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 3 3 4 4 3 3 3 2 1 2 1 1 2 2 3 3 3 4 4 3 2 2 2 3 3 3 4 4 5 5 6 6 6 5 4 4 4 4 3 3 3 3 2 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 3 4 4 5 5 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 6 6 7 8 8 7 6 6 6 6 5 5 6 7 8 9 9 8 8 9 9 8 6 5 5 5 5 5 6 7 7 6 5 4 4 2 5 5 1 1 3 5 1 5 16 16 9 1 -1 4 7 3 3 8 6 7 9 8 5 5 5 6 9 9 4 5 9 9 6 3 5 6 7 6 6 10 10 10 10 10 9 7 4 2 5 9 10 9 6 5 7 9 8 2 2 5 7 8 7 7 8 10 14 17 18 14 9 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 4 4 5 5 6 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 6 6 15 20 13 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 5 6 4 2 -0 -2 1 5 3 1 3 4 4 4 5 6 7 7 5 6 7 7 5 3 3 4 4 4 5 5 5 4 4 4 5 5 5 6 9 12 13 11 8 6 5 5 5 6 6 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 5 4 7 11 13 13 12 8 5 6 8 12 14 11 10 5 1 5 6 3 0 -0 -0 -4 -8 -8 -9 -8 -5 -0 4 7 8 6 3 1 3 6 8 8 10 17 18 12 8 8 8 7 6 6 8 11 13 12 11 11 11 9 6 4 4 5 9 22 30 21 9 5 5 5 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 4 4 3 3 4 4 4 4 3 3 2 1 1 1 2 2 3 3 3 3 4 3 3 2 2 2 2 2 3 3 4 4 5 5 5 5 4 3 4 4 3 3 2 2 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 4 5 4 3 3 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 6 6 7 9 9 7 6 6 6 6 5 5 6 7 8 9 9 9 9 9 9 9 7 6 5 5 5 6 6 6 7 6 6 5 4 2 5 10 7 7 10 11 2 8 13 11 7 4 2 8 9 5 6 6 5 7 4 2 7 8 7 8 10 7 5 6 9 10 8 4 5 7 10 12 13 13 10 7 10 13 11 6 2 3 6 8 9 11 10 7 7 7 5 3 6 8 8 8 8 8 8 10 12 13 13 9 5 2 3 3 4 3 3 3 3 4 4 5 4 5 5 5 5 5 5 6 6 5 4 4 4 4 5 5 4 4 4 3 3 3 3 3 2 2 2 3 3 3 4 4 5 7 16 23 16 7 5 5 5 5 5 6 6 5 4 3 3 3 3 4 5 5 6 5 3 -1 -5 -2 5 4 -1 -0 4 6 5 5 5 7 7 6 6 7 7 6 3 3 3 4 4 4 5 4 4 4 4 5 5 5 6 7 9 10 10 9 8 7 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 8 9 8 8 8 9 10 8 9 11 9 7 6 8 8 7 6 7 6 1 -4 -6 -9 -9 -3 2 5 9 10 8 6 5 7 8 7 6 10 15 14 8 6 8 8 7 6 7 7 9 10 9 7 7 6 4 5 5 5 4 5 13 19 17 11 7 6 6 6 6 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 3 3 2 2 3 4 5 5 4 3 2 2 1 1 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 5 4 4 3 3 3 4 3 2 2 3 3 2 3 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 5 5 5 5 5 4 4 3 3 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 3 4 3 4 4 5 6 6 7 9 9 8 7 7 6 6 6 5 5 6 7 8 9 9 8 9 9 9 8 7 5 5 5 6 6 6 6 7 6 5 3 3 7 9 9 12 14 8 -2 7 10 9 8 7 8 12 10 8 8 4 4 5 4 4 7 7 6 8 9 6 4 6 8 9 7 5 6 8 12 15 17 16 9 4 7 11 12 8 3 3 5 7 7 9 12 12 7 1 -1 3 8 9 8 7 6 6 7 8 9 11 9 6 3 3 3 4 3 3 3 3 4 4 4 4 4 5 5 6 5 5 5 6 6 5 4 4 3 4 4 4 4 4 4 3 3 3 3 2 2 1 1 1 3 3 3 4 5 7 22 34 21 8 6 6 5 5 5 6 5 5 5 3 3 3 3 4 5 5 6 6 6 3 -6 -10 -0 6 1 -4 1 6 6 5 4 6 6 6 6 7 7 6 5 3 2 3 4 4 4 4 4 3 4 4 5 5 5 5 6 7 7 8 9 9 8 6 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 1 1 2 3 2 3 4 3 4 6 8 8 8 6 6 6 7 9 9 9 8 6 8 10 8 3 1 1 2 6 8 9 11 11 9 7 6 7 8 6 5 8 11 9 6 7 9 9 7 6 5 5 5 5 6 5 4 4 5 6 6 6 4 4 6 7 8 10 8 6 7 7 7 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 3 2 2 2 3 5 6 6 4 3 2 2 1 1 2 2 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 5 6 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 4 5 6 6 6 8 9 9 8 8 7 6 6 6 5 5 6 6 7 8 8 8 8 9 9 9 8 6 5 5 6 6 6 6 6 6 5 -0 -6 -4 1 7 10 9 3 -4 3 8 7 7 6 9 11 8 7 8 5 5 6 8 10 8 6 5 6 8 5 3 4 5 7 6 7 8 10 12 13 14 14 9 5 5 7 8 9 6 4 3 4 5 6 10 14 8 0 1 5 9 10 9 6 5 5 7 8 9 9 6 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 5 5 6 5 4 4 3 4 4 4 4 4 3 3 3 3 1 1 1 1 1 2 2 2 3 5 7 27 39 20 7 6 6 5 5 5 5 5 5 5 5 4 3 4 5 5 5 6 7 6 5 -1 -11 -8 6 8 -3 -4 4 7 6 4 5 5 6 6 6 7 7 6 4 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 5 6 6 7 8 8 7 6 4 4 3 3 3 4 4 4 5 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 2 2 1 0 -1 -1 0 2 3 3 3 3 1 -1 1 4 6 5 5 6 6 5 8 12 11 7 5 6 8 11 11 8 7 7 9 10 9 9 8 6 5 5 6 6 6 7 9 9 8 7 9 9 8 6 4 3 2 2 3 4 5 4 4 5 7 7 6 5 5 4 4 5 8 7 7 7 7 7 7 7 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 3 3 2 2 3 2 2 3 4 5 6 6 4 3 3 2 1 1 1 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 4 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 3 4 4 5 6 5 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 6 5 4 4 4 4 4 5 5 4 4 3 3 3 3 3 4 5 6 6 6 8 9 9 9 9 7 6 5 5 5 5 5 5 6 7 7 8 8 9 10 10 9 7 6 5 5 6 6 6 6 5 4 -4 -20 -26 -11 3 4 5 7 5 2 5 7 7 5 4 6 5 7 7 7 8 8 9 9 7 7 6 4 5 5 5 6 5 6 6 6 8 10 10 9 9 8 7 6 5 5 4 6 6 2 -2 -3 1 4 8 12 11 6 6 9 11 10 8 5 5 5 7 9 9 7 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 3 2 1 0 0 1 2 1 2 2 3 4 7 25 37 21 8 6 6 5 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 3 -3 -10 -3 9 5 -1 3 7 7 6 5 5 5 5 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 5 6 6 6 6 7 7 6 4 4 3 3 3 4 4 5 4 4 4 4 4 4 3 3 4 4 3 3 3 2 2 2 1 1 0 -0 -1 -1 0 2 3 3 4 2 -2 -2 1 3 5 5 6 6 5 7 12 12 10 8 6 7 12 15 14 12 10 8 6 5 4 4 2 2 3 4 5 7 11 12 10 9 8 8 8 6 4 2 1 1 2 3 3 4 5 5 5 6 7 6 6 5 5 4 5 7 7 6 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 3 3 3 3 3 2 2 2 3 4 6 6 5 4 3 2 1 1 1 2 3 4 4 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 5 5 5 4 4 4 5 5 4 3 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 6 5 5 4 4 4 4 4 4 4 3 3 3 4 3 3 5 6 6 6 7 7 8 9 10 9 7 6 5 5 5 5 5 5 6 7 7 8 9 9 10 10 9 8 6 5 5 5 6 6 6 6 5 -2 -14 -19 -9 -4 -4 1 8 8 1 2 7 7 6 4 4 6 7 6 6 8 9 10 8 6 6 6 4 3 6 8 8 6 5 5 6 7 7 7 5 3 3 2 3 4 4 0 -3 -1 1 -2 -6 -1 8 9 8 9 10 10 12 12 9 6 4 5 5 6 7 6 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 6 6 6 5 4 4 4 4 4 4 3 4 3 2 2 1 2 2 2 2 2 2 3 3 6 21 37 26 10 6 5 5 5 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 2 -6 -10 -4 3 3 4 6 7 7 5 4 4 4 5 5 6 6 5 5 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 0 1 -1 -3 -5 -5 -2 1 0 3 4 0 -0 1 3 4 5 6 7 5 5 8 11 12 11 8 7 12 16 17 13 8 6 5 3 3 3 2 2 2 2 4 8 12 13 11 9 8 6 6 5 4 1 0 1 1 2 3 3 5 5 4 5 6 6 6 5 5 5 5 5 5 5 6 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 nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 5 4 3 3 3 3 3 2 1 1 1 4 6 6 5 4 3 2 2 2 2 3 3 3 3 3 3 4 4 4 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 5 5 4 3 3 4 4 4 4 4 5 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 5 6 5 4 4 4 4 4 3 4 3 3 3 4 4 5 5 6 6 6 7 7 8 9 11 10 8 7 7 6 6 6 6 6 6 6 6 7 8 9 10 10 9 9 7 6 5 5 6 6 6 6 6 4 0 2 7 3 -6 -5 -3 -6 -6 3 6 5 6 6 5 6 7 6 5 7 9 9 9 8 7 7 6 6 7 9 6 4 4 5 5 5 5 4 4 2 1 -2 -3 -1 4 5 -3 -6 3 6 2 2 7 10 9 10 12 12 10 9 8 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 5 4 4 5 5 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 14 36 32 13 7 6 5 5 6 7 7 7 7 7 8 8 7 7 7 6 6 6 6 5 6 5 1 -8 -14 -7 2 5 4 5 6 6 5 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 2 2 1 2 2 3 4 4 3 4 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 3 3 3 3 2 1 0 -1 -3 -6 -7 -7 -3 -1 1 5 6 4 3 4 5 5 4 5 7 7 6 5 6 7 9 7 8 10 10 10 7 5 5 5 4 4 4 4 4 3 2 3 6 10 12 10 8 6 5 5 5 4 2 1 1 1 1 2 3 4 3 4 5 6 5 5 5 5 5 4 4 4 4 5 5 4 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 6 5 4 3 3 4 5 4 2 1 1 2 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 3 4 4 5 4 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 4 5 4 4 5 5 5 6 5 4 4 3 3 3 3 3 3 3 3 5 5 6 6 6 6 6 7 7 9 10 10 8 7 7 7 7 6 6 6 6 6 5 6 7 8 9 10 10 9 8 7 6 6 5 5 5 6 6 6 5 3 7 10 5 -0 -6 -11 -8 2 7 5 4 5 4 5 6 5 5 6 7 8 9 10 9 10 8 7 6 6 4 3 2 2 2 3 3 5 8 7 3 -0 -3 -3 2 10 9 2 6 10 6 5 7 11 11 10 11 11 9 7 7 6 5 5 6 6 5 3 2 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 4 5 6 6 5 5 6 5 5 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 3 3 8 28 32 17 10 8 6 6 8 9 8 8 8 8 8 8 7 6 7 7 7 6 6 6 6 6 5 -2 -11 -12 -3 4 4 4 4 4 5 6 6 5 4 4 4 4 4 4 4 3 2 2 3 4 3 3 2 1 2 2 3 4 4 4 4 4 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 2 1 -2 -5 -4 -2 3 4 4 6 7 6 4 4 5 6 6 5 6 9 8 7 4 2 3 5 6 6 4 3 4 5 5 5 5 4 5 5 5 4 3 2 2 5 8 8 7 5 4 5 5 5 4 2 1 1 2 2 2 3 3 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 6 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 8 7 6 5 4 3 3 4 5 5 3 1 1 2 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 3 3 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 5 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 7 7 8 9 8 7 7 7 7 6 6 6 6 7 5 5 5 6 7 8 10 10 9 9 7 6 6 5 5 5 6 7 7 6 1 -1 4 11 11 5 2 3 5 4 2 2 3 2 3 4 4 5 5 5 7 8 9 9 9 8 6 6 5 4 2 0 -2 -0 2 3 8 10 9 8 6 4 3 3 4 4 2 5 8 5 3 6 12 13 12 11 10 9 6 4 3 4 6 8 7 5 3 2 3 3 3 4 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 15 25 22 14 9 7 6 9 11 10 9 8 9 9 8 8 7 7 7 6 6 6 7 7 7 5 2 -4 -10 -5 2 4 4 3 3 3 5 7 8 7 5 3 3 3 3 3 3 2 2 3 3 4 4 4 3 1 0 1 3 4 4 3 4 4 5 5 5 6 6 6 7 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 5 6 1 -0 4 6 5 5 4 6 6 5 4 4 5 8 8 7 8 8 9 8 5 3 3 5 5 4 4 5 5 5 5 4 5 5 4 4 5 4 3 1 1 5 7 6 5 4 4 4 4 4 3 2 2 1 1 2 2 3 4 4 4 5 5 5 4 4 4 4 4 5 4 4 5 5 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 9 9 8 7 5 4 3 3 5 5 5 3 2 1 1 2 3 4 4 4 3 3 3 4 4 3 3 3 4 3 3 4 4 3 3 4 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 3 3 4 3 4 5 4 4 4 5 4 3 3 3 4 4 4 4 5 5 4 4 5 6 5 5 5 4 4 4 5 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 3 4 3 3 4 4 5 5 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 6 5 6 6 6 6 6 5 5 6 8 9 9 10 9 8 7 6 6 6 5 5 6 7 7 6 2 2 9 11 10 14 15 9 2 1 2 -1 -1 3 5 5 5 4 3 5 6 6 7 8 7 6 6 5 4 3 2 1 3 4 5 9 9 7 6 4 4 5 4 1 -4 -3 1 0 1 -0 -1 7 14 15 13 10 7 3 0 1 4 6 8 6 3 2 2 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 4 5 5 4 5 4 4 4 4 4 5 4 5 5 5 5 4 5 13 19 17 12 10 8 10 11 11 9 9 11 11 9 8 8 7 8 7 6 6 8 8 8 6 4 -1 -7 -5 1 4 5 4 3 2 3 5 7 9 8 6 5 4 3 2 2 2 2 3 3 3 4 5 5 2 -1 -3 -1 2 4 3 3 3 4 4 5 5 6 6 7 7 6 5 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 3 2 2 4 4 3 6 5 4 4 4 5 5 5 5 5 5 7 10 8 6 7 9 11 10 6 5 6 6 6 6 6 6 6 5 5 5 5 4 4 6 6 5 5 6 7 6 5 5 4 3 3 4 3 3 3 2 2 1 1 2 2 3 3 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 9 9 9 8 7 6 5 4 4 5 5 5 4 2 1 1 2 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 4 5 5 6 6 5 4 4 4 4 5 4 4 5 4 4 4 4 5 6 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 6 6 6 6 7 8 8 8 6 6 5 5 5 6 6 6 6 6 6 7 8 9 10 10 9 7 6 6 5 5 5 6 6 7 8 7 7 8 8 9 15 15 8 2 2 4 -0 -1 3 5 4 4 4 3 3 5 5 6 6 5 5 5 5 5 7 5 6 8 6 6 7 6 4 3 2 1 2 8 7 -1 -3 1 -3 -6 -7 -5 4 10 12 10 8 4 2 3 5 6 7 6 4 3 2 2 3 3 3 3 3 4 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 8 11 11 11 10 11 11 10 7 8 12 13 12 9 8 7 7 8 7 7 8 8 8 7 4 -1 -5 -3 2 4 4 4 4 3 2 2 4 7 10 10 7 6 5 3 2 3 3 3 3 3 3 4 5 5 2 -3 -7 -5 -0 2 3 3 3 3 4 4 4 5 6 6 6 5 4 3 1 0 -0 -0 0 1 1 1 1 1 1 1 1 2 2 2 1 -2 -1 3 5 6 5 4 3 3 5 5 5 5 5 5 7 10 10 6 6 8 10 9 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 7 8 8 9 11 10 7 6 4 3 2 3 3 3 4 3 2 2 2 1 1 1 2 3 4 5 5 6 5 5 6 6 5 4 3 4 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 7 8 8 8 8 8 7 6 4 3 5 6 5 3 2 1 1 3 5 5 5 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 4 4 4 4 4 3 2 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 5 6 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 6 6 7 7 7 6 7 7 7 8 10 9 7 5 5 5 5 5 5 6 6 6 7 7 8 9 10 10 10 9 8 7 6 5 5 6 6 8 8 7 7 7 6 1 2 5 3 -0 2 4 3 -1 1 4 3 3 4 3 3 5 5 5 4 4 5 6 8 11 11 8 7 7 6 5 5 4 2 1 2 5 6 11 12 3 -3 7 18 9 -2 -1 7 9 8 6 5 4 6 10 10 8 7 5 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 5 5 5 3 3 4 6 7 8 9 10 9 5 6 10 12 14 11 8 6 5 6 7 6 6 7 9 9 7 2 -3 -0 3 3 3 4 4 3 3 3 3 4 7 10 8 8 8 6 3 3 4 4 4 3 2 3 3 5 7 5 -5 -13 -11 -3 1 3 3 3 2 2 3 3 4 5 5 6 5 4 3 0 -1 -1 -1 -0 -0 -1 -0 -0 1 3 3 2 4 3 1 1 0 2 6 6 5 5 4 3 4 6 5 4 4 5 6 8 9 7 5 7 8 7 6 6 7 7 7 8 7 7 7 7 7 7 6 5 6 8 9 9 9 8 7 7 6 5 3 4 4 4 4 4 4 3 3 2 1 1 1 1 2 3 4 4 5 5 6 6 6 5 4 4 4 4 3 5 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 nan
