Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 6 7 6 5 4 3 3 3 3 3 4 4 4 4 5 7 8 8 7 5 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 2 1 1 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 4 3 2 2 2 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 4 5 5 5 5 4 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 6 6 6 5 5 5 5 4 5 5 6 5 5 6 7 9 11 11 10 7 6 5 5 6 6 7 8 8 7 5 4 4 7 8 7 5 5 7 7 -2 8 9 3 -0 3 -0 5 10 7 5 4 5 3 6 10 3 1 4 3 1 4 0 -6 -2 3 4 4 4 3 7 14 10 -2 -4 -1 3 7 4 -1 2 4 1 0 3 5 2 2 6 3 -2 -3 -1 0 3 1 1 5 6 4 11 29 42 34 17 9 7 6 5 4 4 4 4 4 4 4 4 3 4 4 4 5 6 8 9 10 9 10 11 12 14 13 12 10 8 7 6 5 4 4 4 4 4 4 4 5 5 5 6 4 3 3 5 5 4 4 4 5 6 5 4 4 6 5 5 5 5 5 5 5 6 6 8 8 3 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 3 2 2 2 2 3 3 3 2 2 3 3 3 4 4 4 4 4 3 2 3 4 4 4 4 4 4 5 6 7 7 6 5 5 5 6 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 9 21 33 26 13 5 3 2 -2 -5 -9 -8 -15 -6 0 -6 -4 1 2 -1 -5 -7 -8 -14 -19 -14 -10 -13 -12 -7 2 5 5 5 6 8 13 19 22 21 12 6 8 8 8 6 6 7 9 13 14 12 12 13 13 12 10 9 7 6 5 4 4 5 5 5 4 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 4 5 6 6 5 4 4 4 3 4 3 3 3 4 3 3 5 6 7 7 6 5 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 4 4 5 4 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 4 4 5 6 7 6 6 5 5 5 5 4 5 6 5 5 5 7 9 10 11 10 8 6 5 6 6 7 7 8 7 7 5 4 6 9 6 6 6 8 12 7 5 13 7 4 5 7 2 2 2 6 7 7 4 5 12 11 5 3 4 3 4 7 1 -3 -1 2 5 8 9 2 -2 11 13 3 -3 1 10 11 5 2 5 7 4 1 -0 0 3 6 9 3 -4 -3 -1 3 5 6 7 9 10 12 22 35 36 22 10 7 6 6 5 4 4 4 4 4 4 4 3 3 3 4 4 5 6 8 9 9 10 10 11 12 13 13 11 9 8 6 5 4 4 4 4 4 4 4 4 5 5 4 4 3 1 2 5 5 4 4 4 6 5 3 3 5 5 5 5 5 5 5 5 6 6 5 6 2 -1 3 2 1 1 3 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 3 3 3 4 5 5 5 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 5 4 4 4 4 4 4 4 4 5 11 22 32 31 23 14 7 8 7 5 2 2 1 3 -0 4 6 4 6 6 4 1 0 -1 -4 -3 -6 -9 -8 -3 4 5 5 4 5 5 7 10 13 10 5 5 6 6 5 5 4 4 6 7 7 8 8 8 9 9 7 5 4 4 4 4 5 5 4 4 4 4 4 4 5 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 3 3 4 5 6 6 5 4 4 4 4 4 3 3 3 3 2 3 4 5 6 6 5 5 5 5 4 4 3 2 2 1 1 1 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 5 4 5 5 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 5 5 6 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 5 6 6 6 5 5 5 5 4 5 5 6 5 6 6 8 9 10 10 9 6 6 6 6 7 8 8 7 6 5 4 7 12 9 3 7 13 16 4 4 9 2 3 9 7 3 1 -2 0 8 13 7 6 11 10 6 4 6 4 5 7 3 2 3 4 6 9 13 9 2 3 6 6 4 7 12 8 3 4 8 10 8 4 -0 -1 5 9 8 3 -0 -0 2 4 8 10 10 12 15 25 37 36 22 11 7 6 6 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 7 8 8 9 9 10 10 11 12 12 10 9 7 7 6 5 5 5 5 5 4 4 4 5 4 4 2 -3 -8 -1 5 5 5 6 5 6 5 4 5 5 5 5 5 5 5 5 6 6 6 4 4 -4 -10 -3 -1 -5 -6 0 3 3 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 5 6 6 5 4 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 3 4 8 18 26 30 23 9 5 3 1 2 7 8 8 7 7 6 6 7 9 10 5 5 9 8 8 6 2 0 0 3 5 5 5 5 5 5 5 7 7 5 5 6 6 6 5 5 4 4 5 6 7 7 7 7 8 7 6 5 4 3 4 5 4 4 4 4 4 4 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 3 3 4 5 5 4 4 5 4 4 4 3 3 3 3 2 2 3 4 5 5 5 5 5 5 5 5 3 2 1 0 0 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 5 4 5 5 5 5 5 4 4 4 5 6 6 6 5 5 5 4 4 5 5 6 6 5 6 7 9 10 10 9 7 6 6 6 7 8 9 7 6 5 4 4 7 10 3 3 8 12 8 6 5 4 1 7 6 1 0 0 0 9 12 7 7 6 6 4 6 5 2 1 3 4 9 9 8 8 10 10 11 14 10 6 6 8 14 14 6 -0 3 10 14 8 2 0 4 9 8 4 2 2 2 3 5 8 11 13 19 30 41 41 27 12 7 6 6 5 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 6 7 8 9 9 9 9 10 11 11 10 9 8 7 7 6 5 6 5 5 4 4 4 5 5 4 0 -7 -8 1 5 6 6 5 5 6 5 6 6 5 5 5 5 5 5 6 6 5 5 4 4 -2 -12 -10 -3 -3 -6 -3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 2 3 2 2 2 1 1 1 1 2 4 6 7 7 6 4 4 4 5 6 6 6 6 6 5 4 4 3 3 4 4 4 5 4 5 5 5 5 5 5 6 6 6 5 4 3 3 2 2 2 1 1 4 10 20 23 14 7 4 0 -1 4 8 10 9 9 8 7 7 9 8 7 6 6 6 9 11 7 5 4 5 5 4 4 4 5 5 5 5 5 5 5 6 6 7 6 6 6 5 5 6 6 7 7 7 7 7 7 6 4 4 4 5 5 4 4 4 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 3 3 3 4 4 4 4 5 5 4 4 3 3 3 3 2 2 3 3 4 4 4 5 5 5 5 6 5 4 2 2 1 2 2 2 2 2 2 2 2 1 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 5 5 5 5 4 4 5 5 5 6 6 7 8 10 10 10 9 7 6 7 8 9 9 7 6 4 3 0 1 7 7 5 6 5 6 13 11 7 1 9 12 4 0 0 4 9 3 3 4 4 3 3 4 1 2 3 3 2 13 15 11 12 11 7 6 12 17 15 10 10 11 9 10 8 8 9 9 3 -1 3 11 10 4 1 2 4 5 4 5 9 12 19 33 45 43 29 14 7 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 5 5 6 7 8 9 9 9 9 9 10 10 10 9 9 8 7 7 5 5 5 4 4 4 4 5 5 4 1 -2 1 4 5 5 5 4 4 5 6 6 5 5 4 5 5 5 5 5 5 5 5 4 3 2 -3 -10 -5 6 7 1 1 2 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 3 2 1 1 1 2 3 5 7 9 8 6 4 4 5 5 5 5 6 6 6 6 5 4 4 3 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 4 2 0 -1 -3 -4 -4 -5 -5 -2 4 12 12 8 5 3 1 5 8 9 9 9 9 9 10 12 10 8 10 10 10 8 7 6 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 6 7 7 7 7 8 7 6 5 4 5 6 6 6 5 5 5 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 5 3 2 2 3 3 3 4 5 4 3 3 3 3 3 4 3 3 3 3 4 4 4 5 4 4 5 5 6 6 5 5 4 4 3 2 2 2 3 2 1 2 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 3 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 8 9 10 10 10 9 7 7 8 9 9 7 6 3 2 0 3 8 8 6 7 1 -1 12 14 5 3 6 10 9 4 1 8 8 2 3 2 1 2 4 4 1 3 10 9 5 10 13 12 11 6 1 1 4 11 12 9 9 5 3 10 14 9 7 8 4 2 9 12 6 2 2 5 8 8 6 6 8 14 24 37 39 27 14 7 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 6 7 8 8 9 9 9 9 9 10 10 9 9 8 7 6 5 4 4 4 4 4 5 6 6 4 1 1 3 4 5 5 4 4 4 5 5 4 4 5 5 4 5 5 5 5 6 5 5 4 4 4 2 -4 -5 4 10 5 1 2 2 2 3 3 3 3 3 3 3 2 3 2 3 3 3 4 4 5 6 5 5 4 3 3 3 4 6 7 8 9 8 5 4 4 4 5 5 5 6 6 6 6 6 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 -2 -6 -11 -13 -11 -14 -15 -10 -5 1 7 7 6 5 5 6 7 8 6 6 13 13 10 17 17 12 12 11 10 8 6 5 4 4 4 4 3 2 2 3 4 4 5 5 5 5 5 5 6 7 8 7 7 6 5 5 6 7 7 8 8 8 7 6 6 6 6 7 7 6 5 5 5 5 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 nan
nan nan nan nan nan nan nan 2 3 4 3 2 2 3 3 3 4 4 4 3 2 3 3 4 4 4 4 3 3 4 4 4 4 5 4 4 5 6 6 6 6 6 5 4 4 4 4 3 3 2 3 3 3 3 3 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 3 3 3 4 4 4 3 3 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 3 3 3 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 5 4 5 4 5 5 5 4 4 5 5 5 5 7 8 9 9 10 10 10 9 8 9 9 9 7 5 3 2 3 6 11 8 3 2 1 -1 3 4 6 9 5 5 8 7 3 7 6 3 5 3 1 1 3 2 1 1 8 8 7 6 10 12 8 -2 -7 -1 2 4 3 5 4 5 4 4 4 1 6 8 1 5 10 9 4 4 6 6 6 7 6 5 7 14 25 32 25 13 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 6 7 7 8 8 8 8 8 8 8 9 9 9 8 6 5 5 4 4 4 4 5 6 6 5 3 1 1 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 -3 -7 -2 3 2 2 2 2 2 2 2 3 3 4 4 3 3 3 4 4 4 4 5 6 7 7 8 8 7 6 6 8 10 10 10 8 7 6 4 4 4 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 3 3 2 3 2 2 2 2 2 2 1 1 1 -1 -7 -11 -13 -11 -9 -11 -9 -3 1 5 7 8 7 5 6 6 6 6 -2 0 8 11 16 17 12 9 7 7 7 6 5 4 4 4 4 3 -0 -3 -1 2 4 4 4 4 4 4 5 5 6 7 8 8 7 6 5 6 7 8 9 8 8 8 7 7 6 6 7 7 6 5 5 5 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 3 3 3 3 3 3 2 3 3 3 2 2 3 3 3 4 3 4 4 4 4 4 4 4 5 4 5 5 6 6 6 6 6 5 5 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 4 4 3 4 3 3 3 4 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 6 5 4 4 4 5 6 6 5 4 4 5 5 5 4 3 4 5 5 5 6 9 10 9 10 11 10 10 9 9 9 8 7 4 3 2 3 6 8 8 4 0 3 6 7 6 6 7 4 2 6 8 6 7 4 3 3 2 2 1 1 -1 0 1 5 5 6 7 11 11 5 -5 -6 3 7 5 -0 1 -0 6 7 5 4 1 2 3 -3 1 5 3 1 6 10 6 2 2 3 5 9 16 27 29 18 8 6 5 5 4 5 5 5 5 4 4 5 4 4 4 4 3 4 4 4 5 5 5 6 7 7 7 8 8 7 7 7 7 7 7 8 7 6 5 5 4 4 4 5 6 6 5 4 3 2 2 4 7 7 6 5 5 5 5 4 3 3 4 4 5 5 5 5 6 6 6 5 5 4 4 4 5 3 -3 -5 -1 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 7 8 9 10 10 9 9 10 11 12 11 9 8 7 6 4 3 4 4 5 6 6 6 6 6 6 5 6 5 5 5 4 5 5 4 4 3 3 3 3 2 2 1 0 -1 -0 1 1 -0 -2 -0 3 1 0 4 5 5 5 6 7 5 5 6 7 10 3 -9 -7 2 9 10 7 6 7 7 6 6 6 5 5 5 6 8 3 -6 -9 -6 2 5 5 4 4 4 4 4 5 6 7 8 8 6 5 5 6 7 8 8 8 8 7 7 6 6 6 7 7 6 5 5 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 2 3 4 5 5 5 3 2 2 2 2 1 2 3 2 2 2 2 2 3 3 4 4 3 3 4 4 4 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 2 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 3 4 4 4 3 4 3 4 3 3 4 4 3 3 4 3 3 4 4 4 4 3 3 3 4 5 5 4 3 4 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 6 6 6 6 4 4 4 5 5 4 3 3 5 6 5 6 9 10 9 9 10 11 10 9 9 9 7 6 5 3 2 3 4 5 8 8 5 6 9 10 9 6 5 5 2 4 6 9 10 4 2 2 1 4 2 3 1 1 6 7 7 7 7 10 8 1 -4 0 6 11 11 4 -4 -1 5 6 7 11 8 4 2 0 -0 2 -1 0 5 7 4 2 2 5 9 12 20 27 22 11 5 5 5 5 4 4 4 5 4 4 4 5 5 4 4 4 3 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 6 6 5 4 4 3 3 5 13 15 11 9 7 6 5 5 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 5 -2 -2 2 3 2 3 3 3 3 3 3 4 4 5 6 7 7 6 5 6 7 8 9 10 10 10 10 10 11 11 11 10 7 6 7 7 6 4 2 3 3 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 -1 -6 0 6 5 5 5 5 5 6 5 5 4 4 3 6 7 6 5 7 16 15 -0 -8 -3 4 5 5 5 5 6 6 6 6 7 7 6 8 13 13 4 -3 -9 -5 3 5 4 4 4 4 4 5 5 6 8 8 7 6 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 4 3 4 5 5 6 6 4 2 1 1 1 0 1 2 2 2 2 2 1 2 3 3 3 3 2 2 3 4 4 4 4 5 6 6 6 5 4 4 3 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 3 3 4 3 4 4 4 4 4 3 4 4 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 5 5 5 3 3 5 6 6 6 7 9 10 9 9 11 11 10 9 8 7 5 5 4 3 2 3 5 8 9 9 7 6 5 4 5 8 9 10 8 4 5 9 8 5 3 3 6 4 5 5 4 6 9 10 7 6 5 3 -1 1 4 6 10 13 5 -6 2 5 7 8 5 7 8 3 5 2 3 4 5 5 5 4 5 6 9 11 12 18 20 13 5 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 6 6 5 4 4 4 3 5 12 18 19 19 16 13 10 9 8 6 7 7 6 6 7 7 7 6 6 5 5 6 6 6 5 6 6 2 -0 2 3 3 3 4 4 4 3 4 3 4 5 7 9 8 7 6 6 7 9 9 10 9 10 10 10 9 9 8 6 6 6 7 7 7 6 4 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 9 9 0 0 5 5 5 5 6 5 5 5 4 4 5 6 9 14 12 8 8 14 19 12 1 0 3 4 4 4 4 5 5 6 6 8 9 8 9 14 19 15 12 5 -3 1 5 5 4 4 4 4 5 6 6 6 7 7 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 5 5 5 6 6 7 7 5 3 2 2 0 0 1 1 2 2 2 2 2 2 2 3 3 3 2 2 3 3 4 4 4 4 5 6 5 5 4 4 3 4 4 3 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 4 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 3 4 5 6 6 6 8 10 9 8 10 10 9 8 7 6 5 5 4 3 2 2 5 7 10 11 9 5 2 1 10 14 11 8 5 1 1 7 12 9 6 8 5 3 5 7 4 4 7 9 6 4 2 2 3 5 4 4 8 10 2 -3 5 4 5 4 4 7 4 3 6 4 5 8 10 8 6 6 6 6 6 5 8 13 13 6 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 6 5 5 4 3 3 3 6 11 18 21 22 21 19 17 15 15 15 13 11 8 6 6 6 6 6 5 6 7 7 8 7 7 8 7 3 2 3 4 4 5 5 4 4 3 2 3 5 8 10 9 7 7 7 8 9 9 8 8 9 9 8 7 5 3 2 4 6 7 8 8 8 6 4 2 1 1 1 2 3 3 4 4 4 4 4 4 5 4 3 2 2 1 1 2 2 2 4 10 16 13 5 4 4 4 5 6 5 6 8 7 6 7 10 16 20 17 12 8 8 9 10 6 4 4 4 5 4 4 5 5 5 5 7 9 9 8 11 16 14 11 11 5 2 5 5 4 4 4 5 5 5 6 6 6 7 7 6 5 5 5 6 6 5 6 6 6 6 6 7 7 6 5 5 6 6 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
nan nan nan nan nan nan 4 5 6 6 7 7 7 7 7 7 6 4 4 2 1 1 2 2 2 3 3 3 3 3 3 3 3 3 2 2 3 4 4 3 4 4 4 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 8 8 8 7 7 7 8 7 7 6 6 5 4 3 3 4 5 6 6 6 7 10 10 8 8 9 8 7 6 6 5 5 4 3 2 1 5 11 14 13 11 4 1 3 9 10 8 2 -2 -1 3 7 11 9 7 9 6 3 4 6 6 4 5 6 6 4 3 4 4 4 2 1 4 8 1 -1 3 4 4 1 6 8 5 7 7 3 4 8 9 8 7 6 4 5 6 6 9 13 10 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 5 6 6 7 8 8 7 7 7 7 7 7 7 7 6 7 7 8 7 6 5 4 3 3 3 3 5 6 9 12 15 17 18 19 20 22 21 19 17 14 10 8 8 8 8 9 12 14 16 15 13 12 11 8 3 4 5 6 6 6 6 5 5 4 3 3 6 8 10 9 7 6 7 8 9 8 7 7 7 7 7 5 3 -2 -9 -8 1 7 8 9 10 9 7 6 4 2 1 0 1 1 2 2 2 2 3 2 2 2 1 -0 -3 -5 -7 -5 -4 -3 0 6 13 13 8 5 4 3 4 5 5 7 11 10 10 13 11 11 14 14 10 6 6 5 5 5 5 4 5 5 5 4 4 4 5 5 7 9 9 7 7 9 9 6 6 3 2 4 5 5 5 4 4 5 5 5 5 6 6 7 6 6 6 6 6 5 5 6 6 6 6 6 6 7 6 6 6 6 5 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 4 5 6 7 7 8 8 7 7 7 7 7 5 4 3 3 3 2 2 2 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 6 8 8 8 7 7 8 9 9 9 8 7 5 4 4 4 5 5 6 6 6 7 9 10 9 8 8 7 6 7 6 6 5 4 2 1 2 8 16 14 9 8 0 1 6 4 -5 3 12 11 4 2 3 6 8 8 8 7 6 5 6 7 5 4 4 4 5 7 4 -0 -5 4 5 0 4 -1 -3 0 8 6 3 7 4 5 10 7 -1 -1 6 7 6 6 5 6 8 10 13 15 14 9 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 4 5 5 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 7 6 5 4 3 3 4 5 5 5 5 5 6 7 8 11 14 14 13 14 15 16 17 17 16 16 18 21 21 20 19 19 19 17 14 7 3 6 7 8 8 8 8 7 6 5 4 5 6 7 7 6 4 4 6 7 7 8 7 6 6 6 6 5 4 -1 -13 -19 -11 3 8 9 10 10 10 9 8 6 4 2 1 -0 -1 0 1 1 2 2 -0 -1 -2 -4 -6 -10 -14 -15 -13 -11 -7 -3 5 9 7 5 5 4 4 7 8 6 8 8 8 10 7 4 5 7 6 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 6 8 8 7 6 6 5 7 7 4 1 3 5 5 5 5 5 4 4 4 5 6 6 6 6 7 6 6 6 5 5 5 5 5 5 6 6 6 7 7 6 6 5 4 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 5 6 7 7 7 7 6 6 7 7 7 6 5 4 3 3 2 2 3 4 4 5 5 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 5 6 5 5 7 8 8 8 8 8 9 11 12 11 10 8 6 5 4 4 5 6 7 7 6 6 8 10 10 8 7 6 7 7 7 6 5 4 2 0 2 10 13 7 5 4 -2 3 6 7 -3 10 22 19 7 -2 -1 6 9 10 9 9 10 9 7 6 6 7 5 1 5 10 6 -2 -4 9 10 2 5 2 0 4 9 7 6 3 2 5 9 6 0 3 6 6 6 8 10 10 11 12 15 17 13 8 7 6 6 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 4 4 4 5 6 6 5 4 4 4 4 3 4 5 5 5 6 7 10 15 18 19 20 20 18 15 12 11 12 13 14 11 5 5 7 9 9 10 10 10 9 8 6 6 6 6 3 1 0 1 -0 -2 1 5 7 7 7 6 6 6 6 8 8 2 -6 -10 -1 7 8 9 9 10 10 9 9 8 6 5 3 1 -1 -2 -2 -2 -0 -2 -5 -8 -8 -8 -9 -11 -12 -13 -12 -8 -4 0 4 6 7 7 8 11 15 18 11 7 7 4 2 4 4 4 5 6 6 6 6 5 6 6 6 5 5 5 4 4 4 3 4 5 7 9 9 7 5 4 5 8 9 4 3 5 5 5 5 5 5 5 3 3 5 5 6 6 7 7 7 6 6 6 5 5 5 5 5 5 6 6 7 7 6 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 3 3 5 6 6 6 6 5 6 6 7 7 7 7 6 5 4 3 3 3 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 4 6 6 6 6 6 8 8 8 8 10 12 14 14 13 11 9 7 5 4 4 4 5 7 7 7 7 8 9 10 9 7 7 9 8 8 7 5 3 1 0 3 8 8 4 7 3 3 6 3 -1 -0 6 14 8 9 0 -0 6 7 8 12 12 9 8 8 7 9 12 11 8 11 10 4 0 4 11 9 6 7 5 5 9 10 7 6 4 6 6 8 6 6 8 6 5 8 13 14 10 8 11 16 15 10 7 7 6 6 5 5 5 5 4 4 5 5 4 5 5 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 7 8 8 8 8 8 7 6 5 4 4 5 6 6 5 5 4 3 3 3 3 3 3 2 2 2 2 4 6 8 11 11 8 6 6 6 5 3 3 6 6 5 6 8 9 10 11 11 11 10 8 8 7 7 6 3 -2 -5 -2 -2 -10 -13 -5 4 7 8 7 7 7 7 12 18 18 14 11 5 6 7 7 8 8 7 7 7 7 7 6 6 4 1 -3 -6 -8 -7 -7 -12 -13 -8 -5 -2 -1 -1 0 -1 1 3 3 3 5 7 8 10 14 20 25 21 14 10 4 3 4 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 4 4 4 4 4 5 7 8 8 7 5 5 5 7 5 4 4 4 4 5 5 6 8 4 1 4 5 5 6 7 7 7 7 6 6 6 5 5 5 4 5 5 6 7 6 6 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 4 4 5 6 5 5 5 5 6 6 7 7 7 8 7 7 5 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 4 3 3 3 4 4 4 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 4 6 7 6 6 7 8 8 8 9 11 