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 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 5 5 5 4 4 4 4 3 3 3 2 3 3 3 2 2 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 3 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 4 3 4 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 5 5 5 5 6 7 7 7 6 5 6 7 8 9 9 9 9 9 8 8 7 7 7 6 6 7 7 6 6 5 5 5 5 4 3 2 4 6 5 2 2 3 5 3 9 9 9 9 4 -1 6 15 9 5 6 3 4 6 8 5 -0 -2 -2 -3 -1 3 6 11 17 18 12 4 0 8 17 12 6 11 14 11 8 5 4 6 9 11 10 9 8 6 6 7 8 5 3 3 7 12 13 10 8 13 21 25 24 24 17 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 6 6 7 9 13 21 35 35 20 15 16 14 11 8 4 4 6 7 8 8 7 5 4 4 3 2 2 4 6 2 -4 -5 1 2 2 2 2 3 3 3 3 3 3 4 4 4 3 2 2 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 1 2 2 2 2 3 4 6 7 9 8 5 4 8 15 21 22 16 12 9 9 7 2 -1 -4 -2 -5 -0 2 -1 1 5 5 4 5 7 6 -1 -8 -6 -3 -4 -6 -5 -0 2 4 5 5 7 11 15 17 16 11 7 7 7 7 7 7 8 9 12 14 13 16 20 29 37 31 17 7 1 -0 1 2 4 4 4 6 8 9 8 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 nan nan nan 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 5 5 5 5 5 6 5 5 5 5 5 4 5 4 4 4 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 3 3 4 3 3 3 4 4 3 3 3 4 3 4 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 4 4 4 4 4 4 5 5 5 6 7 7 6 5 5 6 7 8 9 9 9 9 8 8 8 7 7 7 7 6 6 6 7 6 6 5 5 5 5 3 2 5 9 7 5 6 6 4 4 5 7 13 10 4 -3 -2 7 9 9 10 3 -2 0 2 2 1 -0 -0 1 2 1 3 8 13 15 12 9 10 16 17 14 13 12 11 13 12 6 3 4 6 7 9 13 11 6 4 5 6 7 8 6 6 10 12 9 7 14 21 23 23 19 10 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 6 6 7 9 14 22 30 29 17 13 14 11 8 6 3 4 5 6 6 6 5 5 5 5 4 2 0 1 3 -2 -11 -8 1 1 -1 -1 2 2 3 3 3 3 3 3 4 4 4 3 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 3 7 17 25 29 27 19 11 12 19 26 26 23 19 15 11 7 6 7 6 4 4 4 4 4 4 5 5 7 9 8 6 3 0 -0 2 -0 -4 -6 -4 2 5 5 4 4 4 5 8 11 9 6 6 7 6 6 6 6 6 7 8 8 12 14 16 17 15 8 4 2 2 2 2 4 5 4 4 6 8 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 5 4 5 6 5 5 5 5 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 5 5 5 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 2 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 6 5 5 6 7 8 9 9 10 9 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 4 2 3 7 8 6 8 8 4 -0 1 3 7 12 10 5 -3 -8 -7 2 12 14 6 -2 -1 1 2 2 2 3 3 3 3 4 4 7 11 10 10 16 19 15 12 10 7 6 9 10 7 5 5 5 6 8 11 11 9 5 4 6 10 9 6 6 7 7 7 7 10 16 21 19 12 6 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 6 6 7 9 14 21 27 20 11 7 9 8 7 6 4 4 6 7 6 5 4 4 5 6 6 5 2 0 1 -1 -15 -19 -4 2 -3 -7 -3 2 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 3 3 2 2 1 1 2 2 1 1 1 1 2 2 2 2 3 5 12 23 37 43 40 31 19 14 16 18 17 18 19 21 18 8 4 4 3 3 5 5 6 6 6 4 4 6 8 7 6 5 5 4 4 1 -3 -3 0 5 7 6 4 3 3 3 3 5 6 5 5 6 5 5 5 5 6 7 7 7 9 12 12 9 8 7 5 4 4 4 4 4 4 4 4 5 7 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 5 4 4 3 3 3 3 4 3 4 3 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 4 5 5 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 3 3 4 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 5 5 6 6 8 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 5 4 4 3 -2 -6 -1 5 6 6 6 3 -3 -2 5 6 6 5 2 0 -2 -5 -1 9 12 6 3 4 6 4 3 2 2 3 4 7 5 3 6 11 12 11 11 10 12 11 7 5 4 4 5 8 9 6 5 7 7 5 7 9 8 8 11 12 9 6 5 5 5 6 8 13 19 19 12 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 5 5 5 6 6 6 8 13 19 27 21 7 5 6 7 6 6 5 3 6 7 7 6 6 4 4 4 6 7 6 3 2 2 -7 -21 -14 1 3 -7 -7 1 3 3 3 4 3 3 3 4 5 5 4 3 3 2 1 1 2 2 3 4 4 4 3 2 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 2 1 1 1 1 2 1 1 1 2 2 2 4 10 16 20 26 32 32 26 17 11 8 6 6 7 10 18 22 14 7 5 3 3 3 5 5 6 7 6 4 5 6 6 6 7 5 4 3 1 1 2 6 9 9 7 5 4 4 3 3 3 3 4 5 5 4 4 4 5 6 6 7 6 7 10 11 11 10 9 6 4 4 5 5 5 5 5 4 4 5 6 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 10 7 5 5 5 4 4 4 3 3 4 4 3 3 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 3 3 3 3 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 4 5 6 7 7 7 6 5 5 6 8 8 9 9 8 8 7 7 7 7 7 7 6 6 5 6 6 7 5 4 4 3 -3 -15 -16 -1 8 5 6 7 1 2 6 4 3 4 5 7 7 5 3 6 7 4 4 5 5 3 2 2 2 5 9 9 4 4 8 11 13 11 7 3 4 5 5 6 6 2 1 6 9 4 1 1 5 4 6 10 11 13 15 14 10 7 5 3 4 6 12 19 20 13 6 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 4 4 3 4 4 5 5 6 6 6 6 6 10 16 25 26 10 5 7 7 6 6 6 4 4 6 7 7 7 6 4 4 4 6 8 7 5 4 1 -10 -18 -8 8 5 -2 0 3 4 4 4 4 3 3 3 4 5 5 5 4 3 2 1 1 1 2 3 4 4 3 3 2 3 3 4 5 5 4 4 3 3 3 3 2 2 3 3 3 4 3 3 3 3 2 1 1 1 2 2 2 1 2 2 5 8 14 16 12 9 11 13 11 7 3 -1 -1 -1 -1 2 7 14 14 10 8 6 5 6 6 6 6 7 7 7 7 9 6 4 8 9 7 5 4 5 8 9 9 8 8 8 6 4 3 3 3 4 4 4 4 4 3 3 4 6 6 6 6 6 7 10 11 11 10 6 4 3 4 3 4 5 5 4 3 3 4 6 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 11 9 7 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 7 7 6 6 6 5 5 6 7 8 8 8 8 8 7 7 6 7 7 7 6 5 5 5 6 7 6 5 4 3 -0 -9 -11 1 6 3 7 9 3 1 2 3 5 7 10 11 10 7 8 9 8 7 6 6 5 5 5 5 5 8 11 8 3 5 7 9 11 9 5 1 -2 -3 -0 3 6 4 1 0 3 5 3 1 4 7 9 10 12 15 15 14 11 7 4 3 4 7 13 17 12 6 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 3 3 3 3 4 3 3 4 4 4 4 4 4 5 5 6 6 6 6 5 7 12 22 27 14 5 6 6 7 7 7 5 4 6 7 7 7 7 6 5 4 6 8 8 7 6 5 1 -10 -15 -4 6 4 3 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 2 2 1 2 2 3 4 3 2 2 2 3 4 5 5 5 4 4 4 3 3 2 2 2 3 3 3 3 4 4 4 3 2 1 1 1 1 2 3 5 8 10 12 13 11 6 4 4 4 4 1 -3 -6 -5 -6 -7 -2 2 5 8 8 8 7 7 7 7 6 5 5 8 7 6 11 9 5 6 10 9 8 6 6 8 9 9 8 8 9 7 5 3 3 3 4 4 5 4 3 2 2 3 5 6 6 6 5 6 8 10 11 10 8 5 3 3 3 2 4 5 5 3 2 3 4 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 10 9 7 6 5 6 6 6 6 4 4 4 3 3 3 4 4 4 4 3 3 4 4 3 4 4 5 5 5 5 5 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 4 4 4 4 4 5 5 6 6 6 6 5 5 5 6 7 7 7 8 8 8 8 7 6 6 6 7 7 6 5 5 5 6 6 7 6 5 4 3 1 3 9 8 5 6 5 -3 -7 -3 5 8 7 6 7 7 7 10 12 10 9 9 8 5 6 8 8 7 9 7 6 4 5 4 5 6 8 7 4 2 -2 -2 -0 4 7 3 1 1 8 11 6 2 7 10 10 11 13 11 9 7 5 3 3 4 8 14 13 7 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 4 4 4 3 4 4 4 4 5 5 6 6 6 6 5 5 7 16 26 18 6 4 5 6 7 7 6 5 5 7 8 8 7 7 5 4 6 8 8 7 6 6 5 1 -9 -15 -8 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 3 2 2 1 3 4 3 2 1 0 0 0 2 3 3 3 4 4 3 4 4 3 2 2 2 3 3 4 4 3 4 3 2 1 0 1 3 7 11 14 14 12 10 7 5 5 6 7 7 4 1 -3 -3 -2 -4 -2 2 3 4 5 7 6 6 7 7 6 6 1 2 4 5 9 9 6 5 7 8 7 6 6 7 8 9 7 8 7 6 5 4 3 4 4 5 5 5 3 2 2 2 3 5 5 5 4 4 6 7 10 11 10 7 4 3 2 1 2 4 5 3 2 2 2 4 5 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 6 7 8 8 6 5 5 7 7 7 6 6 5 4 4 3 4 4 4 3 3 3 3 3 3 3 4 5 5 5 4 4 4 5 5 5 4 4 3 3 3 3 2 3 3 4 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 5 6 7 7 7 7 8 8 8 7 6 6 6 6 6 6 5 5 5 5 6 7 7 6 5 5 5 5 6 9 12 11 3 -4 -5 -0 4 5 3 2 4 7 11 14 10 8 10 10 8 5 6 8 8 7 8 5 4 5 2 -1 0 2 8 12 11 10 7 3 -0 2 8 12 8 2 5 11 9 7 9 11 9 9 10 8 5 3 2 2 3 6 13 17 12 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 4 4 5 10 24 24 11 5 5 5 6 6 6 5 4 4 7 8 8 7 6 4 4 7 8 7 6 5 5 5 1 -9 -13 -3 4 4 4 4 4 4 4 4 4 5 5 6 7 5 4 4 5 5 4 3 1 2 5 7 4 0 -2 -6 -8 -5 -2 -0 2 4 5 5 5 4 4 3 2 2 2 4 4 3 3 3 4 3 2 1 2 6 11 15 16 13 9 7 5 5 6 5 7 10 8 5 3 3 4 3 2 4 4 4 4 5 5 5 6 7 7 7 4 -2 -2 3 6 7 6 5 5 5 6 7 6 7 7 8 8 9 8 4 3 4 3 4 4 5 5 5 4 2 1 1 1 3 4 4 4 4 4 5 8 10 10 8 6 3 1 0 1 2 4 3 3 2 2 3 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 6 6 5 6 7 7 6 6 6 6 6 5 5 4 4 3 3 4 4 4 3 3 3 4 4 4 4 3 3 4 4 5 5 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 5 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 6 5 6 7 7 7 8 8 8 9 8 7 6 6 6 6 6 6 5 5 5 5 5 7 7 7 6 6 5 3 2 5 12 14 9 5 3 5 5 4 4 6 8 9 13 14 9 8 9 9 10 8 6 5 6 6 6 7 8 8 0 -2 -1 1 8 13 11 11 12 8 5 2 3 6 6 5 6 6 8 11 16 18 13 10 9 7 5 3 2 4 6 11 18 17 9 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 5 5 5 4 4 6 17 30 25 14 9 7 6 6 5 4 3 3 4 6 7 7 6 5 4 5 7 7 7 5 5 5 5 -1 -10 -6 3 4 4 5 5 5 4 4 4 5 6 7 7 5 3 4 7 9 9 5 2 1 5 12 12 6 -0 -9 -15 -11 -5 -1 1 4 6 7 7 6 6 5 4 3 3 3 3 4 3 3 4 4 3 3 5 9 13 13 10 7 5 5 5 6 8 7 4 7 7 5 5 5 4 4 5 4 4 4 4 3 5 5 5 5 7 10 10 2 -2 1 4 6 5 4 4 5 6 6 7 6 7 8 9 12 13 7 4 5 5 4 4 5 6 6 5 3 1 0 -0 1 3 3 4 4 4 5 6 7 9 9 8 5 2 -0 -1 1 3 3 3 2 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 4 4 5 6 5 6 6 6 5 5 5 6 7 7 7 6 5 4 4 3 4 3 3 3 3 4 3 3 3 2 2 3 3 3 4 4 4 5 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 4 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 3 3 4 4 5 5 5 5 6 7 7 8 8 9 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 6 6 5 5 5 5 8 10 10 5 4 7 8 11 14 13 10 9 10 8 9 10 10 12 9 3 2 3 5 6 11 15 11 3 2 1 1 6 10 9 8 8 4 6 4 1 4 4 5 4 1 3 3 12 19 22 17 11 7 3 0 1 5 8 14 19 13 6 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 8 20 29 26 22 18 15 12 10 9 7 5 4 4 5 5 5 5 4 4 5 6 7 5 5 5 5 2 -5 -4 2 5 5 5 5 5 4 4 4 4 6 7 6 4 3 5 10 15 15 10 4 1 4 14 21 19 10 -2 -10 -9 -3 -1 2 5 8 10 10 10 11 10 8 5 4 3 3 3 3 3 4 4 6 7 8 9 9 8 5 4 3 4 4 6 11 15 9 4 4 4 5 5 5 4 4 5 5 4 5 5 6 9 9 7 6 10 13 10 4 4 5 6 5 4 4 4 5 7 7 6 6 7 8 13 17 13 10 11 8 5 4 5 7 7 6 4 2 1 -0 -0 1 3 3 4 4 4 5 6 8 9 8 6 4 1 -1 0 2 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 4 4 5 5 5 5 5 4 4 4 5 6 6 7 7 7 6 6 5 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 4 4 4 4 3 3 3 4 4 3 3 4 4 4 3 3 4 4 4 5 4 5 6 7 8 8 8 9 9 9 9 7 7 6 5 6 6 6 7 6 6 5 5 6 6 7 7 6 7 7 7 5 4 6 7 4 1 2 9 12 13 12 9 6 5 5 7 11 12 14 14 8 2 1 2 4 8 14 18 11 7 7 4 -0 2 6 6 6 6 3 4 3 8 11 8 7 -4 -7 -4 -2 8 16 19 16 10 4 1 1 4 5 8 15 17 9 4 4 3 3 4 4 4 3 3 3 3 3 3 4 3 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 5 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 6 15 22 24 25 25 23 20 19 17 17 13 10 8 5 5 5 5 5 6 7 8 7 7 6 6 4 0 0 3 5 5 5 4 4 4 4 3 4 5 7 6 4 3 7 15 22 23 15 6 1 4 12 20 23 17 8 -0 -3 -1 -0 2 6 10 13 14 17 21 24 20 13 8 5 3 3 3 3 3 5 10 13 9 5 5 5 3 2 3 3 4 4 10 19 14 5 5 4 4 4 6 6 5 6 6 5 4 4 7 13 14 10 8 9 10 10 7 6 6 6 5 5 4 5 5 7 8 7 7 6 7 10 14 13 12 15 13 9 6 5 7 8 7 5 3 2 1 1 1 2 2 3 5 6 6 6 6 7 7 6 4 2 1 2 1 1 3 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 5 6 6 7 8 8 7 6 5 5 4 4 4 4 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 3 4 3 3 4 4 4 4 4 4 3 4 4 3 4 3 4 4 4 3 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 5 7 8 8 8 8 10 10 9 8 8 7 6 5 6 6 7 7 7 6 6 6 6 5 6 7 7 7 6 4 3 5 7 3 -4 -4 4 11 10 7 6 4 1 3 4 6 12 14 13 12 7 3 3 3 5 10 17 18 9 7 9 5 -0 -1 2 4 4 4 6 6 5 11 9 4 7 6 4 3 3 11 16 9 7 5 2 2 8 10 8 11 17 14 6 4 4 4 4 4 4 3 4 3 3 3 4 4 4 3 4 3 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 5 9 12 15 18 21 22 23 23 24 23 21 19 12 8 7 8 8 9 11 13 15 14 11 10 6 3 2 4 5 5 4 4 4 5 4 4 4 5 6 6 5 4 9 20 31 30 20 8 3 3 6 9 13 14 11 6 1 -2 -2 2 8 12 15 17 23 31 38 39 31 19 9 5 4 5 5 3 6 11 12 6 1 2 3 2 -1 -0 1 1 3 9 14 12 7 6 5 4 3 4 5 5 7 6 4 3 3 6 12 15 12 9 9 8 7 6 6 7 7 6 5 5 6 6 8 8 8 7 7 7 7 10 11 11 13 13 10 7 6 6 8 8 6 5 3 2 2 2 1 2 3 5 7 7 7 6 5 5 5 5 4 4 3 2 2 4 5 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 nan 4 5 5 5 4 3 4 3 3 4 3 3 2 2 3 3 3 5 6 7 8 8 8 8 7 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 4 4 4 3 3 