Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 5 5 4 3 2 3 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 5 5 4 3 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 2 2 2 4 6 7 8 8 8 7 5 5 3 3 4 5 5 5 6 6 7 7 7 5 4 3 4 10 17 14 8 6 8 6 1 -6 4 7 1 2 7 5 7 10 8 5 6 5 2 5 9 5 5 7 5 0 5 4 -2 -3 3 10 8 4 5 12 12 5 0 3 0 -2 3 2 -1 5 4 -1 -4 -5 -1 2 5 8 5 1 5 7 5 1 -3 -1 3 5 2 4 18 33 29 13 7 6 4 4 4 5 7 9 12 13 11 7 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 3 4 4 5 6 6 7 5 4 4 5 5 4 5 6 6 7 8 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 6 5 4 4 4 4 4 6 10 19 26 18 12 9 9 7 2 -4 -9 -9 -13 -6 -0 -1 2 4 2 2 2 -0 -2 -8 -13 -11 -9 -10 -9 -4 3 6 5 5 6 8 12 17 18 17 13 8 7 7 6 6 7 7 8 10 11 10 9 10 10 10 11 12 12 10 7 6 5 5 4 4 3 3 4 5 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 3 3 4 4 4 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 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 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 5 4 4 4 4 4 3 2 2 3 4 6 7 7 8 7 5 5 4 3 3 4 5 5 6 6 7 7 7 5 5 4 7 16 20 13 8 8 12 14 8 4 5 4 4 8 9 4 3 5 8 9 10 6 6 15 14 8 6 5 3 5 11 7 -1 -2 2 9 9 3 -2 3 8 4 -3 -4 1 8 8 1 3 8 7 4 3 -0 -4 -2 3 9 6 4 4 0 -0 1 1 4 8 10 8 13 26 32 19 7 6 5 4 4 5 5 7 10 13 13 10 6 4 4 3 3 3 3 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 3 2 3 3 3 3 3 4 3 2 4 6 6 5 5 4 4 4 5 5 4 4 5 5 4 5 5 5 5 5 6 6 7 5 0 -1 2 1 -0 1 2 2 2 3 3 2 2 2 2 3 4 4 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 4 5 6 11 19 22 20 16 14 13 11 8 7 2 0 -1 1 3 7 7 6 8 8 4 2 3 -0 -5 -4 -4 -5 -3 1 5 5 5 5 4 5 7 9 12 10 5 5 5 5 5 6 5 5 6 6 5 5 6 6 6 7 8 9 9 8 6 5 5 5 5 4 4 4 5 6 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 4 4 5 5 5 5 5 5 4 5 4 3 2 1 2 3 3 3 3 3 3 2 3 3 2 3 3 3 2 1 0 1 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 3 3 2 4 5 6 7 7 7 6 5 4 3 3 3 5 5 6 6 7 7 6 5 4 4 9 18 19 15 7 7 16 17 6 5 4 0 5 10 9 3 -0 2 4 6 8 5 7 12 12 10 7 5 4 9 14 8 4 3 4 8 9 5 0 -2 -2 -0 -1 1 10 14 5 0 5 9 10 8 6 2 -2 -1 2 7 9 4 -3 -5 -2 3 7 9 9 8 13 25 31 22 10 6 6 5 4 4 5 6 8 11 13 13 10 6 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 6 6 5 4 4 4 3 2 3 3 3 3 3 3 2 2 1 0 0 4 5 5 4 4 5 6 5 5 5 5 5 5 5 5 5 5 6 6 5 6 4 -7 -12 -5 -3 -6 -6 -1 2 2 2 2 2 2 2 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 8 14 17 17 14 10 8 7 6 5 6 5 5 6 5 4 5 8 8 6 3 5 7 6 5 5 5 5 5 5 6 5 5 5 5 4 5 6 6 5 5 5 5 6 6 6 6 6 5 5 5 4 5 5 6 7 9 10 8 7 6 5 5 5 4 4 5 5 6 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 5 3 2 2 3 3 3 4 3 3 2 2 3 2 2 2 2 1 0 -0 0 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 2 3 4 6 6 7 7 5 4 4 3 3 3 4 5 6 7 7 7 7 6 4 5 9 13 13 13 7 3 9 10 1 0 6 4 2 7 8 1 -3 3 4 5 3 0 1 5 8 6 7 5 2 3 6 5 8 9 9 8 7 6 5 5 1 -1 -0 7 18 16 4 -1 3 10 13 8 3 -2 -1 2 3 7 6 -1 -4 -3 1 7 13 12 10 13 24 33 27 13 6 6 5 4 5 5 6 7 9 11 13 12 10 7 6 5 4 5 5 6 6 5 5 4 4 4 4 5 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 2 2 1 -1 -1 4 6 5 4 5 5 5 5 6 6 6 5 5 5 5 5 6 6 6 6 6 7 -3 -15 -11 -4 -5 -7 -3 2 2 2 2 2 2 3 4 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 5 5 5 4 4 5 5 5 5 4 3 3 3 3 2 3 5 9 13 13 9 6 7 6 6 8 9 10 10 7 4 3 5 7 7 6 6 6 6 8 10 10 8 8 8 6 6 5 6 5 5 5 4 4 4 5 5 4 5 6 6 6 6 6 5 5 5 5 5 6 7 8 9 9 7 5 5 4 4 4 4 5 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 4 5 4 3 3 3 3 3 4 5 5 6 7 6 4 4 4 3 4 4 4 4 4 3 3 3 2 2 2 1 1 1 0 1 1 2 2 3 3 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 3 3 4 5 5 5 6 6 5 5 5 4 4 5 5 4 3 3 5 6 6 6 5 5 4 3 3 3 3 4 5 6 7 7 6 6 5 5 7 9 9 9 8 6 7 4 0 6 7 7 1 5 10 3 -3 2 8 9 3 -1 -1 3 3 2 2 1 2 2 2 1 11 12 11 7 3 3 5 8 8 7 4 9 16 14 9 4 7 11 9 6 7 4 5 4 2 0 -2 -2 0 2 6 12 17 17 19 28 34 31 19 8 5 5 4 4 5 6 7 7 9 11 12 12 10 8 7 6 5 6 6 7 6 5 5 4 4 4 5 5 6 6 6 5 5 4 4 3 3 3 3 2 3 3 3 2 2 2 3 5 5 5 5 4 5 5 5 5 5 5 6 5 5 5 6 6 6 6 6 5 5 6 4 -5 -12 -6 6 7 2 2 2 3 2 3 3 4 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 5 5 4 5 5 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 3 2 1 0 -1 -1 -1 -1 0 3 7 10 9 7 7 7 7 9 9 10 11 11 8 7 6 9 11 10 12 13 11 8 7 8 8 8 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 8 8 7 6 5 4 4 5 5 5 5 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 2 3 4 3 3 2 2 2 3 3 3 4 5 6 6 5 5 5 4 4 4 5 5 4 4 4 4 3 2 2 2 2 2 1 2 2 2 3 2 3 3 3 4 3 3 3 3 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 6 6 7 7 7 6 6 6 6 5 5 5 5 4 3 4 5 6 6 5 4 4 4 3 3 3 4 5 6 7 7 7 6 5 5 6 7 10 12 8 7 9 4 2 11 8 6 4 2 7 5 1 2 9 11 6 2 -1 -2 -3 -1 -0 1 4 11 12 6 9 10 8 5 -1 -2 4 6 10 10 8 8 8 5 6 14 17 12 6 6 10 12 8 3 2 1 -0 1 4 6 10 15 19 24 33 39 33 21 11 6 5 4 4 5 6 7 7 8 9 10 12 12 10 9 8 7 6 7 7 7 6 5 4 4 4 4 5 6 6 6 6 5 5 4 3 3 3 3 3 2 3 3 2 2 2 2 4 6 5 4 4 5 5 5 5 5 5 5 6 5 5 5 6 6 6 7 6 5 5 5 6 3 -7 -8 4 11 7 3 3 3 2 3 3 5 6 7 6 6 6 6 7 7 6 7 7 6 6 6 6 6 5 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 2 0 -2 -5 -7 -7 -5 -6 -5 -0 3 6 7 8 7 7 7 9 8 7 8 11 15 13 10 13 15 14 14 12 9 6 5 6 7 6 6 6 6 6 6 7 7 6 6 6 5 5 5 4 4 3 3 3 3 4 4 5 5 7 7 6 6 7 6 7 7 6 5 5 5 4 5 5 5 5 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 3 2 3 3 3 2 1 2 2 2 3 4 4 5 4 5 5 5 5 4 4 4 4 4 4 5 5 4 3 3 3 2 2 2 2 3 3 2 2 3 2 2 2 3 3 3 2 2 1 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 6 7 8 8 8 8 7 6 6 6 6 6 6 5 3 4 5 6 6 5 4 4 4 4 3 3 3 4 6 7 7 6 6 5 5 5 7 11 13 8 3 6 6 6 9 2 3 6 4 4 6 7 5 9 8 4 5 5 -0 -2 1 2 2 2 12 13 8 5 8 8 4 -1 1 7 2 6 5 5 5 8 3 -3 5 18 13 6 3 5 9 10 3 0 3 4 2 4 8 12 15 20 31 40 36 22 11 7 5 4 4 4 6 6 7 8 8 8 9 11 11 11 9 8 7 7 7 7 6 5 4 4 4 4 4 5 5 6 6 5 5 4 4 3 2 3 3 3 3 3 3 2 2 3 3 3 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 7 7 6 5 5 5 5 2 -6 -8 -0 5 4 3 3 3 3 5 6 7 6 6 5 6 7 7 7 6 6 6 6 5 5 5 6 5 4 4 3 3 3 3 4 5 5 5 5 5 4 4 5 5 6 6 5 5 4 4 4 5 4 4 4 4 5 6 6 5 6 6 6 6 5 4 3 2 -1 -3 -6 -7 -6 -5 -3 -1 1 4 6 7 8 9 7 6 8 8 7 7 7 8 11 12 14 15 13 9 5 3 4 5 5 5 5 5 6 5 3 2 3 6 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 6 6 6 6 5 5 4 4 5 5 4 5 5 6 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 3 3 3 2 1 2 3 2 2 3 4 3 3 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 3 2 2 2 3 2 2 3 2 2 2 2 2 2 3 2 2 2 2 2 3 3 3 4 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 7 8 8 8 9 9 8 7 6 6 6 6 6 6 5 4 5 6 6 5 4 4 4 3 2 3 3 4 5 6 7 6 6 5 5 5 7 10 11 8 5 5 6 8 9 4 3 4 4 2 7 10 8 9 3 -1 2 6 6 3 5 4 0 -1 5 7 6 3 6 7 5 3 11 14 3 -1 -4 -2 3 13 6 -1 -1 1 3 3 -0 1 5 7 2 1 5 5 1 2 7 12 16 23 35 38 26 12 7 6 5 4 4 6 6 6 7 7 7 8 9 10 11 10 9 8 7 7 7 7 6 5 4 4 3 3 5 5 5 5 5 5 5 4 4 3 3 3 4 4 3 3 3 2 2 3 3 2 4 6 6 5 5 5 5 5 5 4 5 5 5 6 6 5 5 5 6 7 7 5 5 5 6 7 2 -4 -4 2 4 3 3 3 4 6 7 7 6 5 5 6 6 7 6 6 5 4 5 4 4 5 6 6 5 4 4 3 3 3 3 4 5 5 5 5 4 4 4 4 6 6 6 6 6 6 5 5 5 4 4 5 5 6 6 6 6 6 6 5 4 3 2 1 0 -1 -1 -1 -1 1 3 4 5 6 6 6 7 9 8 6 7 8 8 8 4 -1 0 6 9 10 8 5 4 3 3 3 4 5 5 5 7 8 4 -3 -4 -1 4 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 4 5 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 4 4 3 2 2 3 3 3 2 2 3 3 2 3 3 3 4 5 5 4 5 5 5 6 7 7 8 8 7 5 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 4 5 4 4 5 5 5 5 5 6 6 5 5 5 5 7 8 8 8 8 9 8 8 7 6 6 6 6 7 6 5 4 6 6 5 4 3 3 3 2 2 3 3 4 5 6 6 6 5 5 4 5 7 8 10 10 7 5 7 9 9 10 10 7 3 5 7 7 9 4 0 -1 1 7 5 6 5 3 2 3 7 8 6 6 6 2 6 17 15 9 3 -2 -6 3 9 3 4 8 0 0 2 1 -0 4 1 2 2 4 4 3 3 8 14 17 25 34 29 15 8 6 5 4 4 5 6 6 7 7 7 7 7 9 10 10 10 9 8 7 7 7 6 5 4 4 3 3 3 4 4 4 5 5 4 5 4 4 3 3 4 4 4 3 4 3 2 2 3 3 2 5 12 12 8 6 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 5 4 4 5 6 7 7 4 -1 1 4 4 4 4 5 6 6 6 5 5 5 6 6 7 6 5 5 4 4 4 4 5 6 6 6 6 5 4 3 3 3 3 4 4 4 4 5 4 4 5 5 6 6 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 4 3 1 -1 2 4 4 2 1 0 1 4 4 5 5 5 6 7 7 6 7 8 11 8 1 -2 0 5 7 7 5 4 4 3 3 4 4 5 5 7 11 11 4 -3 -7 -3 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 6 6 6 6 5 5 5 6 5 5 4 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 2 4 4 3 3 3 3 4 4 4 2 2 3 3 2 2 2 2 2 4 4 4 4 5 5 5 6 8 10 11 10 7 5 4 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 3 2 2 2 3 3 3 3 2 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 5 5 5 6 7 8 9 9 8 8 8 8 8 7 6 6 7 8 7 6 4 5 7 6 4 3 2 3 3 2 2 3 4 5 6 6 6 5 4 4 3 5 7 10 13 9 4 4 4 4 9 11 8 7 6 4 3 7 8 7 3 2 7 7 8 9 6 6 4 6 7 7 8 3 -3 7 16 13 13 13 5 -3 7 6 4 8 7 8 7 2 3 4 5 3 4 5 5 5 4 7 11 12 14 23 27 19 10 7 6 4 4 4 5 6 6 7 7 7 7 7 8 9 9 8 8 8 7 7 6 5 5 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 4 3 2 3 3 3 3 6 12 15 15 13 10 9 8 7 7 6 5 5 5 5 4 5 5 3 3 3 3 4 4 5 6 6 5 3 4 4 4 4 4 5 6 6 5 4 5 6 6 7 6 6 6 5 4 4 4 5 5 5 6 7 6 6 5 5 4 3 3 3 3 4 4 4 5 5 5 5 6 6 7 7 7 7 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 6 6 3 5 7 6 4 2 0 -2 -1 2 3 4 5 5 7 9 7 7 9 12 13 9 2 2 5 7 7 6 6 5 4 3 4 5 5 5 6 11 15 11 8 3 -3 1 4 4 3 4 4 4 4 5 5 5 5 6 6 6 5 5 6 8 8 8 7 6 6 6 6 6 6 5 6 6 7 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 3 3 4 3 2 3 3 4 4 4 3 3 2 2 3 3 3 2 2 3 3 3 3 4 4 4 5 6 8 10 10 8 7 5 5 6 7 7 6 6 5 4 5 5 3 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 5 5 4 5 5 5 4 5 5 6 6 5 5 6 7 8 9 9 8 8 9 10 10 9 8 7 8 8 8 7 5 5 7 6 5 3 3 3 3 3 3 4 5 6 6 6 6 6 5 4 3 4 7 12 16 12 5 1 0 -1 2 7 5 3 3 4 3 6 10 9 7 7 4 5 10 12 7 5 5 4 2 4 5 -0 -6 7 12 9 12 12 5 1 6 3 6 8 5 6 3 -1 2 6 7 7 9 8 7 6 5 7 4 0 7 19 19 12 7 6 5 4 4 5 5 5 6 6 7 7 8 8 7 8 8 7 7 7 6 6 6 5 4 4 3 4 3 3 4 4 3 4 5 5 5 4 3 3 4 3 3 3 3 3 3 2 3 3 3 3 4 6 11 15 16 15 15 14 13 11 11 11 9 7 7 6 4 3 2 1 3 5 7 8 8 8 8 8 9 7 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 4 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 2 2 2 3 4 6 8 9 8 6 8 8 8 6 3 1 1 2 4 5 6 8 12 13 12 10 9 9 10 8 4 4 5 7 7 7 6 5 5 4 4 5 5 5 5 8 13 12 8 8 4 2 3 3 4 4 4 4 4 5 5 6 6 7 7 7 6 6 6 6 7 8 7 7 7 7 6 6 6 6 6 7 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 5 5 4 4 3 2 2 3 4 4 4 4 3 3 2 3 3 3 2 3 3 3 3 3 3 3 3 3 4 5 6 7 7 6 6 6 7 8 9 8 8 6 5 5 5 5 3 3 2 2 2 3 3 3 3 3 3 3 2 2 2 2 3 2 2 3 2 2 2 2 3 3 2 2 1 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 4 4 5 4 5 5 5 6 5 5 5 6 7 8 8 8 8 8 10 12 12 11 10 10 10 9 9 7 5 5 7 7 6 4 3 3 3 4 4 5 6 7 7 6 6 6 6 4 3 4 9 18 21 13 8 2 0 2 3 4 4 1 1 1 3 6 7 6 6 5 1 4 10 11 6 2 5 8 5 1 1 -2 -2 5 7 6 7 8 4 1 1 2 3 2 5 2 2 3 2 2 4 6 8 8 7 5 5 6 1 -2 8 18 15 8 6 5 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 4 4 4 3 3 4 3 4 4 5 5 5 5 4 4 4 3 3 3 3 4 3 3 3 3 3 2 3 3 3 5 8 10 12 13 14 14 15 16 16 14 12 11 9 6 4 4 4 6 11 15 18 18 16 15 14 13 8 6 5 5 5 5 5 4 3 4 5 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 4 0 -3 -2 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 2 0 -1 -2 -4 -3 -1 0 3 6 8 8 5 6 8 9 10 9 6 4 5 6 9 12 12 11 11 11 9 6 7 6 5 4 4 5 6 7 7 7 6 5 4 4 5 5 4 4 5 8 8 5 3 1 1 3 4 4 4 4 5 4 4 5 6 7 8 9 10 9 7 6 6 6 6 7 8 7 7 7 7 7 7 7 7 7 7 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 6 6 6 6 5 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 8 9 9 8 6 6 6 5 5 5 4 3 3 2 2 2 3 2 3 2 2 2 2 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 2 3 3 3 3 3 3 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 6 8 8 8 8 8 11 14 14 13 12 12 11 10 9 7 5 5 6 7 6 5 3 3 3 4 5 6 8 7 6 6 7 7 6 4 3 5 11 20 17 7 5 1 5 8 8 -1 2 6 9 4 2 2 2 5 7 6 3 5 9 10 6 1 1 6 8 6 4 1 3 2 6 7 6 5 0 -2 -1 5 3 2 5 1 3 6 4 -2 -0 6 8 6 6 6 6 6 5 6 15 18 13 8 5 4 4 4 4 5 5 6 6 6 7 7 6 6 6 6 6 6 6 7 6 6 6 5 4 4 4 3 4 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 2 3 3 3 4 5 6 8 9 10 11 10 11 12 13 14 14 12 13 15 18 17 18 19 22 23 23 20 12 6 7 6 5 5 4 4 3 3 3 4 5 5 6 6 6 7 7 6 6 6 6 6 6 6 5 5 4 3 -1 -7 -9 -4 3 5 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 1 -1 -3 -4 -6 -8 -8 -7 -5 -2 0 4 6 5 5 5 6 9 11 9 5 6 7 10 11 10 8 8 8 6 6 6 6 6 4 3 3 5 6 7 7 6 5 5 5 5 4 4 4 5 5 6 7 6 2 -0 2 4 5 5 5 5 4 4 4 6 7 9 12 14 12 9 7 6 6 6 7 7 8 8 9 9 8 8 7 8 8 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 6 6 6 6 4 4 5 4 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 5 6 7 7 7 6 5 5 6 5 5 4 4 3 3 2 2 3 3 2 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 8 8 8 8 10 13 15 16 15 13 13 12 11 10 7 5 5 6 7 7 5 4 3 3 4 5 6 9 6 4 6 8 9 7 5 4 6 11 14 7 3 1 1 10 6 6 -1 3 13 15 8 1 -1 4 7 9 8 5 5 8 8 7 5 2 -1 -1 4 6 5 5 2 9 11 8 6 1 -0 4 8 6 7 5 4 5 4 5 2 3 5 7 7 7 7 6 4 3 11 19 17 11 7 5 4 4 4 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 2 3 3 3 3 4 3 3 4 6 8 11 14 16 17 17 17 15 12 10 9 12 16 19 17 8 6 7 6 6 5 5 4 3 3 3 3 2 3 2 2 2 3 2 1 3 5 6 6 6 6 6 5 5 4 4 4 1 -2 2 4 4 4 5 6 6 6 5 3 1 0 0 0 1 1 1 0 0 0 -1 -4 -6 -6 -6 -5 -5 -4 -4 -2 1 3 4 5 6 6 6 8 13 14 10 8 9 7 5 6 7 8 8 7 6 6 6 5 5 3 2 4 5 6 7 6 6 5 5 5 4 3 4 4 5 5 6 8 8 3 2 4 5 6 6 6 5 5 2 3 6 9 12 16 15 12 8 6 5 6 6 7 7 9 12 14 14 12 10 9 9 9 8 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 5 5 5 5 6 