14 16 17 16 12 9 7 5 5 4 4 5 7 8 8 7 7 8 10 10 8 8 10 10 7 6 4 3 1 0 2 5 6 5 8 4 8 7 4 0 7 1 1 -2 13 9 5 3 2 2 10 12 7 5 9 11 14 15 11 12 14 8 1 0 6 9 7 6 3 3 9 12 10 6 4 7 11 4 5 6 9 7 3 6 13 16 12 6 6 13 18 14 8 7 6 5 5 5 5 5 4 4 4 4 5 4 5 5 4 4 3 3 4 4 4 5 5 6 5 5 5 4 5 5 5 5 5 5 6 6 7 7 6 6 6 7 7 8 9 9 8 7 6 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 1 1 2 2 2 3 4 4 4 4 4 4 4 2 2 3 4 5 6 9 10 10 10 11 11 10 9 9 8 8 8 8 7 2 2 5 -3 -17 -20 -8 3 6 7 8 7 8 13 22 26 21 15 9 6 6 6 5 5 4 2 1 1 2 1 0 1 2 -1 -8 -13 -12 -10 -9 -5 -1 2 2 5 5 5 5 7 6 5 6 7 8 8 9 3 2 14 17 12 9 6 5 6 7 7 6 6 7 8 8 8 8 7 7 7 6 5 5 4 4 4 4 4 4 5 7 9 8 7 6 5 5 5 4 4 4 4 4 5 6 9 9 3 3 5 5 6 7 7 7 7 6 7 7 7 7 5 4 4 5 6 6 6 6 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 5 5 5 4 4 5 5 6 6 6 7 7 7 7 7 7 6 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 2 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 4 5 7 8 7 6 6 7 8 8 10 13 17 19 19 17 13 9 6 5 4 5 5 5 6 8 8 8 7 8 9 9 9 8 9 9 7 5 4 3 1 1 2 4 4 5 6 6 7 5 8 11 13 5 4 7 15 14 12 4 2 -1 3 7 4 5 10 13 14 13 6 6 8 4 3 4 5 7 8 3 -2 2 13 14 8 3 3 7 9 3 2 7 10 5 1 10 17 13 7 5 9 16 17 13 8 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 5 6 7 7 8 9 9 8 7 6 5 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 2 2 3 3 3 3 4 4 4 4 3 4 4 5 5 6 8 9 9 9 10 10 9 9 8 8 8 9 12 16 15 12 14 12 -1 -15 -19 -10 -2 0 3 4 7 10 16 22 17 6 5 5 4 3 2 0 -1 -3 -7 -11 -7 -5 -10 -12 -6 -2 -4 -7 -4 1 4 2 2 4 4 6 6 4 3 6 8 8 9 12 14 14 10 6 0 3 9 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 6 5 4 4 4 4 5 5 4 4 6 8 9 8 8 7 5 5 5 5 4 4 4 4 5 7 9 7 5 5 5 6 6 6 7 7 7 7 7 8 8 7 5 4 4 5 5 5 6 6 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 5 5 5 5 4 5 5 5 6 5 6 6 6 7 7 6 6 7 6 5 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 5 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 7 8 7 6 7 7 7 9 11 16 20 22 22 18 12 8 5 4 4 4 5 5 6 7 8 8 8 7 8 9 9 9 8 7 6 4 3 3 2 1 1 2 3 4 6 7 5 7 2 6 6 9 6 9 8 10 14 6 5 -2 -3 6 4 5 10 11 12 10 3 1 3 3 7 9 4 9 11 1 -6 2 10 11 5 2 3 7 6 1 -1 6 8 3 3 13 16 9 5 6 10 16 16 11 7 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 5 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 7 8 8 9 8 7 6 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 5 4 4 5 6 6 5 5 6 7 8 9 9 9 8 8 8 7 7 7 7 9 11 12 11 13 15 9 0 -15 -21 -16 -14 -11 -7 1 7 8 10 8 4 3 2 0 -1 -3 -5 -8 -9 -11 -15 -16 -11 -10 -12 -10 -2 3 4 5 7 10 5 2 5 7 8 8 7 6 8 12 15 16 14 13 15 15 16 11 5 7 7 7 6 6 6 6 7 6 6 6 6 7 7 7 8 8 7 7 6 5 4 4 4 5 5 5 4 5 6 7 8 9 8 6 5 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 7 9 9 9 6 5 5 5 5 5 5 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 4 4 5 5 4 5 5 5 5 5 6 6 6 6 6 6 7 7 6 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 5 5 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 2 2 2 3 2 3 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 6 7 7 6 6 7 7 8 10 14 19 22 23 22 17 11 7 5 4 3 4 5 6 6 7 7 8 8 7 8 9 10 9 8 7 6 4 3 2 2 1 1 4 5 5 7 5 4 6 -1 3 3 8 -1 7 3 3 9 6 7 2 -0 3 3 3 5 7 8 10 7 2 0 2 6 6 3 10 13 3 -3 2 5 6 3 3 6 10 5 -2 -2 3 4 3 8 14 13 6 5 7 10 17 16 10 6 4 2 2 3 4 4 3 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 7 8 8 8 7 7 7 6 6 6 5 4 5 5 5 9 12 8 4 -1 -11 -14 -15 -18 -16 -11 -2 3 4 4 3 2 1 -1 -5 -6 -6 -8 -9 -6 -4 -8 -6 -0 0 -1 1 6 8 8 7 9 9 7 10 12 10 13 19 17 13 17 21 22 15 7 6 12 10 6 7 7 7 6 6 5 5 6 6 5 5 5 5 5 6 6 7 8 8 8 7 6 5 4 4 4 5 5 5 4 5 5 7 11 10 5 5 7 7 5 5 5 5 4 5 5 5 6 6 5 6 6 6 6 6 6 6 6 8 10 10 8 6 5 5 5 5 5 5 4 4 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 6 5 4 4 4 4 4 3 3 3 4 5 5 5 4 3 3 3 3 4 4 5 4 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 2 2 2 1 2 2 2 3 3 3 3 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 6 7 7 9 12 17 22 24 23 20 15 10 6 5 3 3 4 5 6 6 7 7 7 7 8 8 9 10 9 9 8 6 4 3 2 1 0 2 6 7 7 8 4 2 2 4 5 7 7 -3 2 -1 1 -0 6 8 8 3 1 1 -1 -1 3 5 4 4 8 5 2 2 2 4 10 11 4 2 3 4 3 3 4 7 7 3 1 0 1 2 5 11 13 10 5 6 7 10 17 15 8 5 3 2 2 2 3 3 3 4 5 5 5 4 4 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 5 5 5 4 5 5 6 7 7 6 6 6 6 5 5 5 4 3 3 3 4 8 16 16 9 5 2 -0 -0 -5 -9 -18 -17 -10 -3 1 3 2 2 2 -1 -1 5 6 3 2 4 4 5 5 6 6 5 5 7 8 6 7 10 10 13 16 16 19 24 26 23 20 16 14 13 8 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 6 7 8 8 8 8 6 5 4 4 5 5 5 5 4 3 5 9 12 6 3 7 8 7 6 4 5 5 5 5 5 6 5 6 6 7 7 7 6 6 6 6 7 9 9 9 7 6 6 5 5 5 4 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 4 4 4 3 3 3 4 4 5 4 4 5 6 6 6 6 6 6 6 4 4 4 4 4 3 3 3 2 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 4 3 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 7 7 9 12 17 22 26 25 21 16 11 8 4 3 3 3 5 6 5 6 7 7 7 7 7 7 8 9 10 9 8 6 4 3 2 0 1 4 6 6 7 8 7 6 4 7 6 13 10 1 -8 -6 2 -2 7 9 11 7 2 2 0 -0 5 5 -1 0 14 15 8 5 2 4 9 8 5 5 6 4 2 3 7 8 3 1 5 4 1 3 7 12 12 8 6 6 6 10 17 15 7 4 4 2 2 2 2 3 3 4 5 5 5 4 4 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 6 6 6 6 7 7 7 6 5 4 4 5 5 4 4 4 4 4 5 5 5 5 6 6 5 5 5 4 4 4 3 3 4 4 7 16 25 22 12 5 4 6 7 2 -8 -17 -20 -16 -8 -3 -3 -2 1 5 7 10 12 9 6 6 6 6 6 6 5 5 4 5 5 6 6 8 7 12 18 19 17 17 19 17 12 7 6 9 9 5 4 5 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 6 7 7 8 8 7 6 5 4 4 4 3 5 4 3 3 5 9 9 5 6 9 9 7 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 7 7 8 8 7 6 6 5 5 5 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 3 3 3 3 3 2 2 3 4 4 4 4 4 4 5 5 5 6 6 6 6 5 4 4 4 4 4 2 2 2 2 3 4 3 4 3 3 4 4 4 4 4 4 4 3 4 4 4 3 4 3 4 4 4 3 3 3 3 3 2 1 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 5 4 4 5 5 6 7 6 6 7 9 14 20 25 28 29 25 18 12 8 5 3 2 3 4 4 5 5 5 6 7 7 7 7 7 8 8 9 8 7 6 4 2 1 2 4 5 6 7 5 6 6 9 10 8 5 14 12 5 -3 -6 2 2 4 7 10 11 2 2 2 5 8 8 4 5 13 14 10 8 3 4 9 11 7 5 7 4 0 4 9 10 6 2 3 2 1 5 10 12 11 8 7 5 5 11 17 12 6 5 4 3 2 2 2 2 3 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 6 6 5 4 3 3 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 3 3 4 5 6 12 20 25 20 14 11 8 5 4 1 -3 -9 -15 -17 -17 -18 -14 -10 -6 -4 -1 4 7 7 6 5 5 5 6 5 5 5 5 5 5 7 8 7 11 13 11 9 8 7 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 6 6 7 8 8 7 6 6 7 7 1 2 5 4 3 4 5 6 6 7 8 8 8 8 7 6 5 5 4 4 4 4 5 5 6 7 7 7 6 6 5 5 6 7 7 7 7 6 6 6 6 6 7 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 3 2 2 2 2 3 4 4 4 4 3 3 4 4 5 6 6 6 6 5 5 5 5 5 4 3 2 2 2 3 3 3 2 2 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 2 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 8 14 26 35 34 31 26 19 11 6 5 3 2 3 3 3 4 5 6 6 5 5 7 7 7 7 7 8 8 7 6 5 4 1 0 4 6 6 7 8 5 1 -0 8 10 8 5 9 11 11 6 2 5 7 4 3 3 8 2 -0 3 9 10 7 8 6 5 6 6 6 5 5 9 11 4 0 6 9 4 4 6 8 8 5 1 0 4 9 13 11 9 7 7 6 6 11 15 11 6 6 4 4 3 2 2 2 3 4 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 3 2 3 3 3 2 2 2 3 3 3 3 4 4 4 5 6 5 5 4 4 4 4 4 4 5 6 8 11 15 23 29 26 20 13 7 5 4 3 -3 -13 -17 -16 -15 -13 -12 -12 -7 -0 5 8 7 6 5 6 6 5 6 9 10 9 8 11 15 13 7 6 5 5 5 5 5 4 4 4 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 6 7 8 9 8 6 7 11 5 1 5 4 4 4 5 5 5 6 7 8 8 8 8 7 6 6 5 4 4 3 3 4 4 6 7 7 7 7 6 5 5 6 7 7 7 7 6 6 7 7 7 9 9 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 4 4 4 3 4 3 2 2 2 4 4 4 3 3 3 3 3 5 6 6 6 6 6 5 5 6 5 5 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 5 5 5 6 6 5 5 6 6 7 10 24 42 43 33 24 16 9 4 3 3 3 4 5 4 4 4 5 6 5 4 4 6 7 8 8 7 6 6 6 6 5 5 2 1 4 4 7 11 12 7 1 -1 3 6 12 9 7 9 8 5 7 8 8 6 2 -2 -0 2 1 4 12 12 5 3 3 3 4 3 4 3 4 7 4 -2 1 12 16 9 3 3 3 5 6 4 6 9 14 14 11 7 7 7 8 7 8 11 12 9 6 5 4 4 3 3 2 2 4 5 5 4 4 3 3 3 3 2 2 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 6 5 5 5 5 4 3 2 2 3 3 3 2 2 1 2 3 3 4 4 4 4 4 5 6 6 5 5 4 4 5 4 4 4 6 7 9 11 19 24 24 26 26 20 15 13 11 6 4 4 2 -2 -1 1 -0 1 4 7 8 8 9 9 6 7 7 11 17 19 19 20 20 17 11 5 4 5 5 5 5 4 4 4 3 3 3 3 3 4 4 3 4 4 4 5 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 8 8 8 7 7 8 5 5 5 4 4 4 5 5 5 6 8 8 8 8 7 7 7 6 5 4 3 3 3 3 5 6 6 7 7 6 6 6 6 6 7 7 7 7 6 7 7 8 9 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 5 5 3 3 3 4 4 4 4 4 4 3 3 4 5 6 6 5 5 5 6 6 6 5 5 4 3 3 4 3 3 2 2 2 2 2 1 2 2 2 3 3 3 3 4 4 4 5 5 5 5 4 3 3 3 3 3 2 3 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 8 15 33 42 31 20 10 2 0 1 2 4 6 7 7 6 5 5 5 5 5 5 4 5 6 8 8 7 6 6 6 6 5 5 4 3 4 4 6 11 12 10 7 5 3 5 11 7 2 3 4 3 4 3 6 7 5 -1 -2 4 4 5 13 15 8 3 1 0 2 5 4 -0 -0 4 1 -2 4 14 15 7 2 -0 -1 -0 4 9 14 17 19 15 11 8 9 8 8 6 5 8 14 12 6 5 5 4 4 2 2 3 3 4 4 4 4 4 3 3 2 2 2 3 4 4 4 5 6 6 5 6 6 5 5 5 5 5 5 5 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 4 5 5 5 5 5 5 5 6 6 5 3 3 4 4 3 3 2 1 2 3 3 4 4 4 4 4 4 5 5 6 5 5 4 4 4 4 4 4 4 5 7 8 10 10 13 18 24 26 26 25 24 23 24 23 17 10 8 9 8 8 12 17 16 12 17 18 13 14 14 17 22 23 21 18 13 9 5 4 5 5 5 5 5 4 3 3 2 3 3 3 4 4 4 4 3 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 6 6 7 7 8 8 7 6 5 5 5 5 4 5 4 5 5 5 6 7 7 7 7 7 7 7 7 6 5 4 3 3 3 4 5 5 6 6 7 7 6 6 6 6 7 6 6 6 6 7 8 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 5 5 5 6 6 5 4 4 5 5 5 5 5 4 4 3 4 4 5 5 5 5 5 6 6 5 6 5 4 4 4 4 3 3 3 2 2 2 2 1 1 2 2 2 3 3 3 3 3 3 4 5 5 6 6 5 4 3 3 3 3 3 3 2 2 3 2 2 2 3 3 3 2 2 3 3 3 3 4 4 4 5 5 5 6 5 5 4 4 3 3 3 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 3 4 3 3 3 3 3 4 4 3 4 4 5 6 6 6 7 6 6 7 11 22 31 26 16 10 3 -4 -5 -1 2 5 7 9 9 9 8 6 5 5 5 5 4 4 5 7 8 7 7 6 5 5 4 4 5 4 5 5 4 4 5 9 10 9 7 8 8 1 -3 -1 4 7 3 1 3 9 9 3 1 5 5 6 13 15 12 10 7 -1 1 7 5 4 -1 1 5 2 6 10 8 3 2 -0 -3 -5 1 9 15 22 20 15 11 7 8 7 6 5 4 10 18 14 6 5 5 5 4 3 2 2 3 3 3 4 4 3 3 3 1 1 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 5 4 5 4 4 3 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 6 7 7 8 10 14 18 22 23 24 26 24 25 27 23 18 18 15 16 21 24 24 23 25 26 27 25 22 16 15 15 12 6 4 5 5 5 5 6 6 5 5 3 3 3 3 3 3 4 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 7 8 8 7 6 5 5 5 4 4 4 4 5 5 5 6 6 7 6 6 6 7 8 8 7 5 4 4 4 4 4 5 6 6 7 8 8 7 6 7 6 6 6 5 5 7 8 8 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 5 6 6 6 5 5 5 5 6 6 5 4 4 4 4 4 4 4 5 4 5 5 5 5 6 6 5 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 3 4 4 6 7 7 5 3 3 3 4 3 3 3 2 2 2 3 3 3 3 2 2 2 2 3 3 3 4 4 5 5 6 5 6 6 6 5 5 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 3 3 3 4 4 3 3 4 4 4 4 3 4 4 5 6 7 7 6 6 7 9 15 24 25 16 10 7 3 -2 -5 -2 3 3 5 8 10 10 9 8 6 5 5 4 4 5 5 6 7 7 7 6 5 3 2 3 5 5 6 6 7 9 4 7 6 4 10 14 7 -1 -2 2 6 10 6 2 5 12 11 6 5 6 6 10 13 13 12 14 13 5 3 6 7 7 -0 2 9 4 5 8 5 2 1 2 1 -0 3 6 14 22 17 13 10 5 3 2 5 9 8 14 19 11 5 6 5 4 4 3 2 2 3 3 3 3 4 3 3 2 1 2 3 4 4 4 5 5 5 6 5 5 5 5 5 5 6 6 5 5 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 5 5 6 7 7 9 11 12 12 12 11 15 21 26 26 24 23 23 20 17 16 18 18 21 22 20 17 11 7 6 5 5 4 5 5 6 6 6 6 5 5 4 3 3 3 3 3 4 4 4 4 4 5 5 6 6 5 4 3 3 3 3 3 4 5 5 5 4 3 4 4 4 5 5 5 6 7 7 7 7 6 5 5 4 4 4 4 4 4 5 6 7 7 6 6 6 6 7 8 8 7 6 6 5 5 5 5 6 6 7 8 8 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 5 5 5 6 6 6 6 5 5 5 6 7 6 5 4 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 4 5 4 4 4 4 3 4 4 5 5 5 4 4 4 3 3 3 3 5 7 8 7 4 3 3 4 4 4 3 2 2 2 3 3 3 2 2 2 2 3 3 3 4 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 4 3 4 3 4 5 5 6 7 7 6 7 9 13 20 25 21 13 12 7 -1 -2 -3 -1 2 2 3 6 9 10 10 9 7 6 5 5 4 5 7 7 7 7 8 6 3 2 3 3 4 1 3 9 10 14 8 10 2 -5 10 14 7 3 -1 1 6 7 6 6 8 11 10 8 8 6 8 12 11 9 9 11 11 7 4 6 7 4 -2 2 11 4 2 6 7 3 -2 6 7 6 5 4 14 24 15 9 8 3 -2 -1 8 15 12 16 18 8 4 5 4 3 3 3 2 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 7 9 13 16 16 17 13 9 7 7 6 8 11 11 10 8 6 5 4 4 4 5 6 6 6 6 7 6 5 5 4 3 3 3 3 3 4 5 5 4 5 5 6 6 7 6 4 2 3 2 2 3 4 6 6 6 5 3 3 3 4 5 5 5 5 5 6 6 7 7 6 6 5 4 4 4 4 4 5 5 6 7 7 6 6 6 6 7 8 8 7 7 6 6 5 5 5 6 7 7 7 8 8 7 6 6 6 5 5 4 4 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 5 5 4 4 5 5 6 5 4 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 5 6 6 5 5 5 5 5 5 6 7 6 6 5 5 5 4 4 4 4 6 8 7 5 4 4 4 4 4 3 2 2 2 3 3 3 2 2 2 3 3 3 4 5 5 6 5 6 6 6 6 6 7 6 6 5 5 5 5 5 4 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 3 3 4 4 5 5 6 7 7 7 8 13 21 25 23 15 11 12 1 -9 -6 -2 -0 1 2 3 5 8 9 9 9 7 6 5 5 5 6 8 8 8 8 9 7 3 2 4 2 -3 -2 5 8 4 4 8 10 1 -5 7 12 11 9 2 3 4 2 4 6 7 6 8 10 9 7 9 8 5 5 7 9 7 3 3 3 4 2 -6 -2 10 9 6 5 6 2 -1 7 11 8 7 5 13 28 20 8 5 1 -5 1 14 18 13 15 18 10 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 4 3 3 4 5 6 8 9 8 6 5 5 4 4 4 5 6 7 7 7 7 6 6 5 4 4 3 3 3 4 4 4 4 5 5 6 7 8 7 6 4 3 2 2 1 2 3 5 6 7 5 4 3 3 3 4 5 4 5 5 5 5 6 7 7 7 6 5 4 3 3 3 4 5 5 6 7 7 7 6 6 6 7 8 7 8 8 7 6 5 4 5 7 7 7 7 7 7 7 7 6 6 5 4 4 4 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 6 6 5 5 4 4 4 4 4 5 4 4 4 5 5 5 6 5 5 4 4 5 5 5 5 4 4 4 4 4 5 6 6 5 6 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 6 7 7 6 4 4 4 5 4 3 2 2 3 3 3 2 2 2 2 3 3 4 5 5 5 5 6 6 6 6 6 6 7 7 6 6 5 5 6 7 6 4 3 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 5 5 5 6 7 7 8 12 22 28 26 18 8 4 -1 -14 -19 -9 -3 -1 2 3 3 5 7 8 9 8 7 6 6 5 6 7 10 10 10 9 9 7 4 3 3 1 -3 -2 5 7 2 1 7 5 1 0 2 11 14 6 9 9 4 0 3 6 6 6 8 10 8 7 8 5 1 1 3 6 3 0 2 0 4 5 -6 -4 10 15 11 6 2 -2 2 7 8 8 12 12 13 23 24 10 2 -2 -2 6 16 16 10 14 19 12 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 4 4 3 2 2 2 2 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 3 4 5 6 7 6 6 5 5 5 4 5 5 7 7 8 8 7 6 6 5 5 4 3 3 3 3 3 2 1 2 6 7 8 9 8 6 5 3 2 1 1 2 3 3 5 6 5 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 5 4 4 4 4 4 4 5 7 7 8 7 7 6 7 7 7 8 8 7 7 6 5 6 7 7 7 6 6 6 7 7 7 7 6 5 5 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 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 4 3 4 5 5 5 5 6 5 5 6 6 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 4 5 5 5 5 3 3 3 3 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 7 6 5 6 7 8 8 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 7 8 12 24 33 30 21 12 2 -1 -11 -24 -22 -11 -4 0 3 3 4 5 6 8 8 7 6 6 6 6 7 8 11 13 11 9 8 7 5 2 1 3 4 1 -0 2 5 7 6 2 2 6 1 3 6 3 8 5 3 2 4 5 7 8 8 8 6 5 5 5 4 2 1 1 1 3 6 2 2 7 -1 -3 13 21 9 4 2 -4 4 9 7 6 9 13 18 27 25 11 1 -3 0 9 15 11 9 14 20 13 5 5 4 3 2 2 3 3 4 4 4 4 3 3 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 5 5 5 5 5 5 4 4 4 5 5 5 4 5 5 4 4 5 5 4 4 4 4 5 5 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 2 1 1 2 3 3 3 2 1 1 2 3 3 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 7 8 8 7 7 6 5 4 4 4 4 4 3 3 1 -4 -5 3 8 9 9 8 6 4 3 3 