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 3 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 5 6 7 7 7 8 10 10 10 9 8 7 6 6 6 6 6 7 7 8 10 12 10 7 5 7 7 7 5 1 -0 -1 -2 -1 -4 -1 6 10 4 5 8 9 3 2 3 6 14 15 11 8 5 3 2 2 5 10 15 14 8 6 7 8 5 1 3 4 3 2 6 6 7 8 5 5 7 19 24 18 15 15 12 5 4 5 4 5 9 10 9 16 18 11 5 4 4 4 4 3 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 4 5 5 6 9 12 14 14 14 17 20 22 23 19 15 14 15 16 15 14 14 17 16 14 10 5 2 4 5 4 4 4 5 4 4 3 3 5 6 6 5 5 12 25 36 35 22 8 1 -3 -5 -2 2 6 10 13 7 -5 -8 -1 9 14 15 16 21 28 36 43 45 35 21 10 8 11 14 13 8 3 5 3 -2 -2 2 2 -3 -5 -5 -3 0 5 9 8 7 6 6 5 4 5 4 2 4 3 -1 1 4 6 9 12 11 9 7 6 6 6 6 7 7 6 5 5 6 7 8 9 9 8 8 7 7 7 9 11 14 14 12 10 7 6 7 8 7 6 4 4 4 3 3 2 3 4 6 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 3 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 4 4 5 7 9 9 9 8 6 5 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 3 3 3 4 5 6 6 6 8 10 11 10 9 8 8 7 6 6 6 6 7 7 8 12 16 16 11 6 6 7 6 4 1 -2 -7 -8 -1 -1 3 6 10 2 7 10 8 4 2 3 8 16 16 10 6 5 2 1 1 4 10 12 10 8 5 5 8 9 6 4 4 2 1 3 4 6 6 6 6 4 15 23 20 18 14 9 9 11 9 6 7 7 7 12 19 15 8 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 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 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 4 4 5 5 6 5 4 6 9 12 18 19 18 16 14 12 10 7 6 9 12 12 9 4 3 4 4 3 4 5 4 4 4 4 4 5 6 7 4 4 12 25 36 33 20 7 -4 -14 -19 -13 -3 3 11 18 14 -1 -11 -5 9 13 12 12 13 14 19 28 38 42 35 23 18 20 28 29 11 -6 -4 2 -1 -4 -1 2 -1 -3 -5 -5 1 3 4 5 6 7 7 6 5 7 10 5 1 0 -2 1 5 6 8 10 9 8 6 5 4 5 6 6 7 8 8 6 5 6 7 8 9 9 9 7 7 7 8 10 13 15 15 12 9 6 6 8 8 7 5 4 4 5 4 4 3 3 4 6 7 7 7 7 6 6 6 6 6 5 4 3 4 3 2 2 1 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 3 3 4 4 4 4 4 3 4 3 2 1 2 2 2 2 2 2 1 2 2 3 4 6 8 9 9 9 8 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 5 6 7 9 11 10 8 8 8 8 7 6 6 6 6 7 6 6 10 15 14 10 6 6 5 4 2 -0 -5 -3 2 3 3 4 4 1 3 11 7 8 4 4 8 14 14 9 6 6 3 2 2 5 9 9 6 5 4 4 4 5 6 4 3 -1 -1 2 5 6 5 8 6 5 9 13 13 14 12 11 12 11 8 6 4 4 6 15 18 10 5 4 4 4 4 4 4 3 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 5 7 8 10 10 6 3 3 3 4 4 5 6 5 3 4 4 3 3 4 4 4 4 4 4 4 4 6 10 7 2 8 23 31 26 14 3 -7 -21 -25 -16 -5 2 10 19 15 0 -7 -2 8 10 9 9 7 5 7 11 19 30 32 27 23 24 30 32 11 -10 -10 -3 -0 -2 -1 1 2 2 2 1 2 4 4 4 5 6 5 5 4 5 12 10 4 2 2 4 5 7 8 9 7 7 6 5 4 5 5 5 6 8 8 8 5 4 5 6 8 8 9 8 7 7 8 8 11 14 15 15 11 7 5 7 8 7 4 3 5 6 5 5 4 4 4 4 6 6 7 7 7 6 6 6 7 6 4 3 3 3 2 1 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 3 3 3 4 3 3 3 3 3 3 2 2 2 1 1 2 2 2 2 2 2 1 2 3 5 7 8 9 10 9 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 3 3 3 4 5 5 6 8 10 11 9 8 9 8 7 7 6 5 6 6 5 1 2 8 12 12 8 5 4 5 4 2 -0 -1 2 8 6 6 0 -1 -2 8 8 14 8 5 5 8 9 8 7 6 5 5 4 4 5 6 5 4 4 2 1 3 4 5 4 1 2 5 7 7 6 7 7 7 5 8 9 10 9 7 7 6 5 3 2 4 10 18 15 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 4 4 4 5 6 5 4 4 4 4 4 4 3 3 3 4 4 4 5 4 5 6 11 13 6 7 21 26 18 9 -1 -9 -14 -13 -6 -0 2 6 13 15 0 -3 6 8 7 7 7 5 4 4 4 6 11 15 13 11 13 18 20 9 -5 -7 -2 3 2 2 2 3 3 3 4 4 4 5 5 5 4 4 4 1 -2 5 7 5 5 4 5 6 7 8 8 7 7 7 7 6 6 6 6 6 7 8 7 6 4 4 5 6 7 9 9 9 8 8 8 10 12 14 15 13 9 6 6 8 7 5 6 7 6 6 6 5 5 4 4 5 5 6 6 5 5 5 5 6 5 4 4 4 4 3 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 3 3 3 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 5 7 9 10 10 9 7 6 5 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 5 5 4 4 4 3 3 4 5 5 5 6 9 10 10 9 8 8 8 7 6 5 5 6 6 3 1 4 9 12 10 6 4 5 5 5 3 -1 2 11 10 8 9 7 -3 5 12 18 12 8 5 4 4 6 7 6 5 5 5 4 3 4 6 7 5 3 4 4 6 8 5 5 9 11 8 7 6 4 6 4 3 6 7 7 4 2 5 5 3 2 3 6 12 17 11 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 4 5 6 7 8 6 5 5 6 6 6 7 7 6 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 7 11 10 9 18 22 14 6 -2 -7 -5 1 4 3 3 3 6 9 6 4 8 8 6 6 5 4 4 3 1 -2 0 4 -0 -5 -2 6 10 10 7 6 5 4 3 4 4 4 3 2 3 4 5 6 6 6 6 6 7 6 -1 -1 4 4 5 4 5 6 7 8 7 8 8 8 7 7 7 7 6 6 6 7 7 6 4 4 5 5 7 8 8 9 9 8 9 9 12 14 15 15 11 8 6 6 7 8 9 8 6 6 6 6 5 4 4 4 5 5 5 5 4 3 3 5 6 7 8 7 4 3 3 1 1 3 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 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 4 6 8 9 10 10 9 7 6 5 5 5 5 5 5 5 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 5 4 5 4 5 5 5 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 5 5 4 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 7 9 9 9 9 8 8 6 6 5 5 6 6 7 5 5 8 10 10 6 3 4 6 7 5 0 3 11 16 7 8 11 3 2 7 11 10 9 6 6 4 4 8 7 5 4 5 5 5 4 5 7 7 7 7 7 9 10 7 6 11 12 11 7 5 3 4 1 1 4 5 3 2 4 7 4 3 3 4 6 13 15 9 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 5 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 4 5 6 8 9 8 6 6 6 6 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 16 21 14 5 -2 -5 -1 2 3 -1 -2 2 4 5 7 8 8 6 6 6 5 3 3 3 2 -3 -5 -0 0 -5 -6 1 8 11 10 9 9 5 4 5 6 5 5 5 4 5 7 8 7 5 3 6 9 8 5 2 4 4 4 4 4 6 7 7 7 8 8 8 7 6 6 6 6 6 6 7 7 6 5 5 5 5 6 6 7 8 9 10 10 9 11 14 16 16 13 9 6 6 7 9 8 7 7 6 6 5 5 4 3 3 4 5 5 5 4 3 2 3 8 12 15 15 10 5 3 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 5 4 4 4 4 4 5 4 3 3 3 3 3 2 2 2 2 2 1 2 2 1 1 1 1 1 2 3 4 6 8 10 10 9 7 6 6 5 5 5 5 5 4 3 3 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 5 4 5 6 7 8 8 9 9 7 6 7 7 6 6 7 7 8 7 8 8 8 5 2 3 6 9 7 1 3 14 24 12 1 2 3 -6 -1 -3 4 7 6 6 5 5 6 6 4 4 5 6 7 5 3 2 5 9 8 7 10 11 8 7 8 9 10 6 3 3 1 -0 1 2 3 2 3 9 7 4 5 4 4 6 14 15 8 5 4 4 4 3 4 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 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 3 3 5 5 6 7 8 8 7 6 5 5 6 6 7 5 5 5 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 6 13 21 16 6 3 -1 0 0 0 -5 -10 -3 2 4 6 8 7 6 8 8 6 6 5 3 3 3 1 1 2 2 1 3 6 8 9 8 7 6 5 7 8 5 6 11 10 9 8 8 8 7 2 0 5 5 4 4 4 4 4 3 4 6 7 7 7 9 9 8 6 6 6 5 5 5 5 6 6 5 5 5 5 4 4 5 6 7 8 9 12 11 10 13 17 17 14 11 8 7 7 9 9 8 7 6 5 5 4 3 2 2 3 4 4 4 4 4 2 2 4 10 17 19 17 13 8 5 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 5 6 5 4 4 3 3 4 5 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 2 3 4 7 9 9 8 7 7 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 7 8 8 7 7 6 6 5 5 6 6 7 8 9 9 8 8 8 8 8 7 7 7 8 8 8 6 6 4 3 4 6 9 8 1 0 13 23 14 -0 2 3 -7 -5 -7 0 3 5 4 6 7 7 6 4 3 6 7 7 6 5 3 5 7 7 8 10 11 9 7 6 7 6 3 1 1 1 1 4 4 4 3 6 12 7 5 5 3 3 7 14 13 6 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 6 6 5 5 4 3 4 5 5 5 6 6 6 6 6 5 5 4 5 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 10 22 22 11 6 3 3 3 3 -2 -9 -9 -5 -1 4 6 7 7 11 12 7 10 13 8 4 5 5 5 5 5 5 4 4 5 6 6 6 7 6 8 8 6 5 11 13 10 6 4 5 7 4 -0 2 4 4 4 3 3 3 3 3 5 6 7 9 10 9 6 5 6 5 5 4 5 5 5 4 4 4 4 4 4 3 3 4 5 6 9 12 15 12 12 16 17 16 14 10 7 7 8 9 9 8 6 5 5 4 2 1 1 2 3 3 4 4 3 3 3 4 5 9 13 14 14 11 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 6 6 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 2 2 1 1 1 1 1 1 1 1 2 3 6 7 7 7 7 6 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 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 6 6 6 8 10 11 12 12 10 9 8 7 6 6 6 6 6 7 8 9 10 10 9 8 8 8 9 8 7 7 7 7 6 4 4 6 7 7 7 8 2 -4 4 14 7 -0 10 9 -2 -8 -7 0 1 5 5 6 9 10 9 4 2 5 6 6 7 8 8 7 6 7 8 9 9 7 5 4 5 4 3 2 1 2 3 7 7 5 7 12 12 7 5 4 3 4 9 17 13 5 4 5 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 4 5 5 5 6 6 5 5 5 6 6 6 5 5 4 5 5 5 5 5 5 4 4 4 4 6 13 22 22 15 7 5 6 6 4 -0 -4 -8 -8 -3 2 4 4 7 9 6 9 15 12 6 5 5 4 5 5 4 4 4 4 5 5 6 6 4 5 6 5 5 6 7 6 5 3 3 4 4 2 3 4 5 4 3 2 3 3 3 4 5 7 10 13 9 5 5 6 5 4 4 5 5 4 4 4 3 4 4 4 3 1 3 4 5 7 10 15 15 13 14 15 16 14 12 9 8 7 8 8 8 6 5 4 3 1 -0 -0 2 3 3 3 3 4 4 4 4 4 4 6 8 8 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 2 2 2 2 2 2 2 1 1 2 2 4 5 6 6 6 5 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 11 18 22 23 21 17 13 10 8 7 6 6 6 6 6 6 7 9 10 10 9 8 8 9 9 9 8 6 6 6 5 5 5 8 10 6 4 7 7 -2 -2 3 0 1 15 18 9 -5 -5 3 4 4 4 6 11 12 8 5 2 2 4 5 9 11 8 6 7 7 7 7 6 2 -2 0 4 5 4 3 4 4 4 7 8 9 14 15 9 3 3 5 4 5 11 17 11 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 7 12 21 22 15 10 9 8 6 4 2 -1 -7 -7 -1 1 0 2 2 1 5 10 10 6 5 4 4 4 5 5 4 4 4 5 5 4 4 1 1 4 3 3 3 3 2 3 3 3 3 3 3 3 4 5 5 4 3 3 3 3 3 4 7 11 14 10 6 6 6 5 4 3 5 5 4 4 3 3 4 5 6 6 -0 1 4 4 5 8 11 13 13 14 14 13 14 14 13 10 8 7 7 6 6 5 3 1 0 -1 -1 2 3 4 4 3 4 3 3 4 4 4 5 7 7 6 6 5 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 2 2 2 2 2 2 1 1 1 2 3 4 5 5 6 5 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 7 14 29 40 43 39 31 22 15 11 9 7 7 6 5 5 5 5 7 7 8 9 9 8 8 8 9 9 9 7 6 6 6 6 6 8 10 6 1 5 9 2 -1 1 2 4 11 17 11 1 2 8 8 4 2 3 8 12 9 6 3 2 4 8 10 9 5 5 8 8 6 4 3 -1 -3 2 7 7 5 4 6 5 3 5 9 13 16 13 6 4 4 5 5 5 10 11 6 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 5 5 5 6 6 6 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 6 9 16 18 16 16 14 10 7 6 4 1 -1 2 1 -1 1 0 -1 2 5 6 6 5 5 5 4 6 7 6 6 7 6 5 4 5 3 1 2 2 2 3 3 3 3 3 3 3 3 2 3 4 5 6 5 4 4 3 2 3 4 6 11 12 8 7 7 7 5 3 4 5 5 4 3 3 3 4 5 7 10 5 1 4 4 5 6 8 10 12 12 12 13 14 14 14 13 11 8 5 4 4 4 2 1 0 -0 -0 2 4 6 7 7 5 3 3 3 4 4 6 7 6 7 7 5 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 5 6 6 5 5 4 5 4 4 5 4 4 4 4 5 5 4 4 5 6 6 6 5 5 4 4 4 3 2 2 2 2 2 1 1 2 2 3 4 5 6 5 4 3 2 2 1 2 2 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 16 37 52 53 52 48 38 26 17 12 10 8 7 6 4 4 4 5 5 5 6 7 8 9 9 8 8 9 10 8 5 4 6 7 6 7 9 5 -1 1 4 3 5 6 9 8 11 15 9 5 7 12 12 7 4 3 6 12 13 8 5 4 7 10 9 7 5 6 9 7 3 1 -0 1 7 11 10 6 2 2 4 5 3 3 8 12 12 8 4 5 5 4 4 3 5 6 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 6 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 4 4 4 4 3 4 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 10 12 16 18 15 12 10 10 8 8 8 7 4 3 4 3 4 5 5 6 6 7 6 4 5 6 6 10 10 7 6 6 5 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 5 6 6 4 3 2 2 3 6 10 11 8 7 7 7 6 4 4 5 5 4 4 4 4 4 5 5 7 8 5 5 4 4 5 7 9 10 10 11 12 13 14 14 15 14 11 5 1 2 2 1 1 1 1 0 1 6 9 12 15 12 7 2 2 5 5 6 6 6 6 6 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 6 6 6 5 5 5 4 3 3 3 2 2 2 2 2 2 2 3 4 5 5 5 4 3 2 3 3 3 3 3 3 4 4 4 4 4 3 3 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 10 29 47 42 34 35 39 35 24 16 12 10 8 6 5 3 3 4 4 3 4 5 7 9 10 10 10 9 9 10 7 4 4 6 6 4 4 6 8 2 -1 2 6 6 6 7 7 12 14 9 8 8 11 12 10 7 4 8 16 15 8 7 8 10 9 7 4 4 7 7 3 1 -1 -0 5 11 12 8 0 -2 -0 4 5 1 -0 4 5 6 5 2 1 0 -0 1 2 3 7 13 11 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 4 4 5 5 5 5 5 6 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 5 5 5 4 4 4 3 3 3 3 3 4 4 5 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 8 12 14 13 12 13 11 11 15 16 11 8 8 7 7 7 9 10 7 9 10 6 6 6 5 9 11 8 6 5 4 3 3 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 5 6 6 5 4 3 3 3 5 8 9 9 8 7 7 6 5 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 6 7 8 9 9 10 10 11 12 14 16 17 13 5 2 0 1 1 1 1 0 1 5 8 15 20 18 11 4 3 5 6 6 6 6 5 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 6 6 6 6 6 5 5 4 4 5 6 6 6 6 5 5 5 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 