6 5 3 2 1 2 4 4 4 4 5 6 5 5 4 5 4 4 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 3 2 2 2 3 2 2 2 2 1 1 1 2 2 2 2 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 8 8 8 9 12 15 17 18 17 15 13 12 11 9 7 5 4 5 7 7 6 5 4 3 3 4 6 7 5 5 7 8 9 7 5 4 6 8 7 4 7 3 8 12 2 -3 2 2 13 13 8 3 1 5 5 6 12 10 5 5 7 8 7 6 1 -3 2 7 6 4 4 8 11 9 7 5 4 9 10 8 8 6 10 9 7 7 8 6 5 4 7 9 8 4 2 5 13 18 14 10 8 5 4 4 4 4 4 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 2 4 6 7 8 9 10 10 7 4 5 6 6 6 7 9 9 7 6 6 6 6 6 6 5 4 4 3 3 2 1 -0 -3 -4 -2 -4 -9 -7 -1 4 5 6 6 6 6 6 8 11 12 11 10 5 3 3 3 4 6 7 7 7 5 3 1 -1 -2 -3 -3 -5 -7 -8 -8 -9 -9 -6 -3 -1 1 4 5 4 4 4 3 3 3 6 8 9 11 14 18 17 13 11 6 5 5 6 7 8 7 7 6 6 5 5 3 3 3 4 6 7 7 6 6 6 6 4 4 3 4 4 5 6 6 7 5 4 5 6 7 6 6 7 9 4 2 5 8 10 15 18 15 9 6 5 5 6 7 8 10 16 23 26 22 15 9 9 9 7 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 5 5 5 5 6 5 4 3 3 3 3 3 4 4 6 6 6 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 3 3 3 4 4 5 4 4 4 3 4 4 4 5 5 5 4 5 5 5 4 3 2 2 2 2 2 2 2 1 1 1 2 1 2 3 3 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 7 7 8 9 10 13 16 19 20 20 16 13 11 10 9 6 4 4 6 7 7 7 6 4 3 3 3 5 6 6 7 9 9 9 7 5 3 5 6 5 6 10 8 12 8 7 2 9 2 5 8 13 11 7 3 2 2 10 11 3 2 8 11 8 7 4 4 8 8 5 4 4 6 9 6 1 3 6 8 9 9 8 7 12 10 9 7 8 7 5 5 7 8 7 4 2 9 16 15 11 10 8 5 4 4 4 4 4 5 6 6 6 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 3 4 4 3 4 3 3 3 3 3 3 3 3 3 3 2 2 1 1 2 3 4 4 4 4 4 4 3 4 5 6 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 5 4 4 3 3 2 -2 -2 -2 -6 -12 -10 -2 4 6 5 5 6 7 10 15 16 14 11 6 3 2 2 2 3 4 4 5 5 4 2 -1 -2 -3 -5 -10 -14 -16 -14 -10 -5 -1 1 3 3 5 7 7 6 4 3 3 3 4 7 9 3 1 11 14 10 8 6 5 5 5 6 7 7 8 7 6 6 5 4 3 3 4 5 7 7 6 6 7 7 6 5 4 4 4 4 5 4 5 5 5 6 7 7 6 6 7 10 10 5 5 6 9 12 16 17 13 8 4 4 6 7 8 9 15 25 35 34 21 11 8 8 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 3 3 4 4 4 5 5 5 5 4 4 3 3 4 5 6 6 5 5 5 5 5 5 4 4 4 3 3 3 4 4 3 3 3 4 5 5 5 5 5 5 6 6 5 6 6 6 5 4 4 4 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 7 8 9 12 15 17 21 23 22 18 13 11 9 7 6 4 4 7 7 7 7 6 5 4 3 3 4 5 7 9 9 9 9 8 5 3 5 7 5 5 8 13 9 2 10 11 13 4 3 11 18 16 12 4 3 1 4 7 2 3 11 15 11 7 5 6 9 5 3 4 2 5 11 5 -4 -0 7 6 5 8 7 5 6 7 7 8 9 6 4 7 7 8 7 4 4 11 16 12 11 10 7 4 3 4 4 4 5 5 6 7 7 6 6 5 6 6 6 6 6 5 6 6 6 7 7 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 4 3 3 2 2 1 1 2 4 4 5 4 3 2 2 2 3 5 7 8 7 7 8 8 6 5 5 5 5 7 7 7 6 7 7 7 7 7 6 6 8 10 10 7 6 6 -0 -7 -8 -3 1 2 3 4 6 9 12 15 12 6 3 3 2 1 0 -0 -0 -1 -2 -3 -1 -1 -4 -5 -3 -3 -5 -7 -6 -1 2 3 3 5 5 4 2 2 4 5 5 5 4 5 8 9 6 4 1 3 6 5 5 5 4 4 4 5 6 7 7 8 7 6 5 4 4 4 4 4 6 6 5 5 7 7 6 5 6 5 5 4 4 4 4 5 5 6 7 7 6 5 6 8 11 9 8 7 7 9 13 16 17 11 4 4 6 7 7 9 12 18 29 33 24 12 7 8 9 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 6 6 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 6 7 6 5 4 3 2 2 2 2 2 3 3 3 3 3 3 4 4 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 10 13 17 20 24 25 21 16 12 9 6 6 5 4 5 6 7 8 7 6 6 5 4 4 4 5 7 9 10 10 9 8 5 4 6 8 5 4 8 12 5 3 4 7 4 7 5 10 12 8 10 7 9 2 0 7 5 6 10 12 11 10 8 7 7 3 2 3 -1 2 11 8 -1 -0 4 6 5 7 7 3 1 2 5 9 8 4 2 6 8 9 7 4 5 12 14 11 11 10 6 4 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 3 3 3 4 3 2 1 1 3 4 4 4 4 3 2 3 3 3 4 6 8 8 7 7 8 7 6 5 5 5 5 6 7 7 6 7 7 7 7 8 8 8 9 11 11 9 10 9 6 1 -9 -12 -10 -9 -5 -3 2 6 7 8 7 4 4 3 2 1 -1 -3 -5 -7 -8 -9 -9 -6 -4 -3 -1 1 4 7 9 10 9 6 6 6 6 5 3 2 4 6 8 10 10 10 11 10 9 13 9 2 4 4 5 5 5 4 3 4 5 6 7 8 8 8 6 5 5 4 4 5 6 6 5 4 5 6 6 5 6 6 6 4 3 2 2 4 5 6 6 6 5 5 5 7 8 9 9 8 7 6 10 16 18 11 5 4 5 7 7 8 9 11 16 20 17 9 6 11 16 15 12 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 4 4 4 4 3 3 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 6 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 6 7 7 6 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 9 12 16 21 24 25 23 17 13 9 6 4 4 4 4 5 6 7 7 7 7 7 5 4 4 4 5 7 9 10 11 10 7 5 6 7 8 7 7 9 6 1 5 3 6 1 6 3 5 3 -2 3 9 13 8 3 5 3 3 2 4 7 13 16 15 9 3 2 1 -3 0 7 8 5 4 4 5 4 6 8 8 3 -0 0 6 5 2 5 8 10 9 5 3 5 14 14 9 11 10 6 4 3 3 3 4 4 5 6 6 6 6 5 6 5 5 5 5 5 6 6 5 6 6 6 6 5 5 5 4 5 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 4 5 4 3 2 2 4 4 4 5 7 8 7 6 6 7 6 5 5 5 5 6 6 6 6 6 7 6 6 7 7 7 7 7 7 7 7 7 8 5 1 -4 -9 -10 -10 -11 -9 -5 -1 3 5 5 4 3 3 2 0 -1 -3 -6 -8 -7 -5 -5 -2 2 4 3 5 8 9 10 9 7 5 6 6 6 6 9 11 11 11 13 15 16 13 7 6 9 7 4 3 3 3 4 5 5 4 3 4 5 5 6 7 8 8 8 7 6 5 4 4 6 5 4 4 4 4 5 5 5 5 5 5 6 3 -2 1 5 6 6 5 5 5 5 6 7 8 8 9 7 7 9 13 13 9 6 5 6 6 7 7 6 7 7 6 4 3 6 15 24 23 14 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 4 4 5 5 5 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 6 6 5 5 5 5 5 6 6 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 5 6 6 7 6 5 5 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 6 7 7 10 15 21 25 27 24 19 13 9 6 3 2 2 3 5 6 6 6 6 7 7 6 5 5 4 4 5 7 9 10 11 10 8 6 7 8 7 8 9 8 2 1 6 6 10 12 10 6 2 2 0 0 12 13 13 8 4 2 -2 -3 1 6 9 16 18 11 5 3 1 1 4 4 6 7 6 4 3 2 4 8 10 7 4 -0 2 3 4 11 10 10 7 3 2 4 15 14 8 10 10 6 3 3 3 3 4 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 6 6 6 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 4 4 4 3 2 2 3 5 5 5 6 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 7 10 10 6 3 1 -0 -1 -3 -5 -10 -10 -6 -0 2 3 3 3 3 2 2 3 2 -0 -1 0 2 4 5 6 6 6 7 7 6 5 4 4 6 8 10 12 15 17 18 18 15 12 10 10 7 4 4 4 4 3 2 2 2 3 4 4 4 3 4 5 5 6 7 8 8 7 6 5 4 4 6 6 5 4 4 3 3 4 4 4 4 5 8 9 1 -0 4 6 6 5 4 4 5 6 6 6 6 7 7 8 10 9 6 6 5 6 6 6 6 6 5 3 1 0 -1 -1 3 13 25 26 13 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 4 4 5 6 6 6 5 4 3 3 3 3 3 2 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 4 4 4 5 5 6 5 5 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 6 5 5 4 3 4 5 4 4 5 5 4 4 3 3 3 3 3 3 4 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 5 5 6 7 8 13 21 26 29 27 20 13 8 7 5 3 2 2 3 5 6 6 6 6 7 7 7 6 5 5 5 6 7 8 9 10 9 7 6 8 7 5 6 7 7 3 3 5 7 10 15 11 8 2 4 7 3 10 9 10 9 6 3 0 -1 4 8 8 9 11 9 8 7 3 4 7 4 4 6 6 3 1 2 5 8 7 6 7 4 2 3 6 11 10 11 6 1 2 4 13 13 8 10 9 6 4 3 3 4 4 5 5 6 5 6 6 6 6 5 5 5 5 5 6 5 6 6 6 6 6 5 6 6 6 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 4 3 3 3 3 5 5 5 4 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 7 7 8 7 7 7 6 6 7 11 16 15 9 4 3 3 4 2 -5 -9 -11 -9 -4 -1 -1 -0 2 5 6 8 9 6 5 4 4 3 4 5 6 6 6 5 5 6 7 7 7 12 15 16 14 13 13 12 8 5 4 7 7 5 4 5 5 5 4 3 2 3 3 4 4 4 3 4 5 6 7 8 9 8 7 5 4 4 5 6 5 4 3 3 2 2 3 4 4 4 5 9 8 3 4 6 6 5 5 5 6 6 6 5 5 6 7 7 8 8 7 5 5 6 6 6 6 5 4 3 2 1 3 4 6 10 17 16 10 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 3 4 5 6 7 7 7 6 5 5 4 4 3 3 3 2 3 2 2 2 3 4 4 4 4 3 3 3 4 4 5 5 4 4 5 5 5 5 5 5 5 6 5 5 6 5 4 5 5 6 6 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 4 4 5 6 6 6 6 5 4 4 4 4 5 5 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 3 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 5 5 4 5 5 5 5 5 7 8 10 19 27 30 27 21 13 8 6 6 5 4 3 2 3 4 5 6 6 6 6 6 7 6 5 5 5 6 7 7 8 8 7 7 8 8 7 8 7 3 4 3 4 6 5 4 8 8 6 2 2 8 7 6 1 0 7 4 4 4 5 9 9 7 5 3 6 9 7 3 5 9 7 4 5 7 5 1 4 7 9 7 3 5 6 4 4 6 7 8 10 4 -0 2 6 15 13 7 9 9 6 4 3 3 4 4 5 5 5 6 6 6 6 6 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 5 4 5 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 4 5 5 4 3 3 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 7 7 7 8 8 7 7 8 11 15 18 14 9 7 5 4 3 1 -0 -4 -8 -8 -8 -8 -6 -4 -1 2 5 8 10 9 8 5 3 3 4 6 6 6 5 6 9 10 9 9 12 13 10 7 6 5 3 2 3 4 5 5 5 5 5 5 5 5 5 3 3 3 4 4 3 3 3 4 5 6 7 8 8 7 6 4 4 4 5 6 4 4 4 3 -1 0 3 3 3 4 4 6 5 4 5 6 5 5 6 6 6 6 6 5 6 7 7 7 9 8 7 6 6 6 6 5 5 4 4 5 6 7 7 7 10 10 8 5 3 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 6 5 4 4 4 5 6 6 7 7 7 6 6 6 6 6 4 4 4 3 2 2 2 1 2 3 2 3 3 3 2 3 4 4 5 4 4 4 5 5 5 5 5 5 6 5 5 6 5 5 5 5 6 6 6 7 6 6 6 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 6 7 9 16 28 31 26 19 12 7 5 5 6 6 5 4 3 3 3 4 5 6 7 7 6 6 6 6 5 5 6 6 6 7 6 6 8 8 8 8 11 10 4 2 3 8 10 7 3 5 10 8 2 4 9 9 6 -1 -6 2 1 2 7 11 11 8 6 3 2 6 10 7 4 7 11 10 6 7 10 7 3 4 8 10 8 5 8 8 6 8 7 6 8 10 4 1 4 6 15 14 8 9 9 6 4 3 3 4 4 4 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 2 3 4 4 4 4 4 4 5 5 5 5 4 4 5 4 5 4 4 4 4 4 5 5 6 7 7 8 8 7 8 8 10 12 17 20 16 12 8 5 3 3 3 -0 -4 -6 -5 -5 -4 -3 -1 2 7 10 11 9 6 4 3 3 5 7 8 8 8 9 12 13 12 8 6 5 4 3 3 2 2 3 4 4 4 5 5 4 4 4 5 5 4 5 5 4 3 3 3 3 4 4 5 6 8 8 7 6 5 4 5 6 6 5 4 5 7 3 -0 3 3 3 4 3 3 4 4 5 5 5 5 6 7 7 7 6 5 6 7 7 7 9 9 9 7 6 6 6 6 6 5 6 7 9 9 9 7 6 6 5 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 6 5 4 4 4 5 4 5 7 7 6 6 6 7 7 8 7 6 6 6 5 4 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 6 6 7 7 6 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 6 8 11 25 36 25 13 8 5 4 5 6 6 7 7 6 5 4 3 3 5 6 7 8 8 7 6 6 6 6 5 5 6 6 7 7 7 7 6 10 12 12 7 2 4 10 9 8 7 6 10 8 5 6 6 8 7 0 -4 -1 1 1 6 11 9 5 4 2 4 7 8 9 7 7 9 8 9 12 11 7 5 5 8 10 8 7 12 12 8 11 9 6 9 11 7 3 5 5 11 17 11 8 8 6 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 5 5 5 5 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 3 3 4 4 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 9 15 18 16 17 16 12 10 9 8 5 4 4 2 1 1 2 2 4 7 8 7 8 7 4 3 4 6 10 14 14 14 14 14 13 10 6 5 5 4 4 3 2 3 4 4 4 4 4 4 3 4 4 5 4 4 5 6 6 4 4 3 3 3 3 5 6 7 8 8 7 5 4 5 6 7 6 5 4 5 6 3 3 3 3 3 3 4 4 4 4 5 5 5 6 7 8 7 6 6 6 6 8 9 10 11 11 9 7 6 6 7 7 7 7 7 8 9 9 8 6 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 5 4 4 5 5 5 6 6 5 4 4 6 7 8 8 8 8 8 9 8 6 5 4 4 3 2 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 3 2 3 3 3 4 4 5 5 5 5 4 5 5 5 5 6 6 7 6 6 7 7 6 7 7 7 7 7 6 6 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 7 9 16 32 33 11 -0 -0 -1 1 5 6 7 7 7 7 6 5 5 4 5 6 7 9 9 8 8 7 7 6 5 6 6 7 9 8 6 6 6 10 10 11 10 6 6 6 3 4 4 5 7 5 4 3 1 3 5 2 -2 0 4 3 4 8 6 5 4 2 2 3 6 9 6 3 4 5 10 11 9 5 6 8 7 6 5 5 11 13 10 12 11 8 9 10 8 5 5 5 8 19 16 8 7 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 1 2 3 3 3 3 3 2 2 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 6 6 7 10 13 16 18 17 16 15 14 13 10 7 4 4 5 5 6 9 11 10 9 12 12 10 11 11 12 16 17 15 11 9 7 6 6 6 5 5 4 4 3 3 4 4 4 3 3 2 2 4 6 7 6 4 4 5 7 6 5 4 3 3 3 4 5 6 7 8 8 6 5 5 6 7 6 5 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 6 7 7 7 7 6 5 5 7 8 11 13 13 11 8 6 6 7 8 8 8 7 7 7 8 9 10 8 6 5 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 6 6 6 6 5 5 5 5 6 6 6 4 3 3 4 5 5 6 6 7 8 9 9 8 7 6 5 5 4 4 3 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 3 3 3 2 3 4 3 2 2 2 2 3 4 4 4 5 5 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 4 3 3 3 3 3 4 4 3 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 8 12 21 30 21 4 -4 -3 -4 -4 1 6 6 7 7 8 8 7 6 5 5 5 6 8 10 10 9 8 8 6 6 7 8 9 9 8 5 8 9 7 7 8 9 10 10 6 2 2 1 0 4 4 5 3 -0 1 7 5 -2 1 7 7 5 6 7 10 9 5 1 3 6 4 5 4 4 5 6 7 4 2 7 12 8 1 -1 3 9 13 12 11 11 8 6 6 6 6 7 5 9 19 18 9 7 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 7 6 7 7 7 6 6 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 3 2 2 3 3 3 4 3 2 2 3 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 7 10 13 15 15 15 16 13 12 14 12 11 13 12 13 15 17 17 18 19 19 19 17 15 12 11 11 8 4 3 4 5 6 6 5 5 5 5 5 5 5 5 4 3 2 1 1 4 8 10 8 5 3 4 6 8 7 5 4 3 3 3 4 5 6 8 8 8 6 6 6 6 6 6 6 5 5 4 4 5 4 4 4 4 4 4 5 5 4 5 6 6 6 6 6 6 5 5 5 6 9 12 13 12 9 7 6 6 6 7 7 7 7 7 7 9 11 12 10 8 5 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 6 6 6 6 6 5 5 5 5 6 5 4 3 2 2 3 3 4 4 5 5 7 7 8 7 7 7 7 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 2 2 2 2 1 1 1 2 3 4 4 4 3 4 3 3 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 7 6 5 4 4 4 3 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 5 4 4 5 5 4 5 5 5 5 6 6 7 10 15 24 26 13 4 1 -1 -5 -7 -2 4 5 6 7 7 7 7 6 6 5 6 6 8 10 11 10 9 8 7 7 9 10 9 9 8 7 10 10 8 13 9 7 9 9 6 7 7 2 -0 3 5 8 6 2 5 11 9 3 4 7 8 7 7 9 12 10 8 6 5 3 1 4 6 9 7 1 4 1 -0 8 14 11 2 -2 2 7 13 16 12 10 6 2 2 3 6 9 6 12 21 16 9 7 6 5 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 7 7 7 6 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 3 3 3 3 4 5 6 8 8 9 10 9 9 11 15 19 19 19 19 18 15 13 14 14 13 13 14 12 11 8 5 5 4 3 3 3 5 5 5 5 5 6 5 6 6 6 5 5 3 3 2 1 4 8 11 9 6 4 4 6 8 8 7 4 3 2 3 3 4 5 7 8 8 7 7 6 5 5 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 7 9 11 10 9 8 7 6 6 6 7 7 8 8 8 9 9 8 9 9 7 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 5 5 6 6 5 5 4 4 4 4 3 3 3 2 2 2 2 3 3 4 4 5 6 6 6 7 7 6 6 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 3 2 1 2 1 0 1 2 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 7 7 7 6 7 6 6 7 8 8 8 7 6 5 4 4 3 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 5 