Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 5 4 3 2 1 2 1 1 1 1 1 1 2 2 3 3 3 2 3 3 3 3 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 5 4 4 4 5 6 6 6 7 8 9 10 9 7 5 5 5 6 6 6 8 9 8 7 4 3 3 5 3 2 3 7 7 3 -4 8 10 4 2 6 2 5 9 6 5 6 8 6 5 6 -4 -7 2 6 5 7 5 -0 -0 4 6 4 -1 -1 9 18 11 -3 -3 1 1 3 3 1 4 5 3 -2 -5 -1 5 5 8 5 0 0 -0 0 1 -1 -0 4 4 3 11 31 45 34 13 6 6 6 5 4 3 3 3 4 6 8 9 10 11 13 15 16 14 11 7 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 4 3 1 0 1 3 6 8 8 7 7 6 5 5 4 5 5 4 3 4 6 5 5 6 6 6 6 5 5 5 7 6 1 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 5 7 7 6 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 5 6 10 22 33 25 12 5 3 1 -3 -5 -10 -7 -15 -9 -2 -8 -5 0 -1 -1 -3 -4 -9 -21 -26 -19 -15 -18 -15 -8 1 5 6 6 8 11 16 23 24 22 15 9 8 8 7 7 8 10 12 16 18 15 14 15 15 11 8 7 7 5 5 5 5 5 5 6 5 5 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 4 4 3 2 2 2 2 2 3 4 5 5 5 5 4 4 5 5 5 5 4 4 4 5 6 6 5 5 4 3 2 2 1 1 2 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 5 5 4 4 4 6 6 6 6 7 8 9 8 7 6 5 5 6 6 6 7 8 8 6 4 2 5 7 4 3 2 8 14 8 8 11 8 7 5 7 4 1 1 5 8 7 7 12 14 7 -0 -3 1 4 7 11 4 -4 -3 1 5 6 4 -3 -0 15 15 3 -3 -1 7 9 4 3 6 6 4 4 -0 -5 -4 1 7 5 2 1 -2 -0 3 5 8 11 10 11 23 39 38 20 7 6 6 5 4 4 3 3 4 5 6 8 9 10 10 12 14 16 14 11 8 6 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 4 3 2 1 1 2 4 4 6 8 6 6 5 4 5 5 5 3 2 3 5 5 5 5 5 6 5 5 5 5 4 4 -0 -2 1 2 1 2 5 5 5 5 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 7 7 5 4 4 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 5 5 5 5 4 4 4 6 12 23 32 31 22 14 6 6 7 5 3 2 -1 1 -1 2 4 3 6 7 8 5 -0 -4 -8 -6 -9 -12 -10 -3 3 5 5 5 6 7 10 11 14 11 4 3 4 4 5 5 5 6 8 8 7 8 8 8 7 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 3 3 3 2 2 1 1 1 2 3 4 5 4 5 4 4 5 5 5 5 5 4 5 6 7 6 6 6 5 4 3 2 2 1 1 1 1 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 6 6 6 5 4 4 4 5 6 6 6 5 6 7 7 7 7 6 6 6 6 6 7 8 8 5 3 1 4 10 7 -1 -0 9 15 5 5 5 1 5 8 6 3 2 -1 2 7 7 2 9 13 7 6 3 1 2 7 12 5 1 0 2 4 6 7 3 -2 0 4 5 4 6 10 5 3 6 8 9 7 6 1 -2 -4 -2 4 7 4 -1 -2 2 7 11 12 11 12 22 38 38 22 9 6 6 6 5 4 3 3 3 4 6 7 8 9 9 10 11 14 15 14 11 8 6 4 4 4 4 4 4 3 3 4 5 6 6 7 6 4 3 2 1 1 2 4 5 3 -0 -3 3 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 -5 -11 -3 -1 -5 -4 1 5 5 4 4 4 4 4 3 4 4 3 3 3 2 3 3 3 4 4 3 2 2 3 5 6 7 8 7 5 4 5 5 5 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 7 6 6 5 5 5 5 5 4 4 3 4 8 18 26 29 22 9 4 3 2 2 7 7 6 6 6 2 3 6 9 10 7 6 10 9 9 8 4 1 1 3 5 5 5 5 5 5 7 8 7 4 3 4 4 4 4 4 4 4 5 5 6 6 5 6 6 6 5 5 5 5 5 6 6 5 5 5 5 6 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 0 1 2 2 2 2 2 1 -0 0 1 2 2 3 4 4 4 4 4 5 5 5 4 4 4 5 6 6 7 7 6 5 4 3 2 1 1 1 1 2 2 2 3 3 3 4 3 3 3 3 4 4 4 4 4 4 5 4 4 3 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 6 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 6 6 6 5 4 4 5 6 6 5 5 5 6 6 7 7 7 7 7 6 6 7 7 7 5 3 0 0 6 8 -1 -1 6 9 2 -2 3 3 -1 7 8 1 -0 3 5 6 4 -0 2 6 7 6 4 2 3 4 6 5 8 9 8 7 6 7 8 7 1 -0 2 6 15 17 5 -1 4 11 15 10 3 -2 -1 3 2 4 6 2 -0 1 5 10 13 13 16 24 38 42 27 11 6 7 6 5 4 4 4 4 4 5 6 7 8 9 9 9 11 13 15 13 10 7 5 4 4 4 4 4 3 3 3 4 5 6 6 6 5 3 2 1 1 2 4 5 4 1 -3 -3 4 5 5 5 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 6 -0 -11 -9 -2 -3 -4 0 4 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 4 6 7 7 8 7 5 4 4 5 5 5 6 6 5 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 2 1 2 4 9 19 22 13 7 5 2 1 5 8 8 9 8 5 6 7 8 8 7 6 7 9 13 14 9 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 7 6 6 6 5 5 6 6 6 6 6 5 5 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 0 0 1 1 2 2 2 2 1 1 1 1 1 1 3 3 3 3 4 3 4 3 3 3 2 3 5 6 6 7 7 7 5 4 3 2 1 1 1 1 2 2 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 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 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 6 6 5 4 5 6 6 6 4 4 4 5 6 6 7 7 7 7 7 7 7 6 5 4 2 -1 -0 5 6 7 6 2 -1 6 10 5 -0 7 12 4 -0 4 8 6 1 -1 0 5 6 3 1 3 8 8 4 2 12 13 12 11 7 7 10 12 9 6 3 5 12 16 12 3 4 10 11 9 6 4 7 6 2 -1 1 3 3 4 8 13 16 20 29 41 42 30 14 6 6 6 5 5 4 4 4 4 4 5 6 7 8 8 8 9 10 13 14 12 9 7 5 5 4 4 4 3 3 3 3 4 5 6 6 5 4 3 2 1 2 4 4 4 2 1 2 6 6 4 5 4 3 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 -1 -8 -3 8 8 4 4 4 4 4 4 3 3 2 2 2 2 1 1 2 2 3 3 3 3 3 3 4 6 7 8 8 7 6 5 4 5 5 5 5 6 6 6 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 2 0 -1 -2 -3 -3 -4 -5 -3 2 11 12 8 6 4 3 7 9 10 10 8 9 10 10 12 11 10 13 15 15 11 8 5 5 5 4 4 3 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 6 6 6 7 7 6 6 6 6 5 6 6 6 6 5 5 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 3 3 2 1 1 3 4 6 7 8 8 7 6 4 3 2 2 2 1 2 2 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 6 6 6 4 4 4 5 5 6 6 7 7 8 8 7 7 7 6 4 3 0 1 6 9 10 8 -0 -3 11 13 6 3 4 8 8 3 2 7 6 3 3 2 1 0 3 5 5 7 12 12 6 10 12 12 9 2 3 9 8 5 4 4 5 6 8 11 11 9 9 8 7 7 11 10 4 1 -0 2 6 6 7 10 14 19 27 37 39 29 15 7 6 6 6 5 5 4 4 4 4 5 5 6 7 8 8 8 9 10 12 13 10 8 6 5 4 4 4 3 3 4 4 4 4 5 6 6 5 4 2 1 1 2 4 4 2 2 2 4 7 6 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 4 -2 -4 6 12 7 3 3 3 4 4 3 3 2 2 2 2 2 2 2 2 3 3 4 5 5 5 6 7 7 7 8 7 6 4 4 5 5 5 5 5 6 6 6 4 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 6 5 5 4 4 3 3 3 2 2 0 -4 -8 -12 -13 -12 -14 -15 -10 -6 0 6 7 6 6 6 9 10 9 7 8 15 15 12 19 19 19 21 17 11 6 4 4 5 4 4 3 3 2 2 4 5 5 5 5 6 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 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 5 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 3 2 1 0 0 1 3 5 7 8 8 8 6 5 4 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 5 5 5 6 5 3 4 5 5 5 5 5 5 6 5 5 4 5 6 6 5 6 6 6 5 5 5 6 6 4 4 4 5 5 5 6 7 8 8 8 8 7 7 6 5 3 2 4 6 7 7 9 5 2 8 6 7 10 4 3 7 6 3 6 3 1 4 6 2 -0 5 7 4 2 7 10 10 8 11 11 6 -1 1 7 2 -2 -3 1 4 8 5 1 4 6 8 8 2 5 9 8 2 0 4 5 4 6 9 11 15 20 29 34 28 15 7 6 6 6 6 5 4 4 4 4 4 5 6 7 8 8 8 8 9 10 12 11 9 7 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 3 2 1 2 3 4 3 3 2 2 3 5 5 4 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 4 -2 -6 -1 4 3 2 2 3 3 3 2 2 3 3 3 3 3 3 4 4 4 5 6 6 7 8 8 8 7 7 6 5 3 3 4 5 5 5 5 5 5 5 5 4 3 3 2 2 1 1 1 2 2 3 3 3 4 4 5 5 4 4 4 3 2 2 2 1 0 -4 -11 -13 -13 -12 -11 -12 -9 -3 1 5 6 7 7 7 9 9 7 6 3 6 11 14 19 20 18 14 8 5 5 4 4 4 4 4 4 2 -1 -4 -1 3 5 6 5 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 5 6 5 5 5 5 6 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 3 4 5 5 4 3 2 1 2 2 2 3 4 3 2 1 1 2 2 2 2 2 1 1 1 1 1 2 5 7 8 8 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 4 4 4 5 5 5 5 6 6 6 6 6 5 6 6 7 6 6 6 6 6 4 4 6 6 5 4 4 5 5 6 6 7 8 8 8 8 8 7 6 5 4 4 3 4 5 5 7 9 8 8 5 7 7 4 1 6 8 6 7 2 -1 2 5 6 4 6 4 1 2 4 6 10 7 11 10 5 0 4 8 5 1 -3 -2 3 11 3 -0 4 3 4 6 -0 0 2 3 1 2 6 5 1 2 7 11 14 20 30 31 19 9 6 6 6 6 6 5 5 4 4 5 5 5 6 7 8 8 8 8 9 10 10 10 9 7 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 2 2 3 3 4 3 2 2 2 2 4 7 7 6 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 6 3 -3 -5 0 2 2 2 2 2 2 2 1 3 4 5 5 6 5 5 6 6 6 7 7 8 8 8 7 7 6 6 5 4 3 3 5 6 6 6 5 5 5 5 5 5 4 4 3 2 2 2 2 3 2 3 3 3 3 4 4 4 4 4 3 2 1 -0 -2 -3 -3 -3 -3 -2 -1 1 -0 -0 4 6 6 5 6 7 6 6 7 7 10 4 -4 -0 6 10 11 8 6 6 6 6 6 6 5 5 5 6 5 -1 -10 -11 -5 3 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 5 5 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 2 3 4 6 6 5 5 3 2 2 2 2 4 4 4 4 3 2 3 3 3 3 2 1 2 2 1 1 2 4 6 7 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 4 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 6 5 4 5 6 6 5 4 5 5 6 6 7 8 8 9 9 8 7 6 5 5 4 3 3 5 7 6 7 8 7 4 5 7 6 2 4 7 8 10 4 1 0 0 6 5 5 4 3 5 5 7 8 7 8 7 2 4 7 6 12 12 4 -2 5 8 -1 1 10 8 6 5 2 -1 1 -1 2 3 5 5 3 2 9 14 15 21 29 24 12 7 6 6 6 6 5 5 4 4 4 4 4 5 6 7 7 7 7 8 9 9 9 9 8 7 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 2 2 2 3 2 5 14 16 12 9 7 6 6 6 6 5 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 7 5 -1 -0 3 2 2 2 2 1 1 2 3 5 7 8 8 7 7 7 7 8 8 8 8 8 7 6 5 6 6 6 4 3 3 4 5 5 5 6 5 5 5 5 5 5 4 5 4 4 4 4 3 3 2 2 2 2 3 3 4 4 4 4 4 2 1 -4 -9 -3 4 5 4 4 5 6 6 6 6 5 4 3 5 7 7 6 9 16 15 4 -2 0 4 5 4 4 4 5 5 7 8 7 6 5 7 11 9 0 -7 -11 -4 4 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 3 3 4 5 6 6 5 5 4 3 3 3 4 5 5 4 4 3 3 4 4 4 4 3 3 3 2 2 3 4 5 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 5 5 5 4 4 4 5 6 6 6 7 7 8 8 7 7 7 7 7 8 8 8 8 7 6 5 4 5 6 7 5 4 5 5 6 7 8 8 8 8 9 9 8 7 6 5 4 3 3 6 9 9 5 4 3 2 6 9 9 9 9 6 6 10 10 7 4 1 4 4 4 5 5 5 4 5 5 4 4 1 -0 8 9 4 12 17 8 -1 6 5 3 7 3 4 7 3 4 2 4 3 5 5 5 7 6 6 9 11 12 20 23 15 7 6 6 6 6 5 5 4 4 4 4 4 5 5 6 7 7 7 7 8 8 8 8 8 8 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 2 2 2 3 3 6 14 19 20 19 15 13 11 10 8 7 6 6 5 5 6 6 6 6 5 5 5 6 6 5 5 6 7 4 4 4 4 3 2 2 1 1 2 3 5 7 9 10 9 8 8 8 9 9 8 7 7 6 5 5 5 6 6 5 4 4 3 2 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 2 2 2 3 4 4 4 6 3 -3 0 5 6 5 5 6 5 5 5 4 5 6 6 10 13 12 11 12 16 21 15 5 3 4 4 4 4 4 4 5 6 7 7 6 7 8 15 18 16 13 5 -2 2 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 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 nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 4 4 5 5 6 6 6 5 4 4 5 5 5 5 5 4 3 3 4 5 5 5 5 4 3 4 4 4 4 5 6 5 5 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 7 8 8 8 7 7 8 8 9 9 9 9 7 6 5 4 4 6 7 7 5 5 6 6 7 8 9 8 8 9 9 8 7 7 6 4 3 4 5 10 11 6 3 2 2 9 12 8 7 7 5 5 9 11 8 6 5 2 3 4 5 3 2 3 4 2 1 3 1 -0 11 8 3 10 15 6 -0 4 2 4 7 4 4 3 1 4 4 6 8 9 8 7 7 6 5 3 2 7 16 16 9 6 6 6 6 5 5 5 4 4 4 4 5 5 5 6 6 7 7 7 7 7 8 7 8 7 7 7 6 5 5 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 5 7 12 17 21 21 22 20 17 15 15 14 12 9 8 7 7 6 6 5 6 6 7 8 8 8 8 9 11 8 5 5 4 3 2 1 2 3 5 6 8 9 10 9 9 8 8 8 8 8 7 6 5 5 5 5 5 5 4 4 4 3 2 2 3 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 3 2 1 0 0 -0 -0 0 1 2 3 6 9 8 5 5 5 5 5 5 5 6 7 6 7 8 12 17 20 18 14 11 10 12 11 7 5 5 4 4 4 3 4 4 5 5 6 7 7 8 12 18 18 15 12 5 2 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 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 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 4 3 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 3 3 3 4 3 3 4 5 5 5 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 4 3 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 5 5 5 4 4 4 5 4 4 5 6 7 6 6 6 7 9 8 7 8 8 9 9 10 10 9 8 7 5 4 3 5 7 7 6 6 6 7 8 9 9 9 8 8 9 9 8 7 6 4 3 6 10 13 12 9 3 1 3 6 9 9 2 -1 -0 2 6 7 4 3 5 2 2 4 6 5 3 4 8 6 1 5 4 2 8 5 0 8 15 7 -1 -0 1 2 2 7 5 5 6 4 2 3 8 8 9 8 6 4 3 3 3 10 16 12 6 5 6 6 6 5 5 5 4 4 4 5 5 5 6 6 6 7 7 7 6 6 7 7 7 7 7 7 6 6 5 5 5 4 4 4 5 5 5 5 5 4 4 3 4 4 3 3 3 3 3 3 3 4 4 5 8 10 14 18 19 20 20 21 20 18 16 13 9 8 8 7 8 9 11 12 13 13 14 14 15 15 8 5 5 4 4 3 2 3 5 5 6 7 9 9 9 8 8 8 8 7 6 6 5 5 5 5 5 5 3 -1 -6 -5 1 3 2 2 2 3 4 5 5 5 5 5 5 4 4 5 5 5 5 5 4 3 0 -2 -3 -5 -7 -6 -5 -4 -3 -2 3 7 6 4 5 4 5 6 6 8 10 9 11 14 13 12 14 15 10 6 5 5 4 5 5 5 5 4 4 4 3 4 4 5 5 6 6 7 8 12 11 7 6 3 2 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 5 5 6 6 5 5 5 4 4 3 3 3 3 3 4 5 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 4 4 3 3 3 4 3 3 3 4 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 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 6 7 8 8 8 9 9 10 10 11 11 10 9 6 5 4 3 5 6 7 7 7 6 6 7 8 9 9 8 8 9 8 7 6 6 4 4 9 15 12 6 6 2 4 6 5 -3 5 7 7 1 -1 1 3 6 8 6 4 5 5 7 10 7 2 2 4 4 7 8 3 0 6 2 1 12 9 -0 -1 5 4 2 7 4 6 10 6 -3 -2 5 7 6 7 6 4 4 8 12 18 18 10 5 5 6 6 6 5 5 4 4 4 5 5 5 6 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 4 4 4 4 4 3 3 3 3 4 4 3 3 4 3 2 3 5 7 9 12 14 14 13 14 16 16 16 15 14 13 15 16 16 15 15 17 20 22 21 14 5 5 5 4 4 3 3 4 5 6 6 6 7 7 8 8 7 6 7 6 6 5 5 5 6 6 6 5 4 -2 -11 -15 -7 3 5 3 3 2 2 3 3 4 4 5 5 5 5 5 4 5 5 5 3 -0 -3 -5 -8 -11 -13 -13 -13 -11 -11 -10 -2 4 5 4 4 4 5 7 7 6 9 10 11 12 8 4 5 7 6 5 5 5 4 5 5 4 4 5 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 3 1 3 5 5 4 4 4 4 4 4 5 5 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 8 8 9 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 7 7 7 7 6 6 6 5 4 5 5 5 5 5 5 4 4 6 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 6 8 8 9 9 10 11 11 12 12 12 11 9 7 5 4 3 4 6 7 7 7 7 6 7 8 9 9 7 8 8 8 7 6 5 3 4 10 15 7 1 1 1 7 6 4 -6 3 14 14 7 -0 -1 5 11 15 11 6 7 9 10 10 8 4 -1 -2 4 10 10 4 -1 9 9 -2 5 10 4 4 8 5 6 4 4 5 9 8 -0 0 3 6 7 7 7 6 7 10 16 20 15 8 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 2 2 3 3 4 5 6 5 5 6 8 12 16 17 17 17 16 14 12 9 9 12 15 20 19 10 6 6 5 5 4 4 4 6 7 7 6 5 4 3 1 2 3 1 -1 2 5 6 6 6 6 6 6 6 6 5 0 -4 -4 3 7 6 5 4 4 3 3 3 3 3 3 4 4 3 3 3 2 1 -1 -5 -8 -9 -10 -9 -10 -11 -11 -11 -8 -5 -0 4 5 5 6 7 10 14 15 11 10 11 7 4 5 4 4 5 5 5 5 5 6 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 9 9 5 3 5 5 5 4 4 4 4 1 3 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 8 9 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 6 7 7 7 6 5 5 5 4 4 4 4 5 6 5 5 5 6 6 5 5 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 4 4 4 3 3 3 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 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 7 7 6 6 8 9 10 10 11 12 13 13 14 13 11 9 7 5 4 3 3 4 6 7 7 7 7 7 8 9 8 6 7 8 7 6 5 3 2 4 9 11 5 4 2 6 8 2 -2 -1 1 17 13 10 3 0 6 9 9 12 11 9 9 10 8 8 9 6 3 6 9 8 6 6 11 10 3 3 7 5 7 7 5 7 7 9 7 8 8 8 5 4 4 8 10 9 5 6 10 16 17 11 7 6 6 6 5 5 5 5 4 4 4 5 5 6 5 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 7 7 6 6 5 5 5 5 4 4 4 3 3 3 3 4 4 3 4 3 3 2 2 3 3 4 3 3 3 3 3 4 6 8 9 10 9 7 5 5 5 5 6 9 12 12 8 7 7 6 6 6 6 6 6 8 8 7 4 3 1 -4 -6 -3 -4 -11 -12 -3 4 6 6 6 6 6 7 10 14 15 16 15 9 8 8 7 6 6 6 5 4 4 2 2 1 1 -1 -2 -4 -6 -8 -10 -13 -13 -8 -4 -2 -1 1 1 1 3 5 5 5 6 7 9 13 19 24 24 21 17 12 6 3 4 5 5 5 5 5 5 6 6 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 8 6 4 5 4 4 4 4 5 6 2 -1 4 5 5 5 6 5 4 5 4 4 4 4 4 4 5 6 6 6 7 7 7 7 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 6 6 6 5 4 5 5 5 4 4 5 6 6 5 5 5 6 6 6 6 5 5 6 5 5 4 4 3 3 3 3 4 