14 28 30 20 10 9 20 25 18 11 9 8 6 4 3 3 3 3 3 3 4 5 7 9 10 11 12 12 11 9 6 4 4 7 7 5 4 6 10 5 2 8 12 6 3 2 -0 -1 -0 6 11 9 7 9 11 7 5 13 20 14 9 7 8 10 8 6 2 2 5 5 4 2 2 6 7 7 7 3 -3 -3 0 2 0 0 2 3 3 5 4 -1 -5 -6 -2 1 3 4 12 20 13 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 4 5 5 6 6 6 6 5 5 4 3 3 3 3 4 5 5 4 5 5 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 8 9 9 9 8 7 11 18 17 11 11 10 7 7 8 11 10 9 11 9 8 8 5 5 7 6 4 3 3 3 3 2 2 2 2 3 3 3 3 4 3 4 4 3 2 2 4 5 6 5 5 4 3 3 4 7 9 8 7 6 6 6 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 5 5 6 7 8 8 8 8 9 9 10 13 19 23 20 10 3 0 0 1 1 0 2 5 7 12 17 16 10 5 3 6 8 7 6 5 4 4 3 3 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 6 6 5 5 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 5 4 4 3 2 2 2 2 2 2 3 4 4 4 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 6 6 5 6 6 7 8 8 9 9 10 15 19 18 14 3 -2 8 15 12 7 6 5 4 2 2 3 4 3 3 3 5 7 9 10 11 12 13 13 10 6 5 5 5 7 7 8 4 5 11 6 3 7 10 9 11 7 -1 -7 -6 4 10 8 6 6 7 4 4 13 18 13 8 6 7 8 6 4 2 3 5 4 5 5 8 10 5 4 5 3 -1 -3 0 -0 -2 3 5 5 9 8 2 -4 -8 -6 -1 4 6 8 18 23 10 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 4 5 5 4 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 5 6 6 6 7 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 8 13 12 11 11 7 6 5 7 8 7 7 7 8 7 6 4 5 5 4 4 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 3 2 3 3 5 6 6 5 4 3 3 4 6 8 7 6 5 5 6 5 4 4 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 7 7 7 11 17 27 33 25 11 3 1 1 2 1 4 6 8 9 10 9 5 4 4 7 9 9 6 4 3 4 4 3 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 4 4 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 4 5 5 6 6 7 6 5 4 3 3 2 2 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 8 9 9 10 11 13 15 15 12 7 5 6 10 10 7 5 3 3 2 1 2 3 4 4 4 5 6 9 10 11 12 13 13 10 7 5 5 6 6 7 7 5 2 8 17 10 2 -1 -3 8 20 18 6 0 1 4 6 7 6 5 3 2 4 11 14 11 7 5 6 7 5 3 3 4 4 3 4 6 8 9 2 2 4 3 -0 -4 0 3 4 7 7 9 13 8 2 -3 -7 -3 3 9 11 10 17 18 7 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 4 4 5 5 5 4 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 7 6 5 4 4 5 5 5 5 5 6 6 5 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 5 5 5 4 5 5 6 6 7 7 6 6 5 5 4 4 5 5 5 6 5 5 5 5 5 5 4 4 3 3 3 2 3 3 3 3 4 4 4 5 5 4 4 4 5 6 8 7 6 5 3 3 4 5 7 7 5 4 5 5 4 3 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 8 15 27 37 35 22 9 5 6 5 3 4 5 7 6 5 4 4 4 5 6 7 8 6 3 2 3 4 3 2 3 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 4 5 4 4 4 4 3 2 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 5 4 4 4 5 6 7 7 7 6 5 4 3 3 2 2 2 2 2 2 3 3 3 4 4 4 5 5 4 4 4 4 3 3 4 4 3 4 3 3 3 3 3 3 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 8 9 10 11 14 16 14 9 4 2 9 17 16 8 4 3 1 0 0 1 3 4 4 5 5 6 7 10 12 13 14 13 10 7 5 5 5 6 5 4 8 5 -2 4 14 11 0 -4 -6 3 19 21 11 4 2 2 3 6 6 3 1 2 5 11 14 10 5 4 6 6 5 3 2 4 3 3 5 1 2 6 -0 0 3 2 -1 -4 1 5 6 8 10 14 15 10 3 -2 -4 -0 9 16 13 9 14 18 9 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 4 5 4 4 5 5 5 5 5 6 6 5 4 4 4 3 3 4 4 3 4 4 4 5 6 6 6 7 6 6 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 5 5 4 4 5 4 4 4 5 4 6 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 6 5 5 5 4 5 5 5 5 6 5 5 5 5 6 5 5 5 4 3 3 3 3 3 3 3 3 3 4 4 5 7 10 11 10 8 9 10 9 6 6 5 4 4 5 6 6 5 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 8 8 8 12 22 35 41 32 16 9 8 7 4 2 3 3 2 1 2 3 3 4 5 4 5 4 3 2 1 2 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 4 4 4 4 3 3 3 2 2 2 2 2 3 3 4 4 4 5 5 6 6 6 6 7 8 8 8 7 6 6 5 4 4 4 5 6 7 7 7 6 5 5 4 3 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 5 4 5 5 5 5 5 6 5 5 6 7 7 8 10 11 15 19 17 10 0 -2 4 11 17 14 5 2 1 0 -0 0 2 3 4 5 5 5 6 7 9 12 14 14 11 7 4 5 6 6 6 4 1 5 8 3 -1 4 6 -2 -2 -1 0 12 17 9 3 2 1 3 6 6 2 0 3 7 12 14 10 5 4 5 4 4 2 1 2 3 8 7 -3 -4 6 4 0 4 2 -2 -2 -1 1 3 7 9 13 17 15 5 -2 -3 4 15 18 11 7 13 18 11 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 6 5 5 4 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 5 5 4 3 3 3 3 2 2 3 3 3 3 4 6 12 20 24 21 17 15 13 9 7 6 6 5 5 5 5 6 4 3 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 8 9 8 8 9 14 24 35 38 28 14 7 6 3 1 1 -0 -2 -1 -0 0 1 2 2 3 3 2 2 2 1 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 nan nan
nan 4 4 3 4 4 3 3 2 2 2 2 2 2 3 3 3 3 4 5 5 6 6 6 7 8 9 8 8 7 7 6 5 5 4 4 5 6 6 6 7 6 6 5 5 4 3 2 2 2 2 2 2 2 3 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 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 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 10 12 17 22 21 15 6 -5 -0 12 13 10 7 3 0 0 -0 -0 1 2 3 4 5 5 5 5 6 9 12 14 13 10 6 4 4 4 4 4 6 3 -2 -1 3 2 2 1 -0 1 3 0 6 11 7 2 1 2 6 7 4 3 5 6 8 9 10 9 7 5 4 3 2 1 2 3 6 10 6 -4 -3 12 13 1 4 3 -2 0 -1 -2 4 9 8 12 21 18 6 -2 -1 9 17 15 7 6 13 20 14 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 3 4 5 5 5 5 4 4 4 4 5 4 5 5 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 2 2 2 2 3 3 4 7 16 29 35 31 25 19 13 8 7 7 6 5 5 6 6 6 5 4 4 5 5 5 6 5 4 4 4 4 4 4 4 3 4 3 4 4 4 4 5 5 5 6 7 7 7 8 8 9 9 9 8 11 20 29 32 23 11 4 0 -0 0 -1 -2 -2 -1 0 1 2 2 3 3 3 2 1 1 1 1 1 1 1 4 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 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 5 6 6 7 8 8 8 8 7 7 7 6 5 5 5 5 5 5 6 6 6 6 6 5 4 4 3 3 3 3 2 2 2 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 5 5 5 5 5 6 7 7 9 14 19 23 24 20 12 1 -4 11 21 15 6 3 2 1 0 0 1 2 3 4 4 5 5 6 5 6 8 11 13 12 8 5 3 3 2 1 1 4 6 2 -1 -2 -2 -2 -1 2 4 5 1 2 6 6 5 3 3 6 5 3 9 11 8 5 4 4 6 6 5 5 4 2 2 4 7 9 9 3 -2 1 17 17 1 2 3 1 6 5 4 9 10 9 19 26 18 5 1 5 14 17 10 6 6 12 21 15 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 4 4 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 3 3 3 4 4 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 5 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 1 1 1 2 2 3 4 8 18 32 35 28 24 18 11 8 7 7 6 5 5 5 6 6 5 5 4 5 6 6 7 6 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 8 8 9 9 8 8 6 7 15 25 28 23 13 3 -0 1 1 -0 -0 1 2 2 3 3 3 3 2 2 1 1 1 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 6 5 5 5 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 5 6 6 6 7 7 7 7 7 7 8 7 6 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 3 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 7 9 12 15 21 24 22 21 21 14 1 4 21 25 13 3 1 2 1 1 1 2 3 3 4 5 6 6 6 6 6 8 10 11 9 6 4 4 4 4 3 0 1 2 6 8 4 -2 -2 1 4 6 5 3 3 3 4 5 5 5 2 2 8 17 14 6 1 -1 1 5 7 5 5 4 4 3 6 8 8 5 2 3 7 15 12 2 4 6 4 11 9 8 10 11 19 29 26 13 4 6 15 19 14 7 5 7 13 21 15 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 5 6 6 5 5 4 4 4 4 4 3 4 3 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 4 5 5 5 5 5 5 4 4 4 4 5 6 5 5 5 4 4 4 4 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 3 3 3 3 2 2 1 1 1 2 3 4 7 15 24 24 18 16 13 9 8 7 7 6 6 5 5 5 5 5 4 5 5 4 6 7 7 6 6 5 2 2 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 7 8 9 9 9 9 8 6 5 8 17 28 35 30 13 1 2 2 2 2 3 3 3 3 2 2 1 1 1 0 0 1 2 3 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 4 4 5 4 5 5 4 4 4 3 4 3 3 3 3 3 4 3 4 4 5 5 6 6 6 6 6 7 8 8 7 7 6 5 4 4 4 5 6 6 6 7 7 6 6 5 4 3 3 3 3 3 3 2 3 3 3 2 2 2 2 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 5 5 5 5 5 7 10 12 16 21 25 24 20 16 18 24 20 12 14 20 19 8 2 1 1 1 2 2 3 3 4 5 6 6 6 6 6 6 7 9 8 6 3 3 6 5 8 8 4 5 6 3 1 2 4 4 5 8 8 7 8 7 4 3 3 5 7 1 2 14 19 10 3 0 -1 -1 3 8 7 5 4 4 4 7 9 7 4 1 4 9 11 7 3 7 8 3 7 4 4 7 17 31 30 20 10 9 15 19 17 10 6 5 8 15 20 13 4 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 5 4 4 4 4 4 3 3 3 3 2 3 3 3 3 2 1 1 1 1 2 4 6 12 16 13 10 9 8 7 7 7 7 6 6 5 5 5 5 4 5 4 4 2 4 6 6 6 5 5 4 3 4 4 4 3 3 3 4 4 3 4 4 5 5 5 5 6 8 9 9 10 10 9 7 6 6 11 19 30 31 15 2 1 1 2 2 3 3 3 2 1 0 0 0 0 1 1 1 2 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 6 5 4 4 4 5 5 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 9 9 8 7 5 5 4 4 4 5 5 6 6 7 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 3 3 3 3 3 4 4 4 4 5 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 8 11 16 21 24 27 26 18 11 10 15 22 26 26 22 15 8 4 2 1 1 2 2 2 3 4 5 6 7 6 6 5 5 5 6 6 6 3 2 2 7 3 5 9 4 5 13 10 1 -2 2 5 8 10 9 10 14 11 6 4 4 6 6 4 1 10 12 5 3 4 4 2 5 11 9 5 4 4 4 6 8 7 5 2 5 9 8 8 6 5 5 4 2 -1 1 8 19 28 21 12 11 14 17 15 11 8 6 6 9 15 19 11 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 7 6 6 6 5 5 4 3 4 3 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 4 5 6 6 4 4 4 4 4 3 2 2 2 2 2 3 3 3 2 2 1 1 1 1 4 7 11 12 8 4 5 6 7 7 6 6 6 6 6 6 6 5 4 4 4 5 4 3 4 5 4 4 5 6 5 4 5 4 4 4 3 3 3 3 3 4 5 4 4 5 5 6 8 10 11 11 10 8 7 7 7 9 12 12 5 2 1 1 1 2 2 2 1 1 0 0 1 1 1 1 1 2 1 2 2 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 7 8 8 7 6 5 5 4 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 6 7 8 9 9 8 7 6 5 5 4 4 4 4 6 6 6 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 13 17 21 25 24 22 16 10 8 9 12 18 24 26 20 8 3 4 2 1 1 2 3 3 4 5 6 7 7 6 4 3 4 4 4 4 5 2 -2 0 5 0 -1 4 3 2 7 10 7 3 2 3 8 8 6 10 14 12 8 8 9 8 8 7 2 2 3 1 3 8 12 14 15 16 10 5 3 3 4 7 8 6 3 3 6 8 8 9 8 2 -0 6 1 1 5 10 17 18 14 11 11 12 11 8 6 6 6 7 10 17 21 12 5 5 5 5 6 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 3 2 2 3 3 2 2 2 3 3 3 4 4 3 4 4 5 5 5 5 5 4 5 4 4 4 4 4 5 5 6 8 9 9 7 6 5 5 5 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 4 5 6 6 5 4 4 4 3 3 2 1 1 2 2 4 4 4 3 2 2 1 2 4 7 11 10 5 2 3 5 7 7 6 6 6 6 6 6 6 6 6 5 4 4 5 6 4 3 4 4 4 5 6 5 5 5 5 5 3 3 3 3 3 3 4 5 5 4 4 4 5 7 8 10 10 10 10 8 8 7 6 4 0 -1 -0 0 1 1 1 1 2 1 0 1 1 2 3 2 1 1 2 2 2 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 7 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 5 4 4 4 5 4 5 6 6 8 9 9 9 8 8 7 6 5 4 4 4 5 6 6 7 6 6 5 4 4 4 3 4 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 9 15 18 19 18 15 12 9 9 11 12 11 14 15 13 10 6 5 5 3 2 2 3 4 5 6 7 8 8 7 5 3 2 3 5 5 5 5 3 -1 -0 2 0 -2 -0 -0 -0 1 4 5 6 5 5 8 5 3 6 8 7 8 9 10 12 14 12 5 -1 -0 2 3 9 16 26 29 20 10 5 3 3 5 8 7 4 3 5 6 8 8 6 4 -0 1 6 1 4 10 10 15 14 9 6 4 3 2 1 3 6 7 8 11 17 19 10 5 6 5 5 6 5 5 5 5 5 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 3 2 2 2 2 2 2 3 3 3 3 4 4 5 4 5 4 4 4 4 4 4 4 5 5 6 6 7 9 10 10 8 6 6 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 2 1 2 2 2 3 3 4 4 5 6 6 6 5 4 4 4 3 3 1 1 1 2 4 5 5 4 3 3 2 4 8 11 12 8 -0 -5 0 7 8 6 5 5 6 6 6 6 6 6 6 6 5 4 4 5 4 3 4 4 4 4 5 4 5 5 4 4 3 3 3 3 4 4 4 4 5 5 4 3 4 6 7 8 10 11 11 9 8 7 6 4 2 2 1 1 1 1 1 1 2 2 1 1 2 3 3 3 1 0 1 2 2 2 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 7 7 7 7 7 7 7 6 5 5 5 5 5 6 6 6 6 6 6 5 5 4 5 4 4 4 4 5 4 4 4 5 6 7 8 9 9 9 9 9 8 6 5 3 3 4 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 7 13 17 16 14 11 9 9 9 11 14 13 11 9 7 5 5 6 6 5 4 3 3 4 5 6 8 8 9 8 6 3 2 2 4 7 7 6 5 4 2 2 4 3 2 1 1 2 3 5 6 4 5 8 6 3 3 4 1 0 2 4 6 12 21 22 13 2 0 3 5 8 12 26 33 21 9 5 3 6 8 5 -0 2 6 4 5 9 6 1 -1 2 7 10 3 7 13 13 16 10 3 -2 -3 -0 -0 2 7 9 9 9 9 12 15 11 6 5 5 5 6 5 5 5 5 