Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 5 5 5 5 4 4 4 3 3 4 4 4 5 5 6 8 9 9 8 5 4 4 3 4 5 6 7 7 8 8 8 8 8 7 5 5 5 4 4 4 4 3 2 3 2 3 3 3 4 4 4 5 4 4 3 2 3 4 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 5 4 3 4 4 4 4 5 4 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 8 8 7 6 6 6 5 5 5 5 5 6 6 6 8 7 6 5 5 6 7 6 7 5 5 3 5 9 10 -1 10 11 4 3 5 2 9 12 7 4 4 5 5 5 6 0 0 4 3 -1 5 9 3 0 3 7 5 1 3 11 16 10 4 6 9 7 6 6 6 8 8 3 0 4 11 10 5 7 6 0 1 3 4 2 -1 -1 2 5 5 10 27 40 32 15 7 5 4 4 4 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 11 14 18 20 18 11 7 4 3 4 4 -0 -3 2 5 5 4 5 6 6 5 4 3 2 3 4 4 5 7 7 6 5 4 5 11 13 7 5 5 5 5 5 5 5 4 3 3 2 2 2 2 1 1 1 2 1 1 1 1 2 2 3 3 1 -0 -0 2 3 4 5 5 5 5 6 7 8 9 10 10 9 8 5 4 5 7 7 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 7 17 28 19 8 6 9 7 1 1 -4 -6 -13 -5 2 -3 -1 4 4 2 0 -0 -3 -10 -14 -10 -7 -7 -6 -2 3 5 5 5 5 7 10 15 18 18 11 8 10 11 11 12 13 15 17 20 20 17 16 17 19 16 12 10 9 9 9 10 10 7 5 4 5 6 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 7 7 7 7 5 4 3 3 2 2 3 4 5 7 8 9 10 10 8 7 7 6 5 5 4 3 3 3 3 3 3 3 3 4 5 5 4 4 3 2 3 4 5 6 5 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 4 5 5 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 4 4 5 5 5 4 5 5 5 5 6 5 5 5 5 6 7 8 7 6 6 6 5 5 5 5 5 5 6 6 7 7 5 5 5 5 7 8 9 9 6 2 8 18 10 2 11 11 5 1 6 3 3 5 8 9 6 3 5 9 5 2 2 4 0 -2 8 11 5 2 5 9 9 5 2 6 12 12 10 8 7 9 7 3 4 10 10 6 4 3 4 5 6 7 6 3 1 2 3 3 4 6 8 9 14 24 34 34 20 8 5 5 4 4 4 4 3 3 3 3 2 1 2 3 3 3 4 4 4 4 4 5 5 4 4 4 4 5 5 5 6 8 9 11 14 17 19 16 11 6 4 3 3 2 -2 -4 0 5 5 5 5 4 4 4 4 2 1 3 4 4 5 8 7 6 5 4 4 9 10 6 5 5 4 4 5 6 5 4 3 3 2 2 2 2 1 1 2 2 1 1 1 1 1 3 3 3 2 1 1 3 4 5 5 5 5 5 6 8 9 11 12 12 11 10 7 5 5 7 6 5 4 4 5 5 4 4 4 5 5 6 5 5 5 5 5 4 5 5 4 4 5 4 4 4 9 18 25 23 17 13 7 8 11 9 -1 -1 0 2 0 3 4 5 7 7 6 4 1 -1 -2 -1 -3 -4 -3 1 4 5 5 4 4 5 7 9 11 10 6 5 7 8 8 9 10 13 16 16 14 12 11 9 6 5 5 5 6 7 9 10 8 6 5 5 7 7 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 5 4 4 5 5 5 6 6 5 6 5 5 5 5 5 5 6 7 7 6 5 4 3 3 2 2 3 3 5 6 8 9 10 10 9 8 7 6 5 4 4 4 3 3 3 3 3 3 4 5 4 4 4 3 2 3 5 6 5 5 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 4 5 5 4 4 4 5 5 6 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 7 8 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 4 4 4 6 9 12 15 6 2 10 18 5 3 8 7 4 1 4 1 -3 -2 4 11 12 4 6 10 4 3 4 4 -0 -1 8 11 8 6 9 11 12 10 9 8 6 8 10 8 6 7 2 -1 5 11 13 9 6 1 -3 0 5 6 9 8 4 3 4 5 6 8 11 15 26 36 32 19 9 5 5 5 4 4 4 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 9 11 13 15 17 15 11 6 3 3 2 1 -4 -9 -2 5 6 5 5 4 3 3 4 3 2 3 4 5 7 8 7 5 5 4 3 7 6 1 4 4 1 1 4 6 5 4 3 3 2 2 2 2 2 2 2 2 2 1 1 1 2 5 5 5 4 3 3 4 5 5 5 5 5 5 7 9 11 13 14 14 14 12 8 5 6 7 6 4 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 3 3 6 14 20 22 17 8 7 7 6 3 4 4 4 4 5 4 5 6 7 9 8 7 7 5 5 3 1 2 3 4 5 4 5 4 4 5 5 7 7 5 5 5 6 6 7 7 9 10 10 9 8 6 4 3 2 3 4 5 6 8 9 8 7 6 6 6 6 6 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 4 3 3 3 4 4 5 5 6 6 6 6 6 6 5 4 4 5 6 6 7 7 6 5 4 4 3 2 2 2 3 4 6 8 8 8 8 8 7 6 5 5 5 4 4 3 4 3 3 4 4 5 5 4 3 3 3 3 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 4 5 5 6 5 5 4 5 5 5 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 6 7 8 8 7 6 6 6 6 5 5 5 4 5 5 6 6 5 4 4 4 4 5 8 16 8 -0 6 12 7 2 5 7 4 7 7 -2 -7 -1 6 11 10 5 7 7 3 2 5 4 1 3 5 6 7 10 11 12 11 10 11 11 10 9 8 6 7 7 -1 -3 6 12 15 11 5 -1 -2 1 3 7 10 9 6 5 5 5 5 8 13 24 34 33 20 9 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 6 6 8 10 12 13 13 13 9 6 4 3 3 1 -6 -7 2 6 6 6 5 4 4 4 4 3 2 3 4 6 8 8 6 5 4 4 3 4 3 -1 0 1 -1 0 4 5 4 3 3 2 2 2 2 2 2 2 3 3 2 1 1 2 5 7 8 7 5 4 5 5 5 5 5 5 5 6 8 10 12 14 15 15 15 13 9 6 6 6 5 4 4 5 5 4 4 4 4 4 4 5 5 6 5 5 4 4 4 5 5 5 4 4 4 2 2 2 3 7 13 16 10 6 6 3 1 4 6 6 6 7 6 7 7 7 7 7 8 5 3 4 5 5 5 5 6 6 5 4 4 5 4 4 5 5 5 4 5 5 6 6 6 6 6 6 6 5 4 3 3 2 2 3 4 5 7 8 7 6 6 6 6 6 5 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 4 4 3 3 2 2 3 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 4 3 3 2 2 3 3 4 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 4 3 3 3 3 5 5 5 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 5 5 5 5 6 6 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 7 8 8 8 7 6 6 6 6 5 5 5 5 5 6 6 5 4 3 4 4 2 3 11 9 2 5 8 6 3 3 4 2 12 13 3 -1 2 8 11 4 1 2 4 3 2 3 3 4 7 6 2 1 7 10 11 9 6 6 8 13 13 9 6 6 6 5 3 6 8 10 10 6 3 6 5 5 9 9 8 7 6 4 4 4 7 16 28 30 20 9 5 5 5 5 5 5 4 4 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 6 6 8 10 10 10 10 8 5 4 4 4 2 -1 2 5 6 6 6 6 5 5 5 5 3 2 3 4 7 8 7 5 4 5 4 3 2 3 1 -3 -2 5 9 7 5 3 2 3 2 3 3 2 2 3 4 4 3 3 2 2 5 7 9 8 7 6 5 5 5 5 4 5 5 5 6 8 10 12 13 14 14 15 14 10 8 7 5 4 3 4 5 5 5 5 5 4 4 4 4 4 6 6 5 5 4 4 3 4 4 2 1 0 -1 -1 -2 -2 -2 1 6 7 5 4 3 3 6 9 8 6 6 6 8 11 11 9 6 7 7 5 5 6 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 2 3 3 4 5 6 6 6 6 5 5 5 6 5 4 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 nan 3 3 3 3 4 3 3 3 2 2 2 2 4 4 5 5 6 6 6 7 7 6 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 3 3 4 4 4 5 5 6 6 6 6 6 4 4 4 3 4 4 5 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 8 8 8 8 6 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 6 10 7 4 8 5 1 5 5 2 3 7 9 9 7 2 9 12 4 1 2 3 3 4 4 4 6 8 8 3 -2 0 7 10 4 -1 2 4 9 9 6 5 4 3 7 9 5 4 6 8 9 11 10 8 8 9 8 7 7 5 3 2 3 7 17 23 16 8 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 7 5 5 6 6 4 2 3 5 5 6 5 6 6 5 5 5 4 3 4 6 8 8 7 5 4 4 4 3 3 4 3 -3 -2 6 11 8 4 2 2 3 3 3 3 3 4 5 6 5 4 3 3 4 6 8 8 7 6 6 5 5 5 5 4 4 5 5 6 7 9 10 11 12 13 14 14 12 10 7 4 2 3 4 4 5 5 6 5 5 5 4 4 4 5 6 5 4 3 3 2 2 2 0 -1 -3 -5 -4 -4 -5 -5 -3 1 4 5 4 4 5 8 11 9 4 5 10 8 9 15 11 7 7 8 7 7 7 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 6 6 5 5 5 5 6 5 5 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 4 3 3 3 2 2 2 2 2 4 4 4 4 5 6 7 7 7 6 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 5 5 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 3 3 3 4 4 3 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 5 5 5 5 5 5 4 3 4 3 4 5 5 6 8 9 9 8 7 6 5 5 6 5 5 4 5 5 5 5 5 5 5 5 6 8 11 7 5 9 4 -0 2 1 6 10 4 4 8 9 4 10 12 4 4 7 4 2 5 6 4 5 8 7 5 -0 -1 6 9 -2 -7 1 3 6 1 2 3 5 3 -1 2 2 4 5 0 7 12 11 9 7 7 7 6 7 5 4 3 4 9 17 16 8 4 5 5 5 5 4 4 4 4 4 5 4 4 3 4 3 4 3 3 3 4 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 5 6 7 7 8 8 7 7 7 7 7 5 3 3 4 5 6 5 5 6 5 5 5 4 4 5 8 9 7 6 5 4 3 3 3 4 5 4 2 -2 -2 3 5 3 2 3 3 3 3 4 5 7 8 8 7 5 3 3 4 5 6 6 5 4 4 4 5 5 5 4 4 5 5 5 6 7 8 9 10 11 13 13 13 11 7 4 2 3 3 4 5 5 5 5 5 5 4 4 4 4 5 5 4 3 2 1 1 2 2 0 -1 -4 -3 -1 -3 -2 0 3 4 5 5 4 4 7 7 6 6 5 6 5 8 12 11 8 7 7 7 7 7 7 6 6 6 6 6 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 5 5 4 4 4 5 6 5 5 5 5 6 6 5 5 5 4 4 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 3 3 3 2 3 3 2 3 2 2 2 3 3 4 4 5 5 6 7 7 6 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 3 4 4 3 3 4 4 3 4 3 4 4 3 3 3 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 5 5 5 6 5 4 3 3 3 4 4 5 6 7 8 8 8 7 6 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 9 9 9 5 3 5 6 6 5 2 2 5 7 7 10 8 4 5 7 5 2 4 4 4 5 8 7 7 4 2 9 6 -8 -6 4 9 8 1 -0 0 4 4 0 -0 1 5 4 -2 1 6 8 7 7 9 8 6 5 4 4 5 8 15 20 14 6 4 5 5 4 4 4 4 4 4 4 5 4 4 3 3 4 4 3 3 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 7 7 7 7 6 4 4 6 7 7 6 5 5 6 5 5 4 5 7 9 8 6 5 4 3 3 3 3 4 5 5 4 1 -1 0 3 3 2 2 3 3 4 5 7 10 12 12 9 6 3 2 3 3 3 3 3 3 3 4 5 5 5 4 4 4 5 6 6 6 6 7 8 10 11 13 13 11 7 3 1 2 3 4 4 5 5 5 5 5 5 4 3 4 4 4 4 3 2 1 -0 2 7 5 3 2 1 2 3 2 4 4 4 5 6 5 4 5 5 5 8 7 2 2 5 7 8 7 7 7 7 7 7 7 7 7 6 7 7 5 2 2 4 5 5 4 4 3 4 4 5 5 5 5 6 5 5 4 4 4 4 5 5 3 4 5 6 6 5 5 5 6 6 6 6 6 6 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 5 6 6 6 5 5 5 5 5 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 3 3 4 4 4 4 3 3 3 3 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 4 5 5 5 6 5 5 5 5 4 4 5 4 4 4 5 4 4 4 5 4 4 5 5 5 5 6 5 5 5 6 6 5 3 3 3 3 4 4 6 6 7 8 7 7 6 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 4 6 9 10 8 7 7 10 12 7 4 5 2 3 5 10 11 4 5 6 4 7 5 5 4 6 7 6 6 7 7 8 13 2 -8 -1 6 11 11 8 -0 -1 3 3 1 3 6 9 6 3 1 5 3 6 10 10 7 6 5 3 5 8 13 21 20 10 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 3 4 3 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 7 7 7 7 7 6 6 12 14 11 8 7 6 6 6 5 5 7 9 8 7 7 5 4 2 2 3 3 4 4 5 6 7 6 1 2 3 3 2 3 4 4 6 9 12 14 13 10 6 2 0 1 2 2 2 3 3 3 4 5 5 5 5 4 4 4 5 5 6 6 6 7 9 11 13 13 10 6 3 2 2 3 4 4 4 5 5 6 6 5 5 4 4 4 4 3 2 1 3 4 3 7 7 5 6 3 2 3 4 4 3 4 4 4 6 8 7 7 10 12 10 5 1 2 4 6 6 7 6 7 7 7 7 7 7 7 7 9 9 5 3 3 4 5 5 4 3 3 4 4 5 5 5 6 6 6 5 5 4 4 5 5 4 3 4 6 6 6 6 6 6 6 6 6 6 6 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 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 2 2 2 4 6 6 6 6 6 5 5 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 3 3 3 4 3 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 3 3 3 4 4 5 5 5 6 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 6 5 6 6 6 7 7 7 6 4 3 3 3 4 4 6 6 7 8 7 7 6 5 4 5 5 6 6 5 5 5 5 5 5 4 3 2 3 4 7 7 5 7 9 8 6 8 10 9 6 4 3 5 6 6 8 7 4 8 9 8 7 9 7 4 6 6 5 8 9 -2 -4 2 6 9 12 11 0 4 6 4 4 2 3 8 6 6 2 4 4 11 17 11 6 3 1 3 7 10 15 21 15 7 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 5 6 6 6 7 8 7 8 13 17 17 16 13 11 10 8 7 6 7 8 8 7 6 4 2 2 3 3 3 4 5 6 7 8 7 5 4 4 3 3 3 4 5 7 10 14 15 13 9 4 -0 -1 1 2 2 2 3 4 4 4 4 5 5 5 5 4 4 5 5 6 6 6 6 8 10 12 12 9 5 2 2 3 3 4 4 4 4 5 6 6 5 5 4 4 4 3 2 1 1 6 11 8 5 6 6 6 4 3 2 3 6 6 7 6 6 9 11 12 12 13 13 12 9 3 3 4 5 6 6 6 6 6 7 7 8 7 8 8 10 12 11 8 6 5 5 5 4 3 3 3 3 4 5 4 5 6 7 7 6 5 4 5 5 4 4 4 5 6 6 7 6 6 5 5 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 4 5 6 7 6 6 6 5 5 5 5 6 6 7 6 5 5 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 5 4 5 4 5 4 4 4 3 3 3 3 3 4 4 4 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 3 3 3 4 5 4 5 6 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 8 7 6 4 3 3 4 4 5 6 7 7 8 7 6 5 5 4 5 6 6 6 6 5 5 6 5 4 3 2 1 2 4 6 4 5 8 5 3 10 10 6 5 2 1 1 4 9 9 6 6 6 10 11 10 7 3 2 6 4 1 3 4 -1 0 3 4 9 14 9 0 6 5 4 7 5 4 2 4 5 1 4 8 15 19 13 7 3 2 4 6 9 16 18 11 5 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 4 5 5 5 6 6 6 6 6 5 6 6 7 6 5 4 3 3 5 5 6 6 6 6 7 7 7 11 16 18 18 18 16 13 11 11 11 10 8 6 5 3 2 2 3 4 6 8 10 11 10 9 10 11 7 4 4 3 3 4 4 7 11 15 16 12 6 1 -2 -1 2 3 3 3 4 4 4 4 4 5 5 5 5 2 1 3 5 6 6 5 5 6 8 10 11 8 4 2 1 1 2 3 4 4 4 5 4 4 4 4 3 2 1 1 1 -0 -0 4 13 12 6 5 5 4 5 4 3 5 9 12 12 11 11 13 14 13 12 11 10 9 8 5 4 4 5 5 5 5 6 6 6 7 8 8 8 9 10 11 11 9 8 6 5 5 5 4 3 2 3 3 4 4 5 6 7 8 8 6 5 4 5 5 4 4 5 6 5 6 7 6 5 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 5 4 4 4 4 4 5 4 4 3 4 4 3 3 3 3 3 3 3 2 3 4 5 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 4 5 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 4 4 3 3 3 4 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 8 8 8 7 6 4 3 4 4 5 6 7 8 8 7 6 6 5 4 5 6 6 6 6 6 6 6 6 4 3 2 2 4 7 9 7 5 2 1 4 9 9 7 5 2 1 6 9 8 6 4 4 4 11 14 13 7 2 1 5 7 1 -2 1 2 3 4 3 6 10 4 0 3 3 5 6 7 6 5 8 4 -1 2 8 12 11 11 8 4 7 10 10 11 18 16 8 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 4 3 3 4 4 5 5 5 5 6 6 8 10 13 14 15 15 15 16 15 12 11 9 6 5 5 6 7 9 13 17 18 18 16 16 16 14 6 4 4 4 4 4 5 6 9 13 15 11 5 1 -1 1 4 4 4 3 4 4 4 4 4 4 4 5 5 1 -5 -6 -0 5 6 6 5 5 6 8 9 8 6 3 0 -2 -2 -1 1 3 4 4 2 1 1 1 0 -2 -5 -4 -4 -4 -2 4 10 10 6 5 4 4 5 5 5 8 12 14 15 15 12 10 11 10 9 8 8 7 6 6 5 5 4 4 5 5 5 6 7 7 8 9 9 9 10 10 10 8 7 7 6 6 6 5 4 3 3 3 3 3 4 5 7 8 9 8 6 5 5 5 4 3 4 5 5 6 6 6 5 4 4 4 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 4 4 4 4 4 4 4 5 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 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 4 4 4 4 4 3 3 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 7 8 9 9 9 8 7 5 4 4 4 5 6 7 8 8 7 6 5 6 5 5 6 7 7 6 7 6 6 6 4 3 3 4 9 12 10 6 3 -2 1 7 9 7 11 