4 -2 6 23 20 11 6 6 9 10 10 11 11 10 8 4 3 4 6 6 7 6 6 11 23 27 13 4 6 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 6 5 5 4 4 5 6 6 6 6 6 6 6 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 8 9 9 9 8 7 6 6 6 7 8 9 10 11 12 14 14 12 11 10 11 11 10 8 5 1 -3 -3 7 13 9 7 6 7 9 8 4 6 13 17 13 10 9 5 3 3 6 6 6 6 6 7 7 7 7 8 9 9 9 8 6 4 5 7 8 8 6 4 3 2 3 4 5 6 8 10 12 13 14 15 13 11 10 8 6 6 8 9 9 9 10 9 7 6 6 7 6 5 5 5 6 6 8 11 12 10 6 3 1 0 2 3 4 5 5 5 4 4 5 4 5 5 5 5 4 3 2 3 3 3 4 5 5 6 7 9 9 9 11 13 12 11 14 19 20 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 11 10 7 4 1 0 0 1 3 5 7 9 9 10 9 10 10 10 11 9 4 2 2 4 6 7 7 6 5 4 4 4 5 5 5 6 6 5 4 3 3 3 4 5 6 6 7 8 10 10 8 6 5 4 5 7 9 9 7 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 6 6 7 7 7 8 8 8 8 8 6 5 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 7 12 17 19 18 15 11 4 1 8 10 4 6 11 13 11 9 -2 -16 -23 -18 -10 -3 1 3 2 1 2 4 6 7 8 9 11 17 19 14 9 9 10 10 10 6 5 9 9 13 15 11 6 8 12 7 3 6 8 4 1 3 7 6 6 11 6 -2 -5 -4 -4 -4 3 8 5 0 4 9 7 3 6 14 16 21 22 15 10 12 12 5 5 18 19 11 6 1 5 11 8 5 7 8 7 2 -7 -7 7 13 11 10 12 9 11 20 19 11 6 7 9 10 10 10 11 9 6 3 2 5 7 8 8 6 5 9 22 28 15 6 7 8 7 7 7 7 6 6 6 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 6 6 5 5 6 6 6 5 5 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 5 6 6 6 7 7 8 8 8 8 6 6 5 5 6 7 8 9 10 11 13 14 13 10 9 9 9 9 8 7 5 2 -5 -10 -4 6 8 6 6 6 8 7 2 -3 5 16 16 10 6 3 2 3 5 6 5 6 6 7 7 8 7 7 7 8 8 7 6 5 5 6 7 7 7 6 4 2 2 4 5 6 6 7 8 8 8 8 9 9 9 8 8 7 7 8 9 10 11 11 10 9 9 9 7 6 5 6 6 5 7 11 15 14 10 4 1 -0 1 2 3 4 5 5 5 4 4 4 5 5 6 5 5 4 3 2 3 3 3 4 4 4 6 8 9 8 10 13 11 10 12 16 16 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 6 5 5 6 8 10 10 11 11 11 12 12 10 9 8 7 7 7 5 4 4 4 5 6 8 10 11 11 10 8 5 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 3 3 5 7 9 10 10 10 9 7 5 4 5 6 6 6 5 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 5 5 5 5 6 7 7 7 7 7 7 6 6 7 10 13 12 6 -0 -3 -6 -7 3 12 13 13 10 7 3 -3 -5 5 7 -1 1 6 9 10 12 15 16 16 15 15 16 18 23 24 21 19 16 11 8 4 3 6 9 6 2 5 12 11 10 11 14 14 8 2 1 5 7 6 6 6 3 3 7 6 0 -6 -1 2 7 12 13 9 8 9 8 6 5 5 1 0 3 5 7 10 5 1 5 13 18 14 7 11 14 12 12 6 2 7 16 14 3 3 9 7 3 2 7 7 5 7 11 13 8 4 5 7 10 10 9 8 7 6 6 4 5 8 10 10 8 6 3 3 4 4 3 3 5 9 18 25 22 15 8 4 5 7 6 5 5 4 5 5 4 4 5 6 6 5 4 4 6 9 10 7 4 4 5 5 5 6 6 5 5 4 4 4 5 5 6 7 7 6 4 4 4 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 6 5 4 4 3 3 4 4 4 4 3 3 4 4 4 3 3 3 5 7 9 12 15 15 12 7 4 4 3 4 6 7 3 3 5 5 5 4 3 3 4 5 5 6 6 5 5 3 1 3 6 7 7 7 8 9 9 8 8 8 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 7 7 7 7 7 7 8 8 9 8 7 7 6 5 5 5 6 7 7 6 5 6 8 9 10 10 10 10 10 11 12 14 15 16 18 17 15 15 16 17 17 15 13 10 8 7 6 6 5 6 7 7 7 7 6 5 3 2 2 4 5 4 4 4 4 4 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 5 5 5 7 7 9 10 10 11 10 10 9 8 8 9 9 8 7 6 5 4 5 6 8 9 10 9 8 7 5 4 4 4 3 3 4 4 4 5 5 5 5 5 4 3 4 5 7 9 10 10 10 8 7 6 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 8 8 6 5 5 5 5 5 6 7 7 7 7 6 10 15 14 11 7 5 4 4 5 10 9 6 4 3 6 7 5 5 8 9 9 19 24 23 21 20 18 16 14 12 14 17 21 22 17 14 13 12 11 8 6 6 11 15 11 4 2 4 5 6 8 11 11 10 8 4 6 4 3 6 6 3 5 10 4 -1 -1 -2 1 6 8 8 6 6 10 11 9 4 5 5 5 5 6 10 12 7 5 9 14 18 14 5 6 10 10 13 0 -5 2 7 3 -0 3 8 6 5 9 11 7 5 7 12 14 11 6 4 6 9 9 8 8 7 7 6 5 5 7 9 9 9 8 5 3 2 2 2 3 5 8 13 15 18 20 16 9 6 5 5 5 4 4 4 4 4 5 6 6 6 5 3 3 7 11 11 8 5 5 5 6 6 6 6 6 5 4 3 3 4 5 5 7 7 7 6 5 5 5 5 4 4 5 5 5 6 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 6 9 12 15 17 13 8 4 2 3 5 10 11 3 2 4 5 4 4 4 4 4 6 6 5 5 5 4 3 1 3 6 7 8 8 8 8 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 8 8 8 7 6 7 8 8 7 7 6 6 8 9 10 9 8 7 6 5 4 4 4 5 5 4 3 3 4 6 7 8 8 8 8 8 10 12 12 13 13 12 11 12 14 16 17 17 16 14 12 10 8 7 6 6 6 7 7 7 7 6 4 2 2 3 4 5 4 4 4 4 4 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 6 5 4 4 5 6 7 8 9 9 9 8 8 8 9 9 9 9 8 6 5 5 5 6 8 9 8 8 7 6 6 6 4 4 3 4 5 5 6 6 6 6 5 5 4 4 5 6 8 10 10 9 7 7 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 6 5 5 7 9 10 8 7 6 5 5 4 5 6 7 7 7 7 9 7 3 6 8 8 7 6 6 7 8 5 -1 2 11 12 7 5 6 9 15 25 29 26 21 17 12 9 8 10 14 19 19 13 9 8 9 10 9 7 9 12 18 21 13 6 3 2 1 2 5 7 7 12 15 12 9 5 4 6 6 7 10 10 2 2 5 4 6 6 5 3 2 5 10 10 11 5 3 5 9 6 5 8 8 8 7 7 11 15 14 7 4 4 11 14 6 7 7 1 -4 -3 3 6 4 4 9 10 6 4 7 12 16 16 11 7 8 9 8 7 6 7 10 10 6 5 7 8 8 8 9 8 4 2 1 1 3 5 6 8 10 15 20 19 17 14 7 4 4 4 3 3 3 4 5 6 6 5 4 3 4 8 11 11 8 6 5 6 6 6 6 6 6 6 5 3 4 6 5 3 5 7 6 7 7 6 5 5 5 5 5 5 5 6 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 6 6 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 6 8 11 15 17 15 9 4 2 3 5 7 7 3 2 4 4 4 5 5 5 5 7 7 5 5 5 4 2 2 4 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 9 9 8 9 9 9 8 8 8 8 9 8 6 5 6 7 9 10 10 8 6 5 4 4 4 3 4 4 4 3 2 2 3 4 4 5 4 4 5 5 5 7 8 8 7 8 10 12 14 16 18 19 18 17 15 12 10 8 7 7 6 6 7 7 7 5 4 3 3 4 4 4 4 3 3 4 4 5 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 10 8 6 5 4 4 4 5 5 7 7 7 8 8 8 8 9 9 9 9 8 7 6 6 6 7 8 8 8 8 8 8 7 6 5 4 4 5 6 6 6 6 5 6 6 5 5 5 6 8 10 