4 5 6 6 6 6 6 5 5 5 5 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 10 10 11 13 15 15 15 15 14 11 9 6 4 4 3 3 4 5 6 7 7 8 7 7 8 8 8 7 7 6 5 3 2 1 3 7 8 6 8 7 10 7 5 3 8 0 4 1 11 10 6 2 2 0 11 14 8 5 9 10 9 9 9 9 12 8 2 3 7 10 10 5 1 2 5 7 5 5 7 9 11 6 7 8 11 7 4 6 11 12 8 3 6 13 17 14 9 7 6 6 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 6 6 6 6 5 6 6 6 6 5 6 6 6 6 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 3 4 4 5 7 7 8 9 8 8 7 7 7 7 6 6 6 7 8 8 7 6 5 5 4 -1 -1 -0 -7 -17 -17 -6 4 6 5 5 6 7 11 20 26 24 19 11 8 8 7 7 6 6 4 3 3 3 0 -2 -4 -6 -9 -14 -19 -19 -15 -13 -7 -1 2 2 5 6 6 7 8 7 7 7 7 8 9 13 10 8 15 17 11 7 5 4 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 8 7 3 3 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 8 8 7 7 9 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 5 5 6 5 5 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 8 9 11 13 16 17 16 16 15 14 10 8 6 4 4 3 4 4 5 5 6 7 8 8 7 8 9 10 8 6 5 4 3 2 1 3 7 7 7 9 9 7 6 9 8 13 7 -0 4 13 11 10 2 0 -2 3 9 7 6 13 16 12 9 6 6 8 5 2 2 1 6 12 5 -5 -1 8 7 4 6 8 9 6 3 5 8 10 5 3 10 14 13 7 4 7 15 18 12 8 7 6 5 6 5 5 5 5 4 4 4 5 6 6 5 4 4 4 5 5 5 6 5 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 1 1 2 3 4 4 4 4 5 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 11 14 12 8 9 7 -3 -14 -16 -9 -2 -0 1 3 6 9 16 22 18 9 7 7 7 5 4 3 1 -1 -5 -7 -4 -5 -10 -12 -11 -11 -15 -16 -10 -2 1 -0 0 2 3 6 7 5 4 6 8 8 9 10 12 13 9 6 3 5 6 2 2 3 4 4 5 6 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 4 4 5 6 6 6 5 5 4 5 5 5 4 4 4 4 5 7 8 6 5 5 5 5 5 6 6 5 5 5 4 4 4 4 5 4 5 6 7 8 7 7 7 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 4 4 3 4 4 5 5 6 5 4 5 5 5 5 5 5 5 5 5 6 6 7 6 5 5 5 6 6 5 5 5 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 9 12 15 17 17 16 15 14 12 9 7 5 4 3 4 4 4 5 5 6 7 8 8 8 8 9 10 9 7 5 4 4 3 3 5 7 7 9 10 7 2 7 6 6 7 12 6 11 9 5 12 5 4 -2 -4 6 6 9 17 16 13 11 6 2 2 2 4 5 -2 2 12 6 -4 -0 6 6 4 7 11 10 3 -1 2 7 7 3 4 13 16 11 6 5 8 15 17 11 8 7 6 5 6 5 5 5 4 4 4 5 5 6 6 5 4 4 5 5 5 5 5 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 4 4 3 3 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 1 1 1 3 5 5 6 6 6 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 6 7 7 8 9 11 11 9 9 9 6 -1 -15 -21 -16 -14 -10 -7 2 7 8 11 9 5 5 4 4 2 -1 -5 -9 -11 -12 -14 -16 -13 -11 -11 -10 -7 -3 1 4 6 9 4 0 2 4 8 9 7 4 5 11 14 15 13 11 12 12 14 10 4 4 2 1 2 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 5 6 5 4 4 4 5 6 6 6 6 4 3 4 5 5 5 5 5 4 5 6 6 6 6 6 6 6 5 6 7 6 7 6 5 4 4 5 4 4 5 5 6 7 7 7 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 7 7 6 5 5 5 6 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 4 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 3 3 3 3 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 6 5 5 6 6 6 6 7 9 13 16 18 17 16 14 13 10 7 5 4 3 2 3 4 5 5 5 6 7 8 8 8 8 9 10 10 8 6 5 5 4 4 7 8 9 11 10 2 -1 5 3 7 4 7 -0 5 0 -1 7 6 8 6 1 3 3 5 9 9 10 13 12 5 -1 0 5 4 -1 2 9 5 2 4 4 4 3 6 12 15 6 -3 -2 4 4 2 8 15 13 8 5 4 9 16 15 9 7 6 6 5 6 6 5 4 4 5 4 5 5 5 6 5 4 4 4 5 5 5 5 5 5 5 5 5 6 5 6 6 6 7 7 7 8 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 4 3 2 1 1 3 4 5 6 6 6 7 7 7 7 7 7 6 6 5 5 6 5 6 6 7 7 7 6 6 5 5 5 5 5 5 4 5 7 5 3 -2 -12 -15 -16 -17 -15 -9 -2 2 5 4 3 3 2 0 -3 -7 -8 -10 -10 -7 -5 -8 -7 -1 0 -1 1 5 8 8 6 7 7 6 6 8 9 13 18 13 9 16 20 20 15 5 3 8 7 5 5 5 3 2 2 4 4 5 5 6 6 6 6 6 6 7 7 6 7 6 5 5 4 5 6 6 5 5 4 4 5 6 7 9 7 2 3 5 6 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 7 8 7 6 5 4 4 4 5 5 5 6 6 7 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
nan nan nan nan 4 4 3 3 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 4 4 4 6 7 7 7 6 5 4 4 3 3 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 1 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 5 5 6 6 7 7 7 9 14 18 19 17 15 13 10 8 6 4 3 2 2 3 4 4 5 5 6 7 7 8 8 8 9 10 10 8 7 6 4 4 5 7 8 12 13 7 0 -0 2 2 5 10 8 -2 -2 -2 1 1 9 12 12 4 2 0 0 -1 2 6 11 13 8 0 1 3 3 3 5 5 5 7 6 3 2 3 6 11 12 6 1 -0 3 3 4 11 14 11 5 2 3 8 15 14 7 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 7 8 7 7 7 7 7 6 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 2 2 2 4 5 5 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 6 7 8 7 7 6 5 5 5 4 4 4 4 5 11 13 9 5 1 -1 -1 -5 -8 -15 -15 -9 -3 1 2 2 1 0 -3 -2 2 3 1 2 3 4 6 6 6 6 6 7 7 7 6 5 7 8 12 15 15 18 22 23 22 19 16 13 12 7 2 3 3 4 4 5 4 3 3 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 5 5 5 6 6 6 4 3 4 5 6 10 12 6 2 5 7 6 6 5 5 5 5 5 5 6 6 6 6 6 5 6 7 8 8 7 6 5 4 4 4 5 5 6 6 6 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 2 3 4 3 3 3 3 3 4 5 5 5 5 5 6 5 5 6 6 6 5 6 6 7 7 6 4 3 3 4 6 7 8 8 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 5 6 6 6 7 7 8 11 16 20 21 18 14 11 9 7 5 3 2 2 3 3 4 4 5 6 6 7 8 8 7 8 9 10 9 8 7 6 5 3 5 7 8 11 11 7 4 3 5 7 6 16 12 1 -4 1 7 1 11 14 13 4 2 1 1 -1 1 5 7 9 9 6 6 6 3 5 7 6 6 8 6 2 2 4 8 11 7 3 4 4 2 2 6 11 14 11 5 1 2 8 16 13 6 5 5 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 7 6 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 4 5 5 4 3 3 3 3 3 4 5 5 5 6 6 5 5 4 5 5 6 7 7 8 8 7 6 5 5 5 5 5 6 8 15 23 21 12 4 4 5 6 2 -7 -14 -17 -13 -6 -3 -3 -2 -1 3 7 9 8 6 5 5 6 7 8 7 6 5 6 6 5 6 6 8 9 16 20 19 16 15 18 16 11 7 6 8 8 5 5 5 5 5 5 4 4 3 4 5 5 5 5 5 5 5 6 6 7 7 8 8 8 7 7 6 5 5 6 7 5 2 3 4 4 5 7 11 10 5 6 7 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 7 7 6 5 4 4 4 5 6 6 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 2 2 2 2 3 3 2 2 2 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 6 5 4 3 3 4 6 7 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 2 2 2 2 2 2 2 2 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 8 8 10 16 21 23 22 18 13 9 7 6 4 2 2 3 3 4 4 4 5 5 5 7 9 8 8 8 9 9 9 8 7 6 4 3 5 6 9 10 8 6 4 6 9 12 9 12 9 6 1 2 8 5 8 10 7 6 1 -0 -1 2 6 8 7 5 5 8 11 9 3 5 9 9 6 5 6 5 3 6 8 11 8 2 3 4 2 2 7 11 13 11 6 2 2 10 17 12 6 4 4 4 4 3 3 4 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 7 7 8 9 8 8 7 6 6 5 5 5 5 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 3 3 2 3 4 5 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 7 8 8 8 7 6 6 6 6 7 8 9 14 20 24 19 14 11 7 5 4 1 -2 -6 -11 -14 -16 -16 -13 -9 -5 -3 -2 0 4 6 6 6 6 6 6 5 5 5 6 7 7 9 12 14 15 15 10 8 7 6 4 5 5 6 7 7 6 6 6 6 6 5 5 4 4 5 5 6 5 5 5 5 5 6 6 6 7 8 8 8 8 8 7 6 5 6 8 7 0 1 5 5 4 6 7 7 6 7 8 8 6 5 4 5 5 5 5 6 6 6 6 6 6 5 5 6 7 8 7 7 6 5 5 5 6 6 7 7 7 8 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 2 2 2 3 3 2 1 2 2 3 3 4 4 5 5 6 7 7 7 7 6 6 6 6 6 6 5 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 3 2 2 2 2 2 2 2 1 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 5 5 6 6 8 8 12 21 27 27 24 20 15 10 7 6 4 3 3 3 3 3 4 4 4 5 5 5 6 8 8 8 8 8 8 8 7 6 4 3 4 4 6 9 8 5 1 0 6 10 12 9 6 7 9 4 6 10 8 5 2 -3 3 1 -2 -1 7 12 9 6 2 3 7 11 8 4 6 11 9 3 2 8 10 6 6 7 8 7 4 3 4 5 7 9 11 11 9 6 3 2 10 17 10 5 4 3 3 4 3 3 4 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 8 8 9 8 7 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 4 5 3 3 3 3 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 7 7 8 9 10 11 15 22 29 24 18 13 7 4 3 4 -1 -12 -16 -14 -14 -12 -10 -10 -8 -2 4 7 7 5 5 5 5 4 5 8 10 11 13 17 21 18 10 7 5 4 5 5 5 5 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 6 6 8 12 7 2 6 6 6 6 5 4 5 7 7 6 5 5 5 4 5 6 7 8 8 7 6 6 5 6 5 5 6 7 7 7 6 5 6 6 6 7 7 7 7 8 8 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 1 2 3 3 4 3 2 1 2 3 3 3 4 4 5 5 5 6 6 6 7 7 6 6 6 6 6 5 5 4 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 2 1 1 2 2 2 2 2 2 2 3 3 4 3 3 2 3 3 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 3 4 4 4 4 4 4 5 5 5 5 5 6 7 8 9 21 37 37 26 18 14 9 6 4 4 5 4 5 5 5 4 4 4 5 5 6 6 6 7 9 9 8 7 7 7 6 5 3 3 3 3 10 12 9 5 1 0 5 6 7 8 8 7 5 3 5 8 9 5 1 -4 -2 3 3 3 8 9 5 1 0 3 6 6 5 3 7 11 6 1 4 11 12 7 5 5 5 6 5 7 10 11 12 10 11 11 9 7 5 2 7 13 11 7 4 3 3 3 3 3 4 5 5 5 5 5 5 6 6 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 4 5 5 5 6 6 7 7 8 8 8 7 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 5 5 4 3 3 2 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 7 7 9 17 22 22 23 23 18 13 11 9 6 3 3 2 -3 -2 1 -0 1 5 7 7 6 6 6 4 5 6 10 16 18 21 24 25 22 14 7 5 4 5 5 5 6 6 7 6 6 6 7 7 7 7 7 7 6 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 7 7 8 8 7 6 6 6 8 10 6 6 7 7 7 6 5 5 6 6 6 6 6 5 5 5 6 8 9 10 9 8 6 5 5 5 5 6 6 6 7 7 6 6 6 6 7 7 7 7 8 8 8 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 3 3 4 6 8 7 4 2 2 2 2 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 5 5 5 5 5 4 2 2 1 2 2 2 2 2 3 4 4 4 3 3 2 3 3 4 5 5 5 6 6 5 5 6 5 5 5 4 4 3 3 3 2 2 3 3 3 3 2 3 3 3 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 6 5 5 6 6 7 7 10 15 29 40 30 16 10 8 3 1 2 4 6 6 7 7 7 6 6 6 5 5 6 7 7 8 9 9 9 7 6 5 4 2 2 3 2 2 9 11 9 8 8 7 5 3 5 5 6 5 1 2 2 2 5 4 3 -0 -1 7 8 6 8 10 8 1 -1 1 3 4 3 2 5 7 4 0 6 12 10 3 2 2 3 5 6 10 14 13 14 12 11 10 9 9 6 3 4 9 14 11 3 3 3 3 3 3 4 5 5 4 5 5 5 6 6 5 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 8 7 6 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 3 2 2 2 2 2 3 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 6 7 10 15 20 23 23 21 20 19 20 20 16 10 7 7 7 7 12 16 14 10 12 13 11 13 13 16 21 23 23 21 17 12 9 7 6 5 5 6 6 6 6 6 5 5 6 6 6 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 7 6 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 9 10 10 9 7 6 6 6 6 5 5 6 6 7 7 6 6 6 7 7 7 7 8 9 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 5 5 4 5 9 12 11 7 4 2 2 2 2 2 3 3 4 4 3 3 3 4 5 6 6 7 7 7 7 6 6 6 5 4 3 2 2 2 2 1 2 3 3 3 3 3 3 3 4 5 5 6 6 6 6 5 3 2 2 3 3 2 3 3 4 4 4 3 2 3 3 3 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 3 3 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 5 5 6 6 6 6 7 7 9 13 22 29 25 15 7 7 8 1 -3 0 4 6 7 8 9 8 8 8 7 6 6 6 7 7 8 8 9 9 7 4 2 1 1 2 3 3 4 5 6 5 8 12 11 7 6 5 1 -1 2 6 9 5 -1 -1 3 4 1 3 9 8 6 12 16 15 8 3 1 3 2 -0 5 5 4 3 3 7 10 4 1 3 2 -1 -1 6 13 15 13 11 13 13 9 7 8 6 5 4 9 18 13 3 3 3 3 3 4 4 5 5 4 5 5 5 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 5 5 5 4 4 4 4 4 5 4 5 4 4 4 5 5 5 4 4 5 4 4 3 3 2 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 2 2 3 4 4 5 8 12 17 21 21 22 23 21 22 23 20 16 16 15 17 23 25 23 23 25 24 24 23 19 15 14 16 14 9 8 8 7 7 6 6 6 6 6 5 5 5 5 4 4 5 5 6 6 6 6 7 7 6 5 5 5 4 4 4 3 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 8 9 10 9 6 5 5 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 8 8 8 8 8 7 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 7 6 6 5 5 6 9 13 12 8 4 3 2 2 1 1 2 3 3 4 4 3 3 3 4 5 6 6 7 7 7 6 6 7 7 6 5 4 3 3 2 1 1 2 2 2 3 3 4 4 4 4 5 5 6 6 7 7 5 4 3 3 3 2 2 4 4 4 3 2 2 2 3 4 4 5 6 6 6 6 6 6 7 6 6 5 5 5 5 4 4 3 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 6 6 6 7 8 11 17 24 23 12 8 5 6 7 -1 -6 -1 3 5 6 7 8 9 8 8 8 7 7 7 8 8 9 9 9 9 6 2 0 1 2 3 2 4 5 7 11 6 7 9 7 8 10 7 -1 -4 1 8 13 9 1 -1 5 5 3 5 6 3 4 11 16 16 13 11 7 4 1 -1 4 2 3 6 4 8 7 3 3 6 6 1 -2 4 10 14 15 10 12 12 7 4 3 6 9 7 13 20 11 4 3 3 3 3 3 4 4 4 4 4 4 5 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 6 6 5 4 4 5 5 5 6 5 5 5 5 4 4 4 4 3 4 4 4 4 3 3 3 4 5 5 6 7 9 12 13 13 12 11 14 19 23 24 23 26 28 25 21 22 24 22 20 19 17 15 10 7 7 8 7 7 7 6 6 6 6 6 5 5 4 4 3 3 4 4 5 5 6 5 6 6 7 7 6 6 5 4 4 3 3 3 4 4 4 3 3 4 4 5 5 5 5 6 7 7 7 7 7 6 6 6 6 5 5 5 4 5 5 6 6 7 6 6 7 7 7 7 8 9 8 6 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 7 7 7 7 8 8 8 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 6 6 6 6 5 5 7 10 11 8 4 3 2 1 0 0 1 2 3 4 4 4 3 2 2 3 4 5 6 6 6 6 6 7 7 7 6 6 5 4 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 6 7 8 7 5 4 3 3 3 3 4 4 3 3 2 2 2 3 4 5 5 6 6 6 5 5 6 7 7 7 6 6 5 5 5 5 4 4 3 2 2 2 2 2 2 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 5 4 5 5 5 5 6 7 8 10 14 21 25 17 8 10 8 -0 -3 -5 -5 -1 3 4 5 6 8 8 8 8 7 7 8 8 10 10 10 9 10 9 5 1 1 2 2 4 4 4 5 9 15 7 10 5 0 8 11 8 3 -2 -1 4 8 8 4 3 8 7 6 5 4 2 5 9 11 13 14 12 9 8 3 0 1 0 4 8 5 7 5 5 5 7 13 7 3 4 5 12 21 14 10 9 6 0 -1 7 16 12 14 20 10 4 3 2 3 3 3 3 4 4 4 4 4 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 5 6 6 5 5 5 6 6 6 5 5 4 5 4 5 5 5 5 6 5 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 6 7 7 7 8 9 11 15 18 19 21 19 15 12 11 10 10 8 7 7 8 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 6 6 7 6 6 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 7 7 7 6 6 6 6 6 4 4 4 4 5 5 5 6 6 6 7 7 8 8 8 8 8 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 5 4 4 5 7 8 7 5 4 3 1 1 1 1 3 3 4 5 5 3 2 2 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 5 4 3 3 2 3 3 3 3 3 3 3 4 5 5 5 7 8 8 6 4 3 3 3 3 4 3 3 2 1 2 2 3 4 5 4 4 5 5 5 5 6 7 7 7 7 6 6 6 5 6 7 7 6 5 4 4 4 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 5 5 4 4 5 5 5 5 5 7 8 10 14 20 25 23 13 7 11 3 -10 -11 -7 -2 2 4 4 5 6 7 8 7 7 6 6 7 9 11 12 13 11 10 7 3 1 3 3 0 1 7 10 6 3 2 4 10 5 -0 7 11 9 7 7 7 5 3 3 4 6 9 10 9 6 5 6 7 7 8 11 13 8 4 10 8 1 -1 -3 2 10 8 7 6 7 3 5 12 10 8 8 5 10 23 20 11 8 5 -3 -2 11 19 14 15 20 12 5 4 3 2 3 3 3 4 4 4 4 4 5 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 6 5 5 5 4 5 5 4 5 6 6 5 5 4 5 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 5 5 4 4 4 5 5 4 4 3 3 4 4 4 4 5 5 5 5 5 6 5 5 6 6 7 8 9 9 8 8 8 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 4 4 4 4 5 6 5 5 5 5 6 6 6 6 5 4 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6 7 6 6 6 6 5 4 3 3 3 4 4 4 5 6 6 6 6 7 8 9 9 8 7 7 6 6 6 6 5 5 4 5 6 6 6 6 6 5 6 6 6 7 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 6 6 6 6 5 4 3 4 5 7 6 5 4 3 3 3 4 3 3 3 4 5 6 5 4 3 3 3 3 3 3 3 4 4 4 4 5 6 6 7 7 6 6 6 5 4 4 4 4 2 2 2 2 4 5 6 5 6 8 9 8 5 3 2 2 3 4 3 2 1 1 1 2 3 4 5 4 4 4 4 4 5 5 6 6 7 7 7 7 6 6 7 8 9 9 8 7 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 7 9 14 22 27 26 18 8 4 2 -7 -16 -12 -5 -0 3 4 4 5 6 6 7 6 6 4 5 6 9 11 14 15 14 10 5 2 2 4 3 1 -2 1 8 8 2 -2 3 7 8 2 0 8 10 