12 11 5 8 8 6 8 6 4 6 12 16 17 12 4 1 4 10 8 1 2 4 4 5 3 2 2 -3 -1 1 6 7 4 6 4 6 9 4 -4 -2 7 9 7 8 8 5 7 12 15 20 21 13 5 3 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 5 5 5 6 6 6 6 6 6 5 5 5 6 7 7 6 5 4 3 3 3 3 3 3 3 4 4 4 5 6 6 8 10 12 12 11 12 12 12 12 12 13 14 17 19 19 19 19 19 20 21 19 11 4 4 4 4 4 5 5 6 7 7 9 9 6 3 2 4 6 4 4 4 4 4 4 4 4 4 4 5 7 5 -4 -14 -10 1 6 5 5 5 5 6 7 8 8 7 4 0 -4 -5 -5 -3 -2 0 1 -1 -4 -3 -2 -3 -7 -8 -8 -6 -2 3 6 7 5 4 5 5 6 8 10 11 11 10 10 10 8 6 6 7 7 7 7 6 6 6 5 4 4 5 5 5 5 6 7 8 9 9 10 10 10 11 11 10 8 6 6 6 7 6 4 3 3 4 4 4 4 5 6 7 8 8 7 5 5 5 5 4 4 4 5 5 6 6 5 5 4 4 4 4 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 3 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 3 3 3 4 4 3 3 3 3 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 3 3 3 4 4 3 3 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 8 9 9 10 10 10 9 6 5 4 5 5 6 7 7 7 7 6 6 6 6 5 6 7 7 6 7 6 6 5 4 3 2 6 12 12 6 3 1 -3 3 10 12 4 10 15 13 8 3 0 4 10 10 8 8 10 14 17 15 10 8 6 5 7 5 5 7 4 6 5 1 -1 -3 1 4 9 7 6 4 3 6 7 4 1 3 6 6 7 8 8 7 7 7 14 23 19 9 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 4 3 3 2 3 3 3 3 3 3 4 4 4 5 6 6 7 8 11 13 16 18 19 20 20 19 15 13 12 13 16 17 14 7 5 4 4 4 4 5 5 5 5 5 4 4 5 4 2 2 4 2 -0 1 5 5 5 4 4 5 5 6 10 12 7 -4 -10 -4 4 5 5 5 5 5 6 7 9 10 10 8 4 -1 -6 -11 -12 -8 -3 -2 -4 -5 -3 -1 -3 -4 -5 -4 1 3 3 4 5 5 6 6 7 13 18 15 11 9 6 4 5 5 4 5 7 7 6 6 5 5 4 4 4 4 4 5 5 6 6 7 8 9 10 11 11 11 11 11 9 7 6 6 7 8 6 4 4 4 4 4 4 5 5 6 7 8 7 5 5 5 6 5 4 3 3 4 6 6 6 5 5 5 6 6 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 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 3 3 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 3 3 3 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 8 9 10 11 12 12 10 8 6 5 5 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 5 5 4 3 3 7 10 8 3 3 3 4 5 6 4 0 5 14 10 10 1 -2 2 6 8 11 10 6 6 9 12 13 15 11 4 1 4 6 5 4 7 6 4 4 3 3 6 8 7 7 6 7 9 8 3 7 9 6 5 5 7 8 9 9 7 16 22 13 5 4 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 5 5 5 6 6 6 5 5 5 6 6 6 6 5 6 6 5 5 5 5 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 9 11 14 16 16 15 12 9 7 7 7 7 8 9 8 5 5 4 4 3 4 4 5 5 5 4 3 2 3 4 1 -2 1 2 -5 -8 -3 4 5 4 4 4 5 6 11 18 16 7 3 1 3 5 5 5 5 4 4 5 7 8 10 11 12 9 3 -6 -14 -15 -9 -5 -3 -2 -1 1 2 2 3 2 3 4 4 4 6 6 5 5 6 11 19 19 15 10 5 4 4 4 4 6 7 6 5 4 4 4 4 4 4 4 4 5 4 5 5 6 7 9 11 12 12 12 11 11 10 9 7 7 7 8 8 7 5 4 4 5 5 5 5 6 6 6 6 5 5 5 6 5 4 3 2 3 4 5 6 6 5 6 7 6 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 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 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 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 6 6 6 7 7 8 9 10 11 13 14 14 13 10 8 6 6 7 7 7 6 5 5 5 5 5 6 6 6 6 7 7 6 5 4 4 4 3 3 6 8 6 3 4 8 14 8 5 1 1 0 11 9 14 6 2 -1 1 4 10 10 6 1 1 6 10 13 11 7 6 5 1 1 4 7 8 8 6 5 6 7 7 6 6 9 12 8 8 5 8 7 5 5 5 5 7 9 10 12 21 20 8 4 4 4 3 4 3 4 4 4 3 3 3 3 4 4 3 4 3 3 4 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 5 5 6 7 8 9 9 8 6 5 4 5 5 5 5 6 6 6 4 4 4 4 4 4 4 5 5 4 4 2 3 6 7 2 2 6 1 -11 -14 -6 2 4 3 3 4 6 10 17 19 10 5 5 4 5 5 4 4 3 2 1 2 3 4 5 8 11 12 6 -3 -9 -7 -3 -1 0 1 2 4 4 5 5 5 5 6 7 8 7 6 6 3 2 10 16 13 9 5 4 4 5 5 7 7 6 4 4 3 3 4 4 4 4 4 4 4 5 5 5 6 7 10 12 12 12 12 11 10 8 7 7 8 10 10 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 3 2 1 2 4 5 5 5 5 6 6 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 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 6 6 7 7 8 9 10 11 13 16 18 18 17 13 10 8 7 7 8 7 6 4 4 4 5 5 5 6 6 7 7 6 5 3 2 4 4 4 4 4 6 7 4 4 11 12 8 8 9 6 -5 5 12 16 11 7 -0 1 3 6 9 5 0 0 4 6 8 8 6 7 2 -1 4 8 8 10 8 3 5 9 9 6 3 4 8 10 6 4 6 8 5 2 5 5 5 6 7 9 15 22 16 6 4 4 3 4 3 4 4 4 4 4 3 3 4 3 4 4 3 3 3 4 3 3 4 4 4 4 3 3 4 4 4 4 4 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 3 4 3 4 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 5 5 4 4 4 3 3 4 4 5 4 3 3 3 5 10 9 7 11 12 1 -11 -15 -8 -2 -1 -1 0 3 6 10 13 9 3 3 4 3 4 3 1 0 -0 -3 -6 -5 -2 -3 -4 1 8 11 8 5 5 4 1 1 1 1 5 5 3 3 5 6 8 8 8 9 11 10 7 1 3 10 9 6 5 5 5 5 5 7 7 6 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 6 8 11 11 11 11 12 11 9 8 7 8 10 11 9 8 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 3 2 2 2 3 4 5 4 4 4 4 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 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 2 2 1 1 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 3 3 3 4 4 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 4 4 4 4 4 4 5 5 5 4 4 5 6 6 6 6 6 7 8 9 10 12 16 20 23 24 22 17 12 9 8 8 7 7 5 4 3 4 5 4 5 6 7 9 8 6 4 2 2 4 6 5 4 4 5 7 7 7 8 7 10 2 5 10 1 -0 10 10 7 8 4 4 2 4 9 1 -0 2 3 5 6 4 1 2 0 4 9 7 9 11 4 -3 1 7 10 6 2 3 6 6 2 2 5 6 3 0 3 4 5 5 6 10 19 23 14 6 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 3 3 4 3 3 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 3 3 3 5 7 7 11 14 9 2 -11 -16 -10 -8 -7 -6 -2 3 5 7 6 3 2 2 2 2 0 -2 -3 -3 -3 -7 -8 -4 -3 -6 -6 1 7 9 9 9 8 6 5 3 2 6 9 7 5 5 7 9 8 6 6 9 11 10 6 6 8 6 5 5 5 6 6 7 7 6 5 4 3 3 3 3 3 4 4 4 5 5 5 5 6 5 6 7 9 10 10 11 11 10 10 9 8 8 9 10 9 8 7 6 6 6 7 7 7 6 5 5 6 5 5 5 5 5 4 3 3 2 3 3 4 4 3 3 4 4 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 5 5 5 4 5 5 5 5 5 4 4 3 3 2 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 4 3 3 3 3 4 3 4 4 3 4 4 3 3 3 3 3 3 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 4 4 5 5 6 6 6 6 7 8 8 10 14 19 24 28 30 26 19 14 11 9 8 7 6 5 4 4 5 5 5 5 6 8 10 9 7 4 3 4 6 6 5 5 5 6 8 9 8 3 5 14 4 2 1 5 -3 7 4 -0 5 8 9 6 5 5 -0 -2 -0 3 5 5 4 4 2 1 5 7 3 7 10 1 -4 0 5 8 6 4 5 8 4 0 1 3 2 1 2 2 3 5 5 5 13 26 23 11 5 4 3 3 3 3 4 4 3 3 4 4 4 4 3 3 4 3 4 4 3 3 3 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 4 5 4 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 9 13 10 5 1 -6 -8 -8 -8 -10 -10 -4 1 4 4 4 3 3 2 1 -1 0 0 -1 -0 1 -1 -2 1 2 0 2 5 6 6 7 8 7 6 6 5 5 8 12 11 7 6 6 6 6 4 3 7 7 5 7 7 6 5 5 6 7 8 7 6 6 5 4 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 7 8 9 10 11 10 8 9 9 9 9 10 10 9 7 7 7 7 7 7 8 7 7 6 6 6 6 5 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 5 6 6 5 5 5 5 5 4 3 2 2 2 2 3 3 3 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 3 3 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 2 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 6 6 6 7 7 8 12 17 21 27 32 33 28 20 14 12 10 8 6 5 4 3 4 5 5 5 6 7 8 10 10 8 5 4 6 6 4 4 6 7 6 6 8 7 -1 3 9 6 3 -1 4 -2 1 2 -0 0 11 14 14 8 6 2 -1 -4 -1 3 4 5 10 7 2 3 5 4 7 7 2 0 2 5 6 5 6 7 6 1 3 4 1 -1 2 7 5 5 6 5 6 15 28 22 8 4 4 3 3 3 3 4 4 4 3 4 4 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 5 6 5 5 4 4 4 4 3 3 4 5 5 5 5 5 5 5 4 4 3 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 9 16 16 9 5 3 2 2 0 -4 -10 -11 -7 -2 2 3 3 3 4 3 2 6 8 5 4 5 5 4 5 6 6 6 6 6 5 5 6 4 2 5 7 4 3 9 12 8 5 5 5 7 5 2 3 4 5 6 7 6 5 6 7 8 8 7 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 7 8 9 11 13 9 8 10 10 9 9 9 9 8 7 7 7 7 7 8 9 8 7 6 6 6 6 4 3 3 3 3 2 2 1 1 1 1 2 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 4 5 5 5 5 5 5 6 7 6 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 2 3 4 4 5 5 5 5 5 5 4 4 4 3 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 10 17 22 26 31 36 35 28 20 14 12 10 8 6 4 3 3 3 5 6 5 7 7 8 9 10 9 7 6 6 5 3 2 5 6 4 4 7 6 -0 2 3 5 5 12 12 2 -6 -2 3 1 10 15 15 10 9 7 2 -5 -3 2 4 8 14 12 6 5 3 4 6 5 4 5 5 3 1 4 7 9 5 1 6 7 1 1 5 8 6 7 7 6 8 16 27 20 7 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 3 4 5 6 6 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 7 15 21 19 10 4 6 8 7 4 0 -5 -9 -9 -4 -1 -0 -0 2 4 4 6 10 8 7 6 6 6 6 6 7 7 6 6 6 6 5 5 0 2 6 4 3 5 7 7 8 8 7 7 6 3 3 4 5 6 7 6 6 6 6 7 7 6 5 4 4 4 3 3 3 2 3 3 4 4 4 5 5 5 6 6 5 4 5 6 6 7 8 11 11 9 10 10 10 9 9 8 8 8 8 7 7 7 7 8 8 7 6 6 6 6 5 3 2 3 3 3 2 1 1 -0 -1 0 2 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 3 3 3 3 4 4 4 5 5 6 6 7 6 5 4 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 3 2 1 2 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 10 19 25 28 31 35 36 32 24 18 13 11 9 8 6 4 2 3 4 5 6 6 7 7 8 8 9 9 8 6 5 3 2 3 4 4 5 6 5 6 4 6 6 4 4 15 16 8 -2 -2 4 3 6 8 9 12 10 9 5 -1 0 2 4 11 14 9 5 6 2 1 4 7 8 8 8 4 -1 3 8 12 9 3 4 5 2 4 8 6 5 6 7 6 9 19 26 18 7 5 4 4 3 3 4 4 3 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 5 6 6 6 5 5 5 5 5 5 4 4 4 4 5 6 6 5 5 5 5 5 4 4 4 3 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 10 16 22 18 11 10 10 8 7 7 5 0 -6 -6 -4 -4 -4 -3 -2 -2 1 6 7 7 6 4 4 5 6 7 6 7 8 8 6 6 7 3 2 4 3 4 5 6 8 11 12 11 9 6 5 3 4 5 6 6 6 6 7 6 5 5 5 4 4 4 4 3 3 3 3 2 2 3 3 4 4 4 5 6 8 8 2 3 6 5 5 6 8 9 8 8 9 9 9 9 9 9 9 9 7 7 6 6 7 7 6 6 6 8 8 5 4 3 2 2 2 2 2 1 0 -0 -0 1 2 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 2 2 3 3 2 3 3 4 4 4 6 6 7 7 5 5 4 3 4 4 3 3 1 1 2 2 3 3 3 3 4 5 5 3 2 2 2 2 3 3 4 4 5 5 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 7 6 6 6 10 23 33 33 31 33 32 29 25 19 15 12 10 8 7 5 3 3 3 4 4 5 7 8 8 8 8 8 8 8 7 5 2 2 3 3 4 6 7 5 5 5 11 12 6 2 9 12 10 4 4 9 7 4 3 3 11 7 7 7 5 4 4 4 8 7 5 4 5 4 3 7 11 9 5 8 7 2 3 7 10 10 5 3 4 5 8 8 4 3 4 6 6 8 18 24 15 6 4 4 4 4 3 4 3 3 4 4 4 4 4 4 3 3 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 6 9 13 17 18 17 16 13 9 8 8 7 2 -1 -0 -1 -1 -1 -2 -4 -2 3 5 7 7 3 4 6 7 7 6 9 12 11 7 7 8 6 2 2 3 4 5 7 11 15 17 15 12 8 5 4 4 5 6 6 6 7 7 5 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 7 11 6 2 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 9 8 7 5 5 6 6 5 6 8 10 10 8 5 3 3 3 3 2 1 1 0 -0 -0 0 1 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 3 3 2 2 2 2 2 2 2 3 4 4 4 5 6 6 6 5 5 5 5 5 4 3 2 1 1 2 2 2 3 3 5 5 5 4 3 3 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 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 4 4 4 4 3 4 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 5 5 6 7 6 7 7 7 21 42 42 29 24 25 24 20 17 14 12 10 8 7 5 4 3 3 4 4 4 5 7 8 8 8 7 7 7 7 5 3 2 3 3 2 6 6 6 5 1 3 10 13 10 6 9 11 7 3 6 9 8 4 2 2 5 5 5 9 7 6 4 4 4 5 5 3 5 4 5 9 10 7 6 10 11 6 5 6 5 5 6 7 9 11 12 5 2 3 5 5 5 5 14 19 17 10 5 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 7 10 13 16 19 19 14 10 10 11 8 7 8 8 6 6 5 3 3 6 7 7 8 9 10 8 8 7 6 10 14 13 9 7 6 4 3 3 3 4 4 7 12 18 21 19 14 10 6 4 5 7 6 5 6 7 7 5 3 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 7 8 5 6 6 6 6 6 6 7 7 7 6 7 8 9 10 11 11 9 6 5 5 6 5 4 5 8 12 12 10 7 4 4 4 3 2 1 -0 -1 -1 -1 -0 -0 0 1 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 3 3 2 2 2 2 1 2 2 3 3 4 4 4 5 5 5 6 6 6 6 6 4 3 2 1 1 2 2 2 2 3 4 5 5 5 3 3 3 2 2 2 3 3 3 4 4 4 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 7 7 7 7 8 12 32 46 31 11 7 13 16 14 13 11 10 8 7 6 4 3 3 3 4 4 4 5 6 8 8 7 7 6 6 5 4 2 2 4 5 4 6 8 7 6 3 4 7 10 9 5 8 9 5 3 2 3 5 4 3 1 4 9 8 10 9 5 4 3 6 5 4 3 3 1 2 6 6 4 8 12 11 7 5 4 2 1 4 10 14 15 14 6 2 3 5 6 6 7 10 14 21 16 5 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 8 12 15 15 13 13 15 14 14 16 13 9 9 10 10 10 10 12 10 9 16 16 11 10 8 5 9 12 9 7 7 5 4 3 3 4 4 5 7 11 18 22 21 15 10 7 6 6 7 5 5 6 6 6 5 3 1 2 3 4 4 5 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 5 6 6 6 6 7 6 7 7 6 6 6 6 8 11 14 14 11 7 5 5 5 5 3 4 7 11 13 12 9 6 5 4 3 2 0 -1 -1 -1 -2 -2 -1 -0 0 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 5 6 6 6 6 7 6 4 2 2 1 1 2 2 2 2 2 3 4 4 4 4 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 6 7 7 7 7 8 11 20 32 28 12 1 -4 3 12 12 11 10 9 8 6 5 3 2 2 4 5 5 5 5 6 7 7 6 5 5 4 3 2 2 3 5 6 5 6 8 6 6 9 9 6 5 6 4 6 5 4 5 3 1 2 6 6 4 9 13 9 10 8 3 4 6 8 4 3 8 6 4 1 3 5 3 6 8 6 4 4 3 1 -2 2 10 13 16 14 8 3 2 3 3 5 7 7 15 24 19 5 4 4 4 4 3 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 7 10 11 11 11 11 12 15 17 14 10 13 13 11 11 12 11 10 13 14 12 10 8 5 5 7 7 5 5 5 5 5 4 4 4 5 5 8 13 19 18 14 10 7 7 7 6 5 5 5 5 6 5 2 1 2 3 4 6 6 5 4 4 4 3 3 2 2 2 1 1 1 1 2 3 4 5 5 5 