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 6 7 9 14 20 25 21 9 7 7 -4 -9 -8 -3 1 3 5 6 7 7 7 7 6 6 6 7 8 9 11 11 11 8 7 8 10 9 8 7 11 10 8 10 13 17 9 9 4 1 5 10 10 4 3 3 6 8 6 5 7 10 9 8 10 9 8 9 8 8 9 8 5 7 11 8 2 1 4 8 7 3 5 1 3 9 10 12 6 4 5 5 11 19 15 10 5 2 -1 1 7 12 9 14 23 15 8 7 6 5 5 5 3 3 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 5 6 6 6 6 6 6 7 7 6 6 5 5 4 4 4 4 3 3 4 4 5 4 3 4 4 4 5 5 4 3 4 5 5 5 4 4 4 4 4 4 3 4 4 5 5 5 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 6 6 6 6 5 5 4 5 5 5 5 4 4 5 5 5 6 6 6 6 7 8 9 10 13 14 14 14 11 8 7 6 5 5 6 5 5 6 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 3 7 10 9 7 5 4 5 6 7 7 5 3 3 3 3 3 4 5 6 8 8 7 7 5 5 5 6 7 8 6 6 6 6 5 5 5 5 6 5 4 5 5 5 5 4 4 4 4 5 5 5 5 5 7 8 8 9 8 8 7 6 6 6 7 7 8 8 8 8 7 7 8 8 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 4 5 6 6 5 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 5 5 6 6 6 6 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 5 5 7 8 6 3 2 2 1 1 1 2 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 7 7 7 6 6 7 7 7 8 8 8 7 6 5 5 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 4 5 6 5 5 5 6 7 9 13 20 25 24 14 7 13 8 -12 -14 -7 -2 1 3 4 6 6 6 7 5 5 5 6 8 9 10 11 12 11 10 9 9 9 8 6 5 6 9 9 9 8 6 5 9 3 -1 3 7 8 8 9 7 7 5 3 5 5 5 6 10 10 9 8 7 4 4 7 8 4 2 11 12 3 -1 -0 3 6 8 8 7 10 8 4 8 8 9 9 6 10 20 20 11 6 2 -3 1 10 16 12 14 23 16 8 7 6 5 5 5 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 4 4 5 4 3 4 4 4 4 4 4 4 3 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 4 5 5 6 5 5 5 4 5 5 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 5 6 6 5 5 6 6 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 3 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 3 2 2 5 7 7 6 5 4 4 4 6 7 5 4 4 4 3 2 3 3 4 6 7 8 7 6 5 5 6 7 8 8 7 6 6 6 5 5 6 6 5 5 5 5 5 5 4 4 4 5 4 5 5 5 5 5 6 7 7 8 9 8 7 7 7 6 6 7 7 8 9 9 8 8 9 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 3 3 3 3 3 4 7 10 9 5 3 2 2 2 1 2 2 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 7 7 6 6 6 6 7 8 8 8 8 7 7 6 6 5 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 5 5 6 7 9 13 21 27 26 17 6 4 10 0 -16 -14 -5 -1 2 3 5 6 6 6 6 4 4 4 6 8 10 12 13 14 13 11 10 8 6 7 7 6 1 2 9 9 0 -3 5 7 7 1 -1 2 4 11 15 12 9 1 0 3 4 5 6 7 5 6 9 7 1 1 5 6 3 0 6 6 2 -1 -3 1 10 11 9 9 9 4 3 2 2 11 16 15 13 21 23 13 4 -1 -4 3 13 15 12 14 22 18 8 7 6 5 6 5 3 3 4 4 4 4 4 4 5 5 5 5 5 6 5 6 6 7 6 5 4 4 5 6 6 6 5 6 6 6 6 6 6 6 5 5 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 3 2 1 2 4 5 5 5 4 4 3 3 5 6 6 4 4 4 3 3 2 2 3 4 6 7 7 6 6 5 6 7 8 8 7 7 6 6 6 5 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 6 5 5 6 6 7 8 8 9 8 8 7 6 6 6 6 7 9 9 8 10 11 10 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 2 3 4 5 5 5 4 4 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 5 5 5 5 6 6 7 7 7 5 4 2 2 2 3 5 10 11 8 4 2 1 1 2 2 3 3 3 3 4 4 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 6 5 4 4 3 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 5 5 5 4 4 5 6 6 5 5 6 8 13 24 31 28 19 10 1 2 -1 -13 -17 -10 -3 0 3 4 5 6 6 6 5 4 3 4 5 8 12 14 15 16 14 10 8 6 4 5 9 10 6 0 1 3 4 1 6 8 8 3 -4 -3 1 8 16 14 7 -1 0 2 4 10 9 4 1 5 9 9 3 1 2 2 1 1 2 -1 -3 -1 -2 2 15 15 7 5 3 -0 4 1 1 8 15 17 17 25 27 14 3 -3 -3 5 12 11 10 14 24 19 8 7 6 5 6 5 3 2 4 5 5 4 4 4 4 5 5 5 5 5 5 5 6 7 7 5 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 3 4 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 6 5 5 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 1 -2 -3 2 5 5 4 3 3 3 3 5 7 7 5 3 3 4 3 2 2 3 3 4 5 6 6 6 6 6 7 7 7 8 8 7 6 6 5 5 5 6 7 7 6 6 5 5 5 5 4 5 5 5 6 5 5 6 6 6 7 7 8 8 8 7 7 6 5 5 6 8 9 9 10 12 11 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 6 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 5 5 5 5 5 6 7 8 9 8 6 4 3 3 3 5 9 11 9 5 3 2 1 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 5 5 5 5 6 6 7 6 6 6 6 7 8 8 8 8 7 7 8 8 7 6 5 5 4 4 4 3 3 3 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 8 13 25 37 35 21 7 5 4 5 -11 -22 -15 -5 -0 2 4 6 6 6 6 6 5 4 3 3 5 8 13 17 20 19 12 7 5 5 4 4 6 7 8 9 7 10 13 6 2 5 8 6 -2 -1 1 5 15 12 2 2 3 1 4 11 11 4 2 4 8 11 8 4 2 -0 -1 0 -0 -0 3 7 4 4 16 14 3 1 1 -0 7 3 0 4 12 15 22 31 28 14 4 -1 -2 5 10 8 7 12 25 21 7 7 6 6 6 5 3 2 4 5 5 4 4 3 4 5 5 5 5 5 5 5 6 7 7 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 5 4 4 3 3 4 3 3 4 4 4 4 4 5 5 5 6 6 6 5 4 4 5 5 5 5 5 5 4 4 4 5 4 4 5 5 6 6 6 6 6 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 -0 -6 -2 4 6 5 4 3 2 2 5 8 8 6 3 3 3 3 3 4 4 4 4 4 4 4 4 6 6 6 6 6 7 7 7 7 6 5 5 5 6 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 9 8 8 7 5 5 5 6 7 9 10 11 11 9 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 12 10 8 6 5 4 4 4 5 4 3 3 3 3 2 2 3 3 3 2 2 2 1 2 2 3 4 4 4 3 2 3 3 4 5 5 5 4 4 4 4 4 4 5 5 5 6 8 9 9 8 7 5 4 4 5 8 9 7 5 3 2 2 2 3 3 3 3 4 4 5 5 4 4 3 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 7 8 7 7 6 6 8 8 7 7 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 12 22 35 38 28 13 -1 -1 5 -7 -22 -20 -8 -2 2 4 6 7 7 6 6 6 5 5 5 4 5 9 15 23 24 16 6 4 4 5 5 5 6 5 4 4 7 12 12 5 -0 3 8 10 7 8 7 7 12 11 1 1 2 3 4 9 10 6 2 1 4 11 12 7 5 4 5 5 1 1 10 16 7 3 10 7 -0 -2 -2 1 10 2 -2 3 10 10 25 37 26 10 2 -1 0 7 11 9 6 11 22 19 9 7 6 6 6 6 4 3 4 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 4 3 3 3 3 4 4 3 4 4 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 7 7 4 -2 -2 3 6 6 5 3 1 2 4 7 8 7 5 4 3 2 1 3 5 4 4 5 5 2 2 5 6 5 5 5 6 7 7 7 7 5 4 4 5 7 7 6 6 6 6 6 6 6 6 5 5 5 6 7 6 6 6 6 6 6 7 8 9 9 8 7 6 5 5 6 7 8 9 10 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 13 11 9 7 6 5 5 5 5 5 4 4 3 3 2 3 3 4 3 2 2 2 1 2 4 6 6 5 4 3 2 3 3 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 7 8 8 7 7 7 7 6 6 5 4 3 2 2 3 3 3 3 4 4 4 5 5 4 3 3 3 3 3 4 3 4 4 5 5 6 6 6 6 6 6 7 7 7 6 6 5 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 9 12 18 25 29 25 15 5 -2 -5 -8 -27 -24 -10 -2 2 4 6 7 8 7 6 6 6 5 5 5 5 7 11 19 25 19 7 0 1 3 3 8 8 6 8 7 2 -2 -3 1 2 3 5 8 13 17 17 13 10 10 9 3 -1 3 5 4 4 7 6 2 -2 2 11 14 9 7 8 10 11 5 3 12 13 4 1 4 6 2 -3 -5 1 14 7 1 2 0 5 26 37 22 7 0 -1 2 9 12 9 7 12 19 15 9 8 7 6 6 6 4 3 3 4 4 5 5 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 6 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 3 4 8 10 6 1 1 3 5 6 6 4 2 2 3 6 7 7 6 5 5 5 -1 -1 4 5 5 6 8 5 2 3 4 5 5 5 5 6 7 7 7 6 5 5 5 6 7 6 6 6 6 6 6 6 6 6 5 5 5 7 7 6 7 6 7 6 6 7 8 9 9 9 8 6 5 5 5 6 7 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 12 12 11 11 10 9 9 9 9 9 9 7 6 5 4 4 4 4 4 5 4 3 3 3 5 6 7 7 5 4 4 4 4 4 3 4 4 3 3 3 2 3 3 3 3 3 4 3 4 6 7 7 7 8 7 6 5 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 3 3 2 3 3 3 3 4 4 4 5 6 6 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 6 8 10 9 10 11 15 18 18 18 15 8 -0 -3 -2 -7 -15 -19 -10 -1 2 4 5 6 7 8 7 6 6 6 6 5 6 7 9 15 22 22 13 6 0 -3 4 3 6 8 4 6 6 3 2 -2 -3 0 7 7 7 14 22 20 12 9 8 7 3 1 5 6 4 0 4 6 2 -2 1 10 15 12 7 6 7 8 5 5 9 8 5 1 4 13 11 4 -1 3 12 12 3 1 2 15 31 30 16 4 -1 -1 4 9 10 8 8 13 19 14 7 8 8 6 6 6 4 3 3 4 4 5 5 4 4 4 5 5 4 5 5 5 6 6 6 5 4 3 3 4 4 4 4 5 5 5 4 3 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 3 3 3 4 4 4 5 5 4 4 4 5 5 5 5 6 6 6 6 5 5 4 4 3 4 4 5 5 6 5 4 3 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 5 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 4 3 1 2 5 11 11 4 2 3 5 6 6 5 3 1 2 4 6 6 5 5 7 9 5 -0 3 5 5 5 7 8 5 4 4 4 5 5 4 5 6 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 6 7 7 8 9 10 10 10 8 6 5 4 4 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 10 12 12 12 12 12 12 12 13 14 14 12 10 8 7 6 6 6 7 8 8 6 6 6 6 6 7 7 7 7 7 6 5 4 4 3 3 3 2 2 1 2 2 2 3 3 2 2 2 3 4 5 6 7 7 6 5 3 3 3 3 3 4 4 5 6 6 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 7 6 6 5 4 4 5 6 6 6 6 7 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 7 11 14 12 14 17 17 16 12 10 5 -1 -3 0 4 0 -2 0 2 3 4 6 6 7 7 7 7 7 7 7 7 6 7 9 13 20 23 18 11 9 4 1 7 5 3 5 5 5 3 -2 0 2 2 6 12 6 3 11 17 15 10 7 5 5 4 4 6 7 4 -1 1 8 6 2 2 8 15 13 5 -1 1 7 7 5 4 6 7 4 6 12 13 11 7 6 3 11 10 13 14 24 31 22 9 1 -2 -2 4 9 8 7 8 14 20 14 7 9 9 6 6 6 4 3 4 4 5 5 5 4 4 4 5 5 4 4 5 5 6 6 6 5 4 4 4 3 3 4 4 5 5 4 4 3 4 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 5 4 4 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 5 5 5 4 3 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 5 5 4 4 4 5 5 5 6 6 7 7 6 6 5 4 4 3 5 6 6 4 2 -1 -1 -0 4 10 8 4 4 5 6 6 6 4 2 2 3 5 6 5 5 6 10 11 6 4 4 5 5 5 6 5 4 4 4 5 4 4 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 9 10 10 10 9 7 5 4 3 3 4 8 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 6 8 9 9 9 10 10 12 13 14 15 14 12 11 10 9 9 9 11 12 10 8 7 6 6 6 7 7 9 10 10 8 6 5 4 4 4 3 2 1 1 1 2 2 2 3 2 3 2 2 2 3 3 4 5 5 4 3 3 3 3 3 4 4 4 6 6 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 6 6 5 5 5 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 7 8 12 16 15 17 15 11 9 8 9 5 6 14 17 14 8 6 6 5 6 6 7 7 7 6 6 7 8 9 9 8 7 9 13 19 23 21 14 9 10 10 9 7 5 2 5 6 5 8 8 6 6 5 6 8 0 2 9 9 7 7 5 3 3 7 7 6 9 7 -0 -1 8 10 4 1 7 13 10 1 -1 3 6 5 6 6 5 5 7 7 4 4 7 12 9 -5 3 19 26 22 23 20 9 0 1 -1 -2 4 8 8 6 8 15 18 12 7 9 9 7 6 6 4 3 4 4 5 5 5 4 4 5 5 5 4 5 5 6 6 6 6 5 5 4 5 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 4 4 4 5 6 6 6 6 5 4 4 4 4 4 4 3 4 4 4 3 4 4 5 5 5 5 5 5 4 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 7 7 8 8 6 5 3 4 5 6 7 6 3 0 0 0 -2 0 6 7 5 5 6 6 6 5 4 3 3 5 7 7 6 6 8 9 7 5 4 4 5 5 5 4 4 5 6 6 5 4 4 5 5 5 5 5 5 6 5 5 6 6 7 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 9 6 5 4 4 4 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 5 5 4 4 6 7 8 10 12 12 11 10 10 10 10 12 13 11 8 7 6 5 5 6 8 9 10 11 10 7 5 5 5 5 5 3 2 1 1 2 3 4 3 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 4 4 5 6 7 7 6 6 5 4 3 3 2 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 6 6 6 6 5 6 6 7 7 7 7 8 7 6 6 6 5 4 4 4 4 4 4 4 4 5 5 7 8 10 15 20 19 14 8 6 7 9 11 10 18 30 22 10 4 3 5 7 8 8 8 7 7 6 6 7 8 10 10 9 10 13 17 21 21 15 9 6 8 10 11 8 5 4 5 4 3 9 16 21 16 11 7 0 -2 6 11 5 1 2 -1 2 9 11 8 6 10 8 1 0 8 12 7 3 8 8 2 -0 8 13 6 -4 4 15 10 5 10 7 1 -1 3 10 13 -4 -9 12 26 24 17 7 -3 -4 1 -0 0 5 8 8 8 8 13 18 13 7 8 8 7 6 6 4 4 4 5 5 5 4 4 4 5 5 5 5 6 6 5 6 7 6 5 5 5 5 6 5 5 4 4 4 3 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 3 3 4 4 3 4 5 5 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 6 6 6 5 4 4 4 4 4 3 3 3 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 7 8 9 9 9 6 4 4 4 5 7 9 9 6 5 4 1 -1 4 7 6 6 6 7 7 6 5 4 3 6 7 8 6 6 6 6 4 3 3 4 6 7 5 4 5 6 7 6 5 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 7 6 7 7 7 8 9 10 10 9 8 8 7 6 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 1 2 3 3 3 2 2 3 4 5 7 7 7 7 8 9 10 11 11 9 7 6 5 5 5 7 9 10 11 10 8 5 4 5 6 6 5 4 3 2 3 4 5 7 7 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 7 7 6 5 4 3 2 3 3 3 3 4 4 4 4 5 5 5 5 6 5 5 5 5 6 5 6 6 5 5 6 5 6 7 7 7 8 8 7 6 5 4 4 4 4 3 3 3 4 4 5 9 12 15 20 22 16 8 5 7 9 11 9 11 16 18 3 -5 -3 2 6 9 9 9 8 7 7 6 6 7 8 10 10 9 12 16 18 17 14 9 6 4 2 3 5 6 6 7 7 4 5 7 14 19 11 12 15 -2 0 16 15 4 1 -1 -4 6 17 13 5 6 8 7 3 4 9 12 6 3 8 2 -3 1 13 14 5 -3 7 20 14 10 13 7 2 3 4 9 13 4 -6 7 26 22 10 -1 -7 -1 3 1 4 7 7 8 8 7 11 19 17 8 7 8 7 6 5 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 6 7 6 5 5 5 6 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 9 10 9 7 5 4 4 4 6 10 13 12 7 6 6 5 5 7 7 7 7 7 7 6 6 4 4 5 7 7 7 6 6 5 3 2 3 6 8 8 6 4 4 7 8 8 6 5 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 10 9 8 6 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 3 3 2 2 2 2 3 3 3 4 4 6 7 8 9 9 8 8 7 7 6 6 7 10 11 10 10 8 6 4 5 5 5 4 3 3 3 4 6 8 10 11 11 9 7 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 7 6 4 3 3 3 3 3 3 3 4 3 4 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 8 7 6 5 5 4 4 3 3 3 3 3 3 4 6 11 18 21 20 16 9 5 5 7 9 9 5 5 2 -8 -15 -9 -1 6 8 9 8 8 8 8 7 7 7 7 9 10 10 10 13 18 17 11 9 6 7 6 2 -1 -2 1 3 7 8 7 6 1 0 5 10 15 15 -2 7 20 14 4 3 1 -1 11 17 8 3 7 8 7 4 4 9 10 1 -1 4 1 -3 3 12 11 4 5 13 16 12 12 11 7 6 7 4 6 10 17 10 19 30 19 4 -8 -9 6 11 8 9 9 7 7 7 7 11 19 19 9 7 8 7 6 5 4 3 3 4 4 4 4 3 4 4 5 6 6 6 6 6 5 6 6 6 4 5 5 5 5 5 4 4 4 4 5 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 4 4 5 5 5 5 5 5 6 7 8 10 9 7 5 4 4 4 6 9 13 14 7 5 10 7 6 7 7 6 6 7 7 6 6 5 4 5 6 7 7 6 6 4 3 2 4 9 10 9 6 4 4 6 9 9 7 5 4 3 3 4 4 4 4 4 5 5 6 6 7 7 7 6 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 9 8 9 9 10 11 11 11 11 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 4 4 4 3 3 2 2 2 2 2 3 4 4 4 5 7 8 8 8 7 7 6 7 8 9 10 10 10 8 6 5 4 4 3 2 2 4 4 6 8 11 