5 5 5 4 5 5 4 3 3 4 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 5 4 3 3 2 2 2 3 3 4 5 5 6 5 3 3 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 6 6 6 6 7 8 9 9 8 6 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 2 1 2 2 3 3 4 4 4 5 5 6 6 6 6 5 4 3 3 2 -0 0 2 4 6 6 6 4 3 3 5 11 12 9 6 -0 -7 -2 7 8 6 4 4 5 5 6 6 6 7 6 6 6 5 4 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 6 7 9 10 11 11 10 9 8 7 6 7 7 5 4 2 3 3 2 2 2 3 2 3 4 2 0 0 2 2 2 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 6 7 8 8 8 6 6 5 5 5 5 5 6 6 7 7 7 7 6 5 5 4 4 3 3 4 4 4 4 4 5 6 7 8 8 9 9 10 9 9 7 6 4 4 4 4 5 5 5 5 4 3 3 3 3 4 5 5 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 5 4 4 4 5 5 4 5 5 4 4 4 5 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 5 6 8 12 17 18 13 9 9 9 9 9 11 14 13 11 7 6 5 5 6 6 5 4 4 4 5 6 8 9 9 9 8 5 2 0 3 6 9 8 4 3 4 3 5 8 9 8 6 4 5 6 6 6 4 6 14 7 3 6 5 -0 -2 -1 -1 2 10 21 27 18 5 0 3 9 9 7 16 25 19 12 7 6 12 12 6 3 8 8 3 7 10 5 1 1 3 5 6 6 10 13 18 15 6 2 -1 1 4 5 8 11 10 9 8 8 10 17 15 7 5 5 5 5 6 5 5 5 5 4 4 5 5 5 4 3 3 4 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 5 4 4 5 5 6 6 6 6 6 6 6 5 4 3 2 2 2 3 4 4 5 7 9 11 12 11 8 4 3 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 5 6 7 8 8 8 6 4 3 2 1 0 -0 2 4 6 7 7 6 4 3 5 9 11 9 5 -2 -7 -1 7 8 5 4 4 4 5 5 6 6 6 7 6 6 6 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 3 4 4 6 8 9 11 11 11 11 11 11 11 12 14 13 11 8 6 4 2 2 2 2 3 3 4 3 1 0 1 2 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 4 6 7 7 7 7 7 7 6 5 5 5 5 6 7 7 7 7 6 6 5 5 4 3 2 2 3 3 4 4 5 5 6 6 6 6 8 9 10 11 11 9 7 5 5 4 4 4 5 5 4 3 2 2 2 4 4 5 5 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 5 4 4 5 5 5 4 5 5 4 5 5 4 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 7 12 15 15 12 9 8 8 8 9 10 10 13 14 12 6 6 6 6 6 5 4 4 4 5 5 6 8 9 9 8 7 4 0 -0 3 8 10 7 3 2 2 3 3 6 12 17 11 3 2 4 4 6 10 11 16 7 4 8 6 1 1 3 4 7 11 14 12 8 3 2 6 10 9 9 12 14 15 12 9 10 16 18 15 16 15 9 8 11 10 6 4 2 -1 -1 0 8 11 16 19 11 4 6 6 8 11 13 15 13 10 8 7 7 11 17 15 7 4 5 6 5 5 5 5 5 5 5 5 5 5 5 4 3 4 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 3 2 2 2 2 3 4 5 6 8 11 14 17 21 18 10 4 4 5 6 5 6 6 7 7 7 7 6 6 6 6 5 5 5 4 4 3 3 4 4 4 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 8 11 13 14 11 7 4 4 3 1 0 1 3 5 7 8 8 6 4 3 4 6 11 10 3 -6 -5 3 9 8 5 3 3 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 4 4 4 4 4 6 7 9 10 10 10 11 11 13 15 17 18 18 16 13 9 6 4 3 3 3 3 3 3 2 0 0 1 3 3 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 4 4 3 2 3 4 5 6 6 6 6 7 8 7 6 5 4 5 5 7 7 7 7 7 6 5 5 4 3 2 2 2 3 4 5 5 5 6 5 5 5 6 7 8 10 12 12 11 9 8 6 5 4 5 5 5 3 2 2 2 3 3 4 5 4 4 3 2 2 2 2 3 3 3 3 3 3 4 4 4 3 2 3 3 3 4 4 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 5 5 7 11 12 10 8 7 7 7 8 8 9 10 14 17 12 5 5 6 5 5 4 4 5 4 5 5 6 7 8 8 7 6 3 -0 0 4 8 9 8 6 2 3 4 2 0 6 15 13 5 1 2 5 7 8 14 9 4 5 7 6 3 7 10 10 13 15 8 -1 -4 -1 2 5 7 7 12 13 10 11 9 8 11 14 18 21 21 14 9 10 11 9 4 2 2 1 -2 2 11 14 19 16 7 5 9 13 16 18 18 16 12 10 7 6 6 10 16 14 7 4 6 6 5 5 5 5 5 5 5 5 6 6 5 4 3 4 5 6 6 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 3 1 0 1 1 2 3 3 4 6 8 10 13 17 22 24 17 8 6 7 7 7 7 7 7 7 7 7 6 5 5 5 5 4 4 4 3 3 2 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 4 4 4 5 5 6 12 21 25 22 14 7 4 4 3 2 0 1 3 6 8 8 8 6 5 4 3 5 10 10 -1 -7 -1 6 9 9 6 3 2 3 4 5 5 6 5 5 6 6 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 5 5 5 4 4 4 4 5 5 7 8 9 9 8 9 10 12 13 15 17 20 20 18 15 12 10 7 5 4 4 3 2 0 0 2 4 4 4 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 2 2 2 3 4 5 5 5 4 5 6 8 8 7 6 5 4 5 6 8 8 7 6 6 6 6 5 5 4 3 2 3 3 4 5 5 5 5 5 5 4 5 6 8 10 11 12 12 11 9 7 6 6 5 4 3 2 2 3 3 3 3 4 4 4 4 2 2 2 2 2 2 2 3 3 4 4 4 3 3 3 2 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 6 7 9 10 8 7 7 8 7 8 9 10 11 16 19 11 5 3 4 4 4 4 4 4 4 4 5 6 6 7 8 6 4 1 -0 1 4 7 8 9 7 2 3 8 6 1 1 7 9 6 3 3 4 3 3 7 1 3 6 7 6 7 15 16 13 14 14 11 7 2 0 0 1 3 6 12 12 10 11 8 4 7 11 11 13 11 7 5 8 9 6 2 -0 0 1 2 7 13 18 20 14 9 10 15 18 20 19 15 11 9 8 7 5 5 8 14 15 9 5 6 6 5 6 5 5 5 5 5 5 6 5 5 5 4 5 5 5 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 1 -0 -1 0 2 3 3 3 4 6 8 10 10 12 16 20 18 12 9 8 8 8 7 6 7 6 6 6 5 5 5 5 5 5 5 4 4 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 6 5 6 6 5 5 4 3 3 3 3 3 3 3 4 4 4 5 4 5 8 18 30 34 26 13 6 4 4 2 1 0 1 4 7 9 10 9 7 6 5 4 4 8 7 -2 -3 2 6 8 9 6 3 2 2 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 4 4 4 4 5 6 6 7 7 8 8 7 7 9 10 10 13 16 19 19 20 21 16 10 7 6 5 3 2 2 4 5 5 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 2 1 0 2 3 4 4 4 3 4 5 7 8 7 7 6 5 4 6 8 9 8 7 6 6 7 7 7 6 5 4 3 3 4 5 5 5 5 5 5 5 4 5 6 7 9 11 11 12 12 12 10 8 6 4 4 3 3 3 4 4 3 3 3 4 4 4 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 10 10 8 8 8 7 8 11 10 13 19 17 9 4 3 4 4 4 4 4 4 3 4 4 5 6 7 8 5 1 0 0 1 3 5 6 7 7 1 1 5 8 5 3 3 4 4 4 6 7 5 4 -1 -3 1 2 4 5 10 14 12 13 13 10 10 13 11 7 4 4 5 8 10 10 10 10 8 1 4 13 11 8 5 1 -2 4 10 7 1 0 1 -0 2 7 11 18 19 17 18 19 18 17 16 14 9 7 6 6 6 5 5 9 17 19 10 4 6 6 5 6 5 5 5 5 5 5 5 6 6 5 5 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 5 5 5 5 5 5 4 4 4 3 2 2 2 0 -0 -0 1 2 3 4 4 4 6 8 9 9 9 9 10 11 11 9 7 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 5 5 5 5 4 5 5 5 6 6 5 5 5 5 5 5 4 5 5 4 3 3 3 3 4 4 4 4 4 5 5 4 4 11 21 27 28 21 10 5 3 3 2 1 1 2 5 8 10 11 10 9 7 6 5 5 6 3 -0 2 4 5 8 9 6 4 2 2 3 4 4 4 5 4 5 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 7 6 6 7 7 7 8 9 10 11 13 16 18 20 17 12 11 9 7 5 5 5 5 5 6 7 9 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 1 0 1 2 3 4 4 3 3 4 5 6 7 7 6 5 4 5 7 9 9 8 7 7 8 9 9 8 7 5 4 4 4 5 5 5 5 6 5 5 4 5 6 6 8 8 10 11 14 15 14 12 9 7 5 4 3 4 5 4 4 3 3 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 4 4 3 3 3 3 3 4 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 5 5 5 5 5 5 6 6 6 10 13 9 8 8 8 10 10 11 19 22 14 6 4 4 4 4 4 5 4 3 3 4 4 5 8 10 9 5 2 2 2 1 1 2 3 6 7 4 1 6 13 11 5 1 0 3 4 5 5 3 2 1 2 3 -1 -1 2 7 5 5 9 12 8 4 6 10 11 10 8 7 9 10 11 11 12 12 9 10 14 14 11 9 6 5 8 9 5 1 2 2 3 7 8 10 18 22 22 22 19 16 13 12 10 7 5 5 4 4 4 6 11 16 10 1 2 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 4 5 5 5 5 5 5 6 5 6 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 3 3 3 3 2 2 1 1 0 1 2 3 4 4 4 4 5 7 8 8 8 6 5 6 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 7 8 7 7 7 7 7 6 7 6 6 6 6 5 5 6 6 6 6 5 5 4 4 5 5 5 4 3 3 3 4 4 4 4 4 5 5 5 4 4 11 19 20 19 13 8 6 4 3 2 2 3 4 6 9 11 12 11 10 8 7 6 6 5 4 3 3 4 5 7 9 7 4 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 5 6 6 5 6 6 6 6 7 6 5 4 4 4 6 6 5 5 4 4 4 4 5 5 6 6 6 6 7 6 6 7 8 9 8 9 10 10 12 14 13 11 9 8 6 6 5 5 5 6 7 10 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 2 2 3 3 3 4 3 3 3 3 4 5 6 6 6 5 5 6 8 9 8 8 8 9 10 10 9 7 6 5 4 5 5 4 5 6 6 6 5 5 5 6 6 7 7 7 9 12 15 16 14 12 10 7 4 4 4 5 4 3 3 3 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 13 14 9 9 9 10 11 8 17 28 21 9 4 4 4 4 5 5 5 4 3 3 3 4 7 9 11 11 8 5 5 3 1 1 0 1 4 8 10 4 6 15 17 9 1 0 2 3 4 3 2 2 5 9 10 5 0 -1 1 -1 2 9 11 5 2 4 9 12 9 5 4 7 11 15 20 20 19 19 16 12 9 8 11 16 21 16 8 9 11 10 8 7 9 11 17 22 23 19 15 13 12 11 10 8 7 5 4 4 5 4 5 8 6 -0 -2 4 8 7 6 6 6 5 5 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 6 6 6 6 6 6 5 5 5 4 3 3 3 3 3 2 2 2 1 2 3 4 5 5 4 4 4 5 6 7 8 7 6 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 5 5 6 6 5 12 17 16 14 10 7 5 4 3 3 4 5 6 7 9 11 13 13 10 9 8 8 7 6 6 5 4 3 5 7 9 7 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 6 6 6 6 6 6 6 7 6 4 3 4 6 6 5 5 5 4 5 5 5 5 5 6 6 6 7 6 5 5 6 7 8 10 9 8 8 8 9 9 8 7 7 6 6 5 6 5 6 8 11 11 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 4 4 4 4 3 3 3 3 4 5 6 6 6 5 5 7 8 9 9 9 10 10 10 8 7 6 6 5 4 4 4 4 5 6 6 6 5 5 6 6 7 6 7 8 10 13 15 15 15 14 11 8 6 5 4 4 3 3 2 3 4 4 4 4 3 3 3 2 2 1 1 2 3 3 3 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 5 6 6 6 6 6 8 13 12 9 10 12 13 14 14 27 29 16 5 3 4 5 5 5 5 4 3 3 3 4 6 8 9 10 10 9 8 5 3 2 2 1 1 4 9 12 4 -0 7 14 12 4 1 2 4 4 6 5 1 5 13 14 11 4 -1 -1 -0 1 8 11 4 3 5 8 9 6 2 2 6 12 20 27 25 18 14 10 4 1 1 5 16 26 19 16 25 30 24 17 14 13 16 21 20 15 11 9 9 10 9 8 6 5 5 5 5 5 4 4 5 4 2 4 9 15 12 6 5 6 5 5 5 5 6 6 5 5 5 4 4 5 6 5 5 5 5 5 5 5 5 4 5 6 6 5 5 5 5 6 7 6 6 6 6 6 5 5 4 4 3 3 2 2 3 3 2 2 3 4 5 6 7 6 5 4 4 4 5 7 7 7 6 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 5 5 6 6 6 5 5 6 6 6 6 5 4 4 3 4 3 3 3 4 3 3 4 4 5 5 6 7 10 17 16 13 13 9 6 3 -1 -1 3 5 6 6 7 8 11 14 14 13 11 9 8 7 6 6 6 5 5 6 9 11 8 5 4 4 3 3 3 4 3 3 4 4 4 3 4 4 4 5 5 5 5 5 6 6 7 7 7 6 6 6 6 5 5 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 5 6 9 10 10 9 8 8 8 8 7 7 6 5 6 6 6 6 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 5 5 4 4 4 4 3 2 3 3 3 4 5 6 6 6 5 5 7 8 8 9 10 10 10 8 7 6 6 6 4 3 4 4 5 5 6 6 6 6 6 7 7 7 8 8 9 11 13 14 15 15 14 12 9 7 6 5 4 3 3 3 4 4 4 4 3 3 2 2 2 1 1 2 2 3 3 3 3 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 7 7 7 6 8 12 11 9 11 14 15 17 27 36 23 9 3 4 5 5 5 5 4 4 3 2 3 6 7 8 8 8 9 9 8 6 5 5 4 2 2 7 12 12 3 -3 1 6 9 6 3 3 3 4 7 3 -1 3 9 11 10 6 2 2 3 4 10 15 11 7 5 4 6 5 3 3 7 12 16 17 13 8 4 -1 -6 -8 -6 -3 6 17 21 28 36 34 23 17 19 22 22 17 10 6 5 7 9 9 7 6 6 5 5 5 5 4 2 3 5 4 5 7 11 18 14 6 5 6 6 5 5 5 5 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 6 6 7 7 6 6 5 4 4 4 3 3 3 3 3 2 3 4 5 6 7 8 8 7 5 5 4 5 5 6 7 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 6 9 13 21 23 15 11 11 9 6 2 -4 -7 0 5 5 6 7 9 10 13 16 16 13 11 9 8 7 8 9 9 10 12 14 12 8 6 6 5 4 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 7 7 6 6 7 6 6 5 6 6 5 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 5 6 7 9 10 10 10 9 9 9 8 7 7 7 7 8 8 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 8 7 6 6 5 4 3 3 2 2 3 3 5 6 6 6 5 4 5 6 6 7 8 10 10 10 9 8 7 6 5 4 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 10 11 12 13 14 16 16 14 12 9 7 5 4 4 4 4 4 4 4 4 4 3 2 2 1 1 2 3 4 3 3 3 3 4 5 5 5 5 4 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 6 6 7 7 7 7 6 6 9 13 11 9 11 12 14 19 31 27 12 5 4 5 5 5 4 4 4 3 3 2 3 6 7 7 8 8 10 10 9 9 8 8 6 2 1 5 9 8 1 -2 0 4 5 7 5 5 4 6 10 7 2 2 1 2 5 6 5 6 8 12 16 15 14 13 11 8 6 6 4 4 6 9 9 5 1 -1 -2 -5 -8 -10 -7 -4 -2 8 18 27 32 25 16 12 15 18 16 8 3 2 4 8 10 8 6 7 7 6 5 7 5 1 0 3 6 5 6 8 11 17 15 8 5 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 7 7 6 6 6 6 5 3 3 3 3 3 3 3 3 3 4 5 6 7 9 9 8 7 5 5 5 4 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 4 4 6 12 18 22 26 20 12 10 11 9 6 3 -3 -8 -2 3 6 7 8 9 9 11 15 17 17 15 13 12 12 13 16 19 21 20 17 12 8 7 7 6 4 2 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 9 10 10 10 10 9 10 9 8 8 7 8 7 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 10 10 11 11 10 10 8 6 4 2 2 2 2 4 6 6 6 4 4 3 4 4 5 5 7 9 11 11 10 8 7 6 5 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 9 10 11 12 14 16 16 15 13 10 7 5 5 4 4 5 