2 2 2 3 3 4 5 5 5 5 5 5 4 3 3 4 5 5 5 5 5 6 7 7 7 7 6 5 4 4 4 4 5 6 6 8 7 7 7 6 6 7 8 8 8 8 7 6 7 8 8 8 7 6 6 6 6 7 7 6 6 6 6 6 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 5 4 3 4 5 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 7 8 8 8 6 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 6 7 12 24 37 37 24 11 7 5 7 -11 -25 -19 -9 -2 1 3 4 4 4 6 7 7 6 5 6 7 7 8 8 11 14 12 7 6 7 6 2 -1 1 6 10 9 10 12 9 3 0 4 11 5 -0 -2 2 5 3 3 5 4 3 6 8 7 7 6 4 3 7 9 6 3 1 0 4 7 6 5 3 0 -2 14 22 6 2 3 -2 4 5 3 6 7 10 23 34 26 9 -0 -3 1 10 13 10 9 13 19 14 5 5 5 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 4 4 4 5 4 5 4 3 3 3 2 1 2 3 3 4 4 3 2 1 2 3 3 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 3 3 3 3 4 5 5 4 4 5 5 5 7 7 8 8 7 6 6 4 3 3 3 3 3 4 4 -2 -9 -4 6 8 9 8 6 4 3 3 3 2 2 3 4 4 4 4 5 5 6 6 5 3 1 2 5 6 5 5 5 5 6 7 7 7 7 6 6 5 4 4 4 5 6 7 7 7 7 6 6 6 7 7 7 8 7 7 7 8 9 9 8 7 6 6 7 7 7 6 6 7 6 7 7 7 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 9 9 9 9 9 9 9 9 8 7 7 6 5 5 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 5 5 5 5 6 6 6 6 5 6 6 6 7 7 6 6 6 5 6 5 5 5 6 6 6 5 4 4 4 5 5 4 3 3 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 5 5 5 7 8 8 8 7 6 5 5 5 4 3 3 3 4 4 4 4 4 5 5 6 5 5 5 5 5 5 4 4 5 5 5 5 5 8 11 20 32 36 29 15 1 1 8 -0 -18 -22 -12 -4 0 3 3 3 4 5 6 7 7 6 6 7 8 9 9 10 13 17 12 6 4 7 7 5 3 4 4 5 9 12 12 8 3 3 8 13 12 7 -0 3 4 2 -1 2 3 4 6 6 6 8 8 2 2 9 12 10 7 6 5 6 5 5 5 5 0 -1 10 12 4 2 -1 -1 7 -1 -3 5 7 8 29 38 22 5 -2 -2 4 11 12 10 10 13 18 14 6 6 6 4 3 4 3 2 3 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 6 6 6 6 5 6 6 5 5 5 5 4 4 4 4 5 5 4 3 3 3 2 2 2 3 3 4 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 5 7 7 7 7 7 6 5 3 3 3 3 3 5 7 5 -3 -3 4 7 8 7 6 5 4 4 3 3 3 4 4 4 4 2 4 5 7 8 8 5 0 0 5 7 7 5 5 4 5 6 6 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 9 10 9 7 6 6 7 8 8 8 7 7 7 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 10 11 11 11 11 11 11 11 11 11 11 10 9 8 7 6 5 4 4 4 3 3 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 5 4 4 4 4 4 5 5 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 7 9 9 8 8 8 7 6 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 6 6 6 6 8 12 17 23 26 25 16 4 -5 -5 -7 -26 -27 -14 -4 -0 2 4 4 4 4 5 6 6 6 6 7 9 10 11 11 13 15 16 10 5 4 6 9 9 7 9 10 4 0 1 5 7 9 10 11 17 20 13 5 4 2 -2 -4 -1 2 5 5 5 7 11 10 1 0 9 12 11 10 9 9 8 4 1 5 9 5 1 4 6 5 3 -7 -4 13 5 -3 1 1 11 33 36 16 1 -2 1 7 12 12 10 11 15 18 14 6 6 6 5 4 4 3 3 3 3 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 6 6 5 6 5 5 5 5 5 5 4 4 4 4 4 3 2 2 2 2 3 3 3 4 5 6 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 6 6 6 5 4 3 3 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 4 4 3 2 2 2 4 7 7 2 0 4 7 7 6 6 5 5 4 4 4 4 4 5 6 6 1 1 5 8 10 10 9 5 1 4 7 7 6 5 4 4 5 6 6 7 8 8 7 7 6 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 7 6 7 9 9 9 8 7 7 8 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 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 9 7 5 4 4 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 6 7 7 8 9 9 8 6 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 6 8 7 8 11 13 17 17 17 15 11 1 -7 -7 -8 -16 -24 -16 -2 1 2 3 4 4 4 5 5 5 6 6 7 8 10 11 13 14 15 15 13 8 3 7 4 7 9 5 9 10 4 2 2 3 3 10 11 12 23 26 15 7 6 5 2 -1 -0 2 4 7 5 8 13 13 4 2 10 12 10 8 7 7 5 1 -2 1 8 13 7 -0 7 16 11 -6 -6 9 13 2 -1 4 21 33 25 9 -1 -2 3 10 12 9 8 12 16 18 12 6 7 7 5 4 4 4 3 3 3 3 4 4 3 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 2 2 3 3 3 3 4 4 5 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 3 3 4 3 4 4 4 4 4 4 4 5 4 4 3 3 3 3 2 2 2 3 9 11 4 2 5 6 7 7 6 6 6 5 5 5 5 5 6 8 10 6 1 5 7 8 8 9 9 5 5 7 7 7 6 6 6 5 6 6 6 7 7 7 7 7 6 6 6 6 7 6 5 6 6 6 6 5 6 6 6 6 7 8 8 8 9 9 9 8 8 8 9 9 8 8 7 8 9 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 6 6 6 5 5 5 5 6 7 8 9 10 12 13 13 13 11 9 7 6 4 3 3 2 2 2 3 3 3 4 3 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 7 7 6 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 8 12 9 12 15 14 14 11 11 8 1 -7 -7 -2 -3 -3 -0 2 4 3 3 3 4 4 5 5 5 6 6 7 8 9 10 13 16 18 17 13 9 4 1 6 5 4 3 3 9 6 1 1 1 1 -1 4 3 8 21 24 15 7 5 6 6 4 4 4 7 10 4 3 10 12 8 6 10 12 9 4 1 3 6 6 0 -6 1 14 13 3 10 20 17 4 -1 -0 14 15 10 14 27 28 16 3 -3 -0 6 11 10 6 7 13 17 19 12 6 7 7 6 5 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 5 5 6 5 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 4 4 5 6 7 7 6 4 3 4 4 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 3 3 2 1 2 0 3 9 8 4 5 6 6 7 7 7 7 6 5 6 6 6 6 7 10 11 7 6 7 7 6 7 7 7 6 7 8 8 7 8 8 8 7 5 5 6 7 7 7 6 6 5 6 6 6 6 5 5 5 5 5 5 6 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 3 3 3 3 4 4 5 6 8 10 11 13 14 12 11 10 7 6 5 4 4 3 3 4 3 3 3 3 3 3 3 3 3 2 3 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 6 6 6 6 7 6 6 6 6 6 5 5 5 6 6 6 6 5 5 4 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 10 14 13 14 12 8 7 7 11 9 4 7 13 13 10 10 10 7 5 3 4 4 5 5 5 5 6 6 6 7 8 11 14 17 19 21 19 14 9 4 4 6 5 3 3 6 8 8 12 13 5 -2 -3 -1 -2 4 13 14 11 7 5 5 6 8 9 7 10 9 3 0 6 9 11 9 11 13 8 1 -0 3 3 4 4 1 3 9 12 10 9 10 8 8 6 -4 3 24 26 21 24 19 7 -3 -2 2 7 10 8 5 7 13 18 18 10 5 7 7 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 5 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 3 3 3 3 3 4 5 5 5 5 4 4 4 5 6 7 6 5 4 3 3 3 3 2 3 3 3 3 4 4 4 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 4 6 6 2 3 2 -1 -2 4 6 5 6 6 6 6 7 7 6 6 6 6 6 7 7 8 9 8 7 7 6 6 5 6 6 6 7 7 8 8 9 10 11 9 7 6 5 6 6 6 6 6 5 5 5 6 6 6 5 5 4 4 5 5 5 5 6 6 6 6 6 7 8 8 8 9 10 10 10 10 9 8 8 7 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 3 3 3 4 3 3 3 3 3 3 4 6 7 9 12 13 14 14 13 11 9 8 7 6 5 5 5 4 4 3 3 3 2 1 1 1 2 3 3 4 5 5 5 5 5 4 3 4 4 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 7 13 18 16 10 5 3 5 7 12 12 16 29 31 23 14 10 7 5 4 4 5 5 5 5 5 6 6 6 6 8 11 15 17 18 19 20 18 13 9 7 8 9 7 4 5 8 7 10 19 23 12 2 0 -3 -5 5 10 6 5 7 3 2 7 11 8 5 7 6 4 2 4 8 15 17 15 12 5 -1 3 8 6 1 2 10 7 5 12 12 3 5 6 6 10 -2 -12 15 35 27 17 6 -5 -5 1 3 6 10 8 5 7 12 16 16 10 6 7 8 6 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 3 4 5 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 3 3 4 4 3 4 5 5 5 5 5 4 4 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 5 10 13 9 6 5 2 -3 0 5 5 6 6 5 6 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 5 6 6 5 5 5 6 6 7 8 9 10 10 10 8 7 6 6 6 5 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 8 9 10 10 10 10 9 8 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 7 10 12 14 14 14 13 12 11 9 8 7 7 6 5 4 4 3 2 2 1 1 1 1 3 3 4 5 5 5 5 5 4 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 6 8 13 18 19 13 6 3 4 6 7 10 13 18 28 21 10 3 1 2 4 6 6 6 6 6 6 6 6 5 6 7 9 14 18 17 15 15 16 15 10 5 3 6 11 10 9 9 7 9 9 15 15 9 6 11 -2 -4 9 8 2 6 6 0 3 13 11 3 2 3 5 8 7 4 8 14 20 19 10 -0 -5 4 13 8 -1 7 16 7 7 18 10 -2 5 13 11 11 4 -9 9 35 25 10 -4 -10 0 6 4 7 10 7 5 8 11 14 17 13 7 7 8 6 5 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 5 5 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 4 4 4 4 5 6 5 5 4 3 4 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 5 4 4 3 4 6 11 17 16 9 7 6 2 1 4 6 7 6 6 6 5 6 6 6 6 7 7 7 7 7 8 8 7 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 9 9 8 7 6 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 6 7 8 10 10 11 11 10 9 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 5 7 9 10 12 12 12 12 11 11 10 9 9 7 6 5 4 4 3 2 1 1 1 2 3 3 4 4 5 5 5 4 4 4 5 5 5 5 5 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 5 6 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 8 15 18 18 13 7 4 3 4 4 6 8 11 8 0 -7 -9 -6 -1 3 6 7 7 7 6 5 6 6 6 5 6 7 10 16 18 15 14 13 11 12 9 5 3 3 6 10 12 12 8 6 0 -2 3 9 15 16 -2 -0 8 3 4 10 7 0 7 13 7 2 4 3 6 10 8 6 15 15 14 15 6 -1 -2 6 12 2 1 13 14 8 13 15 6 1 5 12 13 11 15 8 20 33 20 -1 -17 -10 12 18 16 15 13 7 4 7 11 14 18 15 7 7 7 6 5 4 4 3 3 3 3 3 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 1 1 0 1 2 3 5 6 6 6 6 6 5 4 3 4 5 5 5 5 4 4 5 9 16 18 10 4 7 3 2 4 6 8 8 7 6 5 5 6 6 6 6 7 7 7 7 7 7 6 5 4 4 5 4 5 5 5 5 5 5 5 6 5 5 6 7 8 9 8 8 7 6 6 5 5 5 6 7 7 7 7 6 6 5 5 5 5 5 6 6 6 5 4 3 2 3 4 5 7 7 9 10 10 10 10 10 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 6 7 9 10 11 12 13 12 11 9 8 7 6 6 6 6 5 4 2 2 2 2 3 3 4 4 5 5 5 4 5 5 6 6 6 6 5 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 6 6 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 6 6 6 9 16 18 12 7 5 4 3 3 4 6 8 4 -6 -20 -18 -10 -2 4 7 8 7 6 6 6 6 6 7 7 7 7 7 10 15 16 15 15 10 6 9 6 5 7 5 3 5 7 10 10 3 -7 -9 -4 2 17 12 -1 3 3 3 10 17 8 1 5 4 1 8 10 7 9 9 6 12 21 19 10 7 -0 2 8 7 6 2 6 6 2 7 12 7 5 8 9 9 5 8 19 21 32 31 13 -14 -25 -4 23 32 31 26 16 9 7 8 11 14 17 15 8 6 6 6 5 5 4 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 4 4 3 3 4 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 3 4 4 4 4 5 5 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 1 -1 -2 -3 -2 -0 3 5 6 6 6 5 4 3 3 4 5 6 6 5 4 5 8 13 17 10 2 3 6 4 4 5 8 9 8 6 5 4 5 5 6 6 6 6 6 6 6 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 8 8 8 7 6 6 5 5 6 7 8 8 8 8 7 6 5 5 6 5 5 6 7 7 6 5 4 3 3 4 5 5 6 8 8 9 9 10 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 5 7 9 11 12 13 12 12 10 9 8 7 6 6 9 9 7 5 3 3 3 3 4 4 5 6 6 5 5 5 5 6 7 7 7 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 3 4 4 4 5 5 5 5 6 6 6 5 5 5 5 6 6 5 7 14 17 11 7 5 4 3 3 5 8 7 -1 -9 -13 -7 -0 5 7 7 7 6 6 5 6 7 7 8 8 7 8 9 12 14 13 14 13 5 4 6 1 1 7 9 6 4 4 7 7 3 1 3 0 -0 7 3 -1 4 5 6 14 21 11 5 3 -0 4 14 12 8 7 3 3 10 14 15 11 6 -1 4 12 6 1 2 1 -3 -3 5 6 1 5 11 10 7 3 7 15 28 39 27 7 -16 -18 4 23 31 31 25 15 9 8 9 10 11 15 16 10 6 6 5 6 6 4 3 3 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 3 3 2 2 3 3 3 3 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 5 5 5 5 4 5 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 5 5 4 4 4 3 -3 -8 -7 -7 -4 2 5 6 6 6 4 3 3 4 5 5 6 5 4 4 6 12 17 14 6 2 5 4 4 4 7 8 8 6 5 5 5 6 6 5 5 5 6 6 5 5 4 5 5 5 4 4 4 3 3 3 4 4 5 5 5 5 5 6 6 5 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 6 4 3 4 4 5 5 6 6 7 8 8 9 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 5 6 7 9 10 11 12 13 12 11 10 8 7 7 9 10 9 6 4 4 4 4 6 6 7 7 7 6 5 5 5 6 6 7 7 6 5 5 4 4 5 5 5 5 5 5 4 5 4 4 4 3 3 3 3 4 4 4 3 4 4 4 5 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 3 3 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 12 17 15 9 6 5 3 3 7 7 4 1 -0 1 3 6 7 7 7 6 6 6 6 6 7 8 9 9 9 10 13 14 13 10 9 8 6 11 11 5 2 5 5 6 7 5 3 1 4 13 18 13 8 2 -5 -4 1 7 6 11 14 8 10 8 5 11 13 5 0 -2 -3 1 5 6 9 10 6 8 8 11 4 -2 -1 -2 -1 5 3 -5 -5 3 10 8 2 1 4 9 31 40 23 3 -11 -7 9 17 19 19 16 10 7 8 9 9 11 17 19 11 5 6 6 6 6 5 4 3 3 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 5 6 7 6 5 4 4 4 4 4 3 3 3 4 5 5 5 5 6 5 5 4 3 2 2 2 3 3 3 4 4 4 3 3 3 4 5 4 3 3 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 3 3 3 3 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 5 8 3 -4 -6 -7 -9 -5 0 5 6 5 5 4 3 3 4 5 6 6 5 4 6 11 16 17 8 5 5 5 4 5 6 7 8 6 4 4 6 7 6 5 5 5 5 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 6 5 5 5 5 4 5 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 6 6 6 6 4 4 4 4 4 4 5 5 6 6 7 8 9 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 2 3 2 2 3 3 3 3 3 3 3 3 4 4 5 5 6 6 7 10 12 13 13 12 11 9 9 9 10 9 7 6 5 5 6 7 8 9 8 7 7 6 5 5 5 5 6 6 6 5 5 5 5 5 6 5 5 5 5 6 5 5 4 4 3 2 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 5 4 3 3 4 5 6 6 6 6 6 5 5 5 5 6 6 6 7 8 10 19 23 13 7 4 3 3 7 5 1 1 3 5 6 7 7 6 6 6 6 6 7 7 8 11 12 12 13 14 14 12 9 8 8 7 9 13 14 11 8 2 2 5 7 4 -1 -1 6 13 12 7 4 8 10 5 2 3 1 3 2 2 9 10 9 11 7 3 -1 -5 -3 2 7 10 9 4 2 13 14 12 5 -1 -2 -2 6 15 8 -7 -5 2 6 3 -1 1 4 8 30 37 20 0 -7 3 13 15 13 12 9 6 5 6 8 8 12 18 14 6 5 7 6 6 6 5 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 3 3 3 3 4 5 5 5 6 6 6 5 4 4 3 4 3 4 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 5 4 4 4 4 5 5 4 3 2 0 0 2 4 4 5 4 4 4 3 4 9 10 4 1 0 -3 -5 -1 4 6 5 5 5 4 3 3 4 5 5 5 4 4 8 12 11 6 5 6 5 4 4 5 7 7 5 3 4 5 6 6 6 5 6 6 5 5 5 5 5 6 7 6 5 6 5 3 3 3 3 3 3 4 5 5 5 6 6 6 5 4 4 6 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 7 7 6 5 5 5 6 6 5 5 4 4 4 4 4 3 4 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 3 4 3 3 3 3 3 4 3 3 4 3 3 4 4 4 4 4 4 4 4 5 6 8 10 11 13 13 13 12 11 10 9 8 7 6 6 7 8 9 10 9 7 6 6 5 4 4 4 5 5 6 6 5 6 6 6 6 6 5 5 6 6 6 6 5 4 3 3 3 3 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 6 7 8 8 12 25 27 14 6 4 3 5 4 -1 -2 -1 2 5 7 7 7 7 7 7 7 6 6 7 12 16 14 14 15 13 10 9 8 9 10 8 6 8 8 7 5 4 3 5 7 5 1 2 6 2 -3 -2 1 15 26 20 11 5 -1 -1 -0 3 7 7 7 11 12 10 1 -2 2 7 10 11 6 -2 -2 6 9 6 5 1 -1 3 11 15 8 -0 1 1 -3 -3 1 3 5 12 27 30 16 1 -0 10 15 15 12 10 6 5 6 7 6 7 11 12 7 3 7 11 8 6 6 5 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 5 5 4 5 4 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 5 5 4 3 3 3 3 3 3 4 4 4 5 5 5 6 6 5 5 4 4 4 4 5 3 -1 -5 -5 -2 2 5 5 4 4 3 2 3 6 8 7 6 6 4 1 1 4 5 5 6 6 5 5 4 3 3 4 5 4 5 6 6 5 4 5 6 6 5 4 5 6 6 5 4 4 4 4 5 5 6 6 6 6 5 5 5 6 6 6 7 6 6 5 4 4 3 3 2 3 3 4 5 5 6 7 6 5 5 5 5 6 7 7 7 7 7 7 7 8 8 8 7 7 8 7 7 7 7 6 6 5 6 6 6 6 5 5 4 3 3 3 3 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 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 3 4 5 8 10 11 13 14 13 11 9 9 8 8 8 8 9 10 10 8 7 6 6 6 5 4 4 4 5 6 6 6 6 7 7 7 7 6 6 5 6 6 7 6 5 4 3 3 4 4 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 3 3 4 5 5 5 5 6 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 4 5 5 6 8 9 9 15 27 26 13 7 5 5 9 6 -2 -3 3 7 8 9 8 7 6 7 7 6 5 6 11 18 16 11 13 12 9 8 8 8 9 11 10 8 4 2 4 5 7 6 5 6 6 4 5 5 1 5 5 -3 3 16 17 15 9 2 -1 3 5 6 6 3 7 15 10 1 3 9 10 11 10 5 1 3 3 1 -1 6 8 10 20 16 8 1 2 4 1 -5 -2 6 5 6 17 22 19 11 5 8 14 15 13 11 8 5 5 7 7 6 7 10 9 6 5 9 15 12 6 5 5 5 5 4 4 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 6 6 5 4 3 3 4 4 4 3 3 3 4 5 5 4 4 3 4 4 4 5 5 5 4 4 4 4 4 4 3 3 4 5 5 6 6 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 3 -1 -6 -8 -5 1 5 6 5 3 1 1 2 3 6 6 6 6 6 1 -4 -0 5 6 6 6 6 6 5 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 5 6 6 5 4 4 3 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 5 6 6 6 6 6 5 5 5 6 7 7 6 5 6 6 6 7 7 8 8 7 8 7 7 7 7 7 6 6 6 6 6 7 6 5 4 3 3 3 3 3 3 4 6 