Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 6 8 9 9 8 7 6 6 5 5 3 2 2 2 2 3 4 4 3 1 2 3 3 3 3 3 3 2 1 1 2 2 3 3 3 3 3 3 4 3 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 6 6 6 6 7 7 6 7 7 7 7 6 6 7 9 10 13 14 14 13 11 9 8 8 7 6 5 6 5 3 4 5 6 5 5 6 6 6 5 5 4 4 6 13 21 17 7 3 7 3 1 0 7 7 3 1 1 -0 8 12 6 3 1 1 1 3 9 4 -1 -3 -2 -0 3 4 4 5 6 8 5 -0 -2 5 14 8 -4 -3 3 5 6 4 1 4 6 5 3 5 7 7 8 12 9 -0 -3 2 4 2 0 -0 2 5 12 26 38 39 32 18 9 6 5 5 4 4 4 5 6 6 6 5 3 3 4 4 4 4 4 4 5 6 7 7 8 9 8 8 10 12 15 17 15 11 7 7 7 7 6 5 5 5 4 6 4 3 4 5 5 4 4 3 4 5 5 4 4 6 6 5 4 4 4 5 5 4 5 9 8 2 5 6 5 4 4 5 4 4 3 3 3 3 3 3 3 4 3 4 3 2 2 3 3 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 5 7 8 8 8 7 6 5 6 6 6 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 5 5 5 6 10 21 32 24 13 7 5 3 -2 -5 -10 -9 -16 -10 -3 -8 -7 -0 2 0 -4 -7 -11 -16 -19 -14 -10 -13 -12 -6 2 6 6 6 6 8 12 18 21 20 11 5 7 8 7 6 6 6 7 10 13 12 12 13 11 9 7 7 6 6 6 6 6 5 4 4 5 5 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 5 7 8 8 8 8 7 6 6 5 3 2 2 2 3 4 4 3 2 2 2 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 4 4 5 4 4 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 5 6 6 6 6 7 7 7 7 7 7 7 6 5 6 7 9 11 13 14 13 11 10 9 8 8 6 5 5 5 3 4 5 6 6 6 6 6 6 5 5 4 4 11 22 25 14 4 1 6 10 6 8 14 10 8 7 7 -1 1 3 3 4 3 -0 -3 -3 2 6 4 -0 0 3 4 0 -1 1 6 10 9 4 -4 -2 14 15 4 -2 2 11 11 4 2 6 8 7 5 3 1 3 9 13 10 2 -1 1 4 6 7 7 8 13 24 37 41 34 22 11 7 6 5 5 4 4 5 6 7 6 5 4 4 4 4 3 4 4 4 4 5 5 6 7 8 8 8 8 9 11 14 16 15 11 8 8 8 7 6 4 4 3 3 3 3 3 3 5 4 4 3 4 5 5 3 3 5 5 5 4 5 4 4 5 5 5 5 6 2 -1 2 2 1 1 3 4 4 4 4 4 4 3 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 4 4 4 4 6 7 7 6 5 5 5 6 6 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 6 12 22 31 29 22 15 8 8 9 5 0 0 -2 -0 -1 1 3 6 8 7 3 -1 -2 -1 -3 -2 -6 -9 -8 -2 4 6 5 5 5 6 7 9 13 10 5 6 7 6 5 5 5 4 5 5 5 7 7 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 4 5 6 7 8 8 7 7 6 6 5 4 3 3 3 3 4 3 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 2 3 3 2 3 3 4 3 3 3 2 2 2 2 2 2 3 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 3 4 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 7 6 7 6 6 7 7 6 5 5 6 7 9 10 12 12 11 10 9 8 7 6 5 5 5 3 4 5 6 6 6 7 6 6 5 4 4 5 14 25 25 15 3 -1 7 15 7 7 12 9 9 9 7 -2 -3 -3 -1 6 13 7 2 2 4 6 4 3 4 7 5 -0 -0 1 5 9 10 7 2 4 10 11 9 4 5 13 9 1 2 7 9 8 6 3 0 3 8 8 7 5 1 1 5 8 9 10 13 23 37 41 33 21 12 7 6 6 5 4 4 4 5 6 7 6 5 4 4 4 4 3 3 4 4 4 5 5 5 7 8 8 8 8 9 10 12 14 13 11 8 8 7 6 5 4 3 3 3 2 -2 -6 -0 5 4 4 4 5 6 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 -2 -10 -5 -3 -6 -7 -1 2 2 3 3 3 3 3 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 4 5 6 6 5 4 5 6 6 6 5 5 5 5 5 5 4 4 3 4 4 4 4 5 5 5 4 4 5 5 5 4 4 8 18 25 28 22 9 6 5 2 2 6 6 6 5 5 3 5 7 9 8 5 4 8 7 7 5 1 -0 1 4 6 5 5 5 5 5 5 6 7 6 6 6 6 6 5 5 5 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 3 4 6 6 7 7 6 6 6 6 5 4 4 4 4 4 4 3 2 2 3 3 2 2 3 3 3 3 4 3 3 3 3 4 3 3 2 2 3 3 3 3 3 2 2 2 2 2 3 3 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 2 3 2 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 5 5 4 4 4 5 4 4 5 5 5 6 6 6 6 6 6 6 7 7 6 4 3 4 6 6 8 9 10 11 10 9 9 7 6 5 5 4 3 3 5 6 6 6 6 6 6 5 4 4 6 14 19 17 15 8 2 5 10 5 -2 1 5 3 6 2 -5 -5 -2 3 11 16 12 10 12 8 2 2 3 4 5 4 4 6 5 6 8 9 6 7 14 14 10 7 6 10 13 5 -1 4 9 12 8 3 2 4 8 8 5 4 3 2 5 7 8 8 12 21 35 43 35 20 11 7 6 6 5 5 5 4 5 5 6 7 6 4 4 4 4 4 3 3 4 4 4 4 5 5 6 7 7 7 8 9 9 11 12 13 11 9 7 6 5 4 3 2 2 2 1 -6 -7 2 5 4 4 5 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 0 -11 -10 -4 -5 -7 -4 1 2 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 2 3 5 6 6 5 5 5 6 6 6 6 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 3 5 10 20 23 13 7 4 1 0 4 8 9 8 7 6 5 6 7 7 6 7 6 5 6 8 6 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 5 5 5 5 5 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 3 3 4 4 5 6 7 6 6 6 5 4 4 4 4 4 5 5 4 3 3 3 3 2 2 1 1 2 2 3 3 3 3 3 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 2 3 2 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 5 4 4 4 5 6 8 8 9 10 9 9 7 6 5 5 4 3 3 5 6 6 6 6 7 6 5 4 4 5 10 12 9 10 13 10 7 4 2 6 6 1 -2 8 9 2 -1 0 7 11 6 5 6 8 6 1 2 2 3 5 5 6 11 10 9 10 9 6 5 10 14 14 8 6 8 7 6 5 7 8 9 5 1 3 11 11 7 4 2 3 5 7 8 7 9 15 29 39 34 20 10 6 6 6 6 5 5 4 5 5 6 6 7 5 4 3 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 8 8 9 10 12 12 12 10 7 5 4 3 3 3 3 2 1 -1 2 3 3 3 4 4 5 5 4 5 5 4 4 5 5 4 4 5 5 5 5 5 5 3 -2 -9 -5 6 6 0 0 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 1 3 6 7 6 5 5 6 6 6 6 6 5 5 5 4 3 3 3 3 3 3 3 4 4 3 3 3 2 1 0 -1 -2 -2 -3 -4 -0 6 13 13 8 4 3 3 7 10 11 10 8 9 9 9 10 9 6 9 9 8 7 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 5 6 6 6 7 7 7 7 7 7 6 5 5 5 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 4 4 4 4 5 6 6 6 5 5 4 3 3 3 4 4 4 4 3 3 2 2 2 1 1 1 1 1 2 2 3 3 4 4 4 3 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 3 3 3 3 4 3 3 2 3 3 3 2 2 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 4 3 4 5 6 7 7 8 9 9 8 7 6 5 5 4 3 3 4 6 6 7 7 7 7 6 5 4 4 4 6 8 9 9 10 10 2 -2 10 10 -2 -2 7 11 9 5 1 10 11 3 3 3 2 2 7 8 5 6 10 5 4 11 12 12 12 7 2 -0 1 8 10 8 6 3 1 5 9 7 6 9 7 4 10 14 9 6 5 4 5 7 10 9 6 9 18 27 28 17 8 6 6 6 6 5 5 5 4 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 7 8 9 10 11 12 12 11 9 6 4 4 3 3 3 3 2 3 3 2 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 4 5 4 -3 -5 4 9 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 -0 2 6 9 9 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 1 -2 -7 -11 -13 -10 -12 -13 -7 -2 4 8 8 6 5 6 9 11 9 7 7 13 13 10 16 15 10 10 9 7 6 5 4 5 5 6 6 5 3 3 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 7 8 8 8 8 6 5 4 4 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 2 2 3 3 4 4 3 3 4 5 6 6 6 5 4 2 2 2 3 3 3 3 3 2 2 2 1 1 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 6 6 6 6 7 5 3 3 4 6 7 7 7 7 8 8 6 5 5 5 5 3 3 4 5 6 7 8 8 7 6 6 5 4 3 5 9 11 5 4 9 5 -2 1 0 2 6 5 5 6 4 3 12 11 3 6 8 3 3 11 11 6 8 10 2 5 10 12 12 9 1 -5 -2 1 5 3 5 3 2 4 1 2 3 5 8 2 5 11 11 7 6 7 5 5 8 10 6 4 10 19 24 18 8 5 6 6 6 5 5 5 4 4 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 8 8 10 11 11 12 11 10 8 6 5 5 4 3 4 3 2 2 2 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 5 5 4 -2 -7 -2 3 3 2 3 3 3 3 2 2 2 3 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 2 3 3 3 2 2 1 1 1 1 1 4 9 11 10 7 6 5 5 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 4 4 4 3 2 2 -3 -8 -12 -13 -11 -9 -10 -7 -0 3 6 7 8 7 7 9 9 6 5 1 3 9 11 16 16 11 8 5 4 4 4 4 4 5 6 6 6 2 -2 -1 3 5 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 6 4 4 4 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 1 2 3 3 3 3 2 3 4 5 6 6 6 5 3 1 1 2 2 2 3 2 2 3 3 3 3 3 3 3 2 2 1 1 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 2 2 2 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 6 6 6 6 4 3 4 5 7 7 7 7 7 7 6 5 4 5 5 4 3 3 5 6 8 8 8 8 7 7 6 5 4 6 9 10 7 4 6 7 6 6 4 5 6 4 0 3 4 6 11 6 5 10 11 8 6 8 5 4 7 8 2 6 12 12 9 3 -4 -5 1 8 9 1 2 -2 1 6 7 4 -2 2 6 -1 1 4 3 3 7 11 8 4 6 5 2 5 14 23 24 14 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 8 9 10 11 11 11 10 9 8 7 6 6 5 5 5 3 2 4 6 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 6 3 -3 -5 -0 3 3 3 3 3 3 2 3 3 2 2 2 1 2 2 1 1 1 1 1 1 1 1 0 1 2 3 4 4 3 3 2 1 1 2 5 8 12 14 10 7 6 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 4 3 3 4 4 3 2 2 2 -0 -1 -3 -2 1 1 -0 3 5 5 5 7 7 6 7 7 7 9 4 -6 -3 5 9 10 7 6 6 4 3 4 4 4 4 6 8 10 6 -4 -8 -5 3 6 6 5 5 5 4 5 4 5 5 6 5 5 5 6 5 5 6 6 6 6 6 7 7 8 8 8 7 5 4 4 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 2 2 2 3 4 3 3 2 2 3 5 6 6 6 5 3 2 2 3 2 2 2 3 4 4 5 4 4 4 3 2 2 2 2 2 1 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 2 2 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 3 3 4 6 8 8 8 7 6 5 4 4 4 5 4 3 2 3 6 8 8 8 8 7 7 6 5 4 5 6 7 9 8 5 7 9 11 10 7 8 7 1 2 6 11 11 2 5 6 6 11 8 6 2 2 5 6 5 6 9 9 4 -4 -5 1 5 10 12 8 1 -2 1 3 5 8 4 6 6 4 1 2 -0 4 9 10 8 6 6 5 6 11 19 27 22 11 6 5 5 5 4 4 4 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 9 10 11 10 9 8 9 8 7 7 7 6 6 4 5 12 14 11 8 6 5 5 5 5 5 4 4 5 6 6 6 6 6 5 5 5 6 6 5 5 6 5 -1 -1 3 3 3 3 3 3 3 3 2 2 2 1 1 2 2 2 1 2 2 2 1 1 1 1 2 4 5 6 6 5 5 3 3 5 7 10 12 14 13 9 6 4 5 5 4 5 5 5 5 6 6 6 5 5 5 4 4 4 3 3 4 5 5 2 -2 3 6 5 4 3 4 3 3 4 4 5 4 5 7 9 8 7 9 16 15 2 -4 -0 5 6 6 5 5 5 4 4 4 4 4 5 9 16 16 5 -4 -8 -4 4 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 6 6 5 5 6 6 6 6 7 8 8 8 6 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 3 2 1 2 3 4 4 3 2 2 3 4 5 5 5 5 5 4 5 5 3 2 3 3 3 5 5 5 5 5 4 3 3 3 4 3 2 2 3 3 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 5 3 3 5 7 8 8 7 6 5 4 4 4 4 4 3 2 2 6 8 8 7 7 6 6 5 5 4 4 4 5 7 7 5 5 5 5 5 8 12 11 10 9 7 8 7 4 5 3 6 14 13 8 5 4 5 6 8 7 3 -0 -1 -4 -1 4 5 7 10 11 2 3 3 4 6 2 3 7 4 6 4 5 6 12 12 9 6 4 4 6 8 12 19 23 15 7 5 5 5 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 8 8 9 10 10 10 9 8 9 9 9 8 8 7 6 6 8 14 17 17 16 14 12 11 9 8 7 6 6 6 6 7 7 6 6 5 5 6 6 6 6 6 7 6 3 2 2 3 3 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 5 6 7 8 9 9 8 8 7 7 10 13 14 14 14 12 8 4 3 4 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 4 9 12 4 3 6 7 6 5 4 3 3 4 3 5 6 6 10 15 13 10 10 15 20 14 3 2 5 5 6 5 6 6 5 5 5 4 4 5 7 16 22 15 9 4 -2 2 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 5 5 5 6 6 6 6 7 8 8 7 6 5 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 2 2 2 2 1 3 4 3 3 2 2 4 4 3 4 4 4 5 5 6 6 5 3 3 2 3 4 5 5 5 5 5 5 5 4 4 4 3 2 2 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 3 3 4 4 5 5 4 4 5 6 5 5 5 4 4 5 5 5 5 6 7 7 6 4 3 4 6 8 8 7 6 5 4 3 3 3 4 3 2 3 5 7 7 6 6 6 5 4 4 4 3 3 4 6 8 8 7 5 3 2 11 14 13 10 6 3 2 5 12 10 6 9 12 15 11 8 5 4 6 9 6 -0 -5 -3 3 5 3 2 4 6 7 3 4 2 6 10 2 2 2 2 6 6 8 10 15 14 9 6 3 2 4 5 8 15 17 9 5 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 12 17 19 20 20 20 18 15 15 15 13 10 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 4 2 2 2 2 2 3 4 5 5 4 4 4 3 3 2 1 2 2 4 5 7 9 9 10 10 11 11 11 10 9 9 11 14 16 16 16 14 12 10 8 4 1 1 2 4 4 4 4 4 4 4 4 4 3 2 2 1 1 2 2 2 2 9 17 13 5 5 6 6 6 6 5 5 6 6 6 7 9 14 19 18 13 10 10 12 12 8 5 5 5 5 6 6 6 5 5 5 5 5 5 6 10 16 13 8 10 8 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 5 5 5 6 6 6 6 6 8 8 8 6 6 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 nan nan nan nan
nan nan nan nan nan nan 2 2 2 2 2 2 3 4 3 3 2 2 4 4 3 3 4 4 3 4 6 7 5 4 3 3 3 3 4 5 6 6 6 5 5 5 5 5 4 3 3 3 3 3 2 3 3 3 3 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 3 4 5 5 4 4 5 6 6 5 5 4 4 4 5 5 6 6 7 7 7 6 4 3 4 7 8 7 6 4 3 2 2 3 3 3 3 3 4 7 7 5 5 6 5 4 3 3 3 2 6 10 14 12 10 5 3 4 10 11 8 1 -2 -1 5 10 12 9 6 5 4 10 11 9 6 3 5 7 5 1 -2 -0 6 6 2 0 1 2 4 2 0 1 6 6 4 4 7 10 7 1 4 11 12 11 9 6 4 6 9 8 10 16 14 7 4 4 4 4 4 3 3 3 4 4 4 5 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 6 7 8 9 9 9 9 9 8 9 9 9 9 8 7 7 6 6 6 9 11 14 17 19 20 20 21 20 18 17 14 10 8 7 7 8 9 11 14 15 15 13 12 12 10 3 2 2 2 3 3 4 5 6 8 9 9 8 7 5 3 2 2 4 6 9 13 15 14 12 12 12 13 14 11 4 2 10 17 19 17 13 10 9 9 9 7 4 1 -0 0 2 2 3 3 3 2 2 2 1 -0 -2 -4 -6 -4 -3 -3 -0 5 12 11 6 4 4 5 5 5 5 6 8 7 7 9 9 9 12 14 9 7 6 6 6 6 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 9 8 6 8 8 7 8 7 6 5 5 6 6 5 5 6 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 7 8 7 7 7 7 8 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 1 2 2 2 3 5 5 3 2 1 2 3 3 3 3 4 4 2 4 5 6 5 4 4 3 3 3 4 5 5 5 6 6 5 5 5 5 4 4 4 4 3 3 2 2 2 3 3 2 1 1 1 1 2 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 5 4 4 4 4 5 5 4 4 5 6 6 5 4 4 5 5 5 6 6 6 7 8 7 5 3 3 5 7 7 6 5 3 2 2 2 3 4 3 3 5 7 7 5 4 6 5 4 3 3 2 2 8 15 14 10 9 3 2 5 4 -3 3 9 11 4 6 8 6 4 6 5 1 6 9 8 7 5 6 7 6 6 5 2 4 3 5 3 0 2 1 1 -0 5 6 3 2 2 8 15 10 -2 -0 9 11 8 8 6 6 8 11 15 19 19 11 6 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 3 4 4 4 5 5 5 4 4 4 5 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 5 7 8 10 12 14 14 13 14 15 16 17 16 14 14 16 19 19 19 18 19 19 19 16 8 2 2 2 2 3 3 4 7 9 10 12 13 12 11 8 6 4 3 5 9 14 17 17 15 12 11 12 14 16 15 4 -6 -2 12 17 13 9 7 7 9 10 11 9 6 3 -0 -2 -1 -0 1 2 2 0 -2 -2 -3 -5 -8 -12 -13 -11 -9 -6 -2 4 7 5 5 4 4 5 7 7 5 6 5 4 6 6 4 4 6 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 6 7 10 8 6 8 9 7 6 6 6 6 5 5 6 5 4 4 5 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 7 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 nan nan 4 4 2 2 2 3 4 5 5 3 2 2 3 3 3 3 3 4 3 2 4 5 5 5 5 4 4 3 4 4 5 4 5 5 6 5 6 6 5 6 5 5 4 3 3 3 2 2 3 2 2 1 1 0 1 2 2 3 4 4 4 4 3 4 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 2 3 3 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 5 6 5 5 4 5 5 5 6 6 6 8 8 8 7 5 3 4 6 7 6 5 4 2 2 2 3 3 4 4 6 7 8 5 4 6 6 5 4 3 1 2 8 12 9 8 6 1 3 5 3 -5 8 18 15 6 -1 -1 6 7 8 8 4 4 7 8 6 8 12 12 8 6 7 5 2 3 11 8 3 5 2 1 4 7 5 4 2 2 6 11 9 3 5 7 7 8 8 7 7 7 8 16 21 17 8 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 5 5 5 5 6 6 7 8 8 8 8 9 9 9 9 10 10 9 8 6 6 6 6 5 5 5 6 6 6 5 6 8 11 15 18 17 18 18 16 14 12 11 13 15 16 13 4 2 3 3 3 2 3 5 7 10 12 15 16 16 14 9 7 7 5 3 8 14 16 14 11 9 10 12 15 19 20 14 3 -3 4 10 8 6 6 7 8 10 11 12 11 9 6 1 -2 -3 -3 -1 0 0 -3 -6 -6 -6 -5 -8 -10 -11 -10 -6 -2 1 4 5 6 6 7 9 13 16 10 5 5 2 1 3 4 4 3 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 6 6 5 5 6 8 10 8 8 9 7 7 7 7 7 6 4 4 5 5 4 4 4 5 5 6 6 5 5 6 