8 17 16 8 1 0 3 6 10 12 10 7 6 7 7 4 4 7 9 4 -1 5 6 3 0 -9 -1 17 14 8 8 5 -3 2 6 6 12 17 14 11 19 22 11 5 3 -2 1 12 16 12 14 21 14 5 4 3 2 3 3 3 4 4 4 4 4 5 6 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 5 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 4 5 5 6 6 5 5 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 3 2 2 2 2 3 3 3 3 3 4 4 5 5 5 4 5 5 5 4 5 5 5 6 6 6 5 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 3 2 3 4 5 5 4 3 3 3 2 3 5 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 4 3 4 4 4 4 5 5 5 5 6 6 8 9 10 10 8 7 6 6 7 7 6 5 5 6 6 7 7 6 6 5 5 5 5 7 8 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 6 6 5 5 4 4 3 4 4 5 5 4 4 4 5 6 6 6 5 4 4 5 6 6 5 4 3 3 3 2 3 2 3 3 3 4 4 4 5 6 6 7 7 7 7 7 7 6 5 3 2 2 3 4 6 6 6 7 8 9 8 6 3 2 2 3 3 3 2 1 1 2 2 3 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 7 9 10 10 9 8 8 8 7 6 5 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 5 5 5 6 8 14 25 33 28 19 11 5 3 -6 -18 -18 -9 -2 1 3 4 4 5 6 6 6 5 4 4 4 5 8 11 15 18 17 10 3 2 4 3 2 5 6 4 2 3 4 3 3 5 8 6 -4 -0 2 6 17 13 5 1 2 3 6 11 11 9 6 6 8 8 5 2 2 2 -0 1 3 2 3 3 -8 -3 20 21 7 6 3 -6 1 4 3 10 18 17 16 23 24 12 4 1 -0 4 12 12 10 14 23 16 6 5 3 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 2 1 1 1 1 1 1 2 3 2 3 4 4 4 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 4 4 4 3 3 2 3 5 5 5 3 2 1 -1 -5 -5 3 6 5 5 5 5 3 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 6 8 10 10 10 8 7 7 7 7 7 6 6 6 6 7 8 7 6 5 4 4 5 6 7 7 7 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 6 6 5 4 3 3 3 3 4 3 4 3 3 4 5 6 7 7 5 4 4 5 6 7 7 6 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 7 8 8 8 7 6 4 3 3 4 5 6 6 6 7 8 9 8 7 5 4 3 2 3 3 3 3 3 2 3 3 4 4 4 3 3 4 4 4 5 5 5 5 5 5 6 6 6 5 5 6 8 8 8 8 8 8 8 7 5 4 3 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 5 5 6 7 12 25 38 36 20 7 6 8 9 -9 -22 -15 -5 -0 2 3 4 5 6 6 6 6 5 4 4 4 6 9 12 18 23 19 10 3 3 5 4 3 4 11 15 12 10 9 4 0 2 9 9 -1 -3 -4 3 12 8 2 3 2 2 6 9 8 7 6 5 7 11 10 5 1 -1 -2 2 3 3 6 6 -1 -3 15 18 5 3 2 -4 2 1 -1 5 14 13 21 31 26 11 3 0 0 7 13 11 9 13 22 18 7 6 4 3 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 6 6 5 4 4 5 5 5 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 5 4 3 2 2 2 1 0 -0 -0 -0 1 2 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 4 4 4 4 5 4 3 2 2 3 5 5 4 3 3 3 1 -7 -11 -3 5 6 5 5 5 4 2 2 2 3 3 3 4 4 4 5 5 4 3 3 3 3 1 3 4 4 5 5 5 6 7 7 6 6 5 5 6 5 4 4 4 4 4 3 3 3 4 6 8 10 10 9 8 7 7 8 8 7 6 6 6 6 7 8 7 6 4 5 5 6 7 7 6 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 7 6 5 4 4 3 3 3 3 3 2 3 3 4 4 5 6 6 5 4 3 3 5 6 7 7 5 4 3 3 3 4 3 3 4 4 3 3 3 4 4 5 5 6 6 7 7 7 7 6 6 5 6 5 5 5 6 6 7 8 8 7 7 6 4 3 3 2 3 3 4 3 3 4 4 3 3 3 3 3 4 5 4 4 4 4 4 5 6 6 6 5 4 4 4 5 6 6 7 7 7 6 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 11 22 34 39 28 12 -1 1 10 2 -16 -18 -8 -1 2 3 4 5 6 6 6 6 6 5 4 4 5 7 9 14 21 24 17 8 4 4 6 7 6 5 4 4 7 11 11 4 -0 5 11 12 7 5 2 4 6 4 -2 -2 1 4 5 5 5 7 7 3 3 11 14 9 5 3 4 6 4 4 7 8 3 -1 8 9 0 -0 -2 -3 5 -1 -3 3 7 8 27 37 22 7 1 0 2 10 14 11 8 12 21 19 8 6 5 3 3 3 2 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 4 5 5 5 5 6 7 6 6 6 6 6 5 5 5 4 3 2 1 1 1 1 0 0 0 2 3 3 3 3 3 4 4 4 5 5 5 6 6 5 4 4 3 3 3 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 5 5 5 4 3 2 2 4 5 5 4 3 3 5 5 2 -2 -2 4 5 5 4 4 4 3 3 3 3 4 4 4 4 4 3 6 7 4 3 4 5 2 2 5 4 4 4 4 5 6 6 6 6 5 5 6 6 5 4 4 4 4 3 3 3 3 4 6 9 10 10 9 8 8 8 9 9 8 7 6 6 6 7 8 7 6 6 6 6 6 6 6 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 10 8 6 5 4 4 3 3 3 3 3 3 3 3 4 5 5 5 4 3 2 2 3 5 6 6 6 4 4 4 3 4 4 3 4 4 4 3 3 4 4 4 4 4 4 6 6 7 7 7 7 8 7 5 5 5 6 6 6 7 7 8 9 8 6 4 2 3 3 4 4 4 4 4 4 3 3 2 2 3 4 5 5 4 4 4 4 4 5 5 5 5 5 4 3 4 4 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 5 6 7 8 7 9 12 18 25 29 28 17 5 -4 -5 -4 -20 -20 -9 -1 2 3 4 5 6 6 6 6 6 6 5 5 5 6 7 11 18 24 19 9 3 4 5 7 7 7 10 7 2 -1 0 3 1 3 8 12 17 19 13 7 6 3 0 -3 -1 4 6 3 2 6 11 10 -0 -0 12 16 12 9 10 11 10 7 6 11 10 2 -1 5 9 2 -1 -4 -4 9 5 -0 2 -1 6 29 35 18 3 -0 1 5 11 15 11 8 13 20 16 9 7 5 3 3 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 7 7 6 5 5 5 5 5 5 4 4 1 0 -0 0 1 2 2 3 4 6 7 5 3 3 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 3 2 3 4 5 5 3 2 2 5 7 8 6 3 5 5 5 4 4 4 4 4 5 5 5 5 6 5 5 3 5 7 5 4 6 9 8 6 6 6 5 4 4 5 5 6 5 5 5 5 5 5 5 5 4 5 4 4 4 3 3 3 5 7 9 10 11 10 9 9 9 9 8 8 7 6 6 7 8 8 7 7 7 6 6 6 6 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 11 11 9 7 6 5 4 4 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 3 4 4 5 4 4 4 4 3 4 4 4 5 5 4 4 4 4 5 4 4 4 4 5 6 6 7 7 7 6 5 4 4 5 5 5 6 6 7 8 9 8 6 4 3 3 4 4 4 4 4 4 4 3 2 3 3 4 5 5 5 5 4 4 4 4 5 5 5 6 5 5 4 5 6 6 6 6 6 5 4 3 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 7 9 9 10 12 14 17 18 17 16 13 4 -3 -5 -7 -14 -19 -11 -1 2 3 4 5 6 6 6 6 6 6 6 6 5 5 6 8 13 21 23 13 4 -0 4 5 5 5 6 8 7 4 7 5 1 -2 5 9 11 21 27 16 7 6 6 4 0 1 4 6 6 3 6 12 13 1 -2 10 15 12 9 8 9 11 6 3 10 14 9 0 5 16 12 6 -0 -2 6 10 1 0 2 16 30 26 11 1 -1 2 7 12 13 8 8 15 20 14 8 8 6 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 6 6 6 5 5 5 5 5 5 4 4 2 0 -0 0 1 3 4 5 5 7 11 11 7 5 3 3 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 5 6 6 6 5 5 4 3 3 4 5 4 1 -0 -0 2 10 15 9 4 4 5 5 5 4 4 4 5 6 6 6 6 6 6 9 9 7 7 5 3 5 9 11 8 7 7 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 7 9 10 10 10 10 8 8 9 8 8 8 7 8 8 8 8 8 7 6 6 5 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 10 11 11 10 9 8 7 6 5 6 5 5 4 4 4 4 4 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 6 6 5 4 4 4 5 6 6 5 4 4 3 4 5 6 6 5 4 4 4 4 4 4 4 5 5 5 6 8 8 7 5 4 3 4 4 3 4 5 5 4 4 3 2 3 4 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 5 4 5 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 10 13 12 15 17 15 15 12 10 7 2 -2 -1 2 -1 -3 -2 -0 2 3 4 5 5 6 6 5 6 6 6 7 7 7 7 8 10 16 23 19 9 2 -0 5 6 2 3 5 7 3 -1 2 2 0 3 10 6 7 20 24 14 6 5 5 6 5 4 4 7 10 5 3 9 12 5 -0 6 13 12 6 1 5 12 8 -1 1 14 16 5 4 13 15 12 7 1 -3 9 11 13 15 25 26 18 6 0 -1 2 7 12 11 6 7 16 20 13 7 8 6 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 3 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 3 1 0 0 1 2 4 5 6 6 8 11 11 9 6 4 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 6 6 5 6 6 5 4 3 3 4 5 3 0 -2 -3 -2 5 14 10 5 4 5 5 5 5 5 5 5 6 6 6 6 5 6 10 14 11 8 6 3 3 5 7 6 5 5 6 6 6 6 7 7 6 5 5 4 5 5 5 5 5 5 5 6 6 5 4 3 3 4 5 7 8 9 9 9 8 9 9 8 7 7 7 7 8 9 8 8 8 8 8 7 6 5 5 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 10 12 13 12 11 10 10 9 9 9 8 7 6 5 4 4 4 3 3 3 2 2 3 3 3 3 4 4 5 5 6 6 6 6 5 4 4 4 5 6 7 8 7 6 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 6 6 6 5 4 4 4 4 4 5 5 4 4 3 3 3 3 4 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 7 12 17 16 18 15 9 7 8 10 8 7 13 18 15 9 7 5 3 3 5 5 5 5 5 5 5 5 7 8 8 9 10 11 12 14 20 23 16 8 6 7 8 7 1 2 6 7 8 9 6 1 -1 4 8 2 5 14 15 9 6 3 4 6 9 9 4 5 8 4 1 6 8 6 2 6 13 9 1 -0 4 7 5 0 0 9 13 9 7 7 7 8 10 5 -7 3 21 27 23 21 17 8 -0 1 1 1 6 9 9 7 9 16 19 11 6 8 7 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 5 5 4 4 5 4 4 4 5 5 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 4 4 4 3 3 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 5 4 4 4 5 5 4 4 3 2 1 2 2 2 3 4 5 5 6 9 9 8 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 6 6 6 5 4 4 4 4 5 6 3 -1 -1 1 0 2 5 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 8 10 9 7 5 4 4 4 4 4 4 4 4 5 6 7 7 8 8 8 7 6 5 5 5 6 5 5 6 5 6 6 5 4 4 4 4 5 6 7 8 8 9 9 9 8 7 6 6 6 7 8 8 8 9 9 10 9 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 8 10 11 12 12 12 12 11 11 12 11 10 8 6 6 4 3 3 3 3 3 3 4 4 4 4 4 5 6 6 7 7 6 5 4 4 3 3 4 6 7 8 9 8 6 5 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 4 3 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 6 7 9 16 22 20 14 7 3 5 9 12 12 21 35 30 17 9 5 4 5 6 6 6 5 6 5 5 5 6 7 8 9 11 14 15 14 16 20 20 13 8 9 12 12 7 2 3 6 6 9 14 18 11 5 3 -2 -4 7 12 7 4 4 1 3 9 11 8 4 4 5 6 4 4 6 6 6 12 12 4 -2 3 8 8 1 2 10 7 6 13 12 5 5 7 9 9 -5 -7 14 29 25 15 6 -3 -3 2 0 1 7 9 8 8 9 14 18 11 5 8 7 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 5 5 5 4 4 3 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 2 2 2 2 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 2 3 4 4 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 4 4 4 6 10 10 7 5 6 4 1 3 6 7 6 5 5 5 6 7 7 7 7 7 6 6 5 5 6 6 5 4 4 5 5 4 4 4 4 4 4 5 5 6 6 8 9 10 9 7 6 6 6 6 6 6 6 6 6 7 6 5 4 4 4 5 5 6 7 8 9 9 9 9 7 7 5 4 5 5 6 8 9 10 9 9 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 8 9 10 9 10 10 11 12 12 12 11 10 8 7 5 4 4 4 5 5 6 6 5 5 6 6 7 7 6 6 6 5 4 3 3 3 4 5 6 8 9 8 8 6 5 5 3 3 3 3 2 2 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 5 6 5 5 5 5 5 5 4 4 4 4 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 3 3 4 4 4 5 5 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 7 10 16 23 25 17 9 4 3 6 9 10 14 24 32 15 2 -0 2 5 6 7 7 6 6 6 5 6 6 7 8 9 10 14 17 16 15 14 15 14 8 3 5 9 10 7 7 8 7 7 6 12 16 9 7 12 -3 -3 11 10 3 5 4 -2 3 13 10 4 4 4 6 9 9 5 4 5 11 15 8 -1 -1 8 12 8 -0 6 15 6 6 16 11 3 8 11 11 11 3 -5 9 28 22 10 -1 -7 0 4 2 5 9 8 7 8 9 13 19 14 6 7 8 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 4 3 4 4 4 4 5 5 5 4 3 3 3 3 2 1 2 3 3 3 3 3 3 3 4 4 4 3 3 4 3 3 2 2 2 3 4 4 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 4 6 10 15 14 10 9 11 7 5 7 7 5 4 4 5 5 6 7 7 7 7 7 7 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 6 8 9 10 8 6 7 8 7 7 7 7 7 7 6 7 6 5 4 4 3 3 4 5 6 7 8 9 9 9 8 6 4 4 3 4 5 6 8 9 9 9 9 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 5 5 6 7 8 9 10 11 11 11 11 11 11 9 8 7 9 9 9 9 8 8 7 6 7 6 6 5 5 6 6 5 4 3 4 4 5 5 7 8 8 8 8 7 6 5 5 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 4 4 5 5 6 6 10 18 22 23 19 11 6 4 4 6 8 8 11 12 3 -10 -9 -2 4 6 7 7 6 7 7 6 6 6 6 7 8 9 10 15 18 16 14 13 11 10 6 3 3 5 3 4 9 11 9 7 3 3 7 8 11 15 -1 2 9 5 4 9 6 -1 7 14 6 3 5 4 5 9 7 4 6 6 11 12 5 1 5 12 12 4 1 8 9 5 10 14 6 3 8 8 10 11 15 11 21 31 18 3 -11 -10 8 13 10 11 11 9 7 8 9 12 18 16 7 6 8 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 5 5 4 3 3 3 3 2 2 2 3 3 2 2 2 2 2 4 4 4 3 3 4 3 3 3 3 3 4 4 4 5 5 5 5 6 5 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 6 9 13 15 11 10 13 8 6 7 6 4 4 4 4 5 5 6 7 8 8 8 7 6 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 4 5 6 6 6 6 7 7 8 8 8 8 7 7 7 6 6 5 4 3 3 3 4 4 6 7 7 8 9 9 8 7 5 3 3 3 4 6 7 8 9 9 8 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 2 3 4 5 6 7 8 9 10 11 11 12 12 11 11 14 15 13 11 10 9 8 7 7 6 5 4 4 5 6 5 5 5 4 4 5 5 5 6 7 7 7 7 7 7 6 6 6 6 5 5 5 6 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 5 5 4 4 4 3 4 3 3 3 4 5 5 5 6 6 11 19 22 17 11 8 6 4 3 4 7 7 3 -3 -17 -15 -5 3 5 6 6 7 7 7 7 7 6 7 7 8 9 9 11 15 17 16 13 10 7 7 5 4 6 6 4 3 6 8 8 5 -2 -3 -2 1 15 11 1 7 5 2 9 17 10 1 3 4 4 9 9 4 4 4 3 5 11 14 13 11 4 8 12 11 10 3 2 1 -2 4 13 8 3 7 10 7 1 8 22 23 35 32 14 -8 -23 -9 21 30 24 17 13 10 9 8 9 12 17 16 7 5 7 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 6 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 3 3 3 3 2 3 4 4 5 4 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 3 3 4 4 4 5 4 4 3 3 3 3 2 3 3 3 3 3 2 2 2 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 1 -0 -1 1 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 7 10 13 10 8 8 5 4 5 4 4 4 4 4 5 5 6 7 8 8 8 7 6 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 5 5 6 7 7 8 9 9 8 7 7 6 6 5 4 3 3 3 3 4 4 6 7 8 8 8 8 7 6 4 4 4 5 5 6 7 8 8 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 2 2 3 3 4 4 5 7 7 8 9 11 11 11 11 14 15 13 11 12 12 10 9 8 8 6 4 5 5 5 5 5 6 6 5 5 6 5 5 5 6 5 6 6 6 6 7 8 8 8 7 7 7 6 5 5 4 4 4 4 4 5 5 4 4 4 4 3 3 4 5 4 4 4 5 5 5 5 5 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 4 5 4 5 6 6 8 17 20 14 10 9 7 4 3 5 8 6 -1 -7 -11 -5 2 5 6 6 7 7 7 7 7 7 7 7 7 8 9 11 14 16 15 14 14 8 3 3 1 0 6 10 12 10 7 7 6 4 3 6 0 2 10 4 1 11 8 3 15 26 14 3 -2 -3 6 15 10 6 4 -1 -2 3 9 14 17 15 8 12 11 8 11 4 -3 -7 -6 5 9 3 2 8 8 4 0 9 19 28 39 29 10 -13 -22 1 29 37 30 20 13 9 9 10 9 10 15 17 10 4 6 6 5 6 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 6 5 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 3 4 4 4 5 5 5 4 4 4 5 5 5 4 3 3 2 2 2 3 4 5 5 5 4 3 4 4 5 5 6 6 6 6 5 5 5 5 6 6 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 1 -2 -6 -8 -6 -5 -2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 8 11 12 9 4 3 2 3 4 4 4 4 4 4 5 6 7 7 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 5 4 4 4 5 5 5 5 5 6 7 8 9 9 9 8 8 7 6 5 5 3 3 3 3 4 4 5 6 7 8 8 7 7 6 5 5 5 5 5 6 7 8 8 9 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 2 2 2 2 2 3 3 3 4 4 5 6 8 9 9 9 9 8 9 10 12 14 13 12 11 11 9 6 5 5 5 5 6 8 8 7 6 6 6 6 5 5 4 4 4 4 4 6 8 8 8 8 7 6 6 5 4 4 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 5 5 5 5 6 7 5 11 18 17 13 11 8 4 4 8 7 4 2 0 1 4 6 7 7 7 7 6 6 6 6 7 8 8 9 10 12 16 18 17 13 12 14 8 5 6 4 1 3 6 11 12 9 7 4 3 11 18 12 8 4 -5 -4 2 6 5 18 23 8 3 1 3 12 12 6 5 1 -3 -3 1 4 8 12 13 13 9 8 9 10 4 -2 -1 2 1 -4 -4 1 8 6 -1 -0 8 12 30 39 25 7 -10 -9 9 22 24 22 17 11 8 8 9 8 10 16 19 11 4 6 6 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 3 3 2 2 3 4 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 6 6 6 6 5 4 3 3 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 3 2 2 2 3 3 3 3 3 4 4 3 3 4 4 4 4 5 5 4 4 4 3 2 1 -3 -7 -9 -7 -7 -4 0 3 4 5 5 5 5 5 5 5 6 5 4 5 6 7 11 15 9 3 3 3 3 4 4 4 4 4 4 5 6 7 8 8 7 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 5 4 5 5 5 5 5 5 5 6 7 8 8 9 9 9 9 8 7 7 6 5 4 4 3 3 3 4 5 6 7 7 6 6 5 4 5 5 5 6 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 3 3 2 2 2 2 1 2 2 2 2 2 2 2 3 4 5 7 8 7 5 5 5 7 9 11 12 12 13 13 11 9 7 7 6 7 8 9 9 8 8 7 7 6 5 5 4 3 3 3 4 4 5 5 6 7 6 6 5 4 3 4 5 5 5 5 5 5 6 5 5 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 3 4 4 4 5 5 5 5 5 5 6 7 7 5 5 18 23 15 11 8 5 5 7 4 2 2 4 6 7 8 8 7 7 6 5 5 5 6 8 10 