9 8 7 6 5 4 4 5 5 6 6 7 8 7 7 7 6 5 5 5 5 5 5 5 5 6 7 6 5 5 7 9 10 9 7 5 5 5 5 6 6 8 8 7 7 5 -2 -1 5 7 7 7 6 5 7 11 5 -3 6 19 19 8 4 10 17 21 23 20 13 8 4 3 3 6 12 18 19 13 8 8 10 10 11 10 8 7 12 18 20 12 8 6 5 3 0 4 7 10 12 14 15 14 11 11 12 9 10 11 7 4 4 4 5 7 8 5 -1 -2 7 15 10 7 7 3 4 6 2 1 6 7 7 4 2 5 8 11 11 6 3 10 10 13 18 13 1 -7 -5 3 8 9 6 5 6 3 3 8 13 17 17 14 10 9 9 8 7 5 6 10 13 11 8 8 8 7 6 7 9 8 4 1 2 4 4 5 6 8 11 13 17 24 23 12 6 6 4 2 2 3 4 5 6 7 5 4 3 4 7 9 9 7 6 5 6 6 6 6 6 7 6 5 4 5 7 5 2 3 5 5 6 8 9 7 6 5 5 4 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 7 10 14 17 16 11 5 2 3 4 6 6 5 5 5 4 4 5 5 5 6 7 7 6 5 4 1 -2 1 6 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 8 6 6 6 8 9 10 10 9 6 5 4 3 4 4 4 4 5 5 4 2 2 3 3 4 3 4 4 3 3 3 4 6 6 6 7 9 11 14 16 18 20 21 20 17 14 12 10 7 6 5 6 7 7 6 5 4 4 4 4 4 5 4 3 3 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 13 12 9 8 7 6 5 4 4 5 5 6 7 7 7 7 7 7 8 9 9 9 8 7 6 6 7 7 7 8 9 9 9 8 6 5 5 6 7 7 7 6 5 5 5 6 5 5 5 7 8 9 8 7 6 4 3 4 4 5 5 6 8 9 9 9 8 7 5 5 5 5 5 5 5 6 7 7 6 5 5 6 9 10 9 6 5 4 4 6 7 7 8 8 8 8 7 7 8 7 6 5 5 5 4 7 9 2 -3 9 27 31 21 14 19 18 12 6 -0 -4 -5 -2 1 6 14 19 19 14 7 5 8 9 10 11 13 12 8 9 13 14 10 8 7 6 7 5 6 7 10 8 8 11 13 14 15 14 12 12 10 7 5 2 3 3 5 14 7 -0 3 15 19 12 9 13 9 3 -0 -2 1 6 8 5 3 4 6 6 7 9 7 9 11 7 12 14 10 4 -2 -1 5 10 13 11 6 4 2 2 8 12 13 14 13 10 8 8 8 7 5 5 7 11 13 12 10 9 8 5 4 7 10 8 5 4 3 4 4 4 6 6 8 14 23 22 12 12 14 7 2 1 2 4 5 6 6 6 4 3 4 6 8 8 7 5 4 5 6 6 6 7 7 6 5 5 5 6 5 2 2 5 6 6 9 11 10 8 6 5 4 5 6 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 5 5 5 6 5 6 5 6 6 6 5 4 4 4 4 4 4 4 4 4 5 6 5 5 5 4 4 4 4 5 6 7 9 13 16 16 11 6 3 2 4 7 10 8 6 5 5 6 5 5 6 6 7 6 6 5 4 -0 -6 -2 7 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 7 7 7 7 6 7 8 8 8 8 9 9 9 9 9 9 10 10 9 10 11 11 8 7 7 8 8 9 10 10 9 7 5 4 4 5 5 5 5 6 7 6 5 4 4 4 5 4 4 4 4 3 3 3 3 4 4 5 7 8 10 12 16 19 21 22 20 18 16 13 10 7 5 6 7 7 7 5 5 5 6 6 6 5 5 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 19 15 9 6 3 3 8 17 20 14 12 13 13 9 7 5 7 10 12 17 20 20 15 13 10 12 13 14 16 17 12 0 1 2 -3 4 10 13 11 7 4 16 16 11 13 14 16 15 15 13 12 12 12 9 9 12 15 16 16 17 18 20 22 22 20 16 13 11 12 14 13 12 9 9 9 9 9 9 11 15 20 22 18 11 7 6 7 9 10 11 12 12 11 11 11 11 9 9 12 12 11 10 10 13 13 11 8 7 8 10 11 12 13 13 13 12 11 11 12 13 14 14 13 12 12 12 12 12 11 11 11 11 11 11 11 12 13 13 13 13 14 15 13 10 9 7 7 12 18 21 17 11 11 15 16 16 16 16 14 12 12 13 14 15 13 12 13 14 15 15 14 14 14 13 12 11 12 13 12 11 11 12 12 12 12 12 12 13 14 12 11 11 11 13 14 15 15 13 12 12 13 13 13 13 13 13 12 12 13 13 12 12 13 15 18 18 16 14 13 13 14 15 15 14 14 14 15 15 15 15 16 15 16 16 15 15 17 17 17 16 16 15 16 16 15 14 13 13 16 18 16 15 15 15 16 17 17 17 16 17 16 16 16 16 15 16 16 16 16 16 16 16 15 14 14 13 12 12 11 12 11 10 10 9 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 14 17 18 18 15 12 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 12 12 12 12 11 11 12 11 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 15 18 17 16 15 14 14 14 14 13 12 10 10 11 11 12 12 13 13 14 14 14 15 15 16 16 16 15 12 10 12 13 14 13 13 12 12 13 13 11 8 4 3 8 15 21 22 19 16 13 12 12 13 13 13 12 12 12 11 12 12 12 12 13 13 11 10 12 13 14 15 15 14 14 13 13 14 14 15 16 16 15 15 16 17 18 17 16 17 18 17 15 14 13 11 12 13 14 15 15 14 14 14 15 15 16 16 17 16 15 15 15 13 10 11 11 13 nan
nan nan nan nan nan nan nan 15 19 14 11 8 8 11 13 11 7 6 11 17 20 21 19 13 8 9 12 18 19 17 15 10 4 -1 -1 3 10 14 15 11 5 6 11 13 14 13 13 12 14 17 15 13 13 12 12 13 16 18 20 19 17 16 17 19 20 21 22 21 18 15 14 14 12 10 10 9 9 10 9 8 10 16 21 21 16 7 3 5 8 11 11 11 10 10 11 11 11 10 9 9 9 10 11 12 13 12 9 10 11 11 11 11 12 12 12 12 11 10 11 12 13 15 15 14 13 12 11 11 11 10 10 10 11 12 11 11 12 13 13 13 13 14 16 15 11 11 12 13 14 15 14 12 11 12 15 16 16 16 14 12 12 12 13 15 16 14 12 11 12 13 15 15 15 14 13 13 13 13 13 12 11 11 11 11 11 11 11 12 15 15 13 12 12 12 14 15 15 15 14 13 13 13 13 13 12 12 12 12 13 13 12 11 9 8 11 19 21 16 15 15 15 15 15 14 15 14 14 13 14 14 16 17 17 15 15 14 15 17 18 18 17 16 15 16 17 16 15 13 12 14 16 15 14 15 16 17 19 20 20 18 15 14 14 14 14 15 14 14 14 14 14 14 14 14 14 14 14 14 14 13 12 11 11 11 11 10 10 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 15 14 14 13 10 8 9 8 8 9 9 9 8 9 9 9 10 11 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 14 16 16 15 14 15 15 15 15 13 11 9 8 9 11 12 12 13 13 13 13 13 13 13 14 15 16 16 16 16 18 19 19 15 13 13 13 13 12 13 11 11 11 16 21 26 23 16 14 14 13 12 13 13 12 12 12 13 13 12 12 13 13 13 13 13 13 12 12 13 14 15 15 13 13 14 14 14 15 15 15 15 16 18 18 18 16 11 12 16 18 18 15 13 12 13 14 14 14 15 15 14 14 14 14 15 16 17 16 16 15 13 13 12 11 11 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 10 7 5 12 17 19 17 15 12 11 7 10 20 17 12 11 12 11 9 7 8 12 17 19 17 11 8 6 8 10 11 12 12 13 15 14 15 14 12 12 12 14 18 21 19 16 13 12 11 11 15 19 21 19 16 13 12 11 10 10 10 10 9 9 6 6 9 14 17 16 10 5 6 9 12 12 11 11 12 13 13 12 12 11 9 9 10 11 12 12 9 8 10 11 12 12 12 12 12 