nan nan nan nan nan nan 4 5 6 6 6 7 7 8 9 7 5 5 5 6 5 4 2 2 2 3 4 5 5 4 3 2 2 1 2 2 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 5 5 4 4 4 5 4 4 3 2 3 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 6 6 5 5 5 5 4 4 5 5 4 4 5 5 5 5 6 6 6 7 6 6 7 8 8 9 10 10 8 6 5 4 4 5 5 6 7 8 9 10 9 9 10 10 10 10 13 12 8 6 4 5 6 8 9 6 1 -4 -5 -6 -10 -3 5 3 4 3 6 -0 -1 4 5 4 4 3 3 5 6 5 5 5 6 9 12 14 11 8 5 4 5 6 6 6 5 2 2 7 9 10 9 5 2 12 34 30 12 6 8 8 7 5 3 4 10 14 12 9 7 5 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 4 3 3 3 4 5 6 6 6 3 3 5 8 12 13 10 7 4 2 4 3 3 6 9 11 11 5 1 3 4 3 3 3 4 3 3 3 3 3 5 8 8 7 10 10 5 1 3 5 5 4 3 2 2 4 9 15 8 -6 -13 -10 -2 2 2 2 1 1 1 1 2 3 4 5 5 5 4 2 0 -1 -1 -1 -2 -1 0 -1 0 6 7 4 5 6 5 4 2 4 7 6 5 5 6 4 4 4 3 2 3 5 6 6 7 6 6 6 7 7 7 7 6 7 8 8 8 7 7 7 7 7 6 6 6 7 8 8 7 5 5 6 6 5 5 4 4 5 5 4 4 4 4 3 2 2 2 1 1 2 3 4 4 5 5 6 5 5 4 4 4 4 4 5 5 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 4 4 5 5 6 9 10 9 7 6 5 6 6 5 3 2 2 3 4 5 5 4 4 3 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 2 2 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 6 6 5 5 5 5 5 5 4 4 3 4 4 4 5 5 6 6 7 7 6 5 7 8 9 9 11 11 8 5 4 4 4 4 4 5 7 9 11 12 11 10 10 10 8 9 14 16 11 7 5 5 5 7 10 7 -4 -16 -16 -7 -8 -2 13 8 6 2 5 3 1 5 6 4 5 5 3 5 7 6 7 7 8 10 12 11 7 6 5 4 5 7 8 8 6 3 1 4 6 7 6 3 -0 7 23 24 14 10 6 5 6 6 4 4 8 12 13 10 7 5 4 3 3 3 3 3 3 3 3 3 4 4 5 5 6 5 5 5 5 5 6 6 5 5 5 5 4 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 4 3 3 4 4 5 5 4 3 2 1 2 4 7 9 10 10 7 4 2 2 4 5 5 6 9 7 5 6 5 4 3 3 3 3 3 3 3 3 4 7 9 7 8 13 10 1 -1 3 5 4 3 3 2 2 8 17 17 6 -2 -6 -4 1 2 1 0 0 0 0 0 1 2 2 3 4 5 4 2 1 0 -1 -0 4 5 2 1 5 6 6 6 5 8 8 5 5 7 7 5 5 7 8 6 3 1 0 2 4 5 5 5 6 7 6 6 6 7 7 6 6 7 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 6 6 5 5 5 5 5 6 6 5 5 4 5 5 4 3 2 2 2 2 3 4 4 4 5 5 5 5 4 4 5 5 4 4 5 4 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 4 3 3 4 4 6 8 9 9 7 5 5 6 7 6 4 3 3 3 3 4 5 5 4 4 3 2 2 2 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 2 2 4 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 7 7 5 5 7 9 9 10 11 11 9 7 5 4 3 2 2 4 6 9 11 13 13 12 11 10 7 5 8 12 10 7 5 5 6 7 11 9 -2 -12 -13 -2 -0 3 10 7 5 3 2 7 5 6 5 3 5 6 4 5 8 9 8 8 9 9 9 8 6 6 5 3 4 6 6 5 2 -1 -1 0 4 6 5 2 -1 1 7 10 9 10 8 7 6 6 6 4 5 6 7 6 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 6 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 4 4 5 5 5 5 5 4 4 5 5 6 6 6 6 5 4 3 3 4 4 5 5 4 3 2 1 1 2 4 6 7 9 9 9 8 6 6 5 3 3 4 5 5 6 6 5 3 3 2 2 2 3 3 4 4 5 11 10 5 11 16 6 -6 -5 1 3 3 2 1 2 5 12 17 11 3 1 -1 1 2 2 1 0 -0 -1 -1 -0 -0 1 1 2 4 6 7 6 4 7 12 12 7 3 4 5 5 4 4 5 7 8 5 4 5 6 4 3 6 10 9 5 2 2 3 4 4 5 5 6 6 5 6 6 6 7 7 6 6 7 7 8 8 8 8 7 7 7 6 6 6 7 7 7 8 6 5 4 4 5 5 6 7 5 5 6 6 6 5 5 4 3 2 2 3 4 4 4 5 5 5 5 5 4 4 4 4 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 3 3 3 3 3 3 3 3 3 4 5 7 8 8 6 5 6 7 8 8 6 4 2 2 4 4 5 5 5 5 4 3 3 3 3 2 2 2 2 3 3 4 4 4 3 3 3 2 2 2 2 3 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 2 3 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 5 6 7 8 7 5 5 8 8 9 10 11 11 11 8 6 4 2 1 1 3 5 8 10 13 15 15 13 11 8 4 3 5 7 6 5 5 6 8 12 10 3 -2 -4 2 7 10 3 3 2 3 -1 8 6 6 4 4 6 8 5 3 5 8 9 8 9 9 8 8 6 5 5 4 4 4 3 -0 -2 0 3 3 5 6 4 0 -1 0 3 6 6 8 7 7 6 6 6 4 3 4 4 3 4 5 5 4 3 3 3 3 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 6 6 6 6 5 5 4 5 5 5 5 5 4 5 4 4 5 5 5 6 6 5 5 4 4 4 4 5 4 3 2 2 1 1 2 3 4 5 5 7 11 12 11 8 5 4 3 1 3 4 6 7 6 4 3 3 3 3 3 4 4 3 4 9 12 6 7 19 15 -4 -12 -7 0 2 2 1 1 3 7 11 10 4 1 1 2 2 3 3 3 2 1 -0 -1 0 1 1 1 2 6 10 8 4 6 12 13 8 3 4 6 6 6 4 5 6 6 5 3 3 4 4 2 -1 4 8 5 3 3 3 3 4 4 5 5 5 5 5 6 7 7 7 7 6 6 7 7 7 8 7 7 8 8 7 7 6 6 7 6 6 5 4 4 4 4 5 5 5 5 6 7 7 6 6 5 4 4 3 2 3 3 3 4 5 5 5 4 4 4 4 4 4 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 3 3 3 3 4 3 3 3 3 3 4 5 6 7 7 6 6 7 8 9 9 6 4 2 3 4 4 4 5 5 4 4 4 4 3 3 3 2 2 3 3 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 6 7 7 7 6 6 7 8 8 10 10 11 12 11 7 4 2 -0 -0 2 5 7 10 12 15 16 15 11 8 6 5 5 6 6 5 5 5 8 11 10 7 3 2 5 15 20 7 5 3 1 -3 4 6 6 5 7 8 9 4 -0 3 6 8 8 8 8 7 6 6 6 6 5 4 4 2 -2 -3 5 12 9 6 5 2 -2 -2 1 5 7 5 4 4 5 5 5 4 3 4 4 3 3 5 5 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 6 6 6 5 5 4 4 4 4 4 3 2 2 2 2 2 4 4 4 4 5 8 11 12 10 7 6 4 2 2 3 5 6 6 4 3 4 4 4 4 4 4 4 4 6 8 6 8 20 22 6 -6 -8 -4 0 2 1 -0 1 3 5 7 4 2 2 2 3 3 6 10 10 7 5 4 3 0 -1 0 1 4 6 6 5 3 3 8 8 3 4 7 7 6 5 5 6 7 5 3 2 1 5 4 -5 -1 6 6 6 5 4 4 3 3 4 5 5 5 5 5 6 7 7 8 7 7 7 7 8 8 7 7 8 9 8 8 7 7 7 6 5 5 5 4 4 4 5 5 5 6 7 8 8 7 6 5 5 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 4 3 3 3 3 3 4 4 4 4 5 6 6 6 7 8 10 11 10 7 4 3 3 3 3 4 4 4 5 5 5 4 3 3 2 2 3 4 4 5 4 4 4 3 2 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 4 4 5 5 5 5 5 5 4 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 7 7 7 6 6 7 8 9 9 10 11 13 13 9 4 2 0 0 2 4 6 9 12 15 17 15 11 7 6 6 6 6 5 5 4 4 6 8 10 9 7 5 7 20 24 10 6 10 1 0 3 5 7 6 9 9 8 3 -3 2 6 7 7 8 7 6 5 5 6 7 7 6 7 7 4 3 5 8 8 6 5 3 -1 -1 3 6 7 5 3 4 4 5 4 4 3 4 6 5 4 5 5 4 4 3 3 3 4 5 4 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 3 4 6 7 6 5 5 5 5 5 4 4 3 3 3 2 2 2 3 3 4 4 3 4 5 8 9 8 7 6 6 4 1 2 4 5 5 4 4 4 5 5 5 4 4 4 4 4 5 5 8 19 24 15 4 -3 -6 -1 2 1 1 2 1 1 4 4 4 3 3 3 3 8 17 23 18 11 8 4 -3 -4 -0 3 4 4 6 9 8 5 4 5 4 6 7 7 6 6 7 7 7 4 3 1 2 6 4 1 3 6 7 8 8 8 5 4 3 3 4 5 6 6 6 6 6 7 8 8 8 7 7 8 8 7 7 7 8 8 8 8 7 7 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 6 5 4 3 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 5 5 5 6 7 8 10 11 10 7 5 4 4 3 2 3 3 4 5 6 5 4 4 3 3 4 4 5 6 5 4 3 3 2 3 3 3 3 4 4 4 4 5 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 5 5 4 4 4 5 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 6 6 7 7 7 7 8 9 9 10 10 12 13 12 9 3 1 1 1 3 5 6 8 11 15 16 14 9 6 6 7 7 6 5 4 4 5 6 7 8 9 8 4 6 22 20 8 3 11 5 8 5 5 6 7 9 8 6 4 1 5 8 7 6 6 6 6 6 4 4 6 7 7 9 11 9 7 5 4 6 6 5 3 2 4 7 9 7 5 5 6 5 5 5 4 3 5 7 6 5 5 5 3 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 3 2 5 7 8 7 6 6 5 5 5 4 4 3 4 4 3 2 2 3 4 4 4 4 4 6 7 7 6 5 6 7 6 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 6 15 24 19 9 3 -1 -0 3 3 3 3 1 -3 -1 4 8 7 5 3 4 9 16 22 21 14 6 2 1 1 2 5 5 5 6 8 7 6 4 5 7 7 7 5 6 8 8 6 4 4 6 3 2 5 6 7 5 4 5 7 9 9 8 6 5 4 3 4 6 7 7 7 6 6 7 8 8 9 8 8 8 8 7 8 7 7 7 8 7 7 6 5 7 7 6 6 6 7 7 7 7 8 7 7 8 8 7 6 4 4 4 3 4 4 4 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 8 10 11 10 8 6 6 5 4 3 3 4 5 6 6 5 4 4 4 4 5 6 6 6 5 4 3 3 3 2 2 3 3 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 6 7 8 8 8 9 9 10 10 10 10 9 9 9 8 3 0 1 3 3 5 7 9 11 14 15 12 8 7 7 8 7 6 5 4 4 6 9 9 6 7 8 1 4 17 13 6 5 6 10 11 4 5 3 4 6 7 4 5 8 9 9 8 6 6 6 6 6 6 5 5 5 6 8 10 9 6 5 5 5 4 4 4 4 6 10 10 7 5 7 8 6 5 5 4 4 5 6 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 3 2 3 5 6 7 7 6 6 6 6 5 5 5 4 4 4 3 3 3 3 4 4 3 4 5 5 6 7 6 5 6 7 8 6 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 9 19 22 13 7 4 3 5 7 6 5 2 -5 -6 2 11 14 11 4 5 8 10 11 12 10 5 3 4 5 6 5 5 4 5 6 7 7 5 5 8 7 4 3 6 9 7 5 4 6 9 6 3 5 7 7 6 4 4 5 6 8 9 9 8 6 5 5 6 7 7 8 7 5 6 7 8 8 8 9 8 7 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 9 8 7 8 9 9 8 6 5 4 4 5 5 5 5 6 7 6 6 6 7 7 7 6 6 6 7 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 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 5 7 8 10 10 9 8 7 6 6 5 5 5 6 6 6 5 5 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 8 8 8 9 11 11 11 10 9 7 5 5 7 6 4 2 2 3 4 5 7 8 11 14 14 12 8 7 8 8 7 6 5 4 4 6 10 10 7 6 8 3 -0 5 6 4 5 2 7 7 3 6 1 1 3 7 4 6 10 10 10 9 7 6 6 6 9 10 7 5 3 4 7 7 7 5 4 4 4 3 3 4 5 7 10 11 8 7 10 9 6 4 5 4 3 6 8 6 4 5 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 4 5 5 4 4 3 3 3 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 3 3 3 3 3 3 4 4 4 5 6 6 6 6 8 9 8 7 6 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 11 17 17 12 7 6 7 9 7 5 2 -3 -6 -0 11 19 17 10 5 4 6 7 7 5 4 4 4 5 6 7 5 4 4 5 5 6 5 5 6 5 3 3 6 7 6 6 6 7 8 7 5 7 8 8 7 5 4 4 4 5 7 9 10 9 8 7 7 7 7 7 7 6 6 6 6 6 8 9 9 8 7 6 6 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 10 10 10 8 7 6 6 5 5 6 6 7 7 6 5 6 7 7 6 6 6 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 4 5 7 8 9 9 9 9 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 4 4 4 5 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 4 5 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 7 8 8 9 13 15 14 12 9 5 2 2 3 5 5 4 3 4 4 4 6 7 8 11 14 14 11 8 8 8 8 7 6 4 5 7 9 10 10 6 4 10 9 -1 -3 2 3 3 0 4 4 3 6 3 1 3 7 5 6 8 8 9 8 6 5 6 7 9 9 7 6 4 3 5 6 5 3 2 4 4 3 3 5 8 9 11 9 9 11 11 8 5 4 4 3 3 6 7 6 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 2 3 4 5 5 5 4 4 4 4 5 5 6 7 7 7 6 6 6 5 4 4 3 3 4 4 4 4 3 4 5 6 6 7 8 9 8 9 9 6 4 3 3 3 3 4 5 5 5 6 6 6 6 6 6 5 6 9 15 15 11 9 9 10 9 6 3 0 -3 0 11 19 18 14 5 2 5 8 6 3 3 4 4 4 6 7 6 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 7 8 8 8 6 4 4 4 4 5 7 9 10 10 9 8 8 8 7 6 6 6 6 5 5 6 7 10 12 11 6 4 6 6 7 7 7 8 8 7 7 7 7 8 9 10 10 9 9 8 8 9 10 11 10 9 8 7 6 6 6 5 5 6 6 6 4 4 5 6 6 6 6 6 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 3 3 3 3 3 2 3 3 3 4 4 3 4 3 4 4 3 3 3 3 3 4 4 5 6 7 8 8 9 9 8 7 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 5 5 4 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 5 5 6 7 8 8 9 13 17 18 16 12 6 1 -0 0 1 3 4 5 5 5 4 4 5 7 10 11 14 14 11 9 8 7 7 6 5 4 8 11 11 9 9 3 1 7 10 4 -1 2 4 3 2 5 5 2 4 4 3 5 7 7 6 7 7 8 8 6 5 6 7 7 6 5 4 3 3 4 5 4 2 4 6 6 3 2 5 8 8 8 8 9 11 9 6 4 4 4 3 3 3 3 3 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 6 6 5 4 4 4 4 4 4 5 6 7 7 7 7 6 6 6 4 4 4 4 4 4 3 3 3 3 5 6 7 6 6 7 11 13 10 6 3 3 3 3 3 4 5 5 6 6 6 7 7 7 6 5 5 8 12 12 11 12 12 11 8 4 3 1 4 10 12 12 11 6 3 5 7 6 4 3 4 4 4 6 7 8 6 5 5 5 5 6 5 4 4 5 5 5 4 4 5 5 5 6 7 7 7 8 9 8 7 5 4 4 4 3 5 7 8 10 8 7 8 8 7 6 6 6 5 5 4 5 7 10 13 12 9 10 8 6 7 6 6 6 6 6 7 8 8 9 9 10 10 9 8 8 8 8 9 10 10 10 9 8 6 6 5 5 5 5 6 6 5 6 5 7 7 7 6 6 8 9 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 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 6 7 9 9 9 7 5 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 6 7 8 8 8 15 30 31 23 16 8 1 -2 -2 -1 0 2 4 5 6 5 4 4 6 8 11 13 14 13 11 8 7 7 6 5 4 7 12 13 10 10 8 3 -3 -2 4 7 6 5 4 4 4 5 5 4 4 6 6 7 7 8 7 8 9 9 8 7 6 6 6 5 5 3 1 1 2 3 3 2 5 9 11 7 2 1 3 2 3 4 5 8 8 6 4 4 4 4 3 2 1 -1 2 5 5 4 3 3 4 4 4 3 3 4 4 4 4 4 4 5 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 6 6 5 4 4 4 3 3 3 4 5 6 6 6 6 6 6 6 5 5 5 5 4 3 4 4 3 3 3 4 5 5 4 6 11 15 13 8 4 3 3 3 4 4 4 5 5 5 6 7 7 7 7 6 6 7 7 7 9 11 13 13 10 8 6 4 5 8 9 9 9 6 5 7 6 6 6 4 4 5 6 6 7 8 8 8 6 4 6 7 6 4 4 4 5 5 4 5 4 4 4 5 6 7 7 8 9 9 8 6 5 4 3 3 4 6 7 8 7 5 5 7 7 7 6 6 5 5 5 5 6 9 12 12 11 11 10 9 8 8 6 6 6 6 7 8 9 9 9 10 10 9 8 7 7 7 7 9 11 11 10 7 7 6 5 5 5 6 6 6 7 8 8 9 10 9 7 6 8 9 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 4 4 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 6 7 9 9 7 6 5 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 2 3 3 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 7 7 6 6 6 7 8 9 12 29 42 36 23 14 7 -1 -4 -2 -1 -0 1 3 4 6 6 5 5 6 9 12 14 14 13 10 8 6 6 5 4 6 10 13 11 7 8 9 8 -1 -6 0 8 8 5 2 4 5 4 5 6 6 7 7 7 7 7 8 9 10 10 8 7 6 6 6 5 4 2 1 1 2 3 2 1 4 10 11 5 -0 1 -0 -4 1 3 0 4 6 5 3 2 2 3 3 3 -0 1 5 6 4 4 3 4 4 5 4 3 3 4 4 4 4 4 4 5 4 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 5 5 5 5 4 4 3 3 3 3 3 4 5 5 5 5 5 6 5 5 5 4 4 3 4 3 2 3 3 4 4 4 5 6 9 13 14 10 6 3 3 3 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 5 6 7 9 11 11 9 9 7 6 9 11 11 9 8 6 7 6 6 8 6 5 8 7 7 8 5 8 9 5 2 4 7 7 5 4 4 4 4 4 4 5 4 4 4 5 6 7 8 8 8 8 7 5 5 4 3 4 5 6 6 5 4 5 6 7 8 8 7 6 6 6 6 6 7 10 10 10 8 8 8 10 11 10 8 7 7 8 8 8 9 10 9 9 9 8 6 6 6 6 8 10 11 10 7 7 6 6 6 6 6 7 7 8 8 8 9 10 10 9 8 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 5 5 4 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 4 3 3 3 3 3 4 4 3 3 2 2 2 3 5 6 7 8 7 7 6 6 5 4 3 3 3 4 4 4 4 4 3 3 3 2 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 3 4 4 4 3 4 4 4 4 4 5 4 4 4 4 3 4 4 4 5 5 4 4 4 4 4 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 8 9 14 29 33 29 20 13 11 -0 -5 -2 -0 1 1 2 4 5 6 5 5 7 10 12 15 14 11 9 6 5 5 4 6 9 11 11 8 6 6 8 10 4 -1 4 10 6 2 1 5 8 5 5 6 6 7 8 6 6 9 10 10 10 10 8 7 7 7 6 5 3 2 1 3 4 4 3 1 3 6 7 2 -3 1 0 -4 