7 8 8 7 7 7 7 7 7 8 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 4 3 3 4 4 5 4 3 3 3 4 3 2 2 3 3 2 3 4 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 6 5 4 3 3 3 3 2 2 2 2 1 1 1 1 2 3 4 4 4 3 3 4 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 4 4 5 6 6 6 7 9 10 10 9 7 3 3 5 6 6 6 4 3 2 2 2 3 4 5 6 7 8 6 5 6 7 7 6 4 2 4 7 7 4 9 7 5 5 3 -2 -4 1 13 6 8 -2 -4 6 8 6 9 8 5 6 7 8 12 18 18 10 5 6 8 2 3 11 9 6 6 2 3 7 9 4 3 5 5 5 7 5 5 7 8 6 6 7 7 7 7 9 16 18 11 7 6 5 5 5 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 10 10 10 9 8 7 7 6 6 5 5 4 4 4 3 3 4 5 7 8 10 10 8 5 6 6 6 6 7 8 6 3 3 3 3 2 2 3 5 7 11 13 15 17 18 17 12 6 7 7 -0 -3 3 9 9 6 7 9 11 14 20 25 22 15 12 6 5 6 6 6 6 7 7 8 10 10 10 9 7 3 -2 -6 -7 -5 -5 -8 -9 -5 -2 -0 0 0 0 -0 2 4 3 2 4 6 7 7 9 14 21 18 11 8 5 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 6 6 5 5 6 8 8 8 7 7 7 7 8 9 10 4 1 4 5 4 4 4 4 5 5 6 6 5 6 7 9 10 8 8 7 7 7 7 8 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 5 5 5 4 3 3 3 4 4 4 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 6 6 5 4 4 3 3 3 3 2 3 2 1 1 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 5 5 5 6 7 6 5 5 5 6 6 7 8 11 13 14 12 8 4 3 4 6 7 6 5 4 2 2 2 3 4 5 6 7 8 8 7 7 7 7 7 5 3 4 6 6 5 9 9 11 6 5 1 3 -1 6 0 13 7 3 2 4 2 8 9 4 3 8 11 14 17 14 9 6 8 9 5 4 6 6 5 3 2 7 10 8 3 1 3 6 4 6 3 5 6 6 6 6 6 6 7 9 13 18 15 8 7 6 5 5 5 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 7 8 9 9 10 10 10 10 9 9 8 6 6 5 5 5 4 4 3 3 3 3 3 4 4 4 3 4 4 5 5 5 4 4 3 3 3 3 3 2 2 3 5 8 10 12 13 15 17 20 19 12 11 13 6 -8 -13 -6 2 3 5 7 8 10 15 24 27 18 12 9 5 6 6 5 4 4 2 1 2 3 3 2 3 3 1 -6 -11 -11 -8 -6 -4 -1 2 4 4 4 4 4 5 5 5 5 6 6 6 7 1 0 11 15 11 9 6 5 4 4 4 4 4 4 5 5 6 6 6 7 7 6 6 6 6 5 5 5 5 6 7 7 6 5 5 5 5 6 7 6 5 6 7 7 8 8 11 10 4 4 6 6 5 5 5 5 5 6 5 5 6 7 9 11 10 9 8 7 7 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 4 5 5 5 5 6 6 5 5 4 3 4 4 4 3 3 3 3 2 3 3 3 3 4 5 4 4 4 4 3 4 3 3 3 4 3 4 4 5 5 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 2 2 3 3 2 2 2 2 2 2 2 3 3 3 4 4 3 3 4 4 4 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 3 3 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 6 7 7 6 5 5 6 7 7 9 13 17 18 14 9 6 4 4 6 7 6 6 5 3 3 3 3 4 5 6 8 9 9 8 7 7 7 6 4 3 4 7 7 8 9 10 9 5 5 8 11 5 6 8 15 13 9 0 1 0 2 4 1 2 8 13 13 12 9 6 5 5 9 12 9 7 6 3 1 6 14 14 8 1 0 2 5 2 3 4 6 4 2 5 6 5 6 7 11 16 18 13 8 7 6 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 5 5 5 5 5 4 5 4 4 5 5 4 4 5 5 6 7 8 9 9 9 9 9 9 8 7 6 6 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 4 3 4 4 4 3 2 2 3 3 4 5 7 9 11 11 12 14 18 22 20 16 17 15 3 -13 -18 -11 -3 -2 1 3 6 10 16 20 15 6 6 5 5 4 2 1 -1 -3 -7 -11 -8 -6 -9 -11 -6 -1 -2 -5 -4 1 4 2 1 3 6 6 4 2 2 4 6 7 7 9 11 12 9 6 -0 2 8 7 7 7 7 6 5 4 4 4 5 4 5 6 6 7 7 7 6 6 6 6 5 5 4 4 5 6 7 7 5 5 5 5 6 6 6 5 5 6 7 7 6 8 9 7 6 6 6 6 6 6 5 5 5 5 6 5 6 8 11 11 10 8 9 9 8 8 9 9 9 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 6 6 6 6 6 7 6 6 5 4 4 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 4 4 3 3 4 4 4 4 3 2 2 2 2 1 1 2 2 2 2 3 3 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 4 4 6 7 7 7 6 6 6 7 7 7 10 15 21 22 16 10 6 4 5 7 6 6 6 6 5 3 3 3 3 5 6 8 9 9 9 7 7 7 6 5 3 4 6 8 10 9 8 6 9 -1 3 5 8 6 11 11 11 11 0 2 0 -3 4 3 2 6 9 11 12 8 1 -1 2 9 13 10 10 10 4 -1 6 14 15 7 1 -0 4 7 3 0 4 6 3 0 3 4 5 6 7 12 18 18 11 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 6 5 5 5 4 5 5 4 4 5 5 5 4 5 5 6 7 7 8 8 8 8 8 7 7 6 5 5 5 5 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 4 3 3 4 4 3 2 3 4 4 4 4 6 8 9 10 10 11 12 14 15 13 14 14 9 -0 -14 -19 -14 -13 -11 -8 -1 7 9 10 9 6 5 4 3 1 -1 -4 -7 -8 -10 -15 -16 -12 -10 -13 -11 -3 2 4 4 6 9 5 3 5 7 7 6 6 5 6 10 13 14 12 10 13 13 14 8 4 6 6 6 7 7 7 5 5 5 5 5 4 4 5 6 6 7 7 7 6 5 5 5 5 4 4 4 6 7 7 6 5 5 4 4 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 8 9 10 9 8 10 13 14 11 9 10 10 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 6 6 6 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 5 4 4 4 5 4 4 4 4 4 5 5 4 3 3 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 6 7 7 7 6 6 7 7 7 8 12 18 23 23 17 11 6 4 5 7 6 6 6 6 5 4 4 3 3 4 6 8 9 9 8 8 8 7 6 5 4 5 7 9 8 7 4 7 12 -1 1 -1 3 -1 7 5 5 8 2 5 5 1 1 2 1 6 9 11 15 10 3 -2 -0 6 7 7 10 13 7 2 6 9 8 4 1 2 9 8 3 -1 3 4 2 2 1 3 6 6 7 14 21 18 10 7 6 5 4 4 3 3 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 4 4 4 5 5 5 6 6 6 7 6 6 5 5 5 5 5 5 5 4 4 3 3 4 4 4 5 5 5 6 5 5 5 4 4 4 4 3 3 2 3 4 5 4 4 5 7 8 9 8 8 7 8 8 9 11 13 9 4 -1 -9 -11 -12 -14 -16 -13 -2 4 6 7 6 5 4 2 -1 -3 -4 -6 -8 -5 -4 -8 -6 -1 -0 -2 0 4 6 6 6 8 7 6 8 10 9 11 17 15 12 15 17 19 15 6 5 10 9 6 6 6 6 6 6 7 7 6 6 5 5 4 4 4 5 5 5 6 6 7 6 5 5 5 5 4 3 3 5 6 7 7 7 8 5 0 2 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 8 8 8 7 6 6 6 7 8 8 7 7 9 16 22 21 15 11 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 5 5 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 6 6 6 6 5 5 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 6 7 7 7 7 7 7 7 8 10 15 20 25 24 19 11 6 4 6 7 7 7 7 6 5 5 4 3 3 4 5 7 7 8 8 8 8 8 7 6 6 6 8 8 6 4 3 10 10 2 0 5 3 -4 3 1 1 2 8 9 9 3 -1 -1 1 8 13 14 11 9 9 4 -0 1 4 6 10 11 7 5 6 6 3 2 3 6 11 9 4 0 1 4 3 5 3 5 8 7 8 14 20 16 9 8 6 5 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 4 3 4 4 4 5 5 6 7 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 2 3 3 4 4 4 4 5 6 7 7 7 6 6 6 7 8 12 20 19 10 5 1 -0 -0 -3 -9 -17 -16 -9 -2 4 5 4 5 4 1 1 6 7 3 2 4 5 5 6 6 6 5 5 6 5 4 5 7 8 11 14 14 15 22 23 19 16 13 13 14 9 3 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 5 5 6 6 6 5 5 6 6 4 3 3 4 5 6 7 7 10 11 3 0 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 8 11 12 11 9 7 6 6 6 5 5 5 6 11 24 36 26 10 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 6 6 5 5 5 5 6 5 5 5 4 3 3 4 3 3 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 2 3 2 2 2 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 7 7 9 11 15 19 24 26 24 17 10 5 5 6 7 7 8 8 7 6 5 4 4 4 4 4 6 7 8 8 8 7 7 6 5 6 7 5 5 6 5 4 9 9 4 2 13 9 -2 -5 -5 3 0 11 10 8 5 1 2 6 10 13 11 7 5 8 6 1 -0 2 7 11 10 5 4 5 2 -1 3 8 11 11 9 6 1 0 6 7 6 6 9 13 9 8 14 20 15 9 8 7 5 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 4 4 3 4 4 4 4 5 6 6 6 6 6 5 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 2 3 3 4 4 4 4 5 5 6 6 6 5 5 6 7 8 11 20 28 24 12 4 2 3 4 1 -6 -14 -18 -15 -6 -1 -1 -0 3 5 7 10 13 10 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 12 16 15 14 14 16 13 9 6 5 8 8 5 4 4 5 5 5 5 5 5 5 5 6 5 5 6 6 6 5 4 4 4 5 5 5 5 6 5 5 6 6 5 3 1 3 5 6 7 8 11 9 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 9 13 18 18 14 10 6 5 5 4 4 4 4 6 18 33 29 14 7 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 3 4 4 3 3 4 4 4 4 4 5 5 5 5 6 7 7 7 8 8 7 6 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 4 5 5 6 7 7 6 6 5 5 5 5 4 4 4 4 3 3 3 2 2 2 3 3 3 4 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 5 5 6 7 8 8 8 8 10 16 20 22 24 26 26 22 14 6 4 5 7 8 8 8 8 8 6 5 5 5 4 4 5 5 7 7 7 6 6 5 6 6 6 5 2 3 6 6 2 9 11 4 3 14 13 7 -1 -4 5 4 7 5 3 7 3 5 10 10 9 7 4 7 8 5 2 2 2 6 13 12 5 3 4 0 -2 5 10 12 12 8 3 0 1 9 11 5 6 12 15 7 5 14 19 13 8 8 7 5 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 4 3 2 2 3 3 4 4 4 4 5 5 5 5 5 5 4 5 6 6 8 14 22 27 22 15 11 7 3 3 2 -1 -7 -14 -15 -14 -14 -11 -8 -5 -4 -1 4 8 8 6 4 4 4 6 5 5 6 6 7 8 9 9 7 10 11 9 7 7 6 3 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 5 5 7 9 7 -1 -0 3 5 6 7 8 8 7 6 6 5 5 5 5 6 5 5 5 5 5 5 6 6 7 9 14 24 31 24 12 5 3 3 4 4 5 4 5 12 18 18 14 9 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 3 3 3 2 2 1 1 2 2 3 3 4 4 5 6 7 7 7 7 7 6 5 4 5 4 5 5 5 5 4 4 4 3 3 4 3 3 4 3 3 4 4 5 5 5 5 6 6 5 4 5 6 7 8 7 7 6 6 6 6 5 5 5 5 5 5 5 4 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 6 6 6 7 8 8 8 11 21 34 36 30 26 25 22 16 9 4 2 5 7 8 9 9 8 8 8 6 5 4 4 4 4 5 6 6 6 5 5 5 7 7 6 4 2 4 5 2 0 9 11 7 4 10 12 10 6 6 10 8 4 1 -1 5 3 5 11 9 6 5 6 9 7 3 3 6 6 7 10 10 5 3 5 3 1 5 7 8 11 9 2 0 5 14 13 6 7 13 11 5 4 12 15 10 9 8 7 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 2 2 3 3 4 4 4 4 5 5 4 5 5 5 4 4 4 5 6 7 11 16 23 29 26 20 12 7 5 4 4 -2 -11 -14 -15 -14 -11 -11 -11 -7 -0 4 6 6 4 4 5 6 6 7 9 11 11 13 17 19 14 6 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 5 6 8 13 6 -1 3 4 6 7 7 6 7 7 6 5 5 6 6 6 6 6 6 6 5 6 7 7 7 8 11 22 34 30 15 5 3 3 4 5 5 4 5 9 8 7 9 9 8 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 4 4 4 4 4 4 3 2 2 1 1 1 1 1 2 3 3 5 5 6 7 6 6 6 5 5 4 4 4 4 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 8 10 20 40 51 46 32 23 19 15 10 4 1 2 5 7 9 10 10 9 8 7 7 5 4 4 4 4 4 5 6 7 6 6 6 7 5 3 6 6 6 4 -0 -0 4 9 14 10 8 8 5 4 9 11 10 4 2 -1 0 2 3 7 7 5 4 6 8 6 3 4 7 6 5 4 1 1 7 12 9 5 4 3 4 7 7 3 4 8 15 12 6 8 9 6 4 5 7 9 11 10 8 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 4 3 3 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 4 4 3 2 2 3 3 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 9 17 22 23 26 25 19 15 13 11 7 5 6 3 -2 -2 0 -0 1 4 6 7 7 8 8 8 9 8 11 17 18 17 21 24 23 14 4 2 3 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 4 5 5 5 6 6 6 6 6 5 5 6 6 6 7 7 6 6 6 9 9 4 3 3 4 6 7 7 7 7 6 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 9 13 20 21 15 8 4 5 5 5 5 4 4 6 8 6 4 5 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 4 4 4 4 4 5 5 5 5 4 2 2 2 1 1 1 2 2 2 4 4 5 5 5 6 5 5 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 3 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 10 16 30 45 42 35 25 16 13 9 5 1 1 2 5 8 9 10 10 9 8 7 6 4 3 3 4 4 3 5 7 8 9 8 7 5 3 1 5 9 9 7 4 5 4 6 11 7 4 5 5 4 4 5 7 6 5 1 -0 4 3 3 4 5 4 4 7 6 5 5 5 2 -1 -2 -3 -1 7 14 11 5 3 2 2 1 2 5 9 12 15 10 6 5 4 4 3 2 1 6 14 12 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 3 3 3 3 3 3 4 4 5 4 4 5 5 4 4 3 4 4 4 5 7 8 12 18 22 24 24 23 23 22 24 26 20 11 8 9 9 9 12 16 16 12 17 20 15 16 14 12 19 22 19 18 18 15 9 4 3 3 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 5 6 6 6 7 7 7 7 6 6 6 5 4 3 3 4 6 7 8 7 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 9 9 7 6 6 6 5 5 4 5 6 6 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 4 4 4 4 5 6 6 6 6 6 5 4 3 2 2 2 1 1 2 3 3 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 6 5 4 4 4 4 4 4 5 5 4 4 3 4 4 4 5 5 5 5 6 6 7 7 6 4 2 1 1 1 1 1 2 1 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 9 14 24 31 26 17 15 15 12 11 6 1 0 1 3 6 8 9 9 10 9 8 8 6 4 3 3 3 3 4 5 8 10 10 9 7 5 5 2 3 7 7 7 9 10 7 6 6 1 -1 1 6 9 4 1 3 8 8 4 5 9 6 3 4 4 3 4 8 5 3 6 5 3 -2 -2 1 2 5 8 6 3 1 1 0 -4 -1 7 11 19 18 9 5 1 1 4 3 0 1 11 18 13 6 6 5 4 4 4 4 4 4 4 5 4 4 4 4 3 3 2 2 3 3 3 4 4 3 4 4 3 4 4 5 5 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 5 6 8 12 16 20 20 21 22 23 26 29 26 18 18 16 16 19 22 23 22 23 25 24 22 19 12 12 15 13 10 9 8 7 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 6 7 7 7 7 7 7 6 5 3 3 3 5 6 7 7 6 5 5 5 5 6 6 7 7 7 7 7 6 7 7 8 8 6 6 5 4 4 5 6 6 6 5 5 5 5 5 5 6 7 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 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 4 3 3 2 1 1 1 2 2 2 4 5 5 6 5 4 4 3 3 3 4 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 6 7 8 8 6 2 -0 0 1 1 1 1 0 0 0 1 1 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 6 6 6 7 8 11 18 27 26 12 5 6 7 8 8 2 -0 1 3 4 6 8 9 9 9 9 9 8 6 4 3 3 3 4 5 6 8 9 10 8 7 6 6 5 6 9 5 5 6 5 9 11 6 1 -2 2 8 10 6 2 3 9 9 7 10 10 6 4 5 4 4 4 8 5 2 6 6 5 0 2 8 3 3 4 4 2 -2 -0 3 1 1 5 13 22 17 7 1 -2 0 2 3 4 6 17 20 11 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 4 4 3 4 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 5 6 6 6 6 5 4 3 3 4 3 3 4 4 4 4 3 3 4 4 5 5 5 4 4 4 3 4 4 4 4 5 6 7 9 10 9 9 9 12 19 25 24 23 22 20 17 15 16 16 14 14 15 14 14 10 9 10 9 7 6 6 6 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 5 5 5 5 5 6 7 7 6 7 6 7 6 5 3 3 4 5 5 6 6 6 6 5 5 5 5 6 6 6 7 7 6 6 6 7 8 7 6 7 5 4 4 5 6 6 6 5 5 5 5 6 7 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 6 6 5 5 6 6 6 6 6 7 8 7 7 7 6 5 4 3 2 2 1 1 2 3 3 5 5 5 5 3 3 3 3 3 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 5 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 9 8 4 2 2 2 1 1 1 1 1 1 1 1 1 2 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 6 6 7 9 15 23 26 20 9 8 8 2 4 3 -1 -0 3 3 5 8 9 8 9 9 9 9 8 7 4 2 2 3 4 6 9 10 9 8 7 6 2 2 6 10 15 6 7 -0 -4 7 12 8 5 -2 2 7 6 5 5 7 10 9 8 8 5 4 6 7 6 4 5 8 6 2 3 3 2 3 3 9 4 2 4 5 4 -2 3 9 8 4 6 20 23 12 5 -0 -2 -1 1 6 11 11 16 18 9 6 7 6 4 4 4 4 3 4 4 5 4 4 3 3 3 3 3 3 2 3 3 3 3 4 3 3 4 4 4 5 6 6 6 7 6 5 5 5 5 4 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 2 2 3 3 4 5 5 5 6 5 4 4 4 4 3 4 4 4 5 4 4 4 4 3 3 3 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 5 7 11 14 15 15 12 9 7 6 5 4 5 4 4 6 7 8 8 7 6 5 5 5 6 6 6 6 6 6 6 7 6 5 4 3 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 5 4 4 4 5 5 5 5 5 6 6 6 6 7 7 5 4 3 3 4 5 5 5 6 6 5 4 4 5 6 6 6 7 7 6 6 6 7 7 7 8 9 9 8 6 4 4 5 6 6 5 5 5 6 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 nan nan nan
