Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 4 4 4 4 3 3 4 4 4 3 4 5 5 6 6 6 7 6 5 5 4 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 7 7 7 7 8 9 9 9 8 7 7 6 5 5 5 5 6 6 6 6 6 5 4 3 3 5 9 8 3 1 2 2 4 4 6 7 6 8 5 -3 7 16 11 14 12 8 5 4 4 3 3 3 3 3 2 4 8 10 10 10 9 4 -2 2 19 25 13 9 12 11 10 7 5 5 8 10 11 12 11 10 10 12 11 6 4 6 10 15 15 11 11 14 19 23 21 17 11 5 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 6 8 20 28 19 11 8 7 5 4 3 5 5 4 5 7 8 6 5 6 5 2 1 2 4 1 -5 -6 -1 0 1 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 3 3 4 4 3 3 3 3 3 3 6 10 12 10 6 2 -3 -1 -2 4 8 7 8 8 5 7 8 7 3 -3 -8 -11 -12 -11 -7 -3 1 3 2 3 4 5 9 13 15 15 8 3 5 6 6 6 7 8 9 12 13 11 11 12 15 19 25 27 22 10 5 3 1 1 2 3 3 4 5 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 3 3 4 4 3 3 3 3 4 4 5 5 6 5 5 6 5 5 4 4 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 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 3 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 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 5 5 5 5 6 6 6 6 6 8 8 8 9 9 9 8 8 7 7 6 6 5 4 5 6 6 6 6 6 5 4 4 3 4 7 9 5 4 5 7 5 3 5 9 15 14 7 -7 -3 9 10 14 11 9 4 -0 2 4 4 2 1 1 0 2 5 5 5 4 3 3 4 9 14 16 12 10 12 14 13 7 2 4 6 9 12 15 14 11 10 10 8 7 8 9 10 14 13 11 9 10 14 17 17 13 7 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 3 3 3 3 4 5 5 5 5 6 7 10 22 31 24 17 15 8 5 4 3 5 7 6 6 7 8 7 7 8 6 2 0 1 2 -3 -12 -8 0 -0 -2 -1 1 3 3 3 4 4 3 3 3 3 3 3 2 3 3 3 3 4 4 5 5 4 3 3 3 4 3 4 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 2 1 1 2 6 12 12 12 10 9 7 5 6 6 7 6 7 6 5 9 12 11 7 2 -1 -2 -1 -3 -4 -4 -2 1 2 2 3 4 4 6 8 10 8 3 5 6 6 6 7 7 7 8 10 10 10 8 7 15 27 27 17 6 3 4 4 4 4 4 3 3 4 5 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 4 4 3 4 3 3 3 4 4 4 5 5 5 5 6 5 5 5 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 4 5 5 5 5 5 6 7 7 7 8 9 9 9 9 8 8 8 7 7 7 6 5 4 5 5 6 6 6 6 5 4 3 3 3 6 6 6 8 9 5 -1 -1 3 10 21 22 10 -8 -10 1 8 8 7 6 4 1 0 1 1 1 1 1 2 4 4 4 4 3 1 1 7 12 12 11 9 8 9 10 11 9 5 5 6 8 11 15 16 13 8 4 4 8 10 9 9 9 9 9 8 8 10 13 14 9 4 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 5 5 5 5 4 4 3 3 4 3 3 4 4 4 5 5 5 6 7 10 26 34 24 23 20 9 5 5 4 8 11 10 8 6 5 6 8 9 7 3 1 0 1 -1 -14 -19 -3 3 -3 -8 -3 2 3 3 3 4 4 4 4 3 3 3 3 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 1 1 1 2 2 2 2 2 2 1 2 1 2 2 2 2 2 3 6 14 18 14 10 8 8 7 5 6 6 6 6 6 4 5 8 11 11 8 4 4 4 3 2 -0 -2 -2 -0 2 3 3 4 4 4 4 5 5 3 4 5 6 6 7 7 7 7 7 10 11 7 4 9 17 19 17 16 12 6 4 3 4 5 4 4 4 5 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 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 4 5 4 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 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 3 3 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 6 7 7 8 9 10 10 9 8 8 8 7 7 7 7 7 5 5 4 4 5 6 6 6 5 4 3 -1 -6 -1 2 6 9 10 5 -2 -0 2 4 10 13 10 2 -2 3 5 3 3 4 6 6 4 3 2 1 2 5 7 7 3 3 3 2 0 1 8 12 10 9 8 7 6 5 6 10 10 7 6 8 10 11 13 13 7 3 5 9 11 11 8 6 6 8 8 9 11 12 9 5 4 4 3 3 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 4 3 3 4 3 3 4 4 5 5 5 6 5 6 11 31 33 18 20 19 8 5 7 6 7 11 10 8 7 6 6 8 7 6 6 4 2 1 2 -7 -21 -15 3 5 -7 -8 -0 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 1 1 1 2 3 3 2 3 2 2 4 4 2 1 3 5 9 15 21 21 16 9 6 5 3 1 2 4 5 6 8 6 3 5 8 10 9 6 3 1 1 2 1 1 1 2 3 4 4 4 3 3 3 4 3 3 3 4 5 6 6 5 6 6 6 8 9 6 5 6 9 11 12 13 14 10 5 2 3 4 4 4 4 4 4 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 5 5 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 5 4 5 5 5 5 5 4 5 5 5 6 6 7 7 8 9 10 10 9 8 8 7 7 7 7 8 7 6 5 4 4 5 5 6 6 5 5 3 -6 -20 -19 -4 6 7 8 9 6 3 2 0 3 7 14 13 6 5 3 2 4 6 9 9 6 7 6 4 6 9 11 8 4 4 3 2 1 4 10 10 5 4 4 5 6 4 2 5 9 6 1 3 7 8 9 11 9 8 10 13 14 11 8 6 6 7 9 12 13 9 6 4 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 3 3 3 3 3 3 4 4 4 5 5 5 6 5 6 11 26 32 16 12 12 6 5 6 6 5 6 7 7 7 9 9 8 6 5 5 6 6 4 3 0 -11 -22 -10 9 5 -4 -0 3 3 3 3 3 3 3 4 5 5 4 3 2 2 2 2 2 2 3 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 2 3 3 3 2 2 2 1 2 2 1 1 1 2 3 3 3 6 11 17 16 11 7 7 10 14 17 18 15 11 7 7 7 5 3 3 3 4 5 8 8 6 6 8 9 8 6 1 -1 1 3 4 4 4 4 6 7 6 5 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 7 8 7 6 6 6 7 9 10 9 7 5 3 2 2 4 5 4 3 4 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 6 6 6 5 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 5 5 4 4 4 4 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 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 4 4 4 4 4 4 3 4 4 4 3 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 4 4 4 5 5 4 4 5 4 4 4 4 4 5 5 6 5 6 8 9 10 10 9 9 8 7 7 7 7 7 8 7 6 5 4 5 5 5 6 6 5 5 4 -4 -18 -21 -7 3 3 6 9 5 -2 -3 1 5 8 13 11 6 5 4 3 4 5 8 8 9 12 11 10 11 10 9 6 5 5 5 5 4 7 13 8 -1 -1 -1 1 5 6 1 -2 1 4 3 0 5 10 10 9 9 10 13 15 13 10 6 6 6 7 9 11 9 5 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 8 22 33 20 8 7 5 4 5 6 5 5 5 7 7 9 9 9 6 5 6 7 7 6 5 5 -1 -14 -20 -8 4 3 2 3 4 3 3 4 3 3 4 5 6 6 5 4 2 2 2 1 1 2 3 4 4 3 3 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 1 1 2 2 2 1 1 1 2 2 3 11 25 37 37 26 15 10 13 14 10 7 6 5 5 6 8 9 7 7 7 5 3 5 9 6 5 9 10 7 5 3 5 6 6 5 4 5 6 8 9 9 7 6 4 3 3 4 4 4 4 4 4 4 3 3 4 5 7 8 8 7 6 6 7 8 10 10 7 4 3 1 1 4 5 3 3 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 7 6 5 4 4 4 4 3 3 3 3 4 3 3 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 3 4 4 3 3 3 3 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 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 9 10 10 9 8 7 7 7 7 7 7 7 8 7 5 5 4 5 5 5 6 6 5 5 2 -5 -6 1 4 2 2 1 -5 -10 -7 2 6 3 3 2 2 7 7 4 4 5 4 6 9 13 14 15 13 8 6 3 3 5 7 7 5 8 14 10 2 0 -1 -3 2 7 5 0 -0 6 9 6 5 8 11 10 9 11 11 9 9 8 6 6 5 6 9 9 6 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 4 4 5 5 6 6 6 5 6 15 31 25 10 7 5 5 6 7 6 6 6 7 9 9 9 8 7 5 6 9 8 6 6 6 5 -0 -12 -19 -11 0 4 4 4 4 4 4 3 3 3 4 5 6 6 5 4 3 2 1 1 1 2 3 3 3 2 1 1 2 3 4 5 5 4 3 3 4 3 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 6 16 31 42 42 31 17 9 9 10 5 2 3 4 5 6 7 7 7 8 9 7 4 0 2 4 3 7 9 6 5 6 8 8 6 4 4 5 7 9 10 9 6 6 5 4 3 3 4 4 4 5 4 4 3 3 3 4 5 7 8 8 8 6 6 7 10 10 10 8 5 3 3 4 4 2 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 nan nan nan nan nan 5 6 8 7 6 5 5 5 5 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 3 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 6 5 5 6 7 9 9 9 9 8 7 7 7 7 7 7 7 8 7 6 5 4 5 5 5 5 5 6 5 5 3 -0 2 7 8 5 -0 -6 -7 -3 2 1 -1 -0 1 4 10 9 5 5 5 4 4 6 8 9 11 9 6 4 3 3 5 7 5 1 6 14 13 9 8 5 1 1 6 11 9 6 7 9 8 8 11 11 8 8 11 9 7 7 7 6 5 5 8 11 9 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 6 5 5 9 27 30 14 8 7 6 6 7 7 7 6 6 8 10 10 9 7 5 5 8 10 8 7 6 6 5 0 -11 -16 -5 4 4 4 4 4 4 3 4 4 4 5 6 6 6 6 4 3 2 1 0 1 3 4 4 2 -0 -1 -2 -0 2 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 2 1 1 1 0 1 3 10 19 22 24 26 20 12 7 4 3 4 4 4 4 4 4 6 7 5 7 8 8 6 2 -2 -2 2 6 6 5 5 6 7 7 5 3 3 4 7 10 12 11 5 4 5 4 3 4 4 4 5 5 5 4 3 2 1 1 3 5 7 9 8 6 6 7 8 9 10 10 8 6 4 4 4 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 6 7 8 6 5 6 6 6 5 5 4 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 5 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 4 4 3 3 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 5 7 9 9 9 9 8 8 7 7 7 7 7 7 8 8 6 5 5 4 5 5 6 6 6 5 6 5 0 -1 5 11 10 5 1 1 3 2 -0 2 6 8 9 12 10 6 5 6 5 4 5 5 6 5 4 4 4 4 6 9 9 1 -2 3 10 11 10 11 11 9 5 5 6 6 6 7 7 6 9 15 15 11 10 11 9 7 4 4 5 5 7 11 12 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 16 29 24 14 10 9 7 8 9 8 8 6 6 8 10 9 7 6 5 6 8 8 8 7 7 5 4 -2 -10 -6 3 5 5 5 5 4 4 4 4 4 5 7 8 7 6 6 6 4 2 -0 -0 1 4 6 5 2 -3 -7 -9 -4 1 2 3 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 1 2 2 1 3 6 13 20 16 7 8 9 7 6 5 3 3 4 4 4 3 4 4 6 6 6 6 6 8 7 2 -2 1 5 6 5 5 6 6 6 5 4 3 4 6 9 14 16 9 5 5 4 4 4 4 5 5 5 5 4 3 1 1 0 1 2 4 6 7 6 7 7 7 7 8 9 8 6 5 5 5 3 2 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 nan nan nan nan nan 4 5 5 6 6 6 5 5 6 7 7 6 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 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 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 6 8 8 10 10 9 9 8 7 7 8 7 7 7 7 8 7 5 5 4 4 5 6 6 6 6 6 6 4 3 4 7 7 5 5 4 4 5 8 12 14 12 12 12 10 6 4 6 8 6 5 5 5 4 4 4 5 8 13 16 10 0 -2 2 7 8 8 8 8 9 7 6 3 2 4 5 2 2 3 10 16 18 16 12 8 4 -0 -1 3 5 8 11 9 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 5 6 6 5 7 17 24 22 18 16 13 12 12 11 11 9 7 6 7 7 6 5 5 6 7 9 9 7 6 6 4 -0 -6 -4 2 5 5 5 5 5 4 4 4 5 5 7 9 8 6 7 9 9 5 2 -1 -1 2 6 9 8 3 -7 -16 -14 -5 -0 1 2 3 4 5 5 5 4 4 3 3 4 4 4 4 4 4 3 2 2 2 2 2 3 6 7 6 6 8 12 18 19 9 4 5 5 5 5 5 4 3 3 3 4 4 4 4 7 6 4 4 6 9 6 3 4 5 5 5 6 6 6 6 5 4 4 4 6 8 13 17 13 10 10 7 6 5 5 5 6 6 6 5 3 2 1 0 -0 0 2 3 5 6 7 8 8 8 7 7 7 5 5 5 6 4 2 3 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 5 5 6 6 5 5 5 7 7 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 3 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 5 6 8 9 10 10 9 9 9 8 8 8 7 7 7 7 7 7 6 5 5 4 4 5 6 6 6 7 7 7 6 4 4 4 3 3 1 2 7 12 15 13 10 10 14 13 8 4 5 8 7 5 4 5 5 5 4 5 11 18 14 6 3 -0 1 5 6 7 7 7 7 6 8 7 5 5 1 -5 -5 -5 4 14 16 13 9 5 2 2 4 5 6 8 9 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 5 6 6 5 5 5 6 12 16 18 19 19 18 17 16 15 16 14 11 9 7 6 5 6 6 7 9 10 9 8 7 5 1 -3 -1 4 5 5 5 5 5 5 4 4 4 5 8 9 8 6 7 12 16 11 5 0 -1 0 4 10 14 13 3 -12 -17 -10 -3 0 2 3 4 5 5 6 5 5 4 3 3 3 4 5 5 5 4 3 2 1 1 3 7 12 16 14 8 5 7 14 20 13 5 6 5 4 5 6 5 4 4 5 4 2 1 3 7 8 5 4 5 7 8 6 6 6 5 5 6 7 6 6 5 5 5 5 6 7 9 13 12 10 13 13 11 9 6 5 6 7 7 6 4 3 2 1 0 0 1 3 4 5 6 7 9 10 8 7 7 5 4 5 6 6 6 5 4 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 nan nan nan nan nan