10 11 14 17 18 16 13 11 10 11 9 9 13 10 6 1 4 8 9 6 3 2 3 8 9 6 4 8 7 0 -4 -1 2 11 8 1 4 8 10 12 9 7 4 -1 -2 1 5 7 8 7 7 11 7 8 8 6 0 -5 4 14 7 -6 -4 3 5 -1 -5 0 6 7 27 37 23 3 -6 1 12 15 14 13 11 8 6 7 7 7 11 17 15 5 4 7 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 3 2 3 4 5 6 6 5 4 3 4 4 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 5 5 4 3 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 2 2 2 2 2 2 3 3 2 2 2 2 3 4 4 4 4 4 4 4 3 2 1 4 4 1 -0 -0 -2 -3 1 4 5 5 5 5 4 4 5 5 6 5 5 5 5 7 10 11 7 5 4 3 4 4 5 5 5 4 4 5 6 8 8 7 6 6 6 6 6 6 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 7 6 6 5 5 5 5 5 6 6 6 6 7 6 6 7 8 9 8 8 8 7 8 7 6 4 3 3 3 3 4 5 6 6 5 5 5 4 4 4 6 6 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 3 2 2 2 1 1 1 1 2 2 1 1 2 1 2 2 3 5 7 7 6 4 4 3 4 5 7 8 10 12 12 10 8 8 7 7 8 9 9 8 8 8 7 7 6 5 5 4 3 3 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 5 4 3 3 4 4 4 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 6 8 8 6 3 6 22 26 16 10 8 6 5 3 -0 0 3 6 7 8 9 8 7 6 5 5 4 5 7 12 14 11 13 16 15 13 12 11 11 10 8 6 4 5 7 5 2 3 6 8 5 1 1 3 -0 -3 -0 3 13 22 15 7 2 -1 -1 -0 4 9 13 11 12 13 12 3 -2 1 5 8 8 6 4 4 6 6 4 1 -4 -5 -4 5 15 9 2 2 1 -5 -6 0 4 3 7 24 32 20 3 1 10 15 14 12 10 8 7 7 7 7 7 10 12 8 4 8 10 7 6 6 5 5 4 4 3 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 6 5 4 3 3 3 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 2 2 2 2 2 2 2 2 1 1 0 1 2 4 5 5 4 4 4 3 2 1 1 3 5 6 6 6 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 7 6 7 6 4 4 4 5 5 5 5 5 5 7 8 8 7 7 7 7 7 7 7 6 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 5 6 6 7 6 6 6 6 6 7 7 8 8 8 9 8 7 6 5 5 5 4 4 5 6 5 5 5 4 4 4 4 5 6 6 7 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 3 4 6 7 6 4 2 2 3 3 4 6 8 10 9 8 7 7 7 8 9 9 9 9 9 8 8 7 5 5 5 4 4 5 6 5 4 4 5 5 6 6 5 6 5 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 6 6 6 5 6 8 9 8 5 3 8 23 25 14 10 9 7 8 4 2 4 8 9 9 8 7 6 6 6 5 5 5 6 11 17 13 9 14 13 9 9 10 10 11 11 7 3 -4 -4 3 5 7 5 5 7 6 1 2 3 2 7 6 -3 2 13 13 14 10 1 -1 4 7 8 10 8 10 16 10 1 0 6 8 8 6 3 4 5 3 -1 -5 -6 -8 0 13 17 14 4 3 3 -1 -7 -3 6 4 3 13 22 21 14 8 9 15 15 12 10 8 6 7 8 7 6 6 8 9 7 6 9 15 12 6 6 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 2 3 2 2 1 1 0 0 1 2 4 5 6 5 4 4 3 1 0 1 2 4 6 6 6 7 5 1 2 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 6 6 5 5 4 5 5 4 5 5 6 7 8 8 7 7 8 9 10 9 8 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 4 5 5 6 6 7 6 6 6 5 6 6 7 7 8 9 9 8 7 7 7 7 6 5 6 7 6 6 5 4 4 4 3 3 3 5 6 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 3 3 3 3 1 1 1 1 1 1 2 2 1 1 2 4 6 7 6 4 3 3 3 2 3 4 6 7 6 6 7 7 8 10 11 11 11 9 9 9 8 7 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 6 5 4 4 4 5 5 6 6 6 6 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 6 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 6 6 6 5 5 8 10 10 7 4 3 11 24 22 12 10 9 8 11 11 15 14 12 9 7 5 5 5 5 5 5 5 6 11 19 20 10 9 13 10 9 10 10 10 10 9 5 1 -1 3 4 1 5 9 7 7 3 -0 5 3 10 23 11 -3 5 9 5 9 9 4 5 7 7 8 6 0 0 6 2 2 6 7 7 8 6 5 8 8 5 0 -2 -2 -2 6 14 14 10 5 5 6 3 4 6 7 8 13 18 17 10 6 9 15 18 15 10 9 7 5 6 8 6 4 5 8 7 6 6 10 17 15 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 4 4 5 4 4 4 4 5 5 6 6 6 6 6 6 6 7 6 6 5 4 4 4 5 4 4 4 4 4 5 4 3 3 3 3 4 4 3 3 3 3 2 1 1 2 1 2 3 5 7 6 5 3 1 1 -0 -2 -1 2 6 6 6 6 6 6 -1 -4 2 5 5 5 5 4 4 5 6 5 4 4 4 3 3 3 4 4 5 5 5 4 4 3 4 4 5 7 8 8 7 7 7 8 9 10 10 9 7 7 6 5 5 4 4 3 3 3 4 4 4 4 4 5 5 4 4 3 3 3 3 4 5 6 6 6 5 6 5 5 6 6 7 7 8 8 9 8 8 8 7 7 6 6 7 7 7 6 5 5 5 4 3 3 3 5 6 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 5 4 4 4 3 3 2 1 1 1 1 2 2 1 1 3 5 5 5 4 4 2 2 2 3 4 5 5 5 5 6 8 9 11 12 11 11 11 11 11 10 10 10 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 5 5 5 5 5 6 6 6 6 6 6 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 7 7 6 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 6 6 4 6 10 12 8 5 3 5 15 26 21 12 9 8 8 9 11 9 6 4 3 3 3 3 4 5 5 5 5 8 17 22 17 10 10 10 10 13 14 15 13 9 8 5 1 5 11 9 -1 1 7 8 3 -1 -1 5 5 14 25 10 3 13 10 2 2 4 6 9 7 7 8 2 -4 -2 -2 -3 4 9 7 6 10 12 12 12 11 9 6 4 3 1 4 9 3 -3 2 8 14 10 8 7 7 11 18 17 9 1 2 11 18 20 15 10 9 6 5 6 7 4 3 6 8 6 5 7 10 17 16 8 4 5 6 6 5 4 4 4 4 3 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 4 4 3 2 2 2 2 2 2 2 3 5 7 7 5 2 1 -2 -4 -3 -1 4 6 7 6 6 6 6 3 1 5 6 6 5 5 5 4 4 5 5 5 5 4 4 4 3 3 3 3 4 5 4 1 1 4 5 5 6 7 7 7 6 6 6 7 7 8 6 6 5 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 4 3 3 3 4 4 6 6 6 6 5 5 4 4 5 6 6 7 7 8 9 9 8 8 7 6 6 6 7 7 7 6 5 6 5 4 3 3 3 4 6 7 8 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 6 6 6 6 6 5 4 3 3 2 2 2 2 1 1 1 2 3 4 3 3 3 2 2 3 3 3 4 5 5 5 5 6 7 8 9 10 10 11 12 12 13 13 14 13 13 12 10 11 10 8 8 7 6 6 6 7 7 7 6 6 5 6 6 6 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 8 12 11 6 4 5 11 24 30 20 11 7 5 5 1 -2 -11 -11 -5 -0 2 2 3 2 4 5 5 5 11 20 20 12 9 8 7 10 13 15 19 18 11 10 8 4 5 8 10 2 -0 8 11 4 -1 1 4 8 14 18 4 11 17 9 1 -1 1 8 10 7 6 5 0 -1 2 -1 -1 3 9 10 10 13 14 14 14 13 11 6 5 7 6 10 15 4 -4 -1 6 12 10 8 9 9 14 16 10 -0 -2 6 13 18 20 15 11 8 6 5 6 6 4 4 7 7 5 5 6 11 18 18 9 4 4 6 7 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 2 3 3 4 5 5 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 5 8 7 4 2 1 -0 -1 1 3 6 6 6 7 7 6 6 7 7 7 6 6 6 6 5 4 4 4 5 6 5 4 4 4 4 4 4 3 4 6 7 5 3 4 5 6 6 6 6 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 6 6 6 5 4 4 4 4 4 5 6 6 7 8 9 9 9 8 7 6 6 6 6 6 6 6 6 7 6 4 3 2 3 5 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 7 7 7 6 7 7 7 7 6 6 5 4 3 3 2 2 2 1 1 2 2 3 3 2 1 1 2 3 3 4 4 4 3 3 3 4 6 6 7 8 8 9 9 10 11 12 12 13 14 15 14 12 9 6 4 4 5 6 7 7 7 7 6 6 6 6 6 7 7 7 6 5 5 4 4 4 3 4 4 4 4 4 5 5 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 11 12 8 4 4 11 24 37 33 17 9 3 -2 -1 -7 -15 -17 -13 -4 1 3 2 2 1 3 4 5 6 11 18 18 12 8 6 6 6 8 11 16 17 11 11 11 7 6 6 11 6 0 5 7 6 3 3 3 10 14 9 7 16 15 8 1 -2 2 9 8 6 5 3 0 0 1 -0 2 5 10 13 11 12 10 11 11 11 11 6 4 11 16 16 12 3 1 7 9 4 4 9 14 15 14 11 2 -2 4 11 11 15 16 13 11 8 6 5 6 6 5 6 7 6 5 4 6 12 20 19 8 3 4 6 8 6 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 3 2 2 4 5 5 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 6 7 7 7 8 7 7 6 6 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 6 8 6 4 2 3 4 5 6 7 7 6 6 6 7 6 5 9 6 1 6 7 7 6 6 5 4 4 5 6 5 5 4 4 4 5 5 5 5 6 10 10 6 5 6 6 7 7 5 5 4 3 3 3 2 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 7 6 5 5 4 4 4 4 4 5 5 6 6 7 9 10 9 8 8 7 7 6 6 5 5 6 8 8 6 4 3 3 4 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 7 6 5 4 4 3 2 1 1 2 2 2 2 1 1 1 2 3 4 5 4 2 2 2 2 3 4 4 4 4 4 4 4 5 6 8 10 14 16 16 14 10 6 4 3 4 5 7 8 8 8 7 6 6 6 6 6 7 6 6 5 5 4 4 4 4 3 4 4 4 5 5 5 6 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 10 12 10 6 7 13 22 36 41 28 12 3 -5 -9 -8 -15 -17 -10 -2 3 4 3 1 1 1 2 3 5 6 8 13 17 15 11 9 8 7 5 5 9 11 9 10 12 13 8 11 13 10 9 6 1 2 4 6 8 14 9 1 12 12 2 2 1 0 5 8 6 4 4 3 1 -0 -1 1 5 10 12 11 8 9 11 13 7 5 7 6 5 10 17 19 9 5 6 13 15 3 -1 6 11 9 13 9 0 5 16 14 10 13 13 11 9 8 7 6 6 7 8 7 6 5 5 5 8 18 23 16 6 3 3 6 8 7 5 4 4 4 5 4 4 3 4 4 3 4 4 4 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 3 2 2 3 4 4 4 4 2 2 2 4 5 5 4 3 3 2 3 3 4 3 3 3 3 3 4 4 3 4 4 4 5 5 4 5 5 5 5 5 5 6 6 6 7 7 7 8 7 7 6 6 5 5 5 4 4 4 4 4 5 5 5 4 3 5 5 4 4 4 4 3 3 4 4 2 3 4 7 8 6 4 2 4 5 6 7 7 7 7 6 6 6 6 6 10 11 6 7 8 7 7 7 6 5 4 4 5 5 5 4 4 5 5 6 6 5 5 7 5 2 5 7 7 8 8 7 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 5 6 8 7 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 7 8 8 8 8 8 8 8 7 6 6 6 6 7 8 7 6 4 3 4 5 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 6 5 3 2 2 1 2 3 2 2 2 2 2 3 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 7 9 12 13 12 10 7 5 3 4 5 6 7 8 8 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 6 6 7 6 5 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 8 12 11 8 8 14 22 27 29 29 21 9 0 -8 -9 -12 -15 -7 4 10 9 5 1 -1 -1 0 2 3 4 6 7 9 16 20 16 14 15 11 5 2 7 8 7 7 14 16 8 11 14 16 9 8 5 1 -0 4 9 10 5 8 16 5 -0 3 4 4 5 7 6 5 5 4 3 2 1 2 8 16 9 5 11 13 12 12 1 -2 3 5 6 8 10 10 13 14 7 7 11 7 3 3 6 7 10 2 0 15 25 16 10 12 11 10 8 7 8 8 7 8 9 7 6 5 5 5 12 22 22 10 3 2 4 6 8 8 6 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 3 3 4 3 3 3 3 2 3 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 5 5 5 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 8 8 6 2 1 1 3 5 7 7 6 6 7 7 6 6 6 9 10 9 8 7 7 8 7 7 6 5 4 3 5 5 5 5 6 6 6 6 5 5 5 3 -1 3 6 7 8 8 7 8 9 8 7 5 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 5 4 5 5 4 4 4 4 5 6 7 8 7 5 5 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 7 7 6 6 6 6 8 8 6 4 4 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 6 6 6 7 7 7 7 7 7 8 9 9 10 10 10 9 7 6 5 4 3 3 3 3 3 3 3 3 3 5 5 4 3 3 3 4 4 3 4 4 4 5 5 4 4 3 3 4 5 7 8 9 8 7 5 5 4 5 6 7 8 8 8 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 6 7 7 6 5 3 3 3 4 4 3 4 4 4 5 4 5 4 4 4 4 5 4 4 5 7 10 12 11 10 14 18 22 22 17 12 9 7 5 0 -2 -10 -8 3 11 10 6 1 -2 -2 -2 -0 1 2 4 6 7 10 20 24 17 14 17 14 8 4 5 6 5 7 13 11 9 5 6 10 6 13 12 2 -0 3 5 2 10 25 19 2 6 7 9 6 5 5 7 10 10 7 5 5 5 2 7 15 1 -2 10 10 15 9 -2 -2 2 5 7 8 9 6 5 7 6 5 8 11 9 3 1 15 9 -0 7 23 25 16 11 11 11 9 8 8 9 9 7 8 8 7 6 5 5 7 16 24 18 6 3 3 4 6 8 8 6 5 4 4 4 4 4 4 4 4 3 4 5 4 4 4 6 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 2 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 5 5 4 4 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 7 8 8 4 -2 -7 -4 2 5 6 6 6 6 7 8 7 6 6 9 8 3 6 7 7 7 8 7 6 5 4 1 0 2 2 3 4 5 6 7 6 6 7 9 7 3 5 6 7 6 6 8 9 10 10 7 5 4 4 4 4 4 5 5 4 4 4 5 5 6 6 6 7 6 6 5 5 5 5 5 5 6 8 9 7 6 5 6 7 7 6 6 6 6 6 6 6 5 5 5 4 6 6 6 6 7 8 8 7 7 7 7 6 6 7 8 8 6 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 5 5 6 6 6 6 6 6 6 7 8 10 10 10 10 10 9 8 7 7 5 5 4 3 4 4 3 3 4 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 5 5 5 6 7 7 6 5 4 5 5 6 7 8 8 8 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 5 8 9 11 12 13 15 14 11 16 22 18 7 4 11 14 10 -0 -11 -8 1 4 2 -0 -2 -3 -3 -2 -1 1 2 4 8 11 19 26 23 14 12 14 15 11 5 2 2 5 10 9 5 9 8 7 3 9 12 7 -0 4 8 5 -1 6 15 10 4 8 8 7 7 6 4 6 13 16 11 7 7 6 3 4 9 -1 -2 5 2 13 8 6 4 3 9 10 8 7 5 -0 1 5 10 12 13 7 -1 0 10 8 13 22 24 18 13 12 11 9 9 9 9 9 7 7 7 6 5 5 5 6 10 19 23 14 5 4 4 4 6 7 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 5 4 4 3 3 4 5 5 6 6 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 5 6 7 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 6 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 8 9 8 1 -6 -9 -3 3 5 5 5 6 7 8 9 7 6 6 8 8 3 4 7 7 7 8 7 6 5 5 5 1 -2 -1 -0 -0 1 4 8 8 9 7 10 12 6 5 5 4 4 4 5 7 9 9 8 6 5 4 4 4 4 4 4 4 4 5 6 7 8 8 8 8 7 6 6 5 5 6 6 6 7 8 9 8 6 5 6 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 8 7 6 6 6 7 8 7 6 5 5 7 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 4 5 5 5 4 5 6 6 8 8 9 10 10 10 9 9 8 7 6 5 5 5 4 4 4 5 5 6 6 6 6 6 5 3 2 2 2 3 3 3 4 4 5 5 5 5 5 6 5 6 7 6 5 5 4 4 5 6 8 8 8 7 7 6 7 6 6 5 5 5 5 4 4 4 5 5 5 6 5 6 6 6 5 5 5 5 4 3 3 3 3 4 5 4 4 4 4 5 5 5 5 5 6 11 15 16 14 14 16 14 7 3 11 24 25 14 8 9 10 2 -11 -18 -12 -5 -3 -3 -3 -3 -2 -2 -0 1 2 4 12 19 20 23 21 17 15 13 12 15 13 7 4 3 5 7 7 4 -0 1 4 2 8 4 -2 -2 7 12 8 -1 -4 -1 5 9 3 4 3 5 7 5 6 13 16 14 9 9 9 5 3 3 1 6 8 -1 2 -2 5 7 8 15 12 7 2 -0 4 9 7 10 17 17 7 -1 10 5 2 20 24 18 11 10 12 11 9 9 9 8 7 7 7 7 6 5 4 5 7 11 19 22 11 4 5 4 4 5 7 8 7 5 4 4 4 3 4 4 4 4 5 4 3 3 4 5 6 6 6 5 4 4 4 4 3 4 4 4 4 3 4 5 5 6 7 7 7 6 5 5 5 5 5 6 5 4 4 3 3 3 3 4 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 6 5 5 4 4 5 5 7 10 11 7 1 -3 -1 3 4 4 5 5 6 8 10 11 8 6 5 8 10 10 8 7 7 8 7 7 6 6 8 11 10 6 5 6 7 7 10 10 10 10 10 10 7 6 5 5 5 4 3 4 4 6 7 8 7 5 5 5 4 4 4 4 4 5 6 6 7 8 8 7 7 6 6 6 6 5 5 6 6 7 8 10 9 6 5 6 7 7 6 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 5 6 7 7 7 8 7 7 7 7 7 8 7 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 2 1 1 2 4 4 5 4 4 4 4 4 4 5 7 8 9 9 9 8 8 8 7 7 6 6 6 6 5 5 6 7 7 7 7 6 4 3 3 3 2 2 2 2 2 3 3 4 5 5 6 6 6 6 6 5 6 6 5 4 5 6 7 8 8 8 7 7 8 8 8 6 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 4 3 3 3 4 5 5 5 4 5 5 5 5 5 7 13 21 24 22 17 13 13 11 2 0 7 18 15 8 -1 -7 -12 -16 -20 -17 -9 -4 -3 -3 -1 -0 1 2 3 4 5 12 23 25 20 16 12 13 18 15 13 15 13 8 8 6 3 2 7 4 -6 -3 1 -1 -1 -2 0 2 6 11 6 1 0 3 7 6 1 3 3 2 6 6 6 10 13 15 15 14 13 8 4 3 5 9 7 1 -0 -1 2 4 7 15 14 9 3 3 12 13 6 3 14 22 12 2 12 8 6 20 21 14 8 8 11 11 9 9 9 7 6 7 8 7 5 4 4 5 7 11 18 22 12 5 5 5 4 5 6 8 7 5 4 4 4 4 4 5 5 4 5 5 3 4 4 5 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 5 6 7 7 6 6 6 7 6 6 6 6 6 5 4 4 3 3 3 4 5 5 5 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 6 7 7 7 6 7 6 6 6 6 5 4 4 4 5 5 5 5 6 6 5 4 3 4 5 7 10 12 9 3 -3 -2 2 4 5 4 4 4 6 9 11 12 9 6 5 9 15 17 10 6 7 7 7 7 6 6 8 10 12 14 13 14 15 16 13 9 8 9 12 10 6 6 6 6 6 5 4 4 3 4 6 7 7 6 6 5 5 5 5 5 5 6 6 7 6 6 6 6 5 5 6 6 6 6 5 5 6 7 9 10 9 7 6 6 6 6 6 6 6 6 6 5 6 7 6 6 6 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 17 24 21 15 12 14 18 19 12 8 16 19 19 16 15 14 13 12 18 25 27 23 16 10 2 -6 -4 -1 2 5 4 3 -1 -3 -1 5 6 12 18 22 22 21 20 20 18 13 10 8 9 13 16 16 13 13 15 13 13 13 14 14 14 14 16 19 16 14 13 11 10 9 10 11 13 14 15 15 16 16 14 11 9 9 10 11 12 13 14 14 15 15 15 14 14 13 13 13 13 11 10 12 13 14 14 15 15 14 12 11 10 10 10 7 4 5 11 16 14 12 13 13 12 12 10 9 8 9 13 15 14 13 13 13 13 14 13 11 11 12 13 13 12 12 11 11 11 13 12 11 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 9 10 10 10 11 12 11 11 11 11 11 11 11 10 9 10 11 12 13 13 13 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 12 13 12 12 11 11 12 12 12 12 12 11 11 10 10 11 12 12 13 12 11 10 9 10 11 12 12 11 11 12 13 13 12 11 10 11 12 12 12 11 10 9 9 10 12 13 13 12 11 12 12 12 13 13 13 13 13 12 11 11 11 14 15 14 13 11 11 12 12 11 11 10 11 10 10 11 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 