nan nan 4 5 6 6 6 5 5 6 7 6 6 7 7 7 7 7 7 7 7 6 5 4 3 2 2 2 3 3 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 3 4 5 5 5 5 5 5 4 3 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 4 3 4 4 5 7 8 8 6 5 3 3 2 2 2 2 2 2 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 8 13 22 27 23 14 7 6 1 -6 -2 -1 -2 0 3 3 5 8 9 9 8 7 8 8 8 7 5 2 2 3 5 8 11 12 10 7 5 0 1 4 3 5 8 6 6 -1 -3 4 11 15 8 2 3 3 1 2 5 7 9 8 8 4 2 6 12 12 7 5 7 9 6 5 3 1 2 1 -2 6 8 5 4 5 4 1 6 12 9 4 9 21 25 16 6 0 -3 -3 4 12 15 13 15 18 11 7 7 6 4 4 4 3 3 4 5 5 5 4 3 3 3 3 2 3 3 2 3 3 3 4 4 3 4 4 4 4 5 6 6 6 6 6 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 5 5 4 3 3 4 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 5 5 5 5 6 7 5 5 5 4 4 4 3 4 4 4 5 7 7 6 5 5 6 6 6 6 7 6 6 6 6 6 5 5 3 3 3 3 5 5 5 4 4 4 5 5 5 5 6 6 5 4 4 5 6 6 5 5 4 4 5 5 4 4 5 6 6 6 6 7 7 6 4 3 3 4 5 5 5 5 6 6 5 5 5 5 5 6 7 7 6 6 6 6 6 8 9 10 12 11 9 7 5 5 5 6 6 5 6 6 7 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 4 4 5 6 6 6 5 4 6 7 7 7 7 7 6 6 7 7 8 8 8 8 7 6 5 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 6 8 9 8 6 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 6 7 7 7 8 9 12 21 29 27 18 6 -1 -5 -13 -15 -6 -2 -1 0 2 3 5 9 10 9 7 7 8 7 7 7 5 3 2 4 6 9 12 12 9 7 3 -3 -2 2 2 2 2 5 1 2 4 3 10 16 6 7 5 1 -0 1 3 6 7 7 4 1 2 9 15 14 9 7 8 8 5 8 7 7 6 -4 -6 6 14 8 4 2 -1 3 6 7 9 9 10 16 24 22 8 -2 -5 -1 9 14 13 10 14 19 13 7 7 6 4 3 4 3 3 4 5 5 4 4 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 3 3 4 4 5 6 6 6 6 5 4 4 4 5 5 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 4 5 5 4 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 5 4 3 3 2 1 1 2 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 5 6 7 7 5 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 7 8 9 10 11 10 9 7 6 6 6 6 6 6 7 7 8 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 4 5 6 6 7 6 5 4 5 6 7 6 7 7 6 6 5 7 7 7 8 9 9 8 8 6 5 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 4 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 6 8 8 7 5 5 5 6 6 6 6 6 6 6 5 4 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 4 5 6 7 7 7 9 14 23 31 31 22 11 -1 -4 -11 -19 -18 -9 -2 -0 0 2 3 5 8 10 9 7 7 7 6 6 6 6 4 3 5 7 8 10 9 6 5 5 4 1 -1 -1 -1 4 4 0 4 9 6 4 5 4 4 0 -1 -0 2 3 4 6 5 3 1 2 9 16 15 11 7 6 7 7 6 5 8 7 -5 -3 13 18 5 2 3 -3 4 6 6 8 12 12 16 27 26 9 -3 -5 2 11 13 8 8 14 21 15 7 7 5 4 3 3 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 5 5 6 6 5 5 5 5 5 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 4 6 6 5 4 3 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 6 6 4 4 3 4 4 5 5 4 4 5 5 5 6 6 5 5 5 6 6 5 5 4 3 3 4 5 3 -4 -6 2 5 4 3 3 2 3 3 4 5 6 6 6 5 4 4 5 5 5 5 5 4 4 4 4 5 6 5 5 5 6 6 6 4 3 2 3 4 4 4 4 4 5 5 5 4 5 6 7 6 6 6 6 6 6 7 8 8 7 8 9 9 7 6 7 7 6 6 7 6 7 8 8 8 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 6 7 6 5 4 5 6 6 6 6 5 4 5 5 5 6 7 8 9 9 9 8 8 7 6 5 3 3 3 4 4 4 4 4 3 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 3 2 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 3 3 3 3 3 4 5 7 7 6 5 6 6 7 7 7 7 7 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 6 7 9 14 25 34 34 25 12 5 0 3 -9 -18 -14 -6 -2 0 2 3 4 5 8 9 8 7 6 6 5 5 6 6 5 4 5 7 7 7 6 4 2 4 9 12 10 5 0 1 1 2 8 12 9 2 -4 3 4 -1 1 4 4 3 3 5 5 5 4 2 6 14 17 12 6 4 5 5 3 4 6 3 -3 0 19 21 2 2 6 -1 3 3 3 7 12 13 23 33 26 9 -3 -1 7 12 10 6 7 13 22 17 7 6 5 4 3 3 3 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 4 3 3 3 4 4 3 3 3 4 6 6 6 5 4 4 4 4 4 3 3 4 4 4 5 5 6 6 7 7 7 7 5 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 5 4 2 3 4 7 10 2 -10 -6 5 4 4 3 3 2 2 3 4 5 6 7 7 5 4 4 5 5 5 5 4 3 2 3 5 5 6 6 6 5 5 5 5 4 3 3 3 4 4 3 3 4 4 4 5 5 6 6 6 6 6 5 6 6 7 7 7 7 7 7 8 9 8 7 6 6 6 6 6 7 7 7 7 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 3 3 3 4 5 6 6 5 4 4 5 5 5 5 5 4 5 4 5 5 6 6 7 7 8 8 8 8 8 6 4 3 3 3 4 4 5 5 4 4 5 5 5 4 4 4 5 5 5 5 4 3 3 4 3 3 2 1 1 2 2 2 3 3 3 2 2 3 3 3 3 3 3 4 3 3 4 4 4 4 3 4 4 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 5 6 6 6 7 8 14 22 31 34 27 17 3 -4 2 -1 -13 -18 -10 -4 -1 1 3 4 5 6 8 9 8 8 7 5 4 5 6 6 7 7 5 4 5 6 7 6 3 3 5 6 10 12 8 3 2 5 10 13 14 7 -2 3 4 1 1 3 5 5 5 5 8 9 6 0 3 12 16 11 6 5 5 5 4 6 4 1 -1 2 15 14 1 3 4 -0 2 -3 -1 8 8 9 29 38 23 4 -3 3 12 13 8 6 8 13 21 17 9 7 5 4 4 3 3 4 5 5 5 4 4 4 3 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 5 4 5 5 5 4 4 5 4 4 4 4 5 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 3 2 3 3 3 3 3 3 4 4 4 3 3 4 5 6 6 6 5 5 5 4 4 4 3 3 4 4 4 4 5 5 6 7 8 7 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 4 8 14 9 -3 -5 3 5 5 4 4 3 3 3 3 4 6 8 9 8 6 2 3 5 6 6 6 5 1 0 4 5 6 7 7 6 5 6 6 4 3 3 3 4 4 3 3 4 4 4 4 5 6 7 7 6 6 5 6 6 6 6 6 7 7 8 9 13 13 10 7 6 5 5 5 6 5 5 6 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 2 2 2 3 3 5 6 5 5 3 4 4 5 5 4 4 4 4 4 5 5 4 5 5 6 6 7 8 8 8 6 4 3 3 3 3 4 4 5 5 5 5 5 4 4 5 5 6 7 7 7 6 6 5 4 3 2 2 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 4 5 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 6 7 7 7 9 14 19 24 25 22 15 6 -3 -8 -9 -22 -24 -15 -6 -2 0 3 4 5 6 6 7 9 9 8 8 7 6 5 6 7 8 7 3 2 4 5 8 9 5 8 9 4 1 1 3 3 5 8 11 16 20 13 4 6 5 0 -2 1 3 4 5 5 10 13 10 1 1 9 12 9 7 6 5 7 10 11 7 1 -1 4 11 9 2 2 0 -1 4 1 -0 5 1 9 32 35 17 1 -0 6 13 11 7 7 10 15 20 15 9 7 5 4 3 3 4 5 5 5 5 4 4 4 4 3 3 3 2 3 3 3 3 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 5 4 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 5 5 6 6 6 5 4 4 4 4 3 4 4 4 4 4 5 6 6 7 7 7 6 6 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 8 14 11 1 -1 3 5 5 5 5 4 3 3 3 3 5 8 11 10 9 1 -1 4 6 6 6 8 5 1 3 5 5 6 7 6 6 6 6 5 4 3 3 4 4 4 4 4 4 4 5 5 5 6 7 6 6 6 6 6 6 6 6 6 7 8 11 15 17 15 9 6 5 4 4 5 4 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 2 2 3 4 5 6 5 4 3 3 4 5 4 5 4 3 3 4 3 4 4 4 5 6 7 8 8 8 7 5 4 3 3 4 4 4 4 5 6 6 5 5 4 5 5 6 8 8 9 11 12 11 6 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 6 6 5 4 3 3 3 3 3 4 4 4 5 5 5 6 5 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 6 8 8 9 11 14 18 18 17 13 8 1 -5 -5 -7 -16 -22 -15 -4 0 1 2 3 4 5 6 7 8 9 10 10 10 10 8 6 7 7 7 5 2 0 6 5 7 8 4 7 8 1 -0 -2 -1 1 7 9 11 21 25 16 9 10 9 5 0 0 2 3 4 4 8 13 11 3 3 9 9 8 9 6 3 5 9 12 9 3 3 6 8 9 9 6 -1 -1 2 6 2 2 4 20 31 23 8 1 2 8 11 9 6 7 11 16 19 14 8 8 6 5 3 3 4 5 6 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 3 3 4 4 4 4 3 4 4 4 5 6 7 7 6 5 4 3 4 4 4 3 4 4 5 4 5 5 5 6 6 7 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 3 1 1 1 4 13 13 3 0 3 5 5 5 5 4 3 3 3 3 5 7 9 9 12 8 1 4 5 5 5 8 9 5 4 5 5 6 6 7 6 6 6 6 5 4 4 3 4 5 4 4 4 4 5 5 5 5 6 6 7 7 6 6 6 5 5 6 7 8 10 13 17 16 12 7 6 5 5 5 5 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 3 4 5 5 5 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 5 6 7 7 7 7 6 5 4 4 5 5 5 5 5 6 6 6 5 4 4 4 5 6 7 9 14 19 17 10 5 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 6 6 6 6 5 4 3 3 3 2 3 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 9 12 10 13 15 15 15 11 10 7 0 -5 -6 -3 -4 -4 0 4 6 4 4 4 4 4 5 6 6 8 11 13 12 12 12 11 9 8 7 5 3 -1 -1 6 6 6 7 6 6 4 -2 -1 3 8 11 11 5 7 19 21 15 11 10 11 10 5 2 4 5 5 2 4 8 6 4 6 10 9 8 8 4 5 7 6 4 2 6 11 9 6 7 10 10 4 1 -3 8 10 8 14 26 25 13 1 -1 4 8 8 6 5 7 12 17 20 14 7 8 7 5 4 3 4 5 6 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 5 6 7 7 6 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 2 3 3 3 3 0 -1 -1 -1 2 8 6 3 4 5 5 5 5 5 4 4 3 4 6 6 6 6 10 12 8 6 6 5 5 6 6 6 5 4 5 5 6 7 6 6 6 6 6 5 5 4 5 5 5 5 5 5 4 5 5 5 6 6 7 7 7 6 6 6 6 6 7 7 8 9 12 12 11 8 7 7 6 6 6 6 6 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 8 7 5 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 6 7 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 6 11 17 18 11 5 3 3 3 3 3 3 2 2 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 5 5 3 3 3 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 6 5 5 5 5 5 6 11 14 12 14 13 9 8 7 10 8 6 9 10 9 7 10 12 10 7 5 5 5 4 5 5 6 6 8 11 15 15 14 14 12 10 8 7 5 5 2 2 5 6 7 9 8 6 8 6 3 4 8 9 6 -1 4 12 10 9 8 6 7 10 8 4 5 9 7 2 0 3 2 5 10 12 11 8 4 3 6 7 4 -0 -0 8 13 9 6 4 3 4 7 6 -3 4 17 19 22 22 15 3 -6 -1 5 7 6 4 5 8 12 17 18 11 7 8 7 5 5 4 3 5 6 5 4 3 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 4 3 2 3 4 3 4 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 3 3 3 4 4 5 4 4 4 3 4 5 6 7 7 5 3 3 2 2 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 5 6 6 6 6 7 6 5 5 4 4 4 2 2 3 5 5 0 -0 -0 -4 -5 2 4 4 5 5 5 5 5 5 5 5 5 6 6 4 4 6 8 8 7 7 6 5 5 5 5 4 4 4 5 5 6 6 7 6 6 7 7 6 5 5 5 5 5 5 5 5 5 4 5 5 6 7 7 7 7 6 6 6 6 6 7 7 6 7 7 8 8 8 8 7 7 6 7 8 8 6 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 9 8 7 7 6 5 5 5 5 4 3 3 3 3 3 3 3 2 2 3 3 3 3 4 5 6 6 6 6 6 5 5 6 6 7 7 6 6 6 6 6 6 7 6 5 4 4 4 4 6 10 12 9 6 4 4 3 4 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 5 5 5 5 5 6 7 8 8 8 7 7 7 7 7 5 4 3 4 4 4 4 5 5 4 4 4 4 4 3 3 2 3 3 3 3 4 4 5 6 5 6 6 6 5 5 6 7 13 17 15 11 7 5 6 7 11 12 19 31 28 19 14 12 9 6 5 5 5 5 5 5 5 6 6 7 11 16 19 18 15 12 9 7 6 5 5 5 7 9 8 8 9 6 5 9 13 14 9 4 4 -3 -6 6 9 3 2 2 1 5 8 5 1 3 7 7 5 2 1 2 10 17 15 10 6 1 4 8 5 -1 -0 6 7 8 10 7 2 2 5 7 9 -1 -5 14 29 26 15 4 -7 -8 1 4 5 6 5 6 9 11 15 17 12 7 8 8 6 5 4 4 4 5 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 3 3 4 5 5 4 4 4 3 4 5 6 7 7 5 4 3 3 3 3 2 3 3 2 2 2 3 3 4 4 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 5 4 2 3 9 12 9 5 4 1 -4 -1 4 4 4 5 5 5 5 5 6 6 6 6 6 4 3 3 4 5 7 8 8 7 6 5 4 4 4 4 4 4 5 6 7 6 6 7 7 7 6 5 5 5 5 5 6 7 6 4 4 5 6 6 8 8 6 6 6 6 6 7 7 7 6 5 6 7 8 8 8 9 8 7 7 8 8 6 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 13 12 12 10 9 8 6 5 5 5 5 4 4 4 4 3 3 3 2 3 3 3 4 4 4 5 5 6 6 6 5 5 5 6 7 7 6 6 6 6 5 7 7 8 7 5 5 4 4 4 5 6 6 5 5 4 4 3 4 4 4 3 2 2 2 2 2 3 4 4 4 4 4 4 4 5 5 5 5 6 7 8 8 8 7 7 8 8 7 7 5 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 5 7 9 12 18 18 12 6 5 5 7 7 9 13 22 33 21 10 5 2 2 4 5 6 5 5 5 5 5 5 6 7 11 16 22 22 15 10 8 6 6 4 1 1 5 11 11 12 11 7 7 10 14 13 7 8 16 -3 -5 6 4 3 5 2 -0 5 6 1 -1 1 3 5 8 9 2 4 11 18 15 9 6 3 6 9 5 2 10 13 6 9 16 10 4 5 11 11 10 5 -3 15 35 23 9 -2 -9 -2 5 5 7 8 6 6 9 9 12 19 16 8 8 8 7 5 4 4 4 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 4 4 4 3 2 3 4 4 4 4 4 4 4 4 5 6 7 6 4 3 3 3 3 3 3 3 3 2 2 1 2 2 3 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 4 3 4 9 16 16 11 8 6 2 2 4 4 4 4 3 3 5 6 7 7 7 7 5 4 3 3 3 4 5 7 9 8 7 6 5 4 3 3 4 4 5 5 6 6 6 6 7 7 7 6 5 5 4 4 6 7 7 5 4 5 5 6 7 7 7 6 6 6 7 7 7 7 6 6 6 7 7 7 8 8 9 8 8 7 6 7 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 15 15 15 13 11 10 8 7 7 7 7 7 6 6 5 4 4 3 3 3 2 3 4 5 5 4 4 5 6 6 5 5 5 5 6 6 5 5 5 4 5 6 6 7 7 6 5 6 6 6 5 5 4 4 3 3 3 4 4 4 4 4 3 2 2 2 3 3 4 4 4 4 4 4 4 5 6 6 6 6 7 8 9 8 8 7 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 8 14 18 18 13 7 4 5 5 6 6 6 10 12 7 -4 -7 -6 -3 1 5 6 5 5 5 5 5 5 5 6 8 12 17 24 24 13 8 8 6 6 6 2 0 1 6 10 14 14 9 7 3 1 1 0 12 20 2 1 4 2 8 14 8 3 6 6 1 3 4 3 5 11 10 5 9 13 15 13 8 7 5 9 9 4 7 15 11 6 13 16 10 8 6 9 14 11 16 11 24 34 17 0 -11 -7 9 14 13 14 11 7 7 8 9 12 19 18 9 7 8 6 5 4 4 4 5 4 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 5 5 5 5 6 6 6 6 6 5 4 4 4 3 2 3 3 4 4 4 4 4 4 4 5 6 6 6 5 3 3 3 3 3 4 4 3 3 3 2 1 0 1 2 3 3 4 3 4 4 4 5 6 6 6 6 6 5 5 5 4 5 7 14 19 12 7 9 5 4 5 5 4 4 3 3 4 6 7 7 7 7 7 6 4 3 3 3 4 6 8 8 7 6 5 4 4 4 4 3 3 4 5 6 6 6 7 7 7 6 6 6 5 5 6 7 7 6 5 5 5 6 6 7 7 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 8 9 9 8 7 7 7 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 14 14 12 11 10 10 9 9 10 10 10 10 9 8 7 6 6 5 4 3 3 4 5 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 7 7 6 4 3 2 2 3 3 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 7 8 9 9 9 7 6 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 8 15 18 12 7 4 4 4 5 5 5 5 2 -3 -17 -17 -11 -4 1 5 6 6 5 5 5 6 6 6 6 7 10 13 18 24 22 12 7 8 5 6 5 4 4 3 5 7 7 9 8 3 -4 -6 -5 -1 13 9 3 7 6 4 13 18 9 4 6 4 2 8 9 7 10 12 8 9 13 15 14 11 6 6 8 10 9 4 4 4 1 4 9 7 8 11 10 8 6 9 20 24 32 28 11 -12 -19 -0 22 29 26 21 14 10 9 8 8 11 18 19 11 7 7 7 6 4 4 4 4 4 3 2 3 3 3 3 4 4 4 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 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 3 2 2 3 4 5 5 5 5 5 5 4 5 5 6 5 4 3 3 4 4 4 4 4 4 3 3 1 -1 -3 -3 -2 -0 1 3 3 4 4 4 5 6 6 6 5 5 5 5 5 5 6 11 17 12 5 6 7 6 6 6 5 4 3 4 5 6 7 8 7 7 7 7 6 4 3 3 4 5 5 5 6 6 5 5 5 5 4 4 3 4 4 4 5 6 6 6 6 6 6 6 6 5 6 7 8 8 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 7 7 7 7 7 8 9 9 9 8 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 12 12 10 8 9 10 10 11 11 11 12 11 10 8 8 8 9 8 6 5 5 6 7 8 8 8 7 5 4 4 5 5 5 4 5 4 4 4 4 3 3 3 4 4 5 5 6 6 6 7 6 4 3 2 3 3 4 5 6 6 6 5 4 3 3 3 4 4 3 4 4 4 4 5 5 5 5 6 6 6 7 7 8 9 9 8 7 6 4 4 4 5 4 3 3 3 3 3 3 4 4 4 5 4 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 13 16 10 6 5 4 4 4 5 6 5 -1 -8 -14 -8 -1 4 6 6 6 6 5 5 6 6 6 6 7 10 12 14 18 21 16 9 7 5 3 1 -1 1 7 10 10 9 5 5 4 1 -0 2 -2 2 8 -4 0 16 14 7 12 15 5 5 5 1 5 11 9 9 11 6 4 8 8 10 15 12 -0 1 12 10 5 -1 -6 -7 -1 5 3 0 6 10 9 6 2 6 18 30 35 22 3 -16 -14 9 27 32 28 20 12 10 10 9 7 9 16 19 12 6 7 7 6 5 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 3 3 3 2 2 3 5 5 5 5 5 5 4 4 5 6 5 4 3 3 2 2 3 4 4 4 4 4 4 2 -4 -8 -8 -7 -5 -0 3 3 3 4 5 5 6 6 6 5 5 5 5 5 6 10 16 14 8 5 7 7 7 6 6 4 4 5 6 7 7 7 7 7 7 7 7 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 7 6 6 7 8 8 6 6 6 5 5 5 4 5 5 6 6 6 7 7 7 8 7 7 7 7 7 7 8 8 9 10 10 11 10 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 10 11 11 10 8 8 9 10 10 8 9 10 10 9 6 5 7 10 11 9 9 9 10 9 9 9 11 11 9 5 4 4 5 4 4 4 3 4 3 3 3 3 3 3 4 4 4 5 5 5 6 6 5 4 3 3 4 5 6 7 7 6 5 4 4 4 4 3 4 3 3 4 4 4 4 4 5 6 5 6 6 6 6 8 9 9 9 7 6 5 5 5 5 4 4 4 3 3 3 4 5 5 5 4 5 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 9 14 12 8 5 