12 11 11 11 11 12 13 14 15 14 12 12 11 11 11 10 10 11 11 12 12 12 12 12 12 12 13 15 16 13 12 13 14 14 12 10 10 11 13 14 14 15 15 14 14 13 12 11 13 15 16 15 12 11 10 11 13 15 14 13 13 12 12 14 14 13 11 11 11 10 10 11 11 12 14 14 13 12 10 8 9 15 24 25 18 14 12 12 13 12 12 12 11 12 14 14 13 11 10 9 10 15 16 15 15 15 16 16 15 14 13 14 14 13 13 13 15 17 18 17 15 13 13 14 15 18 18 15 14 15 15 16 17 18 16 15 15 16 16 15 14 13 15 19 21 19 16 15 14 14 14 15 15 15 15 14 15 15 14 15 14 15 16 15 15 14 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 11 12 12 12 11 11 11 11 11 10 11 12 13 14 17 17 14 11 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 12 12 12 12 12 11 12 12 11 11 11 10 10 11 11 11 11 12 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 14 15 15 13 13 16 15 12 10 7 5 5 7 11 12 13 12 12 12 12 13 13 13 13 13 14 15 17 20 21 21 21 18 15 14 13 13 12 13 13 13 13 15 17 18 18 14 12 11 12 13 13 13 13 13 13 14 14 14 13 13 13 13 12 13 13 13 13 13 14 14 15 14 13 14 15 15 15 15 14 14 14 16 19 20 19 14 9 9 13 17 16 14 13 14 14 14 14 14 15 16 15 15 15 15 15 15 16 16 15 15 14 13 13 12 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 6 6 6 8 15 18 16 10 10 14 21 21 13 9 10 14 16 14 11 9 8 6 8 10 12 14 14 14 11 13 14 11 9 10 13 17 20 19 14 10 8 6 7 11 15 18 17 13 11 10 10 10 10 10 10 9 9 7 7 9 11 13 13 13 9 9 11 13 14 13 13 13 14 14 13 13 12 11 11 11 11 11 10 8 7 9 10 12 11 12 12 11 11 11 11 11 12 12 12 14 14 13 13 12 12 11 11 12 11 11 12 13 13 12 12 11 12 12 13 14 14 13 13 14 14 13 11 8 9 12 13 15 16 15 14 14 13 12 13 13 13 15 15 15 12 11 10 11 12 13 12 12 12 12 12 13 13 14 13 12 11 11 10 10 11 12 13 13 13 12 9 4 1 5 18 29 29 25 18 13 12 12 12 11 11 12 13 13 13 12 13 12 11 12 12 13 14 15 15 14 15 15 15 14 14 14 13 12 13 15 17 17 16 14 12 12 13 16 17 16 15 13 12 12 17 21 17 15 15 15 15 14 12 7 5 9 13 17 18 17 17 16 15 15 16 16 16 15 15 15 15 15 16 16 16 15 14 14 13 12 12 12 12 12 11 11 11 10 11 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 13 15 16 17 16 14 12 9 8 8 9 9 9 10 9 9 9 9 9 9 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 11 11 11 11 11 11 11 12 10 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 14 14 15 15 14 11 7 4 4 5 8 11 13 12 12 12 11 11 13 13 13 13 12 12 13 15 19 23 23 18 15 13 13 14 14 13 13 13 13 13 12 11 11 10 10 11 12 13 12 14 15 15 14 13 13 14 14 14 14 13 12 13 13 12 12 12 13 15 16 16 14 13 12 13 15 16 15 15 15 14 15 16 18 21 18 13 10 11 13 13 13 13 14 13 13 13 14 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 13 14 14 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 15 10 12 19 17 12 6 7 9 11 11 10 9 11 9 8 11 13 13 13 12 11 13 13 10 10 10 12 14 17 18 14 11 6 3 4 7 12 14 12 10 10 9 9 10 10 9 9 10 10 10 10 11 11 12 12 11 8 8 11 14 14 13 12 12 13 13 13 13 13 12 12 12 12 12 10 8 7 8 10 11 11 12 12 11 10 10 11 12 12 12 13 13 13 13 13 13 12 11 11 11 12 13 12 13 14 14 12 11 12 13 13 13 13 12 12 13 13 13 11 10 10 11 14 15 15 15 13 13 13 13 13 14 14 15 15 14 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 12 12 12 12 12 11 7 1 -2 2 13 22 28 28 22 15 12 12 12 11 11 12 13 13 13 14 13 12 12 12 13 13 15 14 12 13 15 16 16 16 15 16 15 14 15 16 17 16 15 14 12 12 14 17 18 18 16 13 10 13 19 18 15 14 14 14 16 16 11 7 7 8 12 15 16 17 17 16 16 16 16 16 16 15 14 15 15 15 15 14 14 14 13 12 12 12 12 12 12 11 11 12 12 12 13 12 13 13 13 12 12 12 12 12 12 12 12 12 12 13 14 15 16 16 15 11 9 9 9 10 10 10 9 10 9 9 8 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 11 11 11 12 11 10 9 8 9 10 10 11 11 11 11 11 11 12 12 12 12 13 14 15 16 15 14 12 9 8 7 9 12 13 14 13 12 11 11 11 12 13 13 13 13 12 12 14 15 19 21 19 16 13 13 13 12 12 13 13 13 13 12 11 10 9 10 11 13 13 13 14 14 15 14 13 12 13 13 13 14 15 13 12 13 13 11 10 12 15 16 17 15 14 12 12 13 14 15 16 16 15 15 15 15 17 20 17 12 11 12 13 12 12 13 13 13 13 13 14 15 16 16 15 14 14 14 15 15 15 15 15 14 13 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 13 16 15 13 12 11 9 9 9 10 11 12 13 13 14 13 12 12 12 13 16 18 18 15 10 5 2 4 8 10 9 9 10 10 10 11 11 10 9 9 10 10 10 11 12 12 11 9 7 7 10 12 13 12 10 10 12 13 13 12 12 12 12 12 12 10 7 6 6 8 9 10 12 12 11 10 10 11 12 12 13 13 13 13 13 13 13 13 12 11 11 11 12 13 14 13 15 14 12 11 12 13 13 13 12 11 12 11 12 12 12 12 14 15 15 13 12 12 13 13 13 14 14 14 14 15 15 14 13 12 12 13 12 12 12 12 11 12 13 13 13 12 12 12 12 12 12 11 12 12 12 12 12 11 12 14 10 2 -2 -0 7 16 30 31 20 13 13 13 12 12 12 13 13 14 15 14 13 12 12 11 12 15 14 11 10 12 17 21 19 16 17 17 16 17 16 15 14 14 14 13 12 13 14 16 17 16 13 12 14 15 16 16 16 15 15 16 17 17 14 11 9 9 10 12 16 16 16 16 15 15 16 16 15 14 15 14 14 13 13 13 13 13 12 13 13 13 13 12 12 13 13 12 13 13 13 13 13 13 12 12 12 12 13 13 13 13 15 16 16 18 17 14 12 10 9 10 10 10 10 10 10 9 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 10 9 8 9 10 11 12 11 10 10 9 9 10 10 10 11 11 12 11 12 12 12 13 13 12 14 16 17 16 14 12 11 10 10 10 12 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 14 15 19 21 19 15 14 13 12 12 13 13 13 13 13 11 10 10 10 12 13 13 13 12 12 13 14 13 12 12 13 13 13 14 14 14 15 15 13 11 