nan nan nan nan nan nan 5 5 5 6 6 5 5 4 5 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 4 4 4 4 4 4 4 4 3 4 4 3 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 10 8 9 10 10 9 8 8 7 7 6 7 7 7 7 7 6 6 6 5 5 6 6 7 8 7 4 1 3 4 2 -3 -4 2 7 9 9 8 5 7 13 16 15 10 6 6 6 5 4 4 5 6 4 6 12 14 7 3 3 3 1 5 5 5 7 9 10 9 10 7 3 6 9 6 1 -4 5 14 8 6 7 6 5 9 12 9 7 9 8 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 9 11 13 15 17 17 15 18 20 20 18 13 9 7 8 8 8 9 12 14 14 12 9 3 -0 2 5 5 5 5 5 5 5 5 4 4 5 7 9 8 4 7 16 23 20 10 2 -1 1 3 7 13 19 17 5 -8 -10 -4 -0 2 4 5 5 6 7 7 6 5 3 3 3 4 5 6 6 4 4 3 3 3 5 11 15 15 11 4 2 4 12 17 11 5 6 5 3 3 5 5 5 6 4 1 -1 -1 2 6 7 6 6 6 6 6 6 6 6 6 6 6 7 5 5 6 6 6 6 6 6 7 9 10 9 11 14 14 13 9 6 5 6 7 7 6 4 3 2 2 2 2 3 3 4 4 5 7 9 8 7 7 6 5 5 7 8 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 nan nan nan nan nan
nan nan nan nan nan nan 5 5 6 6 6 5 4 4 4 5 5 5 5 6 6 7 6 7 7 7 7 6 5 4 4 3 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 4 4 4 3 4 3 3 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 3 3 3 4 3 4 4 3 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 3 4 4 5 4 4 4 4 4 4 4 3 3 3 4 5 5 6 7 9 9 8 7 9 10 10 10 9 8 8 7 6 6 7 7 8 8 8 11 11 8 5 5 6 7 8 7 0 -4 -4 -2 -1 -4 -3 4 9 7 4 6 6 6 9 15 21 19 9 4 4 4 4 4 5 5 5 8 11 9 5 3 3 6 5 6 7 6 6 8 10 9 9 6 5 8 20 28 17 7 9 9 5 9 10 8 8 10 10 8 9 11 7 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 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 5 7 9 10 10 11 14 17 20 20 16 12 11 11 12 10 10 12 14 14 12 7 2 3 5 5 5 5 5 5 5 5 4 4 4 6 9 7 3 7 21 33 30 16 5 0 1 3 5 9 16 21 17 5 -5 -7 -2 4 7 8 8 8 9 11 11 9 5 3 3 4 4 5 6 6 4 6 8 6 4 9 12 7 2 -1 -0 4 8 10 7 5 6 5 4 3 4 4 4 4 1 -4 -1 2 3 4 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 6 7 6 6 6 6 7 9 10 12 13 15 15 13 7 4 5 7 8 8 6 4 4 3 3 3 3 2 2 4 6 7 6 7 7 7 6 6 6 7 7 6 6 5 4 3 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 nan nan nan nan 5 5 6 5 6 6 6 5 4 3 4 4 4 4 4 5 5 6 7 7 8 8 8 7 6 5 4 4 4 4 4 4 4 3 4 4 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 3 4 3 3 4 4 4 5 5 6 7 8 8 7 7 9 10 11 11 10 9 8 7 7 6 7 7 7 7 7 12 16 14 8 5 5 6 7 7 -1 -6 -10 -9 -2 -1 0 5 9 5 5 5 6 7 7 10 18 18 9 4 3 3 4 4 5 5 6 8 9 6 4 4 4 6 8 7 7 6 4 5 6 8 8 7 5 5 16 27 20 12 8 4 9 14 12 9 9 9 8 9 11 9 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 8 11 15 15 14 11 9 9 8 6 5 6 8 10 8 4 4 5 4 5 5 5 5 5 5 4 4 4 6 9 6 2 9 28 43 38 19 5 0 0 1 3 5 10 16 18 11 1 -7 -4 5 10 11 10 11 13 21 23 17 10 5 3 3 4 6 9 9 4 4 10 8 1 3 6 4 2 -0 -0 4 5 5 4 5 7 7 4 3 4 7 5 1 -2 -3 0 4 4 4 6 8 10 9 8 8 7 6 6 6 6 7 7 6 6 6 7 7 7 6 6 6 7 8 9 11 14 16 17 15 10 4 4 6 9 8 6 5 5 5 4 4 4 3 3 4 5 6 6 6 7 7 7 6 6 6 5 7 8 7 4 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 5 5 6 6 6 5 5 4 3 3 2 2 3 3 4 4 5 6 7 8 8 8 8 7 6 5 4 4 4 4 4 3 4 3 4 4 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 3 3 3 3 4 3 3 4 4 5 5 5 6 7 7 7 7 8 10 11 11 10 10 9 8 7 7 7 7 7 6 3 4 10 15 13 8 5 6 7 7 3 -3 -8 -6 1 2 1 3 4 1 3 4 5 7 5 6 11 10 5 4 3 4 5 4 4 5 6 8 8 6 5 4 3 3 4 5 5 4 4 5 7 9 9 8 6 5 7 12 12 10 9 8 11 10 9 7 6 6 7 10 10 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 6 7 7 5 5 5 5 4 2 3 5 6 5 4 4 4 4 5 5 5 5 5 4 4 3 5 10 10 3 9 29 44 38 19 4 -1 -2 -4 -5 -2 3 11 16 11 0 -4 -2 7 11 12 13 13 19 33 41 33 17 8 5 5 9 12 15 14 4 -4 0 5 2 0 2 4 4 4 3 4 5 6 4 4 6 5 3 -0 0 7 7 2 1 1 3 4 4 5 7 10 12 11 10 9 8 7 6 7 7 8 7 7 6 7 8 8 8 7 6 6 6 7 9 9 12 15 17 17 13 7 4 6 8 7 6 7 7 6 6 6 5 4 3 4 5 6 6 6 6 7 7 6 5 4 5 9 13 10 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 5 5 6 6 6 5 5 3 2 2 2 2 2 2 2 3 4 5 5 7 8 8 8 8 6 5 5 4 4 4 4 3 3 4 4 3 3 2 3 2 2 3 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 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 6 7 7 6 8 9 10 10 10 9 9 9 8 7 7 7 6 5 1 -3 0 9 13 11 8 6 7 8 6 2 -1 -2 3 5 4 3 1 -2 -3 3 7 8 5 4 5 3 2 5 5 4 5 4 4 5 6 7 7 6 5 4 2 1 2 4 3 3 7 11 12 12 10 7 6 6 5 6 8 9 9 7 6 5 5 4 3 4 8 11 9 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 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 5 6 6 6 5 4 4 4 4 5 5 4 4 4 4 5 4 4 4 5 4 4 4 5 10 14 6 8 27 38 33 19 5 -1 -6 -13 -19 -16 -7 3 11 11 -0 -3 5 11 13 13 13 14 22 36 45 40 26 15 12 14 17 20 21 18 7 -4 -5 2 4 2 2 3 4 5 5 4 5 6 6 5 4 2 2 0 -3 3 6 4 4 4 4 4 5 6 8 11 12 11 10 8 7 6 5 6 7 7 7 8 7 7 8 8 8 8 8 7 7 7 7 9 11 12 15 17 16 11 6 5 7 7 9 10 8 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 4 5 8 13 15 11 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 5 5 5 5 5 5 4 3 3 2 2 2 2 2 2 2 2 3 4 5 7 8 8 8 7 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 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 3 3 4 4 4 4 4 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 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 7 9 9 9 9 9 9 9 8 7 7 7 6 5 3 -0 -1 3 9 11 9 7 7 8 8 6 3 0 2 8 10 7 5 3 -3 4 7 7 7 6 5 2 -0 3 5 6 6 4 4 4 6 7 6 5 5 5 4 4 5 6 4 4 11 17 16 12 6 4 3 2 3 6 6 7 5 3 3 3 3 3 3 5 8 10 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 6 8 8 8 7 6 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 6 10 9 10 23 29 26 20 10 -2 -10 -18 -26 -26 -15 -4 3 6 3 2 9 13 15 14 12 14 19 25 30 29 24 21 19 19 19 20 19 18 13 6 3 3 4 3 3 3 4 4 4 5 5 5 5 5 4 3 7 7 -2 -1 4 4 4 4 5 5 5 6 8 10 11 9 8 7 6 5 5 4 5 6 7 9 9 7 6 7 8 9 9 8 8 6 6 7 9 12 13 16 16 13 9 6 6 8 10 10 8 8 7 7 6 5 4 3 3 4 4 3 3 3 4 5 6 5 4 6 8 9 11 10 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 4 5 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 3 5 6 7 9 9 8 8 6 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 3 2 2 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 5 6 6 5 6 6 8 9 8 8 9 9 9 8 7 7 7 7 6 5 4 2 3 6 9 9 7 5 6 8 8 6 3 2 9 16 11 7 9 4 -1 1 4 8 9 7 4 1 1 4 8 7 4 3 4 5 6 5 5 5 6 6 7 8 8 6 6 9 13 15 11 5 3 1 -0 2 5 5 4 1 3 3 3 3 3 5 6 8 9 6 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 5 5 5 5 4 5 4 4 4 5 4 5 5 5 5 5 4 4 3 4 5 7 9 10 10 8 7 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 10 19 25 19 15 10 -1 -7 -10 -15 -20 -16 -6 -1 2 4 6 10 14 16 13 10 12 14 13 13 12 12 15 15 12 11 12 12 14 14 11 8 5 4 5 5 5 6 5 5 5 5 4 4 3 2 5 9 7 4 3 5 4 4 5 5 5 6 7 8 9 9 8 7 7 6 6 5 5 5 5 6 8 9 6 4 5 7 8 8 8 8 7 6 6 6 10 14 15 16 15 11 7 6 7 8 8 8 7 7 7 6 4 3 1 1 1 2 2 2 3 4 5 6 6 5 5 5 5 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 nan nan nan nan nan
nan nan nan nan 3 3 3 3 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 2 2 2 1 1 1 2 3 5 7 8 9 9 8 7 6 5 4 4 4 3 3 4 4 4 4 3 3 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 3 4 4 4 5 5 5 6 6 6 6 6 6 7 8 8 8 8 9 9 8 7 7 8 9 8 6 5 5 5 5 7 7 6 3 3 5 8 6 1 -1 11 24 17 4 5 4 -6 -5 -0 5 8 9 6 3 1 4 6 6 3 3 4 5 6 6 4 3 4 6 7 9 10 8 7 5 8 11 9 5 3 1 1 3 4 4 2 2 5 5 3 4 4 5 6 9 10 6 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 5 5 5 5 5 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 4 5 8 9 10 10 8 7 6 6 6 6 6 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 7 15 24 18 9 6 2 0 1 2 -6 -13 -7 -2 0 4 8 11 15 17 14 10 12 13 8 6 6 5 6 7 6 6 6 7 9 10 10 7 5 6 7 6 5 6 9 9 5 3 3 4 6 2 2 6 6 7 6 5 5 4 5 5 5 6 7 8 9 9 8 8 8 8 7 6 5 5 5 5 7 8 6 4 4 5 7 8 8 8 8 8 7 4 7 13 15 16 16 13 9 7 7 7 6 6 7 6 6 6 4 2 0 -1 -0 1 1 2 3 4 5 6 6 5 5 5 6 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 2 2 2 1 1 1 1 2 3 5 6 7 9 9 9 7 7 6 5 5 4 4 3 3 4 4 3 3 2 2 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 5 4 4 4 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 3 4 4 4 4 5 5 5 5 6 6 6 5 5 5 4 4 4 5 6 6 6 7 7 7 6 6 7 7 7 7 7 8 9 10 9 8 8 9 10 9 7 5 5 5 6 6 6 5 4 4 4 5 4 -2 -5 10 26 19 1 4 4 -6 -5 -2 1 5 8 8 6 3 4 3 1 3 4 5 6 6 7 7 6 3 3 6 9 10 8 5 4 6 7 6 5 2 1 2 5 6 5 1 4 9 8 7 5 4 5 6 9 8 5 4 4 4 3 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 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 4 4 4 5 5 5 5 5 5 5 5 4 3 3 4 5 7 8 8 8 7 6 5 5 5 6 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 10 22 23 12 6 4 4 5 8 3 -5 -7 -6 -2 3 8 11 12 16 14 8 11 14 9 5 5 5 4 4 5 5 4 4 5 7 8 8 5 5 7 7 5 4 9 10 5 2 2 5 8 5 2 4 5 5 6 5 5 4 5 5 5 6 6 7 8 8 8 9 9 8 7 6 6 5 5 5 6 7 6 5 4 4 6 7 8 8 8 10 11 6 5 12 16 17 16 15 13 10 8 6 4 4 5 5 5 5 3 1 0 -0 -0 1 2 3 3 3 5 6 6 5 5 5 6 6 5 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 4 5 5 4 4 3 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 2 1 1 1 2 2 2 4 5 6 7 8 9 8 7 6 6 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 7 8 9 8 8 8 8 7 7 7 7 7 6 7 8 10 10 10 9 9 10 10 10 7 5 5 6 6 6 6 5 6 8 7 6 5 -0 -6 3 16 11 0 7 7 -1 -3 -1 -0 2 5 9 10 6 3 2 1 4 4 5 6 8 10 10 8 5 3 5 8 9 7 4 2 3 4 6 7 3 1 3 7 9 5 3 8 11 9 7 5 5 7 8 10 8 5 4 4 4 3 4 3 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 5 5 6 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 13 21 20 13 7 6 6 7 6 3 -1 -5 -6 -1 7 10 9 10 9 5 9 15 12 6 5 5 4 4 6 6 4 3 4 5 7 7 6 3 4 5 4 4 5 6 5 4 4 4 5 4 3 3 3 4 5 5 5 5 4 5 5 6 6 7 8 8 8 9 9 7 5 5 6 5 5 6 6 5 6 6 5 3 3 6 6 7 8 9 12 10 6 11 17 17 16 15 14 13 11 7 4 3 3 4 4 3 3 2 1 1 1 2 3 4 3 2 3 5 5 4 4 4 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 4 5 6 6 6 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 2 2 2 1 1 1 2 3 3 4 6 8 8 8 7 6 5 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 6 6 6 7 6 6 9 12 14 15 14 12 10 9 9 8 7 7 6 6 6 7 8 9 10 11 10 10 10 10 10 8 6 5 6 6 6 6 5 7 11 10 7 8 6 -4 -4 4 3 0 5 7 4 1 1 3 2 3 7 11 8 3 2 3 5 5 5 7 8 10 10 8 7 5 6 8 8 4 0 -0 2 6 9 9 6 3 4 9 9 5 7 9 8 6 6 5 6 7 8 9 7 