3 3 5 8 7 4 3 2 3 6 8 8 8 6 6 5 5 6 6 5 7 9 11 13 14 16 17 15 10 7 8 5 5 4 -0 -0 5 7 9 10 7 3 0 2 8 11 9 11 2 -10 -4 4 6 7 8 7 1 5 5 4 9 9 6 7 3 -2 1 4 2 6 9 5 -4 0 17 10 2 1 -3 -3 3 4 -3 -6 1 8 7 1 -0 5 16 32 32 17 0 -10 -2 12 20 21 18 13 9 9 9 8 6 10 17 21 13 6 7 6 6 5 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 6 6 6 5 5 4 4 3 3 2 2 2 3 5 5 6 5 5 5 4 4 4 5 5 4 2 0 -2 -3 -1 1 4 4 4 4 5 7 2 -5 -7 -8 -9 -7 -1 3 4 4 5 5 5 6 5 5 5 5 6 6 6 9 14 16 10 8 7 8 7 6 5 5 5 6 7 7 6 6 7 7 7 7 7 6 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 4 4 4 5 5 5 5 6 7 6 6 6 7 7 7 7 6 5 5 5 4 4 5 5 5 5 6 7 7 8 8 8 7 7 8 8 9 9 9 9 9 11 11 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 8 10 9 8 8 9 10 9 6 6 7 9 6 3 2 4 8 11 12 12 13 11 8 7 9 11 13 12 9 6 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 5 5 7 8 8 7 6 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 6 6 6 6 6 7 8 9 8 7 7 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 7 15 16 9 5 3 5 6 7 5 4 6 9 10 10 9 8 7 6 6 5 6 6 5 6 10 13 15 16 15 14 12 10 9 9 8 7 8 10 7 6 1 3 8 9 6 1 -1 4 7 6 7 10 9 12 8 -8 -7 3 5 1 1 4 5 8 12 10 12 7 -2 -3 2 7 11 11 3 0 5 9 17 10 5 5 6 14 17 9 -3 -4 1 4 1 -0 2 8 16 30 27 12 -1 -3 7 13 14 13 11 7 6 8 8 6 5 11 18 15 7 7 7 7 6 5 5 4 4 4 2 3 4 4 4 5 5 5 5 5 5 4 5 5 4 4 4 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 3 3 4 3 3 3 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 6 6 6 5 5 4 4 3 3 2 2 2 2 4 5 6 6 6 5 5 5 4 4 4 5 4 1 -3 -8 -10 -7 -2 3 4 4 3 4 8 9 3 0 -1 -3 -5 -1 3 4 4 5 5 5 5 5 5 5 6 6 6 5 7 11 12 9 8 8 8 7 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 4 4 4 5 6 5 5 6 6 7 6 5 5 5 5 4 5 5 5 4 5 6 6 6 6 7 7 7 7 7 6 6 5 5 4 5 5 5 4 5 6 7 7 8 9 8 7 7 9 9 9 9 9 8 8 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 6 7 7 7 8 8 8 7 7 9 10 7 3 0 2 6 10 11 13 13 10 7 6 7 9 10 10 9 8 6 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 7 8 8 7 6 5 5 5 4 3 3 3 3 3 3 3 4 4 4 5 5 6 6 5 6 6 7 8 7 7 7 6 6 6 6 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 6 6 6 8 18 19 9 5 5 7 8 3 -1 1 5 7 9 9 7 7 7 7 6 6 6 5 5 9 14 15 15 14 11 9 8 9 11 13 11 6 4 4 6 6 2 0 7 8 5 0 1 5 3 0 2 2 10 25 23 5 -4 -1 3 2 3 1 4 9 13 13 15 6 -0 1 6 11 16 12 3 6 13 13 13 10 5 3 8 21 25 12 3 3 2 -2 -1 2 6 12 20 27 20 9 1 4 11 14 14 12 8 6 7 8 8 5 5 10 13 8 5 9 11 8 6 6 5 5 4 3 2 3 4 4 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 3 2 2 2 2 2 2 4 5 6 6 6 6 5 5 4 4 4 4 5 3 -2 -8 -12 -9 -2 3 5 4 3 3 5 7 6 6 6 4 2 1 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 8 9 9 8 7 7 7 6 5 5 6 6 6 6 6 6 6 7 7 8 8 8 7 7 6 6 6 5 5 5 6 5 5 5 5 7 8 7 6 5 5 6 6 7 7 6 5 4 5 6 5 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 6 7 8 9 9 8 7 8 9 9 9 8 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
nan 4 4 4 4 5 5 5 6 6 6 7 8 10 11 9 5 3 4 6 9 10 11 11 11 9 7 7 7 7 6 7 8 6 5 5 5 5 4 4 5 5 5 4 4 4 3 4 4 4 4 5 6 7 7 7 7 7 7 7 7 8 8 7 7 7 6 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 7 7 7 8 7 7 6 6 7 7 8 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 5 5 5 6 7 8 7 11 19 18 8 5 7 9 10 4 -1 1 7 8 8 7 7 7 7 7 7 6 5 5 8 14 14 11 12 10 7 7 8 9 11 14 11 5 -2 -1 4 5 5 4 6 8 5 -0 5 9 5 9 7 -3 2 17 17 10 2 -0 3 4 1 0 4 4 5 12 11 5 3 5 6 9 9 6 6 13 14 11 10 12 9 4 3 14 20 9 5 4 -0 -5 -0 8 10 15 23 21 13 6 5 9 13 13 12 9 7 6 8 9 6 3 5 9 9 7 7 10 16 12 6 5 5 5 5 3 3 3 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 4 3 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 4 4 3 3 3 3 2 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 4 3 3 2 2 2 2 3 5 6 7 7 6 5 5 5 5 4 4 4 5 4 2 -1 -4 -4 1 5 7 3 1 1 3 5 6 6 6 6 1 -3 -1 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 8 8 7 7 7 6 5 5 6 6 6 5 6 6 6 6 7 7 8 9 9 9 8 8 8 7 6 5 6 6 6 5 5 6 8 9 9 7 6 4 6 8 10 9 7 5 4 5 6 5 5 5 6 5 6 6 7 7 7 7 6 5 6 6 6 6 6 6 6 8 9 9 8 8 7 7 8 8 8 7 7 7 6 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 4 3 3 4 6 7 9 9 8 7 7 8 9 9 9 10 11 10 9 8 7 6 5 6 7 7 6 5 6 6 6 6 7 8 7 6 6 5 5 4 5 5 5 5 5 6 6 6 7 7 8 8 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 7 7 8 7 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 7 7 7 6 5 5 6 7 8 9 10 15 21 17 7 5 8 9 11 12 16 15 14 11 8 6 6 6 6 6 7 6 6 7 13 15 10 10 11 8 8 9 9 8 9 11 8 4 3 5 7 7 8 9 7 9 5 1 6 5 5 14 6 -3 5 10 6 5 1 1 5 4 2 5 6 2 0 4 1 3 5 5 5 5 6 7 10 14 15 14 12 11 10 4 0 5 12 10 5 3 -0 1 5 10 15 21 20 12 5 4 8 11 13 11 10 8 5 5 8 8 4 2 6 8 8 7 7 11 18 15 6 4 5 5 5 4 3 4 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 5 4 4 4 4 3 2 3 3 3 4 4 5 6 5 5 4 4 4 5 4 4 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 3 3 3 2 2 2 4 5 6 6 7 6 5 5 5 5 5 4 4 5 5 5 5 3 2 4 7 6 1 -2 -2 2 5 6 6 6 6 2 -5 -7 0 4 4 4 4 4 4 5 5 5 6 6 6 7 7 8 8 7 6 6 5 4 3 6 6 5 5 6 7 7 7 6 7 8 9 10 9 9 8 8 8 6 6 6 6 6 5 4 6 10 13 11 9 6 4 4 7 10 11 9 6 5 4 5 5 5 5 5 5 6 6 6 7 8 7 6 5 5 5 6 7 6 6 6 7 8 9 9 7 7 7 7 7 8 8 8 8 7 6 6 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 4 4 3 2 2 3 3 4 4 5 7 9 9 10 10 9 8 9 9 10 9 9 8 7 7 7 8 8 7 6 6 7 7 7 8 8 7 7 6 6 5 5 5 6 6 5 4 4 5 5 6 7 9 8 7 6 6 7 7 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 6 6 7 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 6 5 5 5 7 9 10 12 14 20 24 17 7 5 6 8 10 18 24 20 13 8 6 4 4 5 6 7 7 6 7 10 14 12 8 10 9 9 12 13 12 11 11 10 7 4 6 9 11 9 11 11 8 4 2 4 5 -0 5 15 3 -1 7 3 -1 0 -0 5 7 4 5 9 6 3 2 -1 -3 0 4 6 6 6 8 10 12 13 13 12 11 9 7 5 -1 -5 3 10 10 9 5 3 4 8 18 21 15 4 -1 4 12 13 12 10 8 8 5 5 7 7 3 2 6 8 7 6 7 12 18 16 7 4 5 6 5 5 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 5 6 6 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 4 4 3 3 2 2 3 4 5 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 2 -2 -3 -1 4 6 6 6 6 6 4 -0 -1 3 4 4 4 4 4 4 5 5 5 5 6 6 7 8 9 8 7 7 7 6 3 1 2 5 5 6 6 7 7 7 6 6 6 8 9 9 8 8 7 7 6 6 7 7 7 6 5 6 11 15 15 11 6 4 4 6 9 10 10 8 5 4 4 5 5 5 4 5 5 6 6 7 7 6 5 4 3 4 6 6 6 6 6 7 8 8 9 8 7 7 7 7 8 9 10 9 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 5 7 8 8 9 8 8 8 8 9 9 10 9 8 8 8 9 8 7 6 7 7 7 7 7 7 7 7 6 5 5 5 6 6 5 4 4 4 4 5 5 6 8 9 9 7 6 6 6 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 5 5 5 4 5 4 5 5 5 6 6 7 7 7 6 5 5 7 9 11 13 15 20 26 27 17 7 4 6 9 11 13 9 8 5 4 3 4 4 5 6 8 9 9 9 11 11 7 6 7 8 10 13 13 14 17 16 12 8 4 4 5 9 5 3 7 10 4 0 3 3 4 10 13 -2 -1 4 2 1 1 3 8 8 4 5 6 3 2 4 4 2 3 7 9 8 8 9 9 10 10 11 11 9 6 4 5 1 -9 -3 8 13 13 10 7 9 15 19 16 6 -4 -4 8 15 14 11 8 8 7 6 6 7 5 3 3 6 8 6 5 7 13 19 17 8 3 4 5 6 6 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 5 4 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 6 7 7 6 5 5 6 6 5 5 5 5 5 5 5 4 3 4 5 2 0 1 3 5 7 6 6 6 6 5 4 3 3 4 4 4 4 4 5 5 5 5 5 6 6 7 8 8 7 7 8 8 7 6 4 2 4 6 6 7 7 7 7 6 5 5 7 8 8 8 7 6 6 7 7 7 7 8 7 5 6 10 15 16 13 9 6 4 5 6 8 9 8 6 5 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 5 5 5 5 5 6 7 8 8 8 7 7 7 7 9 10 10 9 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 6 5 4 4 4 3 4 4 4 4 4 5 6 7 7 7 7 7 7 7 9 10 10 9 8 8 8 8 7 7 7 7 8 8 8 7 8 8 7 7 6 6 8 7 5 3 3 3 4 4 5 6 7 9 10 8 7 6 5 5 5 5 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 5 5 5 6 5 4 4 4 3 4 4 4 5 6 5 6 6 5 5 4 4 4 4 5 5 5 5 6 7 7 7 6 6 7 10 13 14 15 21 29 34 27 12 6 4 1 5 8 4 0 1 2 2 3 4 4 5 6 7 9 10 10 12 10 7 6 6 6 5 5 9 13 17 18 14 8 4 5 6 10 4 -5 -1 5 5 3 3 4 9 12 3 -3 2 2 4 4 3 6 9 6 4 5 3 1 3 6 5 7 10 13 14 11 12 10 8 7 7 10 13 10 4 1 7 8 -5 -5 8 10 8 9 11 16 19 16 8 -3 -7 2 12 12 12 9 7 7 7 7 7 7 5 4 5 7 7 6 5 7 14 22 18 7 2 3 5 6 7 6 6 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 4 5 5 4 4 5 4 5 5 4 4 5 5 5 5 4 3 3 2 3 4 4 4 4 4 4 4 4 4 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 4 4 4 4 3 2 3 4 4 5 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 4 4 5 6 7 6 4 5 5 6 6 6 6 6 6 7 1 -3 4 5 5 5 5 5 5 6 6 6 6 6 8 9 8 6 6 7 7 7 8 9 5 4 5 6 6 7 7 6 6 5 5 6 7 7 7 7 7 7 7 7 7 8 7 7 6 5 7 12 15 15 11 8 6 5 5 6 7 7 6 5 5 5 5 6 5 5 6 6 6 6 6 6 7 6 5 5 4 4 4 4 4 4 4 5 6 7 8 8 7 7 7 8 10 10 10 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 8 8 9 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 9 8 8 9 8 5 2 2 2 3 4 4 6 7 8 10 9 8 6 5 5 5 5 5 4 5 5 5 4 4 4 5 5 4 4 3 4 4 5 5 6 6 5 5 4 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 7 7 7 9 11 13 14 17 22 29 35 34 19 6 3 -0 -6 -4 -4 -4 -1 1 1 2 3 3 4 5 6 8 9 10 11 12 12 10 8 6 5 3 1 3 8 12 14 14 10 9 8 12 11 8 6 3 -2 0 4 7 9 11 9 -2 5 9 0 4 4 4 6 5 3 5 5 4 3 5 7 7 9 11 13 14 13 16 12 9 6 5 7 10 8 3 4 12 9 -2 1 10 7 1 1 3 9 12 15 8 -2 1 13 14 9 9 8 6 6 7 7 7 7 6 5 6 6 6 6 6 10 20 24 15 4 2 3 6 7 7 6 5 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 4 4 5 5 5 5 5 5 4 5 5 5 5 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 4 4 5 4 3 2 3 4 4 5 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 7 8 9 8 6 4 4 4 5 6 6 6 6 7 10 7 2 4 5 6 6 5 5 6 6 7 6 6 7 8 9 7 6 6 6 7 6 7 5 1 4 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 7 7 6 5 6 9 12 13 11 9 7 6 6 6 6 7 6 5 5 6 6 6 5 5 6 6 6 6 6 6 7 7 7 6 5 5 4 4 5 5 4 4 5 6 8 8 8 7 8 8 9 9 10 10 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 6 6 6 6 6 6 6 5 5 5 4 3 3 4 4 4 5 5 6 6 6 6 6 6 7 7 8 8 9 10 10 10 9 9 9 9 10 12 12 12 11 10 10 10 10 9 7 4 2 2 3 3 4 4 6 7 9 10 8 7 6 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 3 4 4 6 6 7 7 6 5 5 3 3 3 4 4 4 5 5 4 4 3 3 4 3 4 4 4 5 5 6 6 7 8 10 13 15 14 16 22 29 30 28 21 12 5 2 -2 -6 -11 -12 -6 0 2 2 2 3 3 4 5 6 7 7 8 11 15 17 15 10 6 7 7 3 1 5 8 8 10 15 12 8 11 10 12 10 8 3 -1 1 7 11 8 3 6 15 11 2 4 5 5 4 3 3 6 7 6 5 6 7 7 7 8 7 10 15 15 7 8 10 10 10 7 3 -1 1 2 -3 1 9 12 10 5 3 -2 5 11 11 1 1 17 24 15 9 8 8 7 6 7 8 8 7 6 6 7 6 6 6 8 15 24 22 8 1 2 4 6 7 6 6 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 4 3 3 3 3 4 5 4 5 4 4 4 4 2 2 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 3 3 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 6 6 6 5 5 6 9 12 12 10 7 5 4 3 3 5 6 7 6 6 7 9 6 3 4 5 6 6 6 6 6 6 6 5 5 6 7 8 6 6 6 7 7 6 7 5 -3 1 7 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 6 8 10 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 4 4 5 6 7 8 8 8 8 8 9 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 3 3 4 3 4 4 5 5 5 5 5 5 5 5 6 7 8 8 9 9 10 9 8 9 10 11 13 12 12 12 12 11 11 10 9 8 6 5 5 5 4 4 4 5 7 9 9 8 6 5 5 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 5 6 7 8 8 7 6 4 4 3 3 4 4 4 5 4 3 3 3 3 4 4 4 5 5 5 5 6 8 12 16 18 15 14 19 25 28 24 15 8 7 7 8 6 3 -5 -5 -0 3 2 2 2 3 4 4 5 5 5 6 8 11 17 21 18 10 6 10 11 6 2 4 6 5 7 14 11 7 5 5 6 7 16 11 1 0 6 6 1 3 11 15 6 4 3 6 6 3 4 5 6 7 7 7 8 7 3 2 6 3 4 14 10 3 6 13 16 15 7 0 -3 1 4 -0 4 7 15 15 9 7 0 3 15 5 -2 11 29 29 16 9 7 8 7 7 8 9 8 7 5 5 5 6 6 6 9 19 25 17 4 0 2 5 6 6 6 6 6 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 4 4 3 3 3 3 4 5 5 5 4 4 4 3 3 3 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 5 5 7 7 7 7 7 6 6 6 6 5 5 5 6 10 14 16 11 7 5 5 4 3 4 5 7 6 5 6 6 7 2 -4 1 6 6 6 6 6 6 6 5 3 1 3 5 4 3 4 6 7 7 6 7 10 5 1 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 6 7 7 7 7 7 7 6 5 5 7 7 8 9 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 7 9 8 8 8 9 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 5 5 6 6 6 7 6 6 7 7 6 6 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 8 9 9 8 7 8 9 10 11 11 12 12 11 12 12 12 11 10 10 9 8 5 3 2 3 4 6 8 8 7 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 6 7 8 8 8 7 6 6 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 8 12 17 19 17 13 14 16 19 23 24 15 4 4 11 15 16 12 5 5 5 3 1 2 3 4 4 5 5 5 6 7 10 14 19 20 16 9 6 11 13 9 5 2 2 5 9 10 8 7 7 8 1 4 9 4 -1 6 9 5 -1 3 4 2 -1 3 3 5 6 4 5 4 4 5 6 7 9 8 3 1 6 5 2 9 7 6 3 12 17 11 6 2 0 4 11 17 15 4 7 11 13 4 -3 4 9 2 13 26 29 23 14 9 8 7 7 8 8 8 7 6 4 3 4 7 6 6 11 22 24 12 2 1 3 5 6 6 6 6 6 4 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 3 4 5 5 4 4 4 4 3 3 4 5 5 5 5 4 4 4 3 3 5 6 6 6 5 5 5 5 5 6 5 5 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 5 6 6 7 7 7 6 6 5 5 5 4 6 9 16 20 17 8 4 5 5 5 4 5 6 7 6 5 5 5 7 3 -4 -1 5 6 6 6 6 6 6 6 5 3 1 1 -0 -2 -2 2 7 7 7 5 8 10 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 6 7 9 10 11 10 9 7 7 7 6 6 7 7 7 6 5 5 5 6 5 6 7 7 7 6 5 5 5 5 6 6 6 5 5 5 6 6 7 8 8 8 8 8 9 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 6 5 5 5 5 6 6 7 7 6 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 6 7 7 7 7 6 6 7 8 8 9 10 10 11 11 12 11 12 12 13 13 11 8 4 2 1 2 4 6 7 7 6 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 3 3 4 6 7 8 8 8 8 9 9 8 6 4 3 4 5 6 6 6 5 5 5 5 5 5 4 5 7 13 19 21 17 11 10 10 8 9 18 25 21 9 4 10 15 15 11 7 5 3 1 1 1 3 4 5 5 5 5 8 12 15 16 17 15 14 11 9 12 14 12 9 4 2 4 8 8 6 3 3 4 2 3 -3 -5 1 11 12 5 -1 0 -0 -2 1 2 3 5 6 5 4 3 2 3 6 6 8 10 8 5 7 4 4 7 8 9 -2 5 12 5 4 5 4 7 12 19 16 2 -5 7 17 3 -3 12 3 -1 20 24 20 14 11 10 8 7 7 7 7 6 5 5 4 3 4 6 7 7 12 22 23 9 1 2 4 5 6 6 6 6 6 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 3 4 4 5 5 4 4 4 3 3 4 5 5 5 5 4 4 4 3 3 4 5 6 6 6 5 4 4 5 5 6 5 4 4 4 4 3 4 4 4 4 4 4 5 5 5 6 6 5 6 5 5 5 4 4 4 5 5 5 4 3 3 3 5 6 7 7 6 6 5 5 5 5 5 5 7 13 20 22 17 9 6 6 5 5 5 6 7 8 8 6 4 4 6 7 5 4 5 6 6 6 6 6 7 8 11 11 8 6 6 4 3 5 7 7 7 7 7 6 6 6 6 6 6 6 7 6 6 7 7 7 6 6 6 5 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 9 10 11 11 10 8 7 7 7 8 8 7 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 5 6 7 8 8 9 8 8 8 8 8 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 8 6 5 5 5 6 6 6 6 5 6 7 8 9 9 8 7 6 