13 14 13 10 8 7 6 4 4 4 5 6 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 6 5 5 5 4 4 4 4 3 2 3 3 4 5 6 7 6 5 5 4 4 4 3 4 4 4 3 3 4 6 12 20 21 14 9 6 5 6 7 8 6 3 -2 -8 -19 -13 -2 5 7 8 8 7 7 7 7 7 7 7 8 9 10 9 10 14 18 15 8 4 4 6 4 3 3 4 3 3 3 5 8 5 -4 -7 -4 4 15 9 1 13 15 8 6 9 6 2 8 7 3 6 11 9 7 5 5 11 10 2 -3 1 1 -1 7 14 13 9 6 4 4 8 10 7 7 11 12 6 -3 5 25 23 31 31 16 -4 -20 -12 18 28 18 13 10 8 7 7 7 11 18 18 10 6 8 7 6 5 4 3 3 4 4 4 3 3 3 4 5 6 7 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 6 5 6 6 6 6 6 6 5 5 5 5 5 5 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 1 1 1 -0 -0 2 3 4 5 5 5 5 6 7 8 9 8 6 4 4 4 4 5 7 11 15 8 3 7 8 6 6 5 6 6 7 7 7 6 5 4 5 6 6 6 6 6 4 3 3 7 11 12 10 7 4 4 5 7 8 7 6 4 4 4 3 3 4 4 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 9 9 8 9 10 11 13 13 11 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 3 3 4 4 4 3 3 3 2 2 2 2 2 2 3 4 6 6 6 6 6 6 6 6 7 9 11 11 11 9 7 5 4 4 4 5 4 5 6 7 8 9 11 11 10 9 7 5 3 2 3 6 7 5 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 6 6 5 5 4 3 3 2 2 2 3 4 5 5 6 6 5 5 5 4 4 4 4 4 4 3 4 5 7 8 17 19 11 7 7 7 7 8 8 5 2 -3 -7 -9 -2 4 7 7 7 7 7 6 7 7 6 7 8 9 9 10 11 14 17 17 13 8 2 1 1 -2 -1 7 13 12 9 4 6 8 5 1 2 -0 3 9 3 4 16 14 5 11 21 11 3 2 2 7 14 11 7 4 3 7 12 8 3 2 2 4 6 10 13 11 4 -1 -2 1 5 6 2 6 11 10 5 -2 7 19 24 34 29 12 -10 -24 -6 30 41 28 16 10 8 8 8 7 9 16 19 12 6 7 7 6 5 4 3 3 4 4 4 4 3 3 4 6 6 7 7 7 6 6 6 6 5 5 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 7 6 6 5 5 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 -2 -5 -3 -3 -1 3 5 5 5 6 8 9 8 7 5 4 4 4 4 5 7 11 14 14 7 4 6 6 5 5 4 5 6 7 7 6 5 5 5 6 7 6 6 5 4 4 4 7 11 13 12 9 6 4 4 6 7 7 6 5 4 3 4 4 4 4 5 5 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 4 4 4 5 6 6 7 7 7 7 7 7 7 9 9 9 8 7 7 9 11 12 11 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 2 3 4 4 3 3 3 3 3 2 1 1 1 1 1 2 3 3 4 4 5 5 4 4 5 6 9 11 11 11 9 8 7 7 9 9 7 6 6 6 5 5 6 7 8 8 7 5 3 2 3 6 7 6 4 4 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 5 6 6 6 5 5 3 3 3 2 2 2 3 3 3 4 5 5 6 6 5 5 4 4 4 5 4 4 5 7 7 6 11 16 13 9 8 8 8 9 8 3 0 1 1 2 5 7 7 6 5 5 5 5 6 6 6 7 9 11 12 13 17 19 18 14 10 9 7 7 7 4 2 5 7 10 11 9 8 5 4 8 15 13 9 3 -3 -3 1 8 6 17 25 9 2 1 7 15 14 7 3 1 2 7 9 4 2 6 5 8 9 6 5 3 -2 -2 3 5 2 -4 -4 2 8 5 -3 -2 7 6 18 34 29 11 -10 -14 6 28 34 26 16 9 8 8 7 7 9 17 21 13 6 8 7 6 5 4 3 3 5 4 4 4 4 4 4 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 6 6 6 5 4 4 4 4 5 4 4 5 5 5 5 5 4 4 5 4 4 4 5 4 4 4 4 4 5 5 5 6 6 5 6 6 7 7 6 6 6 5 5 4 4 4 3 3 3 4 5 5 4 4 3 3 3 4 4 3 3 2 2 1 1 2 2 4 4 4 5 5 5 4 4 5 5 5 4 5 5 5 7 8 3 -3 -5 -6 -6 -4 1 5 6 6 8 9 8 6 4 4 4 4 4 5 7 10 15 17 9 5 6 6 5 4 4 4 5 7 7 6 5 5 6 7 7 7 5 5 4 4 5 6 9 12 13 12 9 6 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 6 5 5 5 5 5 4 4 4 5 5 6 7 7 8 7 7 7 7 8 9 9 9 8 7 7 8 9 8 7 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 2 2 3 3 3 3 3 3 3 2 2 2 1 2 2 1 2 2 2 2 3 3 3 3 3 3 4 5 7 8 9 8 8 8 9 11 11 10 9 8 7 7 7 7 8 9 9 9 7 6 5 6 7 7 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 5 6 5 4 4 3 3 3 3 3 2 3 3 5 6 6 6 6 5 5 4 4 5 5 5 6 7 7 6 5 15 20 12 9 8 9 8 5 1 2 3 5 6 7 7 6 5 3 3 4 5 5 5 7 10 11 13 18 20 20 18 14 10 7 7 9 10 13 12 9 2 3 6 8 7 4 2 2 5 7 5 2 9 11 -2 -10 -2 4 15 15 2 -0 5 10 11 8 6 3 0 2 6 5 4 5 5 2 7 6 1 1 1 -3 -4 2 11 8 -3 -4 0 2 -2 -6 -2 2 -3 12 35 34 12 -6 -3 11 20 20 17 11 7 6 6 6 6 11 18 16 7 7 9 7 6 5 4 3 4 5 4 4 3 3 4 5 6 7 7 7 7 6 6 6 6 5 5 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 5 4 4 5 4 4 5 5 5 5 5 5 6 6 6 6 7 6 6 6 5 5 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 3 2 2 1 -0 -0 0 1 3 4 5 5 5 4 4 4 4 5 5 5 5 4 5 7 10 9 4 2 -1 -4 -4 0 5 6 7 8 8 7 5 4 3 4 4 5 5 6 7 11 12 8 6 5 5 5 4 4 4 5 7 6 6 6 5 6 7 7 6 5 4 5 6 6 6 7 9 12 13 12 9 7 6 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 7 7 8 7 6 6 6 5 5 5 5 5 5 5 4 4 5 6 6 7 8 8 8 8 8 8 8 9 10 10 8 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 7 8 10 10 11 10 10 10 10 9 11 12 12 11 10 9 9 9 9 7 5 3 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 6 6 6 6 5 5 5 6 5 5 6 7 8 7 4 5 19 22 13 9 10 11 8 2 -0 2 4 6 6 6 6 4 3 3 3 3 4 4 5 11 15 13 17 21 18 17 15 10 8 8 6 4 3 3 7 10 4 1 4 8 6 1 1 4 -1 -5 -2 5 17 23 12 3 1 3 5 2 2 5 11 11 10 9 9 4 2 3 4 3 5 5 -0 -4 2 4 1 0 1 2 5 8 12 8 3 3 1 -4 -6 -1 1 -3 -3 12 29 31 14 2 6 15 16 14 12 8 7 6 6 5 5 9 12 8 5 10 13 9 6 5 4 3 4 4 4 4 3 3 4 5 6 6 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 3 4 4 4 4 4 4 4 4 3 3 4 4 3 2 1 -0 -2 -2 -1 0 2 4 5 5 5 4 4 4 5 5 4 4 4 4 5 7 8 8 7 7 6 3 0 1 5 6 7 8 8 6 5 4 4 5 5 5 5 5 5 7 7 6 6 5 5 6 6 5 5 5 6 6 6 6 6 7 7 7 5 5 5 5 6 6 5 6 7 9 11 11 9 8 8 7 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 7 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 6 7 8 8 9 8 8 8 8 9 10 10 7 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 5 6 5 5 4 3 2 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 5 7 9 10 9 9 8 9 12 14 13 11 11 10 12 13 13 10 6 4 4 5 6 7 6 5 4 4 4 5 5 5 6 6 6 5 4 4 4 4 5 6 5 5 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 5 5 5 5 6 6 6 5 5 7 7 8 6 2 6 20 22 13 11 13 13 10 5 1 2 5 5 5 5 4 3 3 3 3 3 3 4 11 20 16 12 18 17 12 14 14 10 9 7 5 1 -4 -4 4 9 9 5 4 9 8 1 6 9 5 8 7 -1 2 11 12 13 10 4 0 -1 4 9 13 10 10 12 10 5 2 3 3 3 3 2 -1 -2 1 3 2 1 5 11 16 14 8 0 3 4 0 -5 -5 0 -1 -5 3 14 20 17 12 11 15 17 14 11 9 7 6 7 6 4 5 7 8 7 7 11 18 14 6 5 5 4 4 4 4 5 3 3 3 4 6 7 7 7 6 6 5 5 6 5 5 5 5 5 5 4 5 4 4 5 5 5 4 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 -1 -2 -2 -2 -0 2 3 5 6 5 4 4 4 5 4 4 3 2 2 3 5 6 6 6 7 7 5 1 -2 2 7 8 8 8 6 4 4 4 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 5 6 7 7 7 6 7 7 6 5 4 4 6 6 6 6 6 6 7 8 8 7 8 8 8 7 6 6 5 6 6 6 6 7 6 6 5 5 5 5 5 6 6 6 6 5 5 4 5 6 5 6 6 5 5 5 5 5 5 6 7 8 9 9 8 8 7 8 10 10 10 8 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 7 6 5 5 5 6 6 6 6 5 5 5 6 6 7 8 7 8 8 8 7 6 5 4 2 1 1 1 2 3 4 4 4 4 4 3 2 2 1 1 3 5 6 6 5 4 6 7 9 10 9 9 9 11 15 15 12 8 5 4 6 8 10 8 5 4 4 4 4 4 5 6 6 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 4 3 3 3 4 5 5 5 6 7 7 6 5 6 8 8 6 4 1 8 21 22 14 12 13 11 12 11 10 5 4 4 3 3 3 2 2 3 3 3 4 10 21 24 13 12 16 11 10 15 16 12 8 3 -1 -3 -2 4 8 8 9 7 4 9 8 1 5 4 9 21 11 -2 2 4 4 9 10 5 2 2 4 9 6 -2 1 9 8 6 4 2 2 3 3 3 4 6 6 5 4 4 7 10 14 15 8 -0 3 3 -3 -1 3 3 1 3 11 16 12 5 6 14 20 18 13 10 8 6 6 7 5 4 5 7 7 7 7 11 20 17 7 5 5 5 4 4 5 5 4 3 3 4 6 7 7 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 4 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 2 1 -0 -2 -2 -1 1 2 3 5 5 5 5 4 4 4 4 3 1 0 1 -0 1 4 6 7 7 7 7 2 -4 -4 4 8 9 8 5 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 6 6 6 6 6 7 6 6 6 7 8 8 7 7 6 6 6 7 8 8 8 6 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 7 8 8 8 8 7 7 8 9 9 9 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 7 5 4 5 6 6 7 6 5 4 5 5 5 6 7 7 8 8 8 8 8 7 6 4 3 2 2 3 4 4 5 5 5 5 4 4 3 2 2 3 4 3 2 2 2 2 3 3 4 5 6 7 9 11 13 12 8 6 4 7 10 11 8 5 4 4 4 3 3 5 6 6 6 5 5 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 6 7 8 7 5 4 3 3 4 5 5 5 6 7 7 6 6 7 8 8 5 2 1 11 25 24 15 10 10 11 9 9 4 -1 2 3 3 2 2 2 3 3 3 4 8 18 25 20 11 11 10 9 15 18 18 14 8 3 -0 -2 3 11 13 4 -0 2 6 4 0 0 1 -2 7 20 10 9 14 5 0 4 6 7 6 3 4 5 -1 -5 -1 4 4 4 4 2 2 3 4 5 7 10 11 9 5 5 7 4 8 19 19 8 7 9 2 2 7 8 7 11 15 14 7 2 5 13 20 18 13 10 7 5 6 6 4 3 5 6 5 6 7 11 20 19 8 4 5 5 4 4 5 5 4 3 3 4 5 6 6 6 6 6 6 6 5 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 2 0 -1 0 1 2 3 5 6 5 5 5 5 4 3 3 1 -1 -3 -3 -0 4 6 7 7 7 7 5 -0 -1 5 8 8 7 5 4 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 4 2 3 5 6 6 6 6 5 5 5 5 5 5 4 4 4 5 6 7 7 7 7 6 6 6 6 8 8 8 7 7 6 6 7 8 9 8 7 6 6 6 6 6 6 6 6 5 6 6 6 6 7 7 7 6 6 5 5 5 6 6 5 5 6 7 8 8 9 8 7 7 7 7 7 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 5 5 5 5 5 5 4 4 3 4 4 4 5 5 6 6 7 8 8 8 8 7 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 4 2 2 1 2 2 2 1 0 2 3 4 5 6 9 10 8 6 6 7 9 9 6 4 4 4 3 3 3 4 6 7 7 6 5 4 4 5 5 6 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 6 8 8 7 4 3 3 3 4 4 5 6 7 7 6 6 7 9 9 7 3 1 5 21 31 24 13 8 7 8 1 -3 -10 -7 1 3 2 2 1 2 3 3 4 4 10 21 22 14 9 7 5 9 16 19 19 12 6 7 7 3 4 8 11 2 -2 7 13 4 -3 -0 2 4 10 11 3 11 12 4 2 3 5 8 7 5 5 5 1 3 5 4 3 4 5 4 4 4 5 7 8 11 13 9 4 6 10 6 6 19 25 14 10 10 6 3 5 5 9 13 14 10 6 6 7 12 18 18 15 11 7 6 7 5 3 4 7 6 5 5 6 12 21 20 10 4 5 5 4 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 1 1 2 2 4 5 6 6 5 5 4 3 3 3 2 0 -1 1 3 5 6 6 7 7 7 7 3 2 6 8 8 6 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 8 8 4 2 4 6 6 6 5 5 5 4 5 5 5 5 4 4 5 6 6 7 8 7 6 6 6 6 7 8 8 8 8 7 6 6 7 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 7 7 6 6 6 6 7 7 7 6 6 7 7 8 9 9 8 7 7 6 6 7 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 7 7 7 7 6 5 4 4 5 5 5 5 6 6 9 11 10 9 6 4 3 3 4 4 3 2 1 1 1 2 3 3 5 8 8 7 7 8 9 9 5 3 3 3 3 3 3 4 6 7 7 7 5 4 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 6 7 7 5 3 3 3 4 4 4 6 7 7 7 7 7 8 9 8 5 3 4 16 35 34 19 11 6 1 -2 -11 -12 -9 -3 1 2 2 2 2 3 3 4 5 5 10 17 18 13 8 6 6 8 10 13 15 8 3 9 11 8 5 5 13 9 3 8 9 7 2 2 5 10 14 4 -1 6 5 3 3 4 5 8 7 6 7 6 6 10 11 7 6 7 7 8 6 6 11 14 10 9 12 8 1 5 13 7 -0 10 20 17 7 4 6 7 5 6 9 12 10 8 11 9 6 10 14 15 15 12 8 7 7 5 4 6 7 6 4 4 7 14 23 20 9 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 5 4 5 5 5 5 5 5 6 6 6 6 7 6 6 5 5 5 5 5 4 4 4 4 5 4 4 4 4 3 4 3 3 4 4 4 4 3 3 2 3 4 5 6 6 5 4 3 3 4 5 5 5 5 6 6 6 6 6 7 7 7 7 5 -0 1 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 7 10 10 5 4 5 6 7 7 6 5 5 5 5 6 5 4 4 4 5 6 6 7 6 6 6 5 5 7 8 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 9 8 7 6 6 6 7 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 4 5 5 4 4 4 4 6 7 7 7 6 6 6 5 6 6 6 6 7 7 7 7 7 7 6 5 5 5 5 5 5 6 8 10 13 14 13 10 7 6 6 6 6 6 5 4 4 4 4 3 3 3 4 5 6 6 8 10 10 9 5 3 2 3 3 4 5 5 6 7 7 7 6 5 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 4 4 5 6 6 6 4 3 3 4 4 4 5 6 7 7 7 7 8 8 9 7 7 7 14 30 39 28 14 7 0 -6 -12 -19 -15 -5 -1 0 0 1 2 2 3 4 5 6 7 9 12 15 15 10 9 12 10 6 4 8 8 3 7 12 13 7 10 12 11 12 9 0 2 4 6 11 11 8 4 8 6 1 4 4 5 7 7 7 6 6 5 6 10 11 8 8 9 6 8 10 10 14 18 7 2 6 3 -1 6 17 17 7 4 7 11 8 4 4 6 5 3 10 10 4 8 19 15 6 9 12 12 12 11 9 8 8 6 6 7 6 5 4 5 10 19 25 16 5 3 5 6 6 6 6 5 5 4 4 4 3 3 4 4 5 5 6 6 6 6 6 6 6 5 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 4 4 5 5 5 5 4 5 5 5 5 6 6 6 6 7 7 6 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 4 4 3 3 4 6 6 6 5 4 3 3 4 5 6 7 7 7 7 6 7 7 7 7 7 7 6 5 5 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 8 5 1 4 6 6 7 7 7 7 6 6 6 7 6 5 4 4 4 5 6 5 6 8 8 6 5 7 8 8 8 8 9 9 8 8 8 7 6 7 7 7 7 8 7 8 7 7 7 7 7 7 7 7 8 7 7 7 7 8 9 9 9 8 8 7 8 8 8 9 9 9 8 8 7 6 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 5 5 5 5 5 5 5 5 8 12 13 10 7 6 6 6 5 5 4 5 6 7 7 6 6 6 5 4 5 6 6 6 7 8 9 12 14 13 11 8 8 8 9 9 9 8 7 7 8 9 8 6 5 4 3 3 4 5 6 8 9 8 6 3 2 2 3 5 6 6 6 6 7 8 7 6 4 4 4 6 6 6 6 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 5 6 7 7 8 8 8 8 8 9 10 13 15 19 25 26 20 12 4 -3 -6 -14 -20 -13 -5 -1 -0 0 1 2 2 4 5 5 6 7 8 8 15 18 14 13 18 15 6 1 7 11 7 5 12 13 8 10 3 8 10 10 4 0 0 6 12 8 3 12 16 6 2 6 7 5 6 6 6 5 4 6 7 9 8 6 6 8 3 6 14 13 8 8 1 -3 0 2 3 8 15 16 16 13 2 2 12 11 4 2 5 3 8 4 -2 7 22 18 9 11 14 11 9 10 10 10 9 7 8 8 6 5 4 6 14 25 22 8 2 4 5 5 6 6 6 6 5 4 4 4 3 4 4 4 5 6 7 6 5 5 6 6 6 5 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 4 3 3 3 4 4 5 5 5 5 4 5 5 5 5 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 5 5 4 4 4 5 6 7 6 4 3 3 3 2 3 4 5 7 7 7 7 7 8 8 8 7 6 6 6 7 9 8 6 5 5 5 5 5 4 4 4 5 6 6 6 6 6 5 5 6 7 5 -2 1 6 6 7 8 8 7 7 7 7 7 7 6 5 4 4 5 5 5 6 9 9 7 6 7 7 8 8 9 9 9 9 8 7 7 6 7 7 7 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 12 9 7 7 6 6 6 4 6 10 16 19 15 8 7 7 6 5 4 3 4 6 7 7 6 5 4 4 5 7 8 8 7 8 8 9 9 9 8 7 6 7 8 9 9 9 8 8 9 12 14 12 8 6 5 5 4 4 4 4 5 6 7 6 4 2 2 3 5 7 7 6 6 7 8 8 7 5 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 5 5 6 8 9 9 8 8 9 13 15 16 17 17 13 11 12 12 8 4 -2 -14 -17 -10 -4 -1 0 0 1 2 4 5 5 6 6 7 7 10 20 22 14 12 17 17 10 5 7 9 6 5 9 11 10 4 5 8 3 13 14 1 -0 7 9 3 6 21 19 6 8 5 6 6 5 4 3 4 7 9 10 10 8 5 3 6 3 2 7 9 9 6 -2 -2 2 5 7 9 11 6 4 9 9 5 11 11 6 4 2 12 10 5 4 11 17 14 10 13 15 12 10 11 12 11 8 8 7 7 6 5 4 7 18 26 18 5 2 4 5 5 6 6 6 6 5 4 4 4 3 3 4 4 5 6 6 6 6 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 3 4 4 5 5 5 4 5 5 5 5 6 5 5 6 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 6 7 7 6 4 3 2 0 -2 -2 0 4 6 6 6 6 7 8 9 8 8 7 6 3 2 7 8 6 5 5 5 4 5 5 1 0 2 3 3 3 4 5 5 6 6 7 10 6 2 6 6 7 7 8 7 7 7 7 7 8 7 7 5 4 4 4 5 7 10 10 9 7 7 7 7 8 8 9 10 10 9 