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 5 4 5 5 5 5 5 5 4 5 6 11 19 20 13 9 9 8 7 5 3 1 -3 -3 6 9 7 6 4 3 7 12 10 6 5 5 4 4 6 6 4 4 4 4 5 7 6 2 1 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 5 6 6 7 7 8 9 10 8 6 5 5 5 4 5 5 5 5 5 6 6 5 0 3 6 6 6 7 9 9 8 11 16 17 15 14 14 13 12 9 5 3 2 2 2 2 2 3 3 2 1 2 3 4 6 6 3 3 4 3 2 3 4 5 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 5 5 7 7 6 5 4 4 4 4 4 4 3 3 4 5 5 4 4 4 4 4 4 3 4 3 3 2 1 1 1 1 2 2 3 5 7 7 7 6 5 5 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 8 14 27 35 33 28 21 16 12 10 10 9 7 6 5 5 5 6 8 9 10 10 11 10 11 11 10 9 7 6 6 6 7 7 6 6 11 9 4 6 7 -0 -3 3 6 4 6 9 5 3 5 7 5 2 3 8 8 4 3 7 7 6 6 7 8 8 7 7 6 6 6 7 5 2 0 1 4 6 7 6 5 4 4 7 8 7 9 7 5 4 4 5 5 7 7 6 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 5 6 6 5 5 5 6 6 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 7 7 6 6 5 5 4 5 5 5 5 5 4 4 5 6 9 15 15 13 14 13 10 7 5 4 2 2 7 7 4 5 4 2 4 7 7 5 5 5 5 5 6 5 5 5 5 4 4 5 5 3 1 3 4 4 3 2 2 2 2 2 2 3 3 2 3 4 5 5 4 4 3 4 4 5 6 6 7 9 11 9 7 6 5 6 5 4 4 4 4 4 4 4 6 9 5 1 4 5 5 5 7 7 8 10 13 16 16 14 14 14 12 10 6 4 3 3 2 2 2 2 2 2 1 1 2 7 13 17 15 8 3 1 1 1 2 6 8 7 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 6 7 6 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 1 1 1 2 4 5 6 6 6 5 4 4 3 2 2 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 4 5 4 4 5 4 4 5 5 5 5 5 4 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 6 6 6 7 7 6 13 34 58 62 52 40 28 19 14 12 11 10 7 5 4 5 5 6 7 8 9 10 11 11 11 11 9 8 7 6 6 7 8 8 6 6 8 6 -1 -1 1 0 2 7 11 11 14 15 6 0 4 10 9 4 2 4 6 6 7 12 11 7 7 8 7 6 5 4 3 4 5 4 3 4 6 7 7 4 1 0 1 1 2 4 5 7 8 5 1 2 2 3 4 5 3 3 5 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 6 5 5 6 6 5 5 5 5 6 6 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 6 6 7 7 6 5 4 5 5 5 4 4 4 4 4 5 5 6 8 9 11 14 15 14 11 9 8 6 6 9 7 5 5 5 5 5 5 5 5 6 6 7 6 6 4 4 7 8 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 5 6 6 4 3 3 4 4 4 5 6 7 10 11 10 7 7 7 7 5 4 4 4 4 4 4 3 4 6 7 4 4 5 4 4 5 6 7 8 9 13 15 15 15 15 13 11 8 6 5 4 3 2 2 2 1 1 1 -0 2 8 15 22 24 17 6 0 1 3 4 6 7 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 5 5 5 6 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 3 2 2 2 1 1 1 2 3 3 5 5 6 5 5 4 3 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 4 5 5 5 5 5 6 6 6 6 7 7 7 9 22 46 59 53 43 37 28 18 13 12 10 8 5 4 4 5 6 6 6 7 8 9 11 11 10 9 8 7 7 6 6 7 9 7 4 4 4 7 2 -3 -2 2 3 5 8 10 15 14 6 -0 2 7 11 9 5 4 6 8 12 15 12 8 8 8 6 4 4 3 2 3 3 3 3 6 10 9 6 -1 -5 -4 -2 -1 2 2 1 4 7 4 -1 -2 -3 -2 1 1 0 4 8 8 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 6 6 6 6 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 6 6 8 11 13 13 11 11 8 8 13 14 9 6 7 6 6 5 7 8 6 8 9 6 7 5 2 5 8 5 4 4 3 2 3 3 3 3 2 2 2 2 2 3 2 2 2 2 3 4 6 6 5 3 3 3 4 4 4 5 7 10 12 12 9 8 8 7 5 4 3 4 5 4 4 3 4 4 4 4 5 4 4 4 4 5 6 7 8 9 12 14 15 16 15 15 12 9 7 5 4 3 2 2 2 2 0 -1 1 5 10 16 17 12 9 5 3 4 5 5 5 4 2 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 5 5 5 5 4 4 5 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 0 1 2 3 4 5 6 6 5 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 6 6 7 7 8 8 7 11 21 33 33 22 15 19 21 15 10 8 6 4 4 4 5 5 6 6 5 6 7 9 11 11 9 7 7 6 6 6 7 7 8 6 4 2 2 9 7 -1 2 8 5 3 3 4 6 5 4 2 1 2 6 11 11 8 7 11 15 14 10 8 7 7 6 5 3 2 2 4 4 3 5 7 7 4 2 -4 -8 -4 -4 -6 1 2 1 6 9 5 -1 -8 -9 -6 -2 1 3 10 14 10 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 4 5 5 4 4 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 5 5 4 4 4 4 5 5 5 6 6 6 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 6 6 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 6 5 6 8 9 8 8 7 7 11 16 15 9 9 8 5 4 6 9 8 7 9 8 7 7 3 3 5 4 3 3 3 3 2 3 3 2 2 2 3 2 2 3 3 3 3 2 3 4 5 7 6 4 3 3 3 4 4 5 7 10 12 12 10 9 8 7 6 4 3 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 6 7 7 8 10 13 15 17 19 18 14 9 5 5 4 3 3 4 3 0 -1 0 2 5 7 8 6 5 6 5 4 4 4 4 3 3 3 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 6 6 6 6 5 4 5 4 5 5 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 3 3 2 1 1 1 1 2 3 4 5 5 5 5 4 3 3 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5 4 5 5 5 5 5 5 5 5 6 6 6 7 8 9 8 8 9 13 22 22 8 0 6 11 10 5 3 2 2 3 4 5 5 5 4 4 6 8 10 11 11 9 8 7 6 5 6 7 6 6 6 7 3 -1 7 8 -1 2 11 10 9 7 2 1 3 4 4 2 -0 2 8 14 15 13 14 15 11 8 6 6 7 7 5 2 2 4 5 5 6 7 6 2 1 3 -3 -9 -2 -1 -3 3 5 5 12 12 5 -2 -10 -10 -5 2 8 8 13 17 8 3 4 4 4 4 4 4 5 5 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 5 6 6 6 5 6 6 5 5 5 5 5 5 6 6 7 7 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 5 5 6 8 12 11 10 9 6 5 5 6 6 5 5 5 5 6 4 3 4 4 3 3 3 2 2 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 5 6 6 4 2 2 3 4 4 5 6 9 11 11 9 8 7 6 6 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 8 9 11 14 17 22 22 16 10 6 6 6 5 5 4 2 1 1 1 2 3 3 4 3 3 3 3 3 3 3 4 4 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 6 6 5 5 6 6 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 3 2 2 1 1 2 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 5 5 4 4 5 5 4 4 4 5 5 5 5 4 5 5 5 5 5 6 6 7 9 9 9 9 9 10 14 13 9 11 10 6 4 3 1 2 2 3 4 4 4 4 4 5 6 9 11 12 12 10 8 7 6 5 5 6 4 3 4 8 5 1 11 12 -1 -3 3 10 14 11 4 2 4 4 5 3 -1 -4 1 12 19 19 16 11 7 4 5 6 6 5 4 1 2 5 7 6 6 7 5 -1 2 5 -3 -9 -1 5 7 11 13 12 14 13 5 -2 -8 -7 1 11 15 11 14 14 6 3 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 3 3 3 3 4 4 4 4 5 5 6 7 7 6 6 7 6 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 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 6 7 7 6 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 3 2 2 3 2 3 3 3 2 3 3 3 3 4 4 3 3 3 5 6 6 5 3 2 4 4 4 4 6 8 10 10 10 7 5 5 5 5 4 3 3 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 9 11 14 19 27 31 26 15 8 8 8 5 4 3 2 1 0 0 1 2 3 4 3 2 2 2 3 3 4 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
nan nan 4 5 5 4 4 5 4 4 5 5 6 6 5 6 6 5 5 5 5 4 5 5 5 6 6 6 5 4 4 4 4 5 5 6 5 5 4 3 2 2 2 2 2 3 3 4 4 4 5 5 6 6 5 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 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 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 10 11 11 10 7 5 2 10 21 17 5 1 1 1 1 2 3 3 3 3 3 4 5 7 9 12 14 12 10 8 7 6 5 5 4 2 -2 3 11 6 1 11 15 1 -4 -2 4 12 12 5 2 1 1 2 2 -3 -8 -3 10 18 17 13 8 4 3 3 4 4 3 1 0 2 6 9 4 1 8 6 -2 3 5 -2 -6 -1 5 8 14 16 14 14 14 8 -0 -6 -4 9 19 18 11 12 14 7 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 4 4 5 6 6 7 6 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 7 9 8 5 3 3 3 4 4 4 5 6 8 9 8 6 4 4 4 4 3 3 4 4 5 4 5 5 5 5 5 6 6 6 5 5 5 5 4 5 5 6 6 8 9 10 15 27 44 48 30 10 6 6 4 4 4 2 1 1 2 2 3 4 4 2 2 1 1 2 3 4 4 4 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 4 3 3 3 4 4 4 5 6 6 6 6 6 6 5 5 5 5 6 6 7 8 7 5 5 4 4 4 5 5 6 6 6 5 4 4 3 3 2 2 2 2 3 3 4 4 4 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 10 12 14 13 6 -1 -1 3 9 16 12 3 -1 -1 -0 1 2 3 3 3 2 3 4 5 7 10 14 15 13 11 6 3 4 5 4 4 1 -7 -4 13 13 1 4 9 1 -4 -2 -1 6 9 5 1 -0 0 2 2 -2 -3 7 17 14 6 6 6 4 3 2 2 2 1 0 0 4 10 9 -0 -4 10 10 -0 4 4 -1 -3 -5 -4 2 9 11 11 16 19 11 -0 -5 2 17 23 15 9 12 15 9 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 4 4 3 3 3 4 3 3 3 4 4 5 5 6 6 6 5 4 4 5 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 7 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 8 12 15 12 6 3 3 3 3 4 4 5 6 7 7 5 5 5 5 5 4 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 7 8 9 12 22 41 52 38 16 9 9 11 10 6 3 2 2 2 3 3 3 3 2 1 1 1 2 3 3 4 4 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 4 3 2 2 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 7 7 8 8 7 5 5 4 4 5 5 6 7 6 6 5 5 4 3 3 3 2 3 2 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 7 7 9 12 16 17 13 2 -7 4 15 11 7 4 1 -2 -2 -1 1 2 3 3 3 2 3 3 4 7 10 15 16 15 11 4 -1 0 2 2 4 5 -3 -10 -2 9 8 4 3 1 -2 -0 -1 1 6 6 1 -2 2 7 7 8 18 28 23 5 -4 0 5 4 3 3 2 -0 -1 0 2 8 12 8 -2 -1 13 14 4 3 3 2 1 -6 -7 2 6 6 11 21 22 11 1 -1 9 21 20 12 9 12 15 10 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 3 3 3 4 4 4 5 6 5 5 4 4 5 4 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 5 5 5 7 12 18 21 21 13 5 4 4 3 4 4 5 4 5 6 6 5 5 5 5 4 4 3 3 3 4 5 5 5 4 5 5 5 4 4 4 5 5 6 6 5 4 5 5 6 7 8 8 9 14 25 32 27 18 18 25 28 21 8 2 1 1 1 2 2 2 3 2 1 2 2 2 3 3 3 4 3 4 8 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 2 1 2 2 2 2 3 3 4 5 6 6 6 6 7 7 7 8 8 8 8 8 7 6 4 4 4 4 5 6 6 6 6 6 5 5 4 4 3 3 2 2 2 2 2 3 3 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 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 5 4 4 4 4 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 7 8 10 13 16 20 20 14 1 -1 18 26 14 3 1 -0 -2 -2 -0 1 2 3 3 3 3 3 3 5 6 10 16 15 14 10 3 -1 -2 -1 -2 -1 4 5 -2 -7 -3 2 3 2 1 1 2 1 -1 2 7 3 -4 -3 5 10 26 43 37 14 -6 -8 1 6 5 4 3 2 0 0 1 5 9 10 5 2 7 15 15 7 2 3 8 10 5 6 9 7 8 18 26 20 9 3 7 17 21 14 9 9 12 15 10 4 5 5 4 4 4 4 5 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 5 4 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 5 4 4 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 6 6 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 5 6 8 15 27 29 29 23 11 5 4 4 4 5 5 4 4 5 5 5 4 4 4 5 5 5 6 5 4 4 5 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 7 8 9 9 9 11 13 11 10 15 29 37 27 9 0 -0 -0 0 1 2 2 1 1 1 1 2 2 3 3 4 4 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 3 3 2 2 2 2 2 2 2 3 3 3 4 5 5 5 6 7 8 9 9 8 9 8 8 7 6 4 4 4 5 5 5 5 6 6 6 6 6 5 4 3 3 3 2 2 2 2 2 3 4 4 4 4 3 2 3 3 3 4 3 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 5 4 