11 14 16 17 16 14 13 12 13 13 13 14 15 15 15 15 16 16 16 18 18 15 13 11 11 12 13 15 14 12 11 12 13 15 15 15 15 15 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 11 13 13 12 12 12 12 12 14 15 17 19 18 18 18 19 15 9 6 6 8 9 11 14 14 13 12 12 12 12 12 12 10 10 12 14 15 14 11 8 9 10 11 12 11 10 10 12 13 12 12 11 12 13 13 11 8 6 5 6 8 9 10 10 10 9 10 11 11 12 12 13 13 12 12 13 13 13 12 12 11 11 12 13 14 15 14 14 14 12 10 11 12 12 12 13 12 12 12 12 12 12 14 16 16 15 13 12 12 13 12 13 14 14 14 15 15 14 14 14 14 14 13 13 13 13 13 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 12 12 13 14 11 7 2 -1 3 24 35 27 20 14 13 12 12 12 12 13 14 14 15 15 14 13 13 13 14 14 11 6 5 13 23 22 17 18 17 16 17 17 15 13 11 12 13 13 12 13 13 13 13 12 13 13 14 14 14 14 14 14 14 14 14 13 11 10 10 9 10 12 14 15 15 15 15 15 16 16 16 16 15 15 14 14 14 14 13 13 13 12 13 13 13 13 13 13 13 13 13 12 13 13 14 14 15 15 16 17 17 18 19 20 20 18 16 14 11 9 9 9 9 10 11 10 10 10 10 10 10 9 10 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 12 13 15 14 12 10 9 7 7 8 10 11 10 11 11 11 11 11 10 10 10 11 12 12 13 13 13 14 14 14 14 15 16 16 12 9 9 10 10 10 10 11 12 12 12 12 12 12 13 13 13 13 13 13 12 13 13 15 17 21 22 21 17 14 12 12 13 13 13 13 12 11 10 9 9 10 10 11 12 12 12 11 12 12 13 14 14 14 14 14 14 15 15 14 14 14 13 13 15 15 15 14 13 13 13 13 13 13 14 15 16 15 14 14 14 15 17 18 16 13 12 12 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 9 12 15 17 20 24 25 24 23 24 22 24 28 28 30 31 29 27 27 27 24 22 21 21 24 28 28 27 27 26 23 18 15 15 16 16 16 17 18 18 17 16 15 14 12 10 11 11 10 9 8 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 12 13 19 19 9 2 0 0 0 0 0 0 0 0 1 2 3 6 14 22 31 38 41 40 40 39 38 36 33 23 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 1 10 20 20 8 1 0 0 0 0 0 5 9 8 3 1 1 4 8 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 14 18 22 38 48 43 28 20 19 21 28 37 46 56 65 72 76 80 85 92 96 96 96 96 94 91 88 84 75 64 51 41 34 29 25 14 7 9 8 1 0 0 0 0 0 2 0 2 3 0 0 0 1 6 13 22 36 56 73 92 110 126 133 136 134 128 117 105 91 82 81 72 54 48 71 96 104 102 96 89 79 65 50 44 46 50 49 53 65 73 78 93 120 155 185 201 207 207 199 183 171 169 167 151 129 114 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 6 9 11 13 14 16 16 15 14 12 12 18 23 26 28 29 27 24 24 25 24 21 19 18 20 24 26 24 22 20 18 12 10 11 13 13 13 14 14 15 15 13 10 7 6 6 7 8 8 7 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 2 3 10 12 4 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 20 24 27 27 26 28 31 33 32 22 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 2 8 12 8 3 1 0 0 0 0 9 12 11 9 4 4 11 18 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 20 32 43 39 25 16 14 13 14 17 27 42 54 63 71 77 82 87 90 92 95 95 93 91 88 83 79 72 60 51 41 37 30 16 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 17 38 63 85 118 138 141 139 134 125 116 112 112 115 108 101 107 119 126 125 123 121 115 102 81 65 63 66 67 69 77 83 87 97 125 158 187 203 208 205 202 196 185 174 169 162 146 126 110 99 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 6 8 10 11 13 12 10 8 6 8 14 20 24 27 28 26 25 24 24 24 22 20 20 21 23 25 23 20 16 13 8 8 9 10 10 10 10 9 9 9 8 5 3 3 3 3 5 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 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 13 15 16 17 20 25 32 34 23 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 1 1 0 0 0 2 4 3 2 2 0 0 0 0 0 6 5 2 0 4 13 18 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 30 42 32 18 12 9 8 8 8 13 27 38 49 59 67 72 76 77 80 87 88 88 86 84 80 75 72 66 56 47 48 44 33 19 9 8 5 4 2 0 0 1 2 3 1 0 0 0 0 0 0 0 0 1 2 19 53 78 107 136 145 144 140 132 125 124 128 128 124 122 124 123 120 116 118 125 134 130 112 96 91 90 90 90 89 92 106 131 163 185 198 203 202 197 195 193 188 179 169 157 140 120 103 92 87 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 7 8 11 12 13 12 9 11 15 20 24 26 27 27 26 24 24 24 23 21 20 21 22 23 22 20 16 12 8 6 6 6 5 5 6 5 4 3 4 3 2 2 2 2 4 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 7 8 11 14 21 29 33 21 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 2 1 1 2 2 3 4 2 2 2 0 0 0 0 0 0 0 0 0 2 12 18 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 26 39 24 13 7 4 2 1 2 7 20 26 33 44 53 58 61 63 66 73 72 71 73 72 67 66 64 61 56 47 43 43 39 32 22 13 6 4 8 6 5 6 11 9 2 0 0 0 1 4 3 0 0 3 22 64 98 116 125 137 144 144 142 136 131 133 137 138 133 126 119 107 95 93 107 123 140 145 142 137 128 123 120 115 110 116 138 166 188 198 199 197 195 191 191 194 194 184 170 155 138 120 104 92 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 8 6 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 5 7 11 16 20 18 15 16 19 21 22 23 24 24 23 22 21 21 19 18 17 18 18 18 17 15 11 7 6 4 3 2 3 2 2 2 3 3 3 3 3 3 3 4 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 8 14 21 23 14 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 1 2 3 4 4 7 8 6 4 3 2 1 0 0 0 0 1 2 5 9 16 19 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 29 19 7 1 0 0 0 0 2 13 20 20 30 38 45 48 53 56 57 55 56 58 56 53 51 50 