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 7 9 8 8 7 6 6 5 5 5 4 3 3 3 3 3 3 3 4 4 3 3 4 3 3 2 2 2 2 2 2 2 3 3 4 3 3 3 3 3 4 3 3 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 9 12 14 15 15 13 11 9 9 8 7 6 6 6 5 4 4 5 6 5 5 5 6 6 6 6 5 4 5 12 22 19 9 5 6 4 4 1 7 7 5 2 -1 -0 9 12 5 1 -0 -0 -1 -0 7 0 -8 -6 0 2 5 11 12 8 5 8 7 1 -1 8 16 9 -4 -3 4 7 5 2 -0 1 4 6 4 3 5 7 6 8 9 5 2 1 2 2 -0 -1 2 8 18 31 37 36 29 17 8 5 5 5 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 6 8 9 10 10 11 12 15 17 16 11 8 7 7 8 8 7 7 5 3 4 5 4 4 4 4 4 5 5 3 3 5 5 5 5 5 5 5 5 5 5 8 8 3 1 1 4 6 6 5 4 4 4 4 4 3 2 2 3 3 3 3 3 4 3 3 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 6 8 10 12 11 8 6 6 7 7 7 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 7 11 21 32 24 13 8 6 3 -1 -4 -8 -7 -15 -9 -2 -6 -6 0 3 1 -4 -8 -11 -17 -20 -15 -11 -13 -12 -7 2 6 6 5 6 8 12 18 21 19 9 4 6 8 8 7 7 6 7 10 12 10 11 12 13 10 7 7 6 6 6 6 6 6 5 5 4 3 4 5 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 nan 3 4 6 8 8 7 7 6 6 6 5 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 8 10 13 15 15 13 11 10 9 8 7 6 6 6 5 4 4 5 6 5 6 6 6 6 6 6 5 5 9 21 26 17 7 4 7 9 6 8 14 11 10 6 3 -2 2 5 3 1 0 -2 -5 -8 -4 1 0 -1 1 3 4 5 9 8 6 9 10 5 -3 2 18 17 5 -1 5 12 10 4 2 2 5 7 5 3 2 4 6 8 7 5 3 2 4 6 6 7 9 18 30 38 38 33 20 9 6 5 5 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 5 5 6 7 8 10 10 11 12 14 16 15 10 7 6 7 7 5 5 4 3 3 3 4 5 5 4 4 5 5 3 3 4 5 5 4 5 5 5 5 5 5 4 5 4 1 1 -0 -0 2 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 2 3 4 4 4 4 3 2 2 2 3 2 2 2 2 1 2 2 2 2 2 3 4 6 8 10 10 9 8 6 5 6 6 5 5 4 3 3 4 4 4 4 4 4 5 5 4 5 5 5 5 6 12 22 30 29 22 15 8 8 9 6 2 1 -1 -0 -1 3 5 6 9 7 3 -1 -2 -2 -4 -2 -6 -9 -8 -2 4 6 5 5 5 6 8 9 12 10 4 5 7 8 7 6 6 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 6 5 5 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 2 3 5 6 7 8 7 6 6 6 5 5 5 4 4 2 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 2 3 2 2 2 2 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 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 4 5 5 6 6 6 6 6 6 6 7 6 6 5 4 4 5 6 8 11 13 13 13 11 10 9 8 7 6 6 5 5 4 4 5 6 6 6 6 6 6 5 5 5 6 13 24 24 17 7 5 11 15 6 6 12 9 10 7 4 -4 -4 -5 -2 5 11 7 3 2 -0 3 4 3 2 4 2 1 6 7 9 10 9 6 4 7 12 12 9 4 7 14 9 3 5 7 7 6 6 4 1 3 6 6 6 6 3 2 5 8 9 11 16 25 35 37 30 20 11 6 5 5 5 4 4 4 4 4 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 6 8 9 10 10 12 13 14 14 12 7 5 5 4 4 3 2 -2 -6 0 5 5 5 5 5 6 5 4 5 5 5 5 4 5 5 5 5 5 5 3 5 -1 -8 -4 -2 -6 -6 -1 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 6 8 9 8 6 5 5 5 6 5 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 8 18 25 27 22 9 5 4 2 2 6 7 5 4 6 5 5 7 9 9 5 4 9 8 7 5 1 -1 1 4 6 6 5 6 5 5 6 6 6 5 5 7 7 7 6 5 5 4 4 4 5 6 5 5 6 5 5 5 6 6 6 6 6 5 5 5 5 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 3 3 3 4 5 6 7 7 7 6 5 5 5 5 5 4 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 5 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 2 3 3 2 3 2 2 2 2 3 3 3 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 3 4 5 5 6 6 7 6 6 6 6 7 7 7 6 4 4 4 5 6 8 10 12 12 11 10 9 8 7 6 5 5 5 4 3 5 5 6 6 6 6 6 5 5 5 6 13 18 16 15 11 5 7 11 5 -2 1 5 3 5 0 -6 -6 -4 1 10 16 14 13 14 9 2 4 4 2 3 3 7 9 7 8 10 8 5 8 14 11 8 7 7 11 13 4 1 6 10 9 5 3 3 4 6 6 5 5 5 4 5 7 8 8 14 23 31 35 30 18 10 7 6 5 5 5 5 4 4 5 4 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 6 7 8 9 10 11 12 13 14 13 10 7 5 4 3 3 1 -6 -7 2 5 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 6 5 4 4 6 0 -10 -8 -3 -4 -7 -3 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 5 8 8 7 5 4 5 6 6 6 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 5 10 19 21 13 6 3 1 0 4 8 9 8 7 6 5 6 8 7 7 7 6 4 6 8 6 4 4 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 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 3 4 4 3 3 4 5 7 7 7 5 5 4 5 5 5 5 4 3 4 3 3 2 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 6 6 7 7 7 6 5 4 3 4 5 6 8 10 10 10 10 9 8 7 6 5 5 4 4 3 4 5 6 6 6 6 6 5 5 4 5 9 12 10 10 11 8 7 5 3 6 4 2 -2 6 8 1 -1 -0 5 9 6 6 6 8 6 2 4 3 1 7 10 7 11 9 8 9 8 6 8 10 9 9 5 5 8 6 3 4 8 8 7 5 2 2 8 9 7 5 4 5 6 6 6 6 9 17 27 34 29 17 9 6 6 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 6 7 8 9 10 11 12 13 14 13 10 7 5 4 3 2 -1 1 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 6 5 5 5 5 4 4 3 -3 -8 -4 6 6 1 0 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 3 2 2 2 5 7 7 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 3 3 4 4 3 3 1 -0 -2 -2 -2 -2 -3 -1 5 11 12 7 4 2 2 6 10 11 10 8 9 9 9 10 8 7 9 8 7 6 6 5 6 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 6 7 7 7 6 6 6 5 5 4 4 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 4 4 3 3 3 4 5 7 7 6 5 4 5 5 5 5 5 4 4 3 3 2 3 3 3 2 2 1 1 2 2 3 3 3 4 5 5 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 3 3 3 3 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 6 6 7 6 6 6 6 6 6 7 6 4 3 3 5 6 7 8 9 10 9 9 8 7 5 5 5 4 3 3 4 5 5 6 7 7 7 6 5 5 4 5 7 10 11 7 7 9 3 -2 9 8 -2 -2 6 13 11 6 1 8 11 3 3 4 4 4 7 7 3 4 13 13 4 5 8 8 9 5 1 3 4 7 6 4 3 3 1 2 6 7 6 8 7 5 8 13 10 6 4 4 6 6 6 5 