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 5 5 5 6 6 7 8 9 12 15 16 18 20 23 19 8 9 22 27 13 0 -1 -1 -1 -1 0 1 2 3 4 4 4 4 5 7 8 11 15 14 10 7 3 1 1 2 1 -2 -1 4 9 9 3 -2 -0 2 3 2 3 4 2 3 6 6 -3 -11 -6 10 34 42 24 0 -9 -3 7 11 9 5 4 3 2 2 3 6 8 7 6 7 11 13 10 6 4 8 12 15 15 17 18 14 17 25 24 14 7 8 15 19 15 9 8 9 12 16 11 5 5 5 5 4 5 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 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 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 3 4 6 8 13 28 38 33 29 18 8 5 5 6 5 5 5 5 5 4 5 4 4 3 2 4 6 6 7 7 7 4 4 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 6 7 8 10 10 10 9 7 5 5 6 13 20 17 6 -0 -0 1 1 1 1 0 -0 -0 -0 1 2 2 3 3 3 2 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 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 3 3 4 4 5 6 6 7 8 8 8 7 8 8 8 7 6 5 5 5 5 4 5 5 5 5 6 6 6 5 5 4 3 3 2 2 2 2 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 5 5 5 5 4 5 5 5 5 4 5 5 6 5 5 6 5 6 8 9 11 13 17 19 18 15 16 21 25 26 27 25 19 17 8 -0 -1 -0 0 1 1 2 3 3 5 5 5 6 7 8 10 12 13 12 8 5 3 4 5 7 8 4 4 6 5 6 6 5 3 4 4 4 5 5 5 5 7 10 6 -9 -10 11 28 20 7 -0 -0 3 12 21 16 8 5 4 4 3 4 6 8 7 6 7 9 7 6 5 7 8 6 8 9 15 20 22 26 25 16 9 10 14 17 14 10 8 8 10 13 16 11 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 5 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 6 6 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 2 1 2 2 4 7 10 20 38 39 30 21 11 5 5 5 6 6 6 6 6 5 4 4 4 5 5 2 2 5 6 7 8 8 6 4 5 6 5 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 6 7 8 10 12 12 10 8 6 3 3 4 4 3 0 1 2 1 0 -0 -0 -0 -1 0 2 3 3 2 2 2 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 4 5 5 4 3 3 3 3 3 3 4 4 4 3 3 4 4 5 6 7 7 7 6 7 7 8 8 7 6 6 6 6 5 4 4 4 4 5 6 6 6 6 5 4 4 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 6 5 5 5 6 9 12 14 17 20 23 23 16 12 15 20 25 31 38 32 16 7 4 1 0 1 1 2 2 3 4 5 5 6 6 6 7 9 10 11 11 10 8 4 3 8 7 7 10 8 10 13 7 1 2 4 5 5 4 5 7 7 7 8 10 14 14 2 1 18 19 3 5 9 7 6 19 31 21 10 6 5 5 5 6 8 8 5 4 6 6 4 3 5 5 1 0 1 2 7 14 21 23 17 9 9 13 15 12 9 7 7 9 11 13 15 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 5 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 1 1 1 4 8 13 22 31 28 17 9 4 4 5 5 6 6 7 7 6 6 5 4 4 5 6 4 2 3 5 6 6 6 7 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 6 7 7 9 11 13 13 12 10 8 5 2 1 1 2 2 2 1 0 1 1 1 2 2 3 3 3 3 1 1 2 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 8 8 8 8 8 7 6 5 4 4 4 4 5 6 6 6 6 6 5 4 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 5 5 5 4 4 5 5 5 5 5 5 7 12 17 17 19 21 20 17 12 12 17 18 22 29 29 20 9 5 5 3 2 2 2 3 3 4 5 6 7 7 6 5 6 7 7 7 8 9 6 -1 0 6 5 4 7 6 5 9 10 5 3 3 3 5 5 5 7 8 9 10 12 17 19 10 8 14 6 3 16 18 8 11 30 33 18 9 6 4 4 6 9 10 7 4 4 6 8 5 3 3 -1 -6 -3 -2 1 4 10 16 16 10 8 8 9 8 6 5 6 7 9 11 14 15 10 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 3 4 4 4 5 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 5 6 7 7 5 4 5 5 4 4 4 3 3 2 2 3 3 3 2 1 1 1 2 6 12 18 18 10 6 4 2 2 3 4 4 6 6 7 7 7 6 6 5 4 4 4 5 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 5 6 7 8 9 11 14 13 13 11 9 8 9 9 9 7 5 4 3 3 2 3 4 3 4 4 4 4 3 2 3 4 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 5 4 3 3 4 4 4 5 5 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 8 9 9 9 9 8 7 6 5 5 5 4 4 4 5 6 6 7 7 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 5 5 6 6 9 14 15 14 14 13 12 12 11 15 18 14 15 17 13 8 6 6 6 4 3 3 3 3 4 5 6 7 8 7 6 4 3 3 5 6 7 7 4 -2 -2 3 4 3 2 1 1 2 4 5 6 5 4 5 5 3 3 6 9 10 13 20 18 9 5 5 1 20 32 20 7 19 34 26 13 7 4 3 4 7 9 6 4 5 5 5 8 8 5 3 -3 -6 -3 -1 4 7 11 15 12 6 4 2 1 -0 1 4 7 8 10 12 14 13 8 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 4 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 5 5 6 7 7 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 2 3 3 4 4 6 7 6 6 5 5 5 5 4 3 2 2 2 2 3 3 3 2 1 1 1 5 11 15 16 11 -2 -11 -6 2 4 3 3 4 5 6 7 7 7 6 6 5 5 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 5 4 4 3 3 4 4 5 5 5 4 3 3 4 5 6 7 8 10 11 12 12 11 11 13 15 17 20 19 13 8 9 7 5 5 5 5 4 4 5 5 4 3 3 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 8 9 9 9 9 8 7 7 7 6 5 4 4 4 5 6 6 7 7 5 5 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 8 12 15 13 11 9 8 9 10 11 15 14 9 8 7 5 5 6 7 6 5 5 4 3 3 4 5 7 8 9 8 5 1 1 2 5 7 7 7 5 2 1 4 5 4 1 2 3 2 2 4 5 6 5 5 5 2 0 2 4 5 10 18 16 7 4 7 13 30 32 13 8 20 25 17 10 6 2 4 8 8 4 -1 1 5 3 4 9 9 7 6 2 1 5 6 9 12 15 16 9 3 -2 -3 -2 -2 3 8 9 10 11 10 9 9 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 5 5 4 5 5 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 8 8 9 9 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 2 3 3 3 3 3 3 3 4 5 6 7 7 6 6 6 5 4 3 2 2 2 3 3 3 2 3 2 1 1 6 13 14 11 7 -4 -14 -8 4 5 3 3 4 4 5 6 6 7 7 7 6 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 5 4 5 5 4 3 4 4 4 5 5 5 4 4 3 3 4 5 6 7 8 9 10 11 11 12 13 14 15 17 20 19 15 13 15 13 11 8 7 6 5 5 4 4 2 3 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 7 7 6 5 5 5 5 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 8 8 9 9 9 9 8 9 8 6 5 5 4 4 5 5 6 6 6 6 5 4 3 3 3 3 4 4 4 4 3 3 3 2 3 3 3 3 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 8 12 16 16 13 9 8 8 9 10 12 13 11 7 4 4 3 4 4 5 5 5 4 3 2 3 4 5 7 8 10 8 3 0 1 5 8 7 5 4 3 3 4 8 10 9 5 4 6 6 5 5 4 7 9 6 5 1 2 2 1 1 9 21 20 9 6 12 17 21 16 8 10 14 11 9 7 3 2 9 12 8 2 3 7 7 4 7 9 7 7 8 3 2 7 11 11 14 19 13 4 1 0 2 4 6 10 12 11 11 11 8 8 11 10 6 5 6 6 5 5 5 5 5 5 5 6 5 5 5 6 6 5 5 5 5 5 5 4 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 4 4 4 3 3 3 3 4 4 4 4 5 6 6 6 5 4 4 4 4 5 5 4 4 5 5 5 5 6 6 6 6 6 6 7 9 9 8 7 6 6 5 5 5 4 5 5 5 4 4 5 5 5 5 5 6 5 5 5 4 3 3 3 3 4 4 4 4 4 5 6 7 8 8 8 7 5 3 3 2 2 2 3 4 4 3 3 3 2 1 4 10 12 10 4 -6 -12 -3 5 5 3 2 3 4 5 6 6 6 7 7 7 7 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 3 4 4 5 5 4 4 4 3 3 3 4 5 6 7 8 7 8 10 12 11 10 9 9 9 11 13 13 14 16 18 16 13 10 8 6 3 2 1 2 4 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 6 7 7 7 6 5 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 6 7 8 9 9 9 9 10 10 9 8 6 5 4 4 5 5 5 5 5 5 5 3 2 2 3 3 4 4 4 4 4 3 2 2 2 3 3 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 7 11 14 14 12 10 8 8 8 8 10 12 17 16 10 4 4 3 3 4 4 4 4 3 2 2 3 4 5 6 9 10 7 1 -0 3 7 8 5 3 2 2 2 4 8 12 14 8 2 4 8 8 7 8 8 8 6 4 3 4 4 4 5 16 30 22 4 1 7 10 12 11 11 12 9 5 4 3 2 8 16 14 8 8 14 14 8 9 10 7 5 6 3 -3 -3 4 9 10 16 18 9 1 3 7 11 15 17 17 14 12 11 9 8 8 11 10 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 5 5 5 5 5 5 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 2 3 3 2 2 3 4 5 6 7 8 10 14 13 9 5 4 5 5 6 6 5 6 6 7 7 6 6 7 7 6 6 6 5 6 6 7 6 6 6 6 5 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 3 3 3 4 4 4 4 4 5 5 7 10 13 14 11 8 5 4 3 2 1 2 3 4 5 5 4 4 3 2 2 6 13 12 -0 -11 -9 2 7 5 3 2 3 3 4 5 6 6 6 7 7 7 6 6 5 4 4 4 3 3 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 5 5 5 5 4 3 3 3 3 4 5 6 7 7 6 6 7 9 9 8 8 8 7 7 8 9 9 13 17 15 12 10 8 5 2 2 3 4 5 7 9 8 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 8 8 9 8 6 5 4 4 5 5 5 6 6 6 7 7 6 6 6 6 5 4 4 3 3 3 4 4 5 6 8 8 7 7 8 9 10 11 10 9 8 6 5 4 5 5 5 5 5 5 4 2 2 3 3 4 4 4 5 4 3 3 2 2 2 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 7 9 10 9 8 7 7 7 7 8 9 14 25 26 14 3 3 3 3 3 4 4 3 3 2 2 3 4 4 6 8 9 6 -0 0 5 8 8 5 3 2 3 4 3 4 8 13 11 4 3 5 6 7 8 7 2 1 4 8 6 6 8 10 23 33 13 -9 -6 2 4 8 13 17 16 11 6 3 0 3 14 16 10 11 21 23 13 8 9 6 2 2 3 -2 -4 -1 5 8 12 18 15 5 1 8 17 22 23 20 16 12 10 9 8 8 8 9 8 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 2 2 1 1 1 2 3 3 4 5 8 9 10 13 19 22 16 9 6 6 6 7 7 7 7 7 8 8 7 7 6 5 6 5 4 4 3 4 4 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 6 12 21 26 22 14 8 5 4 3 2 1 1 3 5 6 7 6 5 4 3 2 4 12 11 -5 -11 -1 6 7 6 4 2 2 3 3 4 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 5 5 6 5 5 4 3 3 3 3 4 6 6 7 6 6 6 6 6 7 7 9 8 7 7 7 6 6 8 9 9 8 7 7 6 5 5 5 6 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 4 7 7 7 8 8 7 7 6 5 5 5 5 5 6 7 7 7 7 6 6 5 5 5 4 3 2 3 3 4 4 5 7 7 7 6 6 7 9 10 11 11 11 9 7 6 6 6 6 5 5 5 4 3 2 2 3 4 4 4 4 4 4 3 2 1 1 2 3 2 2 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 6 6 5 7 8 7 7 7 7 7 7 8 10 18 31 29 12 4 3 4 4 4 4 3 2 2 3 3 3 3 4 5 7 7 3 -0 1 6 10 9 7 6 2 4 8 6 2 3 7 9 6 3 3 2 2 3 4 2 1 6 9 7 8 10 11 21 22 -0 -14 -5 4 4 6 10 14 16 16 10 4 1 6 14 12 8 14 27 30 21 15 10 5 1 1 -2 -7 -5 2 5 8 16 19 11 4 6 16 25 26 21 15 11 8 8 7 7 7 6 7 8 7 5 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 4 3 2 1 1 0 -0 0 1 1 3 3 4 6 8 10 10 12 17 22 20 14 9 8 7 8 8 8 8 8 7 7 6 6 5 5 5 5 4 4 3 3 4 4 4 4 4 4 5 5 6 6 6 7 7 8 9 9 8 6 6 5 5 4 3 3 3 3 4 4 4 3 2 3 7 18 34 40 28 13 6 4 3 3 1 0 1 3 5 7 8 7 5 5 4 3 4 10 7 -6 -5 3 7 9 7 4 2 2 2 3 3 4 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 6 5 4 4 3 3 3 4 4 5 5 6 7 7 6 6 6 6 7 8 8 7 7 6 6 6 6 6 6 6 6 6 7 6 6 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 2 5 6 6 6 7 7 7 8 7 6 5 5 5 6 7 8 7 7 6 6 6 6 5 4 3 2 3 3 3 4 5 6 7 7 6 5 6 7 9 10 11 11 11 10 9 8 8 7 7 6 5 3 3 3 2 3 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 7 8 7 7 6 6 8 10 13 24 32 22 8 4 4 4 4 4 4 3 2 2 3 3 3 3 3 5 6 4 4 3 4 6 9 9 8 6 -0 0 4 6 5 4 4 5 4 2 3 3 -1 -2 2 5 3 3 4 5 7 7 6 13 11 -2 -8 -1 7 7 4 4 5 9 12 9 5 5 7 11 11 12 15 18 19 21 24 22 17 14 6 -7 -13 -6 1 5 11 17 14 8 8 12 18 21 18 14 9 7 7 6 7 7 6 7 10 12 8 5 6 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 5 5 5 5 4 4 3 3 2 1 1 1 0 -0 0 1 2 3 4 4 6 9 11 10 10 11 15 15 13 10 9 8 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 