48 46 41 37 34 32 33 26 13 3 1 2 2 3 8 15 15 10 2 0 0 8 23 31 18 2 9 55 116 132 138 137 139 142 144 143 138 134 138 139 138 132 125 113 97 82 80 96 117 135 145 149 152 149 148 149 147 146 154 168 182 195 202 200 199 197 192 189 193 196 186 170 156 142 127 113 102 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 8 7 6 4 4 3 2 2 2 2 2 2 1 1 1 1 1 1 2 3 3 4 6 11 17 19 18 18 17 16 16 17 18 19 19 18 17 17 17 14 12 11 11 10 10 8 7 6 5 3 2 2 2 2 2 2 2 3 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 1 1 3 6 11 12 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 2 4 5 7 13 15 12 10 8 6 2 0 0 0 4 10 15 20 21 21 18 8 0 0 0 0 0 0 0 0 0 0 0 0 4 11 11 4 1 0 0 0 2 11 22 15 4 0 0 0 0 0 0 3 8 8 19 28 33 37 46 47 42 45 49 49 44 36 32 32 31 29 25 26 30 29 28 26 15 5 1 0 0 0 0 3 12 23 27 22 22 30 53 86 70 39 37 93 130 132 134 140 142 144 143 143 140 135 138 140 136 131 126 117 102 88 86 96 112 128 138 143 144 144 148 157 166 174 182 175 174 183 190 191 196 201 196 189 186 184 184 166 155 145 134 126 116 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 8 8 7 6 6 5 4 4 3 2 2 2 2 2 1 0 0 0 0 0 1 2 3 3 4 9 14 17 18 18 16 14 13 13 13 12 12 12 13 13 12 9 7 6 5 4 2 2 3 3 2 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 4 6 11 17 18 17 18 18 14 6 3 6 13 21 24 24 24 23 21 14 4 0 0 0 0 0 0 0 0 0 0 0 1 8 22 21 14 9 4 1 1 2 8 18 11 3 0 0 0 0 0 0 0 0 1 6 14 22 27 31 30 25 35 44 46 44 39 32 26 22 18 16 18 19 17 19 20 16 12 8 5 0 0 1 0 5 22 54 66 75 74 92 134 134 115 103 131 133 124 133 140 145 146 143 143 142 135 135 138 135 132 132 128 113 99 95 101 111 122 130 133 130 127 129 138 152 165 159 141 148 158 164 170 182 192 192 184 159 150 168 159 149 142 136 130 124 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 8 8 7 6 6 6 6 6 5 4 2 2 3 3 2 1 0 0 0 0 0 1 1 1 1 2 6 11 15 19 19 17 13 10 9 8 8 8 10 11 10 8 5 4 3 1 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 9 16 21 20 21 24 25 21 13 11 17 29 38 34 28 25 23 17 9 1 0 0 0 0 0 0 0 0 0 0 0 8 12 20 19 16 15 12 8 6 9 10 11 8 3 0 0 0 0 0 0 0 0 0 1 2 2 7 10 11 14 25 38 45 47 45 38 30 21 13 7 5 6 5 11 14 16 19 23 26 16 10 10 7 11 19 52 76 100 110 136 156 164 153 137 126 118 117 126 132 138 140 139 142 143 138 134 134 133 135 138 134 120 105 100 104 109 116 122 124 121 115 112 116 125 139 153 140 135 141 144 153 163 172 176 174 154 144 154 151 141 134 129 124 123 120 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 6 8 7 6 6 6 7 7 7 5 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 4 9 14 18 19 17 13 10 8 7 7 9 10 10 8 6 4 3 2 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 24 22 24 28 28 24 18 20 30 42 45 37 28 23 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0 6 8 12 13 12 12 12 12 14 20 20 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 26 34 43 47 45 37 28 20 13 8 8 14 12 10 12 20 34 48 46 35 26 27 28 36 52 73 90 96 110 139 162 161 147 137 132 127 125 127 130 130 132 134 135 132 132 136 138 142 140 134 120 104 98 99 104 108 112 116 114 108 102 102 107 118 131 135 134 134 138 148 156 161 164 164 163 165 159 147 134 125 120 116 117 117 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 2 4 5 5 5 5 6 7 7 7 5 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 3 7 12 17 19 18 16 13 10 8 9 10 11 10 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 21 26 25 27 31 30 26 25 29 36 41 38 30 22 17 12 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 2 3 4 7 12 23 29 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 19 25 35 39 35 34 33 32 28 23 27 19 10 5 20 45 60 63 61 52 50 53 65 75 80 90 94 99 117 146 164 162 154 147 139 127 121 124 124 121 119 120 120 125 136 142 142 138 130 115 99 97 98 100 104 107 110 109 103 98 95 96 101 113 123 126 128 136 148 156 160 159 157 158 160 155 142 127 116 108 106 107 112 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 1 1 2 2 4 5 6 6 7 6 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 18 20 21 19 16 13 11 11 11 11 9 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 21 26 26 28 31 31 30 32 34 34 31 26 20 14 10 8 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 23 20 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 18 21 24 20 29 38 43 50 52 47 36 29 24 39 60 75 86 87 77 70 74 82 92 103 107 101 97 104 128 153 157 150 150 146 129 116 115 116 118 118 118 120 128 137 141 138 132 125 108 95 97 99 101 104 107 109 109 107 102 99 96 96 102 112 118 123 132 142 152 156 154 149 148 151 149 138 124 112 103 98 99 107 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 2 1 0 0 0 1 3 4 4 4 4 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 18 21 21 20 18 16 14 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 1 1 2 3 4 4 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 22 27 27 28 29 30 31 32 30 21 11 6 5 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 16 17 16 20 27 41 56 69 68 62 63 65 72 82 91 100 100 91 84 88 94 99 107 116 117 110 109 119 137 141 131 134 140 126 114 110 112 116 124 128 131 135 136 136 136 131 124 108 99 100 102 104 107 108 108 108 109 109 106 103 102 103 108 113 118 126 133 141 149 147 140 140 146 147 139 