6 6 7 7 7 7 7 6 5 5 6 10 14 16 14 8 5 5 5 4 3 3 6 10 13 12 10 7 6 4 3 3 1 -0 -1 -1 -1 -1 -1 -1 -1 -0 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 2 3 3 3 4 5 5 5 5 6 7 7 6 3 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 4 4 3 3 3 3 4 3 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 6 6 7 8 8 8 9 14 23 27 16 3 3 -0 0 10 10 9 8 7 7 5 4 3 2 2 4 5 5 5 6 7 7 7 5 4 2 0 0 1 2 4 5 6 6 6 8 3 5 7 5 7 7 5 1 2 3 4 7 5 2 4 8 9 10 12 11 10 10 7 2 5 12 12 4 2 8 9 7 3 5 6 0 2 4 4 4 3 4 3 -1 2 8 14 17 12 9 4 1 0 -0 3 5 5 18 27 16 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 5 5 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 5 4 5 5 4 5 5 6 7 7 6 7 8 11 13 13 14 13 9 8 7 7 7 8 8 7 7 6 5 3 4 5 5 6 6 6 6 5 4 4 4 5 6 9 12 13 12 9 7 7 6 6 6 5 5 5 6 5 3 3 3 4 5 6 6 5 3 3 3 3 2 2 2 1 1 1 1 1 2 2 3 4 5 5 6 6 6 6 7 8 8 7 5 5 6 9 12 17 17 12 6 4 5 4 3 3 5 8 11 12 11 8 6 5 4 4 4 3 1 -0 -1 -0 -1 -2 -1 -0 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 7 7 7 5 3 2 3 3 3 2 2 2 3 2 2 2 3 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 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 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 6 7 7 8 8 9 13 19 24 23 11 2 8 7 4 8 8 8 7 6 5 4 3 3 2 2 4 5 6 6 7 7 7 6 5 3 -1 -2 -0 2 4 6 3 3 8 12 13 4 6 -0 -5 7 11 7 2 -3 -1 4 6 5 4 6 11 12 12 12 11 10 7 2 2 7 14 12 4 -4 2 7 4 3 4 8 4 4 5 7 6 2 7 9 6 5 7 16 21 11 7 4 -0 -3 -0 6 8 6 18 28 14 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 5 5 4 4 5 5 5 5 6 6 6 6 6 6 7 9 9 9 6 5 4 4 3 3 4 3 4 4 3 2 3 3 5 7 8 8 8 6 4 4 4 4 5 6 7 9 9 7 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 6 5 4 3 2 2 2 2 1 1 1 1 1 2 2 2 2 3 4 4 5 5 6 6 5 6 8 8 7 6 7 8 9 12 16 17 13 8 5 4 4 3 4 5 7 10 11 10 9 7 5 5 5 5 5 3 2 1 1 -0 -1 -1 -0 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 7 8 7 5 4 3 3 4 3 3 4 4 4 3 2 2 2 2 3 3 4 4 5 4 3 3 3 4 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 3 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 5 6 7 7 8 8 9 12 19 23 21 14 7 7 11 11 9 6 6 6 5 5 5 4 4 3 2 2 3 5 6 7 8 8 7 6 3 -0 -3 -1 2 3 3 2 1 3 5 8 11 8 8 0 -4 3 11 13 8 1 2 6 6 4 4 7 11 12 12 13 12 7 -0 -1 3 7 12 8 -1 -2 5 8 3 -4 -3 8 10 8 8 10 6 -0 7 12 10 8 8 15 23 18 9 3 -4 -6 2 12 12 8 16 27 16 6 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 5 6 5 6 6 5 5 3 3 2 2 2 3 3 3 2 1 1 2 3 6 8 9 9 8 5 4 4 4 4 5 5 6 6 5 6 7 7 6 6 6 6 6 6 7 7 7 6 6 5 5 3 3 3 3 3 3 2 2 1 1 1 1 2 3 3 3 3 4 4 4 5 6 5 5 6 8 8 7 7 9 10 11 13 15 17 14 9 5 3 3 4 3 5 6 8 9 10 10 8 6 6 6 6 5 4 4 3 1 1 0 -0 0 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 8 6 5 4 4 4 4 5 6 6 5 4 4 3 3 2 2 3 4 4 5 6 5 4 4 4 3 3 2 2 2 3 3 3 3 3 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 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 7 7 8 8 11 20 26 23 14 4 1 8 15 14 9 4 5 6 5 4 4 4 3 3 2 2 3 5 6 7 9 9 8 4 -0 -3 -2 2 4 4 1 -4 -3 3 5 3 5 10 5 3 2 -1 6 12 5 4 9 11 3 2 5 8 10 10 10 11 10 3 -1 1 5 6 7 4 -1 6 10 8 3 -7 -5 9 12 6 6 8 2 1 4 8 10 13 13 12 22 26 13 0 -7 -5 6 14 12 8 16 27 18 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 3 3 4 3 3 3 3 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 3 3 3 3 1 0 0 2 5 7 10 10 9 7 4 3 3 4 4 5 4 4 4 5 6 7 6 7 7 6 6 7 7 7 8 7 6 6 5 4 2 3 3 4 4 4 4 3 2 2 2 3 4 3 3 3 3 3 4 5 5 5 5 6 8 8 7 8 10 13 14 16 17 18 16 11 5 3 3 4 4 5 7 7 9 10 10 9 8 7 6 6 6 5 5 4 3 2 1 -0 0 3 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 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 5 5 6 7 6 5 4 4 5 5 6 7 7 7 6 6 5 4 4 3 3 3 4 5 5 6 6 6 5 4 3 2 2 2 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 7 7 7 8 8 12 22 31 28 18 10 0 -1 8 16 11 4 3 6 7 5 3 3 4 4 3 2 3 4 5 6 8 9 9 7 2 -4 -4 1 4 4 4 4 1 -5 -3 1 4 8 7 2 2 5 1 -2 0 2 6 8 6 -0 1 5 10 12 10 10 9 4 1 2 7 8 4 2 1 5 10 6 3 5 -4 -4 11 16 4 3 5 -0 4 4 3 6 10 11 14 28 32 15 -1 -8 -2 10 14 7 7 16 28 20 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 2 1 1 2 2 3 3 2 1 1 1 3 6 8 10 9 7 5 4 3 3 3 4 4 4 4 5 7 6 5 6 6 6 6 6 7 7 7 7 6 6 5 4 4 3 3 4 4 5 5 4 4 3 3 4 3 3 3 2 2 3 3 4 5 5 5 6 7 8 8 9 12 16 18 19 19 19 18 13 7 3 3 4 5 6 7 7 8 9 9 9 8 8 7 7 7 7 6 5 3 2 1 -0 0 3 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 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 5 4 5 5 5 5 4 4 5 5 6 6 6 6 6 7 7 7 6 5 5 4 4 4 4 5 6 6 7 7 6 4 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 6 7 8 8 7 8 12 22 34 34 21 9 6 3 10 13 12 6 2 4 8 9 6 3 3 3 3 3 3 3 4 5 6 7 9 8 5 -1 -4 -2 3 3 3 3 4 7 6 2 0 4 7 4 1 4 8 5 -3 -6 4 12 7 -1 -0 1 6 14 15 11 12 9 2 -2 4 11 9 3 -2 -0 7 7 4 6 6 0 -3 12 18 4 2 4 0 4 3 2 4 5 6 18 33 32 14 -1 -5 2 12 11 5 5 15 29 22 5 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 5 5 4 3 3 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 2 2 1 1 1 2 3 3 2 1 1 1 2 3 3 3 2 1 1 2 4 7 8 8 7 6 4 3 3 3 3 3 3 4 5 10 9 4 4 6 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 4 3 2 2 2 3 4 4 5 6 5 5 7 9 10 10 14 18 21 21 22 22 20 15 10 7 6 6 7 7 6 7 8 8 8 8 8 7 8 8 9 9 9 7 4 2 1 0 1 3 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 7 6 6 5 5 5 5 5 5 6 5 5 5 4 4 5 5 5 6 7 7 6 5 5 4 5 5 4 3 3 4 4 4 5 6 6 6 5 4 4 5 6 7 8 8 7 6 6 5 5 5 5 6 7 8 8 7 4 2 2 2 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 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 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 5 7 8 8 8 8 12 20 29 35 29 16 4 -3 4 12 9 2 2 3 5 8 9 6 4 3 3 3 3 3 4 5 5 6 7 8 5 1 -2 -1 2 3 2 3 4 5 6 7 7 7 6 4 3 4 8 10 9 5 -0 6 12 10 0 -1 1 8 15 13 10 10 9 0 -2 5 8 3 -2 -1 4 10 8 6 6 6 1 -2 10 13 2 -1 -0 2 8 0 1 6 6 5 21 36 29 10 -2 -2 7 14 10 5 4 13 27 22 6 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 4 3 2 2 2 1 1 2 4 5 4 2 1 1 2 3 4 3 2 1 1 2 4 5 7 7 7 6 5 4 3 3 3 3 3 3 6 12 13 7 4 5 6 7 7 7 7 7 6 6 6 5 4 4 4 5 3 4 4 4 4 5 5 3 2 3 3 2 2 3 3 3 4 5 6 5 4 6 9 9 11 16 20 22 23 24 26 26 21 16 13 9 7 7 6 6 5 6 6 6 6 5 5 6 7 8 9 10 8 6 4 3 3 4 5 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 7 7 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 6 6 8 7 6 5 5 5 5 5 3 3 3 3 3 4 5 5 6 5 3 2 3 4 6 7 8 8 8 8 7 7 6 5 6 6 7 8 8 7 5 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 7 9 9 9 10 13 17 21 24 26 25 16 1 -9 -8 -15 -14 -12 -3 4 6 8 9 8 5 4 3 4 4 4 5 5 5 6 6 5 0 -1 -0 2 3 3 4 7 5 8 8 5 4 4 5 5 7 9 9 11 15 13 6 7 9 8 3 1 2 9 12 9 8 6 3 -1 6 10 3 -4 -3 2 8 12 12 10 12 9 1 -1 8 12 3 -4 -8 0 15 5 -0 5 6 9 25 35 24 6 -2 1 10 14 10 6 6 15 25 18 7 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 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 5 4 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 5 5 4 4 4 5 5 6 5 5 5 5 5 4 3 4 4 3 3 3 3 3 3 3 5 7 7 5 3 1 2 3 4 4 2 1 0 2 4 5 5 6 6 6 5 4 4 3 3 2 2 3 8 14 13 8 5 5 6 6 7 7 7 7 6 6 6 6 6 5 4 7 4 3 5 5 4 4 5 4 2 3 3 3 3 3 4 4 5 5 5 5 4 6 8 8 12 17 19 20 22 25 29 30 26 20 15 10 7 6 5 4 4 4 4 4 4 3 3 3 4 5 6 6 6 6 5 6 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 7 8 7 6 5 5 6 6 4 3 3 3 2 2 3 4 5 5 5 3 3 3 5 6 7 8 9 10 10 9 8 7 6 5 5 6 8 8 6 5 4 3 3 3 3 3 4 4 3 2 2 3 3 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 9 10 10 12 14 17 16 14 13 15 18 12 -2 -13 -19 -28 -24 -14 -8 4 8 10 10 9 6 5 5 5 4 5 5 5 6 6 4 1 -2 2 5 3 5 3 7 11 6 7 7 5 4 1 1 4 9 10 8 13 20 17 10 9 9 7 4 2 3 7 11 8 7 3 -1 3 17 17 4 -2 -1 3 8 11 8 7 13 12 7 3 6 15 14 6 -5 -2 10 11 2 1 7 17 28 28 16 3 -2 3 10 12 9 5 6 16 25 16 5 5 6 5 5 5 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 4 4 3 4 4 6 7 7 6 4 4 5 5 5 5 5 4 3 3 4 4 5 5 5 5 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 6 7 9 9 6 3 2 3 3 3 2 0 -0 2 4 5 5 6 6 6 5 5 5 4 3 2 2 4 9 15 13 6 4 5 6 6 6 7 7 7 7 6 5 6 7 7 6 8 7 4 5 6 5 5 5 6 4 3 3 3 3 4 5 5 5 5 5 5 5 5 7 8 11 14 16 17 18 22 25 25 23 18 13 10 7 4 3 2 2 2 3 3 3 3 2 2 1 1 1 1 2 3 5 8 8 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 8 7 7 7 6 6 6 5 5 5 6 6 6 6 6 7 7 8 6 5 5 6 6 6 5 4 2 1 1 2 3 4 5 5 5 4 3 3 4 6 7 8 10 11 11 11 9 7 5 4 4 5 7 7 6 4 3 3 2 2 3 4 5 5 4 3 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 4 4 5 5 4 5 4 5 5 5 5 5 5 5 5 6 6 5 4 7 11 10 12 14 14 13 10 7 6 7 9 4 -5 -12 -15 -16 -12 -6 -5 3 10 11 11 9 6 6 5 5 5 5 6 5 5 5 2 1 1 3 3 2 5 5 8 11 9 7 5 2 3 1 3 7 10 6 5 12 16 15 12 9 8 6 4 4 5 8 13 10 6 3 -2 7 20 17 6 2 1 1 9 14 6 -1 2 8 12 9 6 13 17 14 5 1 -1 12 12 10 13 20 24 18 7 -1 -1 4 9 10 7 4 7 18 26 16 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 2 3 4 5 6 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 7 8 7 5 4 3 3 4 4 4 4 3 2 3 4 5 5 4 5 4 4 4 3 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 6 6 7 8 11 12 10 6 4 3 3 2 2 -0 -1 2 6 6 5 6 7 7 7 6 6 5 5 4 5 6 8 8 9 7 5 5 6 6 6 6 7 7 7 6 6 6 5 6 6 7 8 6 5 6 5 5 5 6 5 4 3 3 3 4 5 5 5 5 6 6 5 5 6 9 10 11 12 13 13 15 16 16 14 11 8 7 6 4 2 0 -0 1 2 3 3 3 3 2 2 1 0 -0 -0 2 4 7 7 7 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 7 8 8 7 7 7 7 6 6 6 5 5 5 6 6 7 7 7 6 6 7 7 6 5 5 5 6 7 5 3 2 1 2 3 3 4 5 6 5 4 3 4 5 5 6 7 9 11 12 12 10 8 8 6 5 5 5 5 4 3 2 2 2 3 4 5 5 4 3 3 3 3 3 2 2 2 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 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 8 12 12 12 10 8 7 6 8 8 12 15 10 2 -3 -5 -5 -2 1 2 7 11 12 11 9 7 7 6 5 6 7 5 4 3 3 2 2 3 3 3 5 6 5 7 9 9 7 9 5 3 5 4 5 5 0 2 7 7 8 11 9 7 7 6 5 5 6 8 8 5 6 4 10 15 10 4 4 3 3 7 7 2 -2 1 7 9 8 7 8 8 7 7 5 -4 4 19 23 20 18 15 7 -2 -2 -0 3 9 10 6 4 9 21 24 13 5 5 6 6 5 5 4 5 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 5 6 7 7 7 7 6 6 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 5 4 3 2 3 3 4 4 3 2 3 4 5 5 5 5 4 4 3 3 4 5 5 5 4 3 3 4 4 3 3 3 3 4 4 5 6 6 7 8 11 14 13 9 6 4 2 2 1 0 0 4 7 6 5 5 7 8 8 7 6 6 8 10 9 8 6 4 3 5 6 5 5 5 6 6 6 7 7 6 6 6 5 5 5 6 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 6 6 5 5 6 8 9 9 9 9 9 9 9 8 7 6 6 5 5 5 3 0 -0 0 2 3 4 4 4 4 5 4 2 1 0 2 3 5 6 6 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 6 6 6 5 5 6 6 6 5 5 5 5 5 7 8 8 6 6 7 8 7 5 4 5 6 7 7 5 4 3 3 3 4 4 4 5 6 5 4 4 4 4 4 5 6 8 10 12 12 12 12 11 9 6 5 5 3 2 2 2 2 2 3 3 4 4 4 3 2 2 1 0 0 0 1 2 2 2 2 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 11 16 15 9 4 3 5 7 11 14 24 35 27 16 9 5 4 6 9 11 13 14 12 10 9 9 7 6 6 7 7 4 2 2 2 2 3 3 3 7 10 9 6 5 6 5 2 8 8 8 10 9 6 -3 -5 2 5 2 4 8 6 8 14 11 4 2 1 1 6 9 9 9 14 16 10 2 2 2 2 1 1 -3 -1 6 6 5 9 5 1 6 8 7 9 -2 -9 10 29 25 14 4 -5 -6 -1 -0 4 10 10 7 6 8 17 23 14 5 5 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 7 7 7 6 6 6 6 6 5 5 5 6 6 5 4 4 4 4 5 5 4 5 4 4 4 3 3 2 2 2 2 3 2 3 2 2 3 3 3 3 3 3 3 5 5 5 6 5 4 3 3 2 3 4 5 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 9 12 14 15 12 8 4 3 1 1 0 2 6 8 6 5 5 6 7 8 8 7 7 10 13 12 8 6 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 7 6 6 7 7 7 7 7 7 6 6 5 5 4 4 4 5 6 6 6 4 4 7 9 8 7 6 6 6 5 4 3 3 4 3 3 1 1 0 1 1 2 3 4 3 3 4 5 5 3 1 2 3 5 5 6 6 5 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 4 3 3 4 4 4 4 5 5 5 5 4 4 5 7 8 7 6 7 8 8 6 4 4 6 7 8 7 5 4 5 5 4 3 4 5 6 6 5 3 4 4 4 4 4 5 7 8 11 12 14 15 14 11 8 5 3 2 2 2 2 2 3 3 3 2 2 2 1 0 -1 -1 -1 -0 -0 0 0 1 1 1 1 1 2 3 3 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 7 7 8 10 13 18 19 13 6 2 3 5 9 12 13 25 43 34 23 17 13 12 14 16 17 17 15 11 9 8 9 8 7 7 8 6 3 3 4 3 2 3 2 2 4 8 12 10 8 7 4 4 7 7 6 7 13 13 -3 -4 5 5 3 6 6 2 8 16 12 5 3 1 2 10 15 11 7 11 17 14 2 -0 -0 -1 1 3 1 7 12 6 9 16 3 -3 11 17 12 12 6 -7 6 28 22 9 -6 -11 -0 4 3 7 11 8 6 6 7 13 24 20 7 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 4 4 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 6 5 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 1 1 1 2 2 2 2 3 3 4 3 3 4 4 5 5 6 6 5 5 4 3 2 3 4 5 4 3 3 3 3 3 3 2 4 4 4 4 4 5 5 6 8 12 16 17 15 10 5 3 1 0 0 3 8 8 6 5 5 5 5 6 7 7 7 9 14 14 10 7 6 5 6 6 6 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 7 7 6 6 5 4 4 5 6 6 6 5 4 5 8 8 7 6 5 4 2 0 -1 -0 -0 -0 -1 -2 -2 0 2 2 3 3 3 3 2 2 2 2 2 2 2 4 6 6 6 5 5 