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 5 4 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 4 4 4 4 4 4 3 3 4 5 7 9 11 11 10 9 9 8 8 8 9 9 10 10 9 8 7 7 6 6 5 4 4 5 5 5 6 6 7 7 7 7 7 6 5 5 6 6 7 6 5 5 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 5 6 8 9 9 8 16 27 24 12 7 6 7 10 11 14 14 15 13 11 9 7 6 6 6 6 5 5 10 19 22 14 10 11 9 9 10 10 9 8 9 8 8 8 8 8 7 8 8 6 5 4 4 7 3 5 19 12 -2 -0 3 4 9 7 3 2 5 8 8 5 1 0 5 1 4 9 10 10 11 12 11 10 10 7 5 6 12 15 15 21 12 -1 -3 3 7 4 1 3 5 9 17 20 15 7 5 8 13 16 15 12 9 5 4 6 7 6 6 8 9 9 7 6 9 18 15 6 5 6 6 5 4 4 4 4 4 4 4 4 4 4 3 2 3 4 4 4 3 4 4 5 5 6 6 6 5 4 4 4 3 4 4 3 3 3 4 5 5 4 3 3 3 3 4 5 4 4 4 3 3 3 3 2 2 2 3 5 5 6 5 5 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 6 7 6 5 5 4 4 4 4 1 -2 -4 -2 4 7 7 3 -0 -3 -3 -2 2 5 6 6 6 6 3 -6 -9 1 6 6 6 7 6 7 6 5 5 5 5 5 5 5 4 5 4 5 5 4 4 4 5 5 6 6 5 5 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 6 6 7 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 6 5 4 3 3 3 3 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 4 4 4 4 5 5 5 5 4 3 4 5 6 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 6 6 6 6 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 7 7 6 6 5 5 5 5 5 5 4 3 4 4 4 5 6 6 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 9 10 10 8 8 17 27 23 12 7 6 7 8 13 20 22 16 11 8 6 5 4 5 5 5 4 7 15 22 18 11 10 10 10 13 14 13 12 10 9 6 5 8 11 11 4 4 10 8 1 -1 2 6 3 11 25 13 8 11 4 0 3 3 3 5 6 10 9 3 2 -0 -3 -3 3 8 9 9 10 11 13 15 13 11 11 12 14 16 13 9 -1 -6 1 10 15 8 3 4 6 13 21 17 6 -1 3 11 16 16 14 11 8 4 4 6 6 4 5 8 9 7 5 7 11 18 16 7 5 6 6 6 5 4 4 4 3 4 5 4 4 4 3 2 3 3 4 4 4 4 4 5 5 6 6 6 4 4 3 3 4 4 3 3 3 4 5 5 5 4 3 2 3 4 4 4 4 4 4 4 4 3 3 3 2 2 3 4 5 5 5 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 5 4 4 5 5 3 2 3 7 10 7 1 -4 -7 -5 -2 3 5 6 6 6 7 5 -0 -3 2 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 6 5 3 4 6 6 6 7 7 6 6 6 4 3 3 4 5 5 5 4 3 3 3 4 4 4 4 4 3 4 4 4 5 4 3 4 4 4 5 5 6 6 6 6 6 6 6 6 5 4 4 4 5 5 6 7 7 7 8 8 7 8 8 8 7 7 7 7 7 7 7 6 5 3 4 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 4 4 4 5 5 5 4 5 4 4 5 5 5 6 7 7 7 7 7 7 7 9 10 11 11 11 10 9 8 7 8 7 7 6 6 5 5 5 5 5 6 7 7 7 7 6 6 6 7 7 6 5 5 5 6 5 5 4 4 4 4 4 5 5 6 6 5 5 6 6 6 5 5 5 5 5 4 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 6 9 12 11 8 7 11 22 29 21 10 5 4 5 6 7 4 7 7 6 4 4 4 4 4 4 4 4 8 16 18 12 9 8 7 9 13 15 17 18 13 11 8 2 3 7 11 3 -1 6 9 2 -1 2 3 6 14 20 9 15 17 7 3 3 3 5 7 8 10 6 1 1 2 -0 1 3 5 8 9 10 12 12 13 11 10 9 9 8 8 11 8 -5 -9 1 14 17 9 5 10 13 16 16 8 -3 -5 6 13 16 16 13 10 7 4 5 7 5 4 6 10 9 6 5 6 11 19 18 8 4 7 8 6 5 5 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 5 6 6 5 4 4 3 3 3 3 3 3 3 4 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 3 4 4 5 5 6 6 6 6 6 7 6 6 6 5 5 5 5 5 5 7 10 11 6 0 -4 -4 0 3 5 5 5 6 6 6 6 4 1 2 5 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 7 8 6 5 7 8 7 6 7 8 8 8 7 6 5 5 6 6 6 6 5 5 6 5 5 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 6 6 5 5 6 7 6 6 5 4 4 4 5 5 6 6 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 6 5 5 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 7 7 6 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 4 4 5 5 5 4 4 4 4 5 6 7 6 6 6 6 6 8 9 11 12 12 11 10 10 9 9 8 8 7 7 7 6 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 6 5 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 9 12 12 9 7 11 22 33 30 16 5 1 -2 1 1 -4 -6 -3 1 3 3 3 4 4 4 4 4 5 9 14 14 10 8 7 6 5 6 10 15 18 13 11 9 5 4 7 14 9 0 2 6 6 3 3 3 10 14 5 7 15 11 5 4 4 4 5 6 8 8 4 -0 1 3 3 6 7 8 9 6 12 15 14 8 5 5 6 4 2 3 12 14 -0 -8 3 12 6 2 9 18 20 16 9 -1 -5 2 10 12 14 13 11 9 6 4 6 8 7 5 7 9 9 6 5 5 12 21 19 8 4 6 7 7 5 5 4 4 4 4 4 4 4 3 3 2 3 3 4 4 4 4 4 5 5 5 6 5 4 4 4 3 3 3 3 3 3 4 5 5 5 4 4 3 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 6 5 5 4 4 3 3 2 1 2 3 3 5 5 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 6 9 12 10 5 1 1 4 6 6 6 6 6 6 7 6 5 8 -1 -5 5 6 6 7 8 8 8 7 7 6 6 7 6 6 6 5 5 5 6 8 11 11 8 8 8 7 6 6 7 8 9 9 9 7 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 5 5 4 4 4 4 6 6 5 5 6 7 5 5 5 5 4 4 4 5 5 5 6 6 6 7 8 8 8 9 8 8 7 6 6 6 7 7 7 5 5 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 5 4 4 3 4 5 5 6 6 5 5 6 6 7 8 10 12 13 13 12 11 10 10 9 8 8 8 7 6 5 5 5 4 5 6 6 7 7 7 6 6 6 5 5 5 5 5 6 5 5 5 4 4 3 4 5 6 6 7 6 6 5 4 4 4 5 5 4 3 3 3 3 4 4 5 5 4 5 5 5 5 5 6 9 12 13 10 9 12 20 32 37 24 8 2 -3 -6 -3 -7 -11 -8 -2 2 4 4 3 3 3 4 5 5 5 8 10 11 10 9 8 8 6 4 4 10 12 10 9 11 12 8 10 12 14 14 9 4 4 4 5 8 14 11 -2 8 12 2 2 4 5 5 4 6 8 8 4 1 3 4 6 8 10 10 9 5 9 17 17 4 1 4 4 1 1 7 17 14 5 1 8 10 -2 -4 7 14 13 15 8 -2 3 15 14 10 11 10 8 7 5 5 7 9 9 7 8 8 7 6 5 8 17 23 15 5 5 6 7 7 6 5 5 4 4 5 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 5 5 4 4 3 4 4 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 3 4 5 6 6 7 7 7 6 6 6 6 6 6 6 5 5 4 5 7 12 14 11 5 2 3 5 6 7 6 7 7 7 7 6 6 9 6 1 5 7 7 7 8 8 8 8 8 7 8 8 7 7 7 6 6 7 6 7 9 7 3 6 7 6 6 5 6 6 8 9 10 8 6 5 5 6 6 6 7 7 7 8 7 6 5 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 5 5 4 4 5 4 4 4 5 5 5 5 6 6 6 7 8 8 8 9 8 7 6 6 7 7 8 7 6 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 6 6 6 6 5 6 6 6 5 5 6 6 7 7 7 7 7 7 7 6 5 5 4 4 4 5 5 5 5 4 4 3 4 4 5 4 4 5 5 6 6 7 8 10 12 13 13 12 11 11 10 9 8 7 6 6 5 4 3 4 5 5 6 6 7 7 7 7 6 5 5 5 5 6 6 5 5 4 5 4 4 4 5 6 7 6 6 5 5 4 4 4 5 4 4 4 3 3 3 4 4 4 4 4 5 5 6 6 6 8 12 14 11 11 15 20 23 27 26 15 5 1 -5 -4 -7 -11 -8 -0 5 6 4 3 2 3 4 5 6 6 7 7 9 12 14 13 11 13 12 6 3 7 9 8 8 13 14 10 11 5 12 12 11 6 1 -0 3 8 9 6 6 15 11 4 5 6 4 3 5 8 10 7 4 4 7 6 4 8 13 7 5 8 7 11 15 6 5 7 5 2 2 6 6 -0 4 8 11 13 2 -0 3 7 9 11 1 -0 17 26 17 10 9 9 7 5 5 7 9 10 10 8 8 7 7 6 6 13 23 20 8 3 5 6 7 7 6 5 4 4 5 5 4 3 3 3 3 3 3 3 4 4 4 4 5 4 5 6 6 5 5 4 3 3 3 3 4 3 4 4 4 4 4 4 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 3 3 3 2 2 2 3 4 5 6 6 6 6 6 6 6 5 6 6 6 6 5 4 4 6 10 15 15 9 2 -1 1 5 6 6 7 7 7 7 6 6 7 8 5 3 5 7 7 7 7 7 8 8 8 7 7 7 7 7 8 7 7 7 6 7 8 6 -3 -1 5 5 6 6 5 5 6 7 9 10 8 6 5 5 5 6 6 6 6 7 7 6 6 5 5 5 5 4 4 4 4 6 6 6 6 5 5 5 5 5 5 6 6 4 3 3 4 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 9 9 8 8 8 7 7 7 7 6 5 4 4 4 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 6 7 7 6 6 5 6 7 7 7 7 7 7 7 7 6 6 5 5 5 4 5 5 6 6 5 5 4 3 3 3 3 3 4 5 5 5 5 5 7 9 11 12 12 12 11 11 10 9 8 7 6 4 3 3 3 4 4 5 6 7 7 8 7 6 5 5 5 6 6 6 5 5 5 5 4 4 5 6 6 6 6 5 5 4 5 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 6 6 6 7 10 14 14 12 14 18 20 19 14 10 9 8 7 4 3 -4 -4 4 11 10 6 2 1 1 2 3 5 6 7 7 8 10 16 18 14 11 14 13 7 4 6 6 5 7 12 11 10 7 6 9 6 11 11 2 -1 1 3 1 5 16 21 13 13 9 6 1 2 7 9 9 8 6 8 10 4 -2 3 10 1 -0 11 6 8 12 10 11 10 8 6 6 9 6 -2 2 5 11 14 9 6 1 1 17 10 -1 9 27 28 16 10 9 9 7 6 7 9 9 9 9 8 7 6 6 6 8 17 24 17 5 4 5 5 6 6 5 5 5 5 5 4 3 3 3 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 4 4 3 3 4 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 3 3 2 2 3 4 5 5 5 5 6 6 6 6 6 5 6 5 5 4 4 5 6 10 14 16 12 3 -6 -6 0 5 6 6 6 6 7 7 6 6 6 8 1 -4 2 7 6 7 7 8 8 8 8 4 3 4 4 4 4 5 7 7 6 6 7 10 4 -1 5 6 6 6 6 6 5 5 7 9 8 7 5 4 4 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 6 5 3 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 9 9 9 9 9 8 7 7 8 7 6 5 5 5 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 7 7 7 7 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 6 6 5 5 5 6 7 6 6 5 4 4 3 3 3 3 4 4 4 3 3 4 5 7 9 11 12 11 11 11 10 10 9 7 5 4 3 3 3 4 4 5 6 7 8 8 6 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 6 6 6 7 9 13 15 14 14 13 11 15 19 15 6 6 12 15 12 6 -1 4 12 11 6 0 -2 -2 -1 1 3 5 6 6 9 12 17 21 19 13 11 12 12 8 4 3 2 2 6 7 8 9 5 10 6 7 11 8 2 3 5 3 -1 5 10 9 10 12 6 2 1 3 7 7 8 8 8 9 9 3 -3 -0 7 4 4 7 0 7 8 11 12 8 8 7 8 10 11 10 9 3 4 10 15 8 -2 1 13 7 12 23 26 20 13 10 9 8 8 7 8 9 8 8 8 6 5 5 6 6 10 20 23 13 4 4 5 5 6 6 5 5 6 5 5 4 3 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 4 4 5 6 6 7 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 5 4 4 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 6 10 14 16 15 8 -3 -9 -4 2 5 6 6 6 7 7 7 6 6 6 8 5 -3 0 6 7 7 7 8 8 9 8 6 3 1 1 1 0 -1 2 6 6 6 5 7 9 4 5 6 6 6 6 6 6 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 6 6 6 7 7 7 6 5 6 6 5 5 5 5 4 4 4 5 5 5 6 5 5 6 6 7 7 7 8 9 10 10 10 9 9 8 7 7 6 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 7 7 6 6 6 7 7 6 6 6 6 7 6 6 5 5 5 6 6 6 7 7 8 8 7 7 6 6 6 6 7 7 6 6 5 4 4 4 3 3 4 4 3 2 2 2 2 3 5 8 9 9 9 10 10 11 10 10 8 5 4 3 3 4 4 4 6 7 7 8 7 6 6 6 6 5 5 4 4 5 5 5 6 6 6 5 4 5 5 5 4 4 4 4 4 4 4 3 3 3 4 3 4 4 5 5 6 7 10 13 15 16 16 15 13 7 4 11 20 20 12 7 8 10 5 -3 -5 2 5 2 -3 -6 -6 -5 -3 -1 2 5 7 12 19 21 22 19 15 13 12 11 11 9 7 4 3 2 3 4 7 4 -0 0 2 8 5 -1 1 6 9 5 -0 0 1 -1 4 4 1 -1 2 5 5 4 5 6 8 10 11 8 3 4 9 8 8 3 -2 4 -0 6 10 7 7 6 6 7 9 14 13 1 -3 9 20 9 -0 13 7 2 18 23 18 12 10 10 9 8 7 8 8 7 6 7 8 6 4 4 6 7 11 21 23 11 4 5 6 5 5 6 6 6 6 5 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 5 6 7 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 5 5 6 6 5 5 5 6 6 6 6 5 4 3 4 6 9 15 18 17 12 4 -0 -1 2 5 5 5 5 6 7 9 10 8 6 6 8 9 6 5 6 7 7 8 9 9 10 10 12 11 8 7 7 7 5 5 6 6 7 8 7 6 6 7 6 6 6 6 6 6 6 5 5 6 7 6 6 5 5 5 5 5 4 4 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 7 8 9 8 6 6 6 7 7 7 6 5 4 4 4 4 4 5 6 6 5 6 6 6 6 7 7 8 10 11 11 11 10 9 7 7 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 5 5 5 5 6 6 5 4 5 6 6 5 4 4 4 5 5 5 5 5 6 7 8 8 8 7 7 7 7 8 8 7 7 7 6 5 4 4 4 4 4 3 2 1 -0 0 1 2 5 6 7 8 8 9 9 10 10 10 8 6 5 5 5 5 5 5 6 7 7 7 7 7 7 6 5 4 4 4 5 6 6 6 6 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 4 3 3 4 4 4 5 7 13 19 22 22 19 15 12 10 5 3 8 16 13 8 3 -3 -9 -12 -14 -11 -5 -3 -4 -6 -6 -6 -5 -3 -1 2 5 10 20 24 21 17 13 12 14 14 12 12 12 11 10 8 3 -0 3 4 1 2 2 1 0 -1 1 4 5 9 5 1 -0 -0 -0 -1 -1 1 2 2 5 5 4 3 5 9 11 16 14 8 7 9 7 5 3 4 5 0 2 5 3 4 6 8 8 11 16 12 1 2 15 19 8 3 11 9 9 19 18 13 8 8 10 9 8 8 8 7 6 5 7 8 6 4 4 6 6 10 19 23 12 4 5 6 6 5 6 6 7 7 5 3 3 3 4 5 4 4 3 3 4 3 3 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 3 3 4 3 3 4 5 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 4 4 3 3 4 5 6 6 6 5 5 5 5 5 5 5 5 4 3 3 5 9 15 18 17 12 3 -3 -1 3 5 5 4 4 5 7 8 10 12 10 7 6 9 13 14 9 6 6 7 7 7 8 9 10 12 13 14 15 14 14 12 7 4 5 7 10 9 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 6 6 6 7 6 5 5 5 4 3 4 5 5 6 6 6 7 7 7 7 7 7 7 8 9 10 8 7 7 6 8 9 8 7 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 9 10 11 12 11 10 8 6 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 4 6 6 5 4 2 3 5 5 5 5 5 8 10 8 7 5 5 5 6 8 9 9 7 7 7 7 8 8 9 8 7 7 6 5 5 5 6 5 5 3 2 1 0 0 1 3 4 5 6 6 6 7 8 9 9 9 9 8 7 6 6 6 6 6 6 6 6 7 8 8 7 6 4 3 3 4 5 6 6 6 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 7 14 22 24 20 17 13 10 11 9 3 2 4 8 2 -4 -8 -17 -24 -19 -13 -8 -4 -2 -2 -2 -2 -2 -2 -1 1 5 11 18 23 19 13 10 8 9 11 12 11 10 12 12 11 9 7 6 8 5 6 10 12 5 -1 0 7 7 6 10 5 2 2 3 2 -3 -1 2 2 2 5 5 4 4 7 10 11 17 17 10 7 8 4 2 6 9 6 9 9 4 3 5 9 10 6 9 13 7 -0 9 26 16 5 12 16 14 16 20 18 12 8 9 9 9 8 9 8 6 5 5 7 8 5 3 4 6 7 9 17 23 14 6 6 6 6 6 6 6 7 6 4 3 3 4 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 4 3 3 3 4 5 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 5 5 5 5 4 5 4 4 4 4 3 3 4 5 6 6 5 5 5 5 5 5 5 5 4 3 3 4 8 14 19 19 13 3 -7 -9 -4 1 5 6 4 3 4 6 6 5 5 7 7 6 10 16 14 6 6 7 7 6 6 6 6 6 7 7 8 10 10 9 6 4 4 5 6 8 8 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 5 5 5 6 7 6 6 6 6 7 8 8 8 8 7 7 9 10 10 9 7 7 7 8 10 10 7 5 4 4 4 5 5 6 6 6 6 6 7 7 7 6 6 6 8 10 11 12 12 11 9 8 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 -0 1 2 4 6 7 7 6 4 3 4 6 7 7 8 10 13 15 13 10 7 6 5 6 7 9 9 7 7 7 8 8 8 9 9 8 8 7 6 6 6 6 6 5 5 4 3 2 2 2 2 3 3 3 4 4 5 5 5 6 8 9 9 8 8 8 7 7 6 7 7 7 7 7 8 7 7 5 3 2 3 5 6 6 6 5 5 5 5 5 5 5 5 4 3 4 4 4 5 5 5 4 4 4 5 11 20 26 24 15 8 5 5 7 9 6 -0 -3 -1 1 1 -6 -15 -24 -20 -11 -5 -2 0 1 2 2 1 2 2 3 9 17 22 23 19 12 9 9 9 7 5 5 5 6 7 10 8 7 9 12 13 8 6 7 8 8 8 7 10 8 6 11 6 0 3 6 3 -2 -1 0 1 2 4 5 5 6 8 8 9 10 11 8 7 7 3 1 7 7 3 11 13 8 7 5 7 6 2 4 8 7 5 11 16 9 12 25 27 27 29 21 16 11 9 9 8 9 9 8 7 6 5 5 6 8 5 3 5 7 7 10 19 21 13 7 7 7 6 6 6 6 6 5 4 3 4 5 5 5 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 3 4 5 5 5 5 4 4 3 3 3 3 4 3 3 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 6 6 5 5 5 4 5 5 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 7 12 18 20 16 7 -4 -9 -4 -0 2 5 6 5 4 4 5 4 -2 -4 1 5 7 13 18 10 6 6 6 6 5 5 5 5 4 4 4 4 4 5 6 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 8 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 7 8 9 8 7 6 6 6 7 8 8 7 7 8 10 11 10 9 7 6 6 7 9 9 7 5 4 4 4 5 6 6 6 6 7 7 7 8 8 6 6 6 7 8 10 12 13 12 10 9 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 1 3 7 10 11 10 9 8 6 5 6 8 8 9 9 10 13 15 15 12 10 8 7 7 7 8 9 8 6 6 8 8 9 8 8 9 9 8 7 7 8 7 7 7 7 7 6 4 4 3 3 3 3 3 3 3 2 2 3 3 4 6 7 8 8 8 9 9 8 8 8 8 7 7 8 8 7 6 4 3 3 4 5 6 6 5 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 4 4 4 10 21 28 25 16 5 1 2 5 7 5 4 2 -2 -3 -1 1 -3 -12 -14 -7 -3 -1 -0 1 2 3 3 4 5 6 11 21 27 23 16 10 8 10 12 11 8 5 3 3 3 4 8 7 6 5 7 8 3 3 8 8 9 8 8 9 8 9 11 5 -1 4 8 4 0 -1 0 -0 2 4 6 6 8 9 7 7 3 5 6 6 9 5 1 4 5 6 11 10 5 4 2 5 5 -2 -3 4 12 14 11 6 9 20 28 28 29 29 19 12 11 9 8 9 9 8 7 7 6 5 4 5 7 5 3 5 6 7 13 20 18 11 7 7 7 6 6 6 6 6 5 4 4 4 5 5 5 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 3 3 4 5 5 4 4 5 5 5 4 3 3 4 5 5 5 5 4 4 4 3 3 4 3 3 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 6 11 17 20 19 12 1 -6 -3 4 5 5 6 6 6 5 5 6 3 -1 -3 -1 4 9 17 17 7 5 6 6 6 5 5 5 5 5 4 3 4 4 5 5 6 6 6 6 6 6 6 6 7 6 5 5 6 6 6 7 7 6 6 6 5 4 4 4 4 5 6 6 6 6 7 7 9 10 9 7 5 5 6 7 7 7 6 7 8 10 11 11 10 9 7 6 7 7 7 6 5 4 4 5 5 6 6 6 6 7 6 7 8 7 7 7 6 6 7 9 11 12 12 12 10 8 8 8 9 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 10 12 13 13 11 9 8 8 8 8 9 9 8 7 8 9 10 11 11 11 11 10 8 6 8 9 8 7 6 7 8 9 9 8 9 9 9 9 8 8 8 7 7 8 9 7 6 4 3 3 3 3 3 3 2 1 2 2 2 2 3 4 5 6 7 8 9 10 10 9 9 8 8 8 8 7 6 5 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 9 18 22 18 15 10 4 2 5 7 3 2 10 15 12 5 1 0 -0 -4 -6 -3 -2 -2 -1 1 2 4 5 6 7 12 21 27 23 13 8 8 10 13 14 12 10 9 8 7 5 6 10 9 5 3 5 8 3 6 8 7 5 4 7 8 8 11 5 2 2 4 8 7 5 3 1 1 2 4 4 5 7 10 8 3 3 10 9 5 3 0 -2 1 5 9 11 9 3 1 5 10 11 -1 -7 2 11 12 11 13 18 23 23 21 21 18 14 11 9 7 7 9 10 8 7 6 5 5 4 5 7 5 4 5 6 6 12 18 16 9 6 7 7 6 5 5 6 6 5 5 5 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 4 4 5 5 5 5 4 3 3 4 5 5 5 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 5 4 5 9 14 20 20 14 6 -3 -6 2 7 6 6 5 5 5 5 5 6 6 4 3 2 6 14 20 12 5 4 5 5 5 5 5 6 6 5 4 4 4 5 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 4 4 4 5 5 5 6 6 6 5 6 7 9 8 5 4 4 5 7 7 6 5 6 7 9 10 11 11 10 8 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 7 6 5 6 7 9 11 12 12 11 10 9 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 13 12 13 12 10 8 7 7 8 8 7 7 6 6 6 6 5 5 5 7 10 11 11 9 6 6 9 10 8 7 6 7 9 10 10 10 10 10 10 9 8 7 7 7 8 8 6 4 3 3 3 4 4 4 3 3 3 3 3 3 3 2 3 3 4 5 6 8 9 11 11 10 9 8 8 8 8 7 5 3 3 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 9 20 24 14 6 7 6 4 6 8 8 -2 0 14 26 22 9 1 -2 -6 -9 -9 -7 -4 -1 1 3 5 7 8 8 11 20 26 21 14 10 9 8 10 14 14 12 11 10 10 9 8 9 10 7 3 3 11 10 6 4 3 2 3 8 13 9 7 10 0 -0 5 3 8 14 11 6 3 2 2 2 3 4 5 9 9 -2 3 12 9 6 -0 -2 -3 -0 5 7 6 7 8 9 7 10 11 -1 -5 3 7 10 15 18 20 21 18 15 13 12 11 9 7 6 6 8 9 9 8 6 5 5 4 5 6 5 4 5 5 5 9 14 17 14 9 7 7 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 4 5 5 6 5 4 3 3 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 5 6 6 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 8 12 17 20 17 9 2 -4 -2 5 7 7 6 5 5 5 5 6 6 6 6 5 4 8 16 16 7 3 4 4 4 5 5 6 6 7 6 5 4 5 5 5 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 5 4 5 5 7 6 5 4 4 6 7 6 5 4 5 6 8 8 10 10 10 10 10 9 8 8 8 9 9 7 6 6 7 6 6 6 6 6 6 6 7 7 8 7 6 5 6 7 9 11 12 12 11 11 11 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 10 9 7 6 5 5 5 5 5 5 4 4 4 5 6 5 5 4 4 5 7 10 10 9 7 5 8 12 11 8 6 6 9 12 13 13 12 12 10 8 7 6 6 6 7 6 5 4 3 3 3 3 4 5 5 5 4 4 5 5 5 4 3 3 4 4 5 6 7 10 11 10 10 9 9 9 9 8 6 4 3 2 3 3 4 4 4 5 5 5 5 4 4 5 6 6 7 7 6 5 5 10 19 24 17 5 0 -3 -4 2 9 9 4 -5 0 13 22 15 -2 -12 -15 -19 -19 -12 -6 -1 3 5 7 7 9 10 11 16 25 24 16 13 14 14 12 10 10 10 12 13 11 11 10 7 6 7 6 2 4 8 2 3 5 6 5 11 17 16 9 7 8 1 1 6 1 1 10 10 7 5 4 3 2 2 2 2 7 9 1 4 8 7 6 5 5 3 3 4 4 4 5 13 16 7 4 6 -2 -2 4 5 8 14 17 18 18 16 12 11 10 8 6 5 6 6 8 9 9 8 7 6 5 4 4 6 6 5 5 4 5 8 11 17 19 12 6 6 5 4 4 4 5 5 6 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 2 2 3 4 4 4 4 4 4 4 5 5 5 5 4 4 3 4 4 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 6 7 10 15 19 19 14 6 -0 -1 3 6 7 6 5 6 5 5 5 6 6 6 4 2 4 9 15 11 5 3 4 4 4 4 5 5 6 6 5 5 5 5 5 6 6 7 7 7 7 6 6 6 5 6 5 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 5 5 4 5 5 4 4 4 5 6 6 6 5 5 5 5 6 7 8 8 9 9 10 10 10 10 11 14 14 11 8 7 7 8 7 7 7 7 6 6 6 6 7 8 7 6 6 6 7 9 10 11 11 11 12 12 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 4 5 4 4 4 5 5 5 6 6 6 6 6 7 7 7 6 6 4 4 3 4 6 8 8 7 6 7 10 11 8 4 4 7 12 16 16 14 12 9 6 5 5 6 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 6 6 5 4 3 4 5 6 7 8 9 11 12 12 11 10 9 7 6 6 5 6 5 5 4 5 5 6 5 5 5 5 5 6 7 7 6 6 7 10 9 2 -6 -9 -11 -10 2 11 14 11 7 3 -4 -6 5 2 -13 -22 -18 -11 -4 4 7 8 9 9 8 8 9 14 22 25 29 28 18 11 12 17 17 10 4 1 5 14 14 11 10 14 10 3 2 3 7 9 5 1 -1 2 1 -0 8 2 4 16 16 9 6 5 7 8 6 6 9 6 5 6 4 5 6 3 4 6 4 5 6 6 3 3 17 18 9 8 11 8 2 6 14 11 6 5 7 6 8 11 12 12 11 12 12 9 7 7 9 10 9 7 6 5 6 8 8 8 9 9 9 7 5 4 6 7 5 4 4 5 5 10 21 24 12 3 2 4 5 4 5 5 6 6 6 5 4 4 4 4 4 4 3 4 5 5 5 4 3 2 2 3 4 5 5 5 4 3 3 3 4 5 5 5 5 5 5 4 4 5 6 6 6 5 4 3 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 5 6 6 6 5 5 5 5 5 7 9 12 14 16 16 11 3 -6 -9 -2 2 3 5 5 5 5 5 6 6 6 5 4 2 4 9 15 15 10 6 5 4 4 5 6 6 6 5 4 4 4 5 6 7 8 8 7 6 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 6 6 6 6 7 7 6 6 5 4 4 4 6 8 8 7 6 6 5 5 5 6 7 7 7 7 8 10 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 8 7 7 7 8 8 7 7 6 6 7 8 9 10 11 11 12 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 6 5 6 6 6 7 7 7 6 7 7 6 5 4 4 4 6 7 7 6 6 8 10 11 8 4 3 5 9 12 11 9 7 6 6 5 7 8 9 10 9 9 9 9 9 9 8 8 7 6 5 5 6 6 6 6 7 7 6 4 4 4 5 6 7 7 9 12 14 14 13 11 9 7 7 7 7 7 7 7 6 6 7 6 6 5 5 5 5 6 7 6 7 8 8 5 1 -3 -4 -6 -7 1 12 16 13 7 4 2 -3 -3 5 1 -8 -4 3 8 11 12 10 9 7 7 6 9 16 26 32 29 26 22 13 7 8 10 12 9 4 1 3 10 11 8 7 13 12 9 2 -2 5 8 5 6 5 2 3 6 9 2 2 14 13 7 7 8 9 10 13 15 12 8 7 6 4 5 4 3 6 6 3 6 10 7 3 5 12 12 8 10 12 11 9 14 16 8 4 7 10 7 10 16 16 12 11 11 8 3 3 6 9 9 8 8 7 5 5 7 6 7 9 10 10 8 6 5 6 6 5 4 4 4 4 11 20 20 14 7 3 3 4 4 5 5 5 6 5 5 4 4 5 4 3 3 4 5 5 6 5 4 3 3 3 4 5 5 5 5 4 3 2 2 3 4 4 5 6 6 5 4 4 6 7 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 5 5 6 6 6 5 5 5 5 6 9 11 14 15 16 12 7 1 -4 -0 2 -1 1 5 6 5 5 6 6 5 5 4 2 3 7 15 21 19 11 8 7 5 4 6 8 8 7 5 5 5 4 5 6 7 7 8 7 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 6 5 3 3 5 7 6 7 7 7 6 5 5 5 6 7 7 6 7 9 10 9 8 7 6 5 5 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 7 6 6 6 7 8 9 10 10 11 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 6 6 6 6 6 6 9 12 12 8 5 3 5 7 8 7 5 5 6 6 7 7 9 10 10 10 9 8 8 8 8 8 7 7 6 5 5 5 6 7 7 8 8 7 6 5 4 5 6 7 8 10 13 15 15 13 12 9 7 7 7 8 8 9 8 7 7 7 6 5 5 5 5 5 6 6 6 10 14 13 7 4 3 4 4 4 8 9 8 6 2 -0 -1 -3 -2 6 5 1 6 10 12 12 9 6 5 4 4 6 14 24 28 24 16 14 13 9 7 8 9 10 9 7 5 4 6 8 6 5 6 6 11 9 3 5 4 2 7 9 5 8 14 7 5 2 4 4 5 6 7 7 7 14 18 14 9 9 6 4 4 3 4 6 5 3 6 8 5 3 3 2 6 9 12 9 13 19 20 15 7 5 7 6 3 6 14 14 12 11 9 5 3 5 8 7 7 7 8 7 5 5 5 5 6 9 10 10 9 8 7 6 6 5 4 3 3 6 10 13 15 17 13 7 4 3 4 4 4 4 5 5 4 4 4 5 4 3 3 4 5 5 5 6 5 4 4 4 5 5 5 5 5 4 3 2 2 3 4 4 5 6 6 6 5 6 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 5 5 4 5 5 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 7 8 11 14 15 16 14 10 6 2 1 3 0 -3 2 6 7 6 6 6 5 5 4 3 2 5 11 19 21 16 10 9 6 5 4 6 8 8 7 5 4 5 5 6 6 6 6 6 5 5 4 4 5 6 6 6 6 5 5 5 5 5 6 6 6 6 7 6 6 6 5 5 6 6 6 7 7 7 6 7 8 7 7 6 4 3 4 5 6 7 7 7 7 5 5 5 5 6 6 6 7 7 8 8 7 5 3 3 3 3 4 3 4 4 5 6 7 8 9 10 10 10 10 8 7 6 5 5 5 6 7 8 9 10 11 12 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 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 6 7 9 12 13 10 6 4 4 6 8 7 6 6 8 8 8 9 9 9 8 8 8 7 8 8 7 7 7 7 7 6 6 6 7 9 10 11 11 9 8 6 5 5 6 6 8 10 14 16 16 14 12 10 8 6 6 7 8 9 9 9 8 8 7 6 5 4 5 5 6 6 6 6 5 4 6 7 7 7 6 6 6 7 5 0 -2 1 4 6 8 8 4 2 5 8 7 6 4 2 2 3 5 11 21 24 17 7 3 6 8 7 7 9 11 12 11 10 10 8 6 7 8 7 1 2 10 10 7 7 4 2 6 7 8 12 16 5 6 6 -0 2 5 7 6 4 5 10 12 11 9 7 4 4 3 2 4 5 4 4 5 5 4 6 5 2 6 8 5 5 16 21 17 9 4 5 7 6 -0 1 9 11 10 8 7 8 9 9 8 7 8 7 7 5 5 9 9 7 7 8 9 8 8 8 8 7 6 5 5 3 4 6 8 9 11 14 14 14 12 5 3 4 4 4 5 5 4 4 4 4 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 5 7 6 5 6 7 8 8 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 6 6 6 6 7 7 6 6 6 6 6 5 4 4 4 4 4 4 5 5 5 6 6 5 5 7 9 11 13 16 17 16 12 8 5 2 0 -2 -3 1 5 7 6 6 7 6 5 5 4 3 4 8 16 21 18 11 8 7 5 4 5 6 7 7 6 4 5 5 7 7 6 5 5 5 4 4 4 5 6 6 6 6 6 5 4 4 4 4 4 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 6 4 2 3 5 7 8 7 6 6 5 4 5 6 7 7 6 6 7 8 7 6 4 3 3 4 4 3 2 3 3 4 5 5 7 8 9 11 11 10 9 7 6 5 4 5 5 6 7 8 10 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 8 8 7 7 8 8 9 8 9 8 8 9 8 8 8 8 8 8 8 8 7 6 6 7 9 10 12 11 7 4 4 7 10 10 9 9 9 9 8 8 8 7 6 6 6 7 7 7 6 7 7 9 9 8 7 8 9 11 13 15 15 13 11 8 7 6 6 7 8 11 14 15 15 14 12 10 8 6 5 6 7 8 9 9 9 9 9 8 6 5 5 5 6 7 7 3 -3 -1 5 7 7 7 6 5 7 10 5 -3 -0 10 19 19 14 7 -1 -3 1 3 3 1 0 1 2 4 11 22 27 19 8 3 4 8 9 8 8 8 11 15 14 14 13 9 6 7 8 8 3 6 8 7 7 8 5 7 12 8 6 9 10 7 8 8 7 5 6 7 5 3 6 11 10 9 11 7 5 4 2 1 4 6 6 4 3 6 7 8 11 9 7 2 -8 4 21 21 12 6 3 3 7 8 3 0 8 10 7 4 9 16 16 11 7 9 10 8 5 2 4 12 16 13 10 8 8 7 6 7 8 9 7 6 5 5 5 6 7 7 7 8 11 18 19 9 5 5 4 4 4 4 4 4 4 4 3 3 4 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 4 5 6 5 5 6 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 6 6 5 5 6 8 11 13 15 17 17 14 11 8 5 3 -1 -2 1 5 7 6 6 5 5 6 6 5 4 4 5 10 17 20 14 7 7 6 5 5 5 5 6 6 6 6 6 6 7 6 6 5 4 4 3 4 4 5 6 6 6 6 5 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 8 7 5 2 2 4 7 8 7 7 7 5 4 4 5 6 7 6 6 6 7 7 7 7 6 5 4 5 4 3 3 3 3 3 4 5 6 8 9 10 11 11 10 8 7 6 4 4 5 5 7 8 10 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 7 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 7 6 6 7 9 11 11 10 6 4 7 12 12 10 8 7 6 6 6 7 7 7 6 6 6 6 6 6 7 9 10 10 10 8 8 9 12 15 18 18 16 14 11 10 8 7 7 8 9 12 14 15 14 13 12 10 8 6 6 6 7 7 8 9 11 14 12 8 5 5 5 6 7 7 6 6 7 7 7 7 6 6 5 7 9 3 -3 4 19 31 31 13 -3 -11 -9 -2 1 1 0 1 1 3 10 22 29 22 10 5 5 7 9 9 9 10 8 11 15 14 13 12 8 6 8 9 7 6 8 6 6 9 7 5 12 16 10 6 5 5 8 10 15 14 5 7 7 4 5 10 14 15 14 11 6 4 2 0 2 6 8 7 4 4 7 7 6 8 11 10 -1 -11 6 23 19 6 -1 -1 2 5 7 6 4 9 9 5 4 13 21 20 13 8 9 10 8 4 2 3 10 17 18 15 10 8 7 7 6 8 9 9 8 7 6 6 5 6 7 6 5 9 16 16 8 10 13 6 3 4 4 4 4 4 4 3 3 4 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 3 4 3 4 4 5 5 4 5 7 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 6 6 5 6 7 10 13 16 17 18 16 12 10 8 6 3 1 0 3 6 7 5 5 5 5 6 5 4 4 4 6 9 14 14 8 5 6 5 5 5 6 6 6 7 7 7 7 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 7 7 6 6 6 6 7 8 7 4 2 2 5 8 8 8 6 6 5 4 5 5 6 7 7 6 5 6 7 7 6 6 5 5 5 5 4 3 3 3 4 4 5 5 6 8 9 10 11 10 10 8 6 5 5 5 5 6 9 10 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 9 4 7 10 15 17 17 13 10 10 12 15 20 26 20 10 5 4 6 9 7 7 11 20 25 24 15 6 -1 6 14 20 24 24 22 19 15 10 6 6 9 11 14 15 14 9 8 9 9 11 12 14 15 16 14 16 16 15 13 11 11 10 11 13 15 16 16 15 12 11 14 18 18 13 11 11 13 16 19 20 18 16 17 18 19 18 15 13 11 10 8 8 9 11 11 12 13 13 15 16 16 13 12 12 9 7 8 12 15 12 11 12 13 14 14 13 11 12 13 14 13 12 11 10 10 11 12 12 12 13 13 11 9 8 8 10 11 11 11 11 11 11 11 11 9 8 9 11 12 13 12 11 11 11 11 11 11 10 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 12 15 16 14 13 11 11 11 12 11 11 11 12 13 13 13 12 11 11 12 12 12 12 13 13 13 13 13 12 12 12 11 10 10 10 11 13 14 14 12 10 10 11 12 13 13 12 12 13 12 12 14 15 13 13 13 13 12 12 10 9 8 9 13 14 13 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 10 10 10 10 11 12 12 11 11 11 11 12 12 12 12 12 12 13 12 10 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 11 11 12 12 12 12 11 10 11 11 12 11 12 12 12 12 11 12 11 11 11 11 11 11 11 11 11 12 11 11 11 12 12 12 12 12 12 13 13 13 12 12 13 13 11 9 6 3 3 6 9 11 11 10 10 10 11 11 12 12 13 15 16 14 12 14 17 16 14 12 11 10 10 10 10 11 11 11 13 16 18 18 18 16 16 16 16 15 13 12 11 12 12 12 12 12 12 12 13 14 14 13 13 13 13 13 14 14 13 13 12 13 14 14 14 14 14 13 14 15 18 20 20 17 12 11 11 11 11 12 14 15 14 13 11 11 11 12 13 13 13 13 14 15 14 14 14 14 15 14 14 15 15 16 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -5 1 9 14 16 14 11 5 6 11 20 17 5 6 10 17 19 16 8 -0 3 15 23 28 27 23 18 15 11 6 4 6 9 12 15 16 15 12 10 8 9 10 12 13 14 14 14 16 15 14 13 11 10 10 12 13 15 16 15 14 12 10 10 14 17 17 15 14 14 15 16 18 18 16 16 17 18 18 16 13 10 8 6 5 6 8 9 10 11 12 15 17 17 16 15 14 12 11 11 13 14 13 14 15 15 16 15 15 15 14 14 14 13 12 12 11 10 10 11 11 12 12 11 10 9 8 9 9 10 10 11 11 11 11 11 10 9 8 9 11 13 13 13 12 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 12 11 11 11 11 11 12 12 11 11 11 9 7 8 12 16 17 16 14 12 12 11 11 11 11 12 12 12 13 12 12 12 12 11 11 11 12 12 12 12 13 13 12 13 12 11 10 10 10 11 14 14 12 11 10 9 9 11 13 13 12 11 11 9 12 15 13 12 13 13 14 15 14 11 9 8 11 13 14 14 15 14 12 12 12 12 12 13 12 13 12 12 12 12 12 12 12 11 12 11 12 12 11 12 11 10 11 11 11 12 12 11 11 10 9 10 11 11 11 11 12 11 11 12 12 12 13 13 13 11 10 12 11 10 10 10 11 11 12 12 11 10 11 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 11 10 11 11 11 11 11 11 12 12 11 11 12 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 13 13 14 14 13 10 6 3 1 3 5 9 11 11 11 10 9 11 12 12 12 12 13 14 15 16 16 17 17 16 14 12 12 12 12 12 11 12 12 12 12 13 13 13 14 14 15 15 15 14 14 14 14 14 13 13 12 12 12 12 14 14 14 13 12 11 13 15 15 14 13 13 12 13 13 14 14 14 14 14 15 16 18 19 17 12 11 11 13 13 12 13 14 13 12 11 11 12 13 13 13 13 13 14 14 14 14 14 15 14 14 14 13 14 15 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 10 13 20 15 10 8 10 7 5 1 -1 -0 12 22 28 24 21 15 11 9 6 5 7 10 12 15 17 18 16 14 11 8 8 9 10 10 11 10 13 16 14 12 10 9 9 10 12 14 14 14 14 13 11 11 10 13 16 16 12 11 10 10 10 10 11 12 12 13 16 16 15 11 9 8 8 7 7 7 8 10 11 13 15 17 18 18 18 17 17 15 12 11 11 12 14 15 14 13 13 14 16 16 15 14 14 13 12 12 10 10 10 11 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 10 8 7 8 11 13 13 13 12 11 10 10 10 10 10 9 10 10 11 11 11 12 12 11 11 12 11 11 12 11 11 11 11 11 11 11 9 8 7 8 12 14 16 17 15 13 12 11 11 11 11 11 11 12 12 13 12 11 11 11 11 11 11 12 11 11 13 13 13 12 12 12 11 12 12 13 13 13 12 10 9 9 10 12 13 13 12 10 9 11 13 13 12 12 12 13 15 17 15 11 9 9 10 12 13 14 14 14 13 12 12 13 13 13 13 13 13 12 13 13 13 13 12 11 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 11 11 12 13 13 12 12 12 12 11 9 9 10 11 11 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 16 15 13 10 9 8 9 11 12 13 12 12 11 10 11 12 13 14 13 13 14 14 16 17 17 17 16 14 11 11 12 12 12 12 12 12 12 11 12 12 12 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 14 12 11 12 15 15 15 14 13 12 12 12 12 13 13 14 14 15 17 17 17 18 15 11 12 13 14 13 13 13 13 12 11 12 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 8 9 11 16 23 23 19 12 8 5 4 5 6 8 12 14 15 17 16 16 14 13 12 11 9 8 8 7 7 9 11 12 12 11 9 9 10 12 14 14 13 14 14 14 13 14 13 14 14 11 8 8 6 6 5 5 9 11 11 12 14 15 16 13 9 8 8 11 11 9 9 11 14 15 15 16 17 18 18 18 19 18 15 13 12 13 13 11 9 8 9 12 14 13 13 13 14 13 13 13 12 10 10 10 9 10 11 11 11 10 11 11 10 11 11 11 12 11 11 10 7 6 8 10 12 13 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 12 11 11 11 11 11 11 11 12 12 12 10 8 7 8 10 13 18 19 15 12 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 11 11 10 10 11 12 13 12 12 13 13 13 13 13 13 12 12 11 10 10 10 11 12 12 11 10 9 10 11 11 11 11 11 12 14 15 16 14 11 9 9 10 10 12 13 13 13 12 12 13 13 14 14 14 14 13 13 13 14 14 13 12 12 11 11 11 12 12 12 11 12 12 11 11 12 12 12 12 13 12 12 13 13 13 13 12 12 13 13 13 11 10 9 10 10 12 13 12 11 11 11 10 10 9 8 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 13 12 13 13 12 12 13 13 12 13 12 12 12 12 13 12 13 15 15 15 15 15 13 12 12 12 13 14 14 13 12 12 12 12 13 14 14 14 14 15 14 15 17 18 19 17 15 12 11 10 11 11 12 12 12 11 11 11 11 11 13 14 15 14 13 13 13 13 14 13 13 13 13 12 12 12 14 15 15 15 13 12 11 13 15 15 14 12 12 