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 7 7 8 9 10 10 10 11 12 13 13 12 9 6 3 2 1 2 4 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 3 3 4 5 6 7 7 7 8 11 13 12 8 4 3 3 4 6 6 6 7 6 5 5 5 5 5 7 14 21 26 23 12 3 5 7 3 5 13 21 20 13 5 7 7 5 2 0 -1 -1 -1 0 2 3 5 5 5 5 6 11 16 16 13 11 11 12 13 11 13 17 16 12 9 5 3 3 6 2 -3 -2 -0 1 0 -3 -0 7 12 12 3 -1 1 1 2 3 -0 3 6 6 7 5 3 1 4 7 5 7 13 12 10 7 2 4 8 11 11 3 4 4 2 8 10 9 11 17 18 8 -5 -1 13 13 3 3 11 5 5 19 19 14 10 10 10 8 7 8 8 6 4 4 5 4 3 4 6 7 7 12 21 22 10 2 3 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 4 3 3 4 4 5 5 4 4 4 4 4 4 5 5 4 3 3 3 5 5 5 5 5 4 3 3 3 4 5 5 5 5 5 5 5 5 6 6 5 5 4 4 3 4 4 4 4 4 4 4 5 5 6 6 6 5 6 5 5 5 4 5 5 5 5 5 4 3 3 3 5 6 7 6 6 5 5 4 4 5 6 8 11 15 16 13 9 6 5 6 5 5 6 6 8 10 9 7 5 5 8 11 12 7 5 6 6 6 6 6 6 7 10 13 14 14 13 12 12 10 7 6 6 9 8 5 5 6 6 6 6 7 7 6 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 8 8 7 6 7 9 11 11 12 11 9 8 8 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 6 7 8 9 9 9 8 8 7 8 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 10 7 4 4 4 4 5 4 4 4 4 6 7 8 9 9 8 7 7 6 5 4 5 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 4 4 5 5 6 6 7 9 9 9 9 10 10 10 10 9 7 5 4 3 3 3 4 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 3 4 4 5 6 6 6 6 7 9 12 13 9 5 3 3 4 5 6 6 6 6 6 6 5 6 9 16 21 22 20 13 4 -2 4 8 3 4 9 13 10 6 1 -2 -3 -3 -5 -5 -5 -4 -2 1 3 5 6 5 5 7 10 15 16 11 8 8 8 7 8 8 10 17 20 15 11 8 5 6 9 4 2 5 9 5 -0 2 8 10 9 11 4 -0 2 4 3 -1 0 5 7 7 7 5 3 2 6 10 7 9 16 16 13 8 1 0 7 12 10 12 12 1 1 13 17 11 8 12 12 2 -5 8 25 12 4 12 13 9 14 20 18 12 10 11 11 9 8 8 7 5 4 4 5 4 3 4 6 7 8 11 19 21 12 4 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 5 5 4 4 5 5 4 5 5 5 4 3 3 3 4 4 4 5 5 4 3 3 4 4 5 6 6 5 5 5 5 6 6 6 5 4 4 4 4 3 4 4 4 5 4 5 5 5 6 6 6 6 6 5 5 5 4 5 5 5 5 4 4 3 3 3 5 6 7 6 5 5 4 4 4 6 9 12 15 14 8 1 -1 1 5 6 5 4 5 6 7 6 4 3 4 7 11 15 12 5 6 6 6 7 7 6 6 6 7 9 11 11 10 9 10 10 8 6 5 7 7 6 5 6 6 6 6 7 7 6 6 7 7 7 7 6 6 6 6 6 6 6 5 6 6 6 6 5 6 6 7 8 8 8 7 8 10 11 12 13 12 11 11 10 10 10 9 8 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 6 5 4 5 6 6 7 9 9 8 9 8 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 9 8 5 3 2 3 4 3 3 4 4 5 6 7 8 9 9 8 7 7 6 5 6 7 8 8 9 9 9 8 8 8 7 7 7 6 5 5 4 4 4 3 4 5 6 7 7 8 8 8 8 8 8 7 7 7 7 6 5 3 3 4 6 6 5 5 4 5 5 5 5 4 4 4 5 5 4 4 3 3 4 4 4 5 6 6 6 6 7 9 10 8 5 3 3 3 3 4 5 5 5 6 5 6 14 23 25 20 12 6 2 1 2 6 7 6 4 4 5 1 -9 -17 -18 -13 -9 -8 -8 -7 -5 -2 2 4 6 6 5 9 13 17 17 13 8 7 9 9 6 4 2 3 13 20 15 9 9 8 12 15 9 5 6 8 9 9 8 10 9 5 12 5 -2 1 6 3 0 3 6 7 6 5 3 2 5 10 11 9 8 13 16 12 7 1 -1 6 9 6 10 15 4 2 8 13 7 2 4 6 6 5 10 20 15 17 24 19 23 28 20 15 11 10 11 10 9 9 8 6 5 4 5 5 3 2 4 6 8 8 12 19 20 12 5 5 5 5 6 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 4 5 5 5 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 3 4 5 5 5 5 6 5 5 6 7 7 6 5 4 4 4 4 3 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 5 6 6 6 5 4 4 4 5 9 14 19 18 13 4 1 -1 2 5 5 5 5 4 5 4 -1 -4 -2 2 8 14 17 9 5 6 7 7 7 6 6 6 7 8 8 8 6 5 7 9 9 7 6 5 5 5 5 5 6 6 6 6 6 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 8 8 8 8 9 11 13 13 12 12 12 12 11 10 9 8 8 7 7 7 8 8 7 8 8 7 7 6 6 7 8 8 7 5 4 4 4 4 6 7 8 8 9 9 8 7 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 8 8 6 3 2 2 3 4 3 3 4 5 5 5 6 7 8 9 8 6 6 7 7 9 9 9 9 9 9 9 9 8 8 7 6 6 7 6 5 5 5 3 3 3 4 4 5 6 7 8 7 7 7 7 7 7 8 8 7 5 3 4 6 6 6 5 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 5 5 5 5 5 4 3 3 3 3 4 5 5 5 5 6 14 26 30 21 10 2 -1 1 4 5 4 11 16 10 1 -3 -4 -14 -25 -24 -14 -10 -8 -7 -6 -3 -0 3 5 7 7 9 15 20 17 11 7 7 9 11 12 9 6 4 2 6 14 13 7 9 8 9 10 5 4 9 9 11 10 9 10 9 8 11 5 -3 2 5 4 3 4 4 4 3 2 1 2 7 11 8 7 3 8 11 6 5 2 1 5 6 6 10 11 3 -2 1 7 5 -2 -3 2 10 13 9 11 19 29 30 24 29 29 18 11 9 8 7 8 10 9 6 6 5 4 5 5 3 2 4 6 7 9 15 21 18 8 5 6 6 6 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 5 6 6 5 4 5 5 5 4 4 5 5 4 3 3 4 4 4 4 4 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 4 4 4 4 3 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 2 3 4 5 5 5 5 4 3 3 5 9 15 22 24 18 9 4 5 4 5 6 5 5 5 5 4 2 -3 -5 -3 2 10 17 15 6 6 7 7 7 7 7 6 6 7 8 8 7 5 4 7 9 8 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 6 6 5 5 6 8 10 9 8 8 10 12 13 13 13 12 12 12 10 9 9 8 8 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 7 6 5 4 4 4 5 7 8 8 9 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 8 6 5 4 4 4 4 4 4 5 6 6 5 5 6 7 8 7 6 6 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 7 4 2 2 3 3 4 5 6 7 7 8 8 7 7 7 8 8 7 6 6 8 7 6 5 5 5 4 5 5 6 5 5 4 4 4 4 4 4 3 4 4 4 5 5 6 5 5 4 4 4 4 4 4 4 5 6 6 5 4 5 13 23 24 16 10 4 0 1 3 5 1 5 18 27 22 8 -0 -1 -5 -13 -14 -9 -7 -6 -5 -3 -0 3 6 8 9 10 15 19 18 11 7 7 9 10 12 13 12 11 10 5 -1 4 9 7 7 7 7 9 3 6 9 9 9 7 8 8 7 13 9 3 -1 3 5 5 5 4 3 5 4 1 1 3 7 9 6 2 2 9 8 4 2 -0 -2 -0 4 6 6 6 1 -2 5 12 13 -1 -7 -1 8 12 12 16 23 27 25 23 23 19 13 10 8 6 6 8 10 9 7 6 4 4 5 4 3 2 3 5 6 8 15 21 16 7 4 5 6 6 5 4 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 4 5 6 6 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 5 4 4 3 3 3 3 3 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 4 3 2 2 3 4 5 5 4 4 4 3 4 8 15 22 27 25 14 3 4 7 7 6 5 5 4 5 5 4 2 0 0 2 6 13 18 11 6 6 7 7 7 7 7 7 7 7 8 9 6 4 6 8 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 8 10 9 8 8 10 11 12 12 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 8 9 8 8 7 7 7 8 9 8 7 6 5 5 6 6 7 7 7 8 8 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 8 7 6 5 6 7 7 6 6 7 6 5 5 5 6 7 7 7 6 6 7 8 9 9 8 7 7 7 7 7 7 7 7 7 8 9 10 12 12 10 6 3 2 2 3 3 4 5 6 7 8 8 8 6 6 7 8 8 8 9 10 8 6 5 6 5 4 4 5 6 6 5 5 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 7 8 8 6 5 11 24 27 14 5 5 3 3 4 6 4 -2 7 20 29 27 12 2 1 -3 -8 -9 -8 -5 -3 -1 1 4 7 9 11 11 15 18 17 13 11 7 6 8 10 12 12 13 14 13 7 -0 -0 4 6 5 5 11 10 6 4 2 4 6 9 11 7 7 13 4 1 3 1 4 7 8 6 6 10 7 1 0 4 5 7 8 0 2 8 7 8 3 -2 -5 -3 2 3 0 3 6 6 9 15 14 2 -3 3 7 11 15 19 20 21 19 17 15 13 11 8 6 5 6 8 9 8 7 6 5 4 4 4 3 3 3 4 6 8 12 16 16 12 6 5 6 6 5 4 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 5 4 5 5 5 5 5 5 5 6 6 8 7 7 7 6 5 5 4 4 4 3 3 4 3 4 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 5 5 4 4 3 2 2 3 4 4 4 4 3 3 4 7 13 21 28 30 22 8 2 5 7 7 6 5 5 5 4 4 4 2 3 4 5 9 16 16 8 5 6 7 7 7 7 6 7 7 8 8 7 5 4 7 9 8 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 7 7 8 7 7 8 8 7 6 6 7 9 10 9 8 8 8 10 11 12 12 12 13 13 12 12 12 12 10 9 9 9 9 9 8 9 9 8 8 7 7 7 7 8 7 7 6 7 8 9 9 9 9 8 7 8 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 9 7 6 7 11 15 15 11 8 7 6 5 5 5 5 6 7 7 6 6 7 8 9 9 9 8 7 6 6 5 5 5 6 7 7 8 10 12 12 11 8 4 3 3 4 4 5 5 5 6 7 8 7 6 6 7 7 8 9 10 11 9 6 5 6 5 5 4 5 6 6 7 6 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 5 6 7 8 8 8 12 21 25 16 6 2 -2 -2 4 8 7 2 -3 7 14 15 13 -0 -9 -13 -18 -18 -12 -7 -3 -1 2 4 6 10 13 13 13 17 17 14 14 15 11 7 5 6 9 11 14 14 12 7 2 3 4 5 4 5 7 2 4 5 6 8 12 14 12 9 8 10 1 0 5 2 1 6 7 7 12 15 9 2 3 4 2 6 9 3 5 7 8 8 4 2 0 1 4 4 3 6 9 10 9 7 6 5 4 7 5 10 15 17 17 17 16 14 12 11 9 5 4 6 7 8 8 8 7 6 5 4 4 4 4 4 4 4 6 8 10 13 17 17 10 5 6 6 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 3 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 7 7 6 6 5 5 5 4 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 5 6 5 5 5 6 6 6 5 4 4 4 3 3 3 3 3 4 4 3 3 4 6 12 19 26 30 26 14 5 5 6 7 6 5 5 5 6 5 4 3 3 4 5 7 11 14 10 6 5 7 7 7 7 7 6 7 7 8 8 6 4 5 8 9 7 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 6 7 9 11 10 7 6 7 9 10 10 11 12 12 13 13 13 13 13 12 11 11 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 8 9 10 11 11 10 10 8 8 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 11 10 8 6 6 9 17 24 23 14 8 6 5 5 6 6 5 6 6 7 6 6 7 8 8 8 8 7 6 5 5 4 4 5 5 6 6 8 9 11 11 10 8 6 5 5 6 6 6 5 5 4 5 6 7 7 7 7 7 7 8 10 11 9 7 7 7 7 6 5 5 6 7 8 7 5 4 4 4 4 4 4 4 5 5 4 3 3 4 5 5 5 4 4 5 7 7 7 8 14 19 18 8 0 -2 -5 -6 -0 8 12 9 1 -5 -4 4 5 -3 -18 -24 -27 -24 -16 -7 -2 1 3 5 7 9 12 15 16 17 19 15 11 15 19 15 8 3 2 6 13 14 12 9 6 1 2 6 7 6 7 2 -5 1 7 8 6 13 10 9 12 12 8 3 4 5 4 1 2 4 8 12 12 5 5 8 4 2 7 7 2 3 4 5 2 5 12 12 9 9 8 6 9 12 9 8 3 1 4 4 5 7 12 14 14 14 14 13 11 11 10 8 4 5 6 8 9 8 8 7 7 6 5 4 3 4 4 4 4 6 8 9 11 19 22 11 3 4 6 6 6 5 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 3 2 2 3 3 4 5 5 5 5 5 4 5 6 6 6 6 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 3 3 4 3 3 4 4 4 4 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 6 10 17 24 26 24 14 1 -0 4 6 6 6 6 5 5 6 5 3 2 4 6 7 9 13 12 7 5 6 7 6 7 7 7 7 6 7 8 8 5 4 5 8 9 6 3 3 4 4 5 5 5 5 4 5 5 6 6 6 6 5 5 5 6 7 7 8 8 8 8 8 8 8 7 8 7 7 8 8 7 7 8 9 11 10 8 6 6 7 8 9 9 10 11 12 13 14 14 13 13 12 11 11 11 10 10 10 9 9 9 8 8 9 8 8 8 8 8 9 10 10 11 11 11 10 9 9 9 9 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 8 6 5 5 9 16 23 19 9 5 5 5 6 7 8 7 6 6 6 6 5 6 7 7 6 5 5 4 4 4 4 4 4 5 5 7 8 10 11 11 9 8 7 7 7 8 9 8 6 5 5 4 5 7 8 8 9 8 7 7 8 9 9 9 8 7 7 6 6 6 7 7 8 7 6 5 4 4 4 4 4 4 5 5 4 4 4 5 6 6 6 5 6 7 7 6 6 8 12 11 2 -6 -7 -11 -7 6 14 16 13 10 5 -2 -9 -1 3 -7 -15 -14 -12 -7 -2 3 5 6 7 8 10 12 17 23 24 24 20 13 8 12 16 14 8 3 1 5 11 12 12 9 8 3 2 4 5 7 8 3 -1 1 5 4 2 8 3 4 13 12 7 8 10 8 7 6 4 6 10 12 7 3 8 9 4 5 8 5 1 0 4 4 -0 11 23 21 17 18 16 13 14 13 5 7 7 4 3 2 6 13 15 13 12 12 10 7 8 10 10 8 6 6 6 7 8 8 7 8 8 8 7 5 4 4 4 4 4 6 7 7 12 23 24 11 1 2 6 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 3 3 3 4 4 4 5 5 5 4 4 5 6 6 6 6 6 5 4 4 4 4 4 5 6 5 4 4 5 5 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 3 3 5 6 9 14 21 25 23 15 3 -4 -1 2 3 5 6 5 5 5 6 5 3 3 5 6 7 11 15 15 9 5 6 6 6 6 6 6 6 7 8 8 7 5 4 5 8 7 5 4 4 5 5 6 6 5 5 4 5 6 6 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 7 8 9 11 11 8 6 6 6 7 7 8 8 8 10 11 12 12 13 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 6 5 5 7 10 12 8 4 4 5 7 8 10 10 9 7 7 7 7 7 7 6 5 5 3 3 3 2 3 4 4 4 5 6 8 10 12 12 12 10 10 10 10 10 10 9 8 8 8 7 6 6 8 9 9 9 8 7 6 6 7 7 7 7 6 6 6 7 7 7 8 8 8 6 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 8 6 7 9 9 7 2 -3 -3 -4 -5 5 17 17 14 9 7 7 1 -5 -0 4 2 6 10 12 12 10 9 9 10 10 10 13 18 25 30 29 25 19 10 5 8 11 10 8 4 2 3 7 8 10 9 12 10 8 4 1 6 8 4 5 4 3 6 7 3 -2 -3 5 5 5 10 12 8 7 9 11 11 14 15 6 4 8 7 7 10 9 4 4 9 10 6 3 15 22 19 14 13 16 17 14 6 2 9 12 7 4 8 13 18 17 14 11 8 4 3 6 9 9 8 7 7 5 5 7 7 7 9 10 10 8 6 4 4 4 4 4 5 5 7 15 21 19 12 5 3 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 3 4 4 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 4 4 5 5 6 6 6 5 5 5 5 5 6 6 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 5 7 12 18 23 23 17 9 3 5 3 -1 1 5 6 6 5 6 6 5 3 3 5 6 8 13 18 17 11 7 6 6 6 6 6 6 6 7 8 8 7 4 4 6 8 7 4 4 5 5 6 6 5 5 5 5 6 7 7 7 6 6 5 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 10 11 10 7 6 6 6 6 6 7 7 8 9 10 10 11 11 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 5 7 7 6 6 7 8 7 6 5 7 7 9 10 11 11 10 8 7 7 8 8 8 6 5 4 3 3 3 3 3 4 4 4 6 8 10 12 13 13 12 11 11 12 11 10 9 7 8 10 12 11 10 9 8 9 8 7 8 8 7 6 5 5 5 6 6 5 6 7 8 9 10 10 8 7 6 5 4 4 4 5 5 6 6 7 7 8 8 7 7 8 8 8 7 6 12 16 12 6 2 2 4 5 6 10 13 11 7 3 6 7 5 2 4 7 10 17 19 19 17 14 13 12 11 9 9 15 23 25 23 19 17 13 8 5 7 8 9 8 6 4 4 5 4 6 10 12 9 9 6 4 7 6 3 7 8 4 8 10 -1 -2 -0 0 2 7 9 7 5 4 9 16 19 18 11 3 4 6 6 8 10 8 5 8 13 12 8 5 10 14 14 5 -1 8 14 7 -3 -1 11 13 3 4 15 18 16 15 12 9 5 2 5 7 7 8 8 8 7 4 4 6 6 7 10 11 9 8 7 5 4 4 4 3 4 5 7 12 14 15 16 13 8 4 4 5 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 4 5 4 4 3 3 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 5 6 9 14 21 23 18 12 7 7 8 0 -2 3 7 7 6 6 7 5 3 3 4 5 6 10 15 18 13 8 7 6 5 6 6 6 6 7 8 9 9 7 4 4 7 8 6 4 4 5 6 6 6 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 8 9 9 9 8 7 6 6 5 5 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 7 8 7 7 8 8 9 9 9 8 9 9 10 10 11 10 9 8 8 9 10 10 9 7 6 5 4 3 2 3 4 5 4 5 8 10 12 13 12 11 11 11 11 9 7 5 6 9 12 14 14 12 10 8 8 7 7 7 8 8 7 5 5 5 6 6 6 6 7 9 12 13 13 10 7 6 5 5 5 5 4 5 6 6 7 8 8 9 10 9 9 8 7 6 7 10 7 3 4 4 5 5 6 6 7 11 10 3 3 9 14 15 12 7 7 10 14 16 16 16 16 16 14 9 4 8 17 21 16 11 9 10 10 6 5 6 9 10 9 6 6 5 4 3 4 9 10 8 6 5 7 8 5 4 7 7 9 14 14 2 3 4 1 5 7 7 5 3 5 11 16 18 12 4 2 5 5 5 5 6 5 5 7 9 11 11 7 5 10 12 3 -1 9 11 4 -4 -5 5 11 5 6 15 15 12 10 8 7 6 6 7 8 9 10 9 8 4 2 5 7 7 8 10 10 9 9 8 6 4 4 4 4 4 5 7 8 9 12 15 15 14 11 5 4 5 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 6 5 5 4 4 4 5 5 5 5 5 6 5 5 5 5 5 6 6 7 7 6 5 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 4 4 4 3 4 4 4 4 5 6 7 10 16 22 21 14 9 6 4 0 -2 2 6 7 7 6 7 6 4 2 3 4 6 8 12 17 16 9 7 7 6 6 6 6 6 7 7 8 9 8 6 4 5 8 8 5 4 5 5 6 6 5 5 5 6 6 7 7 7 7 6 5 5 4 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 7 7 8 9 10 9 7 6 6 5 4 4 5 6 7 8 7 8 7 8 8 8 9 9 9 9 9 10 10 10 9 9 8 7 7 7 6 7 7 8 9 9 10 10 10 10 10 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 7 7 7 7 7 8 9 8 8 8 7 8 9 10 9 9 7 8 9 10 12 13 11 9 7 5 3 2 2 3 4 4 4 6 9 11 12 11 10 9 10 9 7 5 5 6 10 12 13 12 11 8 7 7 7 7 7 7 9 8 7 6 6 6 6 7 7 7 9 13 16 16 11 8 6 6 6 6 5 4 5 6 7 7 7 8 9 10 10 9 7 6 6 7 5 -0 1 5 6 5 5 5 5 8 15 10 -1 4 15 20 17 12 9 7 6 8 9 9 11 15 16 11 3 3 13 19 15 9 7 8 11 11 8 6 5 9 12 11 8 8 7 5 3 2 6 8 11 6 2 5 7 5 8 11 8 9 13 12 7 7 6 7 5 7 8 5 4 8 15 15 11 4 1 3 5 4 3 4 5 5 4 4 7 10 9 9 9 12 9 -2 8 19 11 5 -2 -7 -1 11 15 12 10 10 10 6 4 8 