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 3 3 2 2 2 3 3 3 3 4 4 5 5 4 4 4 5 6 7 6 7 7 8 8 5 4 5 6 7 7 6 5 6 6 5 4 3 4 6 5 5 4 4 5 5 5 4 4 3 4 7 8 11 14 16 16 13 9 5 3 3 2 2 2 2 1 0 0 1 1 0 -1 -1 -1 -0 0 0 0 0 0 1 1 1 1 1 1 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 7 7 8 8 10 16 20 20 15 8 4 3 3 5 9 8 8 16 26 22 17 15 14 14 14 14 14 14 13 10 8 8 8 7 7 7 7 6 4 5 5 5 3 3 5 6 3 4 9 13 14 10 5 4 2 -1 2 12 16 13 -1 -0 7 5 4 10 8 3 8 11 6 5 6 3 8 16 16 11 8 7 11 10 1 1 3 2 5 3 4 12 13 8 13 13 3 2 11 13 12 13 17 7 18 29 18 -1 -17 -9 14 18 15 16 13 8 5 4 6 13 24 22 9 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 5 5 6 6 6 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 6 5 4 3 3 2 2 2 3 4 4 4 4 4 4 3 3 4 4 4 4 3 4 3 3 3 3 3 3 3 2 2 2 2 3 4 4 4 5 5 4 4 5 6 5 6 5 5 5 5 4 3 4 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 5 5 6 8 12 16 18 16 12 6 3 1 -0 1 6 9 7 6 7 7 7 6 5 5 5 6 8 13 15 11 7 8 8 8 8 7 6 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 5 5 5 5 5 6 6 6 4 4 5 7 8 7 6 4 1 -1 -2 -2 -2 -1 -1 -1 0 1 3 4 3 2 1 1 2 2 1 1 1 2 3 4 6 6 5 5 4 3 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 6 4 4 5 5 4 4 4 3 3 3 3 3 4 3 3 4 5 6 7 6 6 8 8 7 6 5 8 9 9 7 6 6 7 6 5 4 4 5 5 5 5 5 5 5 5 4 3 2 3 4 5 7 9 13 16 17 14 10 6 4 3 3 2 1 -0 -1 -1 -0 -0 0 0 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 8 8 8 11 18 20 15 9 6 4 3 3 6 8 6 3 7 3 4 5 6 7 8 7 7 7 8 8 7 7 7 6 6 7 6 6 6 5 5 6 6 3 3 7 9 8 8 8 10 10 6 3 1 -3 -2 1 7 12 5 1 6 7 4 7 17 12 3 3 3 5 10 9 7 13 18 14 12 9 10 8 4 -3 3 9 6 5 3 5 3 0 6 11 5 4 9 11 9 4 9 18 17 29 29 12 -13 -20 3 28 33 28 22 14 8 6 5 6 12 22 23 11 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 4 4 5 6 6 6 5 5 4 5 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 3 2 2 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 7 9 13 17 18 13 7 3 1 -0 3 8 7 6 7 8 9 9 9 8 7 6 7 8 13 17 11 5 7 11 12 11 9 7 5 4 2 3 4 3 4 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 6 6 6 5 5 5 6 6 6 5 3 3 5 7 8 8 7 5 2 -0 -1 -0 1 1 2 2 2 3 4 2 1 -0 -1 0 1 1 1 1 2 2 4 5 6 5 5 4 3 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 7 7 8 8 8 7 7 6 6 5 3 3 3 3 3 4 5 6 6 6 6 7 8 9 8 7 10 13 12 10 8 6 6 6 5 5 4 4 4 4 5 5 6 5 5 5 4 3 3 4 5 6 6 8 12 16 18 15 10 7 5 3 2 1 -0 -1 -1 -1 1 2 2 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 7 7 8 8 9 10 16 18 12 8 7 4 4 5 7 7 5 4 4 -2 -1 -0 2 5 7 7 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 6 5 3 5 8 9 12 13 10 8 5 4 2 2 1 5 -0 -2 1 -6 3 15 9 2 10 23 14 4 1 1 9 16 11 9 11 9 8 10 7 9 10 4 -4 4 14 10 6 2 -2 -7 -3 7 7 0 3 8 9 7 3 7 11 21 34 26 5 -14 -8 13 27 31 28 20 12 8 7 6 5 10 20 24 14 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 4 3 3 3 4 5 5 5 4 5 7 8 7 4 2 2 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 5 4 4 4 4 4 4 4 3 4 5 5 5 5 5 4 5 7 12 15 14 12 9 5 2 1 3 6 5 5 6 7 7 8 9 10 10 8 8 9 13 18 12 5 5 9 12 12 11 10 7 5 3 2 3 3 3 4 4 4 4 4 5 5 6 6 7 7 8 8 8 7 7 7 8 8 7 7 6 6 5 5 5 5 5 5 5 4 3 4 6 8 10 12 9 4 2 2 2 3 3 3 3 3 2 1 -0 -1 -1 0 1 1 1 1 2 2 3 4 6 6 5 4 4 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 8 8 8 9 10 10 10 9 10 11 10 7 4 2 3 3 3 4 5 6 6 5 5 8 10 9 8 10 12 12 11 10 8 6 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 6 8 13 18 19 15 10 7 4 3 2 1 0 0 0 1 2 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 7 8 9 8 9 9 14 17 15 10 7 4 4 7 9 4 3 6 6 4 4 5 7 12 16 16 11 7 7 6 5 5 5 5 6 7 6 5 4 4 4 6 5 5 10 12 8 7 6 7 6 5 6 4 4 8 9 8 10 4 -6 0 5 3 2 11 13 5 7 9 7 11 12 8 8 4 1 7 11 8 8 12 7 1 2 12 11 6 2 -3 -1 4 4 -3 -5 0 7 6 2 1 4 6 25 35 22 2 -6 4 14 17 18 17 13 9 7 6 5 4 11 23 27 14 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 5 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 5 4 2 3 4 5 5 5 4 3 5 9 15 16 11 5 2 3 5 6 5 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 5 5 6 6 6 6 5 5 6 6 6 5 5 4 5 5 5 5 4 4 4 5 6 5 5 5 4 4 6 13 15 10 9 9 7 4 2 3 4 4 5 6 6 5 6 6 7 8 8 7 8 10 12 8 3 3 5 8 9 11 12 11 9 5 3 2 2 3 3 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 6 4 2 3 4 5 9 14 16 13 9 6 4 3 4 3 2 2 2 1 0 -1 -0 1 1 1 1 1 1 2 2 4 6 6 5 5 6 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 7 8 9 9 10 10 12 15 16 14 9 6 3 2 2 3 4 6 6 5 5 7 8 8 7 7 7 7 8 9 9 7 6 6 5 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 5 6 7 10 14 18 18 13 9 7 6 4 3 1 1 0 1 2 3 4 5 6 6 5 4 3 3 3 2 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 9 9 8 9 12 19 19 12 6 5 6 7 2 -2 3 5 6 8 10 11 15 20 26 27 21 15 12 9 6 4 4 5 6 7 7 5 4 3 3 5 5 7 12 12 13 3 3 6 5 3 4 2 5 9 7 6 11 15 16 10 -2 -3 5 10 -1 -2 6 10 10 13 13 13 7 1 3 11 17 14 9 9 5 2 6 12 10 8 3 -4 6 16 9 -5 -6 1 4 0 -2 1 2 3 23 33 20 3 1 10 13 13 12 10 8 6 5 5 3 4 13 23 19 6 4 6 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 3 2 3 4 5 5 4 3 2 3 8 16 22 20 12 6 5 6 7 6 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 12 16 9 7 8 8 5 2 1 2 4 4 4 5 5 5 4 3 3 5 4 4 5 7 5 1 1 1 2 4 7 9 10 11 9 8 6 4 4 3 3 3 3 4 4 4 4 5 5 6 6 6 7 6 7 8 7 7 7 7 8 7 6 6 5 4 5 5 5 5 4 3 3 4 6 9 14 17 16 14 11 8 5 4 3 3 3 1 1 0 1 2 2 1 1 1 1 2 3 4 6 6 6 6 6 5 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 5 5 6 7 7 7 9 13 16 17 15 12 8 4 3 3 3 5 6 6 5 5 6 6 6 6 5 3 4 6 7 7 7 6 6 6 6 6 5 4 3 2 3 3 4 5 6 6 5 5 5 5 6 7 8 10 14 16 14 11 9 9 8 6 3 1 0 -0 0 1 3 5 7 7 7 5 4 4 3 3 3 2 2 3 3 3 3 2 2 1 2 2 2 3 3 4 4 5 5 5 5 4 4 5 4 5 5 5 5 6 6 7 9 9 9 9 8 10 15 24 22 12 6 6 8 6 -5 -5 3 6 7 10 12 14 17 22 29 31 26 20 14 9 6 3 2 4 7 8 7 5 3 3 2 3 5 7 5 9 15 7 3 8 7 4 1 1 3 5 4 4 2 6 17 18 9 3 5 8 -0 0 2 4 6 15 18 19 9 4 7 14 19 16 7 2 -3 -3 11 16 9 5 -3 -2 14 27 14 2 1 0 -4 -5 2 4 1 4 20 27 19 7 7 13 14 13 10 8 6 6 6 4 2 5 11 13 7 2 9 12 8 6 5 5 5 4 4 5 5 4 4 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 4 3 1 2 3 4 5 5 4 3 2 2 5 11 17 21 17 11 8 7 7 6 5 4 3 3 3 3 3 3 4 5 5 6 6 6 5 6 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 6 6 6 5 5 4 4 5 5 6 5 5 5 5 5 5 6 6 7 7 7 11 13 9 7 7 7 4 1 -2 1 4 4 4 5 5 5 5 4 4 3 3 3 4 5 5 3 2 1 0 1 3 5 7 8 9 12 13 13 9 6 3 2 3 3 3 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 5 4 4 5 5 5 5 4 4 4 5 6 8 11 15 17 18 17 13 10 9 7 6 5 3 2 2 2 2 2 2 2 2 2 4 5 6 5 5 5 6 7 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 4 4 5 5 4 5 7 10 13 15 16 13 10 6 4 3 4 5 6 6 5 5 5 6 6 5 3 3 4 4 5 5 5 5 5 6 6 6 5 4 3 4 5 6 6 6 6 5 4 4 5 6 7 7 8 9 11 12 10 10 11 11 10 7 5 2 1 0 1 2 4 5 5 6 6 6 6 5 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 5 5 5 5 4 4 4 4 4 5 5 6 7 7 8 10 10 8 8 9 12 19 27 22 11 7 8 8 5 0 3 4 7 8 10 10 11 13 16 19 22 20 16 11 7 5 4 4 6 9 9 7 4 2 1 2 4 6 5 2 5 10 9 5 9 8 5 2 2 5 4 8 8 -2 -4 4 8 10 7 5 6 3 1 2 3 2 6 16 17 9 7 9 11 12 11 8 4 -1 -3 7 9 6 5 1 2 15 26 11 5 6 3 -4 -4 3 5 3 10 17 18 14 10 11 14 14 11 9 6 5 6 6 4 2 4 7 7 4 6 14 21 15 6 5 5 5 5 4 5 5 5 5 4 4 4 5 6 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 5 3 1 1 2 3 4 4 4 4 3 2 2 2 5 8 12 14 12 9 7 6 5 4 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 6 6 5 5 5 5 4 5 5 5 5 6 5 5 5 6 6 8 9 8 8 9 12 11 8 7 7 6 5 -0 -3 2 5 4 4 4 5 5 5 6 5 5 5 5 5 6 6 6 5 3 1 1 1 4 5 6 6 10 16 20 17 11 5 2 1 2 2 3 3 4 4 4 5 6 5 5 5 6 7 7 6 6 6 6 7 7 6 5 5 5 6 5 5 5 4 4 5 5 5 7 9 12 15 18 19 18 16 14 11 11 10 9 7 6 4 2 2 3 3 4 5 5 5 4 3 4 6 8 8 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 4 4 4 4 3 3 3 5 7 10 13 15 14 12 9 6 4 5 5 6 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 5 5 6 6 5 5 6 7 6 5 4 4 4 4 4 5 6 7 7 7 6 7 9 8 8 9 11 12 12 10 8 6 4 3 2 2 2 3 4 6 7 7 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 5 5 7 8 8 9 10 8 6 7 10 15 24 28 20 11 8 9 9 9 14 16 6 5 6 7 7 7 7 7 9 11 12 10 8 5 4 6 8 9 10 9 6 4 2 1 2 4 5 5 6 4 4 7 8 8 7 4 1 4 5 5 12 6 -2 5 7 1 3 5 5 5 3 3 6 5 1 -0 7 3 5 8 7 6 6 8 10 10 6 7 11 7 8 11 6 -1 -1 11 8 6 12 8 7 5 4 6 10 13 12 9 8 12 15 14 12 9 7 5 4 6 6 3 1 3 5 6 6 8 15 26 19 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 5 4 2 2 2 2 3 3 4 4 3 3 3 2 2 2 3 5 8 8 8 6 4 4 3 3 4 4 4 5 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 6 6 5 5 5 6 6 7 8 10 12 10 8 9 11 9 8 8 7 7 7 3 -2 0 4 4 4 4 5 5 5 5 6 6 5 5 5 6 7 7 8 6 4 2 2 3 5 6 6 7 12 20 22 15 7 3 1 1 1 2 3 4 4 3 4 4 4 5 5 5 6 6 6 6 6 5 6 7 7 5 5 5 5 5 5 5 4 4 5 5 6 6 6 7 8 11 14 16 17 16 13 14 16 17 16 15 11 7 4 4 5 5 5 5 4 3 2 3 6 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 4 4 4 4 3 3 3 3 3 5 8 11 13 14 14 13 10 8 6 6 6 5 5 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 6 4 2 2 3 3 3 4 6 6 6 5 5 6 5 5 5 6 8 10 11 12 13 13 10 6 3 1 1 2 3 4 5 7 6 5 4 4 5 6 6 5 4 3 3 4 3 3 3 3 2 3 4 5 5 6 5 5 5 4 4 5 5 7 8 9 9 11 9 6 5 7 12 19 28 28 18 8 5 7 11 13 17 11 5 4 4 4 4 4 4 4 6 7 8 7 5 4 5 7 10 11 10 9 7 5 3 2 3 4 3 7 12 8 2 5 6 6 5 4 3 5 4 7 17 8 0 9 6 -1 0 4 6 5 4 6 8 5 4 3 2 -2 5 8 4 3 4 7 11 11 9 14 16 12 10 11 6 -4 -12 -2 3 5 11 9 6 5 5 8 11 11 6 2 5 14 17 15 11 8 7 5 4 6 5 2 1 3 5 6 6 8 15 24 21 8 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 5 5 4 3 3 3 3 3 3 3 3 3 3 4 3 3 2 2 2 3 5 5 6 6 6 5 4 4 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 7 8 9 11 13 14 12 10 10 10 8 8 9 9 8 8 5 -1 -2 3 4 4 4 5 4 5 5 4 5 5 4 4 4 5 6 7 8 7 6 5 4 3 5 6 6 8 14 18 16 10 5 2 1 1 2 3 3 3 3 3 3 4 4 4 4 5 6 6 6 6 5 6 6 6 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 5 5 6 9 11 11 11 12 15 18 20 23 21 13 8 6 6 6 5 4 3 2 2 3 6 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 2 3 3 3 4 4 3 3 4 4 3 3 4 7 9 11 13 16 17 14 11 8 7 7 6 5 4 5 6 6 6 6 7 7 7 6 5 5 5 5 5 5 6 7 7 5 4 2 1 1 2 3 4 5 6 5 4 5 5 4 4 3 3 5 6 7 8 12 15 14 10 5 2 1 1 2 2 3 5 5 4 3 3 4 6 6 6 5 4 3 3 4 4 3 3 2 3 4 5 6 5 5 5 5 5 5 5 6 8 8 9 11 10 7 4 4 8 16 25 31 25 12 5 3 4 7 4 3 -1 1 4 3 2 2 3 4 6 8 8 7 6 5 4 5 7 8 9 10 10 9 7 5 5 6 6 3 6 10 8 4 5 4 4 4 3 4 4 5 11 16 4 3 8 4 2 4 6 6 6 5 6 5 0 -1 5 11 13 10 7 4 3 3 4 6 8 10 14 14 10 4 5 10 2 -12 -6 4 7 8 6 2 5 9 11 9 6 -0 -2 6 14 17 14 10 8 7 5 5 6 4 1 2 4 5 5 6 8 15 25 23 10 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 3 3 3 3 3 4 4 4 3 2 1 2 4 5 6 6 6 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 5 5 6 5 5 5 6 7 7 7 6 6 6 8 10 12 13 16 17 16 12 11 11 10 9 9 10 10 9 7 5 -1 1 3 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 5 7 8 9 10 5 1 4 6 6 5 7 11 14 12 8 5 2 2 3 4 4 4 2 2 3 3 3 3 3 4 5 6 6 6 6 6 5 5 4 5 6 6 5 4 5 4 5 5 5 6 6 6 6 5 4 4 5 6 7 8 9 10 13 16 21 23 19 13 9 7 6 5 4 3 2 2 4 6 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 6 6 5 4 3 3 3 3 3 4 4 4 4 4 5 6 6 8 14 19 19 16 13 11 9 8 7 6 5 5 6 7 7 7 6 6 6 6 6 6 6 5 4 5 5 5 4 4 2 2 2 3 3 4 4 4 3 4 4 6 5 4 3 3 3 3 3 4 7 11 13 10 6 3 2 2 2 2 3 3 4 4 4 3 3 4 5 6 5 4 3 3 4 4 4 3 3 3 3 5 5 5 5 5 5 5 5 6 7 8 9 10 11 10 5 2 6 14 23 30 30 18 8 5 1 -3 -2 -7 -8 -2 2 2 1 0 1 3 5 8 10 10 8 6 4 5 5 6 7 7 7 9 10 7 3 4 10 7 3 4 7 9 5 3 2 1 3 2 3 3 6 13 7 -0 5 5 5 5 6 6 6 6 5 5 2 -2 -0 11 22 22 10 3 5 4 2 -2 -0 4 8 11 9 3 -3 1 15 14 1 -1 9 10 4 -0 3 11 14 10 6 1 -0 4 10 11 12 11 9 8 7 6 6 5 4 2 4 6 6 4 4 8 18 30 24 10 4 4 5 6 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 3 4 5 5 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 7 11 14 16 18 20 19 16 12 10 10 10 10 10 10 9 8 7 5 2 1 3 3 4 4 4 5 5 6 6 5 5 4 4 3 3 3 3 5 7 8 8 6 3 4 6 6 5 4 6 9 10 10 9 7 5 5 5 5 5 4 3 3 3 2 2 3 3 4 5 6 5 6 6 5 5 4 5 5 5 4 5 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 7 9 11 13 19 22 19 14 9 6 4 5 4 4 4 5 6 7 7 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 13 13 13 12 8 5 4 3 3 3 3 4 4 5 5 5 4 5 8 14 16 15 13 12 11 10 9 7 6 6 6 6 6 6 6 6 6 6 7 8 8 7 5 5 4 3 2 2 2 3 4 5 5 4 3 3 3 3 5 6 6 6 4 3 2 2 1 1 4 7 9 10 9 6 4 4 4 4 3 3 4 5 5 4 3 2 3 4 4 3 2 2 3 4 5 4 3 3 3 4 4 5 5 5 5 5 5 7 8 9 10 11 11 7 2 4 13 24 31 31 23 13 8 3 -5 -10 -7 -10 -9 -2 2 0 -0 0 2 4 7 10 12 10 8 6 5 5 5 5 5 5 5 4 5 4 -2 1 12 10 6 5 12 12 6 4 3 1 2 2 4 7 10 9 1 10 16 4 5 5 4 4 3 4 5 4 2 0 6 19 31 26 7 -0 3 1 1 -4 1 7 8 8 2 -5 -5 6 16 12 10 10 11 10 2 -3 2 9 9 11 7 1 9 17 14 9 10 9 8 8 7 6 6 5 4 4 5 