12 13 13 13 14 14 14 14 15 17 18 18 16 14 14 14 13 12 12 13 13 13 12 11 11 13 13 13 13 13 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 5 6 7 9 11 12 13 14 15 15 14 13 12 12 13 13 12 9 8 7 9 11 13 14 12 12 12 14 15 16 16 15 15 17 18 16 16 15 14 13 9 8 7 5 4 4 4 7 9 10 11 12 14 16 16 15 13 11 11 14 15 16 16 16 15 13 12 13 16 17 18 17 17 16 15 14 14 14 12 11 9 8 10 13 14 12 11 11 12 12 12 10 10 11 12 11 11 12 12 11 11 11 11 10 10 12 11 11 11 11 10 8 7 9 10 11 11 12 12 11 11 10 10 10 11 10 10 10 10 10 11 11 11 12 11 12 11 11 11 11 11 11 11 11 12 12 12 13 11 10 7 6 7 15 20 17 15 13 11 11 10 10 10 10 11 11 11 11 11 11 10 10 11 11 9 8 8 10 13 12 11 12 12 13 14 14 13 12 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 12 13 13 12 11 10 9 9 9 10 11 12 13 12 12 13 14 14 14 14 14 14 14 14 14 15 15 14 13 12 11 12 12 12 12 12 12 11 12 12 12 12 13 14 15 15 15 16 16 16 16 15 14 13 13 13 12 11 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 10 11 11 12 12 12 13 12 12 13 12 13 13 12 13 13 13 12 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 12 13 14 15 15 13 12 12 12 12 12 12 13 14 14 13 12 12 13 14 14 14 14 14 15 15 15 16 17 20 21 19 18 14 11 11 11 12 12 11 12 12 11 11 11 11 12 13 14 13 13 12 12 12 13 14 15 14 14 13 13 14 15 15 14 14 14 12 12 13 14 13 12 11 12 12 12 13 14 14 14 15 15 14 15 15 15 14 14 13 11 11 11 11 12 13 12 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 7 6 5 6 5 5 4 3 3 3 3 4 4 6 9 12 18 26 28 21 10 6 9 15 22 26 29 31 30 30 29 26 22 18 12 7 6 6 7 7 6 5 5 6 5 5 5 5 5 5 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 10 6 1 0 0 2 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 5 15 22 28 34 38 44 49 56 62 70 82 98 110 118 123 124 122 122 130 139 142 138 130 122 119 118 116 115 114 112 109 106 104 102 100 99 98 95 92 90 88 85 79 70 56 41 35 28 20 11 0 0 1 2 0 0 0 0 0 5 17 24 30 48 51 12 2 16 32 39 36 48 74 91 110 130 144 146 144 142 139 134 124 113 111 123 118 98 89 104 125 140 148 148 142 136 130 119 111 116 123 123 131 146 151 151 155 154 144 139 140 140 144 145 142 137 130 132 139 148 160 163 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 8 7 5 5 5 4 4 4 3 2 2 2 3 3 4 4 6 11 16 14 6 3 4 9 17 21 22 23 23 23 22 21 19 17 12 8 4 3 4 4 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 6 4 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 16 24 31 36 42 46 50 56 62 66 73 82 93 103 108 110 114 116 118 126 136 141 137 127 116 108 104 103 104 105 104 101 96 92 90 89 91 92 92 90 88 85 81 74 65 56 49 45 41 35 29 14 2 6 4 6 1 0 0 0 1 4 4 18 49 53 14 13 25 39 48 39 26 38 52 75 102 136 148 142 139 137 134 132 131 132 137 135 124 120 125 134 146 152 151 144 138 133 130 128 132 135 138 148 158 160 158 156 153 148 144 143 140 144 148 144 140 134 134 138 141 147 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 10 8 6 5 4 4 4 4 4 3 2 1 2 2 2 2 2 4 6 7 4 1 1 3 9 15 16 17 18 18 18 16 15 13 9 6 3 1 0 0 0 1 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 14 20 28 37 42 44 46 49 53 56 59 66 76 89 99 101 101 108 115 120 126 133 138 137 130 118 106 98 94 92 93 93 90 84 78 74 75 78 82 85 86 86 84 80 71 58 51 46 46 44 45 40 29 19 18 14 14 10 12 28 18 10 16 28 49 64 59 47 44 45 46 45 39 31 25 27 66 107 137 153 146 139 137 135 134 132 131 132 134 132 131 131 135 142 147 149 145 138 131 128 129 131 133 140 153 163 163 160 155 152 151 149 145 144 146 149 148 144 141 142 143 138 133 136 138 nan nan nan nan nan nan nan nan nan nan 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 13 10 8 6 5 4 4 4 4 3 2 1 1 1 1 1 2 2 2 3 2 2 1 1 2 7 10 12 14 15 14 12 11 10 7 4 2 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 19 24 32 40 42 43 45 46 46 48 56 68 84 98 100 98 103 111 116 122 128 135 138 135 127 113 99 89 81 77 77 77 73 66 59 58 59 62 66 67 74 75 76 72 58 43 38 39 37 40 34 29 25 19 12 9 21 37 47 40 27 34 51 58 54 51 54 60 58 44 28 25 36 62 92 126 143 150 155 146 141 139 138 135 132 129 127 127 129 130 131 130 133 139 145 145 142 137 128 125 127 131 139 150 160 165 164 160 154 148 143 143 145 148 147 143 139 140 144 147 142 132 128 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 20 17 11 8 7 5 4 4 4 4 4 3 2 1 0 0 0 1 1 2 2 2 2 2 1 1 2 4 6 10 11 10 9 9 10 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 2 3 3 3 3 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 18 23 30 36 38 38 39 38 41 50 64 79 93 95 91 94 102 107 112 119 128 135 138 135 126 112 96 82 72 67 69 58 40 40 36 32 36 38 40 43 47 50 51 49 38 34 33 33 34 33 31 30 25 9 2 16 30 32 28 24 24 29 32 32 32 49 63 75 80 61 28 44 117 159 165 153 149 150 146 141 139 138 136 134 132 127 123 122 123 126 126 128 129 133 138 142 143 135 126 123 128 136 145 156 165 168 167 161 154 148 147 150 152 150 142 135 135 137 138 138 136 129 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 18 15 10 8 7 5 3 3 3 2 2 2 1 1 0 0 0 0 1 1 1 2 2 2 1 1 1 2 6 9 10 9 8 8 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 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 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 1 2 7 13 16 25 30 32 31 32 37 50 64 75 83 84 79 80 89 97 101 108 118 126 132 134 133 125 113 99 86 77 72 56 35 26 24 23 23 23 25 26 28 29 29 28 26 24 26 27 28 27 23 18 12 5 1 4 9 11 8 3 2 5 7 12 32 64 76 104 134 131 98 98 154 178 167 152 147 148 147 144 142 139 137 136 134 131 127 123 120 121 121 119 118 120 126 135 144 144 132 122 123 131 141 152 163 170 173 169 162 158 157 158 158 157 152 142 138 135 129 128 136 131 123 nan nan nan nan nan nan nan nan nan 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 8 15 17 15 12 11 8 4 2 2 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 3 7 12 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 1 1 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 17 18 17 20 30 48 60 65 68 71 68 65 75 86 91 97 105 112 119 124 126 125 120 110 100 92 83 71 52 34 27 24 23 22 23 24 23 22 14 11 12 9 10 12 12 12 6 4 3 1 0 0 1 1 0 0 0 0 6 35 66 102 114 135 158 163 150 139 153 160 162 156 146 143 144 147 144 141 140 139 138 133 131 128 124 123 122 118 114 112 116 126 139 148 142 127 120 126 136 149 162 172 178 175 168 164 164 165 165 167 168 158 150 141 133 134 139 136 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 6 11 16 18 17 16 13 7 4 2 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 4 14 22 20 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 0 0 0 0 0 0 0 2 4 4 13 32 49 53 50 54 61 57 49 58 70 79 86 91 94 97 102 107 109 107 102 96 90 84 78 70 56 41 32 27 27 26 26 24 19 11 4 2 1 1 2 3 3 0 0 0 0 0 0 0 0 0 0 0 2 7 36 60 101 122 144 152 156 150 141 141 147 160 164 155 145 142 143 142 139 139 141 144 140 135 132 129 129 129 125 118 114 113 118 131 146 151 139 123 123 128 143 158 173 178 176 173 172 172 172 175 179 180 170 158 145 135 134 139 138 132 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 7 8 10 14 18 21 19 13 8 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 9 24 29 23 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 18 18 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 1 0 0 4 9 6 0 0 0 0 0 0 0 0 0 5 22 43 47 34 23 35 49 50 32 37 51 58 69 75 76 75 76 79 81 81 78 73 71 71 70 69 63 55 44 38 38 32 29 25 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 11 23 39 67 98 116 127 136 138 137 134 139 156 172 174 162 149 142 140 137 137 142 151 151 142 134 131 134 134 132 127 123 117 116 122 136 152 147 131 124 125 135 148 162 168 170 173 176 178 180 181 184 183 174 160 148 137 130 130 128 127 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 6 6 9 13 17 22 23 16 10 8 6 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 16 28 28 21 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 22 20 12 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 1 4 2 3 4 12 2 0 0 0 0 0 0 0 0 0 19 34 43 33 10 4 5 22 38 32 24 31 33 40 50 50 42 41 44 44 46 44 38 39 42 46 50 50 48 43 42 41 32 28 22 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 6 11 12 14 17 33 61 83 100 114 125 131 131 133 145 165 182 187 173 157 146 140 136 141 148 152 146 138 132 132 133 133 132 130 125 122 120 125 134 139 135 128 124 127 136 144 148 152 163 174 179 183 185 185 181 174 165 156 149 142 131 120 120 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 6 7 12 16 19 20 21 18 12 9 8 6 4 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 7 16 21 21 15 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 16 20 19 13 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 1 8 10 9 6 10 0 0 0 0 0 0 0 0 0 0 22 29 23 10 2 0 0 5 18 26 27 25 23 22 24 22 19 16 15 15 15 14 13 15 18 22 26 28 27 26 26 24 20 16 9 1 0 0 0 0 0 0 0 0 0 1 3 2 0 1 4 7 10 12 14 14 12 11 11 18 30 48 70 90 108 119 124 126 132 144 167 188 194 186 174 158 145 139 139 139 140 138 135 131 127 125 126 129 128 126 123 121 123 126 128 127 124 123 127 130 131 134 143 158 167 173 180 185 185 176 169 166 164 163 152 131 124 121 nan nan nan nan nan nan nan 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 7 8 9 16 21 21 19 18 17 13 10 9 8 6 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 12 10 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 8 16 19 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 13 8 4 0 0 0 0 0 0 0 0 0 0 8 9 4 1 0 0 0 0 0 9 24 30 25 16 8 4 4 4 5 6 6 5 4 5 6 8 12 14 13 12 11 8 5 4 1 0 0 0 0 0 0 0 0 0 1 6 10 7 6 8 14 21 24 24 22 19 14 12 10 10 12 20 36 59 85 104 114 118 120 125 143 171 194 200 195 183 162 146 132 127 129 130 132 132 127 121 119 121 124 125 125 124 121 119 119 121 121 122 123 124 124 126 131 140 147 151 160 172 177 171 165 162 165 169 167 155 144 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 7 8 9 17 22 21 18 16 16 15 13 11 9 7 5 5 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 4 6 14 19 16 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 4 12 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 21 22 12 5 3 1 0 0 0 1 1 0 1 1 1 2 3 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 4 12 17 18 19 23 26 30 31 30 28 24 20 16 9 1 0 2 8 28 52 82 103 111 112 112 125 154 181 192 193 187 171 155 139 129 127 126 127 128 127 124 119 117 118 120 121 123 124 122 119 117 116 117 120 122 123 125 130 136 136 135 139 147 156 158 155 149 148 156 163 162 159 153 150 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 0 2 4 6 10 14 14 12 11 12 13 14 13 11 10 7 5 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 4 4 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 18 20 15 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 3 5 6 1 0 0 0 0 0 0 0 0 0 6 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 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 3 11 22 30 34 33 32 30 30 31 30 28 26 19 8 0 0 0 0 6 20 49 80 97 104 105 115 139 166 179 178 173 165 157 149 142 138 134 130 128 127 126 122 117 116 117 116 117 122 123 123 121 117 116 118 121 124 128 132 135 133 130 128 126 133 145 148 144 141 143 144 143 148 152 154 nan nan nan nan nan 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 1 2 3 4 4 4 3 6 10 12 13 14 13 6 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 10 15 19 18 11 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 3 11 14 10 1 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 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 1 8 23 38 40 37 31 27 27 30 30 26 21 16 8 0 0 0 0 0 5 18 50 77 94 100 106 124 151 169 170 160 151 151 154 151 148 145 139 133 130 129 125 120 119 118 116 116 117 119 122 125 126 125 122 121 123 130 138 138 132 127 122 116 115 125 134 138 141 143 134 123 122 130 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 0 0 0 0 0 0 0 0 0 2 4 8 12 16 16 7 0 0 1 2 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 4 7 11 14 15 16 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 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 18 15 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 32 36 34 29 24 24 26 24 18 14 11 6 1 0 0 0 0 0 1 25 54 77 93 100 112 134 156 164 157 146 144 150 155 156 150 143 137 132 130 127 125 127 126 123 121 117 116 118 124 132 137 132 126 123 129 142 148 140 127 119 116 113 113 116 120 127 132 125 113 106 110 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 1 0 0 0 0 0 0 0 0 0 0 1 3 6 10 12 7 1 0 0 1 5 5 3 2 3 2 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 3 6 12 16 16 15 14 10 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 1 4 8 17 17 11 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 22 20 13 13 17 18 16 12 7 3 1 0 0 0 0 0 0 0 6 26 53 77 93 104 119 140 154 158 153 147 149 157 162 150 137 131 127 123 122 125 131 134 134 132 126 120 117 119 126 134 136 133 127 128 139 154 156 141 124 125 126 121 117 114 116 118 114 107 101 102 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 2 0 0 0 3 6 3 2 2 2 1 0 0 0 1 1 0 1 2 4 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 2 7 11 15 16 18 16 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 20 17 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 3 2 9 15 15 11 4 0 0 0 0 0 0 0 0 0 1 8 25 54 76 93 103 121 143 156 159 157 154 157 158 145 127 119 116 114 113 115 122 130 136 139 135 128 121 117 116 119 128 133 130 128 132 152 169 161 140 133 134 133 129 125 123 122 119 112 106 105 111 117 nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 2 6 3 0 1 1 0 0 0 0 2 2 2 2 2 4 7 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 12 16 17 18 18 16 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 6 9 10 13 21 17 14 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 2 0 0 0 0 0 1 4 6 6 3 0 1 8 13 13 11 6 1 0 0 0 0 0 0 0 0 0 0 2 26 48 73 86 101 123 142 154 161 162 161 155 143 126 113 108 107 106 105 107 115 124 132 133 127 123 120 112 107 112 120 123 125 132 152 173 174 154 135 132 134 134 132 129 128 128 125 119 117 121 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 14 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 3 2 0 0 0 0 0 0 0 1 2 1 1 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 16 18 20 21 20 16 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 7 10 11 10 12 19 18 17 16 12 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 1 0 0 0 2 9 11 6 1 0 0 0 0 1 3 6 7 7 7 10 12 13 13 12 10 4 0 0 0 0 0 0 0 0 0 0 0 5 18 45 65 81 101 122 137 148 158 166 164 153 138 124 114 111 111 105 102 106 112 120 125 120 120 122 120 113 109 108 111 114 121 143 174 187 170 141 124 124 130 133 134 133 131 131 130 130 130 124 