5 10 19 26 25 16 8 6 6 6 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 9 9 10 12 12 12 12 11 10 8 6 5 3 3 2 2 3 4 4 3 3 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 4 5 3 -3 -4 5 9 5 1 1 1 1 2 2 2 2 2 2 3 3 2 2 2 3 3 3 2 2 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 5 7 6 5 5 5 5 6 6 6 5 6 5 5 4 3 3 3 4 4 3 3 3 3 1 -2 -6 -11 -13 -10 -12 -12 -8 -3 2 7 7 6 4 5 8 10 9 7 7 13 13 10 16 15 10 10 8 7 7 5 5 5 5 5 5 5 4 4 4 5 5 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 6 5 6 7 8 8 7 7 7 6 5 4 4 4 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 1 3 4 4 3 3 3 4 5 6 6 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 2 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 6 6 6 6 6 6 6 7 6 7 7 5 3 2 4 6 7 8 8 9 9 8 7 7 5 4 4 4 4 3 4 5 5 6 7 8 7 7 6 5 4 4 6 11 13 7 2 6 3 -2 0 -1 1 6 7 8 8 5 3 13 14 4 5 8 4 2 8 7 3 8 15 11 8 3 4 7 7 -2 -6 -0 2 5 0 1 1 2 4 -1 1 3 5 9 1 4 10 11 8 5 5 5 4 5 6 5 6 12 19 22 17 8 5 6 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 5 7 8 9 10 11 12 11 10 10 10 10 9 7 5 4 3 2 3 4 4 4 3 4 4 4 3 4 4 5 5 4 4 4 5 5 5 5 5 5 5 3 -2 -5 -1 3 2 2 2 2 2 3 2 3 2 2 3 3 2 2 2 2 2 1 1 2 2 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 0 1 4 7 7 7 6 6 6 6 5 5 6 6 5 5 5 4 4 4 3 3 3 3 2 2 2 2 -1 -8 -11 -13 -11 -9 -10 -7 -1 2 5 6 7 7 6 9 8 6 5 1 3 9 11 15 15 11 8 6 5 5 5 5 5 5 5 6 5 2 -1 -0 3 5 6 5 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 7 8 8 8 7 7 6 5 4 4 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 1 1 3 4 3 3 3 3 4 5 5 4 4 4 4 4 3 2 2 2 3 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 3 3 3 3 4 4 3 3 3 3 3 2 2 3 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 6 6 6 7 6 6 6 7 7 5 3 3 5 7 8 8 9 8 8 7 6 5 4 5 5 5 4 3 4 6 7 8 8 8 7 7 6 4 4 6 10 11 9 4 4 6 7 5 4 5 6 5 0 2 3 5 12 8 5 7 9 7 3 4 3 3 8 14 12 11 4 2 7 2 -7 -5 3 9 8 -1 0 -2 0 7 8 5 -2 1 6 -1 -0 4 3 4 6 9 8 4 3 5 6 10 15 22 23 14 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 9 10 11 12 11 10 10 10 10 10 10 8 5 5 5 7 6 5 4 4 4 4 3 3 4 5 6 5 5 4 5 5 5 5 6 5 5 5 5 2 -2 -2 1 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 1 2 3 2 2 2 1 2 2 1 1 0 0 2 7 10 10 7 6 6 6 5 5 6 6 6 5 5 5 5 4 4 3 3 3 2 2 2 0 1 2 0 -1 -2 -1 2 0 -0 3 5 5 5 6 7 6 7 7 6 8 3 -5 -2 4 9 9 6 5 6 5 4 4 4 4 5 6 8 9 5 -4 -8 -4 3 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 7 6 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 nan nan nan nan nan 1 1 1 2 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 2 1 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 2 2 2 3 2 3 3 4 3 3 3 3 3 3 2 2 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 3 3 3 3 2 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 7 7 6 5 6 6 7 6 4 3 4 7 8 9 9 8 7 6 5 5 4 4 5 5 4 3 4 5 7 8 8 8 8 7 6 5 4 4 5 7 9 8 5 8 11 11 11 8 8 6 1 2 4 8 8 2 4 6 7 10 7 6 4 4 7 11 12 9 4 4 6 -2 -6 0 6 12 11 7 1 -2 -0 3 6 8 4 6 6 5 1 2 2 6 9 10 8 6 5 7 9 13 20 26 21 11 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 7 9 9 10 11 11 10 9 10 10 10 11 10 7 8 14 15 11 9 7 6 5 5 4 4 4 5 5 6 6 6 5 5 5 5 6 6 5 5 4 6 6 1 1 3 3 3 4 4 3 3 2 2 2 2 2 2 1 2 2 2 2 2 1 1 0 0 1 1 1 2 2 3 3 3 2 2 2 2 1 0 2 6 10 13 11 7 5 6 5 5 5 6 6 6 5 5 6 6 5 5 4 3 3 3 4 4 1 -4 1 6 6 5 4 4 4 4 4 4 5 5 4 7 8 7 7 9 15 14 2 -4 -0 4 5 5 5 5 5 4 4 4 4 5 6 9 15 15 5 -4 -8 -4 4 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 5 5 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 2 1 2 3 3 3 2 3 4 4 4 3 3 3 3 4 4 4 3 2 3 3 3 4 4 4 4 4 3 3 3 3 2 3 3 2 1 1 2 2 2 2 2 3 3 3 3 3 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 4 5 5 4 4 4 5 6 6 6 7 6 5 5 6 6 7 6 5 4 4 6 8 9 9 8 7 5 5 4 4 4 5 5 4 2 2 5 7 8 8 7 7 6 6 5 5 3 3 4 6 6 5 7 8 6 4 7 12 12 10 8 6 6 7 6 7 6 7 12 12 9 7 5 6 7 9 5 -0 1 4 -1 -1 3 3 6 10 11 1 2 4 3 4 2 3 9 3 6 5 4 7 13 15 10 7 4 3 6 10 14 20 23 15 7 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 10 10 11 10 10 9 10 10 10 10 9 11 15 18 18 17 14 11 10 8 7 6 7 7 5 5 6 7 6 5 5 5 5 6 5 5 5 6 7 5 4 3 3 3 3 3 3 3 2 3 2 1 1 1 1 2 2 2 2 2 2 1 1 0 0 -0 0 2 4 4 4 3 3 2 2 2 2 3 6 10 14 15 11 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 3 4 5 10 11 3 1 5 6 6 5 5 3 3 3 3 4 6 7 10 14 12 10 11 15 20 14 4 3 4 4 5 5 5 5 5 4 4 5 5 5 7 15 21 15 9 4 -2 2 5 5 6 6 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 8 8 8 6 5 5 5 6 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 4 3 3 2 2 3 3 2 2 3 5 5 4 3 2 2 3 5 6 5 4 3 3 3 3 4 4 5 5 4 3 4 4 4 4 4 4 3 3 2 2 3 3 2 2 2 2 2 2 3 3 3 2 3 3 2 2 2 3 3 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 2 2 2 3 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 5 5 5 6 6 6 5 5 5 6 6 6 6 5 4 5 6 8 9 8 7 6 4 4 3 3 4 5 4 3 2 4 7 8 6 6 6 5 5 5 4 3 3 3 4 6 6 7 6 4 2 10 12 11 9 6 4 4 8 12 11 7 9 11 14 13 9 4 3 4 4 -2 -7 -3 6 5 4 1 1 5 8 7 -1 3 3 5 11 4 3 3 2 3 6 7 9 15 16 11 6 2 2 5 5 8 16 18 10 5 5 4 4 4 4 3 4 4 3 4 3 4 4 4 4 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 7 8 9 9 9 9 10 10 10 10 10 10 10 10 11 14 18 20 19 19 18 16 15 16 16 14 10 7 6 6 6 6 6 5 6 7 7 6 6 7 9 11 7 3 3 3 2 2 3 2 2 3 3 3 2 2 2 1 1 1 2 2 2 2 2 2 2 2 3 5 6 5 3 3 3 3 3 4 6 9 12 14 15 14 10 5 