10 7 4 6 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 11 12 12 12 13 13 12 12 12 12 13 13 12 12 12 12 12 11 11 12 12 11 12 12 11 11 12 12 12 13 13 12 13 12 12 11 11 12 13 13 12 11 12 13 15 16 17 17 15 13 14 14 13 13 13 12 12 13 13 14 15 14 12 7 4 9 11 11 11 11 10 8 8 9 8 8 9 9 12 13 17 19 20 20 17 15 13 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 13 12 13 13 14 14 13 12 12 13 14 17 20 20 16 12 12 12 12 12 12 12 12 12 11 9 10 11 13 15 15 15 14 14 13 13 13 14 14 15 16 16 17 17 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 3 3 10 16 16 13 7 6 9 12 15 21 25 18 8 6 7 12 14 10 5 7 12 15 15 11 8 3 9 17 24 27 26 21 17 15 11 7 7 8 9 12 16 17 12 10 10 10 13 15 17 17 16 13 12 9 7 7 8 8 9 10 12 13 14 15 16 16 15 16 15 13 11 11 12 16 19 21 22 22 21 20 20 20 18 15 12 11 10 8 6 6 7 9 11 13 15 15 14 14 13 11 11 9 8 8 11 15 13 11 12 13 14 15 15 14 12 13 15 15 14 13 13 13 13 13 12 12 12 12 11 9 9 9 11 12 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 9 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 9 8 9 11 15 17 14 13 12 12 12 11 11 11 11 11 12 12 11 11 10 11 12 11 12 12 11 12 12 12 11 12 12 11 11 11 11 10 10 11 12 13 12 11 9 9 10 11 12 12 11 12 11 11 12 13 13 12 12 12 12 12 11 10 8 9 12 14 13 13 12 12 12 12 12 13 13 13 13 13 12 11 11 12 13 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 12 11 12 12 11 12 11 12 12 11 12 11 11 11 12 12 13 12 11 8 9 10 8 8 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 12 11 11 12 12 13 13 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 12 12 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 12 11 10 9 9 10 11 14 14 14 13 12 11 11 13 14 14 15 15 15 11 6 6 10 12 11 11 11 10 8 8 8 8 9 10 12 15 18 19 18 14 13 12 12 12 12 11 12 12 12 13 13 13 12 12 12 12 13 13 12 13 12 13 14 14 14 13 13 13 14 14 13 13 14 13 12 13 15 18 19 18 14 13 12 12 11 12 14 14 14 12 10 9 11 13 14 16 16 15 15 13 13 13 13 14 14 15 16 17 18 18 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -5 -2 7 14 19 16 11 3 4 15 30 27 7 5 8 15 18 16 12 10 11 18 23 26 27 22 16 13 11 6 4 5 8 10 13 17 17 14 10 7 7 10 15 17 17 13 10 12 10 9 8 8 7 8 11 14 15 13 13 13 13 15 16 17 17 16 16 16 17 17 17 18 19 18 17 17 19 18 16 12 10 8 7 5 5 5 8 9 11 12 14 16 16 16 14 13 13 11 10 11 13 14 15 16 16 17 17 17 18 17 16 17 15 14 14 13 13 12 11 12 13 12 11 9 7 7 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 10 11 11 10 10 9 9 8 8 12 16 16 16 15 13 12 12 11 11 10 11 11 12 12 11 12 12 11 11 11 11 11 11 11 10 11 12 12 12 12 12 11 10 10 11 12 13 13 12 10 9 8 10 12 13 13 12 11 10 11 12 12 11 11 12 13 14 13 11 10 10 11 13 13 14 15 14 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 11 11 12 12 12 12 12 11 11 12 11 12 11 11 11 11 12 12 12 11 10 10 6 6 11 13 13 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 13 13 13 14 15 14 13 13 13 13 13 13 13 12 12 12 13 12 12 13 12 12 12 13 14 13 14 14 14 13 14 14 13 12 13 14 14 13 14 15 16 15 14 11 8 5 3 5 8 11 13 13 14 13 13 13 13 14 14 15 16 17 17 15 12 10 9 12 13 13 12 11 10 9 9 10 10 11 11 12 13 13 12 11 11 11 12 13 13 14 14 14 14 14 13 12 12 11 12 13 13 13 12 12 13 14 14 15 15 14 13 13 14 13 13 13 14 13 13 15 17 19 18 14 12 12 13 13 13 14 14 14 12 11 11 12 13 14 15 15 15 15 13 12 12 13 13 13 14 14 14 16 17 17 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 12 8 17 29 19 8 7 9 10 9 6 5 7 16 22 24 21 18 13 9 7 7 6 7 9 12 14 15 17 17 16 12 9 7 7 9 11 12 8 11 14 13 11 8 7 8 9 12 13 12 11 10 10 12 14 16 18 19 18 15 14 12 10 8 8 9 9 9 11 14 15 14 11 9 8 7 6 6 7 8 9 11 12 14 17 18 18 18 17 16 14 12 9 8 10 14 15 14 14 15 15 16 17 17 15 14 14 13 13 13 12 12 11 11 10 9 8 8 9 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 11 11 10 10 10 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 9 8 8 9 11 14 15 17 16 14 12 12 12 10 11 11 11 11 12 13 13 12 11 11 11 11 11 10 10 10 11 12 12 12 12 13 13 12 12 12 12 12 13 12 10 9 10 12 13 14 13 12 10 11 12 11 11 11 12 13 14 15 14 11 10 9 10 12 13 14 14 13 13 12 12 12 13 13 14 14 13 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 13 12 11 10 8 8 9 9 9 11 13 13 12 11 11 11 12 11 11 12 11 11 11 11 12 12 11 11 12 12 12 12 12 12 13 13 15 15 14 14 12 12 13 13 13 12 13 13 13 13 13 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 15 16 18 19 19 17 14 11 9 9 11 12 14 14 13 14 14 13 14 15 15 15 16 16 17 18 17 14 13 12 13 12 12 13 12 12 11 12 11 11 11 11 11 10 11 11 10 11 12 13 13 14 15 15 14 14 13 12 13 13 12 13 14 14 13 12 13 15 15 15 14 14 13 12 12 12 12 12 13 12 13 15 16 17 18 17 13 12 13 14 14 14 15 15 14 13 12 13 14 14 14 15 15 14 14 13 12 13 13 13 13 13 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 6 7 10 16 20 21 19 13 9 6 4 4 5 7 11 13 16 17 17 17 15 14 13 12 9 7 6 6 7 8 11 13 13 11 9 10 11 13 14 13 12 11 12 14 15 16 16 17 17 15 12 10 8 6 4 4 5 7 8 9 12 14 14 12 9 8 9 10 10 11 12 14 15 16 16 14 15 18 19 18 18 17 14 12 10 10 9 7 6 8 11 11 12 14 13 12 13 13 14 14 14 12 11 11 10 9 10 10 10 11 12 12 11 10 10 11 12 12 11 11 11 11 11 10 9 10 11 12 11 10 9 9 10 11 10 10 11 11 12 12 12 11 10 10 10 10 10 10 9 10 10 10 11 11 11 11 10 9 7 7 10 12 18 19 15 13 12 11 11 11 11 11 12 12 12 13 13 12 11 11 11 12 11 10 9 9 11 12 11 11 13 14 14 14 14 12 12 12 12 11 11 11 12 12 12 12 12 11 11 12 12 12 12 11 11 12 14 14 12 10 8 9 9 10 12 13 13 12 12 12 12 14 13 14 15 14 14 13 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 12 11 12 13 13 12 12 12 13 13 14 13 12 10 10 9 9 9 9 10 11 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 11 11 12 13 12 12 12 12 12 13 13 14 14 13 13 13 13 12 12 13 13 13 14 14 14 14 14 14 14 15 16 15 16 15 15 15 15 14 15 15 14 15 15 16 17 18 19 19 18 17 17 16 15 15 15 15 15 14 14 14 15 14 15 15 15 16 16 17 18 20 20 16 13 13 13 12 13 13 12 12 12 12 11 11 10 11 10 10 10 11 12 12 13 13 13 14 14 14 13 13 13 12 14 15 15 15 16 15 14 13 15 15 15 14 13 12 12 13 13 12 12 12 12 12 13 15 17 16 16 14 14 13 13 13 13 14 14 15 13 12 12 13 14 14 14 15 15 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 7 6 6 9 11 11 12 14 16 17 15 13 10 11 13 14 13 9 7 7 10 12 15 15 13 13 15 17 18 18 16 14 14 16 19 18 17 13 13 14 10 9 8 8 7 4 3 4 6 8 10 13 15 16 15 14 13 12 13 15 18 20 20 20 19 16 10 9 14 17 18 18 18 17 16 15 13 12 10 8 8 9 9 13 16 13 9 9 10 12 13 13 11 10 10 11 11 11 12 12 12 12 12 11 10 10 11 11 12 11 12 12 11 10 10 10 10 10 11 11 10 9 9 10 11 11 11 11 11 13 13 13 12 11 10 10 10 9 9 9 9 10 10 10 11 12 12 12 11 9 8 6 7 14 19 17 15 13 12 11 11 11 11 12 12 12 13 12 12 11 12 12 12 12 9 8 7 9 12 11 10 11 12 13 15 15 14 11 10 10 11 12 12 12 11 12 11 10 10 11 11 11 12 11 11 11 11 13 13 12 11 10 9 8 8 9 11 11 12 12 12 13 14 14 14 15 16 15 14 14 13 14 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 13 13 13 13 13 11 10 10 12 12 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 13 13 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 16 15 15 17 17 17 15 14 13 14 14 14 15 15 15 15 14 15 15 15 15 15 14 15 14 15 15 16 19 22 23 21 18 16 12 11 11 11 12 12 11 11 10 10 10 9 9 9 10 11 12 13 13 13 13 12 12 13 13 14 14 15 15 16 16 15 15 15 13 13 14 14 13 11 11 12 13 13 12 12 13 14 13 12 12 14 15 14 14 14 14 12 10 10 12 13 13 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 5 5 4 5 5 5 4 4 4 5 5 5 6 8 12 19 26 33 38 40 39 38 36 34 32 26 19 17 16 12 6 2 1 0 0 0 0 0 2 3 3 3 3 3 3 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 3 3 3 2 2 2 2 2 2 3 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 6 4 2 2 4 7 9 10 15 21 23 21 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 32 42 51 58 59 57 57 59 60 64 71 79 90 104 112 110 114 127 136 135 126 116 113 114 113 109 107 106 105 101 94 87 83 83 83 83 80 76 74 73 72 72 70 63 53 48 48 37 34 37 25 26 23 18 12 5 0 0 1 0 0 0 0 0 1 11 21 22 26 38 34 6 0 9 27 45 47 48 57 63 74 88 102 116 123 121 116 115 110 103 101 107 99 84 82 99 118 128 131 128 123 121 120 120 120 129 134 138 144 147 148 149 146 141 135 137 138 134 127 116 110 110 112 114 113 105 103 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 4 4 4 4 4 4 4 4 4 4 4 6 8 12 18 25 29 32 32 32 30 29 25 19 16 15 13 8 3 0 0 0 0 0 0 0 2 3 4 3 3 1 1 2 2 2 2 2 2 1 1 2 2 2 3 3 3 3 2 3 3 2 1 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 6 1 0 0 0 0 0 1 1 1 8 18 20 19 15 5 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 27 38 49 57 61 58 52 50 52 55 59 67 76 90 106 115 112 113 126 138 139 129 114 104 101 100 99 98 101 102 99 94 88 85 84 82 77 71 66 60 52 51 53 45 37 30 27 25 19 15 15 9 16 16 13 14 12 12 3 8 8 14 3 0 0 1 2 7 4 12 25 33 6 3 12 31 41 34 15 19 29 46 64 90 114 123 123 119 115 113 114 116 122 122 118 122 129 130 125 122 118 117 119 122 126 130 139 144 146 147 144 136 134 133 130 130 136 137 136 132 120 111 112 115 117 118 114 109 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 5 9 14 19 22 24 26 25 25 25 20 16 15 12 9 3 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 1 1 1 1 0 0 0 0 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 4 0 0 0 0 0 0 0 0 0 3 12 16 14 9 2 0 0 0 0 0 0 0 0 0 0 2 6 11 15 21 30 41 51 57 58 56 50 45 45 49 56 64 76 90 107 115 111 110 120 135 143 136 117 100 92 90 89 89 90 90 89 87 85 85 84 81 75 68 62 52 30 28 28 25 25 16 17 11 11 14 8 2 1 5 8 17 13 26 25 28 23 29 30 25 36 24 20 31 37 45 42 32 16 24 35 40 39 29 12 3 11 38 62 86 113 122 123 121 118 115 113 114 119 124 127 130 128 123 116 114 112 113 116 118 121 122 125 132 133 132 128 124 122 125 129 136 139 138 134 130 123 117 118 122 124 127 131 128 118 112 nan nan nan nan nan nan nan nan nan nan 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 5 4 4 3 2 1 1 1 2 4 4 4 3 2 2 2 4 7 12 17 19 20 18 18 23 22 18 14 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 2 0 0 0 0 0 0 0 0 0 0 0 5 3 0 0 0 0 0 0 0 0 0 1 2 5 15 23 24 22 24 31 42 52 57 56 53 48 42 42 51 61 67 78 93 108 113 107 105 113 127 140 142 127 107 92 85 83 81 78 74 70 68 71 74 75 74 71 64 56 47 29 22 18 14 17 4 4 2 3 1 4 2 0 0 2 11 31 40 39 37 20 15 23 37 58 66 64 71 80 73 55 42 38 47 51 42 28 17 12 23 56 85 96 101 111 114 117 119 118 115 111 111 114 121 125 125 125 123 121 118 116 116 119 124 124 122 123 125 126 125 123 122 121 125 128 130 131 130 127 123 121 123 126 130 132 133 140 144 137 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 10 9 8 6 5 3 1 0 0 0 1 1 1 2 2 1 1 1 2 5 9 9 8 9 11 17 21 20 15 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 4 7 14 25 31 31 27 27 32 41 50 53 53 52 50 44 42 54 68 75 82 96 108 107 100 99 106 115 129 140 137 121 102 90 83 78 71 61 50 38 46 48 53 57 57 49 45 35 17 9 3 0 4 1 0 0 0 0 0 0 0 0 0 2 18 25 28 27 9 1 4 9 26 50 66 80 84 76 55 38 47 53 62 63 43 18 16 64 106 123 119 107 105 105 110 115 116 114 110 110 113 115 120 122 122 123 124 122 120 121 123 126 129 128 126 125 125 124 123 121 122 124 124 122 123 122 118 116 114 117 124 129 132 136 145 153 152 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 12 12 10 9 8 5 3 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 8 15 18 16 14 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 8 3 0 0 0 2 6 11 21 30 30 28 28 33 40 44 42 40 43 45 42 44 56 69 75 83 95 103 98 90 92 99 105 113 127 138 134 118 104 93 85 77 64 48 29 22 22 28 34 32 26 24 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 3 4 1 0 0 0 5 14 30 50 65 69 59 46 56 58 82 111 104 82 64 102 124 124 117 109 104 102 103 109 113 113 110 110 111 112 114 116 118 121 123 120 117 118 120 122 124 125 121 116 112 111 114 116 117 119 118 115 114 111 108 106 108 107 108 114 117 125 140 152 158 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 11 13 13 13 12 10 8 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 16 18 16 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 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 1 7 12 16 9 1 0 0 0 2 5 9 14 17 19 24 32 40 40 33 25 24 26 35 48 59 67 72 80 92 96 87 78 82 90 96 100 108 121 130 128 119 110 100 91 78 61 41 25 21 19 20 16 13 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 38 55 75 87 101 92 112 140 157 153 131 134 129 119 113 111 107 101 100 103 107 112 111 110 111 113 114 114 115 116 117 114 111 112 115 116 117 117 112 104 98 96 98 103 109 113 111 104 100 98 96 95 98 97 95 94 98 107 120 133 146 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 6 9 12 14 14 11 9 8 7 7 6 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 18 23 20 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 15 13 4 1 0 0 0 1 1 2 4 6 13 24 32 34 29 14 8 8 17 40 56 61 64 74 86 89 80 69 70 78 86 89 92 99 108 116 119 117 113 106 95 78 59 43 29 22 19 15 11 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 2 19 44 76 104 126 127 139 142 153 158 161 161 143 130 123 116 105 97 96 98 100 105 108 110 111 114 116 116 114 111 109 107 107 109 111 111 110 109 104 96 92 88 86 89 98 106 105 97 91 88 89 89 90 89 88 85 86 92 101 110 123 142 153 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 2 1 4 9 14 15 13 9 7 6 7 7 7 8 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 20 23 20 15 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 13 19 18 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 6 4 0 0 0 0 0 0 0 1 5 13 20 25 21 6 1 1 5 40 54 54 53 63 78 83 77 67 62 65 71 76 79 81 86 93 100 106 110 110 105 94 77 58 38 27 23 20 14 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 14 45 75 104 126 132 130 130 130 135 142 152 157 155 151 141 122 103 95 96 98 99 101 106 110 114 117 117 115 108 105 102 103 107 106 102 100 98 95 91 90 87 83 84 91 101 105 102 96 92 92 92 93 95 96 93 91 92 94 97 106 121 132 nan nan nan nan nan nan nan nan 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 2 7 12 16 14 9 6 6 6 6 7 10 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 16 18 17 15 12 7 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 1 3 6 12 20 25 24 18 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 1 2 7 12 14 10 2 0 0 1 33 45 37 31 43 62 74 74 66 58 55 56 58 61 64 67 72 78 85 92 97 99 96 83 63 43 30 24 21 11 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20 