1 3 2 8 9 5 3 -0 -0 2 5 6 3 7 13 8 3 3 4 4 5 5 4 3 3 4 4 5 4 5 5 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 6 5 5 5 6 6 5 5 5 5 4 4 4 4 4 3 3 2 2 3 4 6 7 7 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 5 6 7 8 9 12 13 10 5 3 3 4 4 3 4 5 5 6 6 7 7 7 6 5 6 6 6 6 5 6 7 8 7 8 7 5 7 11 11 9 8 8 7 5 5 8 7 5 9 8 8 9 5 6 6 3 2 2 4 6 6 5 4 4 4 4 5 5 4 4 4 5 5 6 7 7 7 8 8 7 5 4 3 3 4 4 5 4 4 4 4 5 8 10 10 8 5 6 6 6 6 7 8 9 7 7 7 8 10 11 11 10 10 11 9 8 8 9 10 10 9 7 6 6 6 6 7 8 9 9 8 7 8 8 8 7 7 7 7 7 7 6 6 7 7 7 9 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 7 7 7 5 3 3 4 4 4 4 4 3 3 2 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 2 3 3 3 3 5 6 7 7 7 7 7 6 5 4 3 4 4 4 4 4 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 4 3 3 4 4 4 3 3 3 3 4 4 4 4 4 3 4 3 3 4 4 4 5 5 5 5 4 4 5 5 5 4 5 4 5 5 4 5 4 4 5 5 5 5 5 6 6 7 7 7 8 8 7 7 8 10 13 19 21 21 15 10 10 1 -4 -0 2 2 2 3 4 5 6 6 5 7 10 14 15 12 9 7 5 4 4 5 8 10 10 8 8 6 2 2 9 8 3 8 14 10 6 4 6 9 6 7 7 5 6 7 5 7 8 9 9 9 8 7 6 7 7 7 5 3 1 3 5 6 6 5 3 3 5 6 1 -4 2 3 2 5 8 10 14 12 7 2 -2 -2 2 8 11 9 11 15 9 2 3 4 4 5 4 3 3 4 5 5 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 5 5 5 4 4 3 4 4 4 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 2 3 5 7 10 10 7 6 6 6 6 5 4 4 3 3 3 4 3 4 4 6 7 8 7 6 10 15 16 10 4 3 3 3 3 4 4 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 7 9 8 8 8 6 5 5 7 6 6 7 7 7 7 6 4 4 3 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 7 7 8 8 7 5 3 2 3 3 3 3 3 3 3 4 6 9 11 10 7 6 6 6 5 4 5 6 7 6 6 5 5 7 8 9 12 15 13 9 9 10 11 11 10 8 7 7 6 6 7 8 8 7 7 8 8 9 9 8 7 7 6 6 7 6 4 4 7 8 8 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 10 8 8 8 6 4 3 5 6 6 7 6 6 6 5 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 2 3 4 5 6 7 7 8 7 6 5 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 7 8 8 8 7 7 7 9 12 13 13 11 6 5 4 5 3 -0 1 2 3 3 3 3 5 6 6 6 7 11 15 15 11 7 5 4 3 4 6 8 9 8 8 9 8 1 1 9 12 4 5 12 15 13 8 4 5 6 9 7 5 6 6 6 7 8 9 8 8 7 7 6 6 7 6 4 2 2 4 6 7 5 6 5 2 5 5 3 1 3 6 8 12 18 21 17 14 8 2 -3 -3 4 13 16 12 12 13 6 3 3 4 4 4 3 3 3 4 5 5 5 5 5 5 4 4 5 5 6 6 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 2 3 4 6 9 12 11 8 7 7 8 8 7 7 6 5 5 5 4 4 5 5 6 7 7 5 4 6 12 18 15 8 3 2 3 3 4 5 6 6 6 5 5 5 5 4 4 4 4 6 6 7 7 6 6 5 5 5 5 6 6 6 7 7 6 6 6 7 7 7 7 6 6 5 5 4 4 4 3 2 2 2 3 4 4 5 5 4 3 3 4 4 4 4 3 4 6 7 6 7 7 8 8 6 4 3 2 2 3 3 3 2 3 3 4 7 9 10 9 7 6 5 5 4 4 5 6 6 5 4 2 2 3 5 10 14 14 11 10 11 12 11 10 8 8 7 7 6 6 6 6 6 6 6 6 8 9 9 8 7 6 6 7 6 4 3 7 8 8 7 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 11 10 8 7 6 4 3 5 7 8 8 8 8 9 8 6 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 3 3 4 4 4 3 2 3 4 5 6 7 8 7 5 4 4 4 4 5 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 4 5 6 7 8 8 8 7 7 6 8 12 16 15 11 4 -6 -7 -1 3 5 4 2 2 3 3 3 4 5 6 6 7 8 11 15 15 11 6 4 2 2 5 9 9 8 7 8 9 7 -2 2 13 15 6 4 8 14 16 10 2 2 6 7 6 7 6 6 8 9 9 8 8 8 7 7 6 6 6 5 3 2 3 6 9 5 -2 3 6 0 4 5 4 4 1 4 7 10 17 20 17 16 10 3 -3 -1 8 17 16 11 11 11 6 3 4 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 4 4 5 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 6 9 11 11 8 8 7 7 7 7 8 9 8 8 7 6 6 5 5 5 5 6 4 3 4 7 13 15 12 6 3 4 4 4 5 5 6 5 4 4 4 4 4 3 2 4 5 6 7 7 7 6 6 6 5 5 6 5 5 5 6 6 6 7 7 8 7 7 6 6 5 4 4 4 4 4 2 2 3 3 3 4 4 5 5 4 3 3 3 3 3 3 4 5 5 5 5 6 7 8 7 6 4 3 3 2 2 2 2 2 2 3 4 6 8 9 9 7 5 5 4 3 3 4 5 5 4 3 2 2 3 5 9 11 12 11 11 12 11 11 9 8 8 8 6 6 6 6 6 6 5 5 6 7 8 8 7 7 6 7 6 5 4 6 8 8 7 7 8 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 11 10 8 7 5 4 4 4 5 6 6 7 8 9 10 10 7 5 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 3 3 4 5 6 6 4 4 3 4 4 4 4 4 4 3 3 2 2 2 1 2 2 1 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 5 7 8 9 8 7 7 7 8 12 18 19 14 14 7 -7 -10 -0 5 5 3 3 3 3 3 3 4 5 6 7 7 8 11 17 16 10 5 3 -0 0 6 10 10 7 4 4 8 8 2 1 11 14 7 5 6 12 15 10 2 1 7 4 4 6 4 4 7 9 9 9 9 8 8 7 7 6 5 4 3 3 6 10 9 -0 -7 6 9 1 4 4 4 4 -2 -1 2 4 7 13 19 22 13 3 -3 -0 11 17 14 10 11 12 7 3 4 4 3 3 3 3 4 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 5 5 5 5 4 5 5 5 5 4 4 3 2 2 2 2 4 5 4 4 3 3 3 3 3 3 4 4 3 3 3 4 6 8 9 9 8 7 7 6 5 6 6 8 9 9 8 7 5 5 5 4 5 4 4 4 4 5 6 10 12 9 6 5 5 4 4 5 4 4 3 3 3 3 2 1 1 2 3 4 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 8 8 7 7 6 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 1 2 4 4 5 6 7 8 8 6 5 4 3 3 3 3 2 3 2 3 4 6 8 9 8 6 5 4 3 2 3 4 6 5 4 3 2 2 3 5 7 11 12 11 11 12 12 11 10 9 8 7 6 6 6 6 6 5 5 5 5 7 8 7 7 7 8 8 6 5 6 8 8 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 7 6 5 4 4 4 4 5 5 4 5 9 13 12 9 5 5 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 3 2 1 2 2 3 4 4 4 4 4 3 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 7 9 10 8 8 7 8 13 19 20 16 14 18 13 -4 -8 1 4 3 2 2 3 4 4 4 4 5 6 7 8 9 13 18 18 10 5 1 -2 -2 4 9 9 8 5 1 -1 0 3 4 8 9 5 4 5 11 14 9 5 2 4 3 6 5 3 3 5 7 9 9 8 7 8 7 7 6 5 3 3 4 8 9 5 -3 1 17 15 5 3 2 4 3 -2 -1 3 3 4 14 26 25 14 3 -3 2 12 15 11 9 12 13 7 3 4 4 4 3 3 3 4 5 5 4 4 3 3 3 4 5 5 5 6 6 6 5 6 6 5 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 3 3 2 2 3 4 3 3 3 4 4 3 3 4 4 4 4 4 4 5 6 6 6 7 7 7 6 5 4 4 5 7 7 7 6 4 4 3 3 4 4 4 4 5 5 5 6 8 10 9 6 5 4 3 3 3 3 2 2 2 1 1 1 0 1 1 2 4 4 5 5 6 6 7 6 6 6 6 5 5 5 6 6 7 8 7 7 5 4 4 4 4 4 5 5 4 4 4 4 5 4 3 4 4 4 4 4 3 3 3 4 2 -2 -3 -0 3 5 5 7 7 8 8 7 6 5 4 4 4 2 3 3 2 2 4 6 8 8 7 6 5 4 3 2 4 6 6 6 5 3 2 2 3 6 10 11 11 13 14 13 15 14 11 8 8 8 6 6 6 6 5 5 5 6 7 8 8 7 7 7 8 8 7 7 7 7 7 6 6 6 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 5 5 5 5 5 4 4 3 1 2 5 13 16 12 7 5 4 4 3 3 2 3 2 2 3 3 4 4 4 4 3 4 4 5 5 4 4 3 3 2 2 2 1 1 1 1 2 3 4 5 5 3 3 3 2 2 1 1 0 0 1 1 2 2 2 2 2 3 3 3 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 5 5 5 5 6 7 9 11 12 10 9 9 12 19 21 15 11 14 13 8 -2 -4 0 2 2 3 3 4 4 5 5 4 5 6 8 9 11 14 18 18 11 5 -0 -3 -1 3 6 7 7 7 4 -3 -8 -4 2 6 6 5 5 6 10 12 8 7 4 2 4 8 7 4 4 4 6 8 8 6 5 7 7 6 5 4 3 3 5 8 5 1 2 15 23 16 7 2 2 5 2 3 8 11 6 8 20 29 23 11 2 -1 6 14 12 7 8 12 13 7 3 4 5 4 3 4 4 4 4 5 4 4 3 3 4 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 5 4 4 5 4 5 5 5 5 5 5 4 4 3 3 2 3 3 3 4 5 5 4 4 4 5 4 4 4 4 5 5 5 6 7 6 6 6 5 5 4 5 6 6 5 5 4 3 3 3 4 4 4 4 5 5 5 4 5 6 7 6 4 2 0 1 1 2 2 2 2 1 1 1 1 1 1 2 3 3 4 4 5 5 5 6 6 6 7 6 6 5 6 6 6 7 7 6 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 -8 -6 3 5 6 6 7 8 8 8 7 6 6 5 4 4 4 4 3 2 1 4 7 8 7 7 7 5 4 3 5 6 6 7 6 4 3 3 4 6 8 9 10 12 12 13 17 19 15 10 8 7 7 6 5 5 5 5 5 6 8 8 7 7 7 6 8 8 8 7 7 7 7 5 5 5 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 5 4 4 5 5 4 5 5 5 5 5 4 3 1 1 3 10 15 13 9 7 6 5 4 3 3 2 2 2 3 3 3 3 4 4 3 4 4 4 5 5 4 4 3 3 2 1 1 1 1 1 2 3 4 5 5 3 3 2 2 2 1 1 1 0 1 1 2 2 2 2 3 3 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 6 9 12 14 14 13 11 11 15 20 17 9 9 15 0 -8 -0 1 1 2 3 4 5 6 6 5 5 5 5 6 8 11 12 14 16 14 6 0 -2 -3 2 4 6 6 5 3 4 7 7 3 0 3 6 7 7 6 7 6 6 6 6 4 7 7 6 4 4 4 6 7 5 4 7 8 7 6 4 3 3 4 7 8 4 2 8 18 18 11 6 2 3 4 -1 6 16 17 14 19 26 26 17 7 2 2 9 13 9 6 8 13 14 8 4 5 5 4 3 4 4 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 5 5 4 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 3 0 -2 -2 -0 1 2 2 2 2 2 3 3 4 3 3 4 4 4 5 5 4 5 5 6 6 6 6 6 6 6 6 5 6 7 6 5 4 4 3 3 3 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 4 4 -5 -4 4 6 5 5 6 7 8 7 7 7 7 6 5 5 5 5 4 1 1 2 5 7 7 7 7 6 4 4 5 5 5 6 6 6 4 3 4 5 6 7 7 7 8 12 15 17 15 12 9 7 6 6 5 5 4 4 5 5 5 6 6 6 6 7 8 8 8 7 7 7 7 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 5 4 4 4 4 5 5 5 4 3 2 2 5 11 12 11 9 7 6 5 4 4 3 3 3 3 3 3 3 3 4 4 3 4 4 5 5 5 4 4 3 2 3 2 2 2 2 2 2 4 5 5 4 3 2 2 2 1 1 1 1 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 9 14 17 18 18 17 14 12 14 16 12 6 9 13 -4 -14 0 4 2 2 3 5 6 7 7 6 6 6 6 7 8 11 13 14 13 8 -2 -4 -3 -1 5 7 7 9 5 4 3 4 6 8 7 7 8 9 9 7 4 3 5 5 6 6 7 6 5 4 3 4 7 6 3 6 12 12 8 5 3 2 2 4 8 9 6 5 10 13 10 6 6 5 4 1 -4 1 12 16 20 25 25 19 11 5 3 5 10 10 7 6 9 14 15 8 4 5 5 4 3 4 4 5 5 5 4 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 5 4 4 4 4 5 6 6 5 5 5 5 5 4 4 5 6 5 5 5 5 5 4 4 4 4 5 4 5 5 4 4 4 3 2 1 -0 -1 0 2 2 2 2 2 3 4 5 6 6 6 6 6 5 5 6 6 5 5 5 6 6 6 7 6 6 6 6 6 6 5 4 4 4 3 3 3 5 6 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 8 6 2 2 5 6 5 5 5 6 6 7 7 7 7 6 6 6 7 7 3 0 1 2 4 6 7 6 7 7 5 5 5 5 5 5 4 4 4 3 3 4 3 3 3 3 5 8 11 11 12 13 11 9 7 6 5 5 4 4 3 3 4 5 5 5 5 6 7 7 7 6 6 6 6 6 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 5 4 3 3 3 3 4 4 3 3 4 6 8 9 9 8 8 7 6 5 4 3 3 3 2 3 3 3 4 4 3 3 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 1 1 2 2 2 3 3 4 4 4 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 7 14 20 21 22 20 16 14 11 13 15 12 6 9 11 2 -5 -2 2 2 2 4 6 7 8 7 7 6 6 7 7 9 12 13 13 10 3 -2 -1 2 5 8 7 7 10 5 7 9 6 1 3 7 10 11 10 9 8 4 3 4 5 5 5 6 6 5 4 3 5 7 5 3 9 16 14 9 4 2 2 3 6 8 7 6 7 8 9 6 5 6 6 4 -0 -5 -3 3 9 16 21 18 12 7 4 4 7 9 7 6 7 11 13 11 6 4 6 5 4 3 4 5 5 5 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 3 4 5 6 5 5 5 5 6 6 5 6 6 7 7 7 6 5 4 3 4 5 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 3 2 3 4 5 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 5 3 3 3 3 4 4 4 5 6 7 7 7 6 6 6 5 5 5 5 4 5 5 6 8 8 12 11 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 9 8 1 -0 3 3 3 5 6 5 6 6 5 5 4 4 4 3 3 2 2 2 3 3 3 2 1 1 3 4 6 8 10 11 12 10 8 7 5 5 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 4 4 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 8 9 10 8 5 3 1 1 2 3 3 3 3 3 4 7 8 9 8 7 7 6 6 5 4 3 3 3 3 3 3 3 4 3 3 4 4 4 5 5 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 2 1 1 1 2 2 2 3 4 4 4 5 5 5 6 6 6 6 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 10 18 24 21 20 17 13 11 10 14 19 13 6 7 7 4 1 -0 3 3 4 5 6 8 8 7 6 7 7 7 7 9 11 13 11 4 -2 -1 2 2 5 8 6 7 8 4 4 8 11 8 5 5 8 10 10 10 9 5 4 3 4 4 5 6 5 4 4 3 6 8 6 6 10 15 13 8 4 3 4 5 6 6 6 7 7 7 7 6 5 6 6 4 1 -1 -3 1 5 12 15 12 7 4 2 3 5 7 6 6 8 12 14 12 6 4 6 5 4 4 4 5 5 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 3 4 4 5 6 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 6 7 8 7 6 5 4 3 4 6 7 6 6 5 5 6 6 6 5 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 4 4 4 4 4 5 6 7 7 6 5 4 4 4 4 5 6 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 7 7 7 6 6 5 2 2 2 3 4 5 5 5 6 7 8 7 6 5 5 5 5 6 5 5 6 8 12 16 15 14 12 9 6 5 5 5 5 5 5 6 6 6 7 7 8 8 7 7 6 3 3 4 4 3 3 3 3 4 4 5 4 4 4 4 3 2 2 1 1 2 2 3 3 1 1 2 3 3 4 6 9 10 10 9 8 8 6 6 5 5 5 7 7 7 7 6 5 4 4 4 4 4 3 3 3 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 8 10 13 15 12 7 2 -0 -0 0 1 2 1 1 2 4 6 8 8 8 7 7 6 5 5 4 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 3 3 3 4 4 3 3 3 3 3 2 1 1 1 2 2 3 3 4 4 4 5 5 6 6 6 6 6 6 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 5 7 12 18 19 16 13 11 9 8 10 19 23 10 3 4 3 2 2 3 5 5 5 6 7 8 9 7 6 7 8 7 7 10 11 11 9 2 -3 -1 1 2 3 6 6 7 3 1 0 -0 2 6 9 9 9 8 9 12 10 6 5 4 4 5 4 5 5 4 4 4 8 10 7 8 11 13 11 7 4 4 5 5 4 3 4 6 5 5 6 5 5 6 5 4 5 5 3 7 10 13 12 7 2 1 1 1 4 6 6 6 9 13 13 9 4 4 6 5 4 4 5 5 5 5 4 4 4 5 6 6 5 5 5 4 5 4 5 5 5 5 5 5 5 5 6 6 6 5 4 3 3 4 5 5 4 4 4 4 5 4 4 4 5 5 4 4 5 5 4 4 5 6 7 7 6 4 4 4 5 6 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 5 7 8 10 10 8 6 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 5 3 2 2 3 4 5 5 5 6 7 8 7 6 5 5 5 5 5 6 5 7 10 16 19 16 9 5 5 5 5 5 4 4 5 5 6 7 7 7 7 8 8 7 7 6 5 5 5 4 3 3 3 2 2 2 3 4 5 6 4 3 2 2 2 2 2 2 2 2 2 1 1 2 2 3 4 5 6 8 9 10 10 9 8 8 7 7 6 6 7 7 6 5 4 4 5 4 4 3 2 3 3 3 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 6 8 11 15 16 12 7 2 -0 -1 -1 -1 -0 0 1 3 5 6 7 6 6 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 3 4 4 4 3 3 3 3 2 1 1 1 2 2 3 3 3 4 4 4 5 5 6 6 7 6 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 7 11 16 18 14 10 8 7 7 8 12 21 18 4 -0 2 3 4 4 5 6 6 6 7 8 9 9 8 7 7 8 8 8 10 10 8 6 4 2 2 4 5 5 6 6 6 2 1 2 0 1 4 7 9 10 8 9 11 9 7 7 6 6 6 6 5 4 5 4 6 9 11 9 9 12 13 11 5 2 5 6 4 2 3 6 6 3 5 8 6 5 6 4 4 8 14 12 14 16 15 11 