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 9 16 13 5 4 5 6 6 6 5 5 6 6 6 6 10 16 19 18 13 10 10 11 11 8 5 5 5 4 5 5 5 5 5 5 5 4 4 5 10 16 14 10 11 6 3 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 7 8 8 7 6 6 7 7 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 3 3 4 2 1 1 3 5 4 4 3 2 1 3 5 7 6 4 4 4 3 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 3 3 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 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 4 4 4 5 5 5 6 5 4 4 5 6 6 6 6 6 6 4 5 7 8 7 7 6 4 3 3 3 3 4 4 3 3 3 7 7 6 5 5 4 4 4 4 3 3 4 7 12 10 8 4 2 4 9 9 8 2 -1 -0 6 11 10 9 7 7 7 12 14 11 6 4 6 5 0 -3 1 8 9 5 1 2 5 7 4 -1 0 2 7 10 4 1 6 10 7 2 5 11 12 10 9 5 5 10 11 7 9 16 14 7 5 5 4 4 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 5 6 7 8 9 9 9 9 9 9 9 10 10 10 11 11 11 12 13 15 16 18 20 21 23 22 20 18 14 10 8 8 8 8 10 12 15 16 13 12 12 13 13 5 2 2 2 2 2 2 2 3 5 6 5 5 5 4 2 1 1 1 2 3 4 5 6 6 7 8 10 11 8 2 -1 2 6 8 10 14 17 17 15 14 13 9 4 0 -0 1 3 3 3 3 2 2 2 1 0 -1 -3 -5 -3 -2 -2 0 4 11 12 7 5 4 4 5 5 5 6 9 7 8 10 9 10 13 14 9 6 6 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 6 9 9 7 7 5 3 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 7 8 8 7 7 8 8 7 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 3 4 4 4 3 2 1 3 4 4 4 4 2 1 3 5 7 5 4 4 4 4 4 4 5 5 5 4 4 5 5 6 6 6 5 5 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 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 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 5 5 6 7 7 7 6 5 4 6 6 7 6 5 4 3 3 2 3 3 4 4 3 4 6 7 5 4 5 5 4 4 3 2 2 5 11 14 11 7 0 1 6 5 1 6 9 10 4 6 8 6 3 4 6 6 10 13 12 11 9 10 10 9 7 5 6 5 2 5 5 6 7 3 1 -0 5 9 6 5 3 9 17 14 3 2 10 10 8 7 6 7 11 12 12 17 19 12 6 5 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 5 5 6 7 7 8 8 7 8 9 9 9 10 11 12 12 11 10 9 9 10 12 14 16 16 15 16 17 17 18 17 16 15 18 22 21 20 18 18 18 18 17 10 2 2 2 2 2 2 2 3 5 7 9 10 10 10 8 5 3 1 0 2 4 8 11 13 13 12 12 12 15 16 7 -4 -3 8 15 17 20 20 17 12 10 11 10 8 4 -0 -2 -1 -0 0 2 2 1 -2 -2 -3 -5 -8 -12 -13 -12 -9 -6 -3 4 8 6 4 4 5 5 6 7 5 7 6 5 8 6 3 4 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 8 9 6 2 6 9 8 6 5 5 6 5 5 5 5 5 5 5 6 7 6 6 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 2 3 4 4 3 3 3 3 3 3 3 4 4 3 2 3 5 6 5 5 4 3 4 4 4 5 5 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 3 2 2 2 2 2 2 1 1 1 2 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 6 7 7 7 6 5 5 5 6 6 5 4 3 3 2 2 3 3 4 4 5 7 8 4 4 6 6 5 4 3 1 2 6 11 9 9 5 -1 3 7 7 -2 9 19 15 7 1 0 6 6 5 7 6 5 9 12 13 13 14 12 9 7 4 4 3 2 10 9 5 6 3 1 3 8 8 7 6 5 7 14 13 7 6 8 6 8 9 7 7 8 9 14 20 16 9 6 5 5 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 7 7 7 8 9 11 12 12 12 11 10 10 9 8 8 8 7 7 8 9 12 16 19 19 19 19 18 14 11 11 13 14 15 13 5 2 2 2 2 3 2 2 4 6 9 12 15 16 16 12 8 6 3 -1 -0 5 11 16 18 17 13 11 13 19 23 17 6 1 9 19 21 21 17 12 8 7 9 11 11 10 6 2 -2 -4 -4 -2 1 1 -3 -7 -7 -7 -7 -9 -11 -12 -11 -6 -3 1 4 5 6 6 7 9 13 15 9 6 5 3 2 3 3 3 3 4 4 5 5 6 6 7 6 6 7 6 6 6 5 5 6 6 6 6 6 6 6 5 6 8 9 5 7 11 10 7 6 6 7 6 4 4 5 5 5 5 5 6 6 6 6 5 5 6 7 7 8 7 7 7 8 7 8 8 8 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 4 4 4 4 3 3 3 4 4 3 3 3 2 1 2 3 5 6 6 5 4 4 3 4 4 4 4 4 4 4 4 5 6 6 6 7 7 6 6 6 5 4 4 3 2 2 2 2 1 1 1 1 1 1 2 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 5 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 6 5 4 3 2 2 2 3 3 4 5 6 7 8 6 5 7 7 6 5 4 2 2 6 7 5 8 6 4 5 4 -2 -5 3 16 7 8 -1 -3 5 8 7 12 9 1 3 10 13 15 16 12 8 3 3 5 4 4 10 9 5 4 1 1 7 10 6 4 3 3 4 8 7 7 9 8 5 7 9 8 7 8 10 16 18 11 7 6 6 5 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 6 6 6 7 7 9 9 10 11 11 11 10 10 9 8 6 6 6 6 5 5 6 7 8 11 10 7 5 5 5 6 6 7 8 6 3 2 3 3 3 3 2 2 4 7 11 14 17 20 21 17 10 8 7 -0 -4 1 11 17 18 16 11 9 12 22 30 25 16 15 15 17 18 15 11 7 5 6 7 9 11 12 11 8 4 -2 -7 -8 -6 -5 -8 -10 -7 -3 -1 -1 -0 0 -1 2 4 4 3 4 6 7 8 10 14 20 17 11 8 4 3 3 2 2 3 3 4 4 4 5 6 6 6 7 7 7 6 6 5 5 5 6 6 7 7 6 6 6 5 5 6 7 8 10 10 8 7 7 9 10 4 2 4 5 5 4 4 4 5 6 6 6 6 6 6 8 9 9 8 8 7 7 8 8 8 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 5 5 5 4 3 3 3 4 4 4 4 3 2 1 1 2 4 5 5 5 4 3 3 4 4 3 4 4 4 4 4 4 5 5 6 6 6 6 7 7 6 5 4 4 3 3 3 2 1 1 1 1 1 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 3 4 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 6 8 8 8 9 8 6 5 5 5 6 6 5 4 3 2 2 2 3 4 5 7 8 9 9 8 7 6 6 6 5 3 4 6 6 5 7 8 12 7 3 -2 2 -1 8 2 12 6 2 1 4 6 14 10 2 2 8 11 14 15 9 6 5 6 7 6 5 6 6 5 5 2 6 9 9 3 -0 -0 3 2 5 3 5 6 5 6 7 7 7 7 9 13 18 15 8 7 7 6 5 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 6 7 7 8 9 9 10 9 9 9 8 7 6 6 6 5 5 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 4 3 2 3 4 7 11 14 16 18 22 24 18 14 14 8 -3 -7 0 11 13 10 8 8 11 19 29 30 19 15 15 13 12 9 6 4 4 3 2 3 5 5 4 6 6 2 -6 -12 -12 -9 -6 -3 -1 1 3 4 4 4 5 5 5 4 4 5 7 7 7 1 -0 10 14 10 8 5 4 4 3 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 5 5 6 6 7 7 6 6 6 5 5 5 6 8 9 8 7 7 8 9 11 10 4 4 5 5 5 4 4 4 5 6 6 6 6 6 8 10 11 10 8 8 8 8 8 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 5 5 5 5 4 4 4 4 4 5 4 4 2 1 2 2 3 4 4 4 3 3 4 4 3 3 3 3 4 