5 5 5 5 5 4 2 1 1 2 3 3 3 3 2 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 7 7 7 7 8 7 6 6 8 13 16 12 10 10 9 11 18 21 11 5 5 5 5 5 5 5 4 4 4 3 2 3 4 7 7 8 8 10 11 9 10 11 13 11 5 -1 -1 2 6 4 2 2 4 4 5 5 5 6 12 14 10 6 4 -1 -2 0 4 7 10 15 20 18 10 7 11 13 10 7 5 3 2 3 5 5 4 2 1 1 -0 0 1 0 0 -2 -0 7 15 18 14 10 8 8 8 4 -2 -3 0 6 10 11 8 7 9 8 6 6 7 4 -0 1 5 7 6 6 8 11 18 17 9 5 5 6 6 6 5 5 5 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 7 6 6 6 5 5 4 4 3 3 3 2 3 3 3 4 4 5 6 7 8 9 7 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 5 12 19 19 18 18 13 9 9 12 9 6 3 -2 -11 -5 3 6 9 9 9 9 9 11 14 17 18 19 20 20 19 19 22 24 22 17 11 8 8 7 6 5 4 4 5 4 3 3 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 7 6 5 4 4 5 5 5 4 4 5 5 5 5 4 5 5 4 4 5 4 4 3 4 4 5 7 7 8 9 9 10 11 11 10 10 9 8 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 9 10 11 13 13 13 13 11 8 6 3 2 2 3 5 6 5 4 3 3 2 2 2 3 4 6 8 11 10 9 8 7 6 5 5 5 5 5 5 6 5 6 6 6 6 5 6 6 7 8 9 10 10 10 11 13 14 14 12 9 7 6 5 6 5 5 6 7 7 6 5 3 2 1 2 2 3 3 3 2 2 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 8 8 8 6 7 9 15 21 19 12 8 7 4 9 14 11 6 4 4 5 4 4 5 4 4 4 4 3 3 2 3 5 6 6 7 8 9 9 9 12 15 16 9 2 -0 5 9 6 2 1 2 4 3 4 5 7 13 13 11 13 10 6 2 0 3 9 16 21 21 14 8 5 5 6 6 5 4 4 1 0 0 3 8 7 6 7 7 9 15 15 6 0 -1 3 6 4 4 4 4 6 3 -3 -7 -2 6 9 9 9 6 7 9 8 6 7 7 3 1 3 6 7 6 6 8 15 23 19 8 4 5 6 7 6 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 5 5 5 4 3 3 3 2 2 3 3 4 4 4 5 5 6 6 7 7 6 5 6 6 6 6 6 5 6 5 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 5 4 3 3 3 2 2 2 3 3 4 6 15 18 14 11 11 9 7 9 12 10 5 4 2 -12 -13 2 7 10 9 8 8 8 9 10 12 14 18 21 22 18 15 14 15 16 13 11 9 10 10 10 8 8 8 6 4 3 2 2 1 2 2 3 3 3 3 3 3 4 4 5 5 5 5 4 5 5 5 5 5 5 6 6 7 7 6 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 6 5 6 5 6 8 9 9 9 10 11 9 7 5 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 8 9 11 12 14 16 16 14 12 8 5 3 3 4 5 6 5 3 3 3 3 2 2 2 3 5 7 8 8 7 7 7 6 6 5 5 5 6 5 6 6 5 5 5 5 4 5 6 7 8 10 10 8 8 9 10 11 11 10 8 7 6 6 5 5 6 7 7 7 6 5 4 2 2 3 4 3 2 2 2 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 8 8 9 11 17 23 27 21 10 5 1 -0 8 11 7 5 4 3 3 4 4 4 4 5 4 4 4 4 3 2 3 4 6 7 7 6 5 6 8 12 14 13 8 4 6 7 7 4 2 2 2 3 4 5 6 7 6 12 20 18 15 11 8 9 16 22 21 14 8 6 4 2 2 3 2 4 6 4 2 -4 5 15 11 6 8 9 11 16 19 12 5 2 3 2 -2 -2 1 4 4 1 -2 0 9 14 11 8 7 6 7 7 7 6 6 6 3 2 4 5 6 6 6 11 22 25 14 5 4 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 6 7 7 6 6 5 5 5 4 4 3 3 3 3 2 2 3 3 4 4 5 5 5 6 6 6 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 6 7 6 6 7 7 7 7 7 7 6 5 4 3 3 2 2 2 2 2 3 4 7 15 18 14 10 9 6 5 8 11 9 5 4 3 -5 -9 -0 6 9 9 8 6 7 8 8 8 8 12 15 14 10 8 7 7 8 9 10 10 10 11 12 14 14 12 7 3 2 1 1 1 1 2 2 2 3 3 3 3 3 4 4 5 4 4 4 5 4 4 5 5 5 5 6 7 7 6 6 5 4 4 4 4 4 5 5 6 5 4 5 6 6 5 4 5 5 5 5 5 5 6 6 5 5 4 4 4 6 7 9 10 10 8 7 6 5 5 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 8 9 10 13 15 17 16 15 12 8 5 5 5 5 5 5 5 4 4 3 3 2 2 3 4 6 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 7 8 10 11 10 7 7 8 8 9 9 8 7 7 6 6 6 6 5 6 6 6 6 5 4 4 4 4 4 2 2 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 6 6 6 6 6 7 8 11 14 17 20 22 24 21 12 6 2 5 12 10 5 3 3 3 3 4 4 4 4 4 4 5 5 5 4 3 2 4 7 9 7 4 2 3 5 6 9 14 11 8 5 5 8 7 6 4 3 2 3 5 4 2 3 10 16 19 20 22 27 32 31 23 13 7 6 5 3 3 5 6 4 4 5 7 5 -1 11 18 11 6 6 6 4 1 -2 1 6 6 3 2 0 1 0 2 2 4 7 15 20 17 10 7 6 6 7 7 6 6 7 5 3 3 5 5 5 6 8 16 25 20 7 3 4 5 6 6 6 6 5 4 4 5 4 4 4 4 4 4 5 5 5 4 4 5 5 6 6 6 6 6 7 7 6 6 5 5 4 4 3 3 3 2 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 4 4 3 2 2 2 3 3 4 5 10 18 19 13 9 9 5 4 7 10 9 5 5 2 -6 -7 1 6 7 8 6 6 7 7 7 6 6 7 8 6 5 6 6 6 6 7 9 11 7 6 9 12 14 12 7 2 1 0 1 0 0 1 2 2 2 3 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 4 5 5 7 7 6 5 4 3 3 3 3 4 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 6 7 7 7 6 4 3 3 5 6 7 8 8 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 8 7 7 7 6 6 8 10 12 15 16 16 14 11 9 8 7 6 6 6 5 5 4 4 4 3 3 3 4 5 7 7 7 7 7 6 5 5 4 4 4 5 5 5 5 6 5 4 5 6 7 9 10 11 9 8 6 6 5 7 8 8 7 7 6 6 5 5 5 5 5 6 5 5 4 4 4 3 3 3 3 3 4 4 3 4 4 4 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 6 6 6 5 5 6 7 8 11 16 18 18 18 17 13 12 16 17 15 14 18 17 10 3 2 3 3 4 4 4 4 4 4 5 5 4 6 5 3 2 4 6 9 8 4 2 3 4 4 5 10 13 10 6 5 7 7 6 6 3 2 3 5 4 4 7 8 5 9 17 28 42 48 35 16 5 4 5 4 3 5 8 8 5 6 4 2 4 8 15 14 10 6 3 0 -4 -7 -7 -2 6 9 8 4 4 4 3 4 8 11 18 23 21 14 8 6 6 8 8 6 6 6 6 4 3 4 5 6 7 6 10 20 24 14 4 3 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 6 6 6 5 6 6 6 6 6 6 5 4 4 4 3 3 2 2 2 2 3 3 5 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 7 7 7 7 6 5 4 3 3 2 3 3 4 4 6 11 20 24 18 9 9 12 7 2 6 9 8 6 6 5 -5 -12 -3 5 6 6 5 5 5 6 8 7 4 4 4 3 3 4 6 6 6 7 8 11 7 2 6 7 9 8 5 2 1 1 -0 -0 1 1 1 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 5 5 5 6 7 7 6 4 3 3 3 3 4 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 7 8 9 9 8 6 4 4 4 4 5 6 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 7 6 6 6 5 6 7 9 11 14 15 15 14 13 11 10 10 8 7 6 6 6 6 5 4 4 4 4 5 7 7 7 7 6 6 5 4 4 4 4 4 4 5 5 5 5 4 5 6 7 9 10 10 8 6 5 5 6 6 8 8 8 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 6 9 13 16 19 25 28 23 16 15 15 12 6 9 17 21 24 22 15 8 4 3 3 3 4 4 5 5 5 5 5 4 5 6 5 3 3 3 4 8 8 5 2 2 3 3 4 9 13 10 7 7 6 6 5 3 1 2 3 4 4 6 7 4 -0 1 10 20 29 33 22 9 6 7 6 4 3 5 7 6 6 9 5 -1 -3 8 12 10 8 4 1 1 2 5 10 13 13 9 6 3 4 2 4 8 12 15 20 20 15 9 7 6 7 8 7 6 6 6 5 3 2 3 6 8 8 8 12 21 21 9 2 3 4 5 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 6 6 5 6 6 7 6 6 5 5 4 4 3 3 2 2 2 2 2 3 5 6 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 6 6 5 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 4 3 3 3 4 4 4 5 9 18 25 21 14 9 11 13 8 3 6 8 7 6 6 6 0 -9 -6 2 5 5 4 4 4 5 8 9 5 4 3 2 2 1 2 5 6 7 8 8 6 6 8 8 7 6 5 4 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 6 6 5 5 5 7 7 7 5 4 3 3 3 4 5 5 6 6 5 6 6 6 5 6 6 6 5 5 5 4 5 7 10 12 13 12 9 6 5 5 4 4 5 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 8 8 7 7 6 6 6 5 4 4 6 8 11 14 14 13 13 13 12 11 10 8 7 6 6 7 6 5 4 4 4 6 7 7 7 7 7 6 5 4 4 3 3 3 4 4 5 5 5 4 5 6 7 8 9 8 7 5 5 5 6 6 8 8 7 7 6 5 5 6 6 4 4 3 3 3 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 3 4 5 5 5 5 5 5 5 7 14 22 28 31 35 38 32 21 10 8 15 19 14 10 12 16 17 13 8 6 4 3 3 4 4 5 5 5 6 6 5 4 7 10 7 4 4 3 4 6 7 6 4 2 1 2 4 8 11 8 5 5 5 6 3 -1 -1 -0 2 2 0 1 -0 -1 -1 3 9 12 10 9 10 7 7 8 9 9 7 7 7 6 6 6 5 4 1 5 1 4 8 5 3 6 13 18 20 17 11 1 -3 2 6 2 2 10 12 12 14 12 9 7 6 7 8 7 6 5 5 5 4 3 4 6 8 8 8 7 12 18 17 6 2 3 5 5 6 6 6 5 4 4 4 4 4 5 5 4 4 5 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 2 2 2 2 2 3 4 6 7 7 6 6 6 6 6 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 5 5 6 6 6 6 6 6 5 4 5 4 5 5 5 4 4 4 4 3 3 4 5 5 7 12 19 20 14 11 14 17 14 7 5 9 13 10 6 6 6 3 -3 -4 2 5 4 4 4 3 4 5 8 8 6 5 4 4 1 -0 3 6 7 8 6 6 8 9 9 9 8 7 7 6 6 6 5 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 6 6 5 5 5 6 7 7 5 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 6 9 13 15 13 10 8 7 7 7 6 6 6 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 6 7 6 6 7 6 5 5 4 4 6 8 9 9 9 10 11 12 10 9 7 6 6 7 7 6 5 5 5 6 7 7 7 7 7 6 5 5 5 4 3 3 3 3 4 4 5 4 4 5 6 6 7 7 7 6 6 5 6 6 7 8 8 7 7 6 6 6 6 5 4 3 3 3 3 4 4 5 5 5 6 7 7 6 5 5 5 5 5 5 5 5 4 3 3 4 4 4 5 5 5 4 4 8 18 29 34 35 33 28 24 21 16 8 4 12 17 17 15 11 8 5 4 4 5 5 4 4 4 4 4 5 5 6 7 6 4 8 12 9 6 4 4 6 7 8 11 9 4 1 -1 -1 1 2 4 6 5 4 3 3 2 2 2 3 0 -1 -1 -3 -2 3 7 12 12 6 -1 2 5 6 8 10 10 9 9 10 8 6 4 3 9 15 13 6 4 4 4 7 9 17 23 21 12 0 -5 0 6 4 2 5 11 13 14 14 10 7 6 7 7 7 5 4 5 5 5 4 5 8 10 9 8 7 7 10 16 16 7 3 4 5 6 7 6 6 5 5 5 4 5 5 5 4 3 4 5 5 4 4 4 5 5 5 5 6 6 6 6 5 5 4 4 3 3 2 2 3 2 3 2 4 7 8 7 6 6 6 6 7 6 5 5 5 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 5 5 4 4 5 4 4 4 4 5 5 7 12 17 19 17 12 12 18 20 13 6 6 10 15 16 10 6 5 2 -1 -1 3 5 5 4 4 3 3 3 4 5 6 5 4 4 3 2 3 5 6 7 7 7 8 9 9 10 10 10 10 9 8 8 7 6 7 6 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 5 6 6 7 7 6 5 5 5 6 7 6 5 4 4 4 4 5 6 6 7 6 7 6 6 6 6 6 6 5 4 4 4 3 3 4 8 11 12 10 9 9 9 10 10 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 5 5 5 7 8 8 8 6 6 6 7 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 4 5 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 5 4 3 3 3 3 4 4 5 5 5 6 7 7 6 5 5 4 5 5 6 5 5 4 4 3 4 4 4 5 4 4 4 10 22 31 32 27 19 11 4 4 9 13 13 10 9 6 7 10 7 2 1 2 3 4 5 5 4 5 5 5 4 5 7 10 11 9 9 10 9 5 3 4 8 6 7 13 15 9 2 -1 -1 -1 -2 3 4 4 2 1 4 6 7 6 5 3 2 2 2 3 6 8 11 11 6 -2 -4 3 4 6 8 5 4 7 10 10 7 4 3 10 16 12 8 2 -3 2 7 10 14 16 15 9 6 9 11 9 3 3 11 17 17 16 15 11 7 7 8 7 5 4 4 5 5 4 4 9 13 12 9 8 7 6 9 15 17 9 4 5 6 7 7 6 6 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 3 3 3 2 2 3 3 3 2 4 7 10 10 7 6 6 6 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 4 4 5 5 5 5 5 5 6 12 20 21 17 15 12 13 17 16 11 7 4 2 7 14 13 8 4 -1 -2 1 5 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 4 5 6 6 6 7 8 8 9 10 11 11 11 11 10 10 9 9 8 8 8 9 8 6 4 3 3 3 3 4 4 4 4 4 5 5 6 6 7 7 6 6 5 5 5 6 6 6 5 5 4 4 5 5 6 6 7 7 7 6 6 6 6 7 6 5 4 3 2 2 1 2 3 5 6 6 6 7 8 9 10 12 12 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 7 7 6 5 5 4 4 5 6 6 6 6 6 7 8 8 8 6 5 4 5 5 6 7 7 6 6 7 8 9 9 8 7 7 6 6 7 6 6 6 6 6 6 7 7 7 7 7 6 5 4 4 4 4 4 5 6 7 8 8 8 7 6 7 7 7 6 7 7 8 8 7 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 4 3 3 5 14 29 33 19 8 5 4 1 0 3 7 11 15 16 12 6 1 -1 7 6 0 0 2 2 3 3 3 4 5 5 6 7 10 13 15 14 12 10 9 8 6 4 3 2 1 7 14 15 9 6 7 12 12 5 3 4 2 2 3 5 6 8 7 6 6 3 2 1 1 4 7 8 4 2 1 1 3 5 3 2 1 -2 1 5 6 5 8 11 9 3 2 7 8 8 6 2 5 3 2 8 11 13 13 14 15 18 21 21 21 18 12 7 6 8 7 4 4 5 5 5 5 6 7 11 13 11 8 7 6 5 6 13 19 14 6 4 6 6 6 6 5 5 6 7 7 6 6 5 4 4 4 4 5 4 4 5 5 5 6 6 6 6 6 6 5 4 2 2 2 3 3 3 2 3 4 6 9 11 11 8 6 6 6 7 7 6 6 5 5 4 4 4 4 4 4 4 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 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 11 22 22 9 6 9 10 10 11 11 10 6 1 -5 -7 -2 5 7 2 -1 1 4 5 6 5 6 6 6 6 6 5 5 3 3 3 3 3 3 4 4 5 5 6 6 5 6 7 7 8 9 9 10 11 11 11 11 11 10 10 10 10 10 8 5 4 4 4 3 3 3 4 4 5 5 5 6 6 7 7 7 7 6 6 5 5 6 6 6 6 5 5 5 5 5 6 6 7 7 6 6 6 7 7 6 6 5 4 4 2 1 0 -0 -1 -1 1 1 2 1 2 4 6 11 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 13 14 15 15 14 11 8 6 6 5 5 5 6 6 6 7 7 7 7 6 6 6 6 7 8 8 8 7 6 5 4 4 3 3 3 4 4 5 6 7 6 6 6 6 7 8 8 8 7 6 6 5 4 4 5 4 4 5 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 2 3 12 23 24 13 -1 -5 -3 2 5 6 7 7 16 24 27 25 16 9 9 10 9 6 3 1 2 4 4 4 3 3 3 4 7 10 10 9 8 7 8 10 12 12 10 8 8 8 4 0 -1 -1 3 4 4 6 7 8 9 9 10 9 7 6 6 5 6 4 4 6 4 4 7 8 7 8 10 10 8 7 6 7 6 6 7 6 5 6 6 4 5 9 9 10 10 6 -1 -0 9 20 16 7 5 6 6 9 17 22 23 18 12 8 5 4 5 7 6 4 3 4 4 3 3 5 8 9 10 9 8 6 6 6 5 5 5 7 8 9 8 7 5 5 5 5 5 6 7 6 6 6 6 5 4 4 5 5 5 4 4 4 4 5 6 6 6 5 5 4 3 2 2 3 4 4 4 5 8 9 10 9 9 9 8 7 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 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 