3 -3 -1 2 2 4 8 7 7 10 11 9 5 3 4 6 5 4 4 5 5 6 5 4 3 3 5 6 6 5 5 5 5 4 4 4 5 5 5 5 6 5 5 6 6 6 4 4 4 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 3 3 4 5 6 5 4 3 4 5 7 8 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 5 6 7 9 11 11 7 5 4 4 4 4 5 5 5 5 5 5 5 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 6 4 3 3 4 5 5 5 6 7 7 7 7 6 5 5 5 5 5 6 6 7 9 11 12 10 5 3 3 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 8 7 6 5 5 4 4 4 4 4 3 1 2 3 4 5 4 3 3 3 3 3 2 2 2 2 1 1 1 1 2 2 3 4 4 5 6 8 9 9 9 8 7 5 3 3 4 5 5 6 6 5 5 5 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 3 3 3 3 4 4 6 9 12 13 11 7 4 2 0 -1 -0 0 1 3 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 2 1 1 2 2 3 3 3 3 4 4 4 4 5 6 6 6 7 5 5 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 6 10 16 19 17 12 8 7 7 7 8 13 16 10 -1 -2 2 4 5 5 6 6 6 7 8 9 10 10 8 7 8 8 9 7 5 6 6 6 6 5 5 6 6 8 9 9 8 5 4 6 6 6 8 7 9 10 8 7 7 7 9 11 9 7 9 7 5 6 7 6 6 8 10 10 10 11 11 8 3 0 6 6 2 1 6 11 8 6 10 10 7 6 5 4 4 10 15 15 17 19 15 8 -1 -4 2 6 6 9 10 8 8 10 9 7 5 5 4 6 6 5 5 5 5 5 4 4 4 3 4 5 5 5 5 5 4 4 4 4 4 4 5 6 6 5 5 5 6 5 4 3 4 6 6 5 5 5 5 5 5 4 4 5 6 6 5 5 5 5 4 3 2 2 3 3 4 4 4 3 4 6 7 7 7 7 7 7 6 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 8 10 8 5 4 4 4 3 3 4 4 4 4 4 4 5 6 6 6 6 5 6 6 6 7 6 6 7 7 7 6 6 6 5 5 4 5 6 5 4 5 6 7 7 6 6 5 5 5 5 6 6 6 7 7 7 6 6 8 6 5 5 4 4 4 4 4 5 6 7 7 7 7 7 7 8 8 7 6 5 4 4 4 3 4 6 5 3 2 2 3 3 3 3 4 4 4 4 3 3 2 2 1 1 1 1 1 2 3 3 3 3 4 3 5 8 8 7 6 3 2 3 4 4 4 5 5 6 5 4 4 4 4 3 3 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 3 3 4 6 8 9 9 8 6 4 2 1 0 1 3 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 5 5 6 7 7 5 4 4 4 4 3 3 4 4 4 6 7 7 6 5 5 4 4 3 3 2 0 0 1 2 3 3 3 3 4 4 4 4 5 5 6 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 7 14 17 16 13 10 8 7 7 7 8 12 13 5 -0 -0 2 3 4 5 6 7 7 8 9 9 10 10 9 8 8 9 9 3 -1 2 7 8 7 7 7 7 6 7 9 12 13 7 2 5 9 10 11 10 13 10 7 4 3 7 13 14 11 8 8 7 6 7 9 9 7 7 8 9 9 9 8 5 1 1 7 6 1 3 9 10 9 11 11 9 6 6 4 2 -0 3 9 15 19 20 14 6 -1 0 7 11 12 13 11 9 9 8 8 7 6 5 5 6 6 5 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 6 6 6 5 5 4 4 3 3 4 5 6 6 5 5 5 5 5 5 5 6 7 6 5 5 5 4 4 4 3 2 2 3 4 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 6 6 7 7 5 5 4 4 4 4 3 3 4 4 4 4 4 4 5 5 6 6 6 5 6 6 6 6 5 6 6 6 5 5 6 6 5 6 7 8 5 4 4 6 6 7 6 6 5 5 5 5 6 6 7 7 7 5 3 7 12 8 4 4 4 4 4 4 4 4 5 6 7 7 7 6 7 7 8 8 7 6 5 4 4 4 4 5 5 4 2 3 3 4 3 4 4 4 4 4 4 4 3 3 2 1 0 -0 0 1 1 2 3 3 3 3 3 4 5 6 6 5 4 5 4 4 4 4 4 5 5 4 4 3 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 8 6 4 4 3 3 3 2 3 4 6 7 8 9 8 6 3 1 0 0 2 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 8 12 12 8 5 4 4 3 3 3 3 3 3 5 7 9 8 6 5 4 4 4 3 1 0 1 2 3 3 3 3 4 4 4 4 4 4 5 6 6 7 7 6 6 5 4 3 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 11 13 11 9 9 8 7 6 6 8 13 15 6 2 1 2 3 4 5 6 7 7 8 8 7 9 11 11 10 9 10 7 -2 -5 2 9 9 8 9 8 7 7 5 5 10 14 9 4 3 7 10 10 11 13 9 8 5 4 8 13 13 11 11 10 9 9 9 10 8 5 4 6 7 7 8 7 3 -0 3 7 4 1 5 7 8 10 10 7 5 6 6 3 -0 -3 -4 7 19 22 18 11 4 2 6 12 15 15 12 9 7 7 8 8 7 6 5 4 6 7 7 6 5 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 4 4 4 3 4 5 5 6 5 5 5 5 5 5 6 7 7 5 5 5 5 5 6 6 5 4 4 5 6 7 7 7 7 7 6 6 6 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 7 7 6 7 6 5 6 7 7 6 5 5 4 4 5 4 4 4 4 4 5 5 6 6 6 6 7 6 5 5 5 5 5 5 5 6 9 12 14 15 12 6 3 3 4 6 6 6 6 5 5 5 6 6 7 7 7 7 5 3 6 6 4 4 4 4 3 3 4 4 4 4 6 7 6 6 5 6 7 8 9 8 8 7 5 4 4 4 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 0 -0 0 1 2 2 2 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 7 6 5 4 3 3 3 3 3 3 4 5 7 8 8 7 4 2 1 1 3 5 5 5 5 5 6 7 7 7 7 6 6 6 5 5 8 14 15 10 4 3 4 4 3 3 3 3 3 3 6 8 8 6 4 4 4 4 3 1 1 1 2 3 3 3 3 4 5 5 5 4 4 5 5 6 7 7 6 6 5 4 4 4 3 3 4 4 4 4 4 3 3 3 2 2 3 3 3 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 8 9 8 8 8 7 6 6 5 9 15 16 8 3 2 2 3 4 6 7 7 7 7 6 6 8 11 13 12 11 10 5 -3 -4 4 9 9 10 10 7 9 11 6 2 5 9 9 5 3 4 5 7 12 9 7 8 5 6 10 11 9 9 11 12 12 11 10 9 6 3 4 6 6 7 8 6 3 1 5 7 5 5 8 6 3 5 5 3 3 6 6 1 -4 -5 -4 8 22 22 15 7 3 4 10 14 15 13 10 7 6 7 8 8 7 6 4 4 6 8 7 6 5 4 4 4 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 5 5 5 6 7 9 9 8 6 5 6 8 9 10 9 8 7 7 6 5 4 2 2 2 2 2 3 3 3 4 4 5 5 5 6 6 6 7 6 6 7 6 6 7 8 9 9 9 8 8 8 9 10 10 8 7 6 6 6 6 6 6 5 5 4 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 6 13 27 30 25 17 6 1 2 3 5 6 5 5 5 5 6 6 6 7 8 8 8 6 3 -1 -3 2 4 4 3 3 2 3 4 4 4 5 6 6 6 5 5 6 7 8 9 9 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 2 1 1 1 1 2 2 2 2 2 3 3 3 4 4 4 5 5 5 4 4 4 3 4 4 4 4 3 3 3 3 3 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 4 5 6 5 4 3 3 3 3 3 3 3 4 5 8 10 9 6 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 6 5 5 7 12 15 9 5 4 5 5 3 2 3 3 3 3 5 7 7 5 4 4 5 4 3 2 1 1 2 3 3 2 3 4 5 5 5 5 4 4 5 7 7 7 6 6 5 4 4 4 4 3 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 5 5 6 5 6 8 8 9 8 7 6 6 6 10 12 10 5 2 2 3 4 5 6 7 6 6 7 6 5 8 12 15 14 11 7 4 0 1 6 9 8 9 8 4 4 8 9 7 6 6 5 3 3 3 2 2 4 4 6 7 6 8 10 9 8 8 5 7 10 10 10 9 6 5 7 10 9 9 9 7 3 3 8 8 8 9 5 1 3 6 6 4 4 6 3 -1 -2 -2 -0 12 21 19 11 6 5 7 11 13 13 10 7 5 6 7 7 8 8 7 5 4 7 8 7 6 5 5 6 5 6 5 4 3 3 3 3 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 6 6 6 6 6 5 6 7 10 12 11 9 7 7 8 9 10 9 9 8 6 5 5 3 2 -0 -1 -1 -0 2 3 5 6 6 6 7 8 8 9 9 10 11 11 10 10 10 10 10 10 10 11 10 9 9 9 9 11 11 10 9 7 7 8 8 9 9 8 7 5 5 5 5 6 6 6 6 5 5 5 4 4 4 3 3 3 9 24 30 28 21 7 -1 -0 2 4 5 5 5 6 6 6 7 7 8 9 10 10 7 1 -5 -3 2 4 4 3 2 2 3 3 3 4 5 6 7 6 5 5 5 6 7 8 9 9 8 7 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 4 4 5 4 4 3 2 2 2 3 2 2 2 1 2 2 3 3 3 3 4 5 5 5 4 3 3 3 4 3 3 3 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 5 6 6 5 4 3 2 3 3 3 4 4 4 6 9 11 10 9 7 7 6 7 7 7 6 6 6 6 7 7 7 6 6 6 6 7 10 12 11 9 8 9 8 5 3 3 3 3 3 3 5 6 6 5 4 5 5 4 2 2 1 2 3 2 2 3 4 5 5 5 5 5 5 5 6 7 7 6 6 5 5 5 5 5 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 5 8 10 9 8 7 6 7 9 12 7 4 3 3 2 3 5 6 6 6 6 6 6 5 5 10 17 19 14 10 5 4 4 6 9 9 9 8 5 5 5 10 11 10 7 5 3 3 4 2 1 0 1 4 7 7 8 8 9 9 10 8 4 4 7 7 8 6 4 7 11 13 12 12 11 7 4 5 8 8 6 2 -6 -6 6 15 12 6 9 13 7 3 6 7 8 15 20 16 9 6 6 9 12 12 11 8 6 5 5 6 7 8 8 6 3 3 6 7 6 6 6 6 6 5 5 5 4 3 3 3 3 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 7 7 6 6 6 6 9 12 12 11 9 7 7 7 8 8 7 6 5 4 3 2 0 -1 -0 1 2 4 6 9 11 13 12 11 11 11 12 12 11 12 12 13 13 12 12 12 12 11 10 10 10 10 9 8 9 10 10 9 9 9 9 9 11 12 12 12 10 8 7 6 6 7 6 6 6 5 4 4 4 4 5 4 3 1 1 5 12 17 17 11 6 3 1 3 4 5 6 6 6 7 7 7 7 9 12 14 11 5 0 0 2 3 3 3 2 2 2 3 4 4 5 6 6 7 6 4 4 5 6 7 8 8 8 8 7 6 5 4 4 3 4 4 5 5 5 4 4 3 4 3 3 3 3 4 4 5 5 4 4 3 4 4 4 3 2 2 2 2 2 3 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 7 8 6 6 5 3 3 3 3 4 4 4 5 6 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 7 6 6 6 7 8 9 10 11 11 12 12 11 9 7 4 3 4 3 3 4 5 5 5 4 5 6 4 3 2 2 3 2 2 2 2 3 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 6 6 7 7 6 9 11 10 9 8 7 7 16 16 6 3 3 3 4 4 5 6 7 6 6 6 5 5 7 13 21 19 12 9 7 6 7 9 10 10 10 8 6 8 9 11 13 13 7 3 3 4 5 5 5 3 4 9 10 8 7 8 9 10 11 8 4 5 6 4 4 4 5 8 11 12 11 10 8 4 2 3 7 5 -0 -5 -7 -3 5 14 15 8 14 28 30 22 17 13 12 17 17 11 7 6 7 10 12 11 9 7 5 5 6 6 8 8 7 5 3 3 3 3 6 7 7 7 6 5 5 4 4 3 4 4 4 4 4 5 5 4 4 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 7 8 8 7 7 7 6 7 9 11 11 9 7 5 6 5 5 4 3 2 1 1 1 1 1 2 4 7 10 12 14 15 16 17 17 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 13 12 11 10 9 8 7 7 8 7 7 6 5 4 4 4 5 5 4 2 -0 -1 3 7 10 12 11 7 3 2 3 4 5 6 7 7 7 7 7 9 13 18 18 13 7 3 2 2 3 3 2 2 2 2 3 4 5 6 6 7 6 5 4 4 5 6 7 7 8 8 8 7 6 5 4 4 3 4 4 4 4 4 3 3 4 3 3 4 3 3 4 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 4 5 6 6 6 5 5 5 5 5 4 3 3 3 4 4 4 4 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 8 8 7 6 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 7 7 8 9 9 11 11 11 9 7 5 6 7 9 10 10 11 11 11 12 12 13 11 8 6 5 4 4 4 5 6 5 5 5 5 5 4 3 3 3 3 2 2 3 3 3 4 4 4 3 4 5 5 6 6 6 5 5 5 6 5 5 5 5 5 5 6 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 9 12 11 10 9 10 12 20 15 5 3 4 5 5 5 6 7 7 7 6 6 4 6 11 15 17 14 11 9 7 8 9 10 10 9 8 8 11 10 5 6 13 14 9 2 3 4 4 5 7 5 5 6 5 5 5 6 9 11 11 8 4 3 4 3 3 4 6 7 8 8 8 7 3 -1 -2 3 9 4 -2 -3 0 3 5 14 17 11 18 36 45 36 23 16 15 15 12 7 6 6 9 10 11 10 8 6 5 6 6 7 7 7 7 5 4 5 3 2 5 8 8 7 6 5 5 4 3 4 5 6 5 4 4 5 5 5 4 5 5 5 5 4 4 5 4 4 5 5 4 5 5 5 5 5 5 5 6 7 7 8 7 7 7 6 7 7 7 7 6 5 4 3 2 1 1 1 1 1 2 3 5 6 8 11 13 15 17 17 16 15 14 13 11 9 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 10 10 10 9 8 8 9 9 9 9 7 5 4 4 7 9 8 4 0 1 4 6 8 11 10 5 1 1 2 4 5 5 6 7 7 7 6 8 14 22 24 18 11 7 4 3 2 2 2 2 2 2 3 4 4 5 5 6 6 6 5 4 3 4 5 6 7 8 8 8 6 6 5 4 4 3 3 2 3 3 3 3 3 4 3 4 4 4 5 5 6 6 6 5 5 5 6 6 6 5 5 3 2 2 2 4 5 7 6 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 8 8 9 10 9 6 4 3 4 4 4 4 4 5 5 5 5 5 5 6 7 8 10 11 12 14 14 13 10 7 7 7 9 10 10 10 10 10 11 12 13 14 13 10 6 4 4 5 6 6 6 5 5 5 5 4 3 3 4 3 2 2 2 3 3 3 3 3 3 3 3 4 5 5 5 5 5 6 6 5 5 5 5 5 6 6 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 6 7 7 6 6 7 11 12 12 11 10 15 19 16 3 -1 2 4 5 5 6 6 7 7 7 6 5 5 9 13 14 12 10 10 9 9 11 12 11 11 9 8 10 14 11 1 1 8 9 7 3 3 4 4 3 4 5 3 1 1 3 3 5 9 11 10 9 7 7 9 7 4 5 6 7 8 8 6 4 0 -4 -3 6 11 6 1 2 5 3 0 8 15 13 22 33 33 24 19 20 18 13 7 4 4 8 10 9 9 9 7 6 5 5 6 6 6 6 7 5 4 5 5 3 4 8 8 7 6 5 5 4 4 5 7 7 6 5 4 4 4 4 4 5 6 6 5 5 4 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 5 5 4 4 3 2 2 1 1 0 1 2 4 5 6 7 8 10 11 12 13 13 13 12 11 10 8 7 7 7 7 7 7 8 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 9 9 10 9 7 6 6 13 21 18 9 2 4 7 8 9 10 7 -2 -3 0 2 3 5 5 6 6 7 7 7 8 15 23 26 21 13 9 6 4 2 2 3 2 2 3 3 3 4 4 4 5 6 6 6 4 3 3 4 6 7 7 7 7 7 6 5 5 4 4 3 2 2 2 3 4 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 6 4 2 2 2 4 5 6 5 5 5 5 4 4 4 4 3 3 2 3 2 2 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 7 8 9 12 13 11 7 4 4 4 4 4 4 5 5 6 6 5 5 6 7 8 8 8 9 11 14 14 12 10 8 8 8 8 9 10 10 11 11 11 12 13 14 11 7 4 3 4 5 7 7 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 4 5 4 4 4 4 5 6 6 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 6 8 12 13 12 10 12 18 20 9 -2 -5 1 4 5 5 6 6 6 7 7 7 5 5 8 11 11 9 9 10 11 13 16 13 10 10 6 5 10 13 7 1 3 8 7 4 3 3 4 5 5 4 3 3 2 1 1 1 4 9 10 11 11 12 15 18 17 10 8 7 7 8 7 5 2 -1 -2 0 6 9 6 4 6 8 2 -6 -1 8 14 23 26 21 13 13 16 14 8 2 1 5 9 10 9 8 8 7 7 5 5 6 5 4 6 6 5 5 7 7 5 4 7 7 7 6 5 4 4 4 6 7 8 7 5 5 4 3 4 5 6 6 7 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 6 6 5 4 3 3 1 1 1 1 1 0 1 3 5 7 8 9 9 9 8 9 9 9 9 9 8 8 7 7 6 6 7 6 7 7 7 7 6 6 6 5 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 7 8 8 9 10 10 11 11 11 11 10 9 9 8 9 9 9 8 7 13 24 27 21 12 7 7 8 8 9 8 4 1 3 2 3 4 5 5 5 6 6 6 7 9 14 21 23 20 14 10 7 4 3 2 4 5 4 3 3 3 4 4 4 4 5 5 6 5 4 3 4 5 6 6 7 6 6 5 5 6 6 5 5 4 3 3 4 4 4 3 3 3 3 3 4 5 6 6 6 7 7 6 6 6 7 8 8 8 6 4 2 2 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 7 7 8 8 12 17 15 10 6 4 3 4 4 4 4 5 6 6 6 5 6 7 7 5 4 5 8 11 13 13 12 10 9 7 6 7 8 9 10 11 11 11 11 12 11 8 5 3 4 5 7 8 8 7 6 5 5 5 5 4 4 3 3 3 3 3 3 2 2 2 2 3 4 4 5 4 3 4 5 6 6 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 6 5 5 6 9 12 14 13 11 9 10 15 12 5 1 -3 1 3 4 4 4 5 6 7 8 7 5 4 6 8 8 7 8 11 14 18 19 14 9 8 4 0 4 7 5 5 8 10 7 3 3 4 5 6 7 5 2 2 -1 -2 -2 0 5 8 9 9 10 13 19 22 20 13 9 7 8 8 6 4 2 1 1 4 6 7 5 5 7 9 5 -2 -1 5 11 18 20 16 10 9 11 8 -0 -5 -0 7 9 9 9 8 8 8 7 5 6 5 4 5 6 6 4 6 8 9 7 5 6 7 7 6 5 4 4 3 4 6 7 7 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 1 0 0 1 2 2 4 6 7 7 7 7 7 7 6 6 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 5 5 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 9 9 10 11 11 11 11 11 10 9 8 8 8 8 7 9 16 21 19 13 9 9 10 9 9 9 9 7 6 6 3 3 4 5 5 4 5 6 7 7 8 12 17 20 18 14 11 8 5 3 1 3 5 6 4 3 3 4 4 4 4 4 5 6 6 5 5 4 4 4 5 6 6 5 5 5 6 7 7 8 7 6 5 5 4 4 4 3 3 3 2 2 3 5 5 6 7 7 7 6 6 6 7 8 8 7 6 