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