3 4 4 4 4 5 5 6 6 6 7 7 6 5 5 4 4 4 3 2 2 2 2 1 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 3 3 4 3 3 3 3 3 3 4 3 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 3 4 5 5 6 4 4 5 5 5 4 5 5 5 6 5 6 8 10 11 11 10 9 7 6 5 5 6 6 5 4 4 2 2 2 3 3 4 6 8 10 10 9 7 6 6 6 5 4 4 6 7 8 8 10 11 6 3 7 11 4 7 9 15 10 7 -2 0 3 5 5 2 5 8 9 11 10 6 3 5 6 10 11 9 7 5 2 2 7 14 13 7 1 -3 -3 2 1 3 5 5 4 1 5 6 6 6 8 11 15 17 13 8 7 7 5 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 7 6 5 5 5 5 5 4 4 4 5 5 5 4 4 4 5 6 6 7 7 7 7 7 7 7 6 6 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 3 4 6 9 11 13 14 18 24 25 22 22 18 7 -6 -11 -5 1 1 2 4 8 13 17 22 16 8 8 8 7 5 3 2 1 -1 -6 -9 -6 -4 -8 -9 -3 1 -2 -6 -4 1 4 3 2 3 5 6 4 2 2 3 5 5 7 9 12 12 8 4 -1 2 7 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 6 6 6 6 5 5 5 5 6 7 7 6 6 5 5 5 6 7 8 6 6 7 8 8 9 10 8 6 6 5 5 5 5 5 5 5 6 6 5 6 8 10 11 11 9 8 8 8 8 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 nan nan nan 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 4 3 3 3 3 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 5 5 5 5 4 3 3 3 3 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 5 5 4 4 4 4 4 3 3 4 3 3 4 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 4 4 3 3 4 6 6 5 5 5 5 5 5 5 5 6 6 6 7 9 12 13 14 12 10 8 7 6 6 6 6 6 5 4 3 3 3 3 3 4 6 8 10 11 10 8 7 6 6 5 4 4 7 9 9 7 7 7 10 -2 2 4 7 4 9 12 9 10 -1 1 3 -2 3 3 4 7 8 9 9 5 0 0 4 10 13 10 9 8 3 1 9 15 15 7 1 -0 3 7 2 0 5 6 2 0 4 5 6 6 8 12 17 17 11 8 8 7 5 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 4 5 4 4 4 3 3 3 4 5 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 4 5 7 9 10 11 13 16 19 19 21 19 11 3 -10 -16 -12 -12 -8 -6 0 8 9 11 10 6 7 5 4 2 -0 -3 -6 -8 -10 -15 -16 -12 -10 -12 -10 -2 3 5 5 6 8 5 4 6 7 7 7 6 4 5 9 12 12 12 10 12 13 13 9 4 6 7 7 7 7 6 6 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 4 4 5 6 7 7 6 5 4 4 5 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 6 5 6 5 6 7 9 11 11 9 9 10 12 10 9 9 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 5 6 6 6 5 4 3 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 3 3 4 4 5 5 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 5 5 5 5 6 5 5 5 6 6 6 7 8 11 14 16 15 14 11 8 6 6 7 7 7 7 6 4 4 3 3 3 3 4 5 7 9 10 10 9 8 7 6 6 5 5 7 9 8 4 2 8 14 -1 -1 -3 3 -2 7 5 3 7 2 3 7 1 3 3 1 6 9 8 8 5 2 -1 0 6 7 5 8 13 10 5 8 9 9 5 1 4 13 10 2 -1 3 3 -1 1 4 4 6 6 8 14 19 16 10 9 8 6 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 6 6 7 6 5 5 4 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 4 4 4 4 3 3 3 3 4 4 4 4 5 8 9 10 10 11 11 11 15 18 12 5 1 -7 -10 -11 -12 -14 -12 -3 4 7 7 7 6 5 4 0 -2 -3 -6 -8 -5 -4 -8 -7 -1 -1 -2 0 5 8 8 6 7 7 7 9 11 9 11 17 15 12 14 17 18 15 6 5 10 9 7 7 7 7 7 7 7 8 7 6 6 5 5 5 5 5 5 5 6 6 6 7 6 5 6 6 5 4 4 4 5 7 7 8 8 5 0 3 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 8 10 9 8 8 12 17 17 14 11 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 4 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 4 3 3 3 3 4 4 4 4 3 3 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 3 4 4 4 4 5 5 5 3 4 4 3 3 4 4 5 5 6 6 5 5 5 5 6 7 7 10 14 18 19 18 16 13 9 6 7 8 9 8 8 7 5 4 4 4 3 3 3 4 6 8 9 9 9 9 8 7 6 6 6 7 8 5 1 1 11 12 1 -2 4 2 -5 5 -1 -0 1 7 7 8 1 1 2 1 7 12 10 6 6 8 4 -0 1 3 3 9 14 11 5 5 6 3 3 3 6 14 8 3 0 0 3 4 7 5 4 6 7 8 13 18 14 8 8 8 6 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 4 4 5 6 6 6 7 6 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 3 2 3 3 4 5 4 4 5 6 7 8 8 8 7 7 13 22 22 11 5 1 -0 -0 -3 -7 -15 -15 -9 -1 4 6 5 6 6 3 2 6 8 4 3 4 5 5 6 6 6 5 5 6 6 5 6 7 7 11 14 13 15 22 23 20 16 13 13 14 9 4 6 6 6 5 5 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 5 4 4 3 5 6 7 7 10 11 3 0 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 7 7 7 7 5 5 5 6 7 8 7 6 6 10 18 26 24 14 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 6 7 6 6 7 7 7 7 7 6 6 6 5 6 7 7 7 7 7 7 6 6 6 5 6 5 5 4 4 3 3 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 3 3 4 4 4 3 4 3 3 4 4 4 4 4 4 4 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 5 3 3 4 4 4 3 4 5 6 7 6 6 6 5 6 6 6 9 14 19 23 23 20 17 13 8 5 6 8 9 9 8 7 6 4 4 4 4 3 4 4 5 6 8 8 8 8 8 7 6 6 8 6 5 4 3 2 12 10 3 -1 12 8 -2 -6 -7 3 1 9 8 8 5 3 3 4 9 14 11 7 7 8 7 3 2 2 5 11 14 8 1 3 3 1 4 7 10 10 6 5 2 0 8 11 11 7 6 7 7 9 14 18 14 9 9 8 6 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 4 4 4 5 5 5 4 4 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 5 5 5 5 5 5 4 3 2 2 3 3 4 5 5 5 5 5 6 6 6 6 6 7 11 21 30 26 13 4 2 2 3 2 -5 -12 -16 -14 -6 -1 -1 -0 3 7 7 10 13 10 7 6 7 7 7 6 6 6 5 4 4 5 5 6 5 11 15 15 14 14 16 14 10 6 6 9 9 6 6 6 5 5 5 5 5 5 6 6 7 7 6 6 6 6 5 4 4 4 5 5 6 6 6 6 6 5 6 5 4 2 3 5 6 7 8 10 9 4 4 5 5 5 5 5 6 5 5 6 6 5 5 5 5 5 7 9 10 10 9 7 6 6 6 5 5 4 5 6 12 23 27 18 10 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 6 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 5 5 5 6 6 5 5 4 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 3 3 3 3 3 3 3 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 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 3 4 4 6 7 7 7 6 6 7 6 7 15 