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