12 12 9 9 11 12 9 5 2 3 7 10 11 11 10 9 8 8 7 7 6 4 4 5 6 5 6 7 8 9 10 13 19 18 9 5 5 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 4 4 4 4 5 4 4 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 5 6 7 11 17 21 17 11 8 5 2 -0 2 6 7 6 6 6 6 6 4 3 3 5 7 10 14 16 12 7 6 6 6 6 6 6 6 7 8 8 9 8 5 4 6 8 7 5 4 5 5 5 6 6 5 6 6 6 7 8 8 8 7 5 4 4 4 5 5 5 4 4 4 3 4 4 5 5 5 4 5 5 6 6 6 6 6 6 6 7 8 9 9 9 8 7 6 5 4 4 5 5 6 7 7 6 6 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 7 6 6 6 7 7 7 7 8 8 9 10 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 5 5 5 4 4 5 6 6 6 6 7 8 8 8 8 8 8 8 10 13 15 15 12 8 4 1 0 2 4 4 3 4 5 7 9 11 11 10 8 7 8 7 6 7 8 8 8 7 7 7 6 6 8 8 8 8 8 8 9 8 8 8 7 8 8 8 8 10 14 17 17 14 10 7 7 7 6 5 4 5 6 7 6 6 6 7 8 7 7 6 6 6 6 6 7 8 7 6 6 6 6 5 10 14 6 -2 6 20 25 21 9 -0 -5 -4 0 2 3 5 8 9 6 5 12 19 17 10 6 6 9 12 12 11 10 7 9 12 13 10 9 8 5 4 3 4 6 10 6 3 5 5 7 11 13 9 7 5 5 7 7 11 12 7 10 6 3 7 14 18 15 10 3 -1 2 3 3 3 6 8 8 5 5 9 10 6 7 11 13 5 -2 14 19 8 4 -1 -6 -1 13 21 18 11 9 9 4 3 9 15 14 11 9 11 11 7 3 3 6 10 13 13 12 10 8 8 8 7 7 6 5 6 7 6 5 5 6 7 7 7 11 18 16 8 10 12 6 3 4 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 6 6 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 6 6 8 12 17 19 15 9 6 4 2 2 4 6 7 5 6 6 6 6 4 4 4 5 8 10 12 10 6 5 6 6 6 6 7 7 7 7 8 9 9 7 4 4 7 8 6 4 4 4 5 6 6 6 6 6 6 6 6 8 10 10 9 6 3 3 4 5 5 5 4 3 3 2 3 4 5 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 8 8 7 6 5 5 4 3 4 5 6 5 5 6 6 6 5 5 6 6 6 6 7 7 8 8 7 7 7 6 6 5 5 5 5 5 6 6 7 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 1 6 14 19 18 14 9 10 14 17 17 17 20 16 11 7 5 5 8 8 8 12 20 24 24 16 8 1 6 10 15 19 19 19 17 12 10 10 10 10 10 12 14 14 12 11 11 12 14 16 18 20 22 22 21 21 20 16 12 8 6 8 10 10 11 11 11 9 9 13 18 17 11 9 9 12 14 15 15 15 14 15 17 17 15 13 11 11 11 11 11 10 10 11 11 11 12 13 13 12 10 9 9 9 9 11 14 15 14 14 14 14 15 14 14 13 12 10 9 10 10 11 11 11 12 11 11 11 12 14 13 12 11 10 10 11 11 10 9 10 10 10 10 9 10 10 11 11 11 10 9 9 11 13 14 13 13 13 13 12 11 10 11 12 11 11 11 11 11 11 11 11 12 13 12 12 11 10 9 10 12 15 16 14 12 11 11 11 11 11 11 10 11 12 12 12 11 10 10 11 12 12 11 12 13 13 13 13 12 12 12 11 11 10 11 12 13 14 14 13 11 10 10 11 13 13 12 13 13 12 12 13 14 13 12 12 12 12 11 10 9 8 9 12 14 13 12 12 11 12 11 12 12 11 11 11 11 12 11 11 12 13 13 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 12 11 11 11 11 12 12 12 12 11 12 12 12 13 13 12 11 9 9 10 7 6 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 14 13 14 14 14 14 14 13 13 13 12 11 12 12 12 13 13 12 13 13 12 13 13 13 12 11 11 12 13 13 14 14 14 14 14 14 13 13 14 15 13 10 8 6 6 7 11 11 12 12 12 12 13 13 13 14 14 15 17 16 15 17 20 21 18 15 14 13 12 11 11 11 10 11 13 16 19 20 17 14 14 15 14 13 13 12 12 12 12 13 12 12 12 12 12 13 12 13 12 12 12 13 14 14 12 12 12 13 14 14 15 15 14 13 13 14 16 18 17 18 15 14 14 13 12 11 13 14 13 12 10 10 10 11 12 12 12 12 13 14 13 13 12 12 12 12 12 12 13 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -4 3 11 15 17 14 12 9 9 12 19 15 4 6 10 18 21 17 8 2 4 13 20 21 21 18 16 13 10 8 8 9 11 12 13 14 15 15 14 13 14 15 17 20 20 19 18 18 19 19 16 12 9 8 9 10 10 9 10 11 11 11 13 16 18 15 11 11 12 13 15 17 18 17 15 13 15 16 14 12 11 11 11 9 8 8 9 10 11 12 13 14 13 12 11 10 9 9 9 10 11 12 12 12 13 13 15 17 17 14 12 11 12 12 12 13 13 11 11 11 11 11 12 12 11 10 10 10 10 10 9 10 10 9 10 10 10 11 12 13 12 12 11 10 10 11 11 12 11 11 11 11 12 12 12 11 11 11 11 11 11 10 11 11 11 12 12 12 12 10 9 7 7 9 13 17 17 16 14 12 11 11 11 10 10 11 12 12 12 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 9 10 12 13 14 13 12 10 9 10 11 13 14 13 12 11 10 12 14 14 12 12 12 13 13 13 10 8 9 11 13 14 14 14 13 12 12 12 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 12 11 11 11 12 12 12 12 12 12 12 11 10 8 7 11 12 12 11 11 12 12 11 10 11 11 11 11 12 11 10 11 11 11 10 11 11 12 12 12 12 12 13 13 13 13 14 14 13 13 13 13 12 11 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 11 12 13 13 14 14 14 15 15 16 17 17 16 12 9 6 5 7 8 10 11 12 12 12 12 13 13 15 15 14 15 16 17 18 18 19 19 17 15 13 13 13 12 12 11 10 10 10 11 12 12 13 12 12 13 13 14 14 13 13 13 13 12 13 13 12 12 12 12 13 13 12 11 11 12 13 14 13 13 13 13 14 14 13 14 15 14 13 13 15 16 17 17 14 13 12 14 14 13 13 14 13 12 10 10 10 12 12 12 12 12 12 12 13 14 13 12 12 12 12 12 12 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 14 15 19 11 7 7 10 9 7 1 -1 -0 12 22 28 25 20 14 11 10 9 9 11 13 14 15 15 16 16 16 15 15 12 11 12 14 15 12 10 11 11 12 12 10 9 8 9 12 13 10 10 10 11 11 13 16 19 15 10 9 10 11 11 12 13 12 10 9 11 14 14 12 10 9 10 9 8 8 9 10 10 11 13 14 15 14 12 11 11 11 10 10 10 10 10 11 12 13 14 15 16 15 14 14 14 14 13 13 12 11 11 11 10 10 10 10 9 9 11 12 11 10 10 10 10 10 10 10 10 11 12 13 13 12 11 11 10 10 9 10 11 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 9 12 15 17 18 16 14 12 12 11 11 11 11 12 12 12 13 13 12 11 11 11 11 12 11 11 11 12 13 13 12 12 13 12 11 11 12 13 13 13 11 9 10 10 12 14 14 13 11 10 11 13 13 12 12 12 13 15 16 13 11 9 9 9 11 12 14 15 14 13 11 11 12 12 13 13 13 12 12 11 12 12 13 12 12 12 12 12 12 12 13 12 12 11 11 11 12 12 12 12 12 12 12 11 11 12 12 11 12 12 11 11 9 9 10 9 9 11 13 13 13 13 13 13 12 11 10 9 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 12 13 13 12 12 13 14 13 13 13 12 12 12 11 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 12 13 13 14 14 14 16 17 18 19 19 16 11 9 9 11 12 13 13 12 13 13 13 13 14 15 15 16 16 16 16 17 17 17 18 16 14 12 12 12 12 11 11 11 11 11 11 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 13 12 12 13 12 12 13 13 12 12 13 14 14 14 13 13 12 13 13 13 13 13 13 13 13 14 15 17 18 16 13 13 13 14 14 14 15 15 13 12 11 11 11 12 12 12 12 13 13 12 13 12 12 12 13 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 8 7 8 13 20 22 20 15 10 9 7 8 10 12 14 16 15 16 16 15 14 13 14 14 11 6 5 5 8 8 6 5 5 6 7 8 8 8 10 13 14 12 11 10 9 10 12 18 19 14 10 9 8 7 6 7 9 10 9 9 10 12 15 14 11 9 9 10 11 11 11 11 12 13 14 15 15 13 12 12 11 12 12 12 12 12 12 11 10 11 12 12 13 15 14 13 13 13 13 12 12 11 10 10 10 11 10 10 9 9 12 13 12 11 11 11 10 10 10 10 10 10 11 12 11 11 11 11 11 10 11 11 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 9 7 8 10 14 20 21 16 13 13 12 12 11 11 11 12 13 13 13 12 12 12 11 11 11 11 11 10 10 12 13 13 12 13 13 13 13 13 12 12 12 11 10 10 10 11 13 13 12 11 11 12 12 12 13 12 13 12 13 14 15 13 10 8 8 9 9 11 13 14 13 12 12 12 12 13 13 13 13 12 11 12 13 13 12 12 12 12 12 12 12 13 13 12 12 12 12 12 11 12 13 13 12 12 13 13 13 12 12 11 10 10 11 10 9 9 10 11 12 14 13 13 13 13 13 12 11 11 10 9 10 10 10 10 10 9 10 11 12 13 13 13 12 12 12 13 13 12 12 12 13 13 13 13 12 12 13 13 13 12 12 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 15 17 19 18 17 15 13 12 10 11 14 15 14 13 13 13 14 14 14 14 15 16 16 16 16 16 16 16 16 16 15 13 12 12 12 12 12 12 12 12 11 11 12 11 11 12 13 12 13 13 13 12 13 13 12 12 13 12 12 13 13 14 14 14 13 13 13 14 15 15 14 14 13 12 13 14 13 13 12 12 13 13 14 16 17 16 14 14 13 13 12 12 14 15 15 13 12 11 12 13 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 6 7 8 9 12 14 15 15 14 14 15 14 13 12 13 13 14 12 9 7 8 10 11 12 13 10 8 8 10 13 13 13 15 14 13 12 12 12 14 18 18 12 10 9 8 7 6 7 8 9 9 10 11 12 14 15 14 12 10 10 13 15 16 15 14 14 14 15 14 13 12 12 11 12 13 14 14 13 12 11 10 9 10 10 12 15 13 12 11 11 11 10 11 10 10 10 11 10 10 9 8 9 12 13 11 11 11 11 11 11 10 10 9 10 9 10 11 11 12 12 11 11 11 11 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 10 7 5 7 17 24 20 17 14 12 12 11 12 12 12 12 12 13 13 12 12 12 12 12 12 11 8 8 10 12 12 11 12 13 13 14 14 13 11 10 10 10 11 11 12 11 12 11 10 10 11 11 12 12 12 12 12 12 13 13 13 11 10 9 9 8 9 10 11 13 13 12 12 13 13 14 14 14 14 13 12 14 14 14 13 12 12 12 11 12 12 12 13 13 13 12 12 12 13 13 14 15 15 15 15 14 14 14 13 12 11 12 13 12 11 11 11 12 12 12 12 12 12 13 12 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 14 13 13 12 12 11 11 11 11 11 12 12 13 14 14 14 14 14 14 13 12 14 16 17 15 14 12 12 11 10 11 13 14 14 13 12 13 14 14 14 14 15 15 16 16 16 15 15 14 15 17 17 16 14 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 13 12 12 11 12 13 13 13 14 14 14 14 15 13 13 13 13 13 14 15 14 13 13 14 14 13 13 13 13 13 13 14 13 14 14 14 14 13 13 10 10 10 12 14 14 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 17 22 34 43 44 37 28 21 18 15 9 4 5 9 13 16 17 17 17 17 19 21 22 23 22 19 16 13 11 12 14 15 14 11 9 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 4 3 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 0 0 0 4 23 32 22 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 28 34 38 43 51 62 75 92 108 115 116 119 120 110 92 72 50 26 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 16 10 13 22 25 26 37 51 69 83 88 83 79 77 77 84 96 92 80 83 113 143 149 146 147 152 154 151 149 147 149 150 149 144 144 141 138 132 134 134 130 123 117 119 132 150 162 168 172 166 153 144 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 9 12 20 31 37 37 31 24 17 12 3 0 1 6 12 14 14 14 13 11 12 16 18 19 20 18 15 11 8 7 9 12 13 12 11 10 7 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 5 5 5 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 17 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 22 34 43 49 54 60 68 78 92 102 106 110 118 123 117 101 82 61 44 32 23 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 3 1 2 6 11 18 38 64 81 91 94 90 87 92 104 114 110 103 111 134 146 146 143 142 143 144 144 144 148 155 157 154 147 143 137 132 129 134 135 130 123 118 118 131 148 153 155 157 153 145 142 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 5 9 18 25 28 29 27 21 13 6 1 1 5 10 12 11 11 12 12 11 13 14 16 17 18 15 12 9 9 10 12 13 12 12 12 10 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 6 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 4 16 29 43 54 60 63 64 64 71 83 90 94 102 113 121 120 111 97 79 62 50 33 22 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 2 1 0 1 7 18 28 42 64 81 94 104 106 100 96 102 112 117 117 122 133 139 139 138 137 137 139 139 134 132 136 142 143 140 139 135 131 132 136 138 133 126 118 114 121 133 140 138 136 134 134 140 150 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 4 4 5 10 16 19 21 22 20 17 12 8 5 7 11 12 11 10 12 12 10 11 12 12 13 13 12 12 12 11 11 12 13 12 11 9 9 7 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 4 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 1 10 25 39 52 61 66 68 62 53 53 63 72 77 90 103 112 115 112 104 90 72 46 25 19 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 6 18 42 67 78 72 73 77 88 107 116 111 101 95 100 110 117 126 132 134 135 133 132 132 135 134 127 122 122 125 130 137 138 138 140 140 141 143 142 136 126 116 113 118 126 127 124 122 123 135 153 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 7 5 4 5 11 12 13 16 18 18 17 15 12 13 16 17 16 14 12 10 8 9 10 11 11 11 11 12 13 11 10 10 10 10 9 8 8 8 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 27 42 53 59 64 67 61 44 35 41 50 58 75 88 96 102 104 102 93 80 58 31 23 16 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 18 46 77 93 99 89 77 65 74 102 119 118 108 96 92 96 106 123 132 131 127 126 127 128 131 131 127 122 116 112 113 121 132 137 141 144 146 147 146 146 140 127 117 116 120 122 121 118 117 126 149 180 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 10 8 8 8 11 11 8 10 14 16 17 17 16 16 17 19 20 18 13 10 8 8 9 10 11 12 13 14 13 11 8 6 6 6 7 8 8 8 5 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 2 3 3 3 3 2 2 3 3 3 3 3 2 1 1 1 1 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 33 46 51 54 62 62 42 22 25 38 45 59 71 78 84 88 90 88 82 71 44 28 19 12 4 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 25 34 40 42 66 87 88 84 79 73 62 63 84 109 118 111 100 94 95 102 117 131 132 125 122 124 127 130 132 131 126 118 108 101 99 105 116 124 132 142 148 151 154 153 140 125 120 119 120 121 118 116 120 142 176 nan nan nan nan nan nan nan nan nan 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 8 10 11 14 14 14 12 8 7 9 12 14 15 14 13 14 15 17 16 13 10 9 8 8 9 10 10 12 13 13 11 7 4 3 2 2 4 5 5 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 1 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 26 33 38 52 59 42 16 10 28 36 46 54 61 65 70 74 76 76 73 65 43 25 15 9 8 10 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 26 46 59 70 73 88 90 75 64 63 62 62 60 70 96 113 110 102 102 103 105 118 132 136 130 123 123 126 129 130 132 129 122 111 101 94 90 91 99 109 123 140 152 161 164 155 134 123 120 120 121 120 119 124 142 168 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 0 2 5 9 13 14 16 14 10 7 7 9 10 11 11 10 9 10 12 13 12 11 11 11 10 8 7 6 7 9 10 8 5 3 2 1 0 1 2 3 3 3 2 2 1 2 2 3 2 2 1 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 7 16 34 46 36 12 2 14 23 31 38 45 48 52 57 60 61 62 60 49 32 19 13 11 12 14 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 30 46 53 65 78 85 91 81 66 56 54 54 59 63 68 87 107 111 107 106 109 112 122 134 136 132 125 121 121 122 122 124 125 124 117 108 101 95 89 88 95 106 120 136 153 164 167 154 135 124 120 120 122 125 130 142 160 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 1 4 7 11 16 13 8 7 7 8 8 8 8 7 6 6 8 10 11 11 12 12 10 8 7 6 4 4 5 4 3 3 3 2 1 1 2 3 3 3 2 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 30 23 6 0 2 6 14 22 27 31 34 38 42 44 43 44 42 32 22 15 12 9 4 5 8 4 