5 5 4 4 13 28 32 19 6 4 5 5 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 4 5 5 4 4 4 4 4 4 4 3 3 3 4 5 5 4 3 3 4 5 5 5 6 7 6 7 7 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 7 10 14 17 19 21 21 18 14 12 12 10 8 10 10 8 7 7 6 5 5 2 1 2 3 4 5 5 5 6 7 7 7 7 6 4 4 4 4 5 6 7 7 6 4 4 5 6 5 5 5 6 7 8 8 9 9 8 8 8 8 9 8 6 4 2 2 1 2 3 4 5 6 6 6 6 6 5 4 5 5 4 4 4 5 5 5 5 6 6 6 5 5 4 5 6 6 5 5 5 5 6 7 7 13 20 23 19 15 10 8 7 6 6 7 7 8 8 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 15 16 18 19 17 12 9 7 5 4 4 4 4 5 5 6 5 4 4 7 8 8 8 8 9 9 8 8 7 7 7 5 5 5 6 6 6 7 8 9 10 9 8 6 4 3 2 2 2 3 4 5 5 5 3 3 3 3 4 6 8 7 5 4 3 2 2 3 4 6 8 9 9 8 6 6 6 6 4 3 4 4 5 5 4 3 2 2 2 2 2 2 3 5 6 5 4 3 3 3 3 4 5 5 5 5 6 8 9 9 11 13 10 3 3 12 25 32 30 20 12 11 8 -0 -8 -7 -6 -8 -6 -2 -1 -1 -0 3 5 7 9 11 14 14 11 7 6 5 5 5 5 7 6 4 3 3 -1 2 10 10 6 7 13 10 9 8 5 3 1 2 6 12 11 4 6 19 21 9 6 4 2 1 2 4 4 3 3 4 9 20 29 23 8 5 4 -2 0 1 8 11 13 10 -0 -9 -5 8 8 -3 3 10 9 10 5 4 5 8 7 8 4 5 19 25 15 9 9 10 9 8 7 7 7 6 5 5 5 5 4 4 6 20 34 27 10 4 4 5 5 7 7 6 6 6 5 5 5 5 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 4 4 5 5 4 3 4 4 5 5 5 4 3 3 4 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 7 6 6 6 6 8 13 16 17 17 17 16 14 12 13 13 9 6 7 8 7 6 6 6 4 2 0 2 2 3 4 5 5 5 6 7 7 7 8 8 6 5 4 5 5 6 6 8 10 3 0 3 4 5 5 5 5 6 6 7 8 9 10 10 10 11 15 15 10 6 4 2 2 2 2 4 5 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 7 13 20 22 20 18 15 11 8 7 8 9 9 8 8 9 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 9 11 14 18 20 19 16 13 8 6 6 5 4 4 4 5 5 4 4 4 4 4 4 5 5 6 7 7 8 8 7 6 5 5 6 6 7 8 9 10 10 9 8 6 5 5 5 4 5 5 4 4 4 4 3 3 2 2 2 4 5 6 5 4 4 4 4 5 6 7 8 8 9 8 8 8 8 8 7 6 5 4 5 6 6 6 4 3 2 1 1 2 2 4 6 6 4 3 2 2 3 3 4 5 4 4 6 9 9 9 13 14 7 2 9 23 32 32 22 8 -0 1 4 6 3 3 -2 -6 -4 -2 -2 -1 3 6 9 9 10 12 15 18 15 10 7 7 6 4 4 9 10 8 5 4 4 4 5 7 6 6 7 6 7 7 9 6 1 0 5 10 7 3 10 14 9 14 9 4 1 2 4 4 3 4 4 5 8 14 19 17 9 12 6 -3 -1 5 12 13 16 13 2 -6 -0 12 11 1 1 5 10 12 9 8 7 7 15 7 3 13 22 20 13 9 10 12 11 9 8 9 8 5 3 3 6 6 5 4 10 25 33 21 6 4 4 5 6 7 7 7 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 4 4 5 4 3 3 4 5 6 7 7 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 6 6 7 10 14 16 15 13 9 8 9 11 13 12 7 6 6 7 7 6 7 8 6 -1 -5 -1 3 3 4 4 5 6 7 10 9 5 6 7 6 5 5 5 5 6 7 8 11 4 -2 2 3 4 4 5 5 6 6 7 8 8 9 10 9 10 15 18 15 10 6 4 3 2 2 4 5 6 6 6 7 7 7 7 6 5 5 4 4 4 5 5 6 6 7 6 6 5 6 6 6 5 4 3 3 2 3 4 4 4 7 14 20 21 22 20 17 12 10 10 10 10 9 9 10 10 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 7 9 13 17 19 18 13 10 8 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 9 8 8 7 6 7 7 7 7 7 8 8 7 6 5 5 6 7 7 7 6 5 4 3 3 2 1 -0 -1 -1 -1 0 2 3 4 4 5 5 5 5 6 7 8 8 8 8 8 10 10 11 9 6 5 5 6 8 8 7 5 3 3 2 2 2 4 6 5 4 2 2 3 3 3 4 4 4 4 7 9 9 11 16 13 4 5 15 24 26 25 19 8 -3 -2 9 16 15 9 -2 -5 -4 -3 -1 2 6 8 9 10 10 12 15 20 20 13 10 8 7 5 4 8 10 10 7 5 5 5 4 7 10 8 5 9 4 3 6 4 -0 -0 2 4 1 3 4 3 2 8 2 -0 1 3 5 3 1 4 6 5 6 9 11 9 7 10 4 2 -2 5 11 14 13 6 0 1 7 14 16 14 11 4 6 11 12 7 5 6 13 7 11 19 18 12 10 10 10 11 11 10 9 8 6 3 1 2 6 8 6 5 13 27 30 16 5 4 4 5 6 7 7 7 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 3 4 6 7 8 7 6 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 5 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 5 8 12 14 14 12 10 8 5 6 9 11 9 6 6 6 7 7 8 8 8 9 3 -6 -5 1 3 3 4 5 6 7 11 12 8 5 6 5 5 4 4 5 6 7 8 7 5 1 3 3 3 3 4 5 5 6 7 8 8 9 9 8 8 11 14 16 13 9 6 4 3 3 3 4 5 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 5 4 3 3 3 4 3 3 5 9 15 18 20 20 18 16 16 15 13 12 9 8 8 9 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 3 3 6 10 15 18 17 14 11 7 5 5 4 4 4 3 4 4 4 4 4 4 4 4 5 5 6 8 9 8 7 7 8 8 7 6 5 5 6 5 5 4 5 6 6 7 7 7 7 6 5 4 2 -0 -2 -4 -5 -5 -3 -2 -0 1 3 3 3 3 3 5 6 7 8 8 8 9 10 12 12 10 8 7 6 6 7 8 8 6 6 6 5 3 3 4 5 4 3 2 2 3 3 3 4 4 4 6 9 10 12 17 19 12 4 9 15 15 16 20 21 14 6 6 12 13 9 3 -5 -7 -4 -2 1 4 7 8 9 9 9 10 15 21 22 16 11 9 5 5 6 6 9 11 10 7 5 6 6 9 10 5 3 5 3 5 2 -1 -1 0 2 1 -1 0 -0 0 2 -4 -6 -2 -1 2 5 2 1 5 8 6 5 7 6 4 7 7 5 8 7 10 2 8 9 2 2 7 11 13 12 11 9 1 -1 9 15 5 3 11 6 5 17 17 12 8 8 10 11 10 10 9 8 7 4 2 1 3 6 8 7 6 13 25 26 12 3 4 4 5 7 7 8 7 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 6 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 9 12 13 11 7 7 12 11 7 8 9 7 5 5 6 8 10 10 9 9 9 6 -1 -3 0 3 3 3 4 5 6 8 10 11 9 8 6 6 4 1 3 6 7 9 6 4 5 5 4 3 3 4 4 4 5 6 7 8 8 8 7 6 7 9 13 14 13 10 7 5 4 3 3 4 6 7 7 6 7 7 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 7 6 5 4 4 3 4 4 3 4 7 11 14 16 15 14 14 15 14 13 11 10 8 8 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 2 3 4 5 8 11 14 15 14 11 9 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 9 8 7 5 4 4 4 4 4 4 5 5 5 6 6 7 7 8 7 6 4 1 -2 -4 -5 -5 -4 -3 -2 -0 0 1 2 3 3 4 5 6 7 8 8 8 9 10 10 9 9 8 8 8 7 7 6 6 7 9 8 6 4 4 4 4 3 2 2 2 3 4 4 3 4 9 11 13 18 23 21 7 -1 7 11 8 12 17 16 13 15 14 9 -1 -5 -6 -7 -6 -3 -0 3 5 6 7 8 8 9 11 17 24 23 15 9 5 2 5 10 10 10 13 11 8 5 2 2 6 5 1 4 3 3 5 2 1 1 3 8 4 -0 -0 0 0 -2 -8 -4 0 -1 3 5 3 2 6 10 8 7 7 6 5 8 8 8 9 19 22 7 3 2 2 8 11 12 11 8 7 4 1 2 13 14 3 1 10 9 11 19 15 9 7 8 10 10 9 9 9 8 5 3 3 3 4 6 8 7 6 11 23 26 13 4 5 5 6 7 7 8 7 7 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 5 5 5 4 4 4 5 6 6 6 6 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 9 12 12 9 4 2 10 14 10 9 9 6 5 4 5 7 11 13 10 8 9 6 1 -0 2 3 2 3 4 5 6 7 7 8 9 9 7 6 5 3 4 5 6 7 6 6 6 6 6 5 5 5 4 4 4 5 6 7 7 7 7 6 6 6 9 12 14 14 12 8 5 4 2 3 5 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 7 7 6 4 3 4 5 4 4 2 3 7 9 9 11 9 6 7 9 9 8 9 8 8 10 11 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 3 3 3 3 3 4 8 11 11 12 13 12 11 10 9 8 6 5 4 4 4 4 5 4 4 4 4 4 5 6 7 8 8 8 7 6 4 4 4 4 5 5 5 5 6 5 5 6 7 8 8 8 6 4 2 0 -0 -0 -1 -1 -1 -0 0 1 2 3 3 3 4 5 5 6 6 6 6 7 7 7 7 8 10 10 8 6 4 4 5 8 9 7 6 4 4 3 2 2 2 2 3 4 3 3 7 14 17 17 19 19 12 -1 -6 4 11 7 9 11 9 8 15 13 1 -12 -12 -8 -5 -3 -1 1 3 4 5 6 7 10 12 15 22 26 21 12 4 -0 -2 4 11 9 11 12 9 7 5 3 4 8 6 5 8 8 5 2 3 6 5 4 16 10 2 2 3 1 -4 -3 2 4 2 4 6 4 4 8 11 9 7 6 5 6 10 10 8 8 17 19 13 5 -4 -2 9 14 11 5 4 7 8 6 8 17 9 2 8 16 17 16 16 14 9 8 10 10 8 8 9 9 7 4 3 3 4 5 5 7 7 6 11 22 27 14 5 6 6 6 6 7 7 7 7 6 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 4 5 6 6 5 5 4 4 4 5 5 4 3 4 5 5 5 5 4 5 6 6 6 5 5 4 4 4 4 4 5 4 5 5 5 4 4 5 5 5 4 4 4 5 5 4 4 5 5 4 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 5 6 9 11 11 9 4 0 4 9 9 9 8 6 5 4 2 1 4 10 11 8 7 5 1 0 3 2 2 3 4 5 6 7 7 7 7 8 8 8 7 6 6 5 5 5 6 6 7 7 7 6 7 7 6 5 3 5 6 7 7 7 7 7 6 6 6 8 11 15 16 13 9 5 2 2 3 5 6 6 6 6 6 5 5 5 5 5 6 6 5 4 4 5 5 6 7 7 7 8 8 6 4 3 4 6 6 5 3 2 3 5 5 3 4 4 4 6 6 7 7 8 9 11 11 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 7 6 5 4 4 4 4 3 3 3 3 4 5 7 9 11 11 11 12 10 10 9 8 7 7 7 7 8 8 7 5 4 4 5 6 7 7 8 7 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 9 9 8 7 6 5 5 4 3 3 3 2 1 0 -0 -1 -1 -2 -2 -1 -0 2 3 5 6 8 9 8 7 4 3 3 5 6 6 5 4 3 4 3 2 2 2 2 4 14 25 27 16 5 -1 -3 -2 1 3 6 14 15 6 -4 -8 -7 -18 -24 -20 -10 -5 -3 -2 -1 1 2 3 4 5 8 14 22 24 19 14 12 14 11 7 5 6 5 2 -1 3 8 7 3 4 9 12 12 6 6 11 9 7 6 9 8 6 14 24 16 3 3 5 5 6 6 5 4 4 8 8 7 8 10 8 6 1 4 8 6 4 3 3 6 8 7 2 1 3 2 2 9 5 -6 -5 3 11 16 15 11 10 19 27 25 24 21 14 10 10 8 7 7 7 7 7 8 7 4 3 3 3 3 4 6 6 8 18 27 22 10 5 6 6 6 6 7 7 7 7 6 5 5 5 4 4 4 4 4 5 5 4 5 4 4 5 5 5 5 5 5 4 4 4 5 6 6 4 2 3 4 5 6 6 5 5 5 5 5 5 5 4 4 4 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 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 8 8 8 8 8 8 7 5 5 6 9 11 11 10 8 7 5 6 6 6 6 6 6 6 3 -2 -3 0 5 6 5 2 0 2 3 3 4 4 5 6 6 7 8 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 7 6 6 7 8 7 6 5 5 5 6 7 8 8 9 10 13 16 13 8 4 3 4 4 4 5 6 6 6 5 5 4 4 5 5 5 5 5 4 4 5 5 6 7 7 8 8 6 3 3 5 7 8 8 6 4 4 4 4 4 4 4 3 4 5 6 7 7 8 8 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 8 10 10 9 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 6 6 7 7 9 12 15 15 12 9 6 5 5 6 6 7 6 6 4 4 3 4 5 5 6 7 7 7 7 6 6 5 5 4 5 5 4 5 5 6 6 6 7 8 8 8 8 7 6 5 4 4 4 4 5 4 3 3 3 3 4 4 4 4 5 7 9 9 7 5 4 4 3 4 5 6 6 4 7 16 22 16 8 3 -1 -2 3 7 7 1 1 19 16 17 18 3 -5 -6 -6 -7 -6 -7 -5 -2 1 4 5 6 7 9 15 22 21 17 15 14 12 9 6 7 13 13 10 7 10 10 5 5 4 3 6 12 13 7 5 2 1 1 4 6 6 3 3 7 -1 -0 5 4 7 8 9 9 9 10 11 12 14 13 11 11 10 3 2 6 11 10 4 1 3 4 6 7 3 0 8 8 7 4 1 1 2 5 6 9 13 15 15 14 12 9 8 9 8 7 6 6 7 7 6 6 8 8 6 3 2 3 4 4 3 4 5 7 10 14 22 22 12 6 6 6 7 7 7 7 6 5 5 5 5 4 5 5 4 5 5 5 4 4 5 6 6 5 5 4 4 4 4 3 4 5 4 4 3 5 6 5 6 7 6 6 6 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 7 7 8 9 9 8 8 8 8 8 6 5 5 8 11 16 15 9 7 7 7 6 6 6 5 6 6 6 5 4 2 3 2 -0 2 3 3 4 4 5 5 5 6 6 7 8 9 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 5 3 3 3 3 4 5 5 6 8 9 10 10 11 15 17 14 8 4 3 3 4 4 4 4 6 7 6 5 5 5 5 5 5 5 5 5 3 3 4 6 6 6 5 3 2 3 5 7 9 13 15 13 10 6 5 5 4 3 5 6 7 8 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 9 10 10 8 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 7 10 12 13 12 9 7 6 5 5 6 5 5 4 4 4 5 5 5 6 6 7 7 7 6 6 6 6 6 5 5 4 4 4 5 5 6 6 7 7 8 9 8 8 8 7 7 7 8 8 7 7 6 6 5 6 5 5 3 3 4 6 9 9 7 5 4 4 4 5 5 6 8 13 14 7 1 -0 -4 -3 2 10 12 8 0 -4 -3 2 6 8 -10 -20 -24 -23 -19 -11 -6 -2 2 6 7 7 8 12 15 18 20 16 14 17 18 14 6 -0 -1 9 14 8 5 7 6 2 3 6 7 7 10 5 1 4 4 5 5 8 7 4 6 9 10 7 5 5 5 7 6 6 7 9 10 11 12 14 13 12 14 12 6 5 5 11 12 6 5 7 8 10 14 15 13 10 6 1 -6 -0 7 6 6 7 10 12 11 11 11 10 8 9 10 9 7 7 7 6 7 6 7 8 8 6 4 2 2 4 4 3 3 5 6 7 12 24 27 14 4 4 6 7 6 7 6 6 5 5 5 4 5 5 5 6 5 5 5 4 5 5 6 6 5 5 4 4 4 3 3 3 4 4 3 4 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 7 7 7 7 7 7 8 8 8 8 7 7 9 8 10 13 10 7 6 6 6 6 6 6 5 5 5 5 4 3 5 4 0 2 3 3 3 4 5 5 6 6 6 7 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 8 8 6 5 5 6 6 5 5 5 6 6 8 10 10 10 12 16 17 14 9 5 4 4 4 4 4 5 5 5 5 5 7 6 5 5 5 5 5 5 4 4 3 4 5 5 4 2 3 4 6 8 11 14 14 11 8 5 4 3 2 2 3 5 7 7 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 10 10 10 9 8 7 5 5 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 6 8 11 12 12 9 7 6 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 4 4 5 7 10 10 8 6 5 5 4 4 6 9 8 2 -6 -9 -10 -8 5 13 16 14 10 4 -6 -16 -3 1 -7 -17 -22 -22 -18 -11 -4 1 5 8 9 9 9 15 22 22 18 15 11 10 12 13 10 5 1 0 8 14 8 7 9 10 6 4 6 4 2 2 1 1 3 5 4 5 9 4 2 9 11 11 15 11 5 4 6 6 3 3 5 8 9 10 12 15 18 18 13 10 10 10 14 8 2 2 6 12 17 22 21 16 9 5 -0 -2 4 8 9 12 14 13 10 9 8 7 6 7 10 11 9 8 7 6 6 7 6 6 8 9 8 6 4 3 3 4 3 3 4 5 7 15 27 27 13 3 3 5 6 6 6 5 5 5 5 5 5 5 6 7 7 7 6 5 5 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 4 7 9 9 8 7 6 6 6 6 5 5 5 5 5 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 5 4 4 5 5 5 4 4 5 5 5 4 4 4 3 4 3 4 4 5 6 6 6 6 6 6 6 7 7 8 10 10 10 12 9 6 9 8 7 6 6 5 5 5 6 5 5 5 6 6 4 5 6 4 2 3 4 4 4 5 6 6 6 7 7 8 8 8 8 6 6 7 6 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 6 9 10 9 7 7 7 7 6 6 5 5 6 7 9 10 10 10 13 18 19 16 11 7 5 4 3 4 4 4 4 4 5 6 6 6 7 7 7 6 6 5 4 3 3 3 4 4 3 2 3 4 6 8 11 12 11 9 6 5 4 3 2 1 3 6 7 7 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 11 11 11 11 10 10 9 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 5 7 9 12 12 10 8 6 5 4 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 5 6 6 6 5 5 6 6 6 7 8 7 7 7 6 7 7 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 7 6 5 6 10 12 11 8 7 5 5 6 8 7 3 -1 -4 -6 -7 3 13 14 13 10 10 10 3 -4 2 7 2 3 0 1 3 6 9 10 11 11 9 10 14 22 26 21 15 12 11 9 8 7 8 7 5 4 7 10 8 9 12 15 12 9 4 -2 -2 1 4 5 4 2 2 6 6 -0 -1 6 7 9 14 11 5 4 5 6 4 3 5 8 9 9 10 15 18 15 9 11 13 13 11 4 2 3 5 11 13 14 13 11 6 2 0 4 5 6 12 19 20 14 9 7 5 3 4 6 8 9 8 7 6 5 6 7 5 6 7 9 9 7 6 4 3 2 3 3 3 5 8 17 24 20 13 7 4 4 5 5 5 4 5 5 5 6 5 5 6 7 8 7 6 5 6 7 7 6 5 5 4 4 5 5 3 3 3 3 3 2 0 3 8 11 11 9 7 7 7 6 6 5 4 4 5 5 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 8 12 11 11 16 15 8 7 7 7 7 6 6 5 5 6 6 6 6 7 8 