23 28 28 24 19 15 10 6 4 5 8 10 10 9 8 7 6 5 4 4 4 4 4 4 5 6 7 7 7 6 7 7 8 7 4 4 6 7 3 12 13 4 1 14 13 6 -3 -6 4 4 7 6 7 10 4 4 9 10 10 9 7 9 9 7 5 6 3 5 12 14 6 0 1 0 1 6 10 13 12 8 6 2 4 12 13 6 5 7 7 6 8 14 18 12 9 9 8 6 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 6 5 4 3 2 2 3 4 4 4 5 5 5 5 5 6 6 5 5 6 8 13 22 29 25 17 12 7 3 3 2 0 -5 -14 -15 -13 -14 -11 -7 -5 -4 -1 5 9 8 6 5 4 4 5 5 5 5 5 6 7 7 7 7 9 10 8 6 6 6 4 4 5 5 6 6 6 6 5 5 5 5 4 5 4 4 5 6 6 6 6 6 6 5 4 4 4 5 5 5 6 6 6 5 5 6 9 7 -1 0 4 5 6 7 8 8 7 5 5 5 4 5 5 5 6 6 6 5 5 5 5 5 6 7 9 14 18 17 11 6 5 4 3 3 4 5 5 8 13 16 16 11 8 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 7 7 8 8 7 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 5 6 5 5 5 6 6 7 7 6 6 6 5 5 5 5 4 4 4 3 3 2 2 2 2 3 4 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 6 7 7 7 7 8 7 8 16 31 40 35 27 21 16 11 7 4 3 5 7 10 10 10 9 8 7 6 5 4 4 4 4 4 5 5 6 6 5 6 7 9 8 6 3 4 5 3 1 10 13 8 5 12 13 10 6 3 7 7 5 4 1 6 2 3 11 9 4 7 9 10 10 5 6 8 6 6 9 10 6 2 1 1 2 5 8 11 13 10 4 2 6 10 11 6 5 9 10 7 6 11 14 10 9 9 8 6 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 5 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 6 6 5 5 4 3 2 2 2 3 3 4 4 4 5 5 6 5 5 5 5 5 5 5 7 10 17 26 31 27 21 13 7 5 4 4 -2 -10 -12 -13 -14 -11 -10 -11 -7 0 4 6 6 4 3 4 5 5 7 9 10 10 10 12 14 14 8 5 3 3 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 5 5 4 5 5 5 6 5 5 6 5 5 5 4 5 5 5 6 6 6 5 6 8 12 5 -1 3 4 5 7 8 7 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 8 17 27 28 18 9 5 4 3 3 4 5 5 6 7 9 10 9 7 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 4 3 3 2 2 2 1 1 2 2 3 4 4 4 5 5 7 7 7 8 7 6 5 5 5 5 5 5 5 4 4 4 3 3 3 4 3 4 4 4 4 4 3 3 4 4 5 5 6 5 5 6 7 7 7 6 7 6 6 6 6 6 5 5 5 5 5 3 2 1 2 2 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 5 4 4 3 3 4 4 4 3 4 4 4 4 4 5 6 7 8 8 8 9 9 15 34 49 49 34 21 14 11 7 3 2 3 4 7 10 11 11 9 8 7 6 5 4 4 4 4 4 5 5 6 6 7 8 8 8 6 6 5 5 4 -0 -0 3 8 15 12 10 9 5 3 7 12 12 6 4 -1 -3 -0 1 7 7 4 7 10 8 7 5 7 7 5 4 3 2 1 5 10 8 3 2 4 6 10 6 1 2 5 9 11 9 8 10 10 6 1 6 10 12 10 8 8 6 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 4 5 5 6 6 5 5 5 5 5 5 5 5 4 3 2 2 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 8 17 22 24 26 25 20 15 13 11 7 6 7 4 -2 -1 0 -0 2 5 6 6 6 7 7 7 8 8 11 17 17 14 14 16 17 15 10 5 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 9 9 4 3 3 4 6 7 8 7 7 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 8 15 27 34 26 11 5 4 3 4 5 5 6 5 7 7 6 6 6 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 3 3 4 4 4 3 3 2 2 1 1 1 1 1 2 2 3 4 5 6 6 7 7 6 5 4 4 4 5 5 5 5 4 4 3 3 3 3 4 4 4 4 3 3 3 4 4 4 5 5 6 5 5 5 6 6 6 5 6 5 6 6 6 6 6 6 6 6 6 5 4 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 5 6 7 8 8 10 12 15 25 40 43 37 24 14 10 7 3 0 0 2 4 7 10 11 11 10 9 8 6 5 3 3 4 4 4 5 6 7 9 10 8 7 6 4 5 10 10 7 5 6 3 6 12 9 6 7 4 2 4 7 11 9 5 -0 -2 2 2 3 5 5 5 7 7 6 7 6 4 2 -0 -2 -2 -1 6 14 12 2 0 2 3 5 2 -0 3 8 10 12 9 5 6 6 2 -3 1 9 14 12 8 8 6 5 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 6 6 6 5 5 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 5 4 5 5 5 5 5 5 5 5 6 5 5 3 2 2 3 3 4 4 3 4 4 4 5 4 5 4 5 4 4 4 4 4 5 7 11 17 22 24 24 23 22 21 24 26 21 13 9 9 9 10 13 17 16 11 16 18 14 16 13 11 17 20 15 11 12 13 13 12 8 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 5 5 5 5 6 6 6 7 6 6 6 6 6 4 3 3 4 6 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 7 8 8 10 16 24 24 13 5 4 5 5 5 6 5 5 6 6 6 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 4 3 4 4 5 5 5 5 4 4 3 2 1 1 1 0 0 1 2 3 5 6 5 6 6 5 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 5 5 5 6 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 3 3 2 2 2 2 2 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 5 6 6 7 8 9 12 16 23 29 24 16 16 15 13 12 6 1 -1 1 3 4 7 9 10 11 11 10 8 7 4 3 3 3 4 4 5 8 10 12 11 8 6 6 3 5 7 7 9 12 12 9 7 6 1 -1 2 7 8 3 -1 4 12 9 3 4 8 5 3 5 3 3 5 8 4 3 3 2 3 -1 -1 3 3 4 9 7 0 -1 1 2 -2 -1 2 7 14 13 10 4 -1 1 2 1 -0 3 12 18 14 7 8 7 5 5 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 4 4 4 4 4 5 5 5 5 5 5 6 5 4 3 2 2 3 4 3 3 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 5 7 11 16 18 19 20 21 20 25 30 27 20 19 17 17 20 23 23 21 23 24 23 21 17 10 9 12 11 8 9 11 13 12 9 5 3 3 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 6 4 3 3 3 5 6 7 7 7 7 6 5 6 6 6 6 6 6 7 7 7 6 7 8 8 8 9 10 10 8 6 6 7 7 6 5 5 5 5 5 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 6 5 4 4 5 5 5 5 6 6 6 6 6 5 4 3 2 1 1 0 1 2 3 4 5 5 6 6 5 4 4 3 3 3 4 4 5 4 3 3 3 4 4 4 5 5 4 3 3 4 4 4 5 5 6 5 5 5 4 4 4 3 3 3 3 3 3 3 4 5 5 5 6 6 7 7 7 6 5 3 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 6 6 6 7 8 10 15 21 26 23 8 4 8 9 10 11 4 -1 1 2 3 5 7 9 10 11 11 10 9 7 5 3 3 3 3 4 6 9 11 12 9 9 8 6 5 7 6 4 7 8 6 8 11 6 -0 -5 -3 6 12 6 -1 3 12 11 6 7 9 6 7 8 5 5 8 9 1 -2 1 3 3 1 4 9 5 4 5 3 -1 -4 -0 4 2 -0 4 11 18 13 5 -0 -3 -1 1 3 6 7 15 20 11 7 9 7 5 5 5 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 5 5 5 5 4 5 5 4 3 3 3 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 3 3 3 4 5 6 8 9 9 8 7 11 18 25 25 23 23 21 