126 113 104 99 98 101 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 6 3 1 0 0 0 1 3 3 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 16 20 22 21 20 18 16 14 12 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 5 5 5 5 5 5 5 3 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 12 23 26 26 28 29 28 27 24 18 7 1 0 0 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 10 12 15 15 31 52 69 77 80 86 93 99 103 104 103 101 94 91 101 109 109 112 126 133 130 126 125 136 131 112 120 136 125 114 110 112 117 125 130 133 135 135 136 137 138 131 115 102 99 104 109 111 110 108 107 107 109 109 106 104 107 111 114 119 124 126 129 138 139 134 134 140 146 144 131 115 104 100 97 92 92 94 nan nan nan nan nan nan 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 10 7 3 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 11 16 19 20 19 18 16 14 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 22 24 25 28 29 28 25 20 14 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 2 5 9 15 32 52 67 75 80 88 98 108 114 112 101 91 87 92 105 116 119 121 134 144 146 146 146 149 140 122 120 130 129 120 115 117 122 125 125 125 127 132 136 141 144 140 126 111 103 104 111 117 113 109 106 106 108 108 104 100 104 111 116 120 124 125 126 130 130 125 122 129 141 144 135 118 107 102 98 92 89 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 12 12 13 12 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 16 17 17 17 16 14 11 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 3 2 2 2 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 8 15 20 22 25 28 28 26 22 17 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 2 12 36 62 78 82 76 74 84 99 113 116 104 95 95 100 110 122 127 130 144 149 154 158 159 158 151 137 123 123 127 125 121 123 128 126 121 116 117 126 139 146 149 146 134 121 114 109 113 118 116 113 110 108 108 107 104 100 99 103 109 115 118 120 122 124 124 117 112 115 127 133 128 116 109 106 103 102 101 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 10 12 12 12 12 11 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 2 7 11 12 14 14 14 12 10 7 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 1 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 3 2 3 4 4 6 11 16 20 23 25 25 22 19 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 7 29 62 88 92 79 64 69 88 108 114 105 104 108 118 127 137 137 134 142 146 153 159 160 156 147 131 116 112 115 119 121 125 128 125 117 108 103 109 123 140 149 148 137 124 117 114 113 111 111 114 115 112 110 108 106 103 98 98 100 105 108 110 112 114 116 113 110 111 117 122 118 111 106 106 106 111 113 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 7 9 10 11 12 12 11 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 8 9 10 9 8 6 5 4 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 5 4 4 4 4 4 3 4 7 12 12 18 18 18 14 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 26 51 77 86 79 64 65 82 102 104 100 107 120 132 141 150 149 141 135 138 147 153 150 143 133 120 110 105 106 108 113 119 120 118 115 107 96 93 99 121 140 144 136 123 110 103 104 102 102 108 113 114 114 114 115 112 107 102 98 97 99 101 102 104 107 109 111 112 116 118 116 111 109 112 115 118 120 119 nan nan nan nan nan 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 4 6 8 10 12 12 12 11 9 5 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 7 6 6 5 4 2 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 7 7 6 5 6 5 5 5 4 4 4 5 5 7 7 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 1 8 19 36 43 48 65 85 84 66 66 79 98 103 100 105 123 137 143 149 151 146 139 139 145 146 137 126 120 117 112 108 104 103 104 112 110 110 113 110 103 94 87 101 121 134 134 125 111 101 101 101 101 105 111 116 119 123 129 132 126 119 109 100 97 96 99 101 105 107 110 112 114 116 118 117 118 124 129 129 127 124 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 10 6 2 2 2 4 6 8 10 11 12 12 9 7 5 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 1 2 2 3 4 5 6 5 4 2 0 0 0 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 7 7 7 7 6 7 6 7 8 8 6 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 2 12 22 42 51 52 62 83 88 74 69 78 94 103 104 107 121 132 133 133 135 137 141 146 149 143 130 119 118 121 123 120 112 106 105 111 108 106 107 109 108 104 96 93 104 121 133 131 117 106 102 102 103 106 111 119 122 126 135 144 140 136 127 115 107 102 101 104 106 108 109 109 111 114 116 118 120 125 133 136 136 134 134 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 9 8 5 3 2 1 2 4 6 8 9 11 12 11 10 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 4 2 1 1 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 7 8 7 7 7 9 13 13 14 15 15 12 10 7 6 6 5 4 4 4 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 4 11 18 30 46 52 59 76 88 82 73 74 84 94 104 111 118 119 114 111 109 113 124 137 146 145 134 124 122 127 132 130 122 116 116 117 113 106 102 102 105 107 104 94 92 107 126 134 126 109 100 99 100 104 108 116 120 124 130 135 135 136 134 126 119 114 111 112 111 112 112 113 113 111 111 112 115 120 127 138 142 140 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 