6 3 4 4 4 4 4 4 4 5 6 6 7 7 7 7 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 7 8 11 12 10 7 6 7 7 7 7 7 6 5 6 8 10 10 11 11 14 19 21 18 13 10 7 5 4 3 3 3 4 4 4 5 6 8 8 8 7 7 6 5 4 3 3 3 4 4 3 2 2 5 7 9 9 9 8 7 5 6 6 6 5 4 4 5 7 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 11 12 12 12 12 12 12 11 10 10 9 9 8 7 6 5 4 4 4 4 4 4 5 4 4 4 4 4 3 4 6 9 11 12 11 8 6 5 4 4 4 4 5 6 6 6 6 6 6 6 5 4 4 5 6 6 6 6 6 5 6 6 8 9 10 9 7 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 7 7 9 12 13 10 8 6 8 12 12 7 4 3 2 2 3 9 9 7 5 5 10 13 10 3 4 14 24 29 24 19 18 18 16 14 11 9 9 13 18 20 16 13 11 12 12 10 10 10 10 10 9 7 5 5 4 7 11 13 11 10 7 1 0 -0 4 8 6 2 3 7 2 1 4 5 5 7 10 8 4 4 7 8 7 8 9 8 7 7 8 12 14 10 6 9 12 12 8 5 6 6 6 8 2 4 8 6 2 -1 2 6 2 5 15 18 14 10 6 4 4 4 5 6 7 8 7 6 4 4 6 7 5 4 6 7 7 8 9 8 4 2 2 2 3 5 8 12 14 16 18 14 8 5 5 4 4 4 4 5 6 6 6 6 6 6 7 7 6 6 7 8 8 7 5 4 4 5 5 5 4 3 3 3 2 1 -1 3 10 13 11 9 7 8 8 7 6 5 4 4 5 5 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 5 5 6 9 12 10 9 16 18 9 6 7 8 7 7 7 6 5 6 7 6 7 9 10 6 0 1 3 4 4 4 4 4 5 6 6 7 7 7 7 8 8 8 7 7 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 9 12 12 9 6 6 7 7 8 8 8 6 5 6 7 10 11 11 11 12 16 19 21 19 16 13 9 6 3 3 3 3 3 3 4 6 6 7 8 8 7 7 6 5 5 4 4 4 3 3 3 3 3 5 7 7 6 6 6 5 5 6 7 7 6 4 4 5 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 10 11 11 11 11 11 12 13 12 13 12 12 11 10 9 7 6 5 5 4 4 4 4 4 5 4 4 4 4 4 4 6 9 11 12 10 8 7 6 5 5 5 5 7 8 7 6 6 6 6 5 4 4 5 6 6 6 6 6 5 5 6 7 10 11 11 9 7 5 4 4 5 6 7 8 8 7 7 7 7 7 7 7 7 8 9 9 8 7 7 9 11 10 7 6 5 4 4 7 7 6 5 4 4 6 8 5 -0 4 13 14 8 3 7 18 28 29 26 22 19 17 13 10 8 8 12 17 16 11 8 8 9 10 9 9 12 13 13 14 11 10 7 4 2 2 6 9 8 9 9 6 4 2 5 8 5 5 8 9 4 5 7 4 4 6 7 6 4 6 10 10 10 11 10 5 5 5 5 7 10 8 6 7 9 9 7 7 8 7 8 5 1 6 8 5 -1 -4 2 7 4 7 13 12 8 4 2 3 8 10 9 7 7 7 6 4 2 3 7 8 6 5 5 5 4 6 9 12 10 4 1 1 4 6 6 7 9 13 17 17 15 13 7 4 4 3 2 4 6 6 6 5 5 5 6 6 5 6 9 9 8 6 5 5 5 6 5 4 3 3 3 3 3 1 0 4 11 13 11 8 8 8 9 7 6 5 4 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 4 4 4 5 9 11 10 8 12 14 9 7 8 8 7 6 7 7 7 7 7 7 8 10 9 4 -1 -1 3 4 3 4 4 4 5 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 8 7 10 13 11 7 6 6 7 8 8 8 8 7 7 7 8 9 11 12 12 12 13 15 18 20 19 18 15 12 8 5 4 3 2 3 3 4 4 6 8 8 8 8 8 6 6 5 5 4 4 4 4 3 3 3 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 8 9 9 9 9 9 10 10 11 11 12 12 11 10 9 9 7 7 7 5 5 4 5 4 4 4 5 4 4 4 5 6 8 9 10 10 9 9 9 8 7 8 9 10 8 6 5 5 6 5 4 4 5 6 7 6 6 5 5 5 5 7 10 12 13 12 9 6 4 3 3 5 8 10 10 9 8 6 6 7 7 7 7 8 9 9 8 7 7 7 8 6 5 5 2 -2 2 9 9 6 5 4 5 8 11 5 -3 7 18 16 8 9 18 19 16 14 12 11 9 7 6 5 7 13 18 17 11 7 8 9 9 8 7 7 10 11 11 14 12 11 9 6 3 -1 3 7 11 10 8 7 4 5 11 12 6 7 8 6 6 6 4 5 4 7 9 7 6 10 13 10 7 8 5 1 3 5 2 4 7 8 8 7 10 11 8 7 7 6 5 0 9 12 7 2 -6 -7 1 10 12 11 8 7 6 3 2 7 15 16 12 8 8 7 5 3 2 3 7 9 8 6 5 4 3 2 5 10 14 11 6 4 5 4 5 5 7 10 12 15 22 22 11 6 6 2 1 3 5 6 6 6 6 5 5 4 5 7 9 9 7 6 5 6 6 5 4 3 3 3 2 3 3 3 4 8 13 12 9 8 9 9 9 8 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 5 8 10 10 8 10 13 10 7 8 7 6 5 6 7 9 8 7 7 8 9 6 -1 -3 0 3 3 3 3 4 4 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 9 8 8 11 12 10 6 7 7 6 8 8 8 7 7 7 8 8 9 11 12 12 11 12 13 14 16 18 18 18 16 14 11 9 7 7 7 6 5 4 5 7 7 7 7 7 7 7 6 5 5 5 5 5 5 4 3 4 5 5 5 5 5 5 4 4 4 4 5 5 4 3 2 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 7 6 6 7 6 6 6 7 8 9 10 10 10 10 10 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 6 6 6 8 9 10 12 13 12 11 12 12 10 7 5 4 5 6 5 4 4 4 5 6 6 6 5 4 5 5 7 8 10 13 13 12 8 5 3 4 6 9 11 11 8 6 5 5 7 7 8 9 9 8 8 8 8 8 8 6 5 4 4 5 9 12 11 8 5 5 5 6 8 9 0 -3 7 21 25 24 24 21 10 -1 -4 -4 -3 -2 0 3 6 13 20 21 14 5 4 7 9 8 8 8 9 8 8 11 14 13 12 10 7 6 3 4 8 11 8 6 8 4 8 15 14 10 10 7 3 4 4 6 7 7 10 12 12 9 12 13 9 6 7 3 1 3 5 3 4 8 10 11 11 13 13 10 6 5 6 6 4 16 14 5 -0 -7 -7 3 13 18 15 8 6 5 3 5 12 17 16 12 9 8 7 5 4 3 4 6 9 9 8 6 4 4 3 2 3 8 13 13 10 6 4 3 4 5 7 8 13 22 21 11 12 13 5 1 2 4 5 5 6 7 6 5 5 6 7 8 7 5 5 6 7 6 5 3 2 2 2 3 3 5 6 9 13 15 12 8 8 9 11 10 8 6 5 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 7 9 9 6 10 17 13 7 8 7 6 6 6 7 8 8 7 6 7 8 4 -5 -5 1 3 3 3 3 3 4 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 8 11 11 8 7 7 7 7 7 7 7 6 6 7 7 8 10 11 11 12 12 12 13 13 15 16 16 15 15 16 15 13 12 13 13 12 9 6 6 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 4 3 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 7 6 6 6 6 5 5 5 5 5 6 7 7 8 9 9 10 10 11 10 9 8 7 7 6 7 6 6 6 5 6 6 6 5 6 7 9 11 13 13 12 12 11 9 6 4 4 5 6 6 4 4 4 4 5 6 6 5 4 5 6 7 7 8 11 12 13 11 8 7 6 7 9 10 9 7 5 5 5 6 7 9 10 10 9 8 8 9 10 9 8 6 6 8 10 13 13 9 5 4 4 5 6 7 5 -1 -2 8 21 26 26 16 3 -6 -12 -14 -12 -7 -0 4 7 13 20 22 16 9 3 2 4 4 4 5 7 9 8 9 12 14 16 13 8 5 8 7 6 8 8 6 6 8 6 15 15 8 10 14 9 3 2 5 7 7 9 9 11 16 12 10 7 5 6 6 2 4 7 5 4 6 9 11 11 11 13 13 9 5 7 14 14 13 15 7 4 7 -2 -6 5 15 18 15 8 5 4 4 9 13 14 13 12 10 8 7 6 5 4 5 7 8 8 8 7 5 6 6 4 2 2 7 14 14 9 4 3 3 4 5 6 11 17 17 15 17 18 8 1 2 3 3 5 6 7 6 6 6 6 7 7 5 3 4 5 7 6 3 2 1 2 3 4 6 7 10 13 14 14 11 9 9 10 12 10 7 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 7 5 8 16 16 9 8 7 7 7 6 6 6 6 6 6 6 7 6 -3 -6 1 2 3 3 3 3 4 4 5 6 6 7 8 9 9 8 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 6 8 11 10 7 7 7 7 7 7 7 6 5 5 5 6 7 8 9 10 11 12 12 12 13 14 15 14 14 14 14 15 15 14 14 14 14 13 10 9 9 9 7 6 5 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 9 8 8 8 8 7 6 6 6 5 5 5 5 6 6 7 8 9 9 9 9 9 8 7 7 7 7 6 5 6 7 6 7 6 5 5 5 7 8 8 8 8 8 8 7 6 6 7 7 6 5 4 3 4 4 5 5 5 5 6 7 7 7 7 8 10 12 12 10 9 8 7 8 8 8 8 6 5 5 5 6 7 9 9 9 9 9 10 11 11 11 11 12 13 14 12 9 5 3 3 5 6 8 12 8 4 -0 8 21 20 7 -6 -18 -19 -15 -14 -7 4 8 9 12 19 21 15 9 7 5 5 5 3 2 3 5 6 5 8 10 11 11 11 7 5 9 9 5 7 7 6 6 4 5 15 10 4 7 9 5 3 4 5 4 4 8 7 12 20 13 5 1 2 4 6 7 8 8 6 6 8 9 11 12 11 12 14 9 6 15 24 19 13 10 4 7 12 -2 -6 6 12 12 12 8 5 5 8 12 13 11 11 11 9 6 5 5 6 7 7 8 8 7 6 6 6 7 8 7 5 3 3 9 13 9 4 4 4 4 4 5 8 11 16 21 17 9 3 2 6 6 6 6 6 6 5 5 6 7 7 6 3 2 3 5 6 4 2 1 1 2 4 6 9 11 12 12 11 11 10 10 10 12 12 10 7 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 7 8 14 15 10 7 8 7 6 6 6 5 5 5 6 6 6 6 2 -2 -0 2 2 3 3 4 4 4 5 5 6 7 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 7 6 9 10 7 5 5 6 6 6 7 6 5 4 4 4 4 5 7 7 8 9 10 10 10 11 13 14 14 14 14 15 15 14 14 13 13 12 12 12 12 13 14 14 12 10 8 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 4 4 5 5 6 5 5 6 6 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 9 9 9 9 9 9 10 11 13 14 13 10 9 8 8 7 7 7 6 6 6 7 9 10 10 9 9 8 7 8 8 8 7 6 5 5 5 6 6 5 6 5 5 5 5 5 5 7 9 10 8 4 3 5 8 9 9 8 7 7 7 9 11 12 12 10 8 7 7 7 7 6 5 4 4 6 8 6 5 5 6 7 7 6 4 3 3 3 5 6 9 11 13 13 13 11 7 4 3 3 5 7 8 10 9 8 5 5 7 5 0 -17 -31 -27 -13 -5 -2 -1 1 5 11 6 1 12 18 14 7 5 7 10 12 11 10 10 9 7 8 6 5 10 14 19 18 8 7 10 9 3 4 9 6 4 0 0 2 1 7 5 7 9 9 0 4 10 9 3 1 8 12 6 4 3 4 6 11 13 11 8 7 11 17 13 2 -0 6 11 11 11 6 1 3 7 6 2 3 3 -3 -10 4 9 -3 -3 11 14 9 8 10 12 11 11 9 6 4 5 8 8 8 8 8 9 8 7 5 6 9 7 5 6 7 6 4 3 4 6 7 9 8 6 6 6 6 5 6 6 6 7 9 8 7 7 8 11 13 15 18 19 13 6 5 6 5 4 4 6 5 4 2 3 4 3 2 2 6 9 10 9 5 3 4 6 8 9 9 9 8 8 8 7 6 5 5 4 4 4 4 4 4 3 3 3 5 6 7 6 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 3 3 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 6 11 14 13 9 10 10 8 5 5 5 6 7 7 6 5 4 2 2 1 0 1 3 4 4 5 4 3 4 5 7 8 9 10 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 8 8 6 4 3 4 5 5 5 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 6 7 7 7 8 9 10 11 13 14 15 15 14 13 12 12 12 13 16 18 20 20 17 13 10 8 6 6 6 5 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 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 10 8 8 7 12 16 19 17 15 12 11 6 8 17 17 14 14 15 12 7 7 8 12 15 16 15 11 7 5 7 9 11 11 11 12 14 15 19 20 18 16 15 15 15 15 15 14 11 9 7 7 11 16 18 17 18 21 22 17 11 7 4 5 7 7 7 7 8 10 12 14 14 13 11 10 11 10 11 11 11 12 13 13 12 11 9 8 9 10 11 11 11 11 11 13 15 14 13 12 10 9 9 10 10 10 10 11 10 10 11 12 13 13 13 14 13 13 11 10 11 12 13 13 13 13 15 19 19 14 12 10 10 11 12 12 12 12 13 14 13 13 14 15 15 14 13 14 15 15 14 13 14 13 13 12 12 14 14 14 14 13 12 11 11 12 11 12 12 12 12 11 11 11 12 13 13 12 12 10 7 6 9 17 21 17 16 16 16 16 16 15 13 13 15 16 17 15 14 14 14 16 17 17 16 17 18 20 20 20 20 20 20 19 18 17 17 17 17 16 14 12 12 12 14 16 16 16 15 14 15 15 16 17 17 17 16 17 17 18 17 16 16 17 19 19 17 16 15 14 14 14 14 14 13 13 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 11 10 10 10 9 9 10 11 12 14 18 20 18 14 8 4 3 3 4 6 7 8 8 8 7 6 5 5 6 6 5 6 6 7 7 7 7 9 11 12 12 11 12 11 11 11 11 10 9 8 5 4 4 6 8 9 10 12 12 12 11 11 12 12 11 11 11 11 11 11 11 12 13 15 16 14 13 13 16 16 12 9 6 2 1 5 9 11 12 12 12 11 11 12 12 11 11 11 12 13 16 19 21 19 15 14 14 14 14 14 13 13 13 13 14 16 18 20 19 17 16 14 15 16 16 15 14 12 11 11 10 9 10 10 11 12 13 13 13 13 12 12 13 13 13 12 11 11 12 13 14 14 14 13 13 16 19 23 23 17 9 9 11 13 12 10 11 13 13 13 12 11 12 15 15 15 15 15 15 15 15 16 15 16 17 16 14 12 11 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 4 3 12 18 18 12 11 14 19 17 10 8 9 13 16 14 10 8 7 8 11 13 13 13 12 13 13 18 18 14 11 10 11 11 14 15 11 8 7 5 7 11 15 16 16 15 16 17 14 10 7 5 7 7 7 7 7 9 10 11 13 15 14 13 12 11 11 12 13 14 14 16 16 15 14 12 11 11 11 11 11 11 11 11 12 13 14 14 12 10 10 11 11 10 9 8 9 9 11 13 13 14 13 13 12 12 12 11 11 12 13 14 13 13 13 15 18 17 14 12 12 12 12 11 11 12 13 13 14 14 14 14 14 14 13 14 14 15 15 15 14 12 11 12 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 12 11 12 12 12 13 13 12 11 10 7 4 3 11 20 23 24 21 17 16 16 15 13 12 13 14 15 15 15 16 16 16 15 15 15 16 17 18 19 20 21 21 21 20 18 18 16 16 15 15 14 13 13 13 13 15 16 16 16 15 15 15 14 16 19 17 16 16 15 15 14 14 11 10 13 15 17 18 17 16 15 15 15 14 14 13 13 13 13 13 14 14 14 13 13 12 12 12 12 12 13 13 14 14 15 15 16 16 15 14 14 13 13 12 12 12 11 11 10 10 10 10 10 11 12 14 17 18 19 16 11 6 4 4 5 6 8 9 9 8 7 6 4 4 4 6 7 7 8 8 8 8 9 9 9 9 10 11 12 11 11 11 11 11 11 10 9 7 6 4 4 6 8 9 10 10 11 11 12 12 12 12 12 12 11 12 13 13 12 12 12 13 14 15 15 15 15 11 5 2 -0 2 5 9 11 11 12 12 11 11 12 13 12 12 11 11 12 15 18 22 22 17 14 12 13 15 15 14 14 13 14 13 13 14 14 14 14 14 14 14 16 17 17 15 14 12 11 10 11 10 10 11 11 13 14 13 12 11 12 13 14 14 13 11 10 10 12 13 14 14 14 14 15 16 19 22 19 12 8 9 11 11 11 12 12 12 12 12 12 13 13 14 14 15 16 15 15 15 15 15 16 16 16 16 14 13 12 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 17 10 9 15 15 11 6 8 11 12 11 10 9 11 12 12 13 14 14 12 11 12 15 14 9 8 9 10 12 16 16 14 11 8 6 7 10 12 11 10 9 9 10 11 9 7 6 7 7 8 9 11 13 12 11 11 12 12 13 12 10 11 13 16 16 15 13 15 15 13 13 12 12 12 12 12 12 11 10 10 11 13 14 13 13 12 13 13 11 9 7 6 7 11 14 15 14 13 13 12 12 11 11 12 14 14 14 14 13 14 13 13 13 13 13 12 13 13 12 11 12 15 15 13 14 15 15 14 13 14 14 13 15 16 15 14 13 12 12 13 14 14 14 15 15 14 14 13 13 13 12 12 13 13 13 12 12 13 13 11 12 12 12 12 11 7 2 3 8 16 23 29 27 21 17 15 14 13 12 13 14 14 14 17 17 15 15 14 15 16 17 17 17 18 20 21 21 19 19 19 17 16 16 16 15 15 15 14 14 14 15 17 17 17 15 14 13 16 18 17 15 14 14 13 14 14 12 10 10 12 14 16 16 17 16 15 15 15 15 15 15 14 14 14 14 15 14 14 14 13 12 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 12 11 11 11 11 11 11 11 11 11 12 14 15 17 17 15 11 6 4 3 5 7 8 8 9 9 9 8 7 5 4 5 6 8 9 10 11 11 10 10 11 11 12 11 11 11 12 11 12 12 10 11 11 10 10 9 8 7 6 7 8 9 9 9 10 10 11 12 12 12 12 12 13 13 13 13 13 12 13 14 16 17 17 16 13 9 6 6 8 11 12 12 12 12 11 11 11 12 12 12 13 13 12 11 12 14 17 20 19 15 13 13 14 14 14 14 14 13 13 13 13 13 13 14 14 14 13 15 16 17 16 14 12 10 9 10 11 11 11 12 12 14 14 12 11 12 14 15 14 13 11 10 9 10 11 12 13 14 15 16 17 16 16 20 17 11 10 10 10 8 10 11 12 11 11 11 13 14 14 14 15 14 14 15 15 16 16 16 16 15 15 15 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 12 14 14 13 