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 12 24 34 42 52 66 76 80 74 65 56 51 52 60 69 74 83 100 114 118 112 109 110 122 132 133 130 125 120 116 112 110 112 117 122 122 120 119 113 102 94 94 100 108 119 132 151 169 173 157 135 123 119 122 128 134 140 151 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 1 3 8 14 12 9 7 6 6 8 8 7 5 3 2 4 7 9 8 7 6 7 7 9 9 6 3 3 4 4 3 6 7 5 3 3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 9 2 0 0 0 1 4 6 10 12 15 21 27 28 28 27 24 19 15 11 6 1 0 0 0 0 0 1 7 12 12 7 0 0 1 2 1 0 0 0 0 1 3 5 7 9 12 17 26 31 38 51 63 67 68 65 60 55 56 66 80 81 80 95 119 140 136 119 104 110 120 127 128 126 122 117 111 108 109 113 117 122 127 134 136 124 109 101 101 103 107 115 131 156 174 171 153 134 120 117 123 130 135 144 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 4 9 11 11 8 4 5 8 8 6 4 2 1 2 4 5 3 1 1 3 5 8 10 8 5 4 5 5 5 7 9 10 9 6 4 3 3 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 0 0 0 0 0 0 0 0 0 2 4 8 13 13 17 16 13 12 9 4 0 0 0 0 0 0 0 8 22 25 17 5 2 3 7 8 7 3 1 1 2 3 4 4 6 11 14 17 22 27 37 47 51 57 62 62 60 61 71 87 92 89 96 119 153 167 155 128 109 104 112 123 125 124 122 116 111 111 111 112 114 120 131 143 138 125 116 114 111 107 108 113 133 158 170 163 151 132 115 114 120 128 137 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 2 5 7 7 7 5 6 8 6 3 2 1 1 2 4 4 1 0 0 1 3 6 9 9 7 7 10 13 11 9 9 9 8 7 6 5 4 3 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 6 5 6 3 1 0 0 0 0 0 0 0 3 12 21 20 12 6 6 11 15 15 12 8 5 3 2 1 1 2 4 6 8 11 16 25 32 33 39 47 53 56 60 68 83 102 107 108 117 139 163 176 166 136 107 103 117 124 125 124 122 118 115 114 110 107 110 117 128 132 128 126 127 128 122 112 104 112 140 162 164 163 152 135 124 122 130 140 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 1 2 3 1 0 2 6 9 8 3 1 0 0 1 2 5 7 3 0 0 0 2 5 7 8 7 8 13 15 14 11 9 8 7 7 7 7 6 6 4 3 2 2 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 5 14 17 12 10 11 12 13 13 12 10 8 4 0 0 0 1 2 3 4 8 13 20 26 26 29 36 42 46 53 71 97 113 119 122 126 140 168 181 164 132 115 118 125 125 124 126 128 128 124 116 107 105 111 116 120 121 121 126 138 144 132 117 113 128 146 158 165 168 165 159 154 156 161 157 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 1 3 4 2 0 0 0 5 8 5 1 0 0 0 0 2 6 9 5 1 0 1 2 4 4 5 5 6 11 12 12 11 9 8 7 6 6 6 7 7 5 4 3 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 7 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 12 16 16 13 10 8 8 9 9 10 10 9 5 2 0 0 0 1 2 5 8 15 22 24 22 24 29 34 41 58 81 105 120 126 126 132 153 176 175 149 130 130 133 130 125 127 133 137 137 130 117 110 112 115 120 119 117 118 129 148 157 150 138 134 140 148 159 172 181 190 196 196 192 172 158 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 2 2 2 1 1 3 5 4 2 0 0 1 4 4 1 0 0 0 0 0 3 6 7 4 2 1 1 1 2 2 2 2 3 6 7 6 8 9 8 8 7 6 6 6 7 6 5 3 3 2 2 2 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 3 4 6 12 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 15 15 15 14 9 6 6 6 7 8 9 10 9 4 1 5 3 2 4 3 8 16 26 28 24 22 24 29 36 49 69 92 110 119 123 128 143 167 174 152 136 137 143 141 133 130 134 135 137 137 131 124 122 122 124 125 123 119 120 141 170 178 168 157 149 144 146 158 175 192 206 210 202 178 163 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 2 4 5 5 3 1 0 0 1 2 1 0 0 0 0 0 1 4 4 2 1 0 0 0 0 0 0 0 1 1 1 2 3 3 5 6 6 7 7 6 6 7 7 6 4 3 3 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 7 6 6 11 18 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 7 10 11 12 13 12 9 7 6 6 7 7 7 8 8 2 0 8 10 8 8 9 13 17 23 29 28 26 26 30 37 48 64 80 96 106 113 120 134 154 163 150 140 142 147 148 143 140 140 136 134 134 133 132 130 128 127 128 129 126 124 138 169 187 181 169 158 144 135 139 155 184 202 206 194 177 171 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 2 4 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 6 7 7 7 7 7 5 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 9 8 7 13 23 26 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 9 10 9 5 4 7 10 11 9 9 8 8 8 8 8 8 6 4 2 4 7 9 9 11 13 16 18 22 26 28 28 31 38 50 65 78 86 97 103 114 125 139 147 144 142 147 150 150 148 148 146 144 142 138 135 133 132 133 131 128 128 132 134 143 164 182 176 167 153 144 136 134 142 172 198 203 192 177 173 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 1 2 2 1 1 2 2 0 1 1 0 0 0 0 0 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 6 3 3 3 3 2 2 2 3 3 2 2 1 0 0 1 1 2 2 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 9 8 11 22 30 28 22 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 18 23 17 15 8 6 6 9 10 10 10 9 9 9 9 8 7 6 5 4 4 5 5 6 6 9 12 16 20 20 22 27 30 34 51 71 80 82 92 95 108 120 129 133 132 134 141 146 148 148 149 149 151 153 151 145 141 138 138 136 131 126 130 137 147 160 167 161 160 158 156 154 148 141 157 189 206 198 180 170 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 1 4 6 5 4 3 2 1 1 1 3 6 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 5 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 1 0 0 0 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 10 10 8 10 20 30 32 28 23 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 10 14 17 28 37 35 30 26 18 15 13 11 10 10 9 9 9 8 8 9 9 6 4 5 5 5 4 4 5 8 13 21 21 16 18 22 30 46 68 80 84 90 93 102 115 124 126 122 118 118 125 133 140 144 146 150 153 154 151 147 146 144 142 138 131 128 131 143 154 152 146 154 165 172 176 171 156 149 175 202 200 184 171 176 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 1 4 6 5 3 1 1 1 2 3 6 8 9 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 4 5 6 5 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 1 0 0 0 1 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 10 9 8 16 28 33 32 29 25 17 8 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 1 1 0 0 0 0 0 1 3 3 6 10 14 18 23 27 27 28 35 42 44 41 39 34 28 22 17 12 9 9 9 8 8 9 14 20 18 10 5 5 5 5 5 5 6 10 23 30 19 13 13 23 37 56 75 87 92 96 99 110 122 125 121 110 100 101 107 120 130 136 140 143 143 141 138 138 140 140 141 139 130 124 134 147 144 139 149 168 179 182 178 169 161 171 187 195 187 178 188 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 1 1 0 0 0 0 0 0 1 2 2 1 0 0 0 1 1 2 7 9 11 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 5 6 7 7 7 6 5 4 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 0 0 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 10 9 9 11 20 29 31 30 29 27 19 10 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 3 2 0 0 1 7 11 17 23 32 38 41 40 40 40 41 43 45 44 41 38 36 33 26 16 9 8 8 7 6 7 13 29 37 27 9 5 5 5 5 5 5 8 16 34 30 18 10 18 30 45 67 84 93 98 102 108 120 127 126 117 106 99 97 101 111 123 131 134 133 130 126 124 123 127 135 140 132 121 126 141 141 137 147 165 174 168 150 149 170 172 169 184 188 189 193 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 11 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 4 4 3 3 2 2 2 2 2 2 2 1 0 0 1 1 2 1 1 1 1 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 0 0 0 1 3 7 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 9 9 9 12 18 22 25 27 29 28 20 11 8 9 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 13 19 16 10 5 4 13 20 26 30 37 43 46 45 44 42 41 42 42 41 38 36 35 35 31 21 11 8 7 6 4 2 6 22 37 43 28 13 8 6 5 5 4 5 9 26 36 31 24 24 30 40 57 77 91 98 103 106 114 125 130 127 121 114 109 103 100 106 116 126 131 132 130 124 120 121 132 144 140 125 122 137 141 136 146 160 166 149 116 116 156 168 162 176 188 195 194 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 2 3 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 9 8 8 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 5 4 4 3 2 3 3 3 1 0 0 0 1 1 2 2 1 1 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 2 7 4 0 0 1 2 6 8 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 8 8 9 9 12 14 14 16 20 24 23 17 11 8 9 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 26 36 32 19 19 25 25 19 18 25 35 42 44 44 42 40 39 39 38 36 33 32 33 31 24 13 8 7 7 5 2 1 6 17 31 35 27 17 9 6 5 4 3 5 13 27 38 38 33 32 36 48 69 87 102 103 103 107 120 128 130 128 125 123 118 111 108 107 116 130 141 142 132 124 124 134 157 167 139 122 140 141 134 137 145 147 132 108 106 128 148 162 178 186 184 185 178 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 0 1 2 4 6 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 7 7 7 7 6 4 2 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 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 2 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 3 2 2 3 7 9 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 1 2 4 6 7 8 9 10 10 11 11 12 14 14 14 12 10 10 11 12 10 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 1 1 0 0 1 4 18 38 49 43 39 37 28 15 10 14 20 29 37 40 41 39 37 38 38 37 34 32 33 32 27 19 10 8 8 7 4 1 0 2 8 19 25 22 13 8 6 5 3 2 4 14 30 40 39 36 36 41 59 78 96 102 104 108 114 120 123 126 127 127 127 125 122 120 121 132 146 151 138 128 127 127 151 175 161 147 145 144 136 127 124 123 116 109 112 120 136 164 181 177 155 132 127 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 5 3 1 0 0 1 4 8 9 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 4 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 7 5 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 5 7 7 6 5 6 8 7 5 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 1 0 0 0 2 4 6 7 8 8 8 8 8 9 11 12 13 13 12 12 12 13 13 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 4 0 0 1 3 15 34 52 55 52 45 31 18 12 13 16 21 28 33 37 37 35 37 37 39 38 37 36 35 33 30 25 21 16 15 13 8 3 1 1 2 9 13 11 7 6 4 1 0 1 5 18 32 41 41 38 39 51 68 82 94 105 114 115 112 110 113 119 122 123 125 126 126 125 136 148 152 138 130 131 125 125 129 135 152 160 154 142 127 114 108 103 104 113 124 143 170 189 182 154 118 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 18 15 10 6 3 2 0 3 8 11 12 10 7 5 3 1 0 0 0 0 0 0 0 0 0 1 2 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 1 2 3 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 9 11 12 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 9 11 8 8 8 6 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 1 2 3 4 6 7 7 6 6 5 5 7 9 10 11 12 13 13 12 12 13 13 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 8 7 2 2 3 6 16 31 47 53 54 46 31 19 15 16 17 18 20 26 36 38 36 36 34 36 38 40 38 35 34 36 38 38 36 37 33 26 20 13 8 5 3 4 5 4 2 2 1 0 0 1 8 17 34 40 40 39 44 57 70 84 101 117 122 116 109 105 108 111 113 117 121 124 125 135 146 147 134 127 130 128 112 90 83 111 146 152 144 134 123 113 103 100 108 120 132 154 186 198 186 158 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 30 30 29 26 21 14 8 4 2 4 10 14 16 14 12 9 6 3 2 3 3 1 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 1 3 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 8 12 14 12 5 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 10 6 4 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 3 4 4 5 6 6 6 5 4 4 4 5 6 7 8 10 11 11 10 10 12 13 12 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 6 4 4 5 8 15 24 34 40 40 33 22 13 12 16 17 18 18 20 33 37 38 36 32 32 35 39 39 35 33 35 38 40 45 52 51 46 42 37 31 23 15 8 7 7 5 1 0 0 0 0 4 10 23 33 38 38 40 48 60 72 88 108 120 120 114 106 102 100 101 105 112 118 122 130 140 139 128 122 126 129 120 100 83 87 117 130 134 137 137 131 114 104 108 113 111 121 159 194 206 197 175 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 27 30 33 36 33 27 19 13 9 7 8 12 15 16 16 14 12 10 9 9 9 9 8 6 4 2 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 1 2 2 2 2 3 4 5 6 5 5 5 5 5 4 4 4 4 5 8 13 16 12 7 4 3 3 4 4 3 2 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 8 3 0 0 0 1 1 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 1 2 2 2 2 3 4 4 4 4 4 5 5 6 5 5 7 7 8 7 7 8 11 12 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 7 6 4 3 4 6 9 14 18 21 24 24 20 11 4 5 9 14 14 14 15 23 28 34 35 33 31 32 38 41 38 35 36 37 38 44 51 53 53 52 50 48 40 30 19 16 18 16 7 1 0 0 0 3 8 14 21 30 36 37 42 53 62 72 87 101 106 108 103 98 92 90 92 98 107 115 123 132 130 121 116 121 127 128 125 120 124 128 125 126 134 143 144 129 115 109 107 101 102 131 177 210 215 199 185 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 23 24 28 33 35 33 27 21 17 12 9 10 12 14 15 15 16 17 16 15 14 13 12 12 12 10 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 5 5 4 4 4 4 4 4 6 12 13 12 9 7 6 6 5 4 4 4 3 4 4 3 3 2 1 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 6 2 0 0 0 0 2 2 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 5 5 5 6 6 6 6 6 6 6 6 5 6 8 10 11 11 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 1 0 1 3 7 11 14 15 15 16 18 16 10 2 1 2 8 10 9 8 9 16 23 33 36 33 33 38 44 44 42 44 51 53 47 47 48 49 50 51 52 51 41 27 22 26 28 18 4 0 0 0 1 4 9 15 23 33 34 38 48 56 63 71 80 84 86 88 89 86 84 84 88 98 108 117 124 123 114 110 118 126 131 133 137 154 154 142 135 135 140 145 142 130 117 107 104 110 134 175 206 215 202 184 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 31 27 26 29 36 34 28 24 23 19 13 11 13 16 15 14 16 19 20 19 19 19 18 18 17 15 13 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 4 4 4 3 2 2 3 4 6 11 11 11 12 13 13 12 9 7 5 4 4 4 4 3 2 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 2 4 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 5 5 5 6 6 5 4 3 4 5 5 5 6 8 11 12 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 9 6 6 12 16 17 16 10 6 2 2 8 9 4 3 10 18 30 37 36 33 37 44 45 42 47 55 58 53 49 46 44 46 47 53 60 55 41 31 29 30 19 5 0 0 0 0 0 3 11 19 28 33 36 42 49 56 63 68 72 73 76 79 80 81 81 84 93 104 114 120 118 108 103 114 126 132 131 131 146 156 158 154 144 136 139 145 145 136 126 124 137 162 188 200 198 188 177 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