8 7 7 7 7 8 7 7 7 7 7 8 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 23 16 11 10 9 8 7 5 4 4 10 17 20 15 10 7 7 6 5 4 4 4 5 7 6 5 3 2 3 5 7 8 8 8 8 7 7 6 5 4 5 5 5 5 6 6 6 7 7 9 14 15 12 8 6 6 5 5 5 5 4 4 5 6 6 5 3 3 4 6 7 7 6 5 6 8 10 9 7 5 4 4 5 6 6 7 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 4 6 9 11 10 8 8 13 18 15 9 13 19 17 8 7 13 15 10 -3 -18 -16 -7 -2 -0 1 1 3 4 6 6 6 7 7 9 11 18 25 21 12 10 13 14 13 9 5 3 3 6 6 9 10 4 11 6 5 11 7 -2 6 13 8 -0 5 12 10 9 11 6 5 6 6 3 1 5 11 13 12 9 7 4 1 5 4 0 2 2 14 12 6 4 7 10 11 9 8 4 -4 -1 6 9 12 8 4 6 3 11 10 12 18 17 13 9 10 14 15 12 11 11 12 9 8 7 6 6 5 4 4 9 21 24 14 4 3 4 5 6 7 7 6 5 5 4 4 4 4 3 4 4 4 5 5 6 6 5 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 6 5 5 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 5 5 5 7 8 7 5 3 2 1 -0 -3 -4 0 5 5 6 6 6 6 8 8 8 8 7 7 4 2 4 7 6 6 5 4 5 5 6 4 0 -0 -0 -1 -1 -1 2 5 6 6 6 8 11 7 6 7 7 7 7 7 7 7 7 7 8 8 7 6 5 5 5 5 7 10 11 8 6 6 7 7 6 7 9 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 12 9 9 10 9 7 5 4 4 7 13 15 12 8 6 7 7 7 7 6 6 6 6 6 5 4 3 3 5 7 8 8 7 7 6 6 5 4 4 3 3 3 4 4 4 4 5 6 8 12 13 10 6 4 4 5 6 6 6 5 5 5 5 5 5 5 5 6 7 7 6 5 5 6 8 11 11 9 6 5 4 5 6 6 7 7 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 5 8 13 15 13 10 11 17 17 8 1 9 24 26 14 5 7 8 -1 -15 -21 -13 -3 -1 0 2 3 5 7 7 8 7 8 14 18 20 24 22 15 11 11 12 14 15 12 8 5 3 4 7 7 2 -2 -0 -0 6 2 -5 -4 12 19 10 -1 -2 -1 3 10 8 7 5 6 6 3 2 7 12 14 13 11 9 5 2 6 6 6 6 -1 4 2 7 9 12 18 14 8 4 0 2 8 7 8 20 19 4 3 11 6 5 14 19 17 9 6 10 14 14 12 11 11 10 8 7 7 6 6 5 5 4 9 20 23 11 4 4 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 5 6 5 5 4 4 5 5 5 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 7 10 10 8 5 3 2 1 1 2 2 4 4 5 5 5 5 6 9 9 7 7 7 8 8 6 7 6 6 6 5 4 4 5 7 10 9 6 5 4 4 3 4 5 7 8 8 7 7 7 7 7 7 7 6 7 7 6 7 7 8 8 8 7 7 5 4 5 7 10 10 7 5 6 7 7 6 6 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 7 7 8 8 7 7 7 8 8 8 8 9 8 8 8 9 8 9 9 8 9 9 9 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 3 4 10 18 22 22 17 12 9 8 8 11 14 15 13 9 4 9 16 12 6 7 16 22 24 16 8 -0 7 16 24 27 24 18 14 14 12 7 5 4 4 7 10 13 10 9 8 7 8 10 15 20 23 23 24 20 15 12 10 9 8 9 11 11 12 14 14 13 13 14 15 15 11 11 12 16 19 21 22 21 20 19 18 18 16 14 12 10 10 9 8 8 9 10 10 10 11 13 15 14 13 12 12 11 9 9 13 15 13 13 13 13 14 15 15 14 13 15 20 19 17 14 12 12 11 11 10 8 10 11 11 10 9 9 10 11 11 11 11 10 10 10 10 11 12 12 13 13 12 11 11 11 11 11 13 12 11 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 12 12 11 11 10 10 11 13 16 16 15 13 12 12 12 11 12 11 11 11 11 10 10 10 10 10 10 12 13 12 12 13 12 12 12 12 12 12 12 11 10 10 11 12 13 13 12 11 10 10 11 12 12 11 12 12 12 12 14 14 12 11 12 11 11 11 10 8 9 12 16 17 15 13 11 11 11 11 11 12 12 12 12 11 11 11 11 12 13 12 12 11 11 11 12 12 12 11 10 10 11 11 11 11 11 11 11 11 10 11 11 11 12 12 11 12 11 11 11 12 13 11 10 8 9 9 7 8 11 12 13 13 13 13 12 11 12 12 12 12 12 12 12 12 12 12 11 12 12 13 12 13 14 14 13 14 14 14 14 13 13 12 12 12 13 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 13 13 16 16 14 12 10 9 9 11 13 14 14 14 14 15 16 16 17 16 16 17 17 17 16 18 20 20 18 16 14 13 12 12 12 11 11 12 14 17 20 20 19 16 15 14 13 13 12 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 12 14 14 13 14 14 16 15 15 15 15 15 13 14 15 17 17 17 14 14 15 16 16 14 14 15 14 13 11 11 12 13 12 13 13 14 14 14 14 14 14 14 13 13 13 14 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 2 7 15 16 13 12 5 2 7 24 26 11 8 7 14 20 22 17 9 7 13 20 24 25 20 14 13 14 7 2 3 6 8 12 14 16 15 13 10 9 9 11 13 14 13 13 16 15 12 10 9 8 8 10 12 13 13 13 13 13 13 13 16 18 17 17 17 18 18 18 21 22 20 17 14 16 16 14 11 9 7 7 6 7 8 9 9 9 10 13 15 15 14 13 13 12 11 10 12 14 15 18 18 16 15 14 16 18 18 19 22 20 17 14 13 12 12 11 11 11 11 12 10 10 9 9 10 10 10 11 11 10 9 9 10 10 9 10 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 10 10 9 8 9 9 10 10 10 10 10 11 11 12 12 11 9 8 7 9 13 17 17 16 14 13 12 12 12 12 11 10 11 11 10 11 11 11 11 10 10 11 12 12 12 11 11 11 12 12 12 11 11 10 10 11 13 14 13 11 10 9 9 11 13 13 12 11 9 8 12 17 15 12 12 12 13 13 12 7 5 7 10 13 14 14 13 12 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 11 12 12 12 11 11 10 7 7 11 13 13 13 13 14 14 13 13 12 12 12 12 12 13 12 12 12 11 11 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 12 12 12 12 12 12 11 12 12 12 12 12 11 12 12 12 12 12 12 13 12 11 12 13 13 13 14 14 14 14 14 15 14 11 10 9 9 11 12 13 13 14 14 14 14 15 15 16 15 15 15 16 16 18 20 20 18 16 14 14 13 13 12 12 12 12 12 12 13 14 14 13 13 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 12 12 12 13 12 12 13 14 14 15 15 14 15 15 15 15 15 15 14 14 15 16 17 17 14 14 14 16 17 15 14 14 14 13 12 12 12 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 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 11 3 1 13 14 13 7 7 4 4 2 4 6 16 18 19 16 16 13 10 11 10 5 5 8 12 15 16 17 16 16 12 8 5 3 3 6 6 1 2 4 4 5 6 6 6 8 12 13 13 12 12 11 11 13 15 18 20 19 14 14 12 11 10 10 11 8 8 9 12 13 13 10 7 5 6 7 7 8 8 9 11 12 14 16 17 16 15 15 15 13 10 8 9 12 15 16 14 11 11 14 18 19 19 20 19 17 14 13 12 11 11 12 13 12 11 10 9 9 11 12 11 11 11 11 10 10 10 11 9 8 9 9 8 8 9 10 11 11 12 11 12 13 12 12 11 11 10 10 9 9 9 9 9 10 10 9 10 11 11 11 11 10 9 8 5 5 8 12 15 17 17 15 13 13 12 11 11 11 10 10 10 11 12 12 11 10 10 10 11 12 12 11 10 11 12 12 11 12 12 12 11 12 12 12 13 13 10 9 9 10 11 13 13 12 9 5 9 15 14 13 11 12 12 14 14 12 8 6 7 9 11 13 14 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 12 12 12 13 12 12 13 12 12 11 9 9 10 10 11 12 13 14 13 13 13 13 13 12 12 13 12 12 13 13 12 12 11 12 11 12 12 12 12 12 12 13 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 15 14 13 12 11 11 12 13 13 13 12 12 13 14 14 13 14 14 14 14 14 14 15 15 17 19 18 15 14 14 14 13 13 13 13 12 12 12 12 12 12 12 13 12 12 12 12 12 13 12 12 11 11 11 11 11 12 12 12 12 13 13 13 14 15 15 14 14 15 14 14 15 14 14 13 13 13 14 15 15 16 16 15 13 14 14 14 13 14 15 15 14 13 12 12 12 13 13 13 13 13 13 13 13 13 13 14 13 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 4 9 16 22 20 17 13 10 8 5 4 5 6 11 15 17 17 16 16 13 12 11 9 5 1 -1 -1 1 2 3 1 2 3 5 7 9 12 14 12 11 12 13 13 13 13 16 19 19 14 10 8 6 5 4 5 5 5 8 9 12 13 13 11 8 5 6 11 12 11 11 13 16 19 16 16 19 19 20 19 17 14 11 10 10 11 10 8 6 6 8 11 15 17 17 16 15 15 14 13 12 11 11 12 12 12 11 10 10 10 12 13 12 12 11 11 11 11 11 11 10 9 9 8 7 7 9 11 11 12 11 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 8 7 6 7 10 13 17 17 14 13 12 12 11 11 10 10 11 11 12 12 11 11 10 10 10 12 11 10 9 10 12 14 14 12 13 13 13 12 12 12 11 11 11 10 9 10 11 12 12 12 10 9 10 11 12 12 12 12 12 13 15 14 12 10 8 8 9 10 12 12 12 11 11 10 10 11 12 12 13 12 12 12 11 12 13 13 12 12 12 12 13 12 13 13 12 12 11 11 11 11 12 12 13 13 12 13 13 13 13 13 13 12 10 11 10 10 12 13 13 13 14 14 13 13 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 14 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 12 14 15 15 13 13 13 12 12 11 12 13 13 12 12 12 12 13 14 13 13 13 13 13 13 13 13 13 15 18 18 17 15 14 13 13 13 12 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 13 14 14 14 14 14 14 15 16 16 15 14 14 14 14 14 14 13 13 13 12 13 14 14 15 15 13 14 14 13 13 13 14 15 15 13 12 12 12 12 12 13 13 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 8 7 6 8 10 14 16 17 17 16 15 13 11 11 12 12 10 6 3 4 8 12 15 14 13 13 15 17 18 18 15 14 14 16 17 16 15 16 18 16 10 8 8 7 4 3 3 3 5 9 12 14 15 15 14 12 12 11 13 16 18 18 20 22 21 16 11 13 19 21 22 19 17 15 14 14 14 12 10 9 8 8 10 14 17 15 12 11 11 12 12 12 11 10 10 10 10 9 10 11 12 15 14 12 11 11 11 12 11 11 11 11 10 9 8 8 8 9 10 11 12 11 11 11 11 12 12 12 11 11 11 10 10 10 10 9 9 9 8 9 9 9 10 9 10 10 11 11 10 9 7 8 10 15 18 16 14 13 12 11 11 11 10 11 11 12 12 12 12 11 11 11 11 11 8 6 5 10 15 15 13 14 14 13 13 13 12 10 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 13 13 12 11 10 9 9 9 9 11 11 11 11 10 10 11 11 12 13 13 13 13 13 13 14 13 13 13 13 13 13 13 13 13 13 12 12 11 12 12 12 13 14 14 14 13 13 14 14 14 13 12 12 12 13 13 13 13 13 13 14 13 13 14 14 13 13 14 14 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 12 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 11 12 14 15 14 12 11 11 12 12 12 12 12 13 12 12 13 13 14 13 13 13 13 13 13 13 13 12 14 16 19 19 18 16 13 12 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 14 13 14 15 14 14 16 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 14 12 12 11 12 13 13 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 36 39 38 31 28 31 38 44 44 42 38 35 38 44 49 50 48 43 39 36 34 36 37 39 42 44 41 32 25 27 31 33 29 23 21 18 17 15 14 13 11 10 8 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 2 1 2 3 4 4 4 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 12 10 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 6 11 16 18 18 17 17 18 19 21 21 20 19 17 15 20 28 25 15 3 13 40 64 74 68 62 62 68 74 81 88 94 103 114 123 125 117 98 72 45 37 41 45 41 37 38 40 40 38 35 30 21 14 11 9 6 7 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 6 11 9 0 0 15 39 50 50 50 58 69 89 108 121 125 125 126 124 118 104 93 99 119 118 100 95 114 138 151 157 154 148 142 137 140 151 151 151 156 164 168 167 167 165 156 142 136 135 137 143 145 142 146 158 171 161 132 103 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 31 31 28 24 22 24 30 39 40 38 35 35 40 44 45 41 32 28 25 22 20 21 25 30 34 36 36 33 30 33 40 44 39 29 21 18 16 14 13 12 11 9 7 6 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 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 2 6 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 10 8 5 3 1 0 0 0 0 0 0 0 0 0 2 5 3 2 3 6 9 7 1 2 5 8 12 14 15 16 16 18 20 20 19 18 16 14 11 9 4 1 0 1 17 47 59 52 46 51 60 66 71 75 77 81 87 95 102 102 90 66 42 31 32 34 34 34 37 38 37 34 31 27 19 11 11 7 2 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 4 0 2 14 42 52 45 35 32 38 64 89 117 130 123 116 114 113 106 100 102 111 111 105 114 129 137 141 143 143 141 135 129 127 128 127 126 126 126 135 144 153 159 150 133 128 129 130 134 137 138 141 153 170 175 160 128 107 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 nan nan 21 24 24 24 24 23 22 26 34 40 40 34 31 41 40 35 28 22 21 20 18 15 14 16 20 23 25 28 32 34 38 43 44 39 28 20 17 16 15 14 12 10 9 7 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 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 1 11 16 14 13 13 14 14 12 3 1 1 2 6 10 12 13 15 17 17 16 16 14 12 8 4 1 0 0 0 0 10 37 48 30 19 30 44 51 57 60 59 62 63 66 73 76 70 52 40 33 31 32 32 32 34 32 28 23 18 14 10 10 10 6 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 4 3 2 0 4 10 6 3 14 26 36 39 32 22 14 24 62 97 125 142 132 116 111 112 112 110 108 106 107 108 115 122 126 127 131 134 136 136 136 132 126 120 117 115 114 115 122 135 148 150 140 129 127 127 127 128 128 132 142 159 179 183 156 123 112 nan nan nan nan nan nan nan nan nan nan 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 18 20 20 21 22 22 24 31 40 44 40 36 40 36 27 21 19 20 22 23 19 15 16 17 19 20 25 28 30 32 32 31 28 19 15 17 17 16 15 13 10 9 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 7 15 17 16 16 15 14 13 8 7 5 6 3 3 5 4 6 9 12 14 14 10 5 1 0 0 0 0 0 2 10 28 36 18 4 9 20 27 31 33 32 35 31 33 43 49 51 40 36 32 30 29 29 28 28 24 17 11 7 3 2 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 4 1 3 7 5 6 15 17 16 15 15 18 31 68 112 139 146 148 136 123 116 116 117 118 118 116 114 114 115 117 118 119 122 126 130 136 142 141 134 127 122 119 119 116 115 122 136 147 147 138 131 129 127 123 122 127 136 150 174 195 180 145 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 11 13 13 14 16 18 20 30 42 43 43 42 38 31 23 18 17 18 23 27 26 21 20 22 23 25 24 22 21 20 18 18 16 11 9 12 15 17 17 14 12 10 8 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 11 12 10 11 12 11 10 9 10 5 1 1 0 0 4 12 14 10 4 1 0 0 0 2 1 0 4 12 19 17 8 0 0 2 7 8 9 12 13 13 20 22 29 32 33 28 26 26 23 20 18 22 17 12 9 6 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 6 18 22 18 29 66 117 151 159 152 145 133 128 124 122 121 123 126 127 124 122 121 120 117 113 114 114 117 122 128 130 127 122 119 117 117 115 116 116 124 140 149 147 137 130 123 118 118 124 132 145 168 197 199 170 147 nan nan nan nan nan nan nan nan nan nan 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 5 7 8 8 9 10 13 27 37 33 37 37 34 26 20 18 20 21 25 30 34 33 30 29 28 27 24 20 16 12 10 11 12 10 10 11 13 16 17 17 16 13 10 7 5 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 3 6 6 4 4 5 3 0 1 5 11 15 17 17 10 3 1 0 0 3 10 11 7 13 26 35 26 7 0 0 0 0 1 1 1 0 0 1 8 16 18 19 16 15 13 10 13 14 15 14 12 11 9 