12 13 12 10 9 9 10 11 12 14 15 14 14 14 13 14 15 17 18 15 10 6 6 7 8 6 5 4 5 6 7 7 7 7 7 7 6 8 11 11 11 11 10 9 10 10 10 9 11 13 15 16 13 10 13 13 12 12 12 12 11 12 11 11 10 9 9 10 12 13 13 12 12 12 12 12 10 7 5 7 11 14 14 14 13 13 12 12 11 11 12 14 15 14 13 13 12 11 11 12 13 12 12 13 15 14 10 11 15 15 15 14 15 15 13 14 15 15 14 14 16 15 13 13 12 13 13 14 14 14 15 15 14 14 14 13 14 14 13 13 14 13 12 12 13 13 13 12 11 11 12 14 11 7 2 -1 4 12 32 39 25 18 15 14 14 13 13 14 14 14 16 16 15 15 15 14 14 16 16 15 14 17 22 25 22 19 20 19 17 17 17 16 15 15 15 14 13 14 14 15 16 15 14 14 15 15 16 15 15 15 14 14 14 15 13 11 10 10 11 12 15 16 15 15 15 14 15 15 14 14 15 14 14 14 14 14 14 13 14 14 14 14 14 14 13 13 13 12 13 13 13 13 13 12 11 11 11 12 11 12 13 14 14 16 16 17 16 12 9 5 5 6 7 9 9 10 10 10 10 9 9 8 7 7 7 9 10 11 11 11 12 12 11 12 12 11 12 12 11 12 12 12 11 10 10 10 10 11 10 10 10 8 7 7 7 8 9 10 10 10 11 12 12 12 13 14 14 14 13 12 12 14 17 18 17 15 13 12 10 8 10 12 13 13 11 11 11 11 11 11 11 12 13 13 13 13 12 13 14 18 20 17 15 14 13 14 13 13 13 13 13 13 13 12 12 12 13 13 13 14 15 16 15 13 12 11 10 10 10 10 11 13 14 15 16 15 13 12 13 15 16 15 12 10 9 10 11 12 13 13 14 15 17 19 18 17 17 17 14 12 10 9 9 11 13 12 9 9 10 12 13 13 13 14 15 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 8 10 12 13 15 18 19 17 16 15 15 16 16 15 14 13 11 8 7 7 6 6 7 5 3 2 2 6 9 11 12 11 10 9 10 11 12 12 10 9 8 9 10 13 15 14 13 10 10 12 12 12 13 12 12 12 12 13 13 12 11 11 11 12 13 13 12 12 12 12 11 9 7 6 7 11 13 13 13 13 13 13 12 12 13 13 14 15 14 12 10 9 11 13 13 13 13 14 15 15 12 9 10 14 15 15 15 15 12 12 15 18 17 16 15 14 13 13 13 13 13 14 14 14 14 14 15 14 13 14 14 14 14 14 14 13 13 13 13 14 13 13 13 13 13 11 12 12 11 7 1 -5 -2 24 42 32 23 17 14 13 13 13 14 14 14 16 16 15 15 16 15 15 16 15 12 7 8 17 26 26 21 22 20 18 18 17 16 15 14 15 15 14 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 12 11 11 10 10 10 12 15 15 15 14 14 14 15 15 15 15 16 16 15 14 14 15 15 14 13 13 13 13 14 12 12 13 12 12 12 12 12 12 13 13 14 15 15 17 18 19 20 20 20 18 15 11 9 8 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 11 11 12 12 12 12 11 12 12 12 12 11 10 10 11 10 11 12 11 9 8 7 6 7 9 10 11 11 12 13 13 13 14 14 14 13 12 11 12 14 16 16 12 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 12 12 12 13 14 13 13 13 16 20 22 20 17 14 14 14 13 13 13 13 12 12 13 12 12 12 12 12 12 14 14 13 12 11 11 12 13 13 12 12 13 14 14 14 14 14 13 11 13 14 14 12 10 9 10 10 11 12 13 14 15 15 15 15 15 16 17 17 15 11 9 9 11 13 14 13 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 13 12 12 11 10 9 8 8 7 7 8 10 13 15 16 18 21 25 28 30 28 22 17 16 14 13 13 13 14 15 15 16 16 16 17 18 16 15 16 18 18 17 15 14 13 12 11 10 8 8 7 7 7 7 7 7 7 9 12 14 13 12 12 12 12 12 13 13 10 7 5 6 6 7 7 6 6 6 6 4 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 1 5 11 14 10 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 2 6 6 4 4 6 7 7 6 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 6 19 16 4 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 5 21 51 74 80 80 80 81 80 70 53 44 61 77 74 72 98 131 142 134 119 107 99 93 80 70 71 63 40 31 45 68 92 115 128 133 133 140 152 158 158 161 161 156 139 127 129 132 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 13 13 13 12 12 11 10 10 9 8 8 8 11 13 15 16 18 19 22 24 22 16 13 12 12 12 11 11 12 13 13 14 14 15 16 16 17 16 15 16 15 17 16 14 13 12 11 10 8 7 6 6 6 6 6 6 6 7 9 12 13 13 12 12 12 13 13 12 9 7 6 6 6 7 7 7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 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 6 7 7 8 8 7 3 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 1 8 16 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 59 76 79 81 82 81 79 72 66 74 89 102 111 126 134 131 128 124 117 111 110 108 106 103 85 72 76 89 104 128 137 138 135 142 153 160 165 171 173 172 172 161 149 143 137 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 13 13 13 13 12 12 12 12 11 11 11 11 12 12 13 13 14 14 15 16 16 14 11 11 12 12 12 11 10 10 11 11 12 13 14 14 15 16 16 16 15 14 16 15 13 12 12 10 9 7 6 6 6 6 6 6 6 6 7 9 12 14 13 12 12 13 12 11 8 6 6 6 6 7 7 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 8 9 9 8 5 2 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 1 7 12 6 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 1 11 30 57 75 77 76 78 80 80 79 75 76 86 102 115 119 114 107 113 119 118 114 116 120 114 104 99 100 107 116 128 142 142 140 142 151 163 170 172 168 163 170 177 171 158 145 132 124 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 12 12 12 12 12 12 12 10 9 8 9 10 11 12 13 13 14 14 14 14 13 14 15 14 12 12 12 10 8 6 6 6 6 6 6 6 6 6 7 8 11 13 13 13 13 11 8 6 6 6 6 7 6 6 6 6 6 5 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 9 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 8 28 61 83 83 71 67 74 77 77 82 87 86 92 100 108 111 104 98 103 112 115 114 115 118 115 110 114 120 127 132 131 134 137 138 141 149 160 170 169 158 157 172 178 171 158 145 131 122 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 10 11 11 11 11 11 11 10 10 10 11 11 12 13 14 14 14 13 12 11 10 11 12 12 13 13 13 13 12 10 8 8 8 10 11 12 12 12 12 12 12 12 13 14 14 14 13 12 11 10 7 6 6 6 6 6 6 6 6 6 6 8 9 10 11 11 8 6 6 6 6 7 6 6 6 6 6 6 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 4 4 2 1 0 0 0 0 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 1 4 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 6 3 2 1 1 1 1 0 0 0 0 1 4 4 1 0 0 0 0 0 0 0 0 0 2 15 46 79 97 89 63 53 62 74 79 87 97 101 96 94 101 103 99 96 98 104 110 114 116 118 117 118 122 127 129 126 124 126 131 135 136 139 150 159 160 157 163 177 176 166 156 148 138 128 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 9 10 10 10 10 10 9 9 9 8 8 9 10 12 13 14 15 14 13 12 12 12 13 14 14 14 13 12 12 11 10 9 10 10 12 11 11 11 11 11 11 11 13 14 14 13 12 12 10 9 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 6 6 6 6 6 5 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 2 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 12 11 7 5 5 5 5 4 2 1 2 4 9 8 2 0 0 0 0 3 6 7 5 3 13 29 50 72 96 95 71 52 53 68 83 95 103 104 99 94 96 97 97 95 93 95 101 110 116 117 117 118 120 124 126 122 119 119 122 128 136 143 148 156 163 166 174 183 178 164 156 152 147 144 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 8 8 9 9 9 9 9 8 8 7 6 6 6 7 8 9 11 13 14 15 14 14 14 14 14 14 14 14 14 14 13 12 11 11 11 11 12 11 10 10 10 10 10 10 11 12 12 12 12 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 3 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 15 15 13 12 13 13 12 11 12 11 11 11 14 10 4 6 4 6 4 14 20 22 24 18 32 48 55 72 93 99 86 63 54 62 81 99 109 109 103 96 93 94 94 94 92 89 91 100 110 116 118 119 122 126 127 122 117 114 114 120 136 151 155 162 174 178 187 194 186 169 156 152 153 157 158 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 6 6 7 7 8 8 8 8 8 8 7 6 5 6 5 5 5 6 7 9 12 14 15 15 15 15 15 14 14 13 14 14 14 13 12 12 12 12 12 11 11 11 10 10 9 9 8 9 10 11 11 11 10 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 5 5 5 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 17 17 19 22 22 19 16 16 16 16 17 19 15 8 13 15 22 24 29 29 28 29 32 38 49 55 68 87 99 96 80 64 61 74 94 109 112 106 99 95 93 93 94 94 90 87 90 100 110 114 116 119 125 130 125 119 114 115 126 143 156 162 174 186 193 200 203 196 179 163 154 156 164 167 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 6 7 7 7 7 8 7 7 5 4 4 4 3 3 3 4 5 8 10 13 14 15 15 16 16 14 13 13 14 15 15 14 12 12 12 12 12 12 11 11 10 10 8 8 7 8 8 9 10 10 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 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 1 5 12 20 24 26 28 29 26 18 12 8 10 15 23 29 28 25 27 36 37 33 32 31 31 34 39 46 52 63 81 97 103 97 82 69 68 80 99 110 108 101 98 96 96 96 98 95 88 88 97 107 108 108 110 115 122 125 124 121 121 130 144 158 170 183 195 204 209 210 205 192 177 167 165 169 168 156 nan nan nan nan nan nan nan nan 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 5 6 6 5 6 6 6 6 4 3 2 2 2 2 2 3 4 5 8 10 12 14 15 16 16 15 13 12 12 14 16 16 15 13 12 13 13 12 12 11 10 10 9 8 7 7 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 3 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 9 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 1 0 0 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 24 26 26 30 31 24 12 5 6 14 25 44 58 57 52 59 58 50 44 42 40 42 44 47 53 62 74 88 104 111 104 91 78 77 88 102 106 101 101 102 101 100 102 100 94 92 98 107 110 109 108 109 112 120 127 128 127 130 140 155 170 185 198 204 207 207 203 196 189 183 178 174 168 149 nan nan nan nan nan nan nan 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 3 3 3 3 3 3 2 2 0 0 0 1 2 2 3 4 6 8 10 13 14 15 15 15 13 11 11 13 15 17 18 18 16 14 13 12 10 10 10 9 9 8 7 7 6 7 7 8 8 7 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 20 22 21 27 38 38 27 18 16 20 31 52 72 83 89 87 76 65 58 55 54 54 55 57 65 76 83 92 101 109 116 116 107 98 99 105 107 103 103 105 106 106 106 104 101 98 98 105 111 114 115 114 113 118 127 132 131 130 138 152 167 181 194 197 196 193 187 184 187 187 183 177 169 156 nan nan nan nan nan nan nan 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 2 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 11 13 15 15 14 12 10 10 10 12 14 15 16 16 14 12 11 10 9 9 8 8 7 6 6 5 5 6 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 1 2 7 13 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 22 28 27 31 44 50 42 31 29 35 45 60 75 85 90 88 82 73 69 67 66 64 66 71 79 90 98 106 108 105 117 123 128 121 118 120 119 114 110 108 108 109 109 108 106 102 99 101 108 115 119 120 120 121 126 132 132 129 134 150 162 171 182 185 184 176 168 167 171 173 172 169 166 162 nan nan nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 8 11 13 14 13 11 10 9 9 9 10 11 12 12 11 10 10 10 9 8 8 6 5 4 4 4 4 4 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 8 6 6 12 15 14 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 28 44 46 45 52 57 48 37 38 47 58 71 80 84 85 84 80 78 78 78 77 77 75 79 86 97 108 118 127 115 120 123 132 129 121 121 125 126 124 118 111 108 109 110 109 106 102 101 105 112 116 118 122 124 126 129 126 123 132 149 156 158 163 166 166 161 155 154 155 155 154 154 156 158 159 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 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 10 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 7 5 4 2 2 2 2 3 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 12 11 9 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 8 29 53 66 64 60 58 50 42 45 55 70 86 90 84 83 82 81 83 86 87 86 86 85 84 90 100 112 125 133 130 127 129 134 135 126 118 122 132 136 131 121 110 107 108 108 108 109 108 108 112 114 113 116 120 123 122 119 119 131 147 152 149 148 148 148 148 146 146 146 145 141 140 143 146 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 10 10 10 10 10 10 9 8 7 6 6 6 7 8 8 8 8 7 6 5 3 2 1 0 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 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 1 9 29 55 82 84 72 64 56 49 52 66 86 106 104 88 86 86 85 88 91 92 91 90 89 88 91 99 113 128 136 138 139 141 143 143 138 130 127 133 139 138 132 123 112 107 105 106 111 114 113 113 113 110 111 114 115 115 114 117 129 145 148 141 135 134 134 135 137 139 140 139 134 130 130 132 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 10 12 12 12 11 9 8 6 5 5 6 6 7 7 7 7 7 6 4 3 2 1 0 0 1 1 1 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 22 47 85 94 86 75 68 58 58 73 103 128 116 96 92 92 90 92 93 93 92 92 90 91 91 96 108 125 141 148 150 151 149 148 145 138 136 136 139 139 137 134 126 112 103 100 104 113 114 114 111 107 105 105 106 108 109 113 125 141 142 130 118 113 114 117 122 128 131 132 128 121 118 118 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 11 12 12 11 9 7 6 6 6 6 6 6 6 7 7 6 5 4 3 2 2 1 