5 5 4 3 2 4 5 6 6 7 11 14 14 10 4 1 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 1 3 4 4 2 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 9 8 8 8 8 8 8 10 13 17 20 21 20 19 18 16 11 8 7 6 4 4 4 4 5 6 6 6 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 1 1 3 6 10 14 20 36 46 52 67 85 86 75 69 71 80 91 104 110 105 98 94 94 97 102 116 131 142 141 134 127 127 131 131 126 123 123 122 119 112 103 99 99 104 108 100 89 94 111 124 124 114 104 101 102 103 104 110 116 120 122 124 128 134 137 133 128 126 125 124 123 120 120 118 116 112 109 109 111 116 124 135 140 136 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 2 4 5 5 5 6 7 7 6 6 8 14 18 16 9 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 8 9 10 9 8 8 8 11 14 15 17 20 23 23 22 22 22 20 16 11 8 6 5 5 4 4 5 6 6 6 5 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 9 10 9 7 4 5 8 12 14 24 35 43 55 74 84 77 68 64 68 77 88 97 94 89 87 88 91 94 100 110 123 132 134 131 127 126 126 126 125 125 126 125 120 112 105 99 100 107 107 97 94 100 114 120 117 109 107 106 104 103 106 110 114 114 115 121 131 138 139 136 134 134 137 139 136 132 124 118 116 114 112 112 118 126 133 135 132 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 2 0 0 2 3 4 4 5 6 8 8 6 8 14 21 23 16 9 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 9 9 9 10 10 10 8 7 7 8 10 13 15 17 21 25 26 25 24 22 21 19 16 13 9 7 6 5 5 6 6 6 6 5 6 6 6 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 0 0 0 0 0 0 3 8 10 12 13 13 11 8 5 4 6 10 11 14 22 32 41 56 73 78 70 64 64 71 80 87 89 88 88 88 89 92 94 96 102 111 118 122 123 123 123 124 124 120 119 124 125 122 117 108 101 104 107 102 100 100 111 123 126 120 114 109 106 103 102 102 104 106 109 113 124 135 142 142 137 135 141 149 150 148 139 131 128 126 123 124 131 139 141 138 134 129 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 4 1 0 0 1 1 1 2 4 6 7 6 7 12 20 25 20 15 12 10 7 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 9 9 8 10 10 9 8 7 7 7 8 8 10 13 16 22 27 27 25 22 20 18 15 11 8 8 7 6 6 7 7 7 6 6 6 6 6 6 6 7 5 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 12 13 14 14 11 10 8 6 8 10 10 8 11 19 28 38 56 75 73 65 64 69 78 84 88 92 92 91 89 90 90 90 92 96 100 105 109 112 116 118 120 117 115 120 121 122 123 118 110 106 104 101 99 99 108 121 131 131 123 114 109 106 102 97 95 98 108 110 118 130 138 143 140 136 138 144 153 159 161 157 148 138 131 134 146 156 158 153 147 137 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 13 9 6 3 2 1 0 0 0 1 2 2 3 5 9 16 21 21 16 12 10 8 6 5 5 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 7 10 10 10 9 8 9 9 8 8 7 6 7 7 7 6 7 9 12 19 24 23 21 16 12 9 8 8 8 6 6 6 7 7 7 6 7 7 6 6 6 5 6 5 7 7 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 1 1 2 3 5 8 13 17 17 14 11 10 10 12 13 12 8 4 2 16 26 40 63 71 68 65 68 77 85 92 99 102 100 95 92 89 88 88 90 91 92 94 97 100 103 106 108 109 114 114 114 115 116 115 112 106 101 96 96 104 116 129 135 131 121 114 110 106 101 97 97 107 113 121 128 133 138 139 134 131 135 145 159 172 172 157 139 131 134 147 160 169 174 172 159 136 nan 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 14 11 8 6 4 2 0 0 0 0 0 1 3 6 10 14 14 12 9 6 5 4 5 6 6 6 7 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 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 1 5 9 11 13 12 11 10 9 9 8 8 7 6 6 6 6 7 6 6 6 6 11 16 17 14 10 7 7 7 6 6 6 6 7 8 7 7 7 7 6 7 7 7 6 6 5 5 6 7 6 5 4 3 4 4 4 2 0 2 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 1 4 7 3 1 2 2 8 16 21 21 17 13 11 12 15 15 14 10 5 0 6 16 29 46 61 67 66 65 72 83 94 103 109 111 106 96 87 85 85 86 87 89 91 91 92 91 92 95 99 103 105 104 104 106 109 113 112 106 100 98 102 110 124 133 134 130 121 113 107 103 102 103 108 113 122 132 136 140 140 130 124 129 139 151 162 164 149 131 124 129 142 155 169 181 185 179 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 16 15 13 11 9 7 5 2 0 0 0 0 0 2 4 6 7 9 8 6 3 3 3 4 5 6 6 9 13 12 8 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 2 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 0 0 0 0 0 0 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 10 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 1 1 0 0 0 2 9 13 15 16 13 12 12 11 10 8 7 7 7 6 8 10 10 9 10 10 9 9 11 11 9 7 7 7 6 6 6 5 6 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 7 6 7 8 7 7 6 6 2 1 0 0 0 0 0 0 0 0 1 5 9 7 2 1 4 12 20 23 23 19 15 11 11 14 15 14 10 7 1 1 5 17 31 47 61 66 64 66 73 84 97 107 112 116 102 83 78 79 80 80 83 90 95 95 92 91 91 93 96 96 95 94 95 96 101 108 112 108 104 103 105 117 130 134 134 133 124 113 106 105 106 106 107 117 131 139 144 144 134 124 126 136 144 145 144 137 123 120 126 138 151 164 173 178 175 164 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 14 13 12 10 8 8 8 7 4 2 0 0 0 0 1 2 4 7 10 9 6 4 5 5 4 4 6 9 14 16 13 8 6 5 5 3 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 6 12 15 16 16 13 13 12 11 9 7 7 6 5 5 10 16 19 20 20 18 15 11 8 8 7 7 7 6 6 6 5 6 6 7 7 6 6 6 6 7 6 6 6 6 6 7 7 7 8 9 12 14 14 12 9 7 7 8 9 12 12 12 13 12 8 2 0 0 0 0 0 0 0 0 0 3 9 11 6 1 7 17 22 22 