52 46 40 37 40 45 41 30 24 26 26 21 18 22 24 19 14 13 15 17 18 19 22 24 25 22 20 18 15 11 7 3 0 1 4 4 2 1 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 1 0 0 0 3 6 9 10 11 13 13 13 12 10 8 5 4 4 4 4 3 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 4 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 2 2 3 4 5 4 5 5 4 2 1 1 2 3 4 4 5 6 8 10 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 1 5 10 13 12 13 13 12 12 12 12 10 9 15 26 40 44 38 30 30 36 38 39 39 43 47 50 51 49 45 42 39 44 57 65 62 52 40 31 20 7 1 0 0 0 0 0 5 14 23 32 37 40 43 49 55 60 64 66 69 72 75 78 81 83 90 101 113 120 117 106 96 104 119 129 128 118 112 126 144 157 154 139 129 136 148 152 151 152 160 179 193 193 183 172 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
61 57 52 51 55 57 52 36 23 23 27 27 25 28 29 23 17 15 15 16 16 17 22 26 27 25 24 23 21 18 12 7 1 2 8 12 13 12 10 8 7 6 4 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 0 0 0 1 4 8 11 12 12 11 10 10 10 10 6 4 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 1 1 1 2 2 3 4 4 4 5 4 3 2 1 0 0 0 1 2 3 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 3 3 5 8 10 12 12 11 11 12 20 33 49 53 40 21 18 21 22 24 23 25 26 33 42 46 48 45 37 32 41 56 71 76 67 45 26 17 8 1 0 0 0 0 0 6 16 28 37 41 40 42 47 51 56 59 62 65 68 75 81 83 88 97 108 116 116 109 97 97 110 122 125 116 100 91 102 131 152 148 124 117 134 148 155 162 170 180 187 185 180 178 180 183 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
56 54 51 51 54 54 54 40 25 22 26 28 28 28 28 26 22 18 16 16 16 16 17 19 21 22 24 24 24 22 18 10 4 3 8 12 15 15 14 12 12 11 10 9 8 9 10 11 11 8 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 1 1 1 0 0 0 0 1 3 7 10 10 10 10 10 9 11 11 5 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 1 2 5 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 1 0 0 0 1 2 2 2 3 3 4 4 4 4 4 2 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 5 7 15 26 39 45 36 19 14 12 10 11 13 13 12 15 27 38 48 54 49 34 24 32 53 74 83 71 44 26 22 8 4 1 0 0 0 1 7 18 30 38 39 38 39 43 48 50 52 55 60 69 80 84 88 96 104 112 115 114 108 105 110 117 122 122 113 96 88 107 144 156 125 106 111 124 135 146 158 171 179 179 176 178 185 190 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
41 40 39 38 36 35 40 37 27 21 24 28 28 28 28 28 26 23 22 20 18 16 13 14 15 17 17 19 22 23 21 16 10 7 7 10 12 13 14 14 14 15 15 14 13 14 16 18 20 18 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 6 9 10 10 10 10 10 12 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 3 2 1 0 0 0 1 2 3 4 3 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 2 1 1 5 11 19 28 25 26 24 18 12 10 10 12 12 13 18 27 41 57 63 51 30 18 24 45 72 88 71 44 27 20 14 5 0 0 0 0 2 7 19 32 37 36 33 35 38 41 42 44 51 61 72 80 86 93 102 109 113 117 119 118 116 116 118 122 122 111 106 116 144 158 138 112 101 104 111 118 129 148 170 179 178 175 177 184 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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16 18 20 20 21 22 22 22 22 22 22 22 22 21 20 19 16 14 12 11 10 10 11 12 14 16 18 20 24 30 38 45 47 42 35 32 34 33 32 29 27 26 24 20 15 14 16 19 22 28 37 40 39 34 30 30 30 32 38 47 52 58 65 65 54 39 31 34 52 83 100 101 106 111 105 83 59 45 46 59 79 98 102 95 84 76 72 62 47 30 16 6 2 0 0 0 10 22 30 33 31 25 17 15 12 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 7 6 5 7 11 21 32 38 35 26 16 8 4 2 0 0 0 0 2 9 23 40 45 40 37 38 35 34 33 33 36 40 44 46 42 39 37 33 30 27 26 24 24 24 24 24 23 23 23 29 36 39 40 40 41 48 54 61 68 76 83 90 93 91 85 78 71 65 61 64 68 72 74 76 80 84 89 95 102 108 101 91 80 66 53 45 44 46 48 51 52 51 54 60 67 71 nan nan nan nan nan nan nan nan nan nan nan
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12 19 26 28 28 29 25 22 20 17 16 14 12 11 12 14 16 18 20 21 18 16 15 15 19 23 25 25 24 22 22 26 35 43 44 41 40 37 32 28 25 25 26 24 22 20 18 16 15 15 15 18 21 20 24 37 48 57 62 55 42 31 29 34 39 40 40 46 55 67 78 84 83 88 98 108 106 94 77 65 62 76 102 113 103 88 80 67 51 36 22 12 6 4 3 8 13 20 22 20 16 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 5 1 0 0 0 3 5 6 13 26 36 37 32 26 20 14 8 5 2 0 0 2 3 2 0 0 0 8 28 33 31 27 24 25 27 30 31 31 30 29 30 30 30 30 31 32 33 35 35 33 30 28 27 26 24 24 25 28 33 32 31 29 28 29 36 43 47 53 59 67 74 77 78 79 79 78 75 73 69 66 62 59 58 60 64 69 73 80 87 94 100 105 102 94 86 76 64 49 36 31 29 31 41 nan nan nan nan nan nan nan nan nan nan nan
16 22 28 30 31 31 29 26 25 23 20 17 13 10 8 8 10 12 14 17 19 20 20 19 19 21 24 25 25 24 24 25 27 31 32 32 35 41 34 26 24 26 27 27 25 23 21 19 17 15 14 15 18 20 23 32 41 53 58 50 32 18 13 19 28 35 43 49 56 62 69 76 80 84 91 101 108 104 93 78 68 74 93 106 104 94 88 75 58 41 27 17 11 8 8 12 16 23 18 10 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 4 3 2 1 0 1 1 1 1 2 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 1 6 13 11 4 0 0 0 2 5 8 21 36 40 34 25 18 10 7 5 3 1 0 1 3 6 5 2 0 0 8 21 28 29 27 25 24 25 26 28 28 28 28 29 29 29 29 30 32 36 39 42 43 36 31 29 27 26 26 27 28 36 36 34 32 28 26 26 29 32 36 47 53 59 65 69 72 75 77 76 75 71 66 62 59 57 56 58 60 60 60 63 70 76 80 83 85 84 80 71 57 37 27 21 17 21 nan nan nan nan nan nan nan nan nan nan nan
21 23 26 29 31 31 30 27 26 25 22 19 16 14 12 10 9 8 8 7 10 14 18 22 22 21 22 24 25 26 26 26 27 28 28 28 30 46 42 29 26 28 29 29 28 25 23 21 19 17 16 16 18 19 19 20 28 43 55 52 36 19 12 15 23 33 44 53 58 61 62 71 80 85 89 94 98 98 92 82 76 82 92 100 103 103 98 87 72 53 37 28 23 20 19 20 22 26 20 11 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 1 1 0 0 0 1 1 2 4 4 4 4 3 1 0 0 1 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 1 7 17 16 9 2 1 0 1 4 12 24 33 31 24 18 12 8 6 4 2 1 0 2 6 12 17 8 3 4 10 16 24 28 28 28 26 24 22 23 23 24 26 27 29 29 30 30 33 36 39 41 40 35 31 29 27 26 26 27 30 36 40 40 38 35 30 26 22 22 22 30 39 47 54 60 63 64 65 65 64 62 60 57 54 50 50 51 52 52 52 54 58 63 64 63 65 66 65 61 52 39 30 22 16 13 13 nan nan nan nan nan nan nan nan nan nan
22 21 22 26 29 30 28 26 25 24 21 18 17 14 13 13 12 11 11 10 9 8 11 15 19 21 22 23 24 26 27 26 26 28 29 28 30 39 43 35 32 32 32 32 30 26 24 22 21 19 17 17 18 18 15 13 19 34 48 55 45 27 16 15 22 32 44 55 61 64 61 66 73 78 81 84 88 90 90 92 96 96 93 97 104 108 105 97 87 73 58 47 40 37 36 38 36 28 19 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 1 1 1 1 1 2 3 4 5 5 5 3 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 20 17 12 7 4 4 7 13 19 20 17 11 9 8 7 6 5 4 2 0 2 8 26 32 18 11 11 14 19 23 24 26 28 28 27 24 21 20 21 22 24 26 28 28 29 32 34 37 37 35 31 28 27 26 25 26 26 30 34 37 40 44 42 37 31 23 18 17 17 21 30 40 50 56 58 56 53 50 46 46 46 44 41 42 42 42 43 45 48 51 54 57 58 57 54 50 46 44 41 35 27 21 16 15 nan nan nan nan nan nan nan nan nan nan
22 20 19 20 23 26 25 24 23 21 18 16 16 15 14 14 13 12 14 15 13 11 10 9 10 15 20 23 24 26 26 26 25 27 30 30 29 30 32 35 35 34 33 32 30 26 23 21 20 18 15 17 18 18 14 12 17 27 39 51 50 37 23 17 20 28 38 49 57 60 58 56 59 64 67 72 77 82 88 99 104 101 95 101 106 104 97 92 96 98 88 69 51 46 50 59 48 26 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 3 2 1 1 1 1 1 1 2 2 4 5 6 5 4 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 18 23 24 22 19 15 14 14 14 14 11 8 6 6 6 5 6 7 7 5 3 1 6 22 26 18 13 15 21 24 20 16 18 22 24 24 24 21 18 17 16 18 18 20 22 24 26 29 31 31 30 27 25 24 24 25 25 26 28 29 30 32 34 35 34 29 20 14 9 5 8 18 25 33 41 43 45 44 40 38 38 41 42 41 40 38 37 35 35 38 40 41 42 45 48 44 41 41 41 40 35 29 22 17 16 nan nan nan nan nan nan nan nan nan nan
22 19 16 14 14 16 17 18 19 18 17 16 16 16 15 15 13 13 14 15 14 13 13 11 10 11 15 18 23 25 24 23 24 26 28 30 30 29 28 30 33 34 33 31 29 25 22 20 18 17 16 18 19 19 16 14 20 27 37 48 51 43 28 15 14 19 24 28 33 41 46 46 43 46 53 62 70 77 86 96 100 96 96 102 97 85 76 75 91 107 101 76 53 48 59 70 46 18 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 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 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 1 2 4 4 2 1 1 1 1 2 2 2 2 3 4 5 6 6 5 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 3 14 20 23 24 23 22 21 19 16 13 9 7 4 1 1 3 5 8 9 7 5 4 6 10 9 7 7 10 16 22 16 10 12 16 16 15 15 16 13 11 9 10 9 9 10 13 16 19 23 24 23 21 21 21 22 22 23 25 26 27 27 26 25 24 22 18 13 8 4 0 2 9 13 18 25 29 32 35 37 38 39 41 42 41 39 37 35 32 31 32 32 32 32 33 34 35 35 36 36 35 32 26 20 16 14 nan nan nan nan nan nan nan nan nan nan
16 14 13 14 15 15 14 15 16 16 16 16 17 16 16 14 14 13 14 15 14 14 13 13 13 12 12 12 16 21 23 22 22 24 25 29 31 31 30 29 31 33 32 30 28 26 23 21 20 20 20 19 20 22 20 18 26 34 42 50 50 41 28 14 9 10 12 15 20 26 32 35 32 27 34 51 65 76 86 89 87 87 90 86 75 64 59 60 74 87 83 69 60 57 60 64 40 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 2 1 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 3 4 4 3 2 1 1 2 2 2 2 3 4 5 6 7 7 7 6 6 5 4 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 15 18 20 21 20 20 18 15 12 11 9 6 3 2 3 5 9 9 8 6 6 5 5 3 1 2 2 4 8 8 8 11 11 10 9 9 8 8 8 7 6 6 5 4 4 5 9 11 14 15 15 14 14 14 16 18 20 21 23 23 22 20 17 14 11 7 3 1 0 0 2 6 10 15 21 25 30 34 37 39 42 43 42 39 37 34 31 30 29 29 28 28 28 28 29 30 30 31 31 29 24 18 12 9 8 nan nan nan nan nan nan nan nan nan
12 11 11 11 12 12 12 13 14 14 14 15 16 16 15 14 13 13 14 14 14 13 13 13 13 13 12 11 11 15 20 22 22 22 23 26 30 32 33 32 32 32 32 30 28 26 24 23 24 25 23 22 24 27 26 23 30 40 45 50 49 43 36 27 19 18 20 21 30 32 30 27 23 21 26 42 60 75 80 83 85 81 73 63 53 49 49 47 52 61 68 72 75 70 56 49 34 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 1 2 3 3 1 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 2 0 0 0 1 3 5 5 4 2 2 2 2 3 3 3 5 6 6 7 7 7 8 8 7 6 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 15 17 18 19 17 14 12 11 12 12 11 10 9 9 8 9 8 7 6 6 5 4 1 0 0 0 0 0 3 7 9 9 8 8 8 8 7 6 6 5 4 2 1 1 3 5 5 6 5 4 5 5 4 4 6 10 14 16 17 17 13 8 6 4 1 0 0 0 0 0 2 6 10 13 17 23 29 32 35 38 40 39 38 35 33 31 29 28 27 26 25 24 24 25 25 26 26 27 26 23 18 10 4 1 nan nan nan nan nan nan nan nan nan
10 10 10 9 8 9 10 10 11 12 12 13 14 14 14 13 13 13 14 14 14 14 13 13 13 13 13 12 11 11 14 20 22 22 22 24 27 31 34 35 34 33 32 31 29 27 26 26 26 26 25 25 27 31 31 28 30 38 42 48 52 53 53 50 47 45 48 51 49 45 39 32 26 26 33 48 63 75 77 80 76 66 56 47 41 39 42 45 54 69 83 90 86 69 48 39 26 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 0 0 0 0 0 1 2 3 4 4 2 2 1 0 0 0 0 0 0 1 2 3 3 4 4 4 3 2 0 0 1 3 5 5 4 3 3 3 3 3 3 4 6 8 8 8 7 8 8 8 8 7 6 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 1 6 13 14 16 17 14 11 10 9 10 11 12 14 15 15 13 11 9 8 7 6 5 4 2 0 0 0 0 0 2 6 9 9 8 6 6 6 4 4 3 2 1 0 1 2 4 4 2 1 0 0 0 0 0 0 0 0 4 8 10 10 7 2 0 0 0 0 0 0 0 0 1 3 6 10 12 15 19 22 23 25 29 29 28 27 26 24 24 23 23 22 22 22 22 23 24 24 24 25 24 22 19 12 3 0 nan nan nan nan nan nan nan nan nan
11 10 10 9 9 8 8 9 9 10 11 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 12 12 12 14 18 23 23 23 25 28 32 35 35 34 33 32 31 29 27 27 26 24 23 26 28 32 33 30 28 32 38 45 55 61 63 61 60 60 59 62 66 61 55 50 47 48 55 65 73 78 80 77 61 49 43 39 36 38 48 64 82 96 100 91 76 56 44 34 16 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 1 0 0 1 2 2 1 0 0 1 1 2 3 3 4 4 3 2 2 1 0 0 0 0 0 0 1 2 3 4 4 4 4 3 1 0 1 2 4 4 4 3 3 4 4 4 4 6 8 9 9 8 8 7 7 8 8 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 13 14 14 12 9 6 5 4 6 9 13 15 16 15 13 11 10 8 7 6 5 4 0 0 0 0 0 4 8 9 8 5 2 2 1 0 1 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 3 5 5 3 0 0 0 0 0 0 0 0 0 0 1 2 6 8 9 10 12 12 12 13 14 14 14 13 12 11 12 13 13 12 14 16 19 22 24 25 25 25 22 19 12 4 1 nan nan nan nan nan nan nan nan nan
13 11 10 9 8 8 8 8 8 8 9 10 11 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 13 12 12 11 13 19 23 23 24 26 29 32 34 36 35 32 32 31 29 28 25 22 20 24 28 31 32 29 27 28 32 39 49 59 63 58 51 51 53 54 54 58 64 68 70 74 77 76 77 80 80 66 37 31 34 37 42 51 66 84 94 96 86 70 57 44 46 31 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 2 2 3 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 1 2 2 3 2 2 1 0 0 2 4 4 4 4 4 5 6 6 6 7 8 9 9 9 8 6 6 6 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 11 8 4 2 1 1 1 4 10 13 14 14 13 12 10 9 7 6 4 4 1 0 0 0 1 4 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 2 4 4 4 4 4 3 3 3 4 4 5 7 10 14 18 21 24 26 23 18 13 8 4 2 nan nan nan nan nan nan nan nan
14 13 12 11 10 10 9 8 7 8 8 9 9 10 11 11 12 12 13 13 13 14 14 14 14 14 14 14 13 13 12 11 11 12 17 22 24 25 27 29 32 36 38 36 32 32 32 29 25 20 17 21 26 29 30 29 28 27 27 30 38 48 55 50 39 38 42 44 43 45 51 60 69 77 83 79 73 74 70 50 25 27 36 44 56 69 77 81 78 70 60 53 50 43 56 34 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 2 2 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 3 4 4 4 5 6 8 8 7 7 8 9 10 9 6 4 3 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 3 0 0 0 0 0 4 7 9 10 10 10 10 9 6 4 2 0 1 0 0 0 0 1 3 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 10 14 19 25 26 20 16 13 9 6 nan nan nan nan nan nan nan nan
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