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 5 6 7 7 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 5 5 7 7 7 10 16 16 10 6 4 3 3 3 4 4 4 6 6 6 6 6 7 6 4 4 6 8 11 12 11 11 10 9 7 5 5 6 7 9 10 12 12 12 11 10 9 6 5 4 5 7 9 9 8 7 6 5 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 3 4 4 4 3 4 6 6 7 6 5 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 3 4 5 6 6 6 6 6 5 5 8 12 17 20 18 11 8 6 8 8 2 2 3 0 1 2 2 2 3 4 6 7 8 7 5 3 3 5 6 7 9 10 13 17 17 14 10 8 3 0 3 6 4 3 5 6 6 4 3 3 5 6 8 7 3 -0 -3 -4 -2 1 6 9 8 7 7 8 14 18 17 12 7 7 7 6 4 1 2 3 4 5 7 6 5 4 4 8 13 7 2 3 8 12 13 10 8 11 11 3 -6 -5 4 10 9 9 7 7 8 8 6 5 6 5 4 5 5 5 5 7 9 11 10 7 5 6 6 6 6 5 3 3 3 5 7 6 5 3 3 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 4 5 6 7 7 7 6 5 5 6 6 6 7 7 7 8 8 8 8 8 7 6 6 6 5 5 5 4 4 4 3 2 2 2 2 3 3 3 4 4 4 5 5 4 4 4 4 4 5 5 5 6 7 8 9 9 10 11 11 10 10 9 7 7 7 7 7 9 11 10 9 8 9 9 8 9 9 10 10 11 9 2 2 3 4 5 5 5 5 5 7 7 7 10 14 17 16 13 12 9 6 3 0 -0 3 5 5 4 4 4 4 4 4 3 4 5 5 6 6 5 4 4 4 5 6 6 5 5 5 6 7 9 9 9 7 6 6 5 5 4 3 3 2 2 3 4 5 6 6 7 7 7 6 5 6 6 6 7 7 6 7 6 5 5 5 4 4 5 5 6 6 5 3 4 6 7 9 10 9 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 9 6 4 5 6 6 9 14 13 8 4 2 3 3 3 4 4 4 5 5 6 7 7 7 5 4 5 8 11 12 11 10 7 7 8 7 5 4 5 6 8 10 13 15 15 14 13 11 9 7 6 6 7 9 10 9 8 6 5 5 5 5 5 4 3 3 3 3 2 2 1 1 2 2 3 4 4 4 4 5 6 7 7 7 6 5 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 5 6 6 6 6 5 5 8 16 23 26 25 17 6 3 4 6 3 -2 -0 2 1 1 1 1 2 3 4 5 6 7 7 6 3 2 2 5 7 8 9 10 11 12 13 14 11 6 3 6 7 2 1 2 3 5 5 4 4 5 6 8 9 8 3 -2 -2 -1 3 8 9 8 6 5 4 8 13 13 10 6 5 4 3 1 -1 3 4 4 5 6 6 4 3 2 6 14 10 2 2 9 13 12 8 8 10 8 1 -3 4 11 11 9 8 7 7 7 6 5 5 6 5 5 6 5 4 5 8 11 12 11 7 4 4 5 6 7 5 4 2 2 4 6 6 5 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 5 4 4 4 4 4 5 4 5 5 5 5 5 4 4 3 3 5 6 8 8 8 6 5 5 5 5 6 6 6 7 7 8 8 8 8 8 7 6 6 5 5 6 5 5 4 4 3 3 3 3 3 2 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 8 8 9 9 9 9 7 6 7 8 9 9 9 7 7 7 8 8 8 8 8 9 10 11 13 11 4 3 4 5 6 6 6 5 6 6 7 8 11 13 14 13 12 11 9 7 5 3 1 2 5 5 5 4 4 3 3 4 4 3 4 4 5 6 7 6 4 4 5 5 6 6 5 4 4 6 8 9 10 9 8 7 6 5 5 4 4 4 3 4 4 5 5 5 6 7 7 6 5 5 4 4 5 6 7 7 7 7 7 7 6 5 5 7 8 9 8 6 5 7 10 11 11 9 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 10 11 8 5 5 5 6 9 12 10 6 3 2 2 3 4 4 5 5 5 5 5 6 8 9 7 5 6 8 10 10 10 7 4 3 4 5 5 4 4 6 8 11 15 19 20 20 18 14 11 8 6 6 7 9 10 9 7 5 5 5 5 6 5 4 3 3 2 2 2 1 1 1 1 2 3 4 4 5 5 6 8 8 8 8 7 6 5 4 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 4 5 6 5 6 7 6 5 8 15 23 28 27 23 16 7 4 6 7 3 -3 -2 -0 0 1 1 1 2 2 4 5 7 7 6 6 5 3 3 5 7 10 10 8 8 8 10 13 13 8 2 5 4 2 2 2 4 6 6 6 5 5 6 8 11 12 7 2 0 1 4 8 9 8 6 4 4 7 9 11 9 5 3 3 2 -1 -2 3 4 4 5 5 6 6 4 5 8 7 3 5 6 12 18 16 8 6 9 7 6 10 15 15 11 9 7 6 7 6 6 6 6 5 6 6 6 5 5 6 9 11 11 8 5 3 3 4 6 7 5 3 2 2 5 8 7 4 3 3 4 4 5 6 6 6 5 5 4 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 3 4 4 5 6 5 5 4 3 4 5 8 10 8 6 5 5 5 5 6 5 5 6 6 7 7 7 7 6 7 7 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 3 3 3 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 7 6 4 5 8 12 13 10 7 6 6 7 8 8 8 8 8 9 10 10 3 -2 1 5 6 7 7 7 7 6 7 8 10 12 13 14 13 11 9 9 7 5 4 2 5 8 7 5 4 4 4 3 3 3 3 3 3 4 6 7 7 6 4 4 4 5 6 6 5 4 4 5 7 8 9 9 7 7 7 6 6 7 7 5 5 5 6 5 5 5 6 7 6 5 5 4 3 4 5 6 7 8 8 9 9 8 7 7 8 9 10 11 10 9 10 12 13 11 8 6 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 8 11 10 7 5 5 6 9 11 9 6 4 4 3 4 5 6 6 6 6 5 5 6 9 10 7 5 5 6 6 7 6 6 3 1 3 4 4 4 5 6 8 11 16 22 24 23 20 15 9 6 5 6 8 9 8 8 7 5 4 4 5 5 5 4 3 2 2 2 2 1 1 1 1 2 3 3 5 5 7 9 8 7 7 7 7 7 7 6 5 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 8 8 13 20 24 25 20 16 14 14 16 18 12 2 -2 -2 -1 -1 -0 1 1 2 2 4 5 5 6 6 7 8 8 8 8 10 13 13 10 7 7 8 10 12 8 4 3 4 4 4 3 4 5 6 7 7 6 6 8 10 11 9 6 3 2 5 8 7 6 6 6 6 7 9 9 7 3 2 1 1 0 -2 1 3 3 3 6 9 8 6 7 12 9 5 8 12 14 16 14 7 7 11 10 13 18 18 13 10 7 6 7 7 6 6 6 6 6 6 6 5 5 5 7 10 11 9 5 3 3 2 4 5 6 5 3 3 5 10 11 8 4 4 4 4 5 5 5 6 6 6 5 5 5 5 6 6 6 6 5 5 5 4 4 5 4 4 3 3 3 3 4 6 6 5 4 3 3 3 5 8 8 7 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 4 4 4 5 6 6 6 6 5 4 4 8 14 16 12 7 5 6 7 7 7 7 7 8 8 9 9 -2 -12 -4 5 9 9 9 8 7 6 7 11 12 12 14 18 17 13 11 9 7 5 4 -0 2 8 9 6 4 3 3 3 3 3 4 3 3 3 4 5 7 7 6 5 4 5 5 6 6 5 4 3 4 6 7 8 8 7 8 8 10 11 10 8 7 7 6 6 5 5 6 6 6 6 6 5 4 4 5 6 6 6 7 8 8 8 8 7 7 8 9 10 11 11 11 12 13 11 8 7 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 9 11 9 7 6 6 9 10 10 8 7 6 7 6 6 6 6 6 6 5 5 6 8 9 7 5 5 4 3 3 4 5 4 3 3 4 5 5 6 7 8 11 17 22 23 22 18 12 6 3 3 6 9 10 8 7 6 5 4 4 4 5 5 4 3 2 3 3 2 2 1 2 2 3 3 3 5 7 9 9 6 4 3 4 6 7 7 7 6 4 3 3 3 3 3 4 4 3 4 4 3 4 4 4 4 4 4 5 6 7 11 14 15 10 9 13 19 24 25 18 11 13 22 27 23 8 -4 -3 -2 -2 -1 -0 1 1 2 3 3 5 6 7 9 12 13 13 14 12 11 12 13 11 8 6 7 9 10 9 10 8 6 4 4 6 5 5 6 6 5 4 5 7 8 9 11 10 7 6 6 6 6 6 7 7 8 8 9 9 7 3 1 -0 1 0 -3 -2 1 0 2 8 10 8 7 10 15 13 9 7 7 10 12 10 6 8 9 9 14 16 13 9 8 7 7 6 7 7 6 6 6 6 6 5 5 5 5 7 10 10 8 4 2 3 3 4 5 5 5 4 5 10 15 12 7 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 4 3 3 3 3 3 4 5 5 5 4 3 2 3 5 7 8 6 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 6 6 5 4 6 10 14 11 7 6 6 6 5 5 6 7 7 7 9 9 1 -9 -5 6 11 12 11 9 7 6 8 11 10 9 11 16 19 19 17 13 10 6 4 1 -1 3 7 7 6 4 3 3 3 3 4 3 3 4 3 4 6 7 8 7 5 4 5 5 6 5 5 4 4 4 4 5 6 8 8 10 12 13 12 10 8 8 7 7 6 6 6 6 6 6 6 6 5 4 4 4 5 5 5 6 6 6 6 5 5 6 6 7 9 10 10 10 10 10 9 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 6 10 10 9 8 8 8 9 9 8 8 9 10 9 7 7 7 7 7 6 6 7 8 8 6 4 4 3 2 2 4 5 6 6 5 5 5 6 7 9 9 10 14 18 19 16 12 7 3 0 1 4 7 10 9 8 6 5 4 4 3 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 5 7 9 7 4 2 2 2 4 4 5 6 6 5 5 4 4 3 3 4 4 4 4 3 3 4 4 4 4 3 4 6 11 16 23 27 20 7 5 11 15 23 28 24 17 17 24 23 12 -1 -8 -4 -3 -3 -2 -0 1 1 2 2 3 4 6 10 18 23 20 17 16 14 12 13 14 13 9 6 7 7 6 4 8 12 10 8 7 6 4 3 3 3 2 2 4 7 7 7 9 13 11 11 9 7 7 8 8 8 8 9 9 8 7 3 1 -0 1 -1 -2 1 4 -1 1 8 7 6 9 14 13 7 7 7 5 8 10 7 5 7 6 8 11 11 9 8 8 7 7 6 7 7 6 5 5 6 5 5 5 5 5 6 8 7 5 2 2 4 4 4 4 5 5 5 8 13 15 10 6 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 5 3 3 3 4 3 3 4 4 4 3 3 3 2 3 5 7 7 5 4 4 5 5 5 5 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 5 6 6 6 5 4 4 3 3 3 4 4 4 5 5 4 4 3 3 3 3 3 2 2 3 5 7 8 7 5 5 7 7 7 6 5 5 5 5 6 5 6 8 7 3 -3 -3 6 11 12 12 10 8 7 7 7 6 6 7 8 10 13 18 21 18 11 4 2 1 1 4 6 6 5 3 3 3 3 3 3 4 4 3 3 4 6 8 8 7 5 4 4 4 5 5 5 5 5 3 3 4 6 8 10 12 13 12 9 8 8 8 7 7 7 7 6 5 5 6 5 5 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 5 7 7 7 6 7 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 5 7 9 9 8 7 7 8 8 8 8 9 10 10 8 6 6 7 7 8 8 8 7 6 5 4 3 3 3 5 6 5 6 5 5 5 6 7 8 9 9 8 10 13 13 11 8 4 1 -1 -1 2 5 7 9 8 6 4 3 3 3 3 4 3 3 4 5 4 3 2 2 2 3 3 2 4 5 7 6 5 3 2 2 2 2 2 3 5 5 6 5 5 5 4 4 4 4 3 3 3 3 4 4 4 3 3 8 13 19 25 32 29 13 2 4 8 12 21 26 28 24 18 14 8 2 -4 -6 -4 -4 -3 -1 0 1 2 2 2 3 6 9 13 19 22 20 17 15 15 14 14 15 14 11 7 4 2 -1 -0 7 13 10 8 6 3 2 2 2 2 3 5 8 8 5 3 4 9 11 11 12 11 10 9 8 8 8 9 9 9 7 4 1 1 0 -2 0 7 9 2 4 7 5 5 10 15 8 2 8 19 20 15 10 4 4 5 6 9 10 10 8 8 7 7 7 7 7 7 6 5 5 5 4 4 5 5 4 5 7 6 3 2 3 4 4 4 5 6 6 6 9 14 12 7 4 4 4 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 3 3 3 2 2 2 2 3 5 7 8 6 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 6 5 5 4 4 4 3 2 1 1 1 3 7 13 13 5 1 4 5 6 6 5 5 6 6 5 4 5 6 5 1 -4 0 10 12 11 11 10 9 8 7 6 6 5 5 4 3 3 8 19 23 18 10 4 3 2 4 6 7 6 4 3 2 2 3 3 4 3 4 4 3 4 5 7 8 7 5 4 4 4 4 6 6 5 5 3 3 4 7 10 12 12 10 8 7 7 7 7 7 8 7 5 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 2 2 3 4 4 4 5 5 4 5 5 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 6 8 8 7 6 5 7 8 8 7 7 9 9 8 6 6 6 7 8 8 8 6 5 4 4 4 4 7 9 10 7 4 2 2 3 5 7 9 10 9 8 7 8 8 6 4 3 1 -0 -0 1 2 6 8 8 7 4 3 2 3 3 3 4 5 6 6 4 3 3 3 3 3 2 2 4 5 6 5 3 3 4 5 5 3 2 2 3 4 5 5 5 5 5 4 4 4 3 3 3 4 4 3 2 3 9 18 22 22 22 21 13 2 -1 4 6 9 17 19 19 19 9 1 -2 -2 -4 -5 -4 -3 -2 -0 1 3 3 3 3 7 13 18 18 15 13 13 13 13 13 12 13 16 17 13 7 4 2 1 3 8 11 6 1 2 3 3 3 3 6 11 13 12 9 6 3 2 5 9 9 12 13 11 8 7 7 6 8 9 9 7 5 1 0 -0 -1 2 9 9 2 2 2 1 1 3 7 5 2 10 22 26 18 9 4 7 9 9 12 12 10 8 8 8 7 7 7 7 6 6 5 5 5 3 3 4 4 4 5 7 5 1 2 4 4 4 4 5 6 6 7 10 12 10 5 4 4 4 4 5 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 4 4 3 3 3 4 4 4 3 3 2 1 1 1 3 4 6 8 8 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 7 6 6 6 5 5 4 3 2 1 1 3 7 14 16 8 2 3 5 5 6 6 6 6 6 5 5 5 5 3 -3 -5 5 16 16 15 12 10 9 8 7 7 7 6 5 5 4 4 4 9 16 19 17 11 8 6 5 7 8 7 5 4 4 3 2 2 2 2 3 4 4 4 4 5 7 8 7 5 4 4 4 5 5 6 6 5 3 3 5 7 11 12 9 8 7 6 6 6 7 7 6 4 2 2 3 4 4 4 5 6 5 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 9 11 9 6 5 4 4 4 5 5 5 5 6 7 9 9 10 11 11 8 7 6 8 9 10 9 10 11 11 9 8 8 9 8 8 8 7 7 6 5 4 4 5 6 6 5 5 5 6 5 4 6 10 11 7 0 -2 -1 1 3 4 4 4 3 3 3 5 6 6 5 5 3 3 3 4 6 5 4 2 1 2 2 1 1 2 3 5 6 6 4 4 4 5 6 6 6 5 5 6 8 10 9 7 4 3 3 3 8 10 9 10 10 10 11 11 8 7 9 11 14 14 12 10 8 7 7 7 8 7 7 10 15 20 23 21 13 7 7 9 10 8 7 6 6 8 9 11 11 12 9 3 3 6 9 10 9 9 10 10 9 9 10 10 7 8 9 7 7 6 5 4 3 4 5 7 9 11 12 13 11 9 8 7 7 7 8 8 9 10 11 12 11 7 3 1 2 2 2 3 6 7 4 4 9 13 15 14 10 8 7 7 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 5 5 5 4 4 5 6 7 10 10 5 1 2 3 2 2 5 12 14 12 10 9 10 10 9 8 8 8 8 7 6 6 7 7 6 6 5 5 4 4 5 5 6 5 4 5 5 6 7 8 9 10 11 11 11 11 10 9 8 7 8 8 8 6 6 5 6 6 7 8 8 7 7 6 5 5 4 5 5 4 4 4 5 5 6 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 6 6 8 8 8 18 21 15 11 9 8 8 8 8 8 7 7 7 6 6 7 8 5 1 1 3 4 4 4 5 5 6 6 5 5 6 5 6 7 7 7 7 7 8 9 10 12 16 19 22 22 19 16 12 10 8 8 7 5 5 4 3 4 5 6 7 7 7 7 7 6 5 4 4 4 4 4 5 6 6 7 8 9 9 9 7 6 5 5 6 7 6 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 5 4 4 5 6 7 8 8 7 7 9 8 6 5 5 5 5 6 6 6 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 9 9 7 6 4 4 4 4 5 6 6 7 7 7 7 10 12 12 10 7 6 9 14 15 11 7 7 7 7 7 8 9 9 9 9 9 8 7 6 5 5 5 5 6 6 5 5 5 3 2 4 7 10 8 5 2 2 3 3 3 3 3 3 3 4 5 7 8 8 6 5 3 3 5 6 6 4 2 1 1 2 3 4 4 4 4 4 4 3 4 4 6 6 4 3 2 3 8 11 9 5 4 3 3 4 5 8 10 9 9 10 12 15 14 10 8 12 22 26 21 13 10 7 6 7 7 8 8 7 9 15 18 19 17 12 8 6 6 7 7 6 6 6 6 7 8 11 14 12 5 3 5 9 11 10 9 9 9 9 9 11 11 9 8 8 7 6 5 3 2 3 5 6 7 9 10 12 13 12 10 8 7 7 7 8 9 9 9 12 12 10 6 2 2 4 3 1 1 5 6 4 6 12 16 16 13 9 6 5 5 5 5 5 5 6 5 5 6 6 6 7 7 8 7 7 6 6 6 6 5 5 4 4 5 7 8 8 6 4 3 3 3 3 3 8 14 13 10 9 8 8 7 7 7 7 8 8 7 7 8 8 8 7 6 5 5 5 5 5 5 5 5 4 5 5 6 8 10 11 12 13 13 13 12 11 10 9 9 9 8 7 6 6 6 7 7 8 8 7 7 6 6 5 5 5 5 4 4 5 5 5 6 6 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 5 6 5 5 5 5 5 4 4 4 5 4 4 4 5 5 6 6 8 15 20 16 11 9 8 8 9 8 8 8 9 8 7 7 6 4 -0 -3 0 5 5 3 4 4 5 5 5 5 5 5 5 5 6 7 7 7 6 7 7 8 8 10 13 16 19 21 21 20 16 14 13 12 10 8 7 8 10 12 13 12 10 9 9 8 8 7 6 5 5 5 4 5 5 6 6 7 9 9 9 8 7 5 5 6 7 7 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 5 4 4 4 5 6 7 7 7 8 9 8 6 4 4 4 5 5 5 5 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 7 7 5 4 4 4 5 5 6 6 6 6 6 6 9 11 11 7 4 4 8 15 18 13 7 5 4 6 7 8 9 9 9 9 8 8 7 7 7 6 6 5 5 6 6 6 6 4 2 3 6 9 10 8 6 4 3 2 1 2 3 4 4 4 5 7 9 10 9 7 5 4 5 7 7 5 3 1 2 5 7 6 5 4 3 2 1 2 3 5 6 6 4 3 2 2 7 5 1 2 3 4 4 4 4 7 10 10 9 13 18 20 18 11 4 8 17 18 13 7 5 5 6 7 8 8 7 5 4 7 10 11 11 9 7 7 8 8 8 7 7 6 6 6 6 9 13 12 8 6 4 7 8 8 8 7 8 9 10 11 13 12 10 9 8 6 3 1 1 4 6 6 7 8 9 11 13 12 11 10 8 7 7 8 9 8 9 11 10 8 5 1 4 8 5 2 2 2 1 -0 3 8 11 11 8 6 5 5 5 6 6 6 6 6 5 6 6 6 6 7 7 8 7 7 7 6 6 6 5 5 4 4 5 6 8 7 5 5 5 5 6 6 6 10 12 9 7 7 6 5 5 6 7 9 9 9 9 9 9 9 8 7 6 6 6 5 6 6 6 6 5 5 6 7 8 10 12 13 14 14 14 14 13 12 11 10 10 9 8 7 6 6 7 6 7 7 7 7 6 6 5 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 8 16 20 16 11 9 8 9 9 8 8 9 9 9 9 8 5 -3 -8 -6 1 6 6 5 5 4 4 4 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 7 8 10 12 16 19 21 22 21 19 18 18 17 16 16 18 19 20 18 15 15 15 13 10 9 7 7 7 6 5 5 5 5 7 7 8 8 8 8 8 6 5 6 7 7 5 5 6 7 7 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 6 6 6 6 7 7 7 5 4 4 4 4 4 5 5 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 6 6 5 4 4 