21 17 12 8 6 7 10 12 9 4 1 0 0 7 18 30 45 59 67 68 69 72 83 99 110 114 107 85 72 70 71 69 71 79 89 95 94 92 89 87 86 86 85 84 86 89 91 100 111 115 113 108 106 115 128 132 133 136 138 130 118 113 110 106 104 110 122 133 141 144 138 126 124 134 137 128 124 124 118 118 126 139 151 160 164 163 160 157 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 13 10 9 7 5 6 7 7 6 5 2 0 0 0 0 0 1 5 11 14 14 11 10 10 8 6 7 9 13 15 14 9 6 5 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 3 6 8 12 14 16 16 15 13 12 11 9 8 7 7 6 5 6 10 15 19 22 25 25 21 13 6 6 6 6 7 6 6 6 6 5 6 6 6 5 5 5 6 7 8 8 7 6 7 8 9 10 12 16 20 21 22 21 18 14 11 14 16 18 18 18 18 16 12 8 3 1 0 0 0 0 0 0 0 1 7 13 7 1 7 19 21 19 18 16 12 8 4 4 4 5 5 2 0 0 0 2 6 15 28 44 61 74 75 67 70 86 108 118 116 96 73 64 64 62 60 64 76 86 90 89 86 82 78 76 74 72 74 82 89 95 103 112 116 116 117 123 129 131 129 128 134 139 137 130 120 112 105 106 116 124 132 136 130 121 120 126 131 127 121 120 115 113 124 141 154 162 161 156 150 148 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 14 11 8 6 3 4 5 6 6 6 3 1 0 0 0 0 0 2 5 12 16 16 14 13 12 11 10 10 11 11 9 8 6 5 5 6 7 7 6 3 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 12 14 15 17 17 16 14 12 10 8 8 7 8 7 7 10 14 14 11 11 16 23 25 23 18 10 6 5 6 7 7 6 7 6 5 5 5 4 4 4 4 6 7 9 11 11 10 9 10 11 13 17 21 23 26 28 29 28 24 22 21 22 24 25 23 20 16 12 9 6 3 1 0 0 0 0 0 0 0 3 4 2 1 9 20 20 17 17 17 16 14 13 9 6 3 1 0 0 0 0 0 1 5 16 28 44 69 82 71 65 70 90 110 114 110 89 72 64 59 55 55 63 73 77 77 75 73 72 70 67 62 59 66 78 91 99 104 110 116 122 127 131 133 130 124 126 133 141 141 130 118 106 105 114 120 124 126 122 116 113 117 125 133 134 127 116 107 118 139 152 160 159 152 146 146 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
27 24 19 15 12 9 6 5 5 6 6 6 4 2 1 0 0 0 0 0 1 4 10 15 15 13 12 12 11 12 11 9 8 8 7 5 5 7 9 11 10 8 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 9 12 14 15 15 15 15 14 14 12 10 8 7 7 7 7 7 9 13 16 11 6 6 11 18 22 23 22 18 12 8 8 9 8 7 7 6 4 2 2 1 1 2 2 4 6 9 11 13 13 13 12 13 15 18 20 23 26 30 33 33 32 29 27 28 29 29 26 22 16 12 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 7 18 18 16 16 17 16 16 16 14 9 4 3 4 4 3 1 0 0 1 7 16 30 53 74 78 72 65 71 86 97 106 104 90 77 65 58 55 56 59 61 60 57 56 57 59 59 52 45 46 57 76 92 100 105 108 111 119 127 132 132 129 131 132 134 137 134 121 108 107 111 115 118 120 117 110 104 107 119 133 138 130 113 96 104 126 139 146 145 139 144 148 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
36 31 26 22 19 16 12 9 7 6 6 6 6 5 3 1 0 0 0 0 0 0 2 9 14 13 11 12 13 13 13 11 12 11 11 7 5 6 9 11 12 11 10 8 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 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 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 8 8 9 11 13 14 14 12 11 10 10 10 10 9 7 6 6 7 6 6 6 6 8 7 5 5 8 16 21 22 22 22 22 18 12 10 9 8 8 8 6 1 0 0 0 0 0 0 2 5 8 10 11 12 12 12 12 13 14 14 20 25 30 34 34 34 32 31 31 32 31 29 25 20 14 11 9 6 2 0 0 0 0 0 0 0 0 0 0 0 3 15 16 15 16 16 16 15 12 8 4 2 2 4 8 10 6 1 0 0 1 6 22 37 58 77 79 68 62 70 88 101 105 100 91 79 63 57 54 52 50 46 42 41 41 42 42 38 33 30 36 55 77 95 105 108 105 108 117 125 130 132 135 136 128 130 134 123 109 106 106 106 109 109 106 100 95 98 112 134 137 127 104 83 90 110 123 127 124 120 128 141 146 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
50 40 34 30 28 24 19 13 8 4 3 3 5 6 5 2 1 0 0 0 0 1 3 9 15 15 13 13 14 15 15 14 14 14 13 11 9 5 6 8 9 11 11 12 12 10 6 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 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 8 9 9 9 8 8 10 12 11 9 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 9 18 28 32 27 22 21 21 18 14 10 7 8 8 8 6 3 0 0 0 0 0 0 1 2 4 9 10 11 11 12 12 12 11 10 15 20 27 32 35 37 36 34 32 32 32 32 30 25 20 16 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 10 15 16 16 17 16 11 3 0 0 0 0 0 1 13 14 5 1 0 0 1 15 26 42 65 76 71 61 61 76 92 97 98 98 90 71 57 50 48 45 40 35 31 30 28 27 24 21 20 21 32 54 81 103 115 112 108 110 118 124 129 131 133 128 129 134 129 115 105 100 95 94 96 95 93 90 92 101 137 129 127 102 81 82 97 110 116 113 109 114 128 137 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
55 47 42 38 34 29 22 13 5 1 0 1 1 4 6 5 2 1 0 0 0 3 7 11 16 17 13 12 15 16 16 15 13 13 11 9 7 5 3 4 6 7 8 11 14 14 11 9 8 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 1 2 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 9 10 10 8 8 7 8 9 10 9 8 6 6 7 7 7 7 6 6 6 6 5 5 6 9 10 10 9 9 18 27 35 35 29 24 22 19 16 11 7 6 7 7 7 6 3 1 0 1 0 0 0 0 0 2 8 10 12 12 12 12 11 10 10 12 13 16 21 26 32 34 33 31 29 28 29 31 30 26 21 17 12 7 3 2 1 1 1 0 0 0 0 0 0 0 8 16 20 20 20 17 7 1 0 0 0 0 0 0 8 15 12 6 2 0 0 2 12 28 47 61 64 62 62 68 79 87 93 98 94 78 61 49 45 44 40 34 27 22 18 16 14 13 13 13 16 28 57 89 118 124 116 110 114 118 123 130 137 134 129 131 131 121 107 95 80 76 81 84 88 92 93 101 119 129 129 109 87 80 87 99 108 112 109 113 121 126 124 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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