7 7 8 8 8 7 6 6 5 4 4 3 3 3 3 4 4 5 4 2 2 8 18 32 37 25 11 5 2 2 2 1 0 1 3 6 8 9 9 7 5 5 4 4 6 2 -3 1 5 8 10 9 6 3 2 2 2 3 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 5 5 5 5 6 6 5 4 4 4 4 4 4 5 5 5 5 6 6 7 7 6 6 6 7 8 8 7 6 6 6 6 6 5 5 6 6 7 7 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 2 4 5 5 5 5 6 7 8 8 8 6 5 4 5 7 9 8 7 6 6 6 6 6 6 5 3 3 3 3 4 5 6 7 6 6 6 6 6 7 8 9 10 11 12 11 10 9 9 8 8 6 5 4 3 4 4 5 4 4 4 4 5 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 8 10 8 7 7 7 9 10 16 27 26 13 6 5 5 5 4 4 4 3 2 3 3 3 3 4 5 5 6 8 9 8 6 5 6 8 8 5 1 -1 3 7 8 4 2 2 3 3 4 5 3 2 6 6 1 -2 -0 2 3 3 1 4 6 2 -2 2 8 7 4 2 2 4 5 5 6 9 9 11 16 18 15 13 13 15 19 20 21 27 21 1 -10 -2 6 7 13 16 10 10 12 12 13 12 11 9 8 6 5 5 7 7 6 7 10 7 2 3 5 5 6 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 3 2 2 2 1 1 1 1 1 2 3 4 4 4 5 6 8 9 9 8 8 8 9 9 8 8 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 5 4 4 3 3 4 4 4 5 5 4 3 3 7 14 18 21 18 12 7 4 2 1 0 0 2 4 6 9 11 10 8 7 5 5 4 4 2 3 4 6 9 11 10 7 4 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 6 7 7 7 5 5 6 7 8 8 8 8 8 7 6 6 6 6 6 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 3 3 4 4 5 5 5 4 5 6 7 8 8 7 6 5 4 7 9 9 8 6 5 7 7 8 8 7 5 4 3 3 4 4 5 6 6 6 6 6 6 6 7 7 9 10 11 12 12 12 11 10 10 9 7 5 4 4 5 5 5 4 4 5 5 5 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 5 5 5 6 6 6 6 7 10 11 9 8 8 10 10 11 24 29 18 7 5 6 5 5 5 4 4 3 2 3 2 1 3 5 5 5 9 13 11 8 6 4 4 6 7 7 5 0 2 9 12 7 1 1 3 4 5 6 6 6 8 8 5 1 0 1 2 3 -1 -1 2 4 3 6 9 7 3 2 3 4 5 5 6 9 11 14 18 18 12 10 13 17 17 12 15 33 44 28 8 6 8 10 15 14 11 12 10 9 11 10 9 8 7 6 6 6 7 6 5 6 5 1 0 3 5 6 6 6 5 5 5 5 5 4 4 5 6 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 3 2 2 2 2 2 2 2 3 4 5 6 7 6 5 5 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 8 8 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 4 4 4 5 5 5 5 3 3 7 11 10 11 15 14 10 5 1 -0 0 2 3 5 7 9 11 11 10 8 7 6 6 5 4 5 5 7 9 11 11 7 4 3 3 2 2 3 3 4 4 3 3 4 4 5 5 5 5 4 5 4 4 5 5 6 5 4 4 4 4 4 5 5 6 6 6 6 5 5 6 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 6 6 7 8 9 9 8 8 7 7 7 6 5 6 6 6 6 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 4 5 5 5 4 4 4 6 7 7 7 5 4 6 8 10 9 7 6 7 8 10 9 8 7 6 5 4 4 4 4 5 6 6 6 6 6 6 7 7 7 8 9 10 12 13 13 12 11 11 9 6 5 4 5 4 4 3 3 4 5 5 5 4 3 2 2 2 2 2 2 2 2 3 3 3 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 11 11 9 9 10 12 13 18 35 28 10 5 5 5 5 4 4 4 4 3 2 2 2 2 3 5 4 6 11 11 7 6 6 5 5 5 7 9 7 1 -1 6 13 11 3 0 2 3 5 6 4 1 6 11 11 7 3 2 3 3 -0 -3 1 6 10 12 9 5 2 3 4 5 5 4 3 6 9 12 13 10 5 1 4 13 21 17 19 38 53 42 22 12 9 12 15 13 10 10 9 10 11 9 8 6 5 6 6 7 7 5 3 5 4 2 3 4 7 8 6 6 5 5 5 4 4 4 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 6 6 7 6 6 5 4 4 3 3 2 2 2 2 2 3 3 4 5 6 7 9 9 7 6 5 6 6 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 6 7 6 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 5 5 9 9 6 7 13 15 10 2 -2 -0 2 4 5 6 7 9 12 13 12 10 9 8 7 6 6 5 5 6 9 12 12 8 5 4 3 3 2 3 3 3 3 3 3 4 4 4 4 5 5 4 5 5 5 5 5 6 6 5 5 5 5 4 5 4 5 6 6 6 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 6 5 5 5 5 4 5 5 5 5 7 9 9 8 8 8 8 7 6 6 6 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 4 4 4 4 3 3 4 5 6 6 5 5 5 7 9 9 8 7 7 9 10 9 8 7 7 6 5 5 4 4 4 5 5 6 6 6 7 7 7 7 7 8 9 11 13 14 14 13 12 11 9 6 5 5 4 3 3 3 3 4 5 5 5 4 3 3 3 2 2 1 1 2 2 3 4 4 4 4 3 4 4 4 5 5 5 4 4 3 3 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 7 7 8 10 10 9 10 12 14 18 30 34 18 6 4 5 4 3 4 4 4 3 2 2 2 3 5 6 5 4 8 10 7 8 8 6 6 6 7 9 11 9 1 -4 2 9 11 5 0 1 2 4 7 5 1 4 10 12 10 7 6 6 5 2 -1 3 12 21 17 8 4 4 5 5 4 4 2 2 3 5 7 7 2 -3 -5 -4 4 17 21 23 32 36 28 17 12 14 15 13 9 7 6 8 11 11 8 7 6 5 5 7 7 6 2 2 5 4 4 5 6 8 8 6 5 5 5 5 4 4 4 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 3 3 2 2 3 3 3 3 3 4 5 6 8 10 11 10 7 6 5 5 6 7 7 7 7 6 6 6 5 5 6 6 6 7 7 7 7 8 7 7 7 8 8 8 7 7 8 7 7 7 7 6 6 6 5 6 6 6 6 5 5 5 5 5 4 4 4 3 4 3 3 4 4 5 5 6 8 12 15 17 13 8 5 7 11 12 7 -1 -6 -2 4 4 5 6 8 10 13 14 13 11 10 9 8 7 6 6 6 6 11 14 12 8 7 6 5 3 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 5 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 2 3 3 4 4 4 3 3 3 3 4 5 5 5 5 6 7 8 9 8 8 8 9 8 7 6 6 6 5 5 4 3 4 4 4 5 6 6 7 7 7 7 7 7 8 10 12 14 14 13 12 13 11 9 7 6 5 4 3 3 3 4 4 5 4 4 5 4 3 2 1 1 1 1 2 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 11 11 10 10 11 14 22 31 18 5 4 4 4 3 3 3 3 4 4 3 1 3 6 7 7 5 5 6 6 8 14 12 7 7 5 5 8 11 8 0 -3 -0 6 9 7 2 1 4 6 9 9 5 3 5 8 11 11 10 9 8 6 4 8 23 30 18 7 5 6 7 5 4 3 2 2 2 3 6 6 1 -5 -6 -3 2 12 19 19 20 20 15 9 8 12 13 9 5 2 4 8 12 10 7 8 8 7 6 7 7 2 -0 4 6 4 5 7 7 8 8 6 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 5 6 5 4 4 3 3 3 3 3 2 3 3 3 4 4 4 5 7 9 10 11 9 7 5 6 5 6 7 7 7 7 6 6 6 5 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 7 15 24 29 26 16 8 6 7 8 8 5 -1 -6 -2 2 4 5 6 8 11 14 16 15 13 11 10 8 8 7 8 10 13 16 16 11 8 8 7 5 3 2 3 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 5 6 6 5 4 4 5 6 7 6 4 4 4 4 4 4 4 5 5 6 5 5 5 6 6 5 4 4 3 4 4 5 6 6 6 6 6 6 5 6 6 6 6 6 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 4 4 4 4 4 3 3 3 3 4 6 6 6 6 5 6 7 8 8 8 9 9 8 7 6 6 6 5 4 4 3 3 3 4 5 5 6 6 7 7 7 7 7 8 9 10 12 13 12 11 12 13 13 11 9 8 6 5 5 4 4 4 5 5 4 4 4 3 2 2 1 1 2 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 7 7 7 7 8 10 12 12 9 9 9 12 20 20 5 1 4 3 4 3 3 3 4 4 4 3 2 3 6 7 7 5 5 6 6 11 20 18 11 8 4 1 3 8 7 -0 -3 1 5 8 8 5 3 5 10 10 9 7 4 4 6 8 11 13 13 10 8 9 17 24 19 10 6 6 7 5 4 3 3 4 3 2 3 7 10 8 4 2 2 5 9 12 11 13 13 9 5 5 8 8 3 -1 1 5 9 12 9 7 9 9 7 7 8 6 1 1 6 7 5 6 8 9 10 9 6 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 6 7 9 9 8 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 3 4 10 20 26 26 20 11 7 6 6 7 7 5 -2 -9 -4 2 3 4 6 9 12 14 16 17 16 14 13 11 9 9 12 19 26 25 18 11 8 7 6 5 3 3 4 5 5 4 3 3 2 2 3 3 3 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 6 5 4 4 6 7 7 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 7 8 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 8 8 7 6 6 5 4 3 3 3 3 4 6 7 7 6 5 5 5 6 6 7 8 9 9 9 9 8 7 6 5 4 3 3 3 4 5 6 6 6 7 7 6 7 7 7 8 9 10 12 12 11 10 11 13 13 12 11 9 7 5 5 5 5 6 5 5 4 4 3 3 2 2 3 3 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 10 13 16 15 10 6 5 5 10 15 12 5 3 4 3 3 3 3 4 4 4 5 3 3 3 5 6 7 7 7 7 7 11 18 21 17 10 5 0 1 6 7 1 -4 -2 2 6 6 7 6 5 12 15 11 11 9 7 6 6 10 16 17 13 11 15 17 11 4 4 4 4 4 4 3 2 4 4 4 4 5 10 14 13 12 13 7 3 4 6 7 6 6 4 3 8 9 3 -3 -2 4 8 10 9 6 7 9 7 6 7 8 5 2 4 7 6 5 6 8 11 14 11 5 4 5 6 6 6 6 5 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 4 5 5 5 6 5 6 6 6 6 6 5 5 5 4 4 3 3 3 2 3 2 3 3 4 4 5 5 5 5 6 6 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 5 6 6 5 6 6 6 6 6 5 6 5 5 5 5 6 6 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 4 5 11 15 16 13 9 6 4 6 8 8 7 4 0 -12 -13 -0 3 4 8 10 11 12 13 16 18 18 17 16 14 13 15 22 28 26 18 12 8 7 7 6 5 6 6 6 5 4 3 3 3 2 2 3 3 3 3 3 4 5 5 5 6 5 5 5 4 4 5 4 5 5 4 4 5 7 7 6 4 4 4 4 3 4 4 5 5 5 5 5 6 6 6 5 5 4 4 4 4 5 6 6 6 5 5 4 4 4 5 5 5 6 6 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 11 11 11 10 9 8 5 4 3 2 3 5 6 6 6 5 4 4 4 4 5 6 8 9 11 11 10 8 6 6 5 4 4 4 4 4 5 5 6 6 6 6 5 6 6 7 8 10 11 11 11 10 9 10 11 12 12 11 8 6 5 5 5 6 6 6 5 5 4 4 3 3 4 5 5 4 3 2 3 3 4 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 5 6 6 6 7 6 6 7 7 7 8 11 16 19 21 16 7 2 1 2 8 10 7 5 3 3 3 3 3 4 4 5 5 4 4 4 3 4 5 7 8 7 5 5 7 11 17 18 13 8 2 1 6 8 4 -1 -2 -0 3 5 5 6 6 9 16 19 20 16 11 8 11 21 28 24 18 16 15 11 4 3 3 2 3 3 2 2 2 4 5 5 8 12 16 18 14 10 12 12 6 1 1 6 5 4 3 4 7 5 -1 -2 4 9 9 8 6 4 7 7 6 5 6 7 4 3 6 6 5 5 6 10 15 16 9 4 3 4 6 7 7 6 5 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 5 4 5 5 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 2 2 2 3 4 5 5 5 5 5 5 5 5 6 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 6 11 14 12 7 6 6 5 7 8 8 6 3 -1 -8 -12 -3 2 6 9 11 10 10 11 13 15 17 18 18 18 17 15 15 16 16 15 13 11 9 9 10 10 8 7 5 4 3 2 2 2 3 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 4 4 5 7 7 6 5 4 4 3 3 3 4 5 5 5 5 5 6 7 6 6 5 5 5 4 4 5 6 6 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 11 12 13 14 14 13 11 8 5 3 2 3 4 5 4 4 3 3 3 3 3 3 5 7 9 10 10 9 7 7 6 6 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 9 10 11 11 10 9 7 8 9 11 11 10 7 6 5 5 6 6 6 6 5 5 4 4 4 4 4 5 5 4 2 2 3 4 4 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 7 7 6 6 6 6 6 7 8 11 16 19 20 20 17 8 3 3 9 13 7 2 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 3 4 6 7 6 4 4 6 11 14 15 13 6 2 2 5 7 5 3 2 1 2 4 5 5 5 11 17 19 17 12 12 30 50 46 30 20 16 10 5 3 3 2 3 5 4 3 2 4 6 4 7 13 18 21 20 14 3 -3 2 7 6 7 10 10 7 3 3 5 4 3 6 11 11 8 6 5 6 7 7 6 5 7 6 5 4 5 5 5 7 9 13 17 14 5 2 3 4 6 7 7 6 5 4 4 4 5 4 4 3 3 3 4 4 4 3 4 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 3 3 2 2 2 2 2 2 3 5 5 6 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 3 3 3 3 3 3 3 3 3 4 8 15 17 13 7 7 6 6 7 8 9 8 5 0 -9 -12 -3 3 7 11 12 11 9 9 11 11 12 14 16 16 13 10 7 7 8 10 13 13 10 7 10 13 12 7 3 2 2 2 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 7 7 5 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 6 8 9 10 10 9 6 6 5 5 5 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 9 10 11 14 15 16 16 14 11 8 5 4 3 4 4 4 3 3 2 2 3 3 3 4 6 7 9 9 8 7 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 6 7 9 10 11 12 10 7 5 6 8 9 10 8 7 6 5 5 6 6 6 6 6 5 4 4 4 3 4 5 4 3 2 3 3 4 4 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 7 6 5 