1 0 0 1 1 2 1 1 2 2 1 2 2 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 34 72 92 90 84 80 73 70 82 117 142 128 108 100 96 93 93 93 93 93 92 91 91 92 94 100 115 136 151 153 154 153 150 148 142 136 136 140 139 137 137 132 113 98 91 96 108 113 114 112 106 100 97 97 100 103 107 120 137 137 115 96 90 90 96 104 112 117 119 117 111 103 97 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 1 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 1 2 3 4 6 7 8 9 10 10 8 7 7 7 7 7 7 6 6 6 6 6 5 5 4 3 2 1 1 1 1 1 1 1 1 1 0 0 0 1 1 2 2 2 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 19 60 85 87 83 85 84 84 97 130 150 136 114 104 100 96 95 96 95 94 92 90 88 89 91 95 102 124 148 150 154 154 150 147 145 139 138 141 138 134 135 128 112 97 90 94 103 112 117 118 114 106 97 92 92 92 96 112 135 126 97 78 73 74 79 88 97 104 105 103 94 80 68 63 62 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 3 4 4 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 6 8 9 9 9 10 10 10 9 8 7 6 6 6 6 6 5 4 3 2 2 2 2 2 1 1 1 1 0 0 0 0 1 1 1 1 1 2 2 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 49 76 79 73 76 85 92 102 130 149 134 112 104 101 99 99 98 97 95 91 85 81 82 86 89 94 110 134 144 152 154 152 148 145 144 143 142 138 133 131 128 117 106 99 96 96 106 120 128 133 129 113 97 88 80 83 101 117 108 82 65 59 60 66 76 87 95 96 89 76 60 45 34 32 nan nan nan 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 6 7 8 8 8 8 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 11 12 12 12 11 10 9 8 7 6 6 5 5 4 3 2 1 2 2 2 2 2 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 1 2 0 0 0 1 0 0 1 2 4 4 1 9 36 64 72 64 61 71 85 99 120 135 125 103 94 96 98 100 99 95 91 86 78 74 76 80 83 87 97 114 135 150 154 153 149 146 144 144 143 140 136 134 131 126 120 113 103 94 100 119 133 145 148 134 111 90 75 72 86 100 94 72 54 47 47 52 62 74 84 88 84 70 52 36 21 18 nan nan nan 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 6 7 8 8 10 11 11 10 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 9 11 12 13 13 12 11 10 9 9 8 6 5 4 3 2 1 1 1 2 2 2 2 2 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 3 5 6 4 2 2 3 1 0 0 1 4 8 7 10 28 55 68 61 52 61 78 92 106 116 108 89 83 85 89 95 94 90 84 78 71 66 68 72 75 78 84 95 115 136 147 149 148 144 143 145 145 142 140 137 133 130 129 124 114 104 102 112 126 141 147 138 116 95 77 69 76 87 86 67 47 36 33 36 45 56 69 77 79 68 53 36 22 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 2 2 3 5 6 6 7 8 10 10 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 3 4 6 8 10 12 12 12 11 10 9 9 9 8 6 4 3 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 10 9 8 8 5 2 0 0 0 4 11 13 13 24 47 62 59 53 58 71 83 92 98 91 79 75 77 79 83 83 80 75 69 63 58 58 60 64 67 73 81 94 111 128 139 144 143 142 144 146 144 142 139 136 132 131 128 122 115 108 109 117 130 135 126 113 101 88 78 77 84 87 70 43 25 19 20 27 38 52 63 67 61 50 36 25 20 nan nan 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 8 6 4 3 2 2 2 2 2 3 3 5 7 8 9 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 4 4 3 2 2 4 5 7 8 10 10 10 8 7 7 7 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 9 14 15 15 16 17 13 6 1 0 0 5 14 21 21 26 43 58 61 55 52 54 65 81 90 88 79 74 74 74 73 71 68 65 61 56 51 48 47 48 53 59 67 76 86 101 117 132 142 144 146 149 147 144 140 137 133 131 128 124 119 114 112 114 120 123 121 116 113 109 98 89 94 97 76 44 22 12 10 13 21 31 42 49 47 39 29 21 17 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 14 13 11 8 5 3 1 0 0 0 0 0 1 3 5 6 7 7 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 3 2 2 3 4 5 6 7 7 7 6 6 6 6 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 12 17 19 21 24 28 25 12 2 0 0 5 20 27 28 30 44 57 64 56 48 41 47 70 87 98 88 74 73 73 68 62 59 56 52 48 44 40 37 35 37 42 49 58 64 75 92 108 128 141 149 153 152 147 139 134 132 130 127 125 121 116 113 112 113 113 114 117 125 130 122 109 105 99 78 50 27 14 11 11 13 18 23 28 30 26 19 12 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 13 14 14 11 7 4 2 0 0 0 0 0 0 1 2 3 5 6 7 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 5 3 3 3 3 4 4 4 5 5 4 4 4 5 6 6 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 19 21 24 30 36 33 19 5 0 0 5 20 30 32 33 45 58 64 58 48 40 40 58 83 103 99 81 72 71 66 59 54 51 47 43 39 35 31 26 24 27 30 36 44 53 68 84 104 126 144 154 154 147 136 126 124 126 126 125 125 118 113 111 107 104 102 106 122 136 135 122 110 98 80 55 34 23 19 17 16 17 21 25 24 21 14 9 3 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 11 13 13 11 7 4 2 0 0 0 0 0 0 0 1 1 3 5 6 7 7 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 4 5 5 5 5 4 4 3 2 1 1 3 4 5 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 11 19 20 22 29 36 33 21 10 1 1 7 20 31 35 34 42 56 68 66 56 45 38 47 71 97 101 86 72 70 67 61 54 48 43 38 36 32 26 20 15 13 16 19 23 30 43 58 78 104 130 146 147 139 126 116 114 119 126 131 131 124 115 108 102 97 94 100 118 134 136 123 108 96 81 61 42 33 29 26 24 23 26 29 30 26 17 10 4 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 10 12 10 8 4 1 0 0 0 0 0 0 0 0 0 2 3 4 6 7 8 8 8 7 6 2 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 6 8 9 10 9 8 7 5 2 1 0 0 1 3 4 5 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 3 4 2 1 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 2 7 15 17 19 23 32 30 21 15 8 5 11 30 34 36 32 35 49 68 78 70 55 42 39 58 88 99 88 74 72 72 67 60 51 42 36 32 28 20 15 10 5 2 6 6 10 19 30 48 76 109 135 141 128 112 104 99 103 117 134 140 134 121 109 100 94 94 102 116 128 130 120 106 95 84 70 54 44 40 38 41 45 48 47 47 39 26 14 7 3 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 9 9 7 3 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 7 8 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 8 10 12 12 12 11 10 8 5 3 2 1 1 2 4 5 5 4 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 0 0 0 0 0 3 5 4 3 3 2 2 2 2 3 2 1 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 1 4 8 12 13 17 23 25 22 20 17 17 24 35 37 34 27 29 40 56 73 77 65 50 41 52 82 99 92 80 75 75 72 67 59 48 38 31 24 16 11 7 2 0 0 0 1 4 8 19 44 83 125 144 130 104 96 86 86 99 124 142 143 131 115 103 98 100 109 117 123 126 118 103 93 87 78 66 61 60 59 64 73 80 84 80 66 44 27 16 10 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 6 8 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 12 13 13 13 12 10 8 6 5 4 4 5 5 6 6 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 0 0 1 1 0 1 3 4 5 5 5 5 5 5 5 4 4 3 2 2 1 2 3 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 8 11 18 22 28 31 33 34 36 35 31 28 27 33 44 56 66 66 56 45 48 73 95 94 80 72 69 66 65 62 52 43 35 23 14 11 8 2 0 0 0 0 0 1 1 16 54 108 139 134 112 95 83 78 84 106 133 147 139 122 108 101 108 115 116 122 127 120 102 89 82 76 69 68 69 72 79 90 100 104 101 90 67 50 39 29 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 12 13 14 14 12 11 10 8 7 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 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 1 3 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 1 1 0 1 4 6 7 7 7 7 7 6 6 6 6 5 4 4 4 9 13 16 13 4 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 11 18 28 40 46 45 36 30 28 26 25 28 36 45 52 60 57 50 49 65 80 78 67 56 50 50 52 53 49 45 37 24 13 12 11 6 1 0 0 0 0 0 0 6 33 83 123 127 110 96 88 80 78 92 121 148 144 128 111 104 114 115 110 116 126 124 107 88 75 68 64 64 69 77 87 99 107 106 103 97 81 68 64 56 42 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 12 11 11 11 10 10 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 7 3 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 5 8 11 12 14 14 13 12 10 8 7 6 6 6 7 7 5 3 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 1 1 2 2 3 7 8 8 7 8 8 8 7 7 7 8 10 9 10 16 21 23 20 8 0 0 0 2 4 3 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 3 5 11 22 36 43 42 38 31 27 26 26 28 33 40 46 51 54 54 56 64 68 63 54 46 39 38 42 45 46 46 40 26 13 12 14 10 3 0 0 0 0 0 0 2 17 62 107 114 100 96 98 91 84 87 111 143 149 134 116 110 114 110 101 105 118 126 116 93 74 62 58 59 66 80 96 106 110 103 97 92 83 74 72 66 53 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 13 13 13 12 12 11 10 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 9 5 0 0 0 0 0 0 0 2 2 2 2 3 2 1 1 0 0 1 3 6 8 9 12 14 13 12 10 8 6 6 6 6 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 2 2 2 3 7 10 10 8 8 8 8 8 9 13 16 20 23 24 25 26 25 20 11 2 0 0 1 4 4 2 0 0 0 5 8 6 1 0 0 0 0 0 0 0 0 1 3 7 16 31 43 39 33 29 26 26 27 28 31 37 43 46 49 52 57 61 62 62 59 53 45 42 43 46 47 46 43 34 18 13 16 15 7 1 0 0 0 0 0 0 8 44 87 99 90 96 110 109 99 92 101 134 152 141 127 121 114 103 92 96 113 127 125 107 86 73 66 63 69 86 104 112 113 103 94 89 82 75 68 59 47 39 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 12 13 13 13 12 10 10 11 11 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 5 1 0 0 0 0 0 0 1 2 2 4 5 5 4 3 2 1 1 2 4 4 4 6 9 12 13 12 9 7 6 6 6 6 7 8 7 6 3 1 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 1 2 3 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 1 2 3 3 3 2 2 3 5 8 11 11 11 10 10 10 11 22 28 32 33 34 35 34 34 30 19 9 2 0 0 1 1 1 0 0 4 12 18 17 7 2 0 0 0 0 0 0 0 0 1 4 12 30 45 44 34 27 27 27 25 23 26 29 38 42 44 48 51 54 54 59 66 65 58 54 54 55 52 49 50 47 31 20 16 14 8 2 0 0 0 0 0 0 5 27 68 86 81 99 121 128 120 108 106 128 152 152 146 133 114 95 86 93 112 130 134 125 110 97 88 85 86 100 116 121 121 114 104 96 88 79 67 53 43 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 11 12 12 11 10 8 8 10 13 13 13 12 8 5 2 1 0 0 0 0 1 4 3 1 0 2 4 7 8 5 1 0 0 0 0 0 0 0 0 1 2 5 6 6 5 5 5 6 6 6 5 3 3 4 7 10 11 9 8 7 6 6 6 6 8 9 9 8 5 3 2 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 2 2 2 4 9 12 13 13 12 12 13 22 30 36 39 41 41 40 42 44 37 24 11 3 0 1 3 2 0 1 7 17 28 30 20 9 2 0 0 0 0 0 0 0 0 2 10 27 43 47 40 29 27 29 24 20 20 21 27 34 38 43 48 50 49 48 51 57 57 56 57 61 62 58 59 59 48 34 22 13 6 1 0 0 0 0 0 0 1 12 50 74 78 105 125 138 140 134 134 147 158 160 154 141 115 92 82 91 109 126 132 130 124 115 107 105 109 119 130 137 137 131 122 113 101 87 72 57 50 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 14 13 12 12 11 9 9 11 14 15 14 13 12 9 7 5 3 1 0 1 4 9 9 3 1 1 3 7 9 5 1 0 0 0 0 0 0 0 0 0 0 2 5 6 6 7 11 15 16 14 10 6 4 2 3 5 7 7 6 6 6 6 5 4 5 8 10 11 10 8 5 2 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 1 0 1 1 2 2 1 1 1 2 3 4 4 3 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 2 3 4 5 5 5 5 2 3 3 1 1 1 1 1 0 1 1 0 0 1 2 1 1 0 0 0 0 0 1 2 2 3 3 3 3 3 3 2 2 5 10 14 15 15 15 16 20 26 32 36 39 39 38 39 42 41 38 30 17 6 8 12 10 4 1 6 22 38 42 34 22 11 3 0 0 0 0 0 0 0 1 7 18 37 46 44 31 29 33 26 19 18 18 20 22 27 35 44 50 52 50 44 39 39 45 49 51 56 58 61 62 56 44 32 18 6 1 0 0 0 0 0 0 0 8 40 62 82 104 126 140 151 157 160 163 165 158 141 129 113 93 83 90 103 114 119 120 118 115 113 112 117 128 140 147 149 149 143 132 112 89 73 63 59 53 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 17 16 16 16 16 14 13 12 13 13 12 12 11 12 13 12 9 4 1 3 9 16 16 10 4 1 3 8 11 5 1 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 17 22 24 24 21 14 8 4 2 2 4 5 5 4 4 3 2 2 2 4 8 10 12 10 8 5 3 2 2 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 1 0 2 2 2 2 3 3 3 3 3 3 3 3 3 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 6 5 4 3 2 4 6 7 7 7 7 7 6 5 5 4 4 4 4 4 6 7 6 4 3 4 5 6 4 2 2 1 0 1 2 3 3 3 2 2 2 2 2 2 2 3 8 12 16 17 17 17 17 19 23 30 32 33 33 33 34 36 41 43 37 24 19 20 20 12 6 8 24 47 58 49 34 23 13 6 1 0 0 0 0 0 0 4 10 28 43 48 37 37 40 33 23 18 17 17 16 14 17 25 34 45 52 50 41 34 37 39 41 44 47 50 51 49 44 37 25 11 3 1 1 0 0 0 0 0 9 37 58 84 110 124 132 143 156 160 156 152 149 128 120 115 102 92 92 98 103 104 105 107 109 109 110 115 127 138 143 145 148 153 146 118 86 67 60 59 54 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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