18 15 15 16 14 14 14 13 12 7 5 7 9 11 11 11 10 9 8 6 5 4 5 5 5 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 6 6 6 7 7 7 6 6 4 3 2 4 5 6 7 8 7 5 5 5 6 6 7 7 6 7 7 7 7 7 8 8 7 7 6 3 2 4 6 7 7 6 6 5 5 5 5 5 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 4 3 3 2 1 1 2 2 3 4 5 5 6 5 4 3 3 2 3 4 4 5 4 4 4 4 4 5 5 4 4 4 3 4 4 5 5 5 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 8 9 7 3 1 -0 0 1 1 0 1 1 1 1 2 2 2 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 7 7 8 12 20 26 24 14 3 9 11 4 5 4 0 -1 2 4 4 5 7 8 10 10 10 10 9 7 5 3 2 3 4 6 9 12 11 9 8 10 7 2 7 11 12 5 7 -0 -6 6 12 7 4 -4 -3 7 8 6 4 5 8 8 6 6 4 5 11 12 8 11 16 10 1 -2 -1 0 2 2 5 10 5 4 3 2 1 -5 2 9 7 4 7 18 21 9 2 -0 -1 -2 -0 6 12 10 14 17 9 8 10 8 6 5 4 4 4 3 4 5 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 3 4 3 4 5 5 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 3 4 5 5 5 5 4 4 4 4 3 3 3 3 3 4 5 5 4 4 4 6 9 13 14 15 11 8 6 6 5 5 5 3 4 5 5 5 6 9 12 12 10 7 6 6 6 6 6 6 6 6 7 6 6 5 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 6 6 7 7 7 7 7 6 4 2 3 4 5 6 7 7 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 5 6 6 6 6 5 5 5 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 5 5 5 5 5 6 6 6 6 7 8 7 7 7 7 6 6 5 4 2 2 2 2 3 4 5 5 5 4 4 3 3 3 3 4 4 5 5 4 4 5 5 5 5 5 5 4 4 5 5 6 6 6 5 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 7 9 9 6 2 1 1 1 0 0 0 0 1 1 1 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 6 7 7 7 9 16 26 29 21 9 3 8 4 -3 -0 -1 -2 1 3 5 5 6 8 8 9 9 9 10 9 8 5 2 2 3 5 8 13 15 12 7 5 4 6 7 4 5 7 4 6 -0 -4 3 12 15 8 1 3 5 4 3 5 5 4 4 5 4 4 8 13 12 10 14 18 10 1 3 4 2 3 -2 -3 7 9 5 2 0 1 0 6 10 8 5 10 22 24 14 4 -0 -2 -3 3 12 15 10 13 16 11 8 10 8 5 4 4 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 3 3 3 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 5 5 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 3 3 3 3 4 6 9 11 10 8 6 5 6 6 7 7 7 6 7 7 7 6 5 3 3 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 8 7 5 3 2 3 5 6 6 6 6 5 5 5 5 5 6 7 7 7 7 6 6 7 7 7 8 8 9 8 6 5 4 4 5 6 6 6 6 6 7 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 6 6 5 5 5 6 7 6 6 6 7 7 7 7 8 8 8 7 7 5 4 2 2 2 3 4 5 5 4 4 4 3 3 3 4 4 5 5 5 4 4 5 5 5 5 4 4 4 5 5 6 7 6 5 4 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 4 4 5 7 8 8 6 4 3 2 2 2 1 1 2 2 2 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 8 9 13 24 34 30 16 3 -3 -4 -9 -10 -3 -0 0 1 3 5 6 7 8 8 8 8 8 9 9 8 5 2 2 4 6 9 13 14 12 8 4 -0 1 6 4 2 3 5 2 2 5 3 11 18 6 3 3 1 0 2 4 4 3 3 3 3 6 11 13 9 7 10 11 6 2 6 8 10 6 -6 -7 8 14 5 0 -1 -1 5 6 4 7 10 11 16 23 21 8 -3 -4 2 11 16 13 9 12 18 12 8 9 7 4 4 4 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 3 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 5 7 8 8 6 5 6 6 6 7 8 7 6 6 7 6 6 5 3 0 -1 1 5 5 4 5 4 5 5 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 5 5 5 6 6 6 7 7 8 7 4 3 3 4 4 5 5 5 6 5 5 5 4 5 6 7 7 7 7 6 6 6 7 8 9 11 12 11 8 5 5 4 5 6 6 7 7 6 6 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 6 6 5 5 6 7 7 7 7 6 6 6 6 7 8 8 9 9 8 6 5 4 3 3 4 4 4 4 5 5 5 4 3 3 4 5 5 4 4 5 5 4 4 4 4 3 3 4 5 5 5 5 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 3 3 4 4 5 8 8 8 6 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 3 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 15 22 33 35 24 10 -2 -6 -10 -16 -14 -6 -0 1 2 4 5 6 7 8 8 8 7 7 7 8 7 5 3 3 4 6 7 8 10 8 7 7 5 1 -0 -1 1 5 5 0 2 8 6 3 6 4 0 -4 -2 1 3 2 2 4 4 4 4 7 11 13 10 6 4 4 4 4 4 5 10 8 -5 -6 13 21 3 -0 3 -2 4 7 2 6 15 14 17 27 25 9 -3 -3 6 14 14 9 7 13 20 14 8 9 7 4 3 3 3 3 4 5 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 4 5 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 5 5 5 4 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 6 6 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 4 4 4 3 3 3 4 5 6 6 6 5 5 6 6 6 6 7 7 7 6 6 5 5 4 3 1 -5 -6 2 6 4 4 4 4 4 4 5 5 6 6 5 5 4 4 5 6 6 5 5 4 4 5 5 5 5 6 6 7 7 8 7 5 3 3 3 4 4 4 4 5 5 5 5 4 5 5 6 7 8 7 6 6 6 6 7 8 10 12 13 11 8 6 5 5 6 6 6 6 5 6 7 6 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 6 7 7 6 5 4 5 6 7 7 7 6 6 5 5 5 6 7 8 9 9 8 8 7 6 5 4 4 3 4 5 5 5 5 4 4 4 5 5 5 4 5 4 4 4 4 3 3 3 3 4 5 4 4 3 2 3 3 3 2 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 3 3 4 5 7 8 8 6 6 6 6 7 6 6 6 6 6 5 4 3 2 1 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 6 6 6 7 10 15 24 33 36 29 14 4 -1 2 -8 -15 -10 -4 -1 0 2 4 5 6 7 8 8 8 7 6 5 6 6 6 5 5 6 6 5 5 6 5 3 5 9 11 9 3 -0 3 3 1 4 9 8 0 -4 2 2 -3 -2 5 4 2 2 4 4 5 7 7 10 15 14 7 2 2 4 4 4 4 6 3 -5 -5 17 25 3 1 6 -2 1 4 3 4 11 13 23 33 25 7 -2 1 9 13 10 6 7 13 21 16 7 8 7 5 3 3 3 3 4 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 4 3 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 6 6 5 5 5 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 4 3 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 5 4 4 4 3 4 4 5 5 4 4 5 5 5 6 6 6 6 6 6 5 4 4 4 6 8 1 -10 -6 5 5 4 4 3 3 3 4 5 5 6 6 6 5 5 4 5 5 5 5 5 3 2 3 5 5 6 7 6 6 7 7 6 4 3 3 4 4 4 4 4 4 5 5 5 4 5 6 7 7 7 6 6 6 7 7 8 9 10 11 10 9 7 6 5 6 6 5 5 6 7 7 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 6 7 7 