4 5 5 6 5 5 5 6 7 8 10 9 3 -1 1 6 13 17 14 8 5 4 5 6 7 7 7 7 8 7 7 7 8 8 9 8 7 6 6 6 7 7 6 4 4 6 8 11 10 7 5 3 1 1 1 3 5 5 5 6 7 8 10 10 9 8 7 5 6 7 6 4 3 5 8 9 6 4 3 2 1 1 1 2 4 6 7 6 5 5 5 5 2 0 3 4 3 3 3 5 6 9 11 11 18 26 27 22 16 15 19 19 10 5 2 3 4 5 7 8 8 7 4 3 4 6 9 9 8 7 7 8 10 11 9 8 7 6 5 4 7 10 10 8 5 3 4 7 8 7 6 7 9 10 11 12 12 12 10 9 6 3 1 2 5 7 7 7 8 10 11 12 12 11 10 8 8 7 8 9 8 8 9 8 8 4 -1 5 10 6 3 2 1 -2 -2 2 7 9 8 7 6 5 6 7 7 6 5 6 5 6 6 6 6 6 7 7 7 7 6 6 7 6 6 6 4 3 3 5 6 7 6 6 6 6 7 8 8 8 9 8 5 4 5 5 4 5 7 9 10 10 9 9 9 9 8 8 7 6 6 6 6 6 7 7 7 6 7 7 9 10 11 13 14 14 15 14 14 13 12 11 10 9 8 7 7 6 6 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 7 13 17 13 8 8 9 10 9 8 8 9 9 9 9 9 3 -8 -14 -8 2 7 8 7 6 5 4 4 4 4 5 5 6 5 5 6 6 6 7 6 5 4 4 4 5 6 8 9 12 14 17 19 19 18 18 18 18 18 19 20 20 18 16 16 17 16 13 10 8 7 7 7 7 7 5 5 6 6 7 8 8 9 8 7 5 7 8 7 6 5 7 8 8 6 4 4 4 5 4 5 5 5 5 5 4 4 4 4 5 6 6 5 6 6 5 4 4 4 4 4 4 5 6 6 7 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 4 4 5 4 4 4 5 5 5 4 5 5 6 7 9 10 8 3 -1 -1 3 10 14 13 9 7 5 5 6 6 5 6 7 8 8 7 6 8 9 10 11 10 8 7 7 7 8 7 6 5 6 7 10 10 7 5 3 1 1 2 3 4 5 6 6 7 7 8 8 9 10 10 8 6 6 6 6 6 9 10 8 5 3 2 2 2 2 2 3 5 8 9 9 8 8 8 7 7 6 4 4 3 2 3 4 6 9 11 14 20 28 30 31 34 35 32 19 6 1 1 2 2 4 6 8 8 6 6 6 7 9 11 11 9 8 7 7 10 11 8 7 7 6 6 5 5 6 7 7 4 3 5 8 8 7 7 7 7 8 10 10 10 10 9 8 6 4 3 5 8 8 7 6 7 10 10 11 10 10 9 9 8 7 8 9 8 8 8 7 8 3 -2 4 10 6 1 1 3 2 5 9 12 11 8 7 6 6 8 8 7 6 5 5 6 7 6 6 6 6 6 7 7 7 6 6 6 6 6 5 4 3 4 5 5 6 6 6 6 7 8 9 8 7 7 6 3 2 4 5 6 7 8 9 9 8 7 7 7 7 6 7 6 6 7 7 7 8 8 8 8 8 8 9 10 11 12 13 13 13 13 13 13 12 11 10 9 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 8 8 8 7 7 8 7 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 8 12 10 7 8 8 9 8 6 7 8 9 9 9 8 4 -4 -15 -11 3 8 8 8 8 7 6 5 4 4 4 5 6 6 5 5 6 6 7 7 6 5 4 4 3 4 6 6 8 8 9 10 11 11 10 11 12 13 14 16 17 16 15 14 14 13 12 11 9 6 6 7 9 9 7 6 5 6 6 7 8 8 8 7 7 8 8 8 6 6 8 11 10 7 5 5 5 5 5 5 5 5 5 5 5 4 3 4 5 6 6 6 5 5 5 5 4 4 4 4 4 5 6 6 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 9 11 10 9 9 10 11 11 11 11 11 11 12 12 13 12 11 10 12 14 11 8 7 9 13 17 14 11 11 13 14 14 15 14 14 13 12 11 10 9 11 12 12 12 11 11 11 10 9 8 9 9 9 11 14 13 13 14 13 12 12 14 16 14 8 8 12 16 18 17 15 11 11 13 15 15 14 13 15 17 17 15 13 11 11 11 11 11 11 11 12 12 13 12 13 13 13 13 13 13 13 12 12 12 12 11 12 11 11 11 12 14 14 14 14 14 13 13 14 14 15 14 13 11 10 9 10 11 12 13 15 17 17 16 13 10 9 9 10 13 17 20 22 21 18 17 18 19 18 18 17 18 18 17 16 15 15 16 17 18 20 21 22 21 20 20 19 17 16 16 16 16 17 17 17 17 15 14 13 12 11 11 11 11 12 13 13 13 13 13 13 12 12 12 13 15 16 17 19 18 17 16 15 15 14 14 13 14 15 15 16 16 18 19 19 19 18 18 16 16 16 16 16 17 17 17 16 16 16 16 15 15 15 16 18 17 16 15 15 14 14 14 12 11 12 13 13 14 16 18 18 17 15 13 12 12 13 12 12 13 12 12 12 13 13 14 14 13 13 11 11 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 11 11 11 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 13 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 15 17 17 14 14 17 16 14 13 10 8 8 10 13 15 15 15 16 17 17 17 17 17 19 22 24 25 25 21 19 17 16 16 15 13 13 12 11 11 11 10 9 9 11 12 14 14 12 12 12 12 12 11 11 11 11 12 12 11 12 12 11 12 11 11 10 9 10 11 11 11 12 11 10 11 11 10 10 12 12 12 12 13 14 15 14 12 9 9 12 12 12 11 10 10 11 11 11 10 11 12 12 12 12 12 13 14 14 14 14 14 13 13 14 13 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 12 13 13 13 14 14 14 12 12 12 10 8 7 9 11 13 11 8 6 8 11 12 12 13 13 13 12 11 9 9 10 11 12 12 11 11 12 10 8 8 9 12 14 12 14 16 15 14 13 12 11 12 12 11 7 7 11 17 19 18 16 14 12 11 12 13 14 14 13 13 14 14 13 12 12 11 11 12 12 11 12 12 13 13 13 13 13 13 13 13 12 13 12 12 11 11 11 11 11 11 11 13 14 14 14 14 13 12 13 14 15 15 16 14 11 9 9 10 11 13 14 14 15 17 18 16 10 5 7 14 18 20 20 18 14 13 14 15 16 17 17 18 19 20 18 16 17 17 17 18 20 23 24 24 23 21 19 17 16 15 15 14 14 15 17 18 17 16 15 14 13 12 11 11 12 12 12 13 15 17 19 18 15 14 14 15 17 18 18 18 17 15 15 14 14 14 14 14 14 14 15 16 16 17 18 18 18 18 18 17 17 17 18 17 17 17 16 16 16 16 16 17 16 16 16 16 15 13 13 16 16 14 13 12 13 14 14 15 17 21 22 19 14 12 12 12 13 13 13 13 13 13 13 13 14 14 14 13 12 12 11 12 12 12 12 12 11 11 11 12 13 12 12 13 13 13 12 12 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 9 9 10 11 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 13 12 12 12 12 13 12 12 12 12 12 13 12 12 12 13 15 16 14 11 13 20 20 14 10 7 5 4 9 13 15 15 15 16 17 17 17 17 17 19 20 23 25 25 23 21 18 16 14 13 13 11 11 11 10 10 10 10 9 10 12 14 14 13 12 11 11 11 11 11 11 11 12 12 12 11 11 10 10 11 10 9 10 10 11 11 12 11 11 11 11 12 11 11 11 11 12 12 13 15 16 15 11 8 8 11 13 12 11 10 10 11 11 10 9 11 13 13 13 13 13 13 14 13 14 14 14 14 14 14 14 14 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 12 11 9 8 8 8 10 12 13 12 9 6 8 10 11 12 13 13 13 11 9 10 11 11 12 12 12 11 12 11 8 8 8 11 15 17 15 15 15 15 14 12 12 12 11 9 8 8 12 16 17 17 15 13 10 9 9 12 14 14 12 12 13 13 13 13 12 12 12 12 12 11 11 12 13 13 13 14 13 13 13 14 13 13 13 12 11 11 11 11 11 11 12 12 13 14 14 13 13 12 11 13 14 16 17 16 13 11 9 8 10 11 13 15 16 18 18 18 15 10 5 9 17 22 22 20 16 13 11 12 13 14 16 17 18 18 18 18 18 19 19 18 18 19 20 21 20 19 17 17 15 14 13 13 12 12 14 16 17 18 18 17 16 14 12 12 11 12 13 13 14 14 15 18 18 16 15 15 16 18 20 19 17 15 14 14 14 15 14 14 14 14 14 15 15 16 17 18 18 18 18 18 18 18 18 19 19 18 18 16 15 15 16 16 18 18 17 16 14 12 12 16 20 18 12 13 14 14 14 14 15 15 17 16 11 8 10 12 14 14 13 14 14 14 14 14 15 15 14 13 13 13 12 12 13 13 12 12 12 12 12 12 12 12 13 12 13 14 14 13 12 12 12 12 12 11 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 11 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 12 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 13 12 12 12 12 12 12 12 13 13 13 14 13 13 13 13 13 16 14 10 7 6 8 10 13 14 15 15 15 15 17 17 17 17 18 19 19 21 23 24 25 21 16 15 13 13 12 11 10 10 10 11 11 11 12 13 13 13 13 14 13 12 12 12 11 11 11 11 11 11 12 12 11 11 11 10 9 9 10 10 11 12 12 11 10 10 10 11 12 12 11 11 12 13 14 17 17 14 11 9 9 11 12 12 11 12 10 9 9 9 11 12 12 12 12 14 14 14 13 14 14 13 14 13 14 15 15 15 15 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 10 12 15 12 9 12 13 14 13 12 12 11 10 10 11 12 12 13 13 12 12 12 10 9 8 9 12 15 15 14 13 14 14 13 13 13 11 11 10 10 12 13 15 15 14 12 11 9 9 9 11 13 12 11 13 15 13 12 12 12 12 12 11 11 11 12 13 13 14 14 14 13 13 13 14 14 15 15 13 11 9 9 10 11 11 12 13 13 12 12 12 12 12 12 12 15 17 17 16 13 10 9 10 11 12 13 15 17 19 18 16 14 12 11 13 17 19 19 17 16 14 12 12 12 13 15 16 16 17 18 18 19 19 19 19 18 17 16 15 15 15 14 14 13 12 12 13 12 11 13 14 16 19 21 21 18 15 13 13 12 13 14 14 13 11 10 10 13 14 15 15 17 19 20 18 16 14 14 14 14 14 14 14 13 14 14 15 16 17 18 19 19 19 18 19 19 19 19 20 20 19 18 17 16 16 16 17 18 19 18 15 13 13 15 17 19 15 11 13 15 14 14 14 14 11 12 11 11 12 12 13 14 13 12 13 13 14 15 15 15 15 13 12 13 13 13 13 13 12 12 13 13 13 13 13 12 12 12 13 13 13 13 12 12 12 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 11 11 11 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 12 13 13 12 12 12 12 13 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 13 13 12 12 13 13 13 13 12 12 12 12 12 13 13 13 14 14 15 15 14 14 14 13 11 9 10 12 14 15 16 15 14 15 16 16 16 17 17 17 18 18 19 20 22 25 25 19 17 14 13 13 13 11 10 10 10 11 12 13 13 13 13 14 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 10 9 9 10 11 11 11 12 11 11 10 10 10 11 12 12 12 12 13 14 15 18 16 11 10 10 10 11 12 11 11 10 9 9 9 11 12 12 13 13 13 13 13 14 15 15 14 13 14 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 14 14 13 11 11 11 11 11 12 12 12 12 12 12 11 10 8 8 10 13 14 14 13 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 10 9 9 9 8 8 9 12 16 16 12 11 11 12 12 12 12 12 11 12 13 13 13 13 13 13 13 13 14 15 15 15 12 9 7 8 11 11 12 13 13 12 12 11 11 11 12 12 12 14 16 17 17 15 12 9 10 12 13 14 15 17 18 17 15 14 12 12 12 12 14 16 17 16 15 14 12 12 12 14 15 15 17 19 20 19 19 19 18 17 16 15 15 15 14 14 14 13 13 13 13 12 12 13 14 16 19 22 22 20 16 14 13 14 15 17 17 15 13 12 10 12 15 16 17 19 20 19 18 16 14 14 13 13 13 13 14 15 15 16 16 17 18 19 19 20 20 20 21 22 22 22 21 20 19 18 18 17 17 17 18 18 18 17 15 14 14 15 16 17 15 14 15 15 15 14 15 13 11 12 12 13 12 12 11 11 12 12 13 14 15 15 16 15 14 13 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 10 9 10 10 11 12 12 12 12 13 13 13 12 12 12 12 13 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 12 12 13 12 12 12 13 14 14 14 16 17 15 12 11 11 12 12 11 13 15 15 15 14 14 15 15 16 16 17 17 17 17 18 18 19 20 23 26 25 21 18 14 13 13 12 12 11 11 11 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 10 11 11 11 11 11 11 10 11 12 12 12 12 12 13 14 15 16 16 14 12 10 10 10 12 13 11 10 8 8 10 11 11 12 14 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 11 12 12 11 11 10 9 9 11 13 14 13 12 12 11 11 11 12 11 11 11 10 10 9 10 10 10 11 11 11 10 10 7 3 4 9 15 20 16 11 12 12 12 11 12 13 11 12 12 13 13 12 12 12 12 13 13 14 16 15 15 13 10 8 8 11 12 13 12 12 11 11 11 11 11 11 11 12 13 14 16 17 17 13 9 9 11 13 14 15 17 18 17 15 13 12 11 12 12 14 16 16 15 14 14 14 13 14 15 15 16 18 19 19 19 18 18 18 17 16 16 15 14 14 14 14 14 14 14 13 13 13 14 15 17 20 22 22 20 17 15 15 16 17 18 18 16 15 16 16 17 19 19 20 20 21 19 17 15 14 13 12 13 13 13 14 16 17 17 18 18 19 19 19 20 20 22 25 28 26 23 22 20 19 17 16 16 18 18 19 19 17 15 13 13 14 15 17 18 16 15 14 13 13 12 12 11 10 10 10 10 10 9 9 10 11 12 13 15 15 15 15 14 12 12 12 12 13 12 13 13 13 14 13 13 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 12 13 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 13 12 12 13 13 12 12 13 13 14 14 15 16 13 9 8 10 12 12 12 13 14 14 15 14 14 15 16 16 16 17 17 17 17 18 19 18 20 24 27 26 24 18 14 13 12 12 12 11 11 11 12 12 12 12 13 14 13 13 13 12 12 11 11 11 10 11 11 11 12 11 11 12 12 11 11 10 10 10 10 11 11 10 10 11 11 11 11 12 12 12 12 11 12 13 14 15 15 14 12 11 11 11 11 11 11 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 0 0 0 0 0 0 2 1 1 0 0 0 2 3 4 5 5 5 5 5 6 7 6 6 5 4 4 3 3 3 3 4 4 4 4 4 5 6 6 6 6 5 4 3 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 2 1 1 1 0 0 0 1 1 1 2 0 1 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 3 3 3 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 4 13 22 18 3 0 0 0 0 9 18 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 23 35 40 55 62 48 33 27 19 11 9 7 2 0 0 0 0 0 0 0 0 1 10 30 16 17 19 16 9 8 9 16 20 27 43 58 64 68 74 74 66 54 40 36 38 46 77 117 128 115 107 109 99 80 69 71 92 109 116 119 126 136 133 114 86 61 45 41 46 48 46 40 35 34 40 52 66 83 108 131 138 126 107 98 99 100 102 108 113 115 112 108 105 105 108 112 116 117 112 107 102 97 96 97 101 106 110 112 113 112 111 110 109 110 113 115 113 110 103 95 91 100 123 144 152 146 132 123 122 94 90 103 120 122 122 134 135 132 137 133 128 121 113 100 95 100 116 129 133 126 110 86 56 31 26 31 27 15 17 17 7 1 0 0 9 61 116 129 122 104 90 98 108 98 80 78 80 85 96 109 115 112 121 134 122 130 161 167 158 155 149 140 131 133 141 nan nan nan nan nan nan nan nan nan nan nan nan 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 3 2 0 0 0 0 1 1 2 4 5 5 5 6 8 8 7 6 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 2 2 3 3 2 2 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 3 3 3 3 3 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 5 14 22 16 3 0 0 0 0 8 18 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 16 22 30 39 32 23 20 13 9 8 5 0 0 0 0 0 0 0 0 0 0 2 15 8 6 5 1 0 2 6 14 21 31 45 59 63 66 71 72 66 54 41 37 42 54 64 80 107 116 106 108 111 98 78 69 80 94 101 107 119 135 133 119 96 69 46 36 36 39 40 37 33 32 35 42 53 67 85 110 131 135 126 114 109 109 110 113 116 116 114 109 105 104 104 105 107 110 112 109 104 95 88 84 83 85 87 89 92 96 98 101 101 102 103 102 99 94 88 80 72 68 77 102 132 145 144 141 146 119 152 157 170 153 146 158 156 148 153 141 136 140 143 133 131 