2 0 1 1 0 0 4 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 1 3 4 14 36 48 48 54 90 125 145 148 148 140 130 127 128 127 125 124 124 126 127 128 127 124 120 116 112 109 106 106 106 107 108 108 108 110 114 120 123 121 118 127 139 145 139 126 115 111 111 115 123 139 159 194 212 193 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 2 3 4 4 4 3 7 18 27 25 27 27 26 20 16 18 22 24 27 30 35 35 33 32 29 28 26 22 16 12 10 12 13 14 15 15 16 16 17 17 18 17 14 10 7 5 5 5 5 5 4 4 4 4 3 3 2 2 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 4 3 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 3 9 14 16 16 14 7 0 0 0 2 9 20 22 23 29 36 41 30 11 1 0 0 0 0 0 0 0 0 1 2 8 10 6 7 6 3 2 5 5 9 12 12 12 10 4 1 4 4 1 1 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 1 7 13 14 32 52 59 70 72 100 115 124 139 146 138 128 122 125 129 130 129 126 122 125 127 127 124 120 117 113 108 102 96 92 88 89 92 97 101 109 122 134 134 124 117 125 136 135 122 109 104 106 107 115 131 151 178 200 204 188 nan nan nan nan nan nan nan nan nan 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 1 1 0 4 13 18 17 14 14 16 13 11 13 19 24 28 31 33 32 29 28 26 27 29 27 22 17 14 15 16 18 19 19 19 18 18 17 18 18 16 13 10 7 5 5 5 5 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 2 2 2 3 4 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 1 2 3 8 13 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 13 12 10 7 2 0 0 0 3 14 22 22 20 23 28 33 26 16 3 0 0 0 0 0 0 0 1 3 4 4 5 1 2 1 0 0 0 0 0 4 7 10 9 3 0 1 2 1 2 4 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 5 12 11 24 49 58 65 70 67 69 75 99 126 139 135 126 120 119 124 133 139 137 132 129 127 126 124 120 116 112 108 102 95 88 80 76 79 89 93 100 115 136 146 136 121 116 120 121 116 108 104 105 108 113 125 142 164 187 203 200 192 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 0 0 0 2 8 12 11 9 7 7 6 6 8 13 18 24 28 30 26 24 25 25 27 30 31 28 23 20 19 18 19 21 21 20 20 19 19 18 18 16 13 12 9 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 22 19 12 5 1 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 3 7 7 5 3 2 0 0 0 0 2 10 14 11 6 5 7 17 25 20 5 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 1 4 3 1 0 0 0 0 0 2 1 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 14 34 52 68 74 69 64 69 87 112 129 131 124 116 109 112 127 143 146 143 137 131 127 125 122 118 112 108 103 99 93 84 77 75 84 87 92 106 128 144 143 128 115 110 110 110 108 106 107 110 113 120 133 150 173 196 202 196 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 2 6 7 5 2 2 2 2 4 6 8 12 17 19 19 21 24 26 28 30 32 31 28 24 23 21 18 18 18 18 18 18 18 17 16 14 12 12 10 6 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 8 9 9 7 6 6 5 4 4 4 3 3 3 3 3 3 2 2 3 3 4 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 1 6 8 8 15 25 25 20 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 3 4 2 1 0 0 0 0 0 0 0 3 3 2 0 0 0 2 13 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 43 65 75 72 66 67 78 99 120 130 123 109 97 96 110 130 138 137 133 128 122 119 116 113 108 105 98 93 89 88 89 87 86 85 87 96 118 140 144 128 110 105 106 107 108 108 109 113 117 120 126 137 157 183 196 193 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 1 2 3 6 10 13 17 20 22 23 24 27 28 28 28 28 26 19 15 15 16 16 16 15 14 14 14 12 11 10 8 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 9 12 11 10 9 9 9 8 6 4 3 3 3 3 3 3 3 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 8 8 8 16 27 30 27 23 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 1 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 11 33 56 69 71 70 71 78 90 111 128 125 111 94 88 96 107 110 110 108 108 108 103 98 98 96 92 87 81 79 82 89 93 91 87 83 86 106 134 144 132 117 112 112 110 110 110 111 117 126 128 122 125 142 169 182 182 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 12 12 14 17 20 23 25 27 26 20 14 14 16 16 16 15 12 12 13 12 9 10 9 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 5 9 12 10 9 8 8 7 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 10 10 12 18 26 31 32 27 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 2 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 1 6 9 8 6 3 1 0 0 1 1 2 2 4 6 6 3 0 0 1 8 24 44 59 66 69 73 78 84 100 126 137 126 108 96 95 97 92 85 86 88 94 94 90 89 91 88 84 80 79 80 88 95 96 92 86 83 95 122 138 134 128 127 124 119 116 111 108 116 130 138 133 127 134 154 169 171 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 0 0 0 0 0 0 2 4 5 6 8 10 13 12 13 15 18 20 21 18 14 12 11 9 8 6 7 8 7 4 3 3 3 3 3 4 5 6 8 8 8 7 6 5 4 4 4 3 2 2 2 3 5 7 7 6 6 5 5 5 6 6 6 6 6 6 6 5 4 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 7 10 14 17 17 20 26 34 34 21 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 13 10 5 3 4 6 5 4 3 3 5 8 8 4 2 2 5 16 27 40 56 65 68 69 73 79 94 113 120 118 114 112 109 105 98 90 83 81 87 98 109 116 113 108 107 105 106 106 110 117 120 107 90 90 111 126 133 144 155 153 144 135 129 124 118 122 145 164 157 142 149 166 172 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan 0 0 0 2 3 2 2 3 2 3 3 2 2 1 0 0 0 0 0 0 1 4 8 12 13 11 5 2 3 5 6 5 4 4 3 5 8 10 10 10 10 10 10 10 11 11 10 8 6 5 5 6 6 10 16 15 13 12 12 11 10 9 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 7 9 9 7 5 4 4 4 5 5 6 6 7 7 6 6 7 7 6 5 3 3 3 3 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 3 2 0 1 2 2 4 9 15 19 21 22 24 21 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 7 8 6 4 1 0 0 2 1 3 6 7 7 6 5 3 1 0 0 0 1 2 3 3 3 10 21 31 41 47 53 64 78 90 96 102 101 97 91 84 82 85 89 93 94 98 112 129 139 139 137 141 147 151 151 144 131 125 143 174 171 137 126 128 138 146 123 91 84 101 135 153 140 138 169 194 193 188 188 178 149 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 0 1 2 4 5 6 5 5 4 4 5 4 4 4 3 2 3 2 1 0 1 4 6 8 9 8 6 4 6 10 12 11 8 5 3 4 7 10 11 10 10 10 10 9 9 9 9 8 6 4 4 4 5 7 13 15 13 12 12 13 13 12 10 8 6 4 4 4 4 4 4 4 4 5 5 5 5 5 5 8 12 12 8 4 3 4 4 5 6 6 6 6 6 6 6 7 7 7 4 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 1 2 7 13 18 20 21 22 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 2 8 9 10 18 24 24 15 8 7 7 5 5 6 7 8 7 5 3 0 0 0 0 0 0 0 0 0 4 16 28 38 42 44 53 68 78 85 96 107 106 98 87 80 79 81 85 93 102 112 122 130 130 130 134 137 137 139 145 144 128 125 158 185 146 130 128 136 140 121 89 70 74 98 125 125 122 152 189 202 204 202 198 183 165 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 4 4 5 6 6 6 5 5 5 4 4 4 4 5 7 8 3 1 2 3 5 5 5 4 3 4 7 11 14 11 7 3 1 1 3 6 8 8 8 8 9 10 10 9 9 9 7 5 4 4 4 5 8 13 12 11 12 13 13 12 11 10 6 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 8 11 11 10 7 4 3 4 5 6 6 6 6 6 6 7 7 7 5 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 1 5 11 16 19 20 20 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 0 0 0 0 0 0 0 1 3 5 5 2 0 0 0 0 1 2 2 0 3 6 7 9 22 39 46 40 32 26 21 15 10 6 5 6 7 6 4 1 0 0 0 0 0 0 0 0 2 13 25 38 44 42 46 58 66 71 77 86 90 91 86 78 74 76 80 89 103 116 125 126 122 122 126 128 124 122 131 144 141 131 134 156 156 146 138 137 138 129 102 77 65 67 81 99 121 156 178 189 203 204 204 207 200 nan nan nan 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 3 3 3 3 5 6 7 6 5 4 3 2 2 4 8 12 7 3 2 3 3 2 1 1 1 1 4 8 11 10 6 2 0 0 0 1 1 2 3 5 7 9 10 10 10 9 9 7 5 4 4 4 7 11 12 11 10 11 11 11 10 10 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 10 10 6 4 4 4 5 6 6 6 6 6 6 7 7 6 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 3 9 15 19 20 19 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 6 5 4 3 1 0 0 0 0 2 4 5 6 6 3 1 0 1 4 9 10 7 4 5 7 8 8 19 33 42 45 45 44 41 34 23 12 7 7 7 8 6 3 2 0 0 0 0 0 0 0 1 12 22 36 45 45 45 51 59 64 67 71 74 78 78 74 71 74 78 86 100 117 131 130 124 124 126 125 122 118 121 133 146 152 149 152 158 154 145 139 138 136 125 110 98 87 86 105 140 151 114 127 165 181 190 203 206 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 12 9 6 2 1 0 1 3 5 10 12 11 8 6 3 1 3 7 11 10 4 3 3 3 3 1 0 0 0 1 5 11 13 10 5 2 0 0 0 0 0 1 1 2 4 6 9 10 9 9 8 4 3 3 4 6 10 12 10 8 6 6 7 7 7 6 3 2 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 6 7 6 4 3 4 4 5 5 6 6 6 6 6 7 6 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 14 17 19 18 13 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 11 15 14 11 10 8 7 4 0 0 0 0 2 4 6 7 7 7 7 4 3 10 16 16 13 10 10 12 14 16 21 24 20 19 26 36 45 49 46 35 22 17 17 18 14 11 8 4 1 0 0 0 0 0 0 9 21 34 45 49 48 50 54 59 64 70 74 76 74 71 69 72 75 81 95 113 127 130 132 135 132 126 121 118 118 125 137 150 160 158 154 150 144 140 138 136 136 141 151 150 146 153 167 138 81 71 98 126 153 179 194 nan nan 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 15 15 10 4 0 0 0 1 2 9 13 13 12 11 9 7 6 8 11 11 8 5 3 4 3 1 0 0 0 0 4 12 16 16 11 4 1 0 0 0 0 0 0 0 0 2 5 7 8 8 7 3 2 2 3 5 8 10 8 5 3 2 2 2 2 2 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 2 3 4 4 3 3 4 4 4 4 4 5 5 5 5 4 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 12 15 17 16 12 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 16 17 15 14 12 10 6 1 0 0 0 0 1 3 6 8 14 16 10 8 12 16 20 18 16 16 22 30 36 37 31 20 10 5 11 23 40 56 63 57 40 28 25 25 24 21 15 7 3 0 0 0 0 0 7 20 35 47 54 53 51 52 54 57 66 74 76 75 69 68 69 70 75 88 106 119 127 138 146 143 132 122 116 114 115 120 130 140 146 149 146 141 142 146 141 138 146 167 184 191 193 186 145 86 55 59 77 108 142 164 173 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 15 17 10 3 0 0 0 0 2 6 10 11 11 13 15 15 13 13 14 15 14 11 8 6 5 2 0 0 0 0 3 9 15 18 16 10 5 2 0 0 0 0 0 0 0 0 1 3 5 6 5 2 1 0 1 2 4 6 5 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 1 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 12 14 16 14 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 8 7 5 4 3 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 13 15 15 14 12 9 7 3 0 0 0 0 0 0 1 5 18 21 18 15 13 16 20 21 21 22 26 32 38 43 42 37 25 8 4 5 15 33 54 79 73 48 29 28 31 32 27 18 8 2 1 0 0 1 8 24 40 53 60 58 53 52 50 49 56 66 70 71 68 67 68 69 72 84 100 111 122 137 150 150 137 122 112 106 104 104 112 125 138 147 146 140 141 153 158 155 155 163 177 190 198 195 168 121 79 69 78 100 118 126 136 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 6 14 18 7 1 0 2 2 1 2 6 7 5 6 9 12 15 16 16 16 18 18 18 17 15 11 6 3 2 0 0 1 4 9 14 17 15 11 7 3 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 2 3 3 2 2 4 3 2 2 3 4 4 4 4 4 4 4 2 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 12 13 16 16 12 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 4 7 9 8 8 7 7 7 7 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 6 3 2 6 5 2 1 0 0 0 0 0 5 17 22 22 19 16 16 18 19 19 19 17 16 20 26 32 38 40 38 24 11 5 7 22 50 71 73 55 40 36 35 31 25 16 9 4 2 0 1 8 22 37 50 59 60 54 50 47 46 46 52 57 61 62 64 67 69 72 81 94 105 115 129 145 149 137 120 108 100 94 95 106 120 136 149 148 137 134 150 168 177 179 179 180 182 189 195 187 163 126 103 102 112 113 108 111 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 11 17 18 8 0 0 6 7 6 7 10 6 2 1 3 5 7 10 12 14 16 19 22 25 25 20 13 10 7 4 1 0 1 3 7 11 12 11 9 5 1 0 0 0 0 0 0 0 0 0 2 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 5 6 5 3 2 2 3 3 4 4 4 4 2 1 0 0 0 1 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 9 13 16 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 3 4 6 5 4 4 6 7 7 7 7 7 7 7 7 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 1 1 0 1 6 7 7 3 1 0 0 0 0 1 10 19 21 20 16 14 13 12 9 7 6 5 5 7 13 20 30 43 46 38 24 6 5 18 41 67 76 66 49 37 32 29 22 15 10 6 3 0 3 12 26 37 46 52 50 45 39 36 34 36 41 47 50 55 62 68 73 79 89 98 108 120 134 138 131 118 106 97 85 88 105 122 142 158 157 138 125 136 159 179 190 195 197 192 187 190 197 198 172 140 125 124 116 107 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 16 17 15 9 2 1 5 10 10 11 12 9 2 0 0 0 0 2 4 6 9 12 17 22 24 22 17 15 14 10 5 1 0 0 0 0 3 5 4 2 0 0 0 0 0 0 0 0 0 0 3 6 7 6 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 2 6 7 7 5 4 3 3 3 3 4 4 2 1 0 0 0 0 0 1 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 3 7 15 14 10 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 3 6 8 6 3 1 1 2 3 3 4 5 7 7 6 6 6 7 6 6 7 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 0 0 0 0 0 0 2 6 7 7 4 2 1 0 0 0 0 4 12 17 17 14 10 6 2 1 0 0 0 0 1 2 9 15 30 43 49 41 17 4 3 15 40 71 82 66 43 29 29 28 24 18 11 7 1 0 1 10 20 28 34 38 37 32 28 23 22 27 32 37 42 50 60 71 78 84 90 100 110 118 120 118 115 106 95 81 79 95 116 142 166 170 152 135 132 142 156 172 185 196 197 192 188 198 208 181 154 131 132 135 131 124 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 18 17 16 15 10 3 0 4 9 11 11 12 13 6 3 2 1 0 0 1 0 0 2 6 11 14 14 15 15 17 16 