6 5 5 5 6 6 6 6 5 5 4 5 5 5 6 7 8 8 8 8 7 7 6 5 3 3 3 4 5 5 5 4 4 5 5 5 4 4 4 5 5 5 4 3 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 2 2 3 3 3 3 6 7 7 7 6 6 7 7 7 7 7 6 6 6 5 4 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 6 7 9 14 22 29 32 29 21 6 -4 -1 -1 -8 -10 -4 -2 -0 1 2 4 5 7 7 8 8 7 7 6 6 5 5 6 8 8 5 5 5 5 5 4 3 3 5 8 10 11 6 3 3 3 6 10 13 8 -1 2 2 1 1 3 4 4 5 5 5 8 10 5 8 14 15 8 2 3 4 5 5 6 3 -1 -4 -1 17 19 3 2 4 -1 -3 -2 4 9 5 8 29 36 20 4 -1 6 13 13 8 6 8 13 20 16 7 8 7 5 4 4 3 4 5 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 3 2 2 3 2 3 3 3 3 3 3 3 4 4 4 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 8 13 10 -3 -6 3 6 5 4 3 3 3 3 4 4 5 6 7 8 6 2 3 5 5 6 7 5 1 0 4 5 6 6 6 6 6 6 6 6 4 3 3 4 4 4 3 4 4 5 5 4 5 6 6 7 7 6 6 6 7 7 8 9 8 7 8 10 8 7 7 6 6 6 6 6 7 6 6 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 7 7 6 5 4 5 6 5 5 5 5 4 4 4 5 5 5 6 6 7 7 8 8 7 6 4 3 3 3 3 4 4 4 4 5 5 5 5 4 4 5 6 7 7 6 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 6 6 6 6 6 6 6 6 6 7 6 5 5 6 5 5 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 6 7 8 8 10 14 19 23 23 21 17 10 0 -8 -9 -19 -17 -9 -3 -1 0 2 3 4 5 7 9 9 8 7 7 8 7 6 6 7 9 8 3 2 4 4 6 7 4 7 8 4 3 2 2 2 4 7 9 15 21 14 3 3 2 2 2 0 1 4 5 6 7 11 8 1 3 10 13 11 6 3 2 6 10 9 5 -0 -2 3 14 13 4 1 1 0 -2 -2 4 9 3 12 34 32 14 2 2 9 13 11 7 7 9 15 19 14 7 7 7 6 5 4 3 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 5 6 7 7 8 7 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 9 15 11 1 -2 3 6 5 5 4 3 3 3 3 3 4 5 8 11 10 1 -1 4 5 6 7 8 5 2 3 5 6 6 6 6 6 6 6 6 5 3 3 4 4 4 3 3 4 5 5 5 5 5 6 7 7 6 6 6 6 7 7 8 7 6 8 11 12 10 9 8 6 5 5 5 5 5 5 5 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 3 4 6 7 6 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 7 8 8 8 6 4 3 3 3 4 4 4 4 5 5 5 5 4 4 5 7 8 9 8 8 8 7 6 4 2 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 5 5 6 5 4 4 5 5 5 5 4 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 8 8 10 12 14 17 17 15 12 9 1 -5 -6 -8 -13 -18 -14 -5 -2 0 2 3 4 4 5 7 9 10 10 8 8 9 9 8 7 8 8 7 2 1 5 3 6 7 4 7 8 2 0 -2 -1 -0 6 10 11 20 26 17 7 5 5 5 2 1 1 2 4 5 8 9 7 2 2 7 12 15 11 3 0 5 10 12 7 1 3 7 9 10 9 7 3 4 1 3 1 1 8 25 32 20 6 2 5 10 11 8 6 7 11 15 19 12 6 7 7 7 6 4 3 4 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 4 3 3 4 3 3 3 3 4 4 4 4 3 3 4 4 5 6 7 6 5 4 4 3 4 3 3 4 4 4 5 5 5 6 7 7 6 5 4 4 5 4 4 5 5 5 4 4 3 3 3 3 4 4 3 2 1 2 6 14 13 3 0 4 5 5 5 5 5 4 4 3 3 3 4 8 12 13 7 1 4 5 5 5 8 9 5 4 5 5 5 7 7 7 6 7 6 6 4 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 8 12 17 18 13 9 6 5 5 5 5 5 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 2 2 2 2 3 4 5 6 5 4 3 4 5 5 5 5 5 4 4 3 3 3 3 4 5 6 7 7 8 8 6 5 4 3 4 4 4 4 4 5 5 6 6 5 4 5 6 7 8 9 12 15 15 10 5 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 6 6 6 5 4 5 6 6 6 4 3 3 3 4 4 4 4 4 4 5 5 6 5 5 4 4 4 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 8 12 10 14 16 14 13 10 9 7 0 -7 -10 -5 -2 -1 -0 -1 1 1 3 4 4 4 4 5 6 8 10 11 10 9 11 12 10 9 8 6 4 -0 -1 6 6 5 5 6 6 3 -0 0 3 4 5 10 7 7 18 22 16 11 8 8 9 7 5 4 5 7 4 4 6 7 7 6 7 12 16 12 3 1 4 8 7 2 2 8 8 5 6 9 11 8 9 5 6 4 3 15 28 23 10 0 1 6 8 7 6 6 7 11 16 20 13 6 7 8 6 7 5 3 3 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 6 5 5 4 4 4 3 3 4 3 3 3 4 5 4 4 3 4 4 4 4 6 7 7 5 4 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 2 2 3 3 2 -0 -2 -1 -0 3 9 6 3 4 5 5 5 5 6 5 4 3 3 3 4 7 9 11 12 7 5 5 5 4 6 7 5 4 5 5 5 6 7 7 7 6 6 6 6 4 4 4 5 5 5 4 5 5 5 6 5 5 6 7 7 6 6 6 5 5 6 6 7 8 11 15 17 16 11 8 7 6 6 6 5 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 2 3 3 4 5 5 4 4 4 4 4 4 5 4 4 3 3 4 3 3 4 4 6 7 8 8 7 6 5 4 4 5 5 5 5 5 5 5 6 6 5 4 4 4 5 6 7 11 17 19 13 6 3 2 3 2 2 2 2 2 1 1 2 2 2 3 3 3 4 4 5 5 5 6 6 7 6 6 6 5 6 6 6 5 4 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 10 14 13 14 13 7 6 7 10 9 6 6 7 10 10 9 7 4 4 4 4 4 5 5 5 5 6 7 10 12 12 11 12 13 10 8 6 5 4 2 3 6 7 6 6 7 6 7 5 3 4 5 6 7 -0 3 11 11 10 12 8 6 11 12 7 7 11 10 4 -0 5 10 11 9 8 12 16 13 7 4 4 5 2 -1 4 9 6 4 3 4 7 10 11 5 2 12 17 20 21 13 1 -6 -0 5 4 4 5 6 8 11 17 18 11 6 7 8 6 7 5 3 3 4 5 4 4 4 5 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 6 5 5 4 4 3 4 3 3 3 4 4 4 4 4 3 3 3 4 5 6 7 7 5 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 6 6 5 5 5 5 5 6 6 6 5 5 4 3 2 2 4 5 4 -0 -0 -0 -4 -5 2 4 4 5 5 5 6 5 5 4 4 4 4 5 6 6 7 9 8 8 7 5 4 5 5 4 4 4 4 5 5 5 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 6 5 6 6 7 8 10 11 12 12 9 8 8 7 7 7 8 8 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 5 7 8 7 7 6 5 4 5 6 6 6 6 5 5 5 6 6 6 6 4 4 4 4 5 7 12 15 12 7 4 4 3 3 3 2 2 2 1 1 2 2 2 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 5 4 4 4 4 5 4 4 5 5 5 4 4 3 3 4 4 4 3 4 3 3 4 3 3 4 5 5 5 5 6 5 5 6 7 12 16 15 10 6 4 5 7 12 14 19 30 27 21 15 10 6 5 5 5 5 5 5 5 5 6 6 7 8 12 16 15 13 11 8 6 5 4 5 6 9 9 7 6 7 6 4 10 13 11 6 4 8 -0 -7 2 5 1 4 6 4 5 7 4 2 6 10 8 3 2 10 14 12 8 8 11 14 11 11 10 7 1 1 5 5 4 6 4 2 3 7 8 11 2 -6 13 30 24 14 3 -7 -7 1 3 4 7 7 7 9 10 14 17 11 6 7 8 6 6 5 4 4 4 4 4 4 4 4 4 3 4 3 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 5 