5 5 5 6 9 11 14 16 17 13 10 12 13 13 18 23 19 7 2 2 3 3 3 3 4 4 5 5 5 4 4 4 3 2 1 1 3 6 8 6 4 5 7 8 12 15 11 5 2 4 6 7 5 4 2 2 2 4 3 4 4 4 3 6 8 21 53 66 49 27 15 9 4 2 2 2 3 4 5 4 3 3 4 5 2 5 12 14 14 16 13 3 -1 2 9 15 16 12 10 8 3 4 9 10 11 15 14 10 6 4 4 7 8 7 6 6 6 6 6 5 4 6 8 9 11 15 16 9 3 2 4 5 5 7 7 6 5 4 4 5 5 4 3 4 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 4 4 4 3 2 2 3 2 2 2 2 3 5 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 6 4 3 3 3 2 2 2 2 3 4 9 17 22 19 14 10 6 4 5 6 8 9 9 8 4 -7 -15 -6 3 8 11 12 10 8 8 11 10 7 9 10 10 7 4 4 6 7 9 11 12 8 4 7 10 10 6 3 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 6 7 5 4 3 2 2 3 4 5 5 5 5 5 5 6 7 7 7 6 5 4 4 5 5 6 7 9 10 12 14 11 9 7 7 6 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 8 8 10 12 14 16 17 16 14 11 8 6 5 5 5 4 4 4 3 3 3 3 3 3 5 6 8 8 7 7 7 7 5 4 4 4 4 4 5 4 5 5 5 5 5 5 6 7 9 11 12 11 9 6 4 5 7 8 9 8 6 5 5 5 5 6 7 6 6 5 4 3 3 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 6 7 8 11 14 15 14 15 15 10 5 8 16 22 28 26 13 5 3 3 3 3 4 4 4 5 5 5 4 4 4 4 2 -1 0 2 2 5 8 8 6 4 5 6 9 12 11 7 4 3 3 6 4 2 2 2 1 1 0 0 -1 -3 -4 -2 5 28 53 48 30 16 9 5 3 3 3 3 3 4 4 3 4 5 3 0 -1 -1 3 4 5 10 12 11 12 14 14 11 8 7 8 6 3 7 11 11 14 15 11 7 4 3 5 8 8 6 6 7 6 6 6 5 5 8 11 11 12 15 14 6 2 3 4 5 6 7 7 6 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 3 2 2 2 2 2 3 4 6 7 7 6 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 8 8 7 6 4 3 2 3 2 2 2 2 3 7 15 22 21 16 15 12 4 4 4 4 8 10 10 8 6 -1 -11 -9 2 7 10 10 8 7 7 11 13 9 7 9 7 4 1 1 5 8 10 11 8 6 5 7 7 7 5 4 3 2 2 2 1 2 2 2 2 3 2 3 3 3 3 3 3 3 3 4 4 5 5 6 6 5 5 5 4 5 6 6 6 5 4 2 2 3 3 4 5 5 5 5 6 6 7 6 7 7 6 5 4 4 4 5 6 7 8 10 12 13 12 10 10 10 9 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 8 9 10 13 15 16 16 15 12 10 9 8 7 6 6 5 5 5 4 4 3 3 5 6 7 7 7 7 7 6 5 4 3 4 4 4 4 4 5 5 5 5 6 6 6 8 9 11 11 9 7 5 4 5 6 7 8 7 6 6 5 5 6 7 6 6 5 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 5 5 8 13 17 19 20 20 19 15 10 10 15 15 11 12 17 22 20 13 4 3 2 2 2 3 4 5 5 5 4 4 3 2 5 5 2 0 4 5 4 5 8 10 9 6 4 5 6 6 3 3 4 3 2 3 1 -0 -0 0 -0 -2 -3 -3 -3 -4 -3 -1 5 26 35 22 12 9 7 5 4 4 4 4 4 4 4 4 4 3 2 0 -5 -11 -7 1 4 6 9 13 16 18 12 2 -1 5 9 4 2 7 9 11 13 12 7 4 3 5 7 8 7 6 6 7 7 7 7 5 7 10 11 10 11 14 11 4 2 4 5 5 6 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 4 4 3 3 2 2 3 2 2 3 4 6 8 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 6 5 4 2 2 2 2 2 2 3 5 11 17 18 15 14 15 11 6 5 4 4 9 11 9 7 6 1 -7 -7 1 6 7 7 7 6 6 8 11 12 11 10 8 7 3 1 3 7 9 10 8 6 8 9 8 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 5 5 5 5 6 6 6 5 3 2 3 3 4 5 5 5 5 6 6 6 6 7 8 7 6 5 4 4 4 4 4 5 4 6 9 9 10 9 10 11 11 10 10 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 7 6 6 6 6 6 7 9 11 14 15 16 14 13 13 12 10 8 7 6 6 5 4 4 3 4 5 6 7 7 7 7 6 6 5 4 4 3 3 3 3 4 4 5 5 5 5 6 7 8 9 10 10 8 6 5 5 6 6 7 8 7 6 5 5 6 7 6 6 5 4 3 3 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 6 13 21 28 33 39 39 33 21 10 2 3 11 16 17 20 18 14 8 3 1 3 2 2 2 4 4 5 5 4 4 4 3 1 4 6 5 6 8 9 8 8 10 14 13 9 4 2 2 0 -1 2 4 4 3 2 3 3 3 3 0 -3 -3 -2 -4 -5 -2 -1 6 25 29 13 6 6 6 5 4 4 4 4 5 5 5 4 3 3 5 5 2 -5 -5 2 5 4 6 10 14 17 14 6 6 11 8 2 6 10 9 12 13 11 5 2 4 7 8 7 5 6 6 7 8 7 6 7 10 11 11 9 10 12 10 5 3 4 5 6 7 7 7 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 3 3 3 3 3 2 2 2 3 4 7 9 10 9 7 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 5 6 5 4 3 2 2 3 3 3 3 5 11 18 20 17 14 13 11 9 8 6 5 7 11 13 9 6 4 -1 -7 -4 3 5 6 6 5 5 5 5 6 8 9 10 8 7 6 3 4 5 7 8 8 8 9 10 10 9 8 8 8 7 6 6 6 5 5 5 4 4 3 3 3 3 3 4 4 4 3 4 4 4 5 6 6 7 6 6 5 5 5 5 6 6 6 5 4 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 7 5 4 3 3 3 3 2 2 4 5 6 6 6 7 9 9 11 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 7 7 6 6 6 6 6 5 5 5 6 8 11 12 12 12 13 13 12 11 9 8 7 7 6 5 4 4 5 5 6 7 7 7 7 7 6 5 5 4 3 2 3 3 4 4 4 5 5 6 7 7 8 9 9 8 8 7 6 6 6 6 8 8 7 6 6 6 6 5 5 5 4 3 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 3 4 4 5 4 4 7 17 28 33 33 33 36 40 36 21 6 -2 1 7 9 11 15 10 4 2 2 2 3 2 3 3 4 4 4 4 4 5 6 3 2 5 7 7 8 8 9 10 9 10 16 18 12 5 1 1 1 1 4 4 3 4 4 5 6 6 6 3 -0 -0 -0 -1 -1 -1 -1 7 24 26 13 7 7 6 5 4 4 5 5 6 6 6 4 3 5 8 8 6 0 -5 -3 0 -0 2 5 9 14 19 19 16 11 4 3 11 13 12 14 14 9 4 4 7 8 7 5 5 6 6 6 7 7 7 10 11 10 9 9 9 10 9 6 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 7 6 6 5 4 3 3 3 3 3 3 2 2 3 4 6 9 10 10 8 7 6 6 7 7 6 6 6 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 3 3 3 4 4 4 4 9 18 22 20 18 15 12 8 6 8 10 8 7 9 12 10 5 2 -4 -6 -0 4 5 5 5 4 4 4 4 4 4 5 6 6 5 5 4 5 5 6 6 8 8 9 10 11 10 10 10 10 9 8 8 8 7 7 7 6 5 4 4 3 3 3 3 4 4 4 4 4 4 4 6 6 7 7 7 6 5 5 5 6 6 6 6 5 4 4 4 4 4 4 5 5 6 6 6 6 6 7 8 8 6 5 4 3 3 3 2 2 2 3 2 3 3 4 4 5 7 11 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 12 12 10 10 9 8 10 11 12 10 11 12 12 10 10 9 10 11 12 13 13 13 12 12 14 20 21 19 16 12 7 3 3 5 6 10 12 14 14 15 16 14 12 10 11 12 13 13 12 12 12 12 13 12 11 10 11 12 12 12 10 10 10 10 10 9 9 10 11 14 12 9 9 11 13 15 14 14 14 14 14 12 10 10 12 15 17 15 13 13 13 13 12 12 12 11 12 13 13 13 13 13 12 12 11 9 10 12 11 10 8 7 7 9 11 11 13 15 16 18 18 18 17 14 13 12 12 11 10 10 11 12 12 13 12 12 11 11 11 12 13 13 12 11 9 9 12 16 20 21 19 16 15 17 15 14 14 14 14 14 13 14 14 14 14 15 16 16 15 14 13 14 15 15 16 17 17 17 16 15 13 14 16 16 16 16 15 15 14 13 13 13 14 14 14 13 11 12 12 13 13 15 17 19 22 23 23 25 24 22 20 18 16 15 14 14 14 14 14 15 14 14 13 13 13 13 13 14 15 16 16 17 16 16 15 15 14 14 14 15 17 20 19 17 15 13 13 14 16 15 13 13 14 15 14 13 13 13 13 13 13 13 14 15 15 14 12 13 14 14 14 14 13 13 13 11 11 11 12 11 10 10 9 10 11 11 11 12 12 11 12 13 13 13 13 13 13 13 13 12 12 12 12 11 10 10 10 9 9 10 11 12 12 13 12 11 11 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 13 15 15 14 13 12 12 12 13 11 10 9 8 7 7 7 8 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 14 17 20 18 15 12 11 12 13 14 12 9 8 7 9 12 14 14 14 13 13 13 14 15 16 19 21 21 19 17 13 14 15 15 15 15 14 14 13 13 12 9 6 7 13 20 27 28 22 18 16 15 14 13 13 13 13 13 12 11 12 12 12 12 12 11 9 10 11 11 11 12 11 11 10 9 8 9 10 12 13 13 13 14 14 17 19 16 12 11 12 13 13 13 12 10 10 10 11 10 10 10 11 12 14 14 16 16 16 15 14 14 14 12 10 11 12 12 nan
nan nan nan nan nan nan nan 10 10 10 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 16 22 22 16 8 3 0 1 6 9 10 12 12 12 13 15 15 14 12 11 11 13 13 13 13 12 11 13 13 11 11 10 11 11 10 10 11 11 10 11 12 11 11 13 15 13 8 7 11 15 17 17 15 13 13 14 15 14 13 11 12 14 15 13 12 13 12 12 12 12 12 12 12 12 13 12 12 12 11 10 9 10 12 12 12 11 9 8 9 10 11 13 14 15 16 16 16 15 14 13 12 12 11 12 12 12 13 13 12 11 11 10 11 11 11 12 12 13 12 11 11 12 14 16 17 16 15 14 14 15 16 16 15 13 13 12 12 12 12 13 14 15 17 16 15 14 14 14 15 16 17 16 15 14 14 15 15 16 17 17 16 14 13 14 13 13 13 14 15 15 15 13 11 13 14 15 16 17 19 20 22 23 22 21 18 16 15 13 13 13 15 14 14 13 13 14 14 13 13 14 14 13 13 14 15 16 17 18 18 16 15 14 13 14 14 17 20 22 21 18 15 14 14 14 15 14 13 14 14 15 15 17 17 15 14 13 13 14 14 14 13 12 12 12 14 14 14 13 12 12 12 11 12 12 12 11 11 10 11 11 11 12 12 12 11 11 12 12 13 12 13 13 14 15 13 12 13 12 11 11 11 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 7 8 8 8 9 9 10 9 10 10 10 11 11 11 11 11 11 12 12 14 14 15 15 13 12 12 13 12 11 10 8 6 7 7 8 9 10 10 10 10 11 11 11 11 11 11 12 12 11 12 12 12 13 16 19 17 14 12 14 14 14 13 10 7 6 7 9 11 13 13 13 13 13 13 13 14 14 15 15 18 22 23 21 18 17 16 15 14 14 15 14 13 13 12 11 12 16 22 28 28 21 17 15 15 15 14 13 12 12 12 13 12 12 11 12 13 13 13 11 10 10 11 12 12 11 11 10 10 9 10 10 11 10 10 11 13 16 20 19 16 11 8 9 11 12 12 11 11 12 12 11 10 11 13 12 13 13 14 14 15 16 16 15 15 14 14 14 12 11 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 11 12 12 12 12 13 12 12 13 15 21 24 13 1 -2 2 5 7 9 10 10 10 11 13 14 14 13 10 10 11 12 12 12 10 10 11 12 11 11 10 11 13 14 12 12 14 13 13 12 13 12 12 12 11 8 7 11 16 19 19 17 14 14 13 12 13 14 13 12 12 13 14 14 12 12 12 12 12 12 13 13 11 11 11 11 11 10 10 10 10 11 12 12 11 11 10 10 11 11 11 13 14 15 15 14 14 14 13 13 12 12 12 12 13 14 13 11 11 11 11 11 11 12 12 12 12 12 9 10 13 15 16 15 14 14 13 13 13 13 15 16 14 12 12 11 11 11 12 14 15 16 16 16 16 15 14 15 15 15 16 15 14 14 15 15 15 15 15 15 14 13 13 13 13 13 14 16 16 15 14 13 14 15 18 19 19 19 20 20 20 20 19 16 14 12 11 11 11 12 14 14 14 13 14 13 13 13 13 13 14 14 14 14 14 16 18 19 18 16 15 14 13 14 16 19 22 23 21 18 15 13 14 15 16 15 15 15 15 16 17 18 17 15 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 11 12 12 12 13 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 12 12 13 14 13 13 12 11 11 11 11 11 11 10 11 12 12 13 12 11 9 7 6 7 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 10 11 12 13 14 14 14 14 13 13 13 13 11 10 9 7 6 7 8 9 9 10 10 11 11 10 10 11 11 11 11 11 11 11 11 12 13 14 17 18 17 12 10 15 15 12 10 6 2 2 6 11 12 13 13 12 12 13 13 13 14 13 13 13 17 22 25 24 19 17 16 15 15 15 13 13 14 13 14 14 15 18 21 23 21 18 16 14 14 13 13 13 13 13 13 12 12 11 11 11 12 13 12 10 10 11 11 12 12 12 10 10 10 11 11 11 11 10 10 11 12 17 21 19 14 9 8 9 11 11 11 11 12 12 12 10 8 10 13 13 14 14 14 15 15 14 14 15 16 16 15 14 13 12 11 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 13 13 14 21 20 8 -1 0 8 11 10 8 9 10 10 11 12 13 14 11 9 11 12 12 11 10 10 9 12 13 12 11 12 14 16 15 13 13 13 13 13 12 11 11 11 10 9 10 13 17 19 19 17 15 13 12 10 11 13 13 13 13 13 13 13 14 13 12 11 11 11 12 13 13 11 11 11 10 9 9 9 10 12 13 12 11 11 12 11 11 11 11 12 14 14 14 14 13 13 13 13 14 13 12 12 13 14 15 13 11 12 11 11 