5 6 6 6 6 5 7 16 19 10 6 8 9 9 9 10 11 9 5 4 4 5 5 5 3 1 1 3 5 5 6 6 6 6 6 6 6 7 6 6 7 7 7 6 6 6 6 5 5 4 4 4 4 4 5 5 6 6 7 8 8 9 10 11 12 12 12 13 13 13 11 9 7 5 4 3 3 2 3 3 5 5 5 5 5 5 6 7 7 6 6 6 5 6 6 6 6 6 6 6 5 5 6 6 6 6 4 4 6 9 11 12 10 10 10 9 8 6 5 3 1 0 1 2 3 3 3 2 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 14 16 16 15 12 10 8 7 6 6 6 7 6 6 7 7 6 6 6 5 5 6 7 8 8 8 7 5 4 3 3 3 3 3 4 5 6 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 5 4 4 4 4 5 5 5 5 6 6 6 5 4 4 4 5 4 4 4 4 4 5 4 3 7 17 19 10 2 -3 -4 -1 5 7 8 8 8 19 20 17 15 6 1 4 9 9 5 2 1 1 3 4 3 3 2 3 5 8 10 10 9 9 8 7 8 10 10 10 9 9 9 7 1 -2 0 4 4 6 5 2 4 6 9 11 12 13 10 7 5 5 4 4 5 3 3 8 9 9 11 15 17 14 10 8 8 7 8 8 7 6 7 8 4 5 7 8 10 8 0 -3 4 7 11 8 5 6 6 8 12 17 18 14 10 7 5 3 4 7 8 5 3 4 4 3 2 3 7 10 10 9 7 6 6 6 6 6 6 7 6 7 12 14 9 5 5 5 6 6 7 7 6 6 6 6 4 3 4 4 5 6 5 4 4 5 6 6 6 6 5 4 3 2 2 3 4 4 4 5 9 11 12 11 9 8 7 7 7 7 6 6 6 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 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 5 5 5 5 5 5 5 6 5 8 16 16 9 7 8 9 8 9 12 12 9 5 5 5 5 6 4 1 -1 1 4 5 6 6 7 7 7 6 7 6 7 7 7 7 7 7 8 7 7 6 6 5 4 4 3 4 4 4 4 5 5 6 6 8 8 9 10 10 11 11 12 13 14 15 13 10 8 5 3 2 2 2 3 3 4 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 4 5 9 14 17 16 11 9 8 8 7 6 5 3 2 1 2 3 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 9 11 13 15 15 12 11 9 8 8 7 8 7 7 7 7 6 6 5 5 5 5 6 7 8 9 8 6 5 4 4 3 3 4 4 5 6 7 7 7 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 7 7 8 8 7 5 4 4 4 5 6 5 5 6 6 6 5 5 4 4 5 5 4 4 4 4 4 4 7 10 11 5 -1 -3 -4 -1 4 9 10 9 8 9 11 8 3 -0 -9 -13 -7 3 7 4 0 -1 -0 2 3 3 3 3 6 8 10 10 10 10 11 10 7 5 5 8 10 9 9 9 7 5 5 6 6 6 8 5 1 2 3 6 9 11 12 13 10 7 6 7 5 5 7 6 6 7 9 12 16 18 14 10 9 6 5 5 4 3 5 9 7 4 5 8 12 15 11 5 5 9 7 3 1 3 4 4 7 12 13 11 9 6 5 4 5 7 9 8 5 5 5 4 3 3 6 9 10 9 7 6 6 7 7 6 6 7 6 5 7 15 18 10 4 4 6 7 7 7 6 6 6 6 5 4 4 3 3 4 5 6 5 5 5 6 6 6 5 4 3 2 3 3 4 5 4 5 8 12 12 11 9 8 7 7 7 7 7 6 6 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 8 13 15 15 11 9 9 10 8 9 12 13 8 5 5 6 6 6 4 1 -3 0 4 5 6 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 5 5 6 6 7 8 9 9 10 10 10 10 11 13 15 16 15 11 6 3 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 8 14 18 17 11 8 7 5 5 5 6 5 4 2 3 3 4 5 6 6 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 6 8 11 13 13 12 12 11 10 9 9 8 8 8 7 7 7 6 7 6 6 6 6 7 8 8 8 6 6 5 5 4 4 4 5 6 7 8 7 6 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 4 3 3 3 3 4 5 5 6 7 8 8 8 8 8 9 8 6 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 4 5 4 4 5 6 6 2 -2 -3 -5 -1 7 9 11 10 9 10 10 3 4 2 -5 -10 -10 -4 3 7 5 1 -0 1 3 4 4 4 9 13 15 14 9 6 8 11 11 9 5 4 6 9 8 9 8 8 6 6 7 6 6 6 5 4 4 4 5 6 7 9 10 10 9 10 11 11 11 13 12 9 9 11 11 13 15 13 10 7 5 5 3 2 2 5 9 6 5 5 9 16 19 15 10 8 5 3 -2 -3 0 2 4 8 12 11 7 6 5 5 5 6 8 9 7 5 5 4 3 5 6 9 10 10 8 6 6 6 7 7 6 6 6 4 3 9 19 18 8 2 4 7 8 8 7 6 6 6 6 5 6 5 3 3 4 5 6 6 6 6 6 6 6 5 4 3 3 3 3 4 5 6 8 10 12 10 9 8 8 7 7 7 8 7 7 6 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 12 16 12 12 12 10 10 11 9 8 11 12 8 5 5 6 6 5 4 4 3 2 4 4 5 7 7 8 8 8 7 7 7 7 7 6 6 6 6 5 5 6 5 5 5 5 4 5 5 4 5 5 5 6 6 7 8 9 9 9 9 9 10 10 12 13 16 17 14 9 5 3 2 1 1 2 2 3 4 4 5 5 5 6 6 6 6 6 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 7 12 14 13 9 7 5 4 3 4 5 5 5 5 5 4 4 4 6 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 5 6 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 4 3 2 2 2 2 4 5 6 7 8 8 8 8 8 9 10 8 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 4 5 6 7 6 2 -1 -2 -3 -3 7 13 8 8 8 10 12 11 8 9 10 7 7 6 5 6 9 9 5 4 4 4 4 5 9 15 19 18 14 7 3 5 7 9 9 7 5 6 7 7 6 7 9 8 7 6 3 4 4 5 7 7 7 7 6 5 3 4 8 9 10 13 15 14 14 14 13 12 11 12 14 18 18 11 6 6 9 10 10 8 7 6 7 8 5 6 14 13 8 5 3 1 -0 -2 -1 3 5 7 13 15 10 6 5 5 3 4 7 9 7 5 4 5 2 2 6 9 10 10 9 8 7 7 7 6 5 5 5 4 3 4 10 14 11 6 4 5 6 8 8 7 6 7 6 6 6 6 5 4 3 4 5 5 6 7 7 6 6 6 5 4 3 3 3 4 5 7 9 11 11 9 8 8 7 7 8 8 8 9 8 7 6 6 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 5 4 4 5 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 5 5 5 5 6 5 5 5 5 4 4 4 5 5 5 6 12 12 9 11 11 10 11 13 9 6 8 9 7 6 5 5 5 4 4 5 5 4 4 4 6 6 7 7 8 8 7 7 7 7 6 6 5 5 5 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 7 9 9 9 9 9 9 9 11 11 12 15 17 17 13 8 4 2 1 1 1 2 2 3 3 4 5 5 6 6 6 7 7 7 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 9 9 9 7 6 5 4 4 3 5 5 7 7 7 5 4 4 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 5 5 6 7 8 8 9 9 9 9 9 9 9 10 10 9 10 10 10 9 8 6 6 6 6 6 6 7 7 7 6 5 5 6 6 7 7 7 6 6 5 6 5 5 4 4 4 5 5 6 6 6 7 7 7 6 5 5 5 4 3 3 3 4 5 5 6 7 8 8 8 8 9 10 9 8 6 6 6 6 6 5 4 5 4 4 5 5 6 6 5 5 4 7 9 10 6 2 -0 -1 0 2 8 10 7 7 8 11 14 15 12 11 13 17 17 11 5 5 9 11 9 8 7 5 3 5 10 13 13 12 10 8 5 5 6 7 8 7 6 7 7 6 5 7 9 9 8 7 5 4 4 6 8 9 9 9 8 6 4 4 8 8 7 9 10 10 9 8 10 11 11 12 15 20 19 11 4 4 10 17 19 15 10 7 8 9 5 1 5 1 -0 2 1 1 0 1 4 8 11 13 16 14 8 5 5 4 3 4 7 6 4 4 5 4 1 2 6 9 10 9 8 8 8 7 6 6 4 4 4 4 4 6 7 6 8 10 7 5 6 7 7 7 8 8 7 6 6 5 5 4 4 5 5 5 7 8 8 7 7 6 5 5 4 4 4 4 6 9 11 11 9 7 7 7 8 8 9 9 9 10 9 8 6 6 6 6 7 7 7 6 6 5 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 11 13 12 13 10 8 12 15 10 3 4 6 6 6 6 5 5 4 3 4 4 4 4 5 5 6 6 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 8 9 10 9 8 8 8 8 10 11 12 13 16 18 18 13 6 3 2 2 2 2 1 2 2 2 3 4 5 6 6 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 6 7 8 7 6 5 4 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 6 5 5 6 6 6 6 6 7 7 8 8 8 9 8 9 9 10 10 10 9 8 7 6 6 5 6 7 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 8 9 11 11 9 7 6 6 6 6 6 4 4 4 5 5 5 5 6 6 5 4 4 2 1 2 1 1 1 2 2 5 8 8 6 11 16 18 18 14 9 11 14 10 5 1 2 7 11 12 10 7 3 2 3 6 6 6 6 7 7 7 7 7 8 8 7 8 7 6 5 4 6 6 8 8 7 7 6 5 6 6 7 8 9 10 9 8 6 4 4 4 5 5 6 4 4 8 10 10 10 11 13 12 6 1 1 5 14 18 13 7 6 9 9 3 -1 -2 -3 1 4 4 2 1 2 5 9 12 12 13 9 5 4 5 5 6 7 6 4 4 5 6 3 1 4 8 9 10 9 8 8 8 7 5 5 4 5 5 5 5 6 5 5 8 9 7 8 9 6 5 7 8 7 7 6 5 4 4 4 5 5 5 5 7 8 9 9 9 8 6 5 4 4 4 6 8 10 10 9 8 6 6 7 8 9 10 11 11 10 9 7 7 7 7 7 7 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 6 6 6 6 5 6 6 6 6 7 11 16 16 11 7 8 12 15 10 3 2 5 5 5 5 5 6 5 4 3 4 4 4 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 8 9 10 9 8 8 8 8 9 10 11 12 15 17 19 17 12 6 3 2 1 1 2 1 1 2 2 3 3 5 6 6 6 7 7 8 8 9 8 7 7 6 5 6 6 6 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 7 6 6 5 4 4 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 7 6 6 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 9 10 11 10 9 8 7 6 5 6 6 7 7 7 5 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 6 7 7 7 7 7 6 5 5 5 5 6 7 8 9 10 11 11 9 7 6 6 6 7 6 5 4 5 4 4 5 5 5 5 4 4 2 -2 -2 1 2 2 2 3 3 6 9 8 8 16 24 24 18 13 11 14 14 7 1 -1 2 9 12 12 10 7 3 2 3 4 5 6 7 7 7 7 7 8 9 9 9 9 7 5 4 2 4 4 5 5 6 6 8 8 8 7 5 5 6 8 9 8 5 3 4 5 7 7 6 4 7 9 7 4 5 7 7 7 4 2 1 1 7 12 9 5 5 7 8 4 2 5 11 10 5 3 1 2 4 5 7 9 10 8 6 6 6 7 7 8 7 4 4 5 6 4 2 2 6 9 9 9 7 7 7 7 5 5 5 5 6 7 7 6 5 4 5 6 6 8 13 12 5 4 7 6 5 5 4 4 3 4 4 4 5 5 6 8 9 11 12 11 8 6 5 4 4 6 8 9 9 8 7 7 6 7 8 9 10 11 11 10 9 8 7 7 7 7 7 7 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 7 11 15 14 9 6 7 11 13 11 7 6 6 5 5 4 5 4 3 4 3 4 4 4 5 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 6 6 7 9 9 8 8 8 7 8 8 9 10 11 12 14 17 19 18 12 7 3 2 1 2 2 2 1 1 2 3 3 4 5 6 6 6 7 8 9 10 9 7 6 6 6 6 6 6 7 6 5 5 5 4 4 4 5 5 5 5 5 6 7 7 7 7 7 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 9 10 11 11 11 9 9 8 7 8 8 8 8 6 5 4 4 4 5 5 6 6 6 7 7 7 7 6 6 5 5 5 5 6 7 7 7 7 7 7 8 8 7 7 6 5 5 5 5 6 7 9 9 10 12 12 10 8 6 6 6 6 6 6 5 5 4 4 5 5 5 4 4 4 3 4 5 4 4 4 4 4 4 5 7 6 8 16 24 24 15 11 17 20 14 6 -2 -3 3 12 17 14 9 6 4 4 4 5 7 9 10 9 8 7 7 8 10 10 10 10 7 6 4 2 3 4 4 3 3 5 8 9 9 9 7 6 4 4 6 7 7 9 9 11 11 10 7 7 10 10 6 4 4 8 10 10 9 7 6 2 2 6 9 10 8 7 7 6 10 21 24 11 2 0 1 3 5 6 7 9 10 8 8 7 8 8 7 7 6 4 6 8 5 2 2 3 6 9 9 7 7 7 6 6 5 6 6 6 8 9 7 5 4 4 5 5 6 10 13 9 4 8 11 6 3 3 4 4 4 4 5 5 5 6 8 10 12 13 12 10 7 5 4 5 5 7 9 10 8 7 6 6 7 7 8 10 11 11 11 9 8 7 7 7 6 7 8 8 7 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 6 7 7 6 6 6 6 6 8 12 13 9 6 7 9 10 12 11 9 7 6 5 4 5 5 -0 -0 3 3 4 4 4 5 5 6 6 6 6 6 6 6 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 7 8 8 7 6 7 7 7 7 8 9 9 10 11 11 13 16 19 17 13 9 6 4 3 2 2 2 1 2 2 2 3 4 4 5 6 6 7 8 10 10 9 7 6 6 6 6 6 7 7 6 5 4 4 4 4 4 4 4 4 5 6 7 8 8 8 7 6 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 6 6 7 7 6 7 7 7 7 7 7 7 6 6 6 5 5 6 6 6 5 5 5 5 5 7 8 10 12 12 13 13 13 13 15 17 15 11 7 6 5 5 5 5 6 6 6 6 7 6 5 5 5 5 6 7 8 8 8 7 7 8 8 9 9 8 8 7 7 7 8 10 12 12 12 12 13 13 12 9 6 5 5 5 5 6 7 6 5 4 4 4 4 4 3 5 5 5 6 5 5 4 4 4 4 5 7 6 4 3 8 13 11 8 7 -5 -16 -17 -14 -9 -0 8 17 22 17 10 9 8 7 7 6 3 3 4 5 7 8 8 9 10 9 9 8 6 7 9 8 6 8 9 10 9 8 6 7 4 4 7 9 9 9 8 8 7 6 8 8 7 6 7 8 5 6 7 7 10 17 20 15 11 10 9 10 8 7 11 18 21 20 16 16 19 17 6 -1 7 11 6 3 6 7 8 9 9 8 6 7 9 9 7 6 6 7 7 6 4 3 5 6 9 11 10 9 8 5 5 6 7 8 7 7 8 7 5 3 4 4 4 4 5 7 9 11 14 12 4 -3 -3 2 3 5 6 6 6 6 7 9 11 11 11 10 8 6 5 7 8 8 8 9 10 10 8 6 6 6 6 7 9 9 9 9 8 6 6 6 6 6 7 7 7 7 7 6 6 6 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 1 2 2 3 4 4 5 5 5 5 5 5 4 4 4 5 11 16 11 6 6 7 11 13 11 8 6 5 5 6 6 7 5 1 2 2 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 7 7 8 9 9 9 9 9 11 9 6 5 5 5 7 7 7 8 9 10 11 11 12 12 12 13 14 15 15 15 14 11 9 7 6 5 4 4 3 3 3 3 4 4 5 5 6 6 7 9 10 10 8 7 6 6 6 7 6 6 6 5 4 4 5 5 5 5 5 5 6 6 8 8 8 7 6 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 6 6 6 6 8 11 15 16 15 15 17 16 13 11 10 12 14 13 10 9 9 9 8 8 9 10 11 12 11 9 8 7 8 8 8 8 7 7 7 6 6 8 9 11 14 13 10 7 6 6 5 5 5 5 5 5 7 10 9 4 3 5 7 7 7 7 6 5 -1 -0 6 10 9 5 1 -2 -4 -3 6 18 22 19 16 12 12 11 10 8 8 10 12 13 13 12 11 8 4 6 6 7 8 6 7 8 6 8 8 10 8 6 7 8 9 8 9 9 10 13 11 7 6 4 4 3 1 -1 1 6 7 5 3 4 5 5 4 3 4 7 8 5 4 11 10 6 7 6 5 4 2 4 6 4 2 2 3 4 6 7 11 15 16 14 13 12 10 7 6 7 8 9 7 5 4 3 3 3 3 4 2 2 5 7 8 7 4 6 9 7 4 4 5 7 8 8 9 11 10 7 7 7 4 4 5 4 4 5 6 7 9 7 6 7 6 6 6 6 7 7 8 9 7 4 5 5 5 6 9 9 4 2 6 6 -3 -6 -1 5 1 0 4 5 6 8 6 3 1 0 1 4 6 8 8 8 8 9 9 8 6 6 7 9 11 10 10 7 4 3 3 3 3 3 3 3 3 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 5 5 8 14 16 12 11 14 18 21 23 22 18 12 7 10 14 17 15 10 9 8 8 9 12 13 10 6 6 9 12 13 11 9 8 8 6 3 2 3 3 3 3 3 3 3 3 4 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 6 8 9 9 9 8 9 10 8 6 4 4 4 3 2 2 2 3 4 4 4 5 5 4 4 4 4 4 5 6 6 7 8 9 10 12 13 15 16 17 17 17 16 16 16 16 16 18 21 23 22 18 12 9 5 4 4 4 6 7 8 10 10 10 10 10 9 8 7 7 8 8 7 8 8 7 7 7 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 9 11 12 13 12 12 14 14 11 9 9 10 13 12 11 9 9 9 8 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 7 7 7 8 9 12 14 12 9 7 6 6 6 6 5 5 5 5 7 9 8 5 5 6 7 10 10 7 3 -0 -1 3 7 10 12 11 8 4 2 3 10 15 14 12 11 11 11 10 9 7 6 7 9 11 12 11 10 6 3 3 4 5 5 4 8 9 2 3 9 11 6 4 6 7 6 5 8 11 10 10 10 7 6 4 2 3 2 2 4 6 5 3 2 3 3 3 4 4 6 8 8 4 6 14 10 7 11 8 4 1 -1 -0 1 -1 0 3 6 6 4 3 5 8 12 13 11 9 7 7 6 6 8 8 7 5 5 4 4 5 6 4 2 3 5 7 6 5 4 6 8 6 5 4 6 8 7 8 10 12 10 7 6 6 4 4 4 4 5 6 6 8 9 8 6 6 6 6 6 6 7 6 6 7 8 9 8 5 5 7 10 8 1 -0 6 9 1 -3 4 9 4 2 6 7 6 5 5 5 5 4 3 5 7 8 8 8 10 13 16 16 14 10 9 15 13 7 6 8 5 3 3 3 3 3 3 3 3 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 5 10 15 17 13 9 8 8 11 17 21 24 24 20 14 16 19 17 12 8 7 6 6 7 10 12 8 5 4 6 9 10 10 9 8 7 5 2 2 3 3 3 3 3 3 3 3 4 4 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 7 8 8 8 9 11 11 8 6 5 4 3 3 3 3 4 4 5 4 4 4 4 3 3 4 3 4 4 5 5 6 6 7 9 10 12 13 15 16 16 17 16 15 15 15 16 20 23 24 22 15 8 3 2 2 3 5 6 7 8 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan
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nan 12 12 12 11 9 9 11 14 15 12 11 12 12 10 9 9 10 12 13 14 14 14 11 11 14 19 19 17 15 13 8 3 5 6 4 9 12 13 13 15 15 12 7 6 9 12 12 12 12 13 12 12 13 11 11 11 11 12 12 11 10 10 11 11 11 11 10 11 12 14 13 10 10 11 14 16 17 16 14 13 12 11 11 11 15 18 19 18 14 13 12 11 11 10 11 13 16 18 18 16 13 9 7 7 8 11 15 17 17 13 9 7 7 9 12 12 13 14 15 15 16 15 13 11 9 9 10 11 12 12 12 12 12 12 10 10 10 11 11 11 12 13 13 13 11 10 12 16 20 21 18 13 13 16 16 15 15 14 14 13 13 13 13 13 13 13 14 14 15 16 16 16 16 17 17 17 17 16 15 15 13 12 11 11 11 12 15 17 16 14 13 13 12 12 13 14 15 16 15 14 13 13 14 16 18 19 20 22 23 21 20 19 18 17 15 15 14 14 14 14 14 14 14 14 14 15 14 14 14 14 13 13 13 13 13 14 14 15 17 18 19 19 19 18 16 15 15 15 15 15 15 15 16 16 15 15 15 15 15 16 15 15 15 15 15 14 12 12 14 15 14 14 14 13 12 12 11 12 12 11 10 9 9 9 10 10 10 11 11 12 12 12 13 14 13 13 13 13 12 12 12 11 11 10 10 10 9 10 11 11 12 13 14 16 17 15 12 10 8 8 8 8 8 8 9 10 10 10 11 11 11 10 10 9 9 10 10 10 12 15 16 15 13 13 11 11 12 12 11 10 8 6 4 5 7 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 14 17 19 18 15 14 14 14 14 13 10 8 8 9 11 13 13 13 13 13 13 12 12 13 14 17 20 22 20 17 15 14 15 16 16 15 14 13 13 13 12 10 7 7 12 19 26 30 27 22 17 15 14 13 13 12 11 11 10 10 10 10 11 11 11 9 8 8 9 9 10 11 11 10 10 9 9 9 11 13 14 13 12 13 15 17 18 16 14 13 13 15 15 15 13 11 10 10 11 11 11 11 11 12 13 14 16 16 15 14 13 12 13 11 9 10 10 12 nan
nan nan nan nan nan nan nan 12 13 11 11 11 12 11 11 10 10 12 12 13 13 14 13 11 11 14 19 21 16 9 5 2 1 3 6 9 11 12 12 13 15 15 12 9 8 9 11 11 12 12 11 11 11 11 11 10 11 12 12 11 10 12 12 12 12 12 11 11 12 13 11 7 7 11 15 18 19 17 13 11 12 12 13 13 13 15 17 17 15 13 12 10 10 10 10 13 16 18 17 15 12 9 8 7 8 10 14 16 16 15 13 10 9 10 11 13 13 13 13 14 15 14 13 12 10 8 8 10 13 14 15 14 13 11 10 9 9 10 11 11 12 13 13 13 13 12 13 15 17 17 16 14 13 13 14 17 17 15 14 13 12 12 13 13 12 13 13 14 14 15 16 16 16 17 17 17 16 15 15 15 16 15 13 12 11 10 12 14 15 15 14 13 12 12 12 13 16 18 19 19 17 15 15 15 17 18 21 21 21 18 15 14 13 13 14 15 15 14 14 13 14 13 13 14 14 14 14 15 14 14 14 14 14 14 13 13 14 15 16 18 20 20 18 17 16 16 16 16 16 16 16 15 16 17 16 17 18 18 17 16 15 15 16 14 14 12 12 12 13 14 14 14 12 12 13 12 12 13 13 12 11 10 9 9 10 11 11 11 11 11 12 12 13 13 12 13 13 14 14 14 13 12 10 10 11 11 10 10 11 12 13 14 15 15 14 12 8 7 6 6 7 8 8 8 8 8 10 10 10 11 10 11 10 9 9 9 9 10 10 12 15 15 15 14 12 11 12 12 12 11 9 5 4 4 6 8 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 15 17 17 15 14 15 16 15 13 10 7 5 7 9 12 13 13 13 13 13 12 12 12 12 13 14 18 23 24 23 19 16 16 16 15 14 14 14 13 12 12 12 13 16 20 26 28 25 23 20 17 14 14 14 12 11 10 10 10 9 9 10 11 12 12 10 8 8 9 10 10 10 10 9 9 9 10 11 12 12 12 11 12 16 19 19 16 11 8 10 12 14 14 13 11 11 12 11 10 12 13 13 13 13 13 14 15 15 15 14 13 13 12 12 10 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 13 14 14 14 15 14 14 12 12 13 19 24 17 7 2 3 1 2 6 9 11 11 12 15 17 15 10 6 5 6 8 9 10 10 9 10 11 11 11 11 13 15 15 12 13 14 14 14 12 11 11 11 11 10 7 7 10 15 18 20 20 17 13 10 11 11 12 13 13 13 14 14 13 11 10 10 9 10 13 16 18 16 14 11 8 6 6 8 11 14 16 16 14 13 12 11 11 12 12 13 13 13 13 14 13 12 11 10 10 9 10 11 13 16 17 14 12 10 9 10 10 10 11 12 12 13 13 12 12 14 15 15 15 14 12 11 12 13 14 16 16 15 13 13 12 12 12 12 13 13 13 14 14 14 16 17 17 17 16 15 14 14 14 15 16 16 15 14 12 12 12 14 16 15 14 13 13 12 11 14 19 23 23 22 20 19 19 20 19 18 18 17 16 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 14 13 13 14 15 17 19 19 17 16 15 16 17 18 17 17 17 17 18 18 18 18 17 18 18 17 16 15 15 15 13 12 13 13 14 14 13 13 13 12 12 12 13 13 13 13 12 12 11 11 11 12 12 12 12 12 13 13 13 12 11 10 11 12 13 13 13 13 12 10 10 10 9 10 11 12 13 15 16 17 15 11 7 5 6 7 8 8 9 9 9 8 9 9 10 10 11 11 10 10 10 9 8 8 9 10 12 14 15 14 13 13 12 12 11 11 9 7 4 3 5 7 9 10 11 11 12 12 11 11 12 12 12 12 12 11 12 12 12 12 13 15 16 16 14 13 17 16 12 9 6 2 2 6 11 12 13 13 12 12 12 12 12 11 11 12 12 16 22 26 26 21 17 15 15 15 14 13 13 13 13 13 15 15 18 20 23 23 21 20 18 18 14 12 12 11 11 10 10 11 9 9 9 10 12 11 10 8 8 10 11 11 10 10 9 10 11 11 12 12 12 12 12 13 16 19 18 13 9 9 11 13 13 12 12 13 12 11 10 9 11 14 14 14 15 14 14 14 14 14 14 14 13 13 12 11 11 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 12 12 11 11 22 23 13 5 4 7 8 6 6 9 10 11 12 15 17 14 8 3 5 7 8 8 9 9 8 10 12 12 12 14 16 18 17 14 13 13 14 13 12 11 11 11 10 9 9 12 16 18 19 19 19 16 12 11 12 13 13 12 12 12 12 12 11 10 10 10 10 12 15 18 17 14 10 7 5 5 7 9 14 17 16 14 12 11 11 11 12 11 12 13 13 12 13 13 13 13 12 10 9 10 12 13 14 15 16 13 12 11 10 10 10 11 12 13 12 13 13 14 14 15 16 14 13 12 12 12 14 15 16 16 15 13 12 12 12 13 13 13 14 14 14 13 14 15 16 17 17 17 15 14 14 14 15 15 16 18 18 17 16 14 14 15 15 15 14 14 14 13 12 12 16 23 27 27 25 22 21 20 19 16 13 13 13 14 14 14 14 14 14 14 14 14 14 15 14 14 14 15 15 15 15 15 15 15 15 16 15 14 14 15 15 17 18 19 18 16 14 14 16 17 18 19 19 17 17 17 17 16 14 12 12 14 15 16 17 16 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 14 13 13 15 14 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 13 14 15 15 12 9 6 6 7 8 8 9 9 9 9 9 9 9 10 10 11 12 11 10 10 11 10 8 9 8 9 11 13 14 13 12 12 12 12 11 10 9 6 4 4 5 8 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 16 16 15 11 6 3 4 5 7 10 12 12 13 12 11 12 13 13 13 11 11 11 12 17 22 28 26 19 15 14 14 15 14 14 13 14 13 13 14 14 15 17 20 21 21 18 16 15 14 13 12 11 10 11 12 12 10 8 7 9 11 11 9 8 10 13 13 12 10 9 9 10 10 11 12 13 13 12 13 14 16 18 16 11 8 10 12 13 13 12 12 12 11 9 10 11 12 13 14 15 15 15 15 14 15 14 13 13 12 12 12 12 12 14 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 5 5 9 14 9 7 11 12 12 12 12 11 8 6 7 8 8 9 8 9 10 11 13 13 13 15 16 18 18 15 13 12 13 13 12 12 12 12 12 11 12 14 16 17 17 17 17 16 13 11 11 11 13 13 12 12 12 10 10 9 9 10 11 13 16 17 17 14 11 8 5 5 7 10 12 15 16 15 13 11 11 10 11 11 11 12 13 13 12 12 13 12 12 11 11 11 12 12 14 14 15 14 13 12 12 11 11 11 12 13 14 14 14 14 14 14 15 15 13 12 12 13 13 15 15 15 14 13 12 11 11 13 14 14 15 14 14 13 13 14 15 16 17 16 16 15 14 14 15 15 15 16 19 20 21 19 16 15 15 15 15 15 16 17 17 15 13 12 16 22 26 28 25 19 16 15 14 13 13 13 14 14 15 15 15 14 14 14 14 15 15 15 15 16 16 16 17 16 16 15 15 16 16 16 16 16 17 18 19 19 19 18 17 16 16 16 16 17 18 18 17 16 15 15 14 13 12 12 13 14 16 16 16 15 15 15 16 16 15 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 14 13 13 13 13 12 13 13 14 13 11 10 9 9 10 11 12 11 11 11 12 14 14 13 12 9 6 5 6 7 9 8 9 9 9 9 9 10 9 10 11 11 11 12 11 10 10 11 11 11 10 9 10 11 12 13 12 12 12 12 12 11 9 9 8 6 6 7 9 10 10 11 11 11 12 12 12 12 12 12 12 13 14 13 12 12 12 13 15 17 17 17 16 13 9 5 6 10 12 13 12 12 11 12 12 11 12 13 13 12 12 11 11 13 17 23 26 23 19 15 14 15 14 13 14 14 13 13 14 13 14 15 18 21 22 19 15 15 14 14 14 12 10 11 12 15 15 14 10 7 8 8 7 8 10 13 14 13 12 9 9 10 9 9 10 11 12 13 14 15 14 15 17 15 11 11 12 12 10 11 13 12 11 10 10 11 12 12 13 14 14 14 14 14 15 15 14 13 12 11 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 12 14 12 8 6 9 10 10 8 7 7 8 10 12 14 15 16 16 16 16 15 13 12 12 12 12 12 12 12 12 12 13 14 14 15 15 15 15 15 14 13 12 10 10 10 11 12 13 12 10 10 10 10 11 14 16 18 18 15 11 8 7 7 8 9 12 14 15 15 13 12 11 10 10 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 15 16 15 13 12 12 12 11 12 12 12 13 13 13 13 13 14 13 13 13 12 12 13 13 13 14 15 14 12 11 11 12 12 14 15 15 15 13 13 13 12 13 16 17 16 15 15 14 14 15 15 15 15 16 18 20 20 18 15 14 15 15 16 17 17 17 18 17 14 11 10 13 18 29 30 20 15 15 14 14 14 14 14 15 16 15 15 15 15 14 15 15 15 16 16 16 18 20 20 19 16 17 17 17 18 18 19 19 19 20 21 20 18 16 15 15 16 17 17 18 18 17 17 16 15 15 15 15 15 14 13 12 12 13 13 14 15 15 14 15 14 14 13 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 12 12 11 12 13 14 13 11 10 10 11 11 12 12 12 13 14 14 14 12 10 8 6 7 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 9 9 8 8 7 7 8 9 10 10 11 11 12 12 13 13 13 13 14 14 13 13 12 11 14 17 18 15 13 12 11 9 7 10 13 13 13 11 11 11 11 12 11 12 13 13 13 13 13 12 13 16 23 26 22 19 16 15 14 13 13 13 13 14 14 14 13 14 16 20 22 21 17 16 15 14 14 14 12 11 11 13 14 15 14 13 12 10 8 5 6 10 13 13 13 10 8 8 10 10 10 10 11 11 11 13 15 15 15 15 15 15 13 10 9 10 11 14 13 10 8 9 10 11 11 12 13 13 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 4 5 10 14 16 16 16 15 15 14 14 13 12 12 11 12 12 12 12 13 14 14 14 14 14 14 14 14 14 14 14 12 8 6 7 10 13 15 13 10 10 11 13 15 17 19 18 15 12 8 8 9 10 11 12 13 15 15 14 12 12 11 10 10 11 12 11 11 12 11 12 12 11 11 11 11 12 12 13 13 15 16 14 13 12 12 12 12 12 12 13 12 12 12 12 12 13 13 14 13 13 13 12 12 13 13 14 13 11 10 11 12 13 14 14 15 14 13 12 12 14 15 15 16 16 16 15 14 15 16 16 15 14 15 16 17 17 15 13 13 14 15 15 16 16 15 16 17 16 14 10 7 10 26 35 27 21 17 15 14 15 16 16 16 16 17 17 16 16 15 15 15 16 16 15 14 15 19 24 21 18 20 19 19 20 21 22 23 23 23 21 19 17 14 14 14 15 16 16 16 16 15 14 14 13 13 13 12 12 12 11 10 10 10 11 13 14 14 14 14 14 13 13 13 14 13 13 14 13 14 14 13 13 13 14 13 13 14 13 13 13 14 14 13 13 13 12 13 14 14 16 16 16 15 14 15 16 17 16 14 11 9 8 8 8 9 10 10 9 9 9 10 10 10 10 11 11 12 11 12 12 12 12 11 12 11 11 11 11 11 12 12 11 11 12 13 13 12 11 10 10 9 8 8 8 8 7 6 6 8 9 10 11 12 13 13 13 14 14 14 14 14 13 11 10 11 14 16 15 11 8 9 10 10 10 12 12 13 12 10 11 11 11 11 11 12 12 13 13 13 13 12 14 19 25 27 24 19 16 14 14 13 12 13 13 13 13 13 12 13 16 20 21 19 17 15 13 13 13 14 14 13 13 14 14 14 14 13 12 11 11 8 9 11 13 12 9 8 8 9 10 10 10 11 12 12 11 11 11 12 13 15 16 15 12 9 9 10 11 13 13 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 7 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 9 8 8 6 5 4 4 4 5 5 5 5 4 2 1 1 1 1 1 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 2 1 2 4 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 6 16 25 26 22 21 26 42 59 49 18 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 2 6 13 22 32 43 59 88 133 149 132 134 111 73 59 59 61 64 60 45 50 59 53 44 42 35 23 24 36 66 97 112 103 74 50 50 66 72 54 30 14 6 2 2 7 11 12 12 11 15 34 67 100 122 135 151 164 166 163 154 144 142 135 123 109 91 66 46 50 74 104 137 161 174 188 191 180 153 135 