130 129 129 138 138 130 108 75 56 57 61 44 18 9 4 0 0 0 0 14 71 128 137 128 110 93 99 119 112 89 82 84 89 99 112 111 100 134 159 138 136 152 158 158 156 152 142 132 130 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 1 3 4 4 5 7 8 8 6 5 5 4 3 3 3 4 4 3 3 3 2 2 2 3 3 3 3 2 1 1 2 2 3 3 2 3 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 2 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 11 6 1 0 0 0 0 4 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 13 15 14 13 11 9 8 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 23 33 44 44 52 56 62 60 50 39 35 41 64 68 55 65 86 93 97 112 116 94 73 73 86 92 98 111 130 134 130 114 88 58 38 31 31 33 33 31 28 27 30 36 44 54 71 94 114 126 131 132 128 124 119 114 110 106 103 100 97 96 96 97 98 101 102 100 95 88 82 76 72 68 68 71 76 84 92 97 98 98 93 89 83 76 70 65 63 62 70 88 109 124 129 126 122 148 141 172 161 152 153 155 154 143 135 132 138 150 152 155 155 144 138 142 135 120 102 84 77 80 74 45 12 0 0 0 0 0 2 26 93 141 142 122 94 76 80 109 110 90 82 90 98 108 111 95 77 120 165 172 170 172 169 165 161 156 145 132 125 130 136 nan nan nan nan nan nan nan nan nan nan 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 1 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 1 2 3 3 4 6 8 7 5 5 4 4 3 4 4 4 3 2 1 1 1 1 2 3 3 2 1 0 1 1 2 2 2 2 2 2 3 3 2 1 1 1 2 2 2 2 2 2 2 3 2 1 0 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 1 2 2 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 10 4 2 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 7 8 8 9 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 17 24 23 31 34 43 42 33 29 29 34 60 80 56 34 38 60 75 99 121 113 88 75 82 90 97 108 122 132 136 130 112 81 51 32 26 26 29 29 25 21 20 22 25 30 38 52 70 90 111 129 138 139 129 116 106 99 94 91 90 88 88 90 89 88 85 86 84 83 82 77 70 63 59 57 59 66 77 87 91 93 92 87 81 73 66 64 66 70 72 77 86 104 118 117 115 125 138 144 145 138 134 140 148 140 130 128 130 137 145 152 152 139 135 132 121 109 97 84 82 80 68 40 8 1 2 0 1 1 2 42 110 140 140 114 77 47 46 73 85 89 92 95 97 104 102 85 77 109 158 184 186 187 188 183 176 169 158 139 127 131 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 3 1 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 1 2 5 6 5 4 3 2 2 2 3 3 2 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 2 2 2 2 2 1 0 0 0 1 1 2 1 1 2 2 3 2 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 11 5 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 8 9 9 10 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 14 18 22 28 30 22 17 20 24 38 61 66 38 12 25 47 75 108 124 113 92 83 87 94 104 115 126 134 134 125 105 75 47 30 25 27 27 24 19 15 13 12 14 17 23 32 45 62 81 103 122 129 124 112 100 91 85 82 82 83 88 89 86 78 74 68 70 73 72 68 62 59 53 50 51 59 69 76 80 85 86 83 78 71 69 72 76 81 83 86 97 116 123 121 118 118 128 133 127 118 118 124 125 118 117 117 117 119 124 134 125 121 111 104 101 91 78 74 66 59 43 23 16 17 14 14 20 41 77 107 127 128 102 56 19 13 24 48 75 95 100 95 93 91 84 83 109 155 182 183 181 183 185 185 184 180 163 146 144 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 6 3 0 0 0 0 0 0 0 1 1 2 1 1 1 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 6 1 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 9 9 10 10 10 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 16 20 23 17 9 16 19 17 30 59 60 27 12 25 52 89 122 132 121 102 91 91 96 105 118 129 133 130 121 103 76 50 34 30 29 27 22 17 11 5 4 5 6 10 16 24 35 48 66 89 108 109 103 94 84 76 71 72 80 84 82 79 68 60 58 59 60 59 58 58 52 44 38 42 53 61 64 70 78 84 85 84 83 84 87 89 89 88 94 108 123 128 122 115 119 126 122 112 98 94 100 98 99 103 103 102 99 102 107 109 104 102 102 95 81 68 58 55 52 54 61 59 54 49 53 64 78 96 112 112 86 40 6 1 6 24 56 87 103 100 94 91 90 98 122 161 183 181 173 169 171 179 186 190 184 168 163 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 12 11 9 5 1 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 7 2 0 0 0 0 0 1 2 6 8 8 4 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 9 9 9 9 9 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 14 16 15 16 22 23 21 25 50 71 50 17 15 36 67 105 133 142 136 118 102 96 96 106 122 132 134 130 123 106 80 55 41 36 34 31 26 14 2 0 0 1 1 3 5 9 15 22 33 48 70 85 90 85 74 62 56 63 73 72 63 57 52 47 44 43 45 49 48 42 34 25 25 37 51 58 60 66 77 87 94 95 96 102 103 96 89 87 94 111 123 129 131 134 136 130 122 111 88 87 91 82 85 92 90 82 78 93 104 107 106 102 101 91 75 65 63 66 76 90 91 82 74 69 68 76 91 107 106 82 42 10 3 4 13 32 61 89 103 101 99 99 102 126 168 183 175 163 157 162 171 181 186 183 177 174 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 14 14 12 7 2 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 12 10 3 0 0 0 0 1 2 5 8 13 19 22 15 6 6 5 3 1 0 0 0 0 0 0 0 1 0 0 0 0 0 3 6 7 8 8 8 8 7 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 10 11 11 16 25 30 30 36 56 76 64 33 20 29 49 80 114 139 152 149 132 112 98 97 109 125 135 135 133 125 106 81 60 50 46 44 42 30 12 3 0 0 0 0 0 1 1 3 5 8 20 40 61 76 76 66 54 57 61 59 51 44 39 32 26 22 20 21 25 24 18 10 10 20 39 56 62 64 69 77 79 77 83 94 96 94 86 80 80 89 103 121 135 139 133 127 125 129 106 84 79 70 69 75 74 74 82 95 103 103 97 91 90 90 81 76 76 82 92 102 98 86 78 73 68 67 80 104 112 92 58 25 14 10 10 14 29 60 88 96 98 90 84 104 147 166 160 143 136 144 162 178 185 182 180 180 176 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 17 17 15 10 4 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 16 12 3 0 0 0 1 3 6 10 12 18 28 33 25 13 8 8 6 3 1 0 0 0 0 0 1 1 1 0 0 0 0 3 5 6 7 8 7 6 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 1 1 0 1 6 10 10 12 14 14 23 34 47 61 73 80 63 38 29 30 40 58 85 115 137 149 149 139 123 106 101 113 130 138 139 136 126 107 86 69 59 60 62 53 36 16 1 0 0 0 0 0 0 0 0 0 1 8 22 44 63 68 59 48 46 46 42 37 31 22 14 8 5 3 5 7 4 1 1 7 21 42 59 66 70 67 55 57 72 86 87 82 80 77 72 71 74 80 105 124 114 107 110 118 116 98 77 64 62 65 69 76 89 101 105 101 92 84 78 74 74 80 88 94 97 98 84 76 76 76 72 64 71 102 122 106 79 45 32 24 19 16 23 44 70 87 91 77 63 71 103 132 137 123 112 122 151 178 187 185 183 184 182 176 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 24 21 18 14 8 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 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 19 14 3 0 0 0 3 6 9 13 16 24 33 33 25 15 9 8 6 4 1 0 0 0 0 0 1 1 1 0 0 0 0 2 4 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 16 17 14 13 9 5 8 12 14 14 13 13 19 29 43 59 73 75 62 43 34 33 36 48 65 84 105 113 122 130 135 130 117 111 121 135 140 140 138 130 114 96 79 70 73 73 61 38 13 1 0 0 0 0 0 0 0 0 0 0 2 12 31 50 55 48 40 36 34 30 24 17 9 4 1 0 1 2 2 1 0 1 7 21 40 59 71 59 43 50 62 81 80 76 75 74 69 69 66 61 69 93 98 94 94 99 105 98 82 71 67 66 69 75 85 95 100 101 98 88 77 70 72 85 102 110 108 92 66 65 77 83 83 79 86 110 125 117 96 70 51 42 38 34 36 50 73 91 97 85 65 60 80 104 116 110 101 116 154 187 192 182 176 179 184 183 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 22 24 23 21 18 14 8 4 2 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 11 2 0 0 2 7 10 10 13 19 27 32 27 18 11 8 7 6 4 1 0 0 0 0 0 0 1 1 0 0 0 0 1 4 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 22 27 32 34 32 26 22 24 24 23 21 19 19 20 20 29 45 53 48 38 36 34 33 42 56 66 78 76 74 84 101 118 127 123 124 132 139 138 130 133 133 123 106 89 80 81 79 65 39 14 3 0 0 0 0 0 0 0 0 0 0 1 7 17 28 34 33 27 21 17 13 9 5 3 2 3 5 7 7 4 0 0 1 10 22 42 54 43 39 46 50 58 64 67 70 70 68 71 72 67 64 71 79 83 89 95 98 96 94 89 85 82 80 82 88 96 101 105 106 98 84 77 82 98 115 123 119 100 70 69 88 97 103 106 112 118 120 119 110 90 68 57 56 55 54 64 86 103 110 105 92 86 96 108 115 117 115 133 174 199 202 180 170 175 183 188 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 nan nan nan nan 8 14 17 19 19 18 14 9 5 2 0 1 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 17 7 0 0 3 8 13 13 12 15 20 24 24 19 11 8 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 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 4 9 14 22 30 40 48 49 46 41 35 29 23 17 12 7 8 15 24 32 32 30 25 23 29 44 54 60 59 54 51 59 71 94 112 122 131 140 137 118 111 118 126 128 117 98 87 86 86 73 47 22 7 1 0 0 0 0 0 0 0 0 0 0 2 5 6 10 11 7 4 3 2 2 2 4 8 12 16 15 11 7 4 0 0 10 34 40 34 37 44 48 48 49 56 62 64 67 73 78 82 84 83 80 85 99 113 119 118 117 115 112 109 107 107 109 113 115 117 119 112 97 90 97 114 124 123 109 92 78 85 102 111 117 118 114 107 102 107 113 104 84 72 73 76 78 82 95 111 121 122 116 115 123 134 139 143 148 166 193 204 205 188 178 180 183 186 nan nan nan nan nan nan nan 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 3 7 10 12 13 13 12 11 9 5 3 3 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 9 12 4 0 1 7 14 18 17 14 18 22 21 17 12 8 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 20 38 54 59 55 43 28 16 13 7 2 1 4 10 15 16 14 10 7 11 23 37 45 46 46 45 46 48 53 75 92 106 129 140 119 92 89 101 117 126 119 102 90 89 92 83 56 31 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 26 32 33 28 25 19 21 28 35 32 31 37 47 52 48 44 46 52 56 61 70 80 97 115 115 103 101 110 124 136 137 137 130 130 130 133 134 136 139 141 142 141 132 115 108 111 121 122 112 90 78 83 98 112 119 118 110 98 86 77 82 96 105 100 92 89 96 107 111 108 117 127 127 121 126 137 151 160 168 174 183 194 199 195 186 182 184 182 179 181 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 1 2 3 4 6 8 12 17 15 10 7 5 4 3 2 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 13 7 10 8 2 0 2 9 16 18 18 16 16 17 16 12 8 7 7 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 19 36 52 58 50 32 16 9 5 1 1 0 2 3 3 0 0 0 1 5 15 28 28 34 34 38 40 43 50 60 68 89 120 121 86 67 74 92 109 116 112 101 90 90 93 81 62 40 16 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 29 46 52 52 55 50 41 39 37 33 30 35 42 52 60 57 50 47 48 48 49 57 71 86 99 112 116 116 116 119 128 141 140 135 134 136 141 147 154 158 163 167 164 153 138 128 125 125 121 113 100 92 100 111 120 125 120 105 91 82 74 68 71 80 97 105 105 112 128 130 124 124 127 122 116 123 135 146 159 176 184 182 182 181 175 171 174 180 178 175 183 nan nan nan nan nan 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 1 2 5 10 16 17 14 10 6 4 5 5 3 2 1 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 20 14 4 0 1 5 12 16 17 16 15 14 12 10 8 6 7 7 7 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 22 36 52 56 50 35 21 14 8 5 2 2 0 0 0 0 0 0 0 2 9 12 14 11 24 30 34 38 44 49 54 78 100 86 62 58 72 87 97 103 100 91 82 82 81 70 49 26 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 25 44 53 44 39 41 37 36 32 25 25 30 39 45 55 69 73 64 55 52 46 41 42 49 60 71 83 101 117 123 121 116 120 130 135 136 138 142 148 158 164 171 178 178 169 160 153 146 140 134 133 134 134 131 130 132 135 130 117 104 100 98 90 78 66 79 101 113 119 125 128 131 132 128 121 113 114 124 138 155 172 180 175 168 163 158 156 162 170 166 168 188 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 nan nan 1 4 4 2 1 0 0 0 0 0 0 5 13 18 17 13 8 9 11 10 8 4 1 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 20 6 1 0 2 9 15 16 15 14 14 13 10 8 7 7 7 7 6 5 2 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 2 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 2 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 28 39 50 64 69 55 30 17 11 9 7 1 0 0 0 0 0 0 0 1 3 2 0 8 17 22 26 32 37 37 44 66 84 77 61 58 67 76 82 82 75 66 63 64 60 42 22 14 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 22 21 16 13 16 19 22 26 28 28 28 31 37 43 53 70 84 81 72 71 60 49 40 34 35 51 64 79 101 117 121 119 116 120 129 134 138 141 144 149 156 164 173 176 174 173 172 166 157 152 154 158 161 152 141 139 140 136 128 118 117 122 125 112 89 82 98 113 120 120 119 130 137 132 126 120 117 122 137 156 173 179 169 157 151 152 154 158 161 155 159 178 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 1 2 4 2 0 0 0 0 0 0 1 6 14 19 18 16 14 14 14 13 11 