11 11 12 13 12 13 12 11 13 15 16 16 15 14 13 13 14 13 14 15 15 14 12 11 12 13 13 12 14 16 16 17 18 17 15 14 13 14 15 16 16 14 14 14 14 14 13 13 13 12 12 13 13 13 14 15 16 16 18 19 17 19 21 22 22 21 21 21 20 18 16 15 14 13 12 11 11 12 12 13 13 14 14 13 13 12 12 13 13 14 16 15 16 15 16 16 18 18 16 15 14 14 16 19 21 22 22 20 17 14 13 15 17 16 15 15 14 13 12 12 11 10 12 13 15 15 14 14 13 14 14 14 13 13 13 12 12 13 13 13 13 13 13 13 12 12 13 12 13 13 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 12 11 10 11 12 12 13 14 13 10 9 7 7 6 7 7 6 6 7 7 8 8 9 10 10 10 9 10 11 11 11 11 11 11 12 13 14 14 13 13 13 13 13 12 10 9 8 7 7 8 8 9 9 10 11 11 11 10 11 11 11 12 12 11 12 12 12 12 13 13 15 16 17 15 12 12 10 6 4 4 5 7 10 12 12 13 13 11 12 13 13 14 13 13 12 13 18 22 27 25 18 15 13 14 14 14 14 13 14 14 14 14 15 15 17 19 18 17 16 14 14 14 13 12 12 12 12 12 11 11 10 10 11 11 11 10 10 11 12 12 12 10 9 9 10 11 12 11 11 11 11 10 12 16 19 17 12 9 10 11 11 11 11 12 11 10 10 10 10 11 12 12 13 14 15 14 14 15 15 14 14 14 14 13 13 12 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 4 6 11 14 11 9 11 13 13 12 12 11 10 10 11 12 12 11 10 9 10 11 12 12 11 12 13 15 16 14 12 11 12 12 12 11 10 11 11 11 12 13 16 17 17 16 15 15 12 11 9 11 12 13 13 15 16 14 12 12 12 11 10 9 11 12 14 14 12 11 10 10 9 10 10 11 13 14 13 12 12 11 11 11 11 13 14 14 14 14 13 13 12 13 14 14 14 14 14 14 15 14 13 13 12 11 11 11 12 13 13 14 13 13 13 14 16 16 15 13 13 13 14 14 14 14 13 13 12 12 11 12 13 13 13 15 16 18 19 19 16 14 12 12 13 15 16 16 15 14 14 14 13 13 12 12 12 13 13 15 15 15 15 16 18 22 24 22 21 22 24 25 24 21 18 16 15 14 14 13 13 13 13 13 14 14 13 13 13 13 13 13 13 13 14 15 16 16 16 17 16 16 16 17 17 17 16 15 16 18 21 21 21 19 16 15 15 17 18 18 16 14 12 11 11 10 10 9 10 11 13 15 15 14 14 14 14 14 14 14 13 13 13 13 13 13 14 14 14 12 13 14 13 13 14 15 15 14 14 13 12 12 13 13 13 14 14 13 11 10 10 10 11 12 12 12 11 12 12 12 12 12 11 9 8 7 8 7 8 8 8 8 7 7 7 8 9 10 11 10 10 10 10 11 11 12 13 13 13 13 14 15 14 13 13 13 12 13 11 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 12 12 13 13 12 12 12 12 14 15 17 17 15 13 10 8 6 7 10 12 13 13 12 12 12 12 11 12 13 13 14 13 13 13 14 17 22 26 23 18 15 14 14 14 13 13 14 14 14 14 14 14 16 19 20 20 17 14 15 15 14 13 12 10 11 12 12 12 12 11 10 10 10 9 8 10 12 12 11 10 9 9 10 9 10 11 12 12 12 12 12 12 14 19 17 13 12 11 11 9 9 11 11 10 9 9 10 12 11 12 12 12 13 13 14 15 15 15 14 13 13 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 14 13 10 9 12 15 15 11 9 8 8 10 12 12 13 12 12 13 14 15 13 11 11 11 11 11 11 10 11 11 12 14 13 14 14 15 15 15 15 13 12 10 9 10 13 16 18 17 13 11 11 10 11 11 10 11 12 14 14 13 12 11 10 9 10 12 13 14 14 13 13 12 12 11 11 12 13 14 14 14 13 12 12 12 13 15 15 15 15 15 16 16 15 13 12 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 13 14 14 13 13 13 12 11 11 12 13 13 12 13 14 15 16 18 19 17 14 12 11 12 13 15 16 16 15 14 14 14 13 13 13 13 14 15 15 16 16 15 15 15 19 22 22 19 16 17 18 25 27 20 16 15 15 14 14 13 14 14 15 16 15 15 14 13 13 13 13 14 14 15 16 18 20 18 18 18 17 16 17 17 17 17 17 17 17 18 18 17 16 15 14 15 18 20 19 17 15 13 12 11 11 11 11 12 12 11 11 12 12 13 13 13 14 13 13 14 14 14 13 13 13 13 13 14 14 13 13 14 14 15 16 17 17 15 13 13 12 12 12 13 13 14 14 13 11 11 11 12 13 13 12 11 12 12 13 13 10 9 7 7 7 8 9 9 8 9 9 9 8 8 8 8 9 10 11 10 10 10 11 11 12 13 14 14 14 13 13 14 13 12 11 12 12 11 11 10 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 13 14 14 13 12 12 11 15 18 19 16 11 9 9 9 8 10 13 14 12 11 11 11 12 12 12 12 12 14 14 15 14 13 14 17 23 26 23 19 15 14 13 13 13 13 14 14 14 14 14 16 17 20 22 19 15 14 14 15 15 14 12 12 12 12 12 12 12 13 13 13 11 8 8 9 11 12 11 8 7 8 10 9 9 10 11 12 12 13 14 13 14 16 17 16 14 11 10 9 10 12 11 9 7 8 10 11 10 11 12 13 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 4 6 10 12 14 14 13 13 13 14 13 11 11 11 11 10 11 11 11 12 12 12 12 12 12 14 15 16 16 15 12 11 8 5 7 13 18 20 16 11 11 10 10 10 11 11 12 14 15 15 14 13 11 10 10 10 11 13 15 15 14 13 12 12 12 12 13 14 14 14 13 12 11 11 12 13 15 16 15 15 16 17 16 14 13 11 10 11 12 13 14 13 12 12 12 12 13 13 12 12 13 13 13 14 13 13 13 12 12 11 12 12 12 13 12 13 14 14 17 18 18 15 12 11 12 13 14 14 14 15 15 15 15 16 15 15 16 16 16 16 16 15 15 15 15 16 18 19 17 15 11 8 9 21 28 23 18 16 15 14 13 13 14 15 16 16 16 16 15 14 14 14 15 15 14 14 16 20 24 22 19 19 18 16 16 16 17 18 18 18 18 17 16 14 13 13 14 14 17 18 16 15 13 11 11 10 10 10 9 10 10 10 10 10 11 11 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 16 17 15 14 13 13 13 12 12 12 13 13 15 15 15 16 16 16 14 14 14 14 14 13 12 10 8 7 7 7 8 9 9 9 9 9 9 10 9 9 9 10 10 10 10 11 10 10 11 11 12 13 14 14 13 12 13 12 12 12 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 14 14 12 11 10 11 14 17 15 10 7 7 10 10 10 11 13 13 12 11 11 11 12 12 12 12 13 14 15 15 14 13 15 20 25 27 24 19 15 13 13 13 13 14 14 13 14 14 14 15 18 20 21 18 14 13 13 14 14 14 13 13 13 13 13 12 12 12 13 14 14 12 10 11 12 12 10 8 7 9 9 9 9 10 11 12 13 12 12 12 13 15 16 15 13 11 10 10 11 11 10 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 0 0 0 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 33 42 47 51 54 58 59 57 50 40 30 22 16 13 11 8 3 2 1 2 2 1 1 0 0 3 24 35 14 0 0 0 0 0 0 0 0 0 1 3 2 21 57 49 21 2 5 2 13 9 2 9 29 47 57 58 57 55 48 40 11 9 9 18 27 31 33 29 12 2 0 0 11 31 32 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 23 32 37 43 52 62 73 88 109 124 114 94 95 102 92 69 80 80 78 91 95 108 128 137 126 100 96 106 114 115 109 106 102 88 71 64 56 39 21 7 2 1 0 2 7 14 14 19 43 68 86 101 110 121 138 150 152 150 155 158 159 151 156 162 161 143 108 86 107 131 139 154 163 152 134 131 142 140 136 132 104 nan nan nan nan nan nan nan nan nan nan nan nan 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 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 2 3 3 4 4 4 4 4 5 5 5 5 5 4 4 3 3 2 1 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 3 2 1 0 0 0 0 1 3 3 4 4 4 4 3 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 13 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 22 36 44 48 53 55 54 51 48 39 29 19 12 9 7 3 0 0 0 0 0 0 0 0 0 2 17 28 6 0 0 0 0 0 0 2 5 12 19 21 22 41 69 54 27 2 0 0 0 0 0 0 3 18 33 30 31 35 35 36 9 1 0 1 0 7 20 22 18 7 1 0 12 49 65 48 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 22 31 41 52 66 84 109 145 154 135 128 125 91 39 44 31 50 86 86 105 120 116 96 75 71 82 100 122 129 102 77 68 59 69 76 56 28 11 4 3 2 5 16 24 23 28 39 51 73 93 105 117 130 143 154 166 176 172 160 149 148 152 152 128 87 104 137 157 159 159 156 147 132 130 143 148 145 127 106 nan nan nan nan nan nan nan nan nan nan nan 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 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 6 5 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 3 2 2 2 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 2 2 2 2 2 2 1 0 0 0 0 0 0 2 2 3 4 4 4 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 14 17 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 21 38 43 48 50 47 43 40 35 25 12 4 2 1 0 0 0 0 0 0 0 0 0 0 0 9 18 3 0 0 0 0 0 0 10 21 31 40 44 54 67 83 70 40 6 0 0 0 0 0 0 0 0 4 1 4 8 11 11 3 0 0 0 0 1 5 16 20 11 2 0 7 39 68 66 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 13 23 36 51 71 95 130 171 187 155 129 106 74 69 60 52 88 98 107 105 86 64 55 50 49 64 93 111 85 56 55 61 78 97 86 55 29 16 10 4 7 22 36 40 44 48 57 73 94 109 117 129 135 138 155 181 187 158 117 115 112 114 99 66 59 100 141 162 161 149 136 127 129 142 149 141 124 112 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 3 3 2 1 0 1 1 1 2 2 3 3 3 3 3 2 2 2 2 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 2 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 1 4 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 19 24 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 30 37 39 40 39 35 32 28 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 2 0 0 2 2 4 12 29 36 32 27 29 45 53 66 70 49 18 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 11 7 2 1 20 53 64 36 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 7 10 14 22 37 56 77 100 138 180 160 130 125 117 113 108 103 106 109 102 82 61 46 42 44 39 34 45 64 70 70 80 91 100 111 110 95 73 54 36 14 6 25 55 67 74 80 80 79 96 110 118 132 132 127 140 172 190 164 114 87 76 75 77 73 69 76 105 130 138 132 123 120 126 141 149 142 128 123 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 10 8 7 7 7 7 5 4 4 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 1 1 1 1 1 2 2 2 2 2 3 3 3 3 2 2 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 8 26 36 27 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 31 32 30 30 27 20 15 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 3 4 9 27 42 38 22 9 6 12 18 21 19 22 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 14 7 1 5 23 38 31 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 29 36 34 30 37 53 69 89 113 136 123 101 94 94 102 102 93 90 91 83 57 37 37 36 51 62 48 29 29 52 87 107 111 107 111 116 120 115 104 84 41 13 31 72 90 102 111 109 102 100 105 112 123 129 131 138 160 182 171 130 86 60 55 67 76 79 90 93 94 100 106 111 115 126 141 149 146 137 134 145 nan nan nan nan nan nan nan nan nan nan 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 12 10 9 9 9 8 6 5 4 4 3 3 3 3 4 4 4 4 5 5 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 2 3 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 2 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 22 43 41 20 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 2 9 20 24 24 23 18 