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