50 76 99 119 128 125 119 116 115 118 124 134 146 157 162 155 130 108 102 103 99 98 99 102 110 114 115 116 112 109 106 104 106 104 100 96 94 91 90 91 90 86 85 90 96 102 106 106 102 101 99 99 104 109 110 107 103 99 96 100 110 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 1 1 5 10 13 12 8 5 5 4 4 6 10 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 8 12 10 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 17 21 23 25 23 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 3 1 5 4 2 0 0 0 0 14 23 14 7 16 37 55 63 62 56 49 44 42 42 43 46 52 59 66 72 78 80 79 72 61 49 34 23 16 7 0 1 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 24 45 66 87 104 114 116 115 112 108 106 104 107 116 133 150 162 156 137 121 113 106 104 105 103 104 107 109 111 113 112 110 109 107 106 106 105 101 97 93 94 94 92 90 93 95 99 104 108 109 108 107 108 111 116 123 125 120 108 100 100 106 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 1 3 6 8 8 6 4 4 4 4 5 7 6 3 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 9 8 7 5 4 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 1 2 3 8 12 16 16 16 23 24 18 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 12 29 42 49 49 45 39 33 29 26 26 32 40 48 55 60 62 60 56 51 42 30 19 9 4 3 3 4 7 5 4 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 19 33 47 63 79 92 102 108 109 106 102 97 95 97 106 123 144 161 159 143 128 118 114 112 110 106 104 104 105 109 110 109 109 108 108 108 110 109 105 99 96 96 96 95 95 95 98 104 110 113 112 112 114 117 121 129 136 136 124 110 103 103 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan 2 2 2 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 8 13 12 7 3 2 4 9 12 12 9 4 0 0 0 1 2 4 8 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 6 5 8 15 23 27 25 20 18 14 8 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 22 17 13 11 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 9 8 7 6 7 14 21 24 20 10 1 0 0 0 3 8 22 48 70 68 47 26 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 19 39 58 66 71 76 82 87 96 112 127 135 136 137 137 136 133 128 122 119 117 114 112 111 112 116 118 119 118 116 115 113 118 122 123 122 120 122 122 118 110 110 119 132 143 141 134 143 164 179 180 165 nan nan nan 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 7 7 6 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 4 9 12 8 2 0 2 8 13 15 13 7 2 0 0 0 0 1 5 8 8 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 1 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 2 2 0 1 8 8 10 16 24 29 27 21 17 14 7 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 4 13 22 23 17 14 11 10 8 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 2 5 7 7 8 10 14 19 20 19 16 9 3 1 1 0 0 0 3 9 26 41 46 37 19 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 38 52 60 66 74 80 85 95 110 128 136 138 140 142 143 140 136 132 128 124 120 117 114 116 118 120 120 121 124 128 131 132 129 126 123 125 129 130 124 118 120 129 142 150 152 154 157 164 174 168 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 12 14 14 11 8 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 8 2 0 1 5 13 18 17 12 5 1 0 0 0 1 4 8 10 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 8 10 13 17 24 28 29 24 17 14 7 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 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 3 2 0 0 2 6 13 18 19 17 14 11 10 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 19 23 26 21 19 18 16 13 8 7 5 1 0 0 0 3 14 30 37 23 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 30 43 52 61 67 70 76 91 112 132 142 146 151 150 146 144 142 137 133 129 126 120 117 114 114 115 120 127 134 138 139 134 125 120 120 128 135 137 133 128 129 138 150 159 158 148 146 154 164 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 7 10 13 14 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 2 0 0 2 10 18 19 14 8 2 0 0 1 3 6 8 11 12 10 5 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 1 1 1 1 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 1 1 3 9 11 15 20 26 30 30 26 20 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 2 6 10 15 17 15 12 9 8 7 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 22 24 24 20 18 18 17 17 17 15 12 6 1 0 0 0 3 14 24 16 7 1 0 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 13 28 40 47 51 54 59 71 93 118 139 153 162 160 152 148 147 145 142 136 133 128 122 114 109 110 117 126 134 139 142 140 130 120 120 124 135 143 140 133 129 133 143 152 151 138 128 132 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 1 2 4 7 9 9 5 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 7 12 13 10 5 2 0 0 1 3 4 6 8 11 12 10 6 3 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 15 21 26 30 32 30 28 21 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 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 2 5 5 6 9 10 10 9 7 5 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 18 21 21 18 15 13 12 10 11 11 12 11 5 1 0 0 0 1 5 11 11 8 4 2 2 2 3 5 3 0 1 0 0 0 0 0 0 0 0 0 0 0 4 16 32 43 45 48 53 60 75 102 130 152 165 165 159 152 150 152 152 147 140 134 128 119 110 105 111 121 130 136 139 144 139 127 125 126 134 140 138 132 128 130 139 149 152 143 130 125 131 133 nan 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 2 3 6 5 1 0 1 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 1 1 2 4 3 2 1 0 0 0 0 1 1 2 4 6 8 8 6 4 4 4 5 6 3 1 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 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 4 11 18 27 31 34 33 32 29 23 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 1 4 5 2 4 4 5 6 6 5 3 2 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 12 13 13 11 8 5 1 0 2 2 3 3 1 0 2 4 2 1 3 8 8 8 6 5 6 5 6 6 5 7 9 4 0 0 0 0 0 0 0 0 0 0 0 1 5 36 42 49 58 66 78 94 117 139 152 154 150 143 140 145 153 156 151 142 137 131 120 106 104 114 124 132 137 143 144 138 134 132 135 137 135 128 124 127 137 152 164 165 156 146 136 118 nan 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 6 9 6 3 3 3 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 1 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 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 2 11 20 28 31 34 34 37 33 25 16 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 1 4 5 5 5 5 5 6 6 5 3 2 2 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 1 0 0 0 0 0 0 2 4 8 12 14 11 6 10 16 12 8 7 7 7 7 7 7 8 12 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 11 24 47 62 75 85 94 106 121 133 134 128 119 115 121 135 150 155 151 147 145 132 115 106 108 116 125 134 143 147 146 142 138 137 138 135 128 123 125 136 153 170 180 179 172 159 134 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 11 9 6 3 0 0 11 19 14 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 3 3 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 3 2 1 0 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 22 30 32 34 31 29 32 28 18 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 0 1 0 2 1 4 8 10 10 9 8 6 3 2 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 11 14 17 18 18 20 30 33 22 10 7 7 7 8 8 9 13 19 20 15 10 3 0 2 4 0 0 0 0 0 0 0 0 0 8 39 66 84 93 94 96 103 113 116 111 103 100 106 119 134 145 148 151 155 143 125 113 109 111 118 129 141 148 149 147 143 141 141 138 131 127 129 138 153 167 176 177 176 171 161 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 11 11 8 4 4 15 26 25 10 2 0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 1 0 0 0 0 2 5 15 18 16 13 11 6 2 0 1 2 3 3 2 2 1 1 0 0 0 0 0 0 2 4 4 5 4 4 4 2 2 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 21 27 27 24 23 19 25 27 20 13 8 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 1 1 0 2 2 1 0 3 4 3 4 6 9 12 12 12 10 8 6 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 4 7 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 13 16 16 18 20 20 20 30 43 44 30 14 6 6 7 9 13 21 29 33 30 27 23 14 10 16 18 3 2 0 0 0 0 0 0 0 6 32 65 89 97 93 88 91 99 107 111 106 105 111 122 130 136 141 148 155 149 133 120 113 113 117 126 138 145 147 148 146 141 138 138 136 137 140 147 153 160 165 164 162 162 163 162 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 9 11 12 9 8 15 29 32 17 3 0 0 0 0 0 0 0 1 2 2 0 0 2 4 4 2 0 0 0 0 1 3 14 19 20 21 20 14 8 4 4 5 7 7 7 6 6 4 3 1 0 0 0 0 0 4 6 6 5 4 4 4 3 4 4 4 2 1 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 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 10 8 9 16 19 24 26 21 14 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 6 8 8 7 6 7 8 10 10 9 9 10 9 7 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 10 5 1 1 7 11 7 5 4 1 0 0 0 0 0 0 0 0 0 1 1 1 0 4 8 13 11 14 18 19 18 18 20 20 20 27 38 41 33 20 9 6 7 12 22 31 35 34 32 30 27 25 22 26 25 19 11 4 1 0 0 0 0 0 4 23 59 87 94 88 80 82 89 97 114 114 115 118 125 131 134 136 140 146 147 139 130 124 123 124 130 139 146 150 150 146 141 134 134 139 144 150 157 159 158 157 156 153 153 156 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 6 10 13 10 7 10 26 35 24 8 1 0 0 0 1 1 2 3 2 4 3 0 2 6 6 3 1 0 0 0 0 1 4 6 9 15 19 18 14 12 10 12 13 14 12 10 8 8 7 4 3 2 2 1 0 3 7 8 5 4 4 4 4 6 7 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 3 3 3 3 2 2 1 1 1 2 2 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 8 1 2 11 20 22 24 22 15 9 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 1 1 1 2 4 5 7 8 8 6 6 5 6 6 5 4 6 8 8 8 6 4 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 2 4 3 0 1 4 6 9 15 17 9 2 0 6 5 2 3 3 2 1 1 0 0 0 0 0 0 1 2 2 2 4 13 19 23 25 25 26 26 22 19 18 21 23 24 27 29 27 24 17 12 12 21 32 35 32 32 32 30 28 28 28 28 26 25 22 19 9 0 0 0 0 0 2 16 49 74 83 76 69 72 78 85 97 106 111 113 118 125 131 134 137 141 146 145 138 135 138 138 138 140 144 149 148 146 142 137 134 138 146 154 160 163 160 158 158 156 154 151 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 5 6 8 10 8 3 5 25 40 33 18 7 3 4 6 8 9 9 7 4 9 10 6 4 8 6 2 0 0 0 0 0 0 0 0 1 4 9 13 14 16 17 18 19 20 18 12 9 10 8 5 4 3 3 2 0 1 6 9 7 4 3 4 4 8 11 11 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 0 1 8 19 20 23 23 16 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 5 5 5 4 4 4 4 4 3 3 2 3 3 4 5 5 3 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 2 2 4 0 0 1 4 7 15 16 12 6 1 0 0 0 0 1 1 1 1 1 2 2 2 1 1 1 2 3 2 7 15 21 24 26 27 28 31 31 27 28 32 32 28 24 20 20 24 29 29 29 39 46 46 42 44 38 31 30 30 30 26 23 25 32 34 25 10 5 2 4 5 12 21 39 55 64 64 58 61 63 69 79 90 97 100 106 117 125 132 137 141 146 148 140 137 143 146 145 142 142 143 146 147 146 143 140 141 145 152 158 163 164 165 168 167 161 151 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 14 7 5 6 6 4 3 11 28 43 39 25 16 12 15 20 26 26 20 13 8 11 14 14 11 9 5 2 1 0 0 0 0 0 0 0 0 0 2 5 9 13 16 18 20 21 22 18 13 13 12 8 6 6 4 2 0 2 7 11 11 8 5 3 3 7 11 13 12 11 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 6 6 6 6 5 5 6 5 4 2 3 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 19 23 24 15 8 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 2 3 3 4 4 4 4 4 3 2 2 3 3 2 2 2 2 2 2 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 4 5 12 15 12 8 3 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 7 14 18 20 19 20 23 29 34 35 36 36 35 33 30 24 21 23 29 37 48 58 62 60 58 55 49 39 35 37 35 26 19 22 29 32 31 26 23 26 21 22 28 30 35 42 50 52 50 49 47 48 60 77 85 88 93 103 113 123 131 139 146 150 143 137 140 144 145 141 136 136 141 146 148 148 146 145 146 149 156 162 168 174 176 173 160 147 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
28 21 11 4 1 1 1 3 11 24 35 34 26 21 21 26 33 41 39 28 16 10 15 21 21 17 12 8 5 3 2 1 2 3 6 5 3 4 5 4 4 5 7 10 13 16 20 22 22 19 17 16 14 14 12 7 2 0 3 10 14 15 14 10 6 4 6 10 12 13 12 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 5 6 6 6 6 6 6 6 6 5 3 2 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 18 20 25 23 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 1 3 4 4 4 4 4 3 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 4 3 1 0 0 0 0 0 0 0 2 5 5 8 11 9 4 1 0 0 0 0 1 0 0 0 0 1 3 4 4 4 3 3 4 4 9 15 18 16 13 12 18 30 41 41 41 40 37 37 36 33 29 29 32 43 58 67 70 70 70 68 62 54 49 48 44 34 27 29 34 37 36 34 34 37 33 32 32 33 35 37 43 47 47 44 39 38 46 61 73 76 78 85 93 105 116 129 142 150 147 140 140 143 145 141 135 134 139 144 147 147 148 150 152 152 157 163 172 181 184 178 158 138 133 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
30 25 17 9 5 2 1 0 6 13 20 23 22 22 24 28 34 43 40 25 15 14 20 26 27 23 17 12 9 8 6 6 10 12 14 16 17 16 13 11 8 6 4 5 7 10 14 18 22 23 25 25 23 23 19 11 2 0 3 11 15 16 16 15 12 10 8 10 13 13 12 11 9 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 6 6 6 6 6 5 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 21 26 28 21 13 7 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 1 2 3 4 4 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0 3 5 5 4 4 3 3 3 4 4 4 4 4 4 3 3 2 3 2 2 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 3 5 4 3 4 5 5 1 0 0 0 0 0 0 0 3 5 5 5 6 6 4 1 0 0 0 1 2 1 1 1 0 0 1 3 4 4 3 3 4 5 10 17 20 18 12 9 14 28 43 45 41 37 37 36 35 32 32 35 38 55 69 74 72 71 73 76 74 68 64 61 54 43 37 39 52 62 60 50 41 39 39 38 36 34 33 35 39 48 53 48 38 34 37 48 63 65 65 69 73 79 92 112 131 143 147 145 145 148 151 149 143 140 142 145 146 146 149 154 156 153 154 161 173 186 194 191 170 145 132 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
45 37 27 19 13 9 5 3 4 7 11 16 19 22 23 24 29 32 28 21 17 17 22 28 30 28 24 19 15 13 12 13 15 19 21 21 19 18 19 17 14 10 6 5 4 5 7 11 17 25 34 42 44 38 25 14 2 0 2 10 15 16 16 17 17 16 14 13 14 14 13 13 12 9 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 4 3 4 5 4 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 23 29 28 21 12 7 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 1 3 4 3 3 3 4 4 4 3 3 3 2 0 0 0 0 0 0 0 1 4 5 4 4 4 3 4 4 4 4 5 5 5 5 4 4 3 3 3 3 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 2 4 5 4 3 3 5 10 13 12 6 4 4 4 2 0 0 0 0 0 0 0 2 4 5 4 4 4 3 0 0 0 0 0 1 1 1 2 1 0 0 2 3 3 3 3 4 5 8 16 22 21 15 9 12 21 34 38 34 32 33 32 28 25 26 34 48 66 83 88 79 69 68 70 70 71 76 81 73 58 51 57 81 102 105 87 66 52 46 46 41 31 28 28 37 54 68 64 49 38 34 49 57 61 61 62 63 65 73 90 113 134 144 149 152 156 162 164 160 155 151 149 147 146 149 153 152 148 148 154 166 181 196 202 192 172 155 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