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 4 5 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 7 5 4 4 4 3 3 4 2 1 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 14 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 4 7 8 5 1 0 0 0 0 1 3 6 8 8 7 7 6 7 7 6 6 6 7 6 7 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 1 3 4 5 7 7 7 7 8 6 1 0 0 0 0 0 3 5 6 6 4 3 2 2 2 1 0 1 5 10 13 13 12 8 4 1 0 0 0 0 0 0 5 11 17 29 42 45 29 11 2 5 20 48 77 80 58 35 27 26 26 23 14 8 2 0 0 1 4 11 19 28 34 33 26 17 12 16 20 24 28 35 48 65 76 80 82 90 96 98 97 99 104 105 98 86 80 87 100 121 148 168 167 152 135 133 135 142 156 174 184 187 184 188 190 160 120 102 112 134 152 164 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 14 12 13 10 3 0 2 6 8 9 12 17 15 12 9 6 3 4 5 3 1 0 3 6 8 9 10 12 14 15 14 11 8 4 1 0 0 0 0 0 1 2 2 1 1 1 4 4 1 0 0 0 1 2 3 6 7 4 2 0 0 0 0 1 1 1 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 6 6 6 5 4 3 3 2 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 3 9 13 12 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 2 2 4 4 2 0 0 0 0 0 0 2 5 8 9 9 8 6 7 7 6 6 6 5 5 6 6 6 6 6 4 3 2 1 0 0 0 0 0 0 0 3 7 8 9 10 9 8 7 6 4 1 0 0 0 0 0 0 2 2 3 4 4 4 3 3 2 2 2 2 3 6 14 16 16 13 9 5 2 0 0 0 0 2 9 14 20 31 40 37 25 14 11 14 28 57 81 76 54 33 24 25 24 19 9 2 0 0 0 1 3 9 22 34 35 25 10 3 6 13 17 16 18 34 56 69 74 77 81 82 79 77 78 84 93 96 94 91 92 94 98 114 140 157 158 156 143 133 130 134 144 156 165 167 167 169 155 125 105 102 128 166 193 194 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 11 11 6 2 0 1 4 6 13 20 22 20 18 13 9 7 8 8 8 7 9 10 10 9 9 10 10 12 13 15 15 13 8 4 1 0 0 2 3 5 6 6 5 7 10 10 5 1 0 0 0 0 1 4 7 7 4 2 0 0 0 2 3 2 2 0 0 0 1 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 6 7 7 6 4 3 3 1 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 2 8 12 12 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 2 4 6 8 8 7 7 7 7 7 6 5 5 5 5 5 6 6 6 4 2 1 0 0 0 0 0 0 0 3 6 7 8 8 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 2 3 2 4 10 16 20 20 18 15 10 3 0 0 0 0 5 11 15 22 31 37 34 30 26 17 18 35 63 74 64 54 46 34 26 21 12 4 0 0 0 0 0 4 15 28 32 23 11 1 0 5 8 11 13 27 49 63 68 70 72 71 68 66 66 70 78 88 94 100 101 99 92 92 107 122 130 141 146 143 136 131 129 131 136 138 136 141 156 158 155 146 152 169 189 200 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 9 11 12 12 12 9 5 1 0 2 7 14 20 22 23 21 16 10 7 7 8 10 11 13 13 13 12 10 10 10 10 14 19 22 21 17 11 7 4 2 2 4 8 9 10 11 13 17 17 12 5 1 0 0 0 0 2 6 9 8 4 2 1 1 3 4 5 4 2 2 3 4 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 7 8 7 6 3 2 2 1 0 0 0 0 0 1 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 1 6 11 12 10 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 3 1 0 0 1 1 1 1 2 1 1 0 0 0 0 2 4 6 8 8 7 7 7 6 5 6 6 4 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 2 3 6 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 3 3 3 3 3 4 10 17 20 20 18 14 7 2 0 0 0 1 4 10 16 22 26 26 31 35 29 24 31 41 45 46 58 69 62 45 32 21 11 3 0 0 0 0 1 7 16 17 15 8 0 0 0 1 2 10 27 48 64 70 71 70 67 62 62 64 67 72 79 87 98 105 103 96 90 92 96 97 102 116 130 136 134 129 123 118 112 107 107 121 149 178 190 190 194 192 195 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 17 17 16 15 13 11 9 6 4 5 9 12 15 18 19 18 14 9 6 6 7 8 11 13 15 15 14 15 14 14 14 19 24 26 26 24 21 16 10 7 6 6 8 9 10 11 15 23 26 24 14 4 1 0 0 0 2 7 12 12 9 7 5 5 5 6 6 5 4 5 7 9 9 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 8 7 4 2 2 2 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 11 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 3 3 1 0 0 1 2 2 2 2 2 1 0 0 0 0 0 1 2 5 8 9 8 8 7 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 4 4 4 4 5 10 15 18 19 16 9 2 0 0 0 0 1 5 13 19 18 14 18 25 30 34 40 41 30 21 36 66 80 72 59 46 31 16 3 0 0 0 0 1 5 10 12 5 1 0 0 0 0 6 24 50 70 80 83 81 73 66 67 68 68 70 74 80 89 99 102 97 90 89 87 83 80 84 96 112 125 130 124 115 104 94 86 88 115 155 181 191 194 195 193 192 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
55 47 37 27 20 18 16 14 10 8 7 8 9 10 12 12 12 8 7 6 7 7 8 10 12 16 20 23 25 24 23 23 24 26 27 26 26 24 20 14 10 8 8 8 9 9 10 14 23 31 34 30 18 10 6 4 3 2 7 14 18 18 20 19 16 12 9 7 6 5 8 12 14 16 14 11 6 4 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 6 8 8 8 7 5 3 2 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 11 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 3 3 3 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 4 8 10 10 10 10 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 0 0 0 0 0 0 0 0 0 0 0 3 5 5 4 4 4 4 5 7 12 17 18 10 1 0 0 0 0 0 1 11 19 18 12 9 10 13 28 42 49 36 15 12 33 58 64 64 61 54 39 15 3 0 0 0 0 0 1 4 3 1 1 0 0 0 4 21 53 76 90 98 98 89 78 77 78 78 74 71 73 78 85 91 91 89 90 88 84 79 75 75 88 108 127 131 121 108 97 88 85 96 119 142 159 172 179 180 180 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
88 80 68 51 35 28 24 20 17 12 10 9 9 8 8 8 8 6 6 8 10 9 8 8 11 17 25 31 35 35 32 29 27 26 25 24 23 23 21 18 13 11 10 9 9 8 8 10 17 27 35 41 42 35 29 22 17 12 12 17 22 26 30 32 28 22 16 12 9 8 11 14 16 19 20 18 13 8 4 3 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 3 8 9 8 8 7 4 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 1 4 8 11 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 3 3 2 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 4 8 10 10 11 10 6 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 1 4 4 3 2 2 2 3 5 7 13 16 12 4 0 0 0 0 0 0 9 18 20 14 8 5 6 15 32 44 38 16 4 5 11 21 29 36 44 47 41 24 8 1 0 0 0 0 1 3 4 2 0 0 0 1 14 51 76 90 102 110 102 92 90 90 89 84 77 72 70 73 77 82 84 88 88 88 86 78 74 82 99 120 134 135 125 112 98 90 90 96 103 114 133 164 170 172 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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4 3 3 3 3 4 4 4 3 3 3 2 1 1 2 3 3 4 6 9 12 16 18 17 17 19 22 24 25 24 22 26 36 50 55 52 45 34 24 16 11 10 13 19 23 24 23 21 19 15 11 12 23 36 41 41 37 29 26 27 33 38 39 34 27 20 16 14 14 17 20 22 24 25 26 25 29 39 51 50 38 38 47 53 53 50 45 45 50 61 72 76 65 42 30 26 20 15 11 8 5 4 2 2 2 2 1 0 0 0 1 1 1 2 6 9 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 4 4 4 4 4 4 5 6 5 4 3 2 1 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 8 20 22 18 12 7 2 2 3 5 5 4 3 3 4 4 5 4 1 0 0 1 2 3 4 3 4 9 18 25 30 30 32 32 27 20 13 6 0 1 4 8 22 42 54 58 60 62 71 84 97 110 124 129 128 120 108 99 90 84 78 73 72 72 73 72 70 71 73 76 81 87 92 97 100 100 97 93 88 82 78 72 66 64 62 63 62 54 47 47 51 61 73 83 90 94 95 93 88 79 71 67 67 72 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
3 1 2 4 4 4 4 2 2 3 4 3 2 1 1 0 1 1 2 4 9 15 19 20 19 19 19 19 20 21 20 20 24 34 46 54 55 50 41 29 17 10 8 12 18 22 23 23 21 18 14 11 14 23 31 32 26 18 17 20 27 29 24 20 19 21 25 27 27 26 30 33 32 32 30 27 26 30 39 49 49 51 58 64 64 60 54 52 55 64 74 79 72 55 38 34 28 20 15 11 6 4 3 3 3 3 3 3 3 2 1 1 1 1 2 4 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 5 5 5 4 4 5 5 6 7 7 7 6 5 6 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 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 21 22 15 8 3 1 0 1 3 4 4 4 3 1 1 2 1 0 0 0 0 0 1 2 1 5 19 35 48 50 44 45 41 30 19 11 4 0 0 1 3 13 29 42 52 56 56 59 65 73 83 102 118 127 128 125 122 119 115 106 96 90 88 87 87 85 89 93 97 100 105 110 112 113 114 112 110 106 100 94 86 78 71 64 61 60 53 43 37 37 43 54 66 79 89 95 97 97 94 87 80 75 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 5 6 8 8 5 3 1 0 1 1 1 2 2 2 2 2 1 0 1 4 11 16 18 19 20 19 18 18 19 19 18 17 20 30 42 51 53 52 49 37 18 8 8 12 18 22 23 22 20 16 12 11 13 17 18 15 14 15 18 24 26 21 20 22 27 32 35 35 35 39 43 43 40 34 28 24 22 25 32 44 56 64 67 67 62 56 54 56 62 71 78 79 70 55 44 37 25 18 15 4 1 3 4 3 2 0 1 3 4 2 7 8 5 4 3 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 6 5 5 5 6 6 6 7 7 8 7 8 8 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 21 21 13 4 1 0 0 1 2 3 3 4 4 2 3 4 4 3 1 0 0 0 0 0 2 14 30 52 68 67 58 50 39 26 14 6 1 0 0 0 1 7 19 29 40 48 51 52 56 63 66 70 86 100 111 118 123 129 131 129 123 116 109 106 106 108 110 114 115 116 118 121 124 122 123 124 123 123 121 114 107 101 95 87 79 74 66 54 41 34 33 37 46 57 69 81 87 92 95 96 94 89 83 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 14 15 15 12 8 3 1 0 0 0 2 3 4 4 4 4 3 2 2 4 7 12 15 17 18 20 19 17 18 19 18 17 16 19 27 35 39 43 51 52 31 14 10 12 16 20 21 21 21 18 14 14 13 13 14 17 21 25 30 33 34 32 29 29 30 32 34 37 39 42 45 46 48 43 35 26 20 18 26 41 54 61 62 60 54 49 51 58 63 69 77 81 77 66 52 40 29 20 22 4 2 4 6 6 4 2 2 6 10 12 18 14 7 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 19 19 11 4 1 0 0 1 2 1 3 4 4 7 12 15 14 11 7 2 0 0 0 2 10 20 36 63 76 69 55 43 32 19 8 2 0 0 0 0 0 3 11 19 26 32 40 45 49 55 59 60 64 70 78 89 103 115 124 129 128 123 117 111 109 110 112 111 110 109 107 109 112 112 113 116 118 120 121 118 114 110 109 107 101 96 90 80 65 48 38 33 34 39 47 59 70 77 83 90 95 96 94 93 nan nan nan nan nan nan nan nan nan nan nan nan nan
16 20 21 20 18 13 8 5 3 2 3 3 4 5 5 5 5 6 5 4 4 5 7 10 13 16 19 20 19 18 19 20 20 18 16 17 18 20 24 35 48 42 23 15 15 17 19 18 18 18 18 17 17 18 17 18 20 26 36 43 44 42 39 36 32 29 27 30 35 40 44 46 48 52 58 48 35 24 20 27 38 46 48 50 50 47 44 50 66 72 76 80 82 78 69 55 42 31 24 23 15 11 12 11 10 8 7 7 10 16 20 19 11 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 1 3 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 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 7 16 17 11 6 4 2 2 2 1 1 3 3 5 14 22 26 23 17 13 6 0 0 0 4 17 28 49 72 78 66 48 38 30 19 7 2 2 1 1 0 0 1 5 10 15 20 26 32 42 48 52 55 56 55 54 60 74 87 100 111 116 115 109 104 101 101 101 99 95 89 84 81 83 86 89 93 97 101 103 103 102 100 100 102 102 101 100 97 89 77 60 44 34 30 33 41 53 62 69 75 82 88 94 98 nan nan nan nan nan nan nan nan nan nan nan nan nan
14 19 22 23 23 21 17 13 10 7 5 6 7 7 8 8 9 10 9 6 5 5 5 7 12 16 19 20 21 21 22 22 23 22 20 16 13 12 12 19 34 41 34 24 20 20 19 15 13 14 16 18 19 20 21 20 18 22 33 44 47 44 39 35 32 28 24 28 37 45 50 50 47 49 53 48 34 28 26 33 38 36 36 41 45 45 44 52 71 81 86 89 89 86 74 58 44 34 30 31 31 29 24 18 14 12 13 15 18 24 25 18 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 5 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 17 18 12 8 6 5 3 2 2 2 2 2 5 20 42 52 38 19 13 6 0 0 0 12 32 54 73 82 78 63 47 39 32 23 12 6 4 4 3 2 1 0 1 2 5 7 16 21 31 37 43 48 50 51 50 49 52 58 67 84 97 103 102 99 96 96 97 94 88 78 71 65 62 62 66 70 76 80 83 84 83 84 83 83 84 85 87 90 92 90 78 59 42 30 27 31 39 48 55 59 64 70 78 88 nan nan nan nan nan nan nan nan nan nan nan nan nan
13 16 19 21 22 25 23 18 15 15 16 15 14 12 12 13 14 14 13 10 8 8 9 10 15 17 17 20 23 24 24 24 23 23 22 19 15 13 12 11 20 34 38 36 31 27 20 12 8 9 12 15 18 20 22 22 19 17 22 34 42 43 39 36 34 30 27 31 44 52 52 46 40 40 45 41 32 29 30 34 35 31 33 42 50 50 51 61 76 85 89 87 82 83 68 56 45 39 39 42 44 41 34 26 21 19 20 22 25 28 25 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 7 6 6 6 7 8 9 10 11 10 9 9 9 9 7 7 7 7 8 8 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 20 22 14 9 7 5 3 1 1 3 2 0 5 21 46 66 56 27 10 4 1 2 10 30 56 76 84 82 72 58 47 42 34 26 16 9 5 4 4 4 3 1 0 0 1 2 8 14 18 25 32 37 42 45 46 45 43 43 44 56 73 87 95 97 96 95 96 95 90 82 72 62 56 52 51 54 60 65 67 68 68 68 69 68 65 63 64 70 76 80 76 62 44 30 24 23 26 32 40 43 46 50 57 67 nan nan nan nan nan nan nan nan nan nan nan nan nan
11 14 16 17 18 19 19 16 13 16 20 22 21 20 19 19 19 18 16 16 15 14 14 15 15 14 15 18 22 25 26 25 23 21 21 19 17 15 13 9 8 17 28 37 41 33 19 10 5 8 12 15 17 20 22 23 22 17 15 20 32 41 41 39 37 34 32 36 46 51 46 32 22 25 37 41 37 33 32 32 32 31 34 45 57 62 61 67 77 84 87 84 80 80 69 57 53 50 50 53 54 52 45 37 32 29 29 27 28 27 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 7 6 6 8 10 12 13 14 14 13 13 14 14 13 11 8 7 7 8 8 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 30 17 9 7 4 2 0 2 3 2 0 3 15 37 60 67 41 15 6 3 9 32 65 81 80 74 66 55 44 44 42 32 24 15 8 4 3 3 4 4 3 2 1 0 0 2 7 13 18 22 25 34 37 40 40 40 38 38 39 48 63 77 88 91 89 89 90 87 82 74 63 49 41 39 41 47 51 53 53 52 53 56 56 52 46 46 51 57 61 60 50 36 23 16 16 18 19 25 28 30 34 40 47 49 nan nan nan nan nan nan nan nan nan nan nan nan