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 12 13 12 8 4 3 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 2 0 0 0 0 0 1 0 0 0 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 0 1 6 11 20 25 26 24 23 19 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 10 12 12 10 9 9 12 16 20 22 21 17 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 1 3 5 7 11 14 15 13 6 1 1 9 13 13 13 15 20 21 14 7 3 2 4 10 15 19 22 17 14 14 14 13 7 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 35 59 81 100 112 120 128 141 150 154 156 152 141 130 123 118 114 114 117 121 120 117 116 121 130 132 126 114 102 93 95 115 145 166 169 158 140 132 129 128 131 139 143 146 146 140 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 24 25 24 22 20 22 26 31 30 24 18 15 15 17 15 10 3 0 2 4 4 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 4 3 3 3 2 0 0 0 0 0 2 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 22 22 20 20 23 22 21 18 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 11 12 10 9 9 10 11 11 11 14 16 13 10 10 12 15 16 16 12 9 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 14 17 13 12 16 24 32 35 29 20 15 14 15 15 16 17 18 17 17 18 19 20 30 32 23 14 12 16 28 35 37 33 26 26 30 31 24 19 23 35 49 58 58 51 36 24 13 3 1 0 0 0 0 0 0 0 0 0 0 10 24 42 58 69 80 91 106 123 134 134 121 110 108 111 117 122 121 112 99 88 84 86 93 106 125 144 151 146 136 135 144 151 152 140 122 114 120 137 150 149 145 141 140 139 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 27 27 26 25 23 22 25 32 36 34 26 18 17 19 21 18 9 4 2 2 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 3 6 8 7 5 5 5 4 2 1 0 0 1 3 4 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 16 9 2 5 15 22 21 18 9 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 1 3 5 7 9 9 9 10 11 12 13 14 14 12 11 10 11 13 14 16 15 13 10 5 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 4 16 29 32 21 15 15 19 22 22 18 13 12 13 15 15 16 16 15 14 15 17 18 19 27 34 30 25 18 21 28 36 40 37 30 26 29 32 29 23 29 47 66 81 90 88 72 50 31 18 9 2 0 0 0 0 0 0 0 0 0 1 6 18 38 57 66 76 89 111 132 138 126 112 106 108 116 122 123 116 104 93 84 81 82 88 106 136 159 161 150 148 155 154 150 141 126 113 108 112 119 123 124 124 125 128 130 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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22 24 24 24 22 22 22 22 20 19 21 23 22 18 15 16 22 26 26 19 12 8 7 9 9 8 9 9 8 9 9 9 8 6 3 2 1 0 0 0 1 3 4 3 1 1 1 2 4 4 2 0 0 0 0 0 0 0 0 0 2 4 4 4 6 8 5 5 5 5 4 4 5 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 5 4 3 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 1 6 15 19 19 17 12 6 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 1 1 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 6 7 6 5 4 3 2 3 4 8 13 19 21 21 17 12 9 8 8 8 6 2 0 0 0 0 0 0 0 0 1 1 0 1 3 3 2 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 2 11 17 19 17 14 8 4 2 4 10 14 13 10 5 4 14 32 44 63 74 55 26 19 22 25 28 32 35 40 45 53 64 70 70 72 75 70 51 39 32 32 28 3 2 1 0 1 3 3 2 8 28 50 62 70 75 84 100 122 141 144 137 128 121 117 116 117 121 132 142 144 142 148 162 166 162 162 160 156 162 174 174 166 159 160 158 159 162 163 155 143 139 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
36 33 30 28 24 24 25 25 23 22 21 21 21 20 17 15 16 20 23 20 14 9 7 8 8 9 10 12 12 14 15 16 17 15 12 9 8 5 1 0 0 1 2 3 3 3 4 5 5 5 3 1 0 0 0 1 1 0 0 0 0 2 2 3 4 5 4 4 4 4 2 1 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 6 5 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 18 17 15 12 6 6 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 1 0 0 0 1 2 2 1 1 1 1 2 2 3 4 4 5 5 6 5 4 2 2 2 2 3 4 9 17 24 29 29 26 20 15 14 12 7 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 6 13 18 21 22 18 12 7 6 7 10 5 1 0 1 12 31 41 58 74 70 40 28 26 26 27 28 29 29 35 47 54 57 58 68 84 96 76 60 58 66 70 51 29 15 8 9 11 12 14 20 33 45 54 61 67 71 80 99 125 138 140 136 128 122 119 117 119 127 137 143 145 148 154 160 161 164 168 166 172 183 185 177 165 157 158 168 183 192 186 169 153 150 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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19 18 16 14 13 12 13 13 15 16 15 16 17 20 23 25 27 28 29 31 32 34 36 38 38 38 36 34 32 32 32 35 38 41 45 49 52 56 65 74 77 71 61 53 45 40 42 51 56 60 64 63 58 55 58 60 61 61 62 62 56 47 38 28 21 18 19 23 29 35 39 40 41 44 46 46 44 45 46 45 42 40 38 35 28 18 11 8 5 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 10 9 10 12 14 15 14 10 8 7 6 6 6 6 6 6 6 5 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 2 3 4 4 4 3 3 3 4 3 2 2 2 2 2 2 2 3 3 3 2 2 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 1 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 10 12 21 32 39 43 52 62 67 64 59 53 46 47 53 60 66 74 84 86 81 70 61 56 55 55 54 54 54 53 52 52 55 56 56 55 56 58 63 69 72 70 64 51 40 33 31 31 30 28 31 53 98 128 114 81 62 58 57 59 65 70 73 77 83 89 94 98 101 106 114 120 114 111 104 87 74 74 86 99 101 89 67 44 34 37 45 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 20 18 16 15 14 14 14 15 16 16 16 15 16 17 18 20 22 23 24 26 28 31 33 35 36 35 33 31 29 29 30 33 36 40 43 46 49 54 60 64 60 57 57 54 46 43 49 55 59 64 67 62 56 58 61 62 62 63 66 68 63 53 41 30 23 19 19 23 29 36 40 40 40 41 44 44 46 49 50 49 44 40 37 32 25 17 12 11 12 10 8 6 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 9 9 10 12 14 15 14 10 7 7 6 6 6 6 6 6 6 5 4 3 2 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 1 2 3 2 2 2 3 3 2 1 1 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 10 14 26 34 36 38 41 43 40 38 36 29 28 30 34 39 51 65 75 83 85 79 70 62 57 54 53 52 50 47 46 46 47 46 43 41 40 41 43 46 50 53 56 54 48 44 39 33 29 25 21 26 56 104 116 89 64 56 53 53 56 60 61 62 67 74 81 87 90 95 106 115 114 113 115 110 95 82 82 92 103 103 85 59 41 39 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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27 26 26 24 22 20 19 18 17 18 18 13 6 3 4 7 11 12 11 9 8 11 15 21 26 30 32 34 34 32 29 27 27 29 33 37 39 41 42 44 46 46 46 51 54 51 46 42 39 37 39 45 54 60 59 60 58 58 58 61 66 69 64 55 44 34 25 20 19 23 32 41 47 48 46 45 48 49 48 49 50 49 49 40 34 31 28 27 27 27 24 15 6 3 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 9 10 12 14 15 16 14 10 6 7 7 7 7 6 6 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 14 22 30 35 30 21 18 17 16 15 16 18 22 26 28 28 28 29 33 44 61 73 79 78 75 71 66 63 60 54 48 45 44 40 31 14 5 5 3 6 4 5 10 15 19 25 33 44 53 54 45 30 22 20 34 70 74 60 48 44 44 44 44 43 42 42 46 52 59 64 67 72 82 94 105 115 124 125 120 112 100 85 80 85 85 75 65 57 50 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
25 24 23 22 23 24 25 24 22 21 20 10 2 0 0 1 5 9 9 6 4 7 12 18 24 30 35 39 41 39 35 30 28 27 30 34 38 40 40 41 44 46 47 51 55 53 46 44 41 36 33 34 42 52 58 60 58 58 60 62 64 66 62 55 48 39 30 22 19 20 27 37 47 53 54 49 47 49 48 45 44 46 48 43 37 34 32 31 28 26 24 20 12 6 4 5 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 11 10 10 12 14 16 16 13 9 6 7 7 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 14 25 34 38 36 28 18 10 9 8 10 16 22 28 32 33 33 32 30 28 33 53 66 74 76 76 74 72 70 65 58 51 47 44 40 29 15 2 1 0 0 0 0 1 3 7 13 20 35 51 69 68 51 40 38 49 65 68 57 45 41 39 38 36 33 34 36 36 39 45 50 54 58 65 76 91 105 117 126 130 131 122 100 78 73 76 79 79 71 59 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 18 16 17 21 26 30 31 29 26 19 5 0 0 1 2 6 12 14 11 7 8 13 16 21 29 39 45 47 46 42 35 29 26 25 28 34 39 40 39 38 40 44 48 52 53 50 47 46 43 37 32 34 42 51 56 57 58 59 61 60 59 57 54 50 45 37 29 23 20 24 32 43 56 64 62 55 50 47 43 39 44 49 48 42 36 32 29 26 24 24 26 22 14 8 7 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 11 10 11 13 15 16 15 12 8 6 7 7 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 12 14 20 27 33 38 35 31 22 15 10 8 7 8 16 28 35 39 39 40 42 42 37 40 52 62 68 72 74 75 76 76 71 62 53 46 40 33 27 16 3 0 0 0 0 0 0 0 2 10 16 31 50 74 80 75 74 77 83 92 85 64 47 40 35 32 28 25 24 20 22 27 33 41 47 51 55 63 77 94 109 119 129 139 141 128 102 80 69 72 80 80 69 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 13 11 12 18 24 31 35 35 29 16 4 1 2 5 8 12 24 30 30 26 20 17 15 18 29 44 52 53 50 44 34 26 20 18 19 24 32 38 38 35 36 39 44 49 54 55 52 50 48 44 38 36 39 44 48 50 51 52 51 50 50 51 50 49 49 47 41 33 27 25 28 36 49 62 68 62 52 48 45 40 45 51 53 50 42 34 29 26 26 27 31 31 25 17 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 11 10 11 13 15 16 15 10 7 7 7 7 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 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 21 20 20 24 24 24 18 12 11 10 8 6 6 8 15 28 37 40 41 44 53 59 57 60 63 66 67 69 72 74 77 79 76 66 53 41 31 23 26 24 10 2 0 0 0 0 0 0 2 13 20 34 54 70 75 74 82 100 114 126 114 81 56 43 33 27 23 20 17 14 16 20 26 37 43 47 49 57 67 81 96 110 120 132 145 148 136 108 84 78 78 74 73 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 9 8 10 17 29 39 43 41 31 17 8 7 11 16 21 31 42 44 44 47 39 26 19 22 34 48 55 56 51 37 22 16 14 14 13 15 21 29 35 36 36 38 42 45 50 54 54 53 51 49 45 41 41 42 43 44 43 42 40 39 39 41 42 42 44 49 51 46 40 35 33 35 44 56 65 64 57 52 50 47 45 50 56 58 51 41 33 30 30 33 36 37 35 26 17 10 4 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 8 11 11 11 12 14 16 16 13 9 6 7 6 6 6 6 5 5 5 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 12 12 12 10 9 10 10 8 7 7 7 6 6 8 12 20 29 33 36 39 44 53 62 66 69 70 69 66 64 65 67 68 70 69 63 50 40 32 34 44 43 28 13 4 0 0 0 0 0 6 19 27 43 60 71 69 61 65 90 117 135 132 103 76 53 35 25 21 19 19 22 25 27 30 40 46 44 45 52 61 70 86 103 113 121 134 146 148 132 116 104 94 80 72 69 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 11 10 19 33 46 53 52 46 35 23 18 21 28 35 44 49 47 41 42 56 54 41 31 31 40 49 55 57 47 25 10 8 11 12 11 11 13 19 27 34 37 39 40 41 42 46 51 53 52 50 48 46 44 42 42 41 40 38 36 34 32 30 29 28 30 36 44 55 57 56 52 50 51 55 62 64 62 59 56 52 48 49 56 62 61 51 41 35 35 38 40 40 38 32 22 13 6 4 4 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 1 4 4 8 12 12 12 12 14 16 16 12 8 6 7 6 5 5 5 5 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 17 15 10 6 3 2 3 5 6 6 6 6 7 8 9 14 21 29 32 29 28 32 38 42 50 56 58 57 53 49 46 44 43 44 44 45 43 40 38 42 55 69 69 54 31 12 2 0 0 0 0 10 23 36 52 64 73 70 57 47 62 92 114 126 119 98 68 42 28 23 22 22 26 30 34 40 47 50 45 43 48 55 64 79 98 108 115 124 134 140 141 135 129 124 110 86 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
28 31 41 48 54 58 57 50 43 38 34 35 37 37 40 39 33 29 26 30 44 52 50 41 35 37 43 52 56 45 21 8 8 13 16 13 10 10 13 19 27 33 36 37 36 35 38 46 52 50 48 46 45 44 44 42 41 40 39 38 37 35 29 21 15 13 16 25 39 52 64 71 72 67 63 65 69 70 68 61 54 49 49 53 60 65 61 47 39 37 40 41 41 39 35 27 18 11 10 11 14 15 12 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 13 12 12 13 15 15 12 7 7 7 7 5 5 5 5 5 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 20 18 12 6 1 1 3 5 6 7 7 7 8 12 19 28 34 37 33 26 23 25 30 33 36 36 32 30 27 24 24 23 22 19 20 23 23 25 29 39 59 78 80 70 50 26 9 3 0 0 1 10 23 39 52 62 72 75 69 49 44 68 88 109 120 113 88 58 40 34 31 27 30 36 42 50 56 59 54 48 50 54 61 74 91 105 112 118 126 133 137 138 137 136 131 114 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
57 60 60 54 51 46 39 35 33 32 32 30 28 24 20 16 15 14 14 17 25 35 39 35 27 24 30 42 56 52 27 10 11 20 28 28 21 14 14 17 20 25 28 29 28 28 34 43 48 45 42 38 37 38 40 42 42 42 42 42 42 41 39 29 16 7 5 11 19 34 53 70 80 81 77 74 76 80 77 68 57 50 48 49 52 58 61 53 46 43 42 41 40 37 34 30 24 17 13 14 19 21 20 17 10 3 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 2 4 5 8 12 13 13 13 13 14 14 11 7 7 7 7 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 20 24 20 10 5 4 4 5 6 7 8 8 11 18 29 38 38 34 26 18 15 17 21 25 28 27 23 18 15 14 15 16 16 16 16 17 18 19 20 26 40 55 62 62 56 37 17 4 0 0 1 5 15 32 48 54 63 69 74 72 69 71 79 96 117 127 110 80 58 54 50 45 44 50 53 60 66 68 65 60 59 59 63 73 86 100 108 113 118 125 130 131 132 133 132 126 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
46 42 34 32 29 25 21 24 25 26 25 23 21 19 17 16 16 15 13 11 12 18 23 22 18 14 17 28 50 58 36 16 14 24 38 46 38 28 22 21 20 21 22 22 22 24 29 34 36 34 32 29 28 28 34 40 42 43 44 44 44 44 44 41 29 15 5 6 12 22 39 57 73 82 83 80 81 86 87 82 69 55 47 44 46 51 56 56 52 51 48 43 39 35 31 28 26 23 19 18 20 22 22 24 12 2 0 0 0 0 0 0 0 0 1 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 2 4 5 7 11 13 14 13 13 15 14 10 7 7 7 7 6 6 6 5 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 3 8 13 20 27 27 14 10 7 4 2 3 6 8 10 14 20 26 31 28 21 13 8 7 8 11 15 20 21 20 16 14 14 16 17 18 18 18 18 18 18 19 20 23 26 33 38 38 36 25 9 0 0 0 1 7 18 36 46 54 60 70 87 98 96 91 98 121 140 133 110 91 85 80 76 73 71 71 73 76 78 78 77 77 72 73 79 89 98 105 109 111 116 121 124 124 126 126 123 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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18 20 22 23 24 25 26 26 25 25 27 28 28 28 28 26 25 24 22 18 16 19 24 22 15 11 9 14 29 43 35 15 10 14 26 50 60 56 52 44 29 16 14 14 14 15 19 22 26 29 34 39 42 44 46 48 47 44 42 41 42 42 43 43 42 39 32 20 12 17 29 40 50 60 69 75 81 88 92 95 92 81 63 51 48 53 60 61 59 58 59 56 48 38 29 21 20 23 26 25 21 16 11 7 6 4 3 1 0 0 0 0 0 0 4 12 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 0 1 3 6 6 7 11 13 13 12 13 12 8 7 7 8 7 7 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 18 18 20 26 27 20 14 11 10 9 9 10 12 12 11 10 8 8 8 8 8 7 6 6 6 6 6 7 8 9 13 16 17 19 21 24 26 26 21 16 12 12 14 14 14 12 12 16 22 28 30 20 7 0 0 0 1 4 16 34 50 57 72 102 118 122 122 127 130 125 120 116 114 112 110 108 105 101 100 99 94 91 90 93 96 99 99 98 100 98 97 99 102 104 106 110 114 118 120 120 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 27 27 27 27 26 26 26 25 25 26 26 27 28 28 28 27 27 25 23 22 24 27 26 17 10 9 13 30 42 33 15 9 10 16 40 58 54 48 40 27 17 15 16 20 24 26 32 36 40 45 48 50 50 49 47 44 40 36 35 36 38 40 40 41 42 42 34 22 20 29 41 52 60 65 72 80 88 94 94 93 85 75 65 59 60 65 66 65 65 66 64 55 42 30 22 17 18 21 22 19 15 11 8 8 9 10 9 10 10 8 6 4 4 5 11 15 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 2 5 6 6 9 13 13 13 13 10 8 7 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 22 22 23 27 23 15 12 12 13 15 19 23 24 17 11 7 5 5 6 7 8 8 8 8 9 9 8 8 7 7 11 15 16 17 18 19 20 20 16 11 7 7 8 8 6 5 5 6 11 24 36 34 18 5 1 0 0 2 8 22 40 54 61 77 104 118 122 121 116 108 102 98 96 95 96 98 101 102 104 106 105 102 98 96 99 102 102 102 103 99 92 89 90 96 100 102 104 108 114 118 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