137 151 159 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 8 6 6 6 7 7 7 7 7 6 7 7 7 6 6 6 6 6 7 7 8 8 8 8 7 6 5 3 2 3 3 4 4 4 4 3 2 1 1 1 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 3 6 7 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 15 36 41 31 14 6 7 13 24 22 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 18 31 44 56 68 81 101 140 161 142 143 114 68 51 50 45 28 30 10 22 45 36 25 17 15 12 19 22 36 63 80 74 50 36 45 62 87 91 74 53 32 13 8 21 36 37 36 39 45 60 81 99 110 122 136 142 147 160 163 149 132 110 100 91 68 49 37 44 73 104 130 145 159 174 185 186 170 153 148 151 156 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 8 7 6 6 6 7 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 2 2 2 2 2 2 3 3 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 5 2 1 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 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 31 25 7 0 0 0 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 22 33 42 57 71 88 104 116 130 134 122 118 98 79 62 59 65 57 56 49 38 57 53 39 24 18 23 30 26 24 33 41 38 32 37 56 76 97 114 114 99 72 37 16 25 45 55 64 77 82 86 96 102 110 125 132 126 133 154 165 151 116 81 65 68 70 72 74 79 90 91 99 112 131 154 174 184 181 168 154 149 154 161 164 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 13 10 8 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 3 2 2 2 2 3 4 4 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 1 1 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 16 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 2 8 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 21 33 43 34 23 36 65 88 106 109 94 79 69 66 65 62 46 38 48 59 64 59 57 68 70 51 29 27 34 38 39 36 31 29 32 46 68 88 103 108 121 127 128 108 70 26 24 53 71 86 103 108 102 96 92 100 114 123 119 127 149 160 146 109 73 53 51 62 77 85 82 74 67 64 68 91 127 159 179 184 175 160 152 156 163 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 17 15 12 10 10 9 7 6 5 6 7 8 9 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 2 2 3 4 4 4 3 4 4 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 1 0 0 0 1 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 16 11 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 24 40 50 44 19 6 11 36 57 66 59 42 29 19 15 17 16 12 10 15 25 32 36 41 55 62 52 30 24 45 50 59 72 65 43 41 79 103 116 128 124 126 132 139 137 107 50 37 70 90 103 114 117 109 97 88 87 94 107 115 126 141 151 140 107 72 53 48 52 58 62 58 51 51 54 58 78 111 141 164 176 180 177 170 169 170 169 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 18 18 16 14 13 12 10 8 6 5 6 7 8 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 4 4 3 3 4 4 3 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 5 15 19 18 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 21 41 54 45 21 4 0 0 5 14 16 12 8 5 2 0 0 1 1 2 6 9 10 10 18 33 45 47 41 38 58 67 84 110 112 97 81 100 126 138 149 143 141 149 156 153 135 94 75 93 112 118 121 120 112 100 86 78 81 95 110 122 134 142 134 104 72 52 49 54 55 54 50 46 50 60 70 87 110 130 149 162 178 193 194 192 188 174 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 12 15 18 19 17 16 15 14 12 9 7 6 5 5 5 5 5 5 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 4 4 3 2 2 4 5 4 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 11 7 3 5 12 25 26 19 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 30 48 48 26 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 18 24 25 24 28 35 40 42 56 70 90 96 108 127 134 134 128 146 148 143 146 152 159 164 166 159 148 129 114 120 130 130 128 128 121 106 89 77 75 86 102 115 126 132 126 102 75 54 41 41 46 51 46 40 43 53 66 83 99 116 136 148 167 192 208 212 206 181 nan nan nan nan nan nan nan nan nan 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 9 15 20 19 17 17 18 16 13 10 8 7 6 6 5 5 4 4 3 3 3 3 4 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 5 4 4 3 3 5 6 6 5 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 16 13 14 15 22 32 29 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 13 18 25 30 21 8 1 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 32 43 48 47 47 52 53 49 58 76 98 106 120 120 122 120 124 129 132 131 133 144 154 160 162 157 146 137 134 135 136 133 130 134 132 117 98 83 75 78 91 105 116 123 119 103 80 60 40 27 28 38 40 37 36 40 51 67 83 102 120 135 155 185 213 225 218 191 171 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 5 11 21 24 21 20 20 20 18 14 12 10 9 8 7 6 5 4 3 3 4 4 3 4 5 5 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 12 16 18 22 31 39 44 34 16 6 4 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 17 13 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 20 36 51 59 59 58 61 68 67 66 75 92 102 104 109 113 116 117 115 114 115 121 133 142 146 149 153 146 135 138 144 139 129 123 132 147 141 114 93 79 72 76 91 104 112 113 105 90 72 50 32 22 24 28 31 33 36 41 50 64 83 98 112 134 170 206 225 223 203 180 nan nan nan nan nan nan nan nan 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 3 8 17 25 24 23 22 20 18 17 15 14 13 12 11 9 7 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 5 4 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 17 22 34 48 58 53 32 16 12 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 13 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 31 49 63 69 72 74 82 82 80 82 93 101 103 106 112 116 113 104 98 100 110 124 134 141 151 162 159 143 146 154 153 135 117 126 160 169 141 113 90 71 65 72 85 95 102 104 101 89 67 44 28 20 18 20 24 30 34 37 42 52 61 71 95 138 182 209 216 205 182 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 1 4 10 16 20 20 20 19 16 16 16 16 16 15 14 13 11 9 6 4 3 2 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 3 2 4 4 3 2 2 2 2 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 20 32 50 58 53 41 24 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 23 42 63 78 86 92 96 94 90 92 99 101 100 104 110 109 97 86 82 85 96 111 121 128 144 166 174 164 163 168 171 158 130 128 162 184 171 138 104 77 59 55 61 74 86 98 108 107 87 61 39 24 17 13 12 17 26 29 24 19 20 27 47 94 145 182 194 185 165 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 2 5 8 11 12 14 15 14 14 14 14 15 15 15 15 15 14 11 8 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 27 41 38 26 19 15 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 35 59 80 95 106 112 110 108 106 106 107 106 108 112 105 86 72 71 75 86 96 104 114 128 157 180 182 181 181 183 176 153 141 163 188 190 162 122 88 63 48 45 53 67 84 102 113 106 85 61 38 24 14 6 8 19 27 16 5 2 4 17 54 97 132 148 144 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 1 4 4 5 6 6 8 9 9 10 10 10 11 12 13 13 13 13 12 11 9 8 7 6 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 2 2 2 2 2 2 2 3 4 4 3 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 13 25 31 19 7 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 29 56 82 102 118 128 131 133 131 128 124 120 120 122 115 90 73 73 77 85 91 94 102 116 143 172 186 189 190 191 189 175 162 170 185 190 173 138 103 74 52 40 42 51 66 89 108 117 111 93 66 47 32 17 14 21 26 16 5 1 0 6 27 56 77 88 87 77 64 nan nan nan nan nan nan 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 2 3 3 3 3 3 3 3 4 4 4 5 6 7 8 9 10 12 13 13 11 10 8 7 5 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 2 1 1 1 1 2 2 2 3 5 5 4 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 17 27 28 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 24 53 85 110 128 139 145 146 145 146 140 133 130 134 132 111 92 87 88 90 92 94 100 110 129 157 181 194 199 199 197 192 186 184 189 191 178 146 113 86 61 44 40 44 53 74 94 110 120 115 100 87 76 59 47 41 35 22 8 1 0 1 10 26 34 34 33 33 27 nan nan nan nan nan 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 1 2 2 2 2 2 1 0 0 1 1 2 2 3 4 5 6 8 11 13 13 12 10 9 8 6 5 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 0 1 1 1 1 1 1 2 4 5 4 4 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 16 26 32 34 24 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 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 5 22 51 84 114 135 138 142 142 139 136 134 127 122 128 142 138 124 113 109 100 94 98 103 105 114 139 171 195 208 210 204 205 208 204 204 205 187 152 119 93 70 55 47 45 50 62 77 93 106 113 113 112 111 106 90 72 50 32 17 5 1 0 2 6 8 7 5 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 1 2 3 3 4 5 7 10 11 12 12 12 10 8 6 4 3 2 2 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 8 8 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 21 29 36 39 27 8 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 5 22 50 84 116 133 125 125 128 123 115 110 106 100 108 135 153 153 144 134 118 103 101 106 105 104 119 151 180 199 204 200 203 214 219 219 218 197 165 132 103 80 64 53 48 49 54 62 72 83 94 103 108 110 111 105 86 58 34 20 10 2 0 0 1 0 0 0 0 0 nan nan nan nan nan 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 6 8 10 12 14 13 12 9 6 4 3 3 3 3 3 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 8 8 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 26 30 25 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 46 82 121 123 110 109 115 114 105 95 88 86 96 123 145 153 153 148 133 114 105 105 104 100 104 124 154 182 194 192 193 205 215 224 222 203 178 150 120 94 75 61 54 50 48 48 50 57 68 82 93 97 97 95 86 70 49 27 16 6 1 3 5 4 2 0 0 0 nan nan nan nan nan 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 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 11 13 13 12 9 7 6 5 4 4 3 3 2 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 7 7 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 18 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 24 47 82 120 122 102 101 115 119 107 92 83 83 99 124 136 134 135 137 128 115 107 103 104 100 98 106 127 156 178 188 192 198 204 215 218 204 187 169 144 116 95 79 65 53 44 36 30 31 40 58 75 86 92 96 100 102 102 95 60 30 9 7 18 22 12 3 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 17 16 13 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 9 11 12 12 10 8 6 6 5 5 4 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 29 56 85 119 125 108 107 123 127 112 93 81 85 107 131 131 120 116 114 108 102 102 101 102 103 102 104 113 132 156 180 197 202 202 208 213 205 194 189 177 154 126 102 80 58 43 30 17 14 20 36 54 69 82 93 107 119 132 138 120 86 55 36 34 42 34 14 5 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 22 22 20 16 12 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 12 12 10 7 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 1 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 33 59 84 111 127 124 122 129 127 113 96 82 86 112 134 129 113 104 95 87 84 88 94 97 100 103 106 110 122 146 178 204 213 211 211 210 202 197 203 206 192 162 128 97 69 47 27 13 12 18 30 45 58 68 76 89 104 121 138 145 131 110 100 96 87 69 44 31 20 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
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