11 12 14 14 14 14 14 14 14 17 24 26 26 25 24 23 22 21 20 20 20 20 19 18 16 15 15 16 19 24 26 26 24 21 19 18 16 15 14 11 7 10 15 26 37 32 19 10 9 14 18 18 19 20 22 24 24 21 16 14 20 30 35 36 36 37 36 36 42 48 43 27 11 12 22 33 36 33 30 29 30 33 36 44 61 71 70 69 72 76 78 82 84 81 76 73 65 58 57 58 58 56 52 47 43 41 39 30 25 22 19 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 8 8 6 6 6 7 10 13 14 14 14 14 14 14 15 15 15 12 8 7 8 8 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 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 19 36 35 19 8 6 3 0 0 3 4 2 0 1 6 24 43 63 52 31 19 18 30 53 73 72 60 51 43 38 34 34 32 29 20 11 5 3 2 2 3 4 4 4 3 1 0 1 3 8 16 19 21 28 32 34 35 35 34 34 35 38 44 53 64 74 75 74 74 73 68 58 47 40 33 29 29 32 38 42 43 43 44 46 48 45 40 39 42 45 48 47 40 29 20 15 15 15 14 15 16 16 19 25 32 37 nan nan nan nan nan nan nan nan nan nan nan nan
11 13 14 13 12 12 14 16 17 20 23 24 24 24 23 22 21 21 22 24 24 24 24 21 17 14 12 12 13 18 22 25 25 23 22 20 18 16 15 14 12 11 11 12 32 35 26 21 20 22 25 25 24 22 22 24 25 24 19 15 14 17 22 26 30 34 33 31 34 45 47 33 13 7 11 22 26 22 22 26 31 33 35 42 56 72 76 75 72 68 64 64 67 75 83 76 55 46 49 57 61 59 57 54 51 51 47 33 20 18 18 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 8 8 6 6 6 6 9 12 14 13 13 13 13 14 14 15 16 15 12 9 7 7 8 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 26 44 33 16 7 4 1 0 0 4 8 6 2 0 1 12 25 33 41 40 41 52 63 66 61 47 38 36 36 35 35 35 34 26 15 7 3 2 2 2 3 4 4 5 5 4 3 4 5 8 15 19 21 23 26 28 29 30 31 31 32 33 34 39 46 52 55 54 54 54 51 43 34 29 25 22 18 20 24 30 36 39 41 44 46 46 44 41 39 37 37 39 36 30 23 18 17 16 14 12 10 6 6 12 18 26 nan nan nan nan nan nan nan nan nan nan nan nan
11 12 13 12 12 14 18 20 21 20 20 20 21 21 20 17 16 16 19 22 23 24 24 21 18 16 13 9 7 9 15 20 23 25 25 23 21 18 17 16 14 11 9 8 16 37 34 30 29 30 31 30 29 26 24 24 24 25 21 16 13 13 15 17 21 25 27 27 32 46 51 36 15 5 7 14 17 10 15 26 33 35 35 39 50 64 73 78 76 68 58 53 60 75 84 70 44 37 46 59 63 61 58 57 55 53 46 30 19 14 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 8 7 6 5 5 7 11 13 12 12 13 13 13 14 15 16 16 15 13 9 7 7 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 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 2 13 31 41 24 11 5 2 0 1 4 11 18 16 9 3 0 4 10 16 22 31 46 64 73 55 37 26 28 34 38 39 36 33 27 18 8 4 3 2 3 3 4 4 5 5 5 6 6 6 6 7 11 15 17 19 20 20 20 20 21 25 29 30 31 34 39 44 48 51 51 49 45 37 28 20 15 13 12 13 17 23 30 34 36 38 43 43 45 43 38 37 36 36 36 33 24 20 19 18 16 14 11 7 3 2 6 14 nan nan nan nan nan nan nan nan nan nan nan nan
11 11 12 13 14 18 21 22 22 20 18 19 21 22 20 15 10 9 12 15 18 19 21 23 26 26 22 14 8 6 8 13 18 23 24 23 21 18 18 18 16 13 10 8 9 20 28 29 30 33 34 33 32 29 26 24 23 23 20 13 9 9 11 13 15 19 24 28 34 43 43 24 9 3 6 11 14 12 16 28 34 35 36 38 43 53 62 69 70 65 56 53 63 76 78 67 57 55 60 63 59 53 52 52 45 37 30 21 16 10 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 6 6 6 6 5 5 6 9 12 12 12 12 12 12 13 14 16 16 15 15 12 8 6 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 28 15 7 3 1 1 4 14 26 31 25 16 8 1 0 2 2 6 16 31 46 46 32 24 23 26 31 34 33 30 24 17 9 3 2 3 3 4 4 5 6 5 5 5 6 6 6 6 5 6 8 10 12 14 14 14 13 13 17 22 25 28 32 36 39 43 49 52 51 47 38 29 19 13 11 11 12 14 20 24 25 26 30 34 36 36 37 36 36 37 36 36 34 27 22 20 19 18 17 15 11 6 2 1 4 5 nan nan nan nan nan nan nan nan nan nan nan
12 12 13 15 17 19 20 20 21 20 18 20 22 23 21 15 10 7 8 11 14 16 19 24 29 30 28 22 16 10 8 9 13 17 21 23 22 20 18 18 18 18 16 14 13 16 23 27 29 33 35 34 33 31 28 25 22 20 14 8 4 4 6 10 13 20 30 37 38 35 27 11 3 1 5 10 14 16 18 23 26 28 32 37 40 45 47 48 52 56 54 53 61 72 76 74 70 65 59 51 42 37 34 31 22 14 11 9 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 4 5 5 5 5 5 5 5 5 5 7 11 12 12 12 12 12 13 14 15 15 15 15 14 10 7 7 7 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 9 14 12 8 5 2 1 5 15 28 37 34 26 17 7 1 0 0 0 0 4 17 28 28 21 18 17 18 20 21 18 15 13 8 4 3 4 5 5 5 7 10 9 6 6 6 6 6 6 5 4 4 4 5 6 7 7 8 8 8 11 13 16 21 27 32 35 38 42 46 48 46 41 33 25 16 12 11 11 11 12 13 12 13 14 17 20 22 24 26 27 30 32 33 32 29 22 17 15 15 16 18 15 11 6 2 1 0 nan nan nan nan nan nan nan nan nan nan nan
12 13 14 16 17 18 18 17 17 16 16 18 19 19 17 13 11 10 11 14 16 16 19 23 27 28 28 26 22 18 14 12 12 13 16 19 22 23 23 21 19 19 20 20 20 22 26 30 31 31 32 32 33 33 30 27 24 18 10 5 3 1 5 9 17 29 40 42 34 24 17 7 1 0 2 8 13 16 17 16 16 21 28 37 41 45 45 42 42 45 48 52 59 66 70 67 56 46 38 29 22 15 10 8 5 2 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 4 5 5 5 4 5 5 6 5 5 6 10 12 12 12 12 13 14 14 14 14 14 14 15 11 8 7 7 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 8 7 6 3 1 3 11 29 39 36 28 20 12 4 1 0 0 0 0 1 7 15 18 14 10 8 8 9 9 7 7 5 4 4 5 6 6 6 6 7 8 7 6 6 6 6 6 5 4 2 1 1 2 5 5 5 5 5 5 6 7 9 12 18 23 27 31 34 37 39 39 36 31 24 14 11 10 9 7 4 2 2 3 4 5 5 7 8 10 11 14 18 22 24 22 18 14 12 12 13 15 16 15 12 7 2 0 nan nan nan nan nan nan nan nan nan nan nan
12 12 12 12 13 15 17 18 18 17 16 15 15 14 11 10 11 13 15 17 16 16 17 20 23 25 26 26 25 24 21 19 16 14 11 12 16 21 25 27 24 21 20 20 23 26 30 34 35 32 29 30 32 34 32 29 25 18 9 4 2 3 8 12 21 34 42 38 30 21 15 7 2 0 0 4 10 14 15 14 14 19 30 40 44 46 46 44 43 44 48 56 62 64 61 46 33 27 21 12 5 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 1 1 2 2 2 2 2 4 5 5 5 5 5 5 6 6 5 6 8 11 12 12 12 13 14 14 13 14 14 15 15 12 8 6 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 4 3 2 5 16 34 36 28 19 12 6 2 1 0 1 0 0 0 2 7 8 6 5 5 5 5 5 5 5 4 4 4 6 7 7 7 7 7 7 6 6 6 6 6 5 4 3 1 0 0 0 2 3 3 2 2 2 3 4 4 6 9 13 15 17 22 25 26 26 25 21 15 10 7 6 3 1 0 0 0 0 0 1 1 1 1 1 2 3 6 11 13 14 14 13 12 12 12 13 14 15 16 13 7 3 nan nan nan nan nan nan nan nan nan nan nan
12 12 11 10 10 11 13 16 18 20 19 18 16 14 11 10 12 14 14 14 13 13 14 15 21 22 23 24 25 25 24 22 20 17 11 8 9 14 20 26 28 26 23 22 25 27 29 34 38 37 33 30 31 34 34 29 25 17 8 3 4 7 13 18 23 31 37 35 27 22 16 10 4 0 0 1 5 8 9 10 14 25 36 41 42 43 44 45 46 48 53 61 67 61 45 31 25 23 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 6 9 11 12 12 12 13 13 13 13 14 15 14 12 9 7 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 4 4 8 18 31 27 19 12 7 4 3 3 4 3 1 0 0 2 4 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 5 5 4 2 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 3 4 5 7 8 10 12 12 11 8 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 7 9 10 11 11 12 12 13 14 13 10 7 nan nan nan nan nan nan nan nan nan nan nan
13 13 12 11 11 11 11 12 13 14 16 18 19 19 18 16 16 15 13 10 11 12 13 15 17 19 21 23 24 24 24 23 22 21 17 12 9 9 12 17 22 25 25 25 25 26 27 29 35 39 38 33 31 32 32 28 23 15 6 3 5 11 19 24 25 28 35 37 30 24 23 21 14 5 0 0 1 3 4 7 18 30 34 35 36 39 42 43 44 48 55 62 62 52 37 30 26 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 3 4 5 5 5 5 5 5 5 6 8 10 11 11 12 12 12 13 13 14 14 12 10 9 7 6 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 10 17 26 26 19 13 8 4 4 4 5 6 6 4 2 1 2 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 2 1 2 4 5 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 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 1 1 2 4 6 6 7 8 10 10 10 10 10 8 nan nan nan nan nan nan nan nan nan nan
16 16 14 13 12 12 12 12 12 12 13 15 17 19 22 21 20 18 16 14 13 13 13 14 14 16 18 20 23 22 22 23 24 23 21 16 12 10 8 6 10 17 21 23 24 25 25 25 27 33 38 35 31 30 29 26 21 15 7 4 6 12 20 26 27 29 36 42 40 36 38 41 38 24 8 1 0 0 1 4 13 18 20 22 28 36 42 42 42 45 52 57 54 46 40 35 27 14 5 2 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 1 0 0 1 2 3 4 5 5 5 5 5 5 5 6 8 10 11 11 12 13 13 13 13 12 10 9 7 6 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 21 30 30 23 14 8 5 4 4 4 5 7 8 6 4 3 4 5 6 5 4 5 5 5 5 5 4 4 3 4 4 4 4 2 0 0 1 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 5 6 5 5 4 nan nan nan nan nan nan nan nan nan nan
23 21 18 17 16 17 16 16 14 13 12 13 14 15 18 20 21 21 22 22 21 20 18 16 14 14 15 17 17 17 19 23 25 25 22 18 15 14 11 8 7 9 14 19 23 25 26 24 22 23 30 33 29 26 26 24 21 15 9 5 6 11 17 24 27 29 34 44 49 47 47 51 53 44 26 12 6 4 3 2 2 4 5 14 25 37 44 46 44 44 48 53 53 53 50 40 24 11 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 2 3 4 5 5 5 5 5 5 5 7 9 10 11 12 13 13 13 12 11 9 8 6 6 6 6 6 6 6 5 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 31 30 24 16 8 4 4 5 5 4 5 7 8 7 6 5 5 6 6 5 4 4 4 5 5 4 4 3 3 3 4 4 4 2 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 nan nan nan nan nan nan nan nan nan nan
23 22 20 20 20 21 21 21 20 17 14 13 12 12 13 16 18 19 20 20 20 21 22 22 22 19 16 16 17 17 18 21 24 25 22 18 16 15 14 13 10 8 9 14 20 25 27 26 22 18 19 27 27 21 21 22 20 15 9 6 6 10 14 19 24 26 28 38 48 47 42 41 47 50 40 29 24 22 18 14 9 8 11 22 33 44 53 57 56 54 56 59 64 66 58 38 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 5 5 5 5 6 7 8 10 12 13 13 12 11 10 8 7 6 6 6 6 6 6 6 6 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 1 4 10 18 19 14 11 9 6 5 5 5 5 4 5 6 7 6 5 4 5 5 5 4 4 4 4 4 4 4 4 3 2 3 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 0 0 0 0 0 0 1 0 1 nan nan nan nan nan nan nan nan nan nan
18 17 19 20 21 22 23 23 23 21 18 15 13 12 13 15 17 18 18 18 18 18 18 18 19 21 20 18 20 20 20 19 19 22 22 18 17 15 14 14 13 10 8 9 14 21 26 28 25 19 14 20 24 20 17 20 19 14 9 6 6 9 12 16 20 23 24 27 34 35 30 27 31 38 39 33 32 39 43 42 40 37 36 40 46 53 60 64 67 69 71 73 75 71 54 26 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 4 11 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 5 5 5 5 5 5 6 7 9 11 12 12 12 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 3 8 12 10 8 6 5 5 6 6 6 5 5 5 6 6 5 4 3 2 3 3 3 4 5 4 4 4 4 3 3 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 5 4 3 3 2 0 0 1 3 5 5 6 6 nan nan nan nan nan nan nan nan nan
13 14 18 20 21 22 23 23 23 22 20 18 15 13 12 13 15 16 16 15 15 16 18 18 18 18 20 21 21 22 22 17 15 17 22 22 20 18 16 15 14 13 10 8 9 14 22 28 28 24 16 18 23 22 17 17 18 13 8 6 7 9 11 13 16 20 23 24 26 26 23 21 22 25 26 24 24 35 45 50 54 58 61 59 56 59 65 69 71 73 74 76 74 64 41 11 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 1 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 1 2 3 4 5 5 5 5 5 5 5 6 8 9 10 11 12 12 11 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 3 6 6 4 2 1 2 4 6 6 6 6 6 6 6 6 5 3 2 0 1 2 3 4 5 4 4 4 3 3 3 3 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 1 2 3 5 6 6 6 5 5 2 2 4 6 8 9 9 nan nan nan nan nan nan nan nan nan
12 14 19 22 22 22 22 22 21 20 18 16 14 12 12 12 12 12 11 11 12 13 14 15 15 16 17 19 22 24 24 19 15 14 18 24 26 24 20 18 16 14 13 10 8 9 14 23 29 30 24 19 23 24 20 16 15 13 8 7 8 8 8 8 12 18 23 24 24 24 24 24 24 23 22 19 18 22 28 31 40 56 66 65 58 56 58 58 54 57 63 67 63 50 27 4 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 5 5 5 5 5 5 5 5 7 9 10 10 11 11 11 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 3 5 6 6 6 6 3 0 0 0 2 4 5 6 6 6 6 6 6 5 4 2 1 0 1 3 4 5 4 4 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 2 1 1 1 2 6 8 7 nan nan nan nan nan nan nan nan nan
11 14 19 21 22 22 21 19 18 16 14 12 12 11 10 11 12 12 11 10 10 10 11 12 13 14 15 17 19 22 22 21 18 14 16 23 30 33 29 22 18 15 14 12 9 7 9 16 25 30 30 23 22 25 23 18 14 12 10 8 9 8 6 4 6 13 21 26 26 26 26 28 31 30 27 22 17 14 14 13 17 37 56 58 50 44 41 36 36 46 61 66 59 40 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 5 5 5 5 5 4 5 5 7 8 10 10 10 10 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 7 10 10 9 8 6 3 1 0 0 1 3 4 5 5 5 6 7 7 6 5 4 2 1 1 3 4 5 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 2 nan nan nan nan nan nan nan nan nan
12 16 19 20 20 20 18 17 15 13 12 11 10 10 11 12 14 13 12 11 10 11 12 14 15 15 15 15 15 16 17 18 20 19 17 21 30 39 40 30 20 16 14 13 12 9 7 10 19 27 32 29 22 24 26 21 15 12 11 10 9 9 7 4 2 6 16 25 29 28 26 26 31 35 33 27 19 13 9 9 10 18 39 48 44 38 35 36 44 55 66 70 60 34 12 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 5 5 5 4 4 4 4 5 7 8 8 8 9 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 2 2 1 1 1 1 1 1 2 3 4 4 4 4 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 4 8 11 11 9 7 5 3 2 0 1 2 3 4 5 5 5 5 6 6 6 6 5 3 1 1 4 5 5 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 2 2 1 1 0 0 0 0 nan nan nan nan nan nan nan nan
17 19 20 20 19 18 17 16 14 13 12 11 11 11 11 12 13 13 11 11 13 15 17 18 17 17 16 16 14 14 15 17 19 21 21 21 26 37 43 39 26 17 14 13 12 10 8 8 12 20 29 31 26 22 26 24 17 12 11 11 11 11 10 7 2 2 11 22 27 27 24 23 25 32 36 32 25 17 11 8 9 12 25 39 45 46 51 57 60 63 67 69 59 28 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 4 4 4 4 4 5 6 6 7 8 7 5 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 2 2 2 2 3 4 4 4 4 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 3 2 3 1 0 3 4 5 5 6 6 5 5 5 6 6 6 5 3 1 1 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 7 7 8 9 8 8 8 6 4 3 2 nan nan nan nan nan nan nan nan
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