27 28 28 26 26 24 24 23 22 21 21 22 22 23 24 25 26 27 27 27 27 27 29 29 22 13 12 14 26 36 27 13 8 7 11 26 46 45 34 30 25 20 20 22 28 34 39 40 41 42 43 44 44 42 38 35 31 28 26 26 28 31 35 39 41 43 45 44 36 28 31 41 55 68 73 74 77 87 93 90 87 83 78 74 69 66 68 71 72 72 72 68 59 46 32 22 14 14 17 21 13 9 9 9 10 10 11 13 17 19 18 21 20 14 9 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 0 1 4 6 6 7 11 12 12 11 9 7 7 7 6 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 22 23 21 19 14 12 13 17 21 25 29 32 31 22 11 6 5 5 7 8 9 10 11 12 14 14 13 11 9 8 10 12 12 12 11 9 9 8 6 6 5 5 5 6 5 3 2 1 2 13 28 36 30 17 6 1 0 0 3 12 30 50 57 59 81 102 111 113 108 96 86 81 78 75 75 77 83 88 93 98 104 109 108 104 102 105 107 109 110 105 95 86 83 87 93 96 98 99 104 112 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 22 22 22 21 20 20 19 18 16 15 15 15 16 18 19 22 24 25 27 28 28 30 30 27 21 16 15 18 25 20 9 5 5 7 17 34 39 29 26 28 26 26 30 35 39 37 34 32 32 30 27 30 27 23 21 20 21 22 21 21 24 30 37 43 44 47 48 44 40 40 43 53 70 80 80 83 96 101 94 84 76 69 67 66 67 71 75 78 77 74 69 60 48 35 24 16 12 14 23 4 2 6 9 11 13 14 17 22 30 34 42 35 19 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 8 10 9 8 7 6 7 7 6 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 20 21 18 12 8 10 18 27 32 33 32 32 28 18 10 7 6 7 8 9 10 11 12 15 16 16 15 12 10 8 8 8 8 8 8 6 6 5 5 5 5 5 6 5 5 4 3 2 0 5 15 29 38 36 22 5 0 0 0 4 19 39 50 54 62 75 88 98 104 98 85 77 72 66 62 62 65 70 75 79 88 99 108 110 109 111 114 118 119 114 104 94 86 84 86 88 94 97 98 104 114 121 nan nan nan nan nan nan nan nan nan nan nan nan nan
15 15 16 16 16 15 15 15 14 13 12 13 14 14 14 15 18 20 23 26 28 29 30 31 30 26 20 15 13 15 18 9 2 3 6 13 30 41 36 32 33 34 31 32 33 30 26 23 22 22 23 23 22 19 19 22 26 29 27 23 20 20 27 38 46 49 55 57 56 55 53 50 53 66 77 81 86 106 112 100 84 63 49 46 53 62 72 80 82 80 77 71 62 51 38 27 18 12 11 12 8 5 8 12 15 18 21 24 31 42 48 49 30 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 0 0 0 0 0 0 2 4 6 6 7 9 8 6 6 6 6 6 6 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 18 14 7 2 8 25 36 37 34 30 26 17 11 9 8 8 9 10 10 11 11 12 12 13 13 12 10 9 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 4 1 1 4 16 38 52 43 19 4 0 0 2 11 27 40 47 51 55 62 76 91 99 95 88 80 71 64 60 59 60 61 63 68 79 94 103 109 114 120 124 123 118 111 103 95 88 85 84 88 93 97 100 106 116 nan nan nan nan nan nan nan nan nan nan nan nan nan
15 15 16 16 15 14 14 15 15 15 16 17 17 17 18 19 20 21 22 24 27 29 30 30 30 27 22 15 10 11 17 17 6 1 4 13 29 43 42 36 32 29 26 25 25 23 20 18 17 20 23 23 21 20 24 34 43 43 36 27 19 19 29 42 50 55 64 68 69 68 66 60 57 64 75 81 86 99 109 100 76 52 35 34 44 57 71 82 85 82 82 79 68 57 44 32 22 15 11 10 9 9 12 16 18 22 26 33 42 52 54 42 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 7 6 6 6 6 6 6 6 6 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 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 1 6 13 16 14 8 5 13 33 39 38 34 28 20 13 10 9 9 9 10 10 10 10 10 9 9 9 9 8 7 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 8 7 3 1 1 7 23 44 53 38 13 2 0 0 3 12 24 36 43 47 50 56 70 84 94 95 88 77 66 59 55 52 49 50 54 64 75 87 99 109 118 123 122 118 113 108 104 97 91 87 87 91 96 98 99 108 nan nan nan nan nan nan nan nan nan nan nan nan nan
17 18 18 18 18 18 18 18 17 16 16 14 15 16 19 22 22 23 23 24 26 28 28 29 28 27 25 19 11 9 19 26 16 4 5 15 30 41 35 26 21 19 19 22 24 24 20 15 14 18 21 22 22 24 31 44 52 52 45 32 22 23 35 46 52 55 61 68 71 71 74 70 63 64 72 80 82 84 92 95 80 58 43 42 51 60 72 83 85 82 86 91 79 62 49 38 28 20 16 12 10 12 18 23 24 26 30 38 47 56 52 31 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 1 2 4 5 6 6 6 6 6 6 6 6 6 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 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 3 10 16 18 19 20 28 35 38 38 33 26 17 12 10 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 8 8 7 7 6 6 8 7 4 2 0 2 9 25 42 50 26 9 3 0 0 3 10 18 28 40 47 52 59 70 82 89 88 78 66 58 50 44 38 37 40 47 57 70 85 100 108 113 115 114 112 110 108 104 99 95 92 93 100 100 98 101 nan nan nan nan nan nan nan nan nan nan nan nan nan
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14 14 15 16 17 16 14 12 9 7 6 6 6 6 6 6 8 10 15 23 27 28 29 30 30 29 28 25 21 15 15 24 24 21 20 24 29 30 26 22 20 18 19 23 28 30 25 20 18 23 33 39 36 29 25 28 32 38 39 33 24 20 26 34 39 37 31 28 28 34 45 57 63 58 59 64 61 54 58 72 81 75 68 66 65 63 61 63 67 71 75 80 80 74 66 58 48 39 31 26 27 34 43 50 52 50 47 49 48 44 36 23 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 0 0 0 0 0 0 0 1 1 2 4 6 6 6 6 6 6 6 6 5 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 21 31 40 39 36 33 30 23 15 10 8 8 6 5 4 3 2 2 3 3 2 2 1 2 3 3 3 3 3 3 3 3 3 3 3 3 4 6 7 8 8 7 6 5 4 4 4 2 0 0 0 4 15 32 41 34 15 8 5 0 0 0 5 14 26 39 51 59 62 67 67 63 62 57 49 38 29 26 25 26 27 35 49 68 82 91 95 94 93 95 99 101 101 99 98 99 103 107 108 104 100 nan nan nan nan nan nan nan nan nan nan nan nan
17 17 17 18 18 18 14 11 10 10 9 9 9 10 11 11 9 8 8 13 21 26 29 30 30 30 29 27 24 21 18 20 24 27 29 30 30 30 28 26 25 24 23 26 30 30 27 24 23 27 36 41 33 22 17 19 20 25 29 27 20 15 18 27 34 30 20 14 16 22 30 40 50 57 56 57 56 50 57 67 68 69 69 66 59 50 47 51 58 64 69 72 73 72 69 65 60 54 47 43 46 54 61 63 60 58 56 48 33 28 28 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 0 0 0 0 0 0 0 0 0 0 2 4 4 5 6 6 6 6 6 5 5 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 9 16 20 25 28 28 26 21 13 8 6 6 4 1 1 1 0 0 1 2 2 1 0 0 0 1 1 0 0 0 1 1 2 3 3 3 3 5 6 8 8 8 6 5 4 4 4 4 2 0 0 0 1 6 19 38 49 22 14 12 7 4 1 2 5 10 21 34 47 58 62 62 61 62 63 57 43 32 26 24 25 26 30 38 52 68 80 87 88 86 86 88 91 93 94 94 94 96 103 108 108 107 nan nan nan nan nan nan nan nan nan nan nan nan
21 21 20 20 19 20 16 14 13 14 15 14 14 15 16 15 13 11 9 6 10 18 25 29 30 30 30 29 27 25 22 20 22 28 34 35 34 32 29 27 26 26 26 26 28 28 26 25 23 25 28 28 22 15 14 20 21 22 27 26 19 14 16 23 28 23 10 5 10 21 29 31 34 43 49 50 48 45 62 78 78 75 71 63 51 40 36 38 46 54 59 61 61 61 64 70 75 76 74 72 73 75 72 67 63 63 56 38 25 21 18 13 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 3 5 6 6 6 6 5 5 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 5 11 15 16 16 17 16 12 7 4 2 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 5 7 8 8 7 6 4 4 3 3 3 2 1 0 0 0 2 9 28 44 31 20 17 14 9 3 0 1 2 7 14 26 40 50 56 59 62 62 58 46 35 28 25 26 28 32 37 44 56 68 79 83 81 80 81 82 85 88 89 89 89 93 100 104 108 nan nan nan nan nan nan nan nan nan nan nan nan
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13 14 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 11 9 8 11 16 23 29 32 32 31 28 25 25 28 32 32 30 28 28 29 29 29 27 26 24 23 24 23 19 14 16 22 37 42 40 40 48 56 55 49 48 53 57 59 59 57 54 50 47 41 36 30 25 22 21 31 54 78 85 77 60 43 32 31 40 52 61 70 82 96 109 111 110 110 106 99 83 65 45 27 17 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 1 1 0 0 0 0 1 2 2 3 4 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 1 2 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 7 4 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 32 36 29 22 19 16 6 1 0 0 0 0 0 2 4 7 11 15 18 24 28 29 29 30 29 28 29 34 42 47 48 52 60 61 57 53 51 50 51 54 56 57 56 59 68 81 nan nan nan nan nan nan nan nan nan nan nan
13 13 13 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 13 13 13 12 12 12 10 8 8 11 17 24 29 31 30 28 26 27 30 31 30 28 26 26 26 25 23 22 23 23 22 20 17 16 19 24 30 30 29 31 41 54 61 61 58 60 64 67 70 68 61 56 52 48 41 34 28 24 22 26 45 70 82 76 60 46 37 40 53 63 66 70 81 97 107 105 102 101 97 79 53 36 24 16 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 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 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 0 0 0 0 1 3 2 2 2 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 27 27 22 19 15 9 2 0 0 0 0 0 0 0 1 2 5 8 12 15 18 20 20 19 20 20 25 35 44 48 48 54 58 61 58 52 48 47 50 55 57 56 56 60 70 nan nan nan nan nan nan nan nan nan nan nan
11 11 11 11 10 10 11 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 10 10 8 6 7 13 20 26 30 31 29 28 29 30 30 28 26 25 24 22 20 20 22 22 19 15 14 18 23 26 23 17 16 21 34 50 59 60 55 54 57 62 68 66 59 55 54 54 50 42 34 28 25 27 46 70 81 77 64 51 47 56 74 87 83 78 83 93 100 100 97 92 81 58 35 24 17 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 4 4 4 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 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 6 11 15 15 14 10 6 2 0 0 0 0 0 0 0 0 0 0 0 3 6 10 12 13 14 14 15 17 24 33 42 46 48 50 59 64 57 49 44 43 50 56 57 57 56 60 64 nan nan nan nan nan nan nan nan nan nan
10 10 10 9 9 9 10 10 11 11 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 10 10 8 6 6 9 16 23 29 30 30 29 30 30 29 27 26 25 25 23 22 22 22 16 10 11 19 25 26 21 14 11 15 31 52 61 60 55 52 53 57 63 64 57 52 54 56 56 49 41 36 32 33 50 71 83 82 69 58 60 78 101 108 103 96 95 100 104 98 85 73 62 48 32 19 13 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 4 5 4 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 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 1 3 4 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 6 6 7 9 10 15 20 28 35 40 43 49 53 55 50 45 44 47 51 56 58 56 55 57 nan nan nan nan nan nan nan nan nan nan
10 10 10 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 8 6 4 7 13 20 26 29 30 30 31 31 30 28 26 25 23 21 20 20 15 8 8 18 26 25 19 13 12 17 32 54 66 64 57 52 50 52 56 58 54 46 46 50 55 61 62 57 48 43 53 72 87 88 75 65 71 92 111 114 112 108 104 101 95 81 69 60 51 38 27 17 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 3 4 5 5 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 5 7 11 16 20 26 32 38 44 48 48 47 46 47 49 53 56 54 52 51 nan nan nan nan nan nan nan nan nan nan
11 11 10 10 10 10 11 11 11 11 12 12 12 13 13 14 13 13 13 12 11 11 11 11 10 10 9 10 10 10 8 5 4 4 7 17 24 28 29 31 34 35 32 26 23 21 18 18 18 16 10 9 16 26 26 19 13 12 18 33 50 60 58 51 42 38 40 46 49 44 38 36 41 53 71 79 77 66 57 61 75 89 91 81 72 75 88 105 113 113 112 109 102 88 71 68 62 49 36 26 19 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 4 4 4 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 12 16 24 33 39 43 45 45 46 49 52 55 52 46 46 nan nan nan nan nan nan nan nan nan nan
12 12 12 11 11 12 12 12 12 11 12 12 13 13 13 13 13 13 13 12 11 11 11 10 10 9 9 9 9 10 9 8 5 3 4 8 15 23 27 29 33 37 37 30 22 18 15 14 16 16 13 10 14 23 26 21 13 11 16 30 44 51 50 44 31 23 25 30 34 36 34 35 40 53 74 86 87 76 68 70 80 91 92 84 74 72 82 99 108 108 108 109 104 90 76 83 75 49 34 26 19 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 2 2 2 3 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 1 2 4 8 13 20 28 35 39 42 45 48 53 55 54 50 46 43 nan nan nan nan nan nan nan nan nan
13 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 11 10 10 9 9 9 9 9 9 9 7 5 4 5 8 15 22 25 29 36 38 32 22 17 13 12 14 16 15 12 14 20 25 22 14 10 13 26 42 48 47 40 28 17 16 21 28 32 33 34 39 52 71 85 87 79 73 76 85 92 90 82 72 68 72 84 92 96 99 102 101 93 88 94 78 43 29 18 8 2 0 0 0 0 0 0 0 2 16 24 20 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 2 3 3 3 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 2 0 0 0 0 0 0 0 1 3 7 11 18 25 31 36 41 45 49 53 55 54 51 47 nan nan nan nan nan nan nan nan nan
12 12 11 11 11 12 12 12 11 11 10 10 11 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 6 5 6 8 13 20 24 32 37 32 23 17 14 12 14 17 17 14 14 19 24 22 15 10 11 20 38 46 43 37 29 21 18 22 29 32 34 36 41 52 66 75 77 75 74 78 84 87 83 77 72 68 66 69 77 83 87 91 94 94 92 89 71 45 19 7 2 0 0 0 0 0 0 0 0 21 32 29 24 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 3 3 2 2 3 4 4 4 4 5 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 1 2 5 10 15 20 25 31 36 40 45 49 52 52 49 nan nan nan nan nan nan nan nan nan
11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 8 8 8 9 9 8 6 6 6 8 12 19 28 36 34 26 19 15 13 14 17 19 16 15 19 23 23 17 11 10 15 31 42 38 34 33 30 28 29 33 34 35 38 43 51 59 66 70 72 74 75 75 77 75 74 72 72 70 71 75 79 80 82 87 91 89 80 63 36 6 1 0 0 0 0 0 0 0 2 9 27 14 8 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 1 2 3 3 4 3 3 3 4 4 5 5 5 4 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 16 20 26 29 32 37 42 45 47 nan nan nan nan nan nan nan nan nan
10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 9 9 8 7 6 7 8 14 24 35 39 32 23 16 14 15 17 19 18 17 20 24 24 18 12 10 14 24 36 34 31 35 38 36 32 31 32 35 39 44 54 62 68 71 73 73 72 70 71 74 75 76 76 78 80 83 82 80 80 87 91 89 78 51 20 2 0 0 0 0 0 0 0 2 8 16 10 2 0 0 3 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 2 3 3 2 0 0 0 0 1 1 2 3 3 4 4 4 5 5 5 5 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 18 20 22 26 32 38 40 nan nan nan nan nan nan nan nan
10 10 10 11 11 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 7 7 7 7 8 8 8 8 9 9 8 6 6 7 10 19 32 39 38 28 19 15 15 17 18 18 19 21 25 25 20 13 10 12 19 27 29 25 32 38 35 28 26 29 36 42 50 63 74 77 76 75 75 76 79 79 78 80 83 89 94 96 95 93 92 94 99 98 90 77 35 8 1 0 0 0 0 0 0 2 8 14 13 5 0 0 1 3 6 15 18 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 1 1 2 2 2 2 2 2 2 3 3 3 3 1 0 0 0 0 0 1 2 2 3 4 4 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 10 10 9 8 10 16 24 29 nan nan nan nan nan nan nan nan
10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 12 11 11 10 9 8 7 7 6 6 6 7 7 8 8 8 8 8 9 8 7 6 6 7 13 24 36 40 34 24 17 14 15 16 16 18 20 24 24 21 14 10 11 16 22 23 22 26 35 33 23 22 28 37 45 52 64 80 85 73 70 71 75 79 79 78 82 89 99 103 104 104 107 110 112 110 97 86 81 24 2 0 0 0 0 0 0 0 2 8 10 8 3 0 2 5 6 2 5 15 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 3 3 2 2 2 3 2 1 0 0 0 0 0 0 0 2 3 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 3 2 2 6 13 19 nan nan nan nan nan nan nan nan
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