5 1 0 0 0 1 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 11 2 0 0 3 12 17 17 15 14 14 13 10 8 7 7 7 7 6 4 1 0 0 0 0 0 0 0 0 1 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 4 5 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 4 9 17 24 32 41 51 62 68 51 31 18 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 3 9 12 16 23 25 25 36 65 84 74 58 52 56 61 59 49 37 34 36 40 33 20 14 11 10 10 10 5 0 0 0 0 0 0 1 0 0 0 0 0 1 2 1 0 1 1 2 4 6 8 12 19 22 23 19 24 30 40 54 74 90 95 98 91 78 60 41 27 30 44 58 78 98 105 110 118 124 128 132 133 135 139 142 145 151 160 167 172 174 174 171 162 155 154 157 155 145 133 134 135 133 126 119 119 129 139 137 121 110 113 122 127 128 129 134 137 131 126 127 128 130 142 160 172 176 162 150 148 154 160 163 162 156 155 163 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 3 3 2 0 0 0 0 0 0 1 8 16 21 21 20 19 19 20 21 16 9 3 2 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 7 1 0 0 1 11 16 15 14 15 15 14 11 9 8 7 7 7 5 2 0 0 0 0 0 0 0 0 0 1 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 4 4 4 6 6 4 1 0 0 0 0 0 0 0 0 0 0 1 2 6 10 18 21 23 26 32 41 53 63 48 32 27 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 8 12 14 20 37 56 64 59 46 42 42 40 31 15 9 10 14 18 20 16 5 13 20 21 16 10 6 4 3 3 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 6 8 5 3 7 13 18 29 46 69 88 100 107 103 91 72 46 29 26 30 46 72 84 90 105 122 130 132 129 125 129 133 135 141 151 160 167 169 174 173 163 152 147 143 134 124 119 125 130 127 118 110 111 122 136 143 139 132 133 139 144 146 146 139 133 125 125 134 139 143 155 168 171 164 156 150 151 159 168 172 172 167 160 156 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 1 2 2 0 0 0 0 0 0 0 2 6 13 20 23 23 23 24 28 28 22 14 7 4 3 2 0 1 2 2 1 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 2 0 0 0 0 8 12 11 12 14 14 13 11 9 7 6 6 6 4 1 0 0 0 0 0 0 0 0 0 2 5 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 3 5 2 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 13 14 14 16 20 28 38 45 45 41 42 39 21 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 22 33 40 41 42 36 33 29 26 16 7 6 4 7 15 12 3 9 18 20 16 18 23 22 24 26 22 17 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 6 8 11 18 33 53 75 91 101 105 99 81 54 34 19 18 36 61 84 102 116 124 128 127 122 123 124 126 133 142 154 164 163 166 171 166 156 146 135 124 118 116 122 128 125 113 104 104 116 135 151 154 147 147 158 167 172 162 142 129 123 127 137 144 151 162 175 179 170 162 160 161 166 174 182 188 186 176 162 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 18 22 24 24 27 31 32 27 18 12 9 7 4 2 1 3 7 9 4 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 1 0 0 0 0 3 7 8 9 12 13 12 10 8 7 6 6 6 4 1 0 0 0 0 1 2 2 1 2 4 6 6 5 3 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 1 4 5 6 4 3 5 10 18 29 33 32 34 40 48 37 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 10 20 27 36 36 36 34 29 28 21 15 12 8 2 1 0 0 4 11 11 6 12 25 29 26 22 21 18 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 8 22 43 64 80 94 103 103 86 62 39 20 18 31 62 100 119 124 127 129 128 130 129 127 129 135 144 152 153 154 159 162 160 154 144 134 130 128 130 132 126 113 106 107 120 145 169 173 166 164 174 188 192 173 145 128 126 130 133 137 142 150 165 179 184 182 179 177 175 178 194 207 207 198 182 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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55 61 61 55 42 29 31 48 73 97 102 80 63 66 66 62 58 52 45 39 35 30 30 39 60 88 98 83 51 36 33 32 29 29 33 46 70 83 78 64 63 68 71 65 56 55 60 66 72 74 72 71 67 61 64 69 71 69 63 54 39 24 13 8 7 10 10 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 14 14 10 6 6 6 3 0 0 0 0 0 1 12 27 33 29 19 9 3 1 3 5 6 6 5 4 4 4 5 6 6 5 5 5 4 4 3 4 7 12 15 16 17 18 18 13 9 11 17 23 30 35 39 46 55 60 54 33 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 1 3 2 1 1 8 11 8 7 17 23 14 5 1 0 2 9 25 40 50 57 73 100 113 105 89 84 92 95 80 56 38 34 42 40 28 18 18 18 15 11 10 9 8 8 8 8 8 6 2 0 0 0 0 0 0 0 0 0 8 21 29 29 20 9 3 3 5 1 2 2 5 7 6 8 13 19 24 29 27 15 4 0 0 2 7 13 21 26 28 28 28 25 21 16 13 16 20 21 19 16 14 16 21 30 38 38 33 27 20 14 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
44 52 59 55 46 35 33 46 67 90 102 98 87 83 80 70 58 51 45 40 35 29 22 24 44 80 96 87 54 42 44 45 43 38 33 33 42 56 70 77 82 85 86 80 68 69 81 91 97 94 82 71 62 61 66 70 66 65 64 58 46 33 23 17 15 16 14 7 2 1 0 0 0 0 0 0 0 0 0 0 1 4 5 3 1 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 17 14 6 1 2 2 1 0 0 0 0 0 3 16 33 35 27 16 8 2 1 2 5 6 6 6 5 4 3 4 5 6 6 6 5 4 3 3 5 10 16 18 17 17 18 16 9 4 7 11 14 15 17 20 27 40 48 40 18 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 2 0 0 1 14 22 15 12 18 22 14 4 1 0 1 6 22 35 46 53 66 88 107 116 108 95 93 97 86 61 42 36 51 58 51 38 30 26 22 19 18 18 20 19 17 14 11 8 6 5 2 1 0 0 0 0 0 0 1 6 14 24 33 34 25 21 24 22 20 15 10 6 3 4 10 16 21 31 38 26 12 2 0 1 6 14 24 30 33 36 36 35 30 26 24 27 32 34 34 30 25 22 22 26 28 26 24 21 18 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
31 36 45 50 50 44 38 41 55 76 94 102 102 100 96 83 62 51 46 40 33 26 19 17 37 72 94 89 67 55 59 66 67 61 50 38 35 44 61 77 88 95 102 98 80 77 90 101 105 97 80 62 51 55 68 79 75 66 63 58 49 40 34 29 26 22 18 12 7 5 2 0 0 0 0 0 0 0 0 0 1 5 8 5 2 1 1 2 3 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 22 22 14 4 0 0 0 0 0 0 0 0 0 5 16 28 30 21 12 6 2 0 2 5 6 6 6 4 4 3 4 5 6 6 6 6 5 4 4 8 14 18 18 17 19 24 21 10 5 5 6 6 6 7 10 18 31 39 28 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 12 23 23 20 20 15 6 2 1 0 0 3 15 29 40 50 59 72 90 109 121 125 123 115 100 74 52 44 58 69 72 66 52 38 30 25 23 24 28 30 28 23 17 11 9 8 6 4 2 0 0 0 0 0 0 0 2 6 19 33 43 44 46 47 44 36 24 11 4 2 4 10 15 34 44 34 21 9 3 6 13 23 30 34 38 41 42 41 38 36 38 40 42 43 42 40 37 32 29 28 24 20 20 20 18 17 18 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 21 29 40 48 51 49 48 59 76 91 102 104 106 110 103 82 65 55 47 38 30 24 22 41 71 90 88 79 78 86 94 96 93 77 55 42 46 60 74 86 102 116 114 95 84 94 106 103 86 64 47 41 48 69 90 95 81 67 57 49 43 41 39 35 30 24 19 16 12 8 3 0 0 0 0 0 0 0 0 0 2 4 2 1 0 0 0 2 3 4 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 17 22 26 24 15 5 0 0 0 0 0 0 0 0 0 5 15 20 19 13 9 4 1 0 2 6 6 6 4 4 4 4 5 6 7 7 8 8 7 7 8 12 17 17 16 16 23 36 34 17 8 5 4 4 6 8 13 22 34 36 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 6 14 20 20 17 11 6 5 6 4 1 1 8 21 33 44 52 59 71 88 103 119 137 144 132 102 73 63 71 82 89 86 73 52 38 30 26 26 29 35 36 34 28 20 14 11 10 8 6 4 2 1 0 0 0 0 0 0 5 13 28 41 51 55 54 49 37 20 9 5 3 4 14 37 47 39 26 19 17 21 29 35 34 34 38 40 39 37 34 33 36 40 43 44 45 46 46 43 39 34 28 23 22 21 21 20 20 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 11 16 27 39 49 57 66 78 86 93 97 95 98 114 123 109 88 72 61 52 43 37 38 50 70 84 84 85 93 105 112 116 115 98 67 45 48 64 76 88 108 127 126 106 92 96 106 103 83 60 44 38 44 64 89 106 100 78 60 49 45 45 45 42 38 33 27 24 20 14 6 2 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 20 23 25 23 15 5 0 0 0 0 0 0 1 0 0 4 16 20 14 9 6 3 1 2 6 8 7 5 4 3 3 5 6 8 9 9 9 10 12 12 14 17 17 14 12 14 24 44 43 29 17 8 4 5 9 15 22 33 41 32 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 1 4 7 8 7 6 7 12 19 18 5 2 5 13 24 35 44 50 59 71 80 94 110 141 150 137 107 86 80 90 103 107 94 69 49 37 30 27 28 33 38 40 40 36 27 19 15 13 12 10 7 4 2 2 1 1 0 0 0 1 9 25 41 51 54 51 42 29 20 15 12 11 21 39 46 37 26 22 25 30 33 31 25 23 26 29 28 25 22 21 21 23 30 35 39 45 50 50 46 41 36 32 27 24 22 21 21 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 5 7 17 27 40 53 75 84 82 83 86 85 85 100 125 129 111 90 74 64 56 53 56 60 69 77 78 79 88 105 119 127 124 103 67 44 47 65 83 94 108 129 134 116 95 90 96 98 87 68 51 44 47 58 73 93 103 92 72 57 49 49 48 47 47 44 39 32 25 18 12 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 17 21 23 21 14 4 0 0 0 0 1 3 5 1 1 4 15 16 9 6 5 3 3 6 8 8 6 5 4 4 4 6 9 14 15 13 12 14 16 17 16 15 11 8 8 11 19 32 36 37 32 21 11 9 14 21 31 42 44 26 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 5 14 30 37 25 14 9 10 16 25 35 44 53 63 72 85 92 110 133 146 139 122 106 100 107 118 113 92 69 52 41 34 32 33 36 41 47 50 44 33 24 19 17 16 15 11 7 6 5 4 2 1 0 0 2 9 22 39 49 50 44 36 29 26 25 28 36 44 44 33 21 16 19 24 22 15 8 6 7 11 14 12 9 6 6 7 16 23 29 39 48 51 48 44 41 39 34 28 23 22 24 30 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
0 1 4 9 18 28 45 67 69 59 55 62 70 75 83 105 124 116 94 77 67 64 68 72 70 66 68 70 71 79 95 112 122 123 104 68 41 38 55 79 94 99 122 138 127 101 83 82 84 82 73 61 55 54 52 45 53 82 98 89 68 54 50 48 50 53 54 52 40 31 23 16 12 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 16 19 19 11 3 0 0 0 0 3 7 7 2 2 10 15 13 8 6 5 4 5 7 8 6 5 4 4 5 5 6 10 19 22 18 14 14 16 17 15 11 7 5 6 9 12 15 24 36 43 37 26 22 23 28 36 45 42 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 26 46 53 45 30 17 14 18 26 35 45 54 66 77 87 95 108 125 140 146 143 137 132 129 126 115 98 81 70 60 52 45 42 42 48 57 59 51 39 28 22 20 20 20 18 15 13 11 9 5 1 0 0 1 6 20 36 42 42 40 36 33 34 38 44 44 40 28 16 10 9 10 8 4 1 0 1 6 10 11 10 6 5 10 17 22 26 36 47 49 44 41 40 39 36 30 24 21 23 30 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
0 0 2 7 14 24 39 56 59 42 32 37 52 65 75 89 104 102 86 73 66 66 80 90 81 67 61 63 69 80 92 103 106 111 107 83 50 33 41 66 83 91 111 137 141 116 90 78 76 74 68 61 56 49 37 22 16 44 90 95 70 52 45 45 49 52 53 52 44 32 23 17 14 13 9 2 0 0 0 0 0 0 0 0 1 2 3 1 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 13 6 1 0 0 0 2 6 9 8 4 5 16 20 16 10 7 5 5 7 7 7 6 4 4 5 5 5 5 10 21 24 19 14 15 18 19 18 15 11 10 12 13 14 17 26 40 49 51 50 47 41 38 40 45 37 13 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 3 13 33 55 66 61 44 28 20 24 28 35 44 54 66 77 82 88 98 114 134 151 157 149 126 122 119 116 110 105 98 88 77 66 58 56 61 66 67 58 44 31 24 23 25 27 27 26 23 20 16 7 0 0 0 0 8 20 30 36 39 40 38 37 38 39 39 33 22 13 7 3 3 3 1 0 2 10 22 27 30 32 28 25 29 34 35 35 40 48 46 40 36 35 35 34 30 25 18 16 26 35 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
0 1 2 8 14 24 41 59 61 40 22 19 32 53 71 84 90 87 78 72 66 70 90 109 98 73 59 58 69 85 98 100 93 92 102 102 77 51 49 70 87 94 108 134 150 141 117 96 85 80 73 65 58 49 37 27 23 38 80 93 66 50 43 43 44 45 45 45 42 33 21 14 13 14 10 4 0 0 1 1 0 0 0 0 2 5 6 2 1 0 0 1 2 3 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 6 2 0 0 0 2 5 9 9 7 5 9 20 22 17 8 5 5 6 7 6 5 5 5 5 6 6 5 5 9 18 20 17 16 20 24 27 28 27 26 25 26 28 33 36 42 49 54 61 70 71 60 49 44 42 30 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 27 45 58 61 56 48 41 40 42 44 50 57 64 68 71 75 84 102 126 139 130 108 98 97 102 105 107 111 113 108 101 92 80 74 72 74 70 59 43 30 24 26 30 37 38 37 34 30 22 12 5 2 0 2 8 17 27 36 37 36 37 38 35 31 26 18 11 7 4 1 0 0 4 13 27 37 48 58 63 64 61 59 62 59 52 50 50 45 38 31 29 30 31 30 26 19 14 19 31 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 8 9 11 15 26 47 66 66 45 22 12 19 38 62 77 81 78 77 76 74 82 103 122 117 90 63 56 67 84 103 104 88 77 83 98 98 84 83 98 109 106 113 133 151 153 141 122 109 104 97 90 82 78 74 70 73 76 73 72 57 46 44 44 43 42 44 48 47 38 23 12 9 12 13 4 1 1 4 3 1 0 0 0 2 5 8 5 2 1 1 1 4 5 4 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 1 4 9 11 10 7 6 12 19 17 10 6 5 6 6 6 6 6 6 5 6 6 6 6 7 9 12 14 15 18 23 29 34 37 38 39 39 40 42 44 41 40 41 43 49 62 69 64 52 44 38 25 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 24 39 53 61 62 61 62 65 67 68 68 67 66 67 71 80 98 112 106 93 82 78 77 76 74 78 92 110 121 124 112 100 89 83 79 72 59 42 30 26 30 37 45 50 48 44 38 29 19 10 4 2 3 7 12 21 25 24 26 29 33 33 30 23 15 9 6 2 0 0 8 26 41 49 64 78 84 82 79 77 79 78 70 65 56 46 37 28 22 22 26 29 28 23 16 15 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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