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 16 34 32 16 3 0 0 2 2 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 14 18 9 0 0 8 24 25 14 0 0 0 0 0 0 0 0 0 0 0 0 0 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 29 48 64 72 68 62 67 81 97 102 90 68 52 43 35 38 46 46 45 51 58 53 43 45 46 68 92 87 66 52 70 100 119 119 107 110 119 124 127 130 126 86 40 43 84 114 123 127 127 120 108 99 96 102 115 127 133 145 164 167 145 105 67 52 57 64 61 59 64 65 60 68 94 118 130 140 149 148 144 149 158 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 16 16 16 14 12 11 11 10 8 6 5 4 3 1 2 2 2 2 2 3 4 5 6 5 4 4 3 3 3 3 4 4 4 3 3 3 3 2 2 2 2 3 3 4 4 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 38 48 33 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 1 1 0 0 2 7 13 15 15 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 24 26 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 11 7 15 21 10 1 4 9 17 20 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 20 34 55 82 96 89 78 82 87 75 53 31 22 19 16 14 15 14 11 17 29 50 64 73 78 96 116 114 107 100 105 118 125 130 125 123 128 132 134 143 155 144 93 67 96 129 138 138 138 133 119 98 82 79 87 100 110 121 134 146 144 118 82 56 48 48 48 49 49 48 35 31 59 109 135 144 147 147 152 162 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 18 19 19 18 18 16 15 13 11 9 7 5 4 3 2 2 2 2 2 2 3 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 4 3 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 35 38 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 1 3 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 18 17 18 24 18 10 11 13 14 16 16 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 20 47 68 67 55 45 39 33 23 14 11 13 16 19 25 22 16 14 17 34 55 74 91 112 119 121 124 125 132 134 132 135 138 139 142 144 148 158 174 179 155 124 115 129 141 146 151 151 137 108 79 63 63 70 80 91 102 119 129 118 94 66 48 37 34 34 37 38 29 21 34 80 131 155 156 158 167 179 188 192 nan nan nan nan nan nan nan nan 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 19 22 23 21 20 19 16 14 12 9 7 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 4 3 3 3 3 2 2 2 2 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 23 20 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 5 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 17 18 25 25 19 16 15 13 12 14 14 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 2 11 19 20 13 10 8 8 7 5 4 9 15 20 29 32 30 31 35 39 45 66 86 96 105 110 114 118 127 134 133 133 136 144 156 166 170 172 175 179 179 166 140 123 128 149 171 176 158 122 85 60 50 48 53 64 75 90 104 106 101 89 70 46 28 22 22 24 22 17 19 54 116 155 160 165 180 192 199 202 nan nan nan nan nan nan nan nan 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 16 21 26 27 24 21 19 18 16 14 11 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 3 3 3 3 3 3 2 2 2 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 13 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 9 16 23 24 20 16 14 12 18 23 13 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 0 0 0 0 0 1 2 0 1 0 2 2 2 2 8 15 23 33 36 41 51 66 75 71 79 92 101 104 102 100 100 107 119 121 118 122 138 159 171 175 174 169 173 183 183 163 128 117 144 187 197 177 139 98 69 49 37 34 42 52 62 74 88 103 115 108 80 43 17 13 13 14 13 15 38 89 126 136 147 169 193 202 203 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 8 11 16 24 29 28 23 20 18 17 16 14 12 9 8 6 5 5 4 4 4 4 3 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 2 2 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 2 2 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 9 20 21 18 15 19 25 25 16 12 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 15 25 38 44 54 69 84 97 100 102 103 105 105 102 99 97 99 102 100 95 97 111 136 157 166 168 168 172 179 188 186 159 129 140 183 202 192 160 116 82 54 32 22 23 30 36 41 57 90 123 132 115 87 51 31 25 23 24 20 38 70 89 98 121 149 182 196 197 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 6 10 17 24 28 26 23 22 20 18 14 12 11 10 8 7 6 6 5 5 4 3 3 4 4 5 5 5 5 5 4 4 3 2 2 2 2 2 2 3 3 4 5 5 5 5 4 4 3 3 3 3 4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 16 18 16 14 13 11 7 7 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 1 4 8 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 22 35 47 61 76 87 97 105 110 108 106 107 106 104 105 108 108 98 83 82 92 115 142 156 165 177 182 186 193 202 197 162 146 173 201 200 176 134 94 62 35 18 13 14 16 18 31 66 108 130 129 122 105 80 77 86 83 79 78 83 84 93 115 144 171 185 185 nan nan nan nan nan nan nan 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 4 3 4 8 16 22 24 25 26 24 20 16 14 13 12 10 9 8 8 8 7 6 4 4 4 4 5 5 5 5 5 5 4 4 3 2 1 1 1 2 2 3 4 4 3 4 4 4 4 3 3 3 3 3 4 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 16 18 15 10 2 0 1 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 2 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 15 23 38 59 74 83 92 100 103 102 105 108 108 107 112 118 114 103 84 78 86 107 133 148 161 180 190 191 195 209 216 193 166 167 186 195 181 148 106 69 40 23 14 10 8 7 15 42 82 103 120 128 121 110 115 134 140 139 130 105 89 100 132 159 175 180 172 159 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 4 5 3 3 4 8 13 15 18 22 22 20 17 15 13 12 10 9 9 9 9 8 8 6 5 5 5 5 5 5 5 4 5 5 4 4 4 3 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 4 3 3 2 2 2 2 2 1 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 1 2 2 1 1 1 1 2 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 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 21 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 32 57 75 83 88 95 97 97 100 103 103 104 110 110 103 95 82 76 83 103 126 142 155 175 193 198 198 206 218 211 185 170 180 191 184 160 118 77 46 34 25 18 11 9 14 34 53 63 81 99 104 101 106 123 138 140 125 95 73 85 130 170 182 181 163 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 3 4 4 4 4 5 6 6 7 9 14 17 16 14 12 10 9 8 8 8 8 9 9 8 7 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 1 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 1 1 1 1 0 0 1 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 11 9 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 25 18 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 1 3 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 2 8 17 34 65 87 93 92 96 97 97 101 102 100 101 107 105 91 82 76 72 76 93 115 131 144 166 191 203 203 207 220 224 204 186 190 196 189 175 138 98 67 51 42 33 25 20 24 33 34 30 34 50 71 79 85 102 120 128 120 97 77 73 91 137 169 174 154 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 2 3 3 3 3 4 4 4 4 6 10 12 11 9 7 7 6 7 7 7 8 9 9 9 8 8 6 5 5 5 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 0 1 1 1 1 2 2 3 3 3 3 3 2 1 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 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 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 5 13 23 22 19 16 14 13 8 3 2 1 0 0 0 0 0 0 0 0 0 1 8 18 23 17 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 7 23 47 82 107 112 110 113 112 110 110 110 108 105 110 111 98 85 80 75 72 79 96 111 127 150 180 201 209 208 212 223 222 210 202 196 194 187 162 129 101 79 64 54 47 41 37 33 22 11 8 14 28 46 60 83 111 132 142 135 118 110 94 100 144 158 146 129 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 0 0 1 1 1 1 2 3 3 3 4 4 5 6 6 5 4 4 4 5 5 6 6 6 8 8 9 9 8 7 6 5 4 3 2 1 1 1 2 2 3 3 3 3 3 3 3 3 3 1 0 0 0 0 0 0 1 1 2 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 21 26 26 24 23 22 21 17 10 5 2 1 0 0 0 0 0 0 0 0 2 11 23 24 17 8 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 37 66 100 124 131 130 129 126 123 120 116 113 109 110 114 110 100 94 87 76 70 75 89 106 130 164 193 212 209 200 205 221 225 214 199 196 193 177 155 135 112 92 78 70 63 52 32 14 4 1 2 7 16 25 48 83 122 143 144 136 131 131 133 148 160 157 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 4 4 4 3 3 4 4 4 5 6 6 8 8 9 9 8 6 5 3 2 1 0 0 0 1 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 1 4 17 25 28 28 27 26 25 24 22 17 8 4 2 0 0 0 0 0 0 0 0 0 4 17 30 21 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 26 53 79 113 138 141 136 132 125 120 114 107 102 98 98 109 117 114 112 108 90 71 64 74 92 113 146 177 204 208 199 195 208 220 217 203 194 190 184 175 163 146 125 105 91 77 53 24 6 1 0 0 7 9 9 21 46 79 113 131 131 129 132 145 161 176 184 187 188 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 4 4 4 4 4 3 3 3 3 4 4 6 7 8 9 9 8 6 4 3 2 1 0 0 0 1 2 3 3 3 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 4 7 20 25 27 28 28 26 25 24 22 17 10 5 3 1 0 0 0 0 0 0 0 0 0 5 13 14 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 2 12 35 63 89 124 146 138 122 114 112 107 98 88 82 76 77 97 113 119 121 122 109 86 72 73 83 98 122 150 177 195 201 199 202 213 217 205 187 179 183 187 181 168 151 130 111 89 50 18 3 2 6 17 27 28 21 19 29 56 97 131 141 132 123 127 141 160 182 200 211 nan nan nan 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 1 1 1 2 3 3 3 3 4 4 3 2 2 2 3 4 5 6 8 8 8 8 6 5 4 3 2 1 0 0 1 2 2 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 8 5 2 5 18 24 25 25 24 23 22 21 18 13 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 21 42 67 96 128 148 135 106 95 103 108 96 78 68 62 66 92 108 108 110 111 104 91 78 74 76 83 93 111 135 164 188 199 203 209 214 203 181 170 180 192 192 179 161 145 130 102 59 28 15 16 28 50 66 66 51 35 31 49 93 137 154 146 130 115 111 128 158 191 212 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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