74 60 44 30 21 16 13 10 9 8 9 13 17 20 21 22 24 25 24 21 20 20 23 27 30 30 29 25 22 20 19 20 22 24 27 28 27 24 23 20 18 16 15 12 8 6 6 8 13 24 37 48 53 47 32 17 8 1 3 10 14 16 17 17 19 20 19 17 16 14 14 14 14 13 9 8 7 7 7 7 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 2 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 21 28 28 21 13 7 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 1 2 3 4 3 3 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 2 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 3 6 7 8 9 11 17 27 30 19 8 4 3 3 2 0 0 0 0 0 0 0 0 2 3 4 4 4 3 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 2 2 2 2 5 12 23 24 18 12 12 17 22 23 25 27 28 28 25 22 23 32 50 71 89 92 79 67 65 60 55 61 84 106 103 90 84 89 106 126 132 121 104 87 74 68 57 38 25 20 27 51 80 84 73 61 50 48 55 60 62 62 61 60 62 73 94 120 136 145 152 159 165 172 175 173 166 159 154 150 148 147 146 145 148 155 163 172 185 197 200 196 191 185 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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15 12 11 9 7 6 5 5 6 7 7 7 7 7 7 8 11 18 25 30 34 32 29 26 26 26 28 32 36 38 38 39 39 37 38 43 46 43 39 35 32 31 31 30 29 27 25 24 21 18 16 16 20 27 37 47 54 63 66 58 44 30 24 32 48 62 66 65 59 51 50 52 54 56 57 56 52 46 40 34 30 27 25 26 28 31 34 35 33 30 26 21 16 10 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 11 12 12 12 13 14 15 15 15 11 6 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 3 4 4 4 4 5 6 7 7 6 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 1 0 0 0 0 1 1 1 6 20 36 36 23 24 32 43 46 46 49 63 75 81 78 64 52 48 48 47 46 46 44 38 27 17 11 11 15 22 33 41 44 44 37 24 14 8 3 1 6 13 30 46 48 38 28 31 46 62 70 68 62 64 66 63 60 62 67 73 79 85 86 84 83 81 80 82 81 80 77 73 71 75 83 94 103 108 100 78 59 51 50 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 10 9 8 7 6 5 4 5 6 6 6 5 4 3 3 4 8 13 17 22 26 29 30 31 30 28 28 33 40 44 43 42 39 37 40 45 48 47 44 41 39 37 36 36 36 36 34 31 27 24 22 22 23 26 31 36 42 52 54 46 35 25 25 38 54 64 66 62 55 54 54 53 53 51 52 51 48 44 39 33 27 24 24 26 29 32 31 28 27 24 19 14 10 6 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 11 12 12 12 13 14 16 16 16 12 6 6 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 2 2 0 2 4 6 6 6 6 6 6 7 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 7 12 13 16 28 45 49 39 29 28 31 35 38 40 42 48 58 72 86 81 67 58 56 54 54 54 52 45 35 22 12 10 13 19 26 34 39 40 32 20 11 5 2 3 8 14 27 43 47 38 29 32 47 60 62 60 59 62 63 60 58 59 62 68 73 81 88 86 84 79 74 74 74 75 75 77 80 81 74 74 83 99 106 99 84 69 54 48 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 7 7 6 6 6 6 6 7 8 9 8 7 5 3 2 2 5 10 13 14 18 22 26 29 30 27 24 26 34 42 44 43 39 36 38 44 50 53 52 49 45 41 39 39 40 42 43 42 39 36 34 32 29 28 28 26 26 31 40 42 38 29 24 29 43 58 67 66 61 59 56 54 54 53 54 56 56 54 49 40 31 27 24 24 27 29 28 27 24 18 10 8 11 12 10 7 5 4 3 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 11 11 11 11 12 14 15 16 16 12 7 6 5 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 1 1 0 2 4 6 6 7 8 8 7 6 6 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 24 29 36 47 55 47 36 30 27 27 29 32 34 35 35 37 48 71 79 73 66 62 59 60 62 62 58 51 39 28 22 22 24 27 28 28 27 20 10 3 0 1 5 12 17 26 43 46 36 28 34 47 56 59 56 56 60 61 59 58 58 60 66 75 83 88 87 84 79 74 69 66 66 70 77 87 91 76 68 70 82 96 102 101 93 77 60 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 7 7 7 7 7 8 9 11 12 13 11 10 6 4 4 4 7 10 12 12 12 14 16 19 20 19 19 19 24 33 39 40 37 33 34 42 52 57 57 53 47 42 39 38 39 40 42 43 41 39 39 38 36 34 32 28 23 21 24 29 33 33 27 25 32 48 64 72 70 65 60 59 65 69 66 65 64 62 58 53 46 38 29 25 26 28 28 27 25 17 8 7 13 19 16 12 8 5 4 3 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 11 11 10 11 11 12 14 16 16 12 8 6 5 2 2 3 3 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 6 6 6 9 10 8 7 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 16 24 31 41 43 43 39 32 28 25 24 25 26 28 30 30 30 29 33 45 59 66 67 65 63 64 66 68 67 63 56 48 42 37 30 28 25 22 14 8 3 1 0 0 3 13 20 31 46 45 35 29 35 49 62 66 63 60 62 63 61 60 60 61 66 78 85 86 84 82 78 69 60 54 52 57 69 82 84 76 69 71 77 85 92 101 106 102 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 17 13 18 20 17 16 20 23 25 25 23 22 19 13 8 9 12 13 13 12 11 11 11 11 12 12 14 14 15 21 30 34 31 28 31 42 53 60 60 52 44 40 37 35 34 34 36 37 37 37 37 39 39 38 38 36 31 23 18 18 23 28 29 25 24 35 56 74 77 73 67 66 74 81 80 73 67 65 64 64 59 50 37 28 27 27 26 26 26 22 12 9 12 19 17 13 8 5 7 9 4 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 10 12 11 10 10 11 12 14 16 16 11 7 6 5 4 4 6 6 5 2 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 8 9 9 8 7 6 6 5 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 16 20 23 24 29 30 28 24 20 19 21 22 23 24 26 28 29 28 28 30 33 42 52 58 61 62 65 66 68 68 67 64 58 51 42 30 25 21 16 8 2 0 0 0 0 3 15 22 34 48 48 38 32 36 53 68 72 73 68 65 65 64 62 60 62 67 72 77 79 79 80 77 64 52 46 46 51 59 69 72 70 71 80 88 87 82 87 96 100 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
42 46 49 47 45 43 42 44 45 46 49 51 47 43 39 37 36 30 23 21 20 19 17 16 16 14 13 13 12 12 14 21 25 22 22 30 43 55 61 58 50 41 37 34 30 27 26 28 32 33 33 35 36 37 37 36 37 36 29 21 15 14 19 24 26 24 28 44 68 81 81 76 72 76 83 85 80 73 67 65 65 61 54 43 33 28 25 23 24 25 24 18 11 10 12 13 11 7 7 10 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 9 12 11 10 10 12 12 14 17 16 11 6 6 6 5 6 7 8 7 5 4 4 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 1 2 3 5 7 8 8 7 6 6 6 5 4 2 1 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 1 6 13 16 16 17 18 18 18 16 16 15 14 16 20 22 21 21 26 29 30 29 28 28 32 36 39 43 46 49 53 55 57 57 58 56 48 37 28 22 19 17 13 7 2 0 0 0 0 3 16 22 32 49 54 47 42 49 64 73 77 82 80 75 71 68 64 60 60 65 72 72 73 75 77 76 65 53 46 47 53 59 63 67 67 72 86 104 101 88 79 80 90 98 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
61 60 61 54 49 49 49 45 45 50 55 58 56 57 59 61 58 48 40 38 40 37 32 32 34 33 29 23 18 14 13 16 17 14 19 33 50 59 61 56 48 42 38 31 23 20 21 22 24 25 24 24 25 26 27 27 29 31 31 26 19 14 13 19 24 26 29 36 55 77 86 84 78 75 79 86 86 81 72 64 59 56 52 47 38 30 24 21 21 23 24 20 14 10 9 11 9 8 10 11 10 9 6 3 1 0 0 0 0 0 0 0 0 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 1 4 5 5 9 13 12 11 11 11 12 15 17 17 12 6 6 6 6 7 7 8 7 6 6 5 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 5 4 5 5 5 4 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 15 13 12 14 16 15 15 14 14 14 17 22 21 14 16 26 32 34 32 31 30 32 35 37 36 34 34 34 30 32 31 34 36 31 25 19 15 15 17 16 10 1 0 0 0 0 3 13 22 36 54 66 69 65 65 72 80 87 94 96 90 85 77 68 63 61 63 69 70 71 74 75 75 68 57 51 51 58 65 68 68 69 72 89 106 110 102 88 79 85 99 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
41 34 25 26 23 21 20 20 22 28 31 33 35 41 49 57 57 53 49 49 51 48 46 51 55 48 39 34 30 26 22 19 15 14 22 41 58 63 60 54 49 44 38 29 20 16 15 17 17 15 13 11 10 10 13 18 22 28 31 31 26 19 15 17 22 28 32 34 43 63 82 89 85 79 80 88 93 92 82 69 59 55 53 51 44 33 24 20 19 20 21 19 16 13 10 6 7 11 14 15 16 13 8 6 3 1 0 0 0 0 0 0 0 0 1 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 10 13 12 12 11 11 12 14 17 17 12 7 6 7 7 7 8 8 7 6 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 4 5 6 6 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 18 18 14 11 12 14 16 16 16 15 16 16 17 20 17 13 21 30 36 38 38 36 35 36 37 38 36 33 29 25 22 19 18 18 20 20 17 12 10 14 20 21 15 4 0 0 0 0 3 11 24 40 58 78 99 104 92 82 83 90 101 108 106 99 90 78 69 66 63 63 69 70 73 76 74 67 60 57 56 60 67 70 71 74 77 92 106 114 114 105 96 97 104 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 8 8 10 9 7 6 8 10 12 14 17 19 20 24 28 36 40 42 44 44 44 46 52 56 47 37 35 33 31 27 22 17 17 27 45 60 63 58 52 48 45 39 28 20 16 15 15 13 10 6 3 2 2 9 19 28 34 36 36 33 28 22 20 22 27 34 39 42 54 74 89 92 87 87 94 100 100 93 77 63 57 56 55 50 39 26 21 19 18 17 16 14 10 4 4 8 14 17 19 20 18 15 12 6 2 0 0 0 0 0 0 0 1 5 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 6 10 13 13 12 11 11 11 13 16 16 12 7 6 6 7 7 8 8 7 6 5 5 5 5 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 6 6 6 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 17 20 17 13 11 12 14 15 15 15 15 15 16 16 15 12 15 27 37 42 44 43 41 40 39 38 36 33 29 24 21 18 14 10 11 13 12 9 5 5 15 24 24 18 9 2 0 0 0 2 11 25 36 56 72 102 119 118 110 99 99 106 113 115 112 103 88 78 72 63 60 68 71 76 78 77 72 64 62 64 64 69 69 70 74 83 96 105 111 115 115 111 109 110 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 10 12 12 12 12 12 13 14 14 15 16 17 17 17 19 22 26 29 30 30 32 36 40 42 39 34 31 28 28 26 22 18 18 26 41 52 56 54 51 50 46 35 26 22 20 19 16 11 6 2 0 0 6 21 35 42 42 40 39 37 34 30 25 24 25 36 46 48 53 68 85 95 95 93 97 102 104 98 84 71 64 62 61 56 46 32 22 20 17 14 12 9 6 6 7 11 16 20 25 27 25 23 23 10 2 0 0 0 0 0 0 1 4 10 20 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 6 10 13 12 12 11 11 11 12 15 16 12 8 6 6 7 7 8 8 8 7 6 5 6 5 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 3 5 6 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 19 20 16 12 8 7 8 10 11 10 10 11 12 13 16 15 16 24 36 44 47 47 45 42 39 37 34 30 26 22 18 14 10 8 7 7 7 7 4 1 4 19 27 25 20 14 5 0 0 0 2 10 27 40 51 60 80 105 120 123 120 117 117 120 123 126 120 106 93 80 64 57 64 75 81 84 83 74 64 62 65 69 71 67 66 70 80 91 100 108 112 115 115 112 109 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 15 15 15 16 16 17 18 18 19 18 18 18 19 19 18 18 20 22 22 21 22 25 30 37 42 40 35 29 27 25 22 17 15 19 31 44 52 54 53 49 38 24 23 25 26 23 17 9 3 1 2 11 27 45 53 50 43 40 39 38 37 34 29 24 24 35 49 53 55 64 79 91 95 93 93 97 101 98 85 73 68 66 64 60 51 39 29 24 18 12 8 7 8 10 11 14 18 24 31 34 34 32 29 17 5 2 1 0 0 0 0 3 8 16 23 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 9 12 12 11 11 10 10 11 14 15 14 10 7 6 6 7 8 8 8 7 6 6 5 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 4 6 5 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 19 19 15 9 5 3 3 4 6 7 7 7 8 9 12 20 25 29 36 45 49 48 46 43 38 34 29 26 22 18 14 10 8 8 8 7 7 6 5 2 0 4 21 29 26 21 16 9 2 0 0 2 11 27 37 44 49 60 83 110 123 124 124 124 126 131 134 130 121 110 94 76 64 67 78 86 91 92 82 70 64 63 64 64 62 62 65 75 87 95 104 107 110 113 112 109 105 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 18 18 18 17 16 17 18 20 20 20 20 21 22 21 20 19 19 20 21 20 18 22 30 40 52 53 45 36 28 22 18 13 10 13 28 45 53 52 45 33 22 20 22 26 27 23 14 6 2 2 13 30 48 59 57 46 38 37 36 36 35 33 27 22 22 30 44 52 55 62 73 83 88 89 90 92 93 92 85 75 69 66 63 60 53 41 30 24 18 12 9 11 14 18 20 21 25 32 38 42 41 37 31 26 20 15 10 8 6 6 5 6 11 17 20 17 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 1 5 6 8 12 12 11 10 10 10 11 12 14 14 13 8 6 6 7 8 8 8 8 6 6 4 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 1 1 0 0 0 0 2 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 16 17 13 7 3 1 0 0 1 3 6 7 7 7 9 16 28 34 38 44 48 48 44 40 35 29 24 20 17 14 11 9 8 7 7 7 6 6 7 6 3 2 10 23 29 27 22 19 13 4 0 0 2 10 26 33 38 41 47 64 91 111 119 119 119 122 125 127 127 125 119 110 97 88 85 90 96 99 100 94 84 74 66 59 55 55 57 62 73 84 94 98 101 104 108 111 110 108 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 19 19 18 16 14 13 15 17 19 21 23 24 24 24 22 21 20 20 20 20 21 27 40 56 61 53 41 31 23 16 13 9 10 19 39 53 52 42 29 21 20 20 22 24 23 19 12 5 2 4 20 39 51 54 49 41 36 35 34 32 29 26 22 18 18 24 38 49 54 60 69 77 81 85 84 83 85 87 83 76 70 64 57 53 47 39 30 24 19 15 14 17 23 30 34 34 37 41 45 44 42 39 37 36 37 37 34 28 19 17 16 14 15 16 20 22 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 10 12 10 10 10 10 11 12 13 15 14 9 6 6 7 8 8 8 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 1 1 1 0 0 0 0 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 16 12 6 1 0 0 0 1 3 5 7 8 8 9 12 21 31 34 37 41 42 40 34 28 22 17 13 10 8 8 8 7 7 6 6 5 5 6 7 7 5 5 12 23 30 29 25 23 20 10 1 0 3 8 21 29 32 34 39 50 70 91 107 111 112 115 119 121 122 121 118 114 109 108 109 108 109 110 110 108 102 93 81 66 53 46 48 55 68 80 87 90 92 95 99 104 107 108 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 16 17 17 16 14 15 15 16 17 20 24 26 26 27 26 24 23 22 21 22 23 32 49 63 57 37 22 15 12 11 9 10 19 35 49 52 42 28 22 20 19 19 19 19 17 15 11 6 4 6 18 32 40 41 38 37 39 42 42 37 27 21 19 17 17 23 34 44 50 56 64 71 72 75 86 91 87 84 82 76 68 59 49 42 38 36 33 28 24 22 23 27 33 39 43 45 45 47 48 38 33 34 37 40 42 44 45 45 41 33 30 25 17 12 11 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 9 11 10 10 12 12 12 12 14 15 15 12 7 6 7 7 8 8 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 17 14 7 1 0 0 0 2 5 7 8 8 9 9 11 15 22 26 27 29 31 29 25 19 15 11 8 7 7 7 7 7 6 5 5 5 4 3 4 6 6 5 4 8 20 29 30 27 24 22 13 4 1 3 9 18 27 29 29 34 41 54 62 82 92 96 99 104 111 114 114 111 107 107 109 115 114 113 114 115 116 115 112 106 92 71 50 42 43 54 68 79 82 84 87 90 94 100 105 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 17 18 18 16 15 16 16 17 19 23 26 27 28 29 30 28 26 24 22 23 23 29 39 46 42 28 14 9 9 9 11 19 34 47 50 43 32 23 20 18 16 14 13 12 11 10 10 9 8 9 13 20 23 26 30 36 46 56 59 52 37 24 20 20 21 24 32 39 44 50 58 65 69 72 89 96 88 82 80 73 62 53 48 43 40 38 38 36 34 32 34 39 46 51 54 52 50 50 52 33 23 31 38 44 48 51 53 54 52 47 44 29 13 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 8 10 9 11 13 13 13 13 15 17 16 14 10 7 7 7 8 8 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 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 1 8 16 17 13 8 4 2 3 2 5 9 10 8 8 8 10 12 15 16 16 17 19 20 16 12 9 7 6 5 5 6 6 6 5 5 5 5 5 4 2 3 4 3 1 1 4 14 25 30 27 24 20 14 6 2 2 7 13 22 28 26 31 35 45 54 63 70 74 74 76 83 93 97 98 97 98 99 102 104 105 107 109 112 115 118 119 116 102 77 54 43 44 51 62 71 76 80 83 86 94 101 106 108 nan nan nan nan nan nan nan nan nan nan nan nan nan
15 16 13 13 12 10 9 12 14 16 18 18 19 22 26 30 29 27 25 24 22 20 20 24 34 39 31 20 13 10 14 20 32 44 49 46 38 28 20 16 14 12 10 8 6 5 8 12 16 16 13 12 12 12 19 28 40 51 60 65 62 50 34 25 25 28 30 35 38 43 51 60 67 73 77 84 89 82 77 77 68 57 52 55 56 51 43 39 42 43 42 42 46 53 58 60 58 57 56 57 50 43 43 46 49 52 54 55 55 54 50 43 23 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 2 3 3 3 4 4 7 9 10 12 14 14 13 14 16 18 17 15 13 9 7 6 7 7 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 18 19 15 10 8 8 7 5 6 9 10 9 9 9 10 11 11 10 10 11 13 13 12 10 8 6 4 4 5 5 5 5 5 5 5 6 7 6 6 6 5 2 0 0 2 8 20 27 25 20 15 10 5 2 1 4 8 10 19 23 26 29 35 44 53 60 61 60 58 57 56 70 76 79 83 87 89 92 94 97 102 105 108 112 117 119 116 108 89 70 56 45 48 58 66 71 76 81 88 96 102 108 nan nan nan nan nan nan nan nan nan nan nan nan nan
8 8 8 8 7 6 6 7 8 7 5 7 9 11 16 22 26 28 27 24 20 18 16 19 23 29 31 27 21 18 23 34 43 48 47 42 33 24 17 14 12 10 7 5 4 5 10 20 29 29 21 13 10 9 19 34 45 49 50 55 60 58 48 37 34 38 41 44 46 56 65 71 73 73 72 73 76 78 75 75 65 56 56 64 69 65 54 49 52 55 55 53 55 59 62 64 67 70 71 68 63 61 59 57 54 54 52 52 51 53 51 38 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 7 9 11 13 14 14 14 16 18 19 18 16 15 14 9 7 6 7 8 8 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 1 1 2 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 19 22 18 12 10 9 8 6 6 8 9 9 10 11 10 10 8 8 8 8 9 10 10 9 6 4 3 4 5 5 6 6 5 5 6 7 8 8 8 8 7 4 0 0 0 5 13 18 17 11 6 5 4 2 0 2 6 8 12 16 19 20 25 34 45 56 60 59 56 54 52 54 56 59 63 70 74 77 80 83 88 94 99 105 109 109 109 113 112 102 89 73 63 62 64 68 72 78 84 88 93 100 nan nan nan nan nan nan nan nan nan nan nan nan nan
7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 10 16 23 26 25 22 19 17 17 17 19 26 30 28 26 33 46 53 52 46 37 30 22 16 14 12 9 6 4 6 11 16 32 42 38 26 17 13 15 25 39 44 42 39 42 55 65 62 52 47 50 53 55 62 76 82 80 76 72 69 67 67 68 68 67 65 61 64 72 78 78 74 71 72 74 73 70 67 68 69 74 82 85 84 80 74 71 70 66 60 54 48 43 42 46 43 27 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 4 7 8 10 12 13 14 14 15 17 20 20 17 15 15 13 11 8 7 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 23 20 14 10 9 8 6 6 7 9 12 14 12 10 8 7 7 7 7 7 8 8 6 4 2 2 2 4 5 6 6 5 5 6 7 7 8 9 9 8 6 1 0 1 4 7 10 9 6 4 4 4 4 2 2 4 7 8 9 11 14 17 25 35 48 57 59 58 56 55 53 52 52 54 62 64 65 65 68 73 79 87 95 102 101 97 99 106 109 104 98 94 89 86 84 83 86 86 87 87 90 nan nan nan nan nan nan nan nan nan nan nan nan nan
9 9 9 9 9 9 9 9 9 9 10 11 11 10 8 6 8 15 21 26 26 23 21 19 17 16 20 26 30 30 34 47 55 54 49 41 34 25 16 13 9 7 6 8 12 17 23 38 44 37 23 19 22 27 32 36 37 34 31 31 42 63 70 64 59 59 62 66 74 84 84 74 70 66 61 60 59 56 53 52 58 65 72 77 82 85 88 91 93 94 92 86 81 80 84 89 91 90 87 84 80 76 72 68 61 51 42 32 31 32 35 23 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 6 5 7 9 12 13 14 14 15 18 20 19 15 13 14 14 10 7 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 12 20 25 20 11 8 7 6 6 8 11 16 15 10 8 8 7 7 7 7 7 7 6 3 1 0 0 0 2 4 5 5 5 6 6 7 7 7 8 8 7 5 2 0 2 5 7 8 7 6 4 5 5 5 5 4 5 6 7 8 8 8 9 15 20 36 52 60 62 62 61 60 59 59 58 62 62 60 56 57 63 68 74 84 94 95 91 90 92 96 97 98 101 104 104 104 104 106 105 99 93 88 86 nan nan nan nan nan nan nan nan nan nan nan nan
12 12 12 12 12 12 12 12 12 12 13 16 15 14 12 10 8 9 12 18 24 25 25 23 21 19 18 21 25 27 28 35 41 47 52 52 44 30 14 8 7 7 10 13 16 19 23 32 37 31 22 27 34 35 30 26 24 24 24 24 30 50 72 72 65 62 64 66 71 77 74 62 62 64 62 62 63 55 44 41 47 58 67 72 78 83 89 96 102 105 103 98 94 94 96 90 82 80 79 80 78 74 67 61 53 45 37 27 20 23 27 22 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 4 4 5 4 5 7 10 12 13 14 14 16 18 19 16 12 12 14 13 7 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 23 27 16 9 7 7 10 14 20 20 13 8 8 8 7 7 8 8 8 7 5 2 0 0 0 0 0 2 3 4 5 6 7 7 7 7 7 7 6 4 3 3 4 6 8 8 8 6 6 6 6 6 5 5 5 5 6 7 7 6 5 10 12 25 41 55 64 68 69 67 65 65 66 65 61 58 54 53 59 63 68 76 85 90 90 89 88 88 90 92 95 98 101 103 106 110 114 113 108 100 93 nan nan nan nan nan nan nan nan nan nan nan nan
12 12 13 13 14 14 14 15 16 17 18 17 16 15 14 13 11 8 6 7 14 21 25 26 25 23 20 18 20 21 20 19 21 29 41 52 48 29 12 8 9 12 15 17 18 19 21 26 29 26 23 28 32 28 19 13 12 15 18 22 28 42 64 74 68 63 61 62 66 71 71 66 68 76 75 75 67 49 38 36 38 46 55 63 68 75 82 89 98 104 103 99 98 96 88 75 67 68 71 72 69 62 54 47 41 38 34 23 16 15 19 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 5 4 4 4 4 4 6 7 9 11 12 13 14 16 16 15 11 12 14 14 8 6 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 11 26 32 24 13 10 14 20 28 30 22 11 8 8 8 7 8 8 8 8 6 4 1 0 0 0 0 0 1 2 4 6 7 8 8 7 7 6 6 5 4 4 4 5 6 8 8 8 7 7 7 6 5 5 5 4 4 5 6 7 7 6 7 10 17 27 40 56 67 70 67 65 66 68 69 67 64 60 57 59 66 69 74 80 85 88 87 84 84 85 88 92 94 94 93 94 97 104 111 115 113 108 nan nan nan nan nan nan nan nan nan nan nan nan
13 13 14 14 14 15 14 16 17 17 17 17 16 16 15 15 14 12 9 7 7 10 16 23 27 26 22 19 18 17 16 13 12 16 26 43 41 24 12 11 14 18 20 21 20 20 20 23 26 25 24 22 21 18 12 7 6 9 16 26 36 44 54 64 65 63 63 63 63 65 67 68 70 72 75 73 56 32 28 33 38 43 51 57 61 67 74 82 91 98 100 92 83 76 67 60 60 64 65 60 52 44 36 32 31 33 30 20 10 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 5 5 5 4 5 5 5 6 9 11 12 12 13 14 14 12 12 15 15 9 6 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 8 9 8 12 26 34 30 21 19 24 33 37 33 19 10 8 8 8 8 8 8 8 6 4 0 0 0 0 0 0 0 1 3 4 6 8 8 8 6 5 4 3 3 3 3 3 4 6 7 8 8 8 8 7 6 5 4 4 4 4 4 5 6 6 6 6 8 11 16 24 39 50 54 54 55 57 61 66 69 70 69 60 60 70 74 77 80 82 82 79 76 74 75 80 86 88 86 83 82 84 88 95 103 110 115 nan nan nan nan nan nan nan nan nan nan nan nan
14 14 14 14 14 14 14 14 16 16 16 15 14 15 16 16 16 15 13 11 9 6 7 11 17 22 24 22 20 18 16 16 15 16 20 32 34 22 16 17 20 22 24 24 23 21 19 20 25 29 26 20 16 14 11 8 8 13 22 37 49 50 47 48 52 56 61 63 61 62 63 61 57 58 62 63 53 39 34 38 40 44 50 55 59 64 71 80 90 97 99 84 65 57 55 56 61 63 58 50 40 32 25 23 21 22 20 13 9 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 5 5 5 5 5 5 5 5 4 6 8 10 11 12 13 14 13 13 14 14 10 7 6 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 12 13 13 18 30 37 34 28 28 34 39 38 27 13 8 8 8 8 7 7 7 5 4 2 0 0 0 0 0 0 0 0 2 3 5 6 6 5 3 1 0 1 1 1 1 0 1 4 6 7 8 8 8 7 6 4 4 3 3 3 3 4 3 4 5 6 6 6 13 18 24 27 30 34 39 43 47 52 59 66 72 65 62 67 73 78 82 84 82 75 70 66 66 71 76 77 75 72 70 72 76 81 87 95 104 108 nan nan nan nan nan nan nan nan nan nan nan
14 14 14 14 14 13 13 13 13 13 14 14 14 15 16 16 16 16 15 15 13 10 8 6 5 10 16 22 24 22 20 20 21 20 20 26 32 29 24 23 23 26 27 26 25 22 19 18 21 27 28 24 20 16 14 14 18 26 33 49 60 52 40 36 39 44 53 63 69 68 67 64 54 50 55 62 62 55 45 38 38 44 49 54 60 67 74 84 96 102 94 72 54 55 58 61 64 62 56 46 36 26 18 12 11 10 8 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 8 10 12 13 13 13 12 12 12 9 6 6 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 18 24 31 37 40 38 34 36 40 38 30 18 10 8 8 8 8 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 0 0 0 0 0 0 0 0 0 2 4 6 6 7 6 5 4 4 2 2 1 1 1 1 1 1 2 3 4 5 9 14 18 18 17 20 27 33 36 39 44 52 60 60 59 59 60 64 75 82 82 75 67 61 59 62 66 69 67 62 59 59 63 69 75 82 90 95 nan nan nan nan nan nan nan nan nan nan nan
14 14 13 13 13 13 13 13 13 14 14 15 15 15 15 16 16 16 16 16 16 14 12 9 6 5 8 14 20 25 25 25 24 22 20 25 32 34 32 27 25 26 28 28 27 24 20 17 18 23 29 29 23 19 17 20 27 33 39 51 62 50 32 26 29 33 39 52 68 76 75 69 55 45 45 52 55 50 41 35 36 43 48 53 62 74 83 94 105 102 84 67 59 60 62 63 64 61 56 44 30 15 6 3 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 6 5 5 5 5 5 5 6 6 5 4 4 4 4 6 8 10 11 11 11 10 9 8 7 6 6 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 16 26 37 43 43 42 40 40 41 40 32 22 12 9 8 8 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 2 1 2 1 0 0 0 0 0 0 0 0 0 1 3 5 10 13 14 14 16 20 26 31 33 36 40 45 48 50 50 48 46 54 63 67 67 61 55 51 50 58 62 61 55 51 49 51 56 62 69 79 87 nan nan nan nan nan nan nan nan nan nan nan
13 13 12 12 12 12 13 13 14 14 15 15 15 15 15 15 16 16 16 16 16 15 14 13 11 8 6 6 10 17 23 25 26 26 24 24 29 34 35 32 27 26 27 28 27 25 21 18 17 21 26 28 24 19 18 22 27 30 35 48 58 50 33 23 22 24 27 33 48 64 70 66 56 42 34 35 38 37 33 31 34 42 50 56 67 87 96 105 109 96 76 64 59 58 60 61 62 63 52 28 11 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 6 6 5 5 5 5 6 6 6 5 5 5 5 5 6 6 7 8 8 8 8 7 6 6 6 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 32 42 46 45 42 41 42 41 37 26 15 9 8 8 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 5 7 8 11 16 17 20 21 23 26 29 33 37 39 40 38 36 38 43 48 49 47 44 43 42 49 52 52 47 42 40 41 44 48 54 64 74 nan nan nan nan nan nan nan nan nan nan nan
12 12 11 11 11 12 12 13 14 14 15 14 14 14 14 14 15 15 15 15 15 15 14 14 14 11 9 6 4 6 13 19 23 26 28 27 27 31 35 36 32 27 27 27 26 24 22 19 17 20 25 28 25 20 18 20 22 24 32 47 56 50 37 26 20 18 20 25 33 44 52 55 51 41 34 30 28 29 28 28 32 41 53 65 80 96 103 109 107 89 68 56 53 54 57 58 63 67 37 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 4 5 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 29 38 42 44 43 42 41 38 32 20 12 9 9 9 9 7 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 1 2 3 4 6 13 16 17 16 15 15 18 20 22 24 26 25 24 25 29 34 37 38 36 35 36 40 42 44 42 41 40 37 33 37 40 47 57 nan nan nan nan nan nan nan nan nan nan nan
12 12 11 11 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 14 13 12 9 6 3 5 9 15 20 25 26 26 28 34 38 34 29 26 25 24 23 22 20 18 19 24 28 26 20 17 18 18 24 38 53 54 45 34 26 22 21 23 25 26 32 40 45 44 41 36 32 29 29 31 34 40 47 61 79 92 99 104 108 100 78 60 51 50 53 55 60 64 54 20 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 2 2 4 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 2 3 4 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 22 27 35 40 41 39 37 32 25 17 11 10 10 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 9 13 14 14 13 13 12 11 11 11 10 8 8 10 12 16 20 23 23 24 26 30 34 36 40 42 43 42 36 32 30 33 40 44 nan nan nan nan nan nan nan nan nan nan
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17 17 17 16 15 14 14 14 14 13 13 12 13 13 14 13 13 13 13 13 14 14 13 13 13 13 13 13 13 12 11 8 5 3 4 7 12 19 25 30 32 33 30 26 23 21 19 18 16 15 15 17 21 21 19 18 25 43 58 54 37 24 25 31 37 44 45 39 32 27 26 27 29 29 26 24 26 32 42 55 72 94 100 102 103 100 87 71 62 62 65 67 68 67 60 56 25 5 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 16 16 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 3 3 4 5 5 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 14 14 14 15 16 16 15 13 12 10 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 5 4 3 1 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 15 20 23 24 25 25 25 24 nan nan nan nan nan nan nan nan nan nan
16 17 18 17 16 14 14 14 14 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 9 6 4 5 6 11 17 25 31 34 34 30 26 21 17 17 16 13 13 16 20 23 21 18 22 41 54 48 32 23 25 31 35 40 43 37 31 29 28 28 28 25 20 20 26 36 52 68 84 96 99 100 98 88 72 60 58 62 67 70 71 66 59 46 12 2 0 0 0 0 0 0 0 0 0 0 0 0 4 11 16 16 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 5 5 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 3 3 4 4 5 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 14 15 15 14 14 13 11 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 12 17 20 21 22 23 24 24 nan nan nan nan nan nan nan nan nan
15 16 17 16 15 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 12 11 9 7 6 5 6 8 15 24 31 34 34 29 24 20 18 17 14 14 16 21 24 23 20 19 37 52 46 33 26 26 28 32 38 45 42 36 33 33 33 30 24 20 21 30 46 67 80 86 89 92 92 86 73 60 58 62 69 72 71 68 62 46 22 2 0 0 0 0 0 0 0 0 0 0 0 0 2 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 5 5 4 5 5 5 4 4 5 5 6 6 6 6 6 6 5 4 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 3 4 4 5 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 15 14 13 11 10 7 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 12 15 17 18 20 22 23 nan nan nan nan nan nan nan nan nan
14 14 16 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 14 13 12 11 9 8 6 5 6 6 14 25 32 35 33 28 24 21 19 16 14 16 20 24 25 21 20 31 49 49 40 35 33 30 30 34 40 42 40 39 40 37 32 25 22 26 39 58 77 86 85 82 83 84 77 67 64 71 79 81 76 70 64 53 30 7 0 0 0 0 0 0 0 0 0 0 0 0 0 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 5 4 3 4 4 4 4 4 4 4 5 6 6 6 5 5 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 4 4 5 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 13 13 12 10 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 12 13 13 14 18 21 nan nan nan nan nan nan nan nan nan
13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 14 14 13 12 11 9 7 6 5 6 8 14 26 34 36 32 27 22 18 14 12 14 18 23 25 24 21 27 40 48 45 44 45 40 33 32 36 41 42 42 40 36 30 26 29 40 54 67 78 87 77 70 76 79 76 74 79 89 93 88 77 69 64 49 23 4 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 1 1 2 2 2 3 3 3 4 4 4 4 4 4 5 5 6 6 6 5 4 2 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 1 3 4 5 5 4 4 5 5 5 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 6 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 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 0 0 0 0 0 0 1 4 8 10 10 10 10 12 15 nan nan nan nan nan nan nan nan nan
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