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 5 7 7 6 4 3 3 3 3 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 7 6 7 6 5 4 3 3 4 9 12 8 5 4 0 -5 -2 3 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 5 6 7 7 7 6 6 6 5 4 4 4 4 4 5 6 7 6 6 6 6 6 6 5 4 4 5 5 5 6 6 5 5 5 6 6 7 8 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 8 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 8 7 6 6 5 5 4 5 5 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 6 7 7 7 6 5 5 5 6 7 8 7 5 5 5 6 6 6 7 6 4 4 4 4 4 6 8 8 6 5 5 4 4 3 3 2 2 2 2 1 2 2 3 3 4 4 4 4 4 5 5 5 5 6 6 7 8 7 7 6 7 7 8 7 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 6 6 5 7 9 13 17 17 12 6 4 5 6 8 10 14 22 33 23 11 6 3 3 5 5 4 5 5 5 5 6 6 6 7 8 14 20 18 13 9 6 5 4 3 1 1 6 11 10 10 10 6 7 12 15 12 6 7 19 -1 -6 5 4 1 6 6 2 2 0 -4 -2 3 3 3 5 11 16 17 11 6 5 7 9 8 11 12 7 3 11 15 6 6 12 7 4 7 9 10 11 4 -3 16 36 21 8 -3 -9 -1 4 3 6 9 7 7 9 9 12 19 16 7 7 7 7 6 5 4 3 3 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 6 6 6 7 6 6 4 4 4 4 3 2 3 4 4 4 4 4 3 4 3 3 5 7 7 7 4 3 2 3 3 3 3 3 2 2 2 2 2 3 4 4 5 4 4 4 5 6 6 7 7 7 6 6 5 4 4 4 10 16 16 10 6 5 1 1 3 3 4 5 5 5 5 5 6 5 6 6 6 5 4 3 4 4 5 6 7 8 8 6 5 5 4 4 3 3 4 5 6 6 6 6 7 7 7 5 4 4 5 5 5 6 6 6 5 5 6 6 7 8 8 8 7 7 6 7 6 6 6 5 6 7 7 8 8 8 9 9 9 8 7 9 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 13 12 11 10 9 7 6 6 6 5 5 5 4 4 4 4 3 3 3 3 4 5 5 5 5 5 7 8 7 6 5 5 6 6 7 7 6 5 5 5 6 6 7 7 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 3 4 4 4 4 4 4 5 5 5 5 5 5 7 8 8 7 7 6 7 7 7 6 5 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 6 6 6 6 9 15 18 17 12 6 4 5 5 5 7 8 10 13 10 -2 -8 -4 -0 3 5 5 5 5 5 5 5 6 6 6 7 10 15 23 20 12 7 7 5 6 5 1 -1 1 7 10 12 11 9 8 5 1 2 3 11 19 2 1 6 3 5 15 12 4 4 1 -2 1 4 3 5 11 13 15 17 15 10 6 4 5 5 8 10 5 7 16 15 8 14 16 8 7 11 8 11 13 14 8 26 35 17 -1 -12 -6 11 13 10 12 11 8 7 8 8 12 19 18 8 6 6 6 6 5 3 3 3 4 4 4 5 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 7 6 5 4 4 4 4 2 2 3 3 4 4 4 4 4 4 3 3 4 6 7 7 5 3 3 3 4 3 3 3 2 2 1 0 1 1 2 3 4 4 4 3 4 4 5 6 7 7 7 6 6 5 5 5 8 15 19 12 5 6 4 3 4 4 4 4 4 4 4 4 5 6 7 7 7 6 5 3 2 3 4 5 7 9 8 7 6 5 5 4 3 3 3 4 5 6 6 6 7 8 7 6 5 5 5 4 5 6 7 6 6 5 5 6 7 8 8 8 7 7 7 6 6 6 6 6 6 7 7 8 7 7 8 8 9 8 8 9 8 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 15 14 14 13 12 11 9 8 7 7 7 7 6 6 5 5 4 3 3 3 4 5 6 5 5 5 6 7 7 7 6 5 5 6 6 6 5 5 4 4 4 5 6 7 6 6 5 5 6 6 5 4 3 3 3 3 4 5 5 5 5 4 3 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 6 7 7 9 8 7 6 6 6 6 6 5 4 4 5 5 5 5 5 5 4 4 3 3 3 4 4 3 3 3 4 4 5 5 5 5 5 6 6 6 6 9 17 18 12 7 5 4 4 4 5 7 7 4 -1 -13 -18 -13 -4 2 4 5 4 4 5 5 5 5 5 6 8 10 13 17 22 18 11 7 7 6 7 5 4 4 4 5 7 7 7 8 4 -4 -6 -3 -1 12 10 3 5 5 2 9 18 11 5 7 4 3 7 8 7 10 11 9 10 12 20 21 10 -1 -1 2 4 7 5 7 7 4 8 15 11 5 9 13 8 4 9 18 18 32 29 9 -15 -20 3 27 28 21 17 12 9 8 8 8 11 18 18 9 5 6 6 6 5 3 3 3 3 4 5 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 4 4 3 3 2 2 3 4 4 4 4 4 4 4 4 4 5 6 7 5 3 3 3 4 4 4 3 3 3 1 -0 -2 -3 -2 -1 2 4 4 3 3 4 4 5 6 7 7 6 6 5 5 5 7 12 18 12 2 4 7 6 5 5 5 4 4 3 3 4 5 7 8 7 7 7 6 4 2 3 3 4 5 7 7 7 7 6 5 4 4 4 3 3 4 5 6 6 6 7 7 7 6 6 5 4 4 5 6 7 7 5 4 6 6 7 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 13 14 14 13 13 11 9 9 9 9 9 9 8 7 6 6 6 4 3 3 3 4 5 6 5 5 4 4 6 6 6 5 5 5 5 5 5 4 3 3 3 4 4 5 6 5 6 6 7 7 5 3 2 2 2 3 5 6 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 7 9 9 8 6 5 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 3 3 4 5 5 5 5 5 5 6 6 6 5 6 14 17 11 7 6 4 4 4 6 9 7 2 -5 -12 -9 -3 3 5 5 5 5 5 5 5 5 5 5 8 11 14 16 18 17 12 8 7 4 5 4 0 2 10 12 10 9 5 4 4 1 -1 2 -2 0 8 -3 -2 8 9 4 8 14 6 4 6 3 5 10 8 7 7 5 5 8 8 14 20 11 -6 -4 7 3 -2 -2 -3 -3 0 7 8 3 2 7 9 5 0 4 17 28 33 22 -0 -18 -13 13 33 34 25 17 11 9 9 8 7 9 16 19 11 5 5 6 6 5 3 3 3 3 4 5 4 4 4 4 5 5 6 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 3 2 2 2 2 3 4 4 4 5 5 4 4 4 5 6 7 6 4 3 2 2 4 4 4 4 4 3 2 -3 -8 -7 -8 -6 -1 3 4 3 4 4 5 5 6 7 6 6 5 5 5 6 10 16 13 5 4 7 7 7 7 6 5 4 3 3 4 6 7 8 8 8 7 6 5 4 3 3 3 4 5 6 6 6 6 5 5 5 5 4 3 3 4 5 5 6 6 7 7 6 6 6 5 4 5 6 8 7 6 5 5 6 6 6 7 7 7 7 7 8 8 7 7 7 7 6 6 7 7 7 7 7 9 10 11 11 10 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 12 12 12 11 10 10 9 10 10 11 12 11 10 7 7 8 8 6 5 5 5 6 6 6 8 7 5 3 4 5 6 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 6 6 5 4 3 2 2 3 4 5 6 6 6 5 4 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 8 9 9 7 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 11 16 13 8 6 4 4 5 9 8 6 6 4 2 6 7 7 6 6 6 6 5 5 5 5 7 9 12 16 18 17 15 11 7 6 7 6 8 5 0 -0 7 9 9 9 7 2 -0 1 5 8 8 10 1 -11 -5 3 6 6 6 4 -1 6 8 5 8 8 5 6 4 3 6 8 6 5 6 3 -5 2 17 6 -4 -4 -4 -0 5 5 -0 -2 0 6 6 1 0 3 17 34 29 14 -4 -10 1 16 24 24 18 12 8 8 9 8 6 9 18 22 12 4 5 6 6 5 4 3 3 4 5 5 4 4 4 4 5 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 3 3 3 2 3 2 2 3 2 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 2 2 1 1 2 3 4 4 5 5 5 4 4 4 4 5 6 6 4 1 -1 -2 -1 1 3 4 4 5 8 3 -5 -7 -8 -10 -7 -1 3 3 4 4 5 5 6 7 6 6 6 6 6 6 8 13 14 8 7 8 8 8 7 7 6 5 4 4 5 7 7 8 7 7 7 7 7 5 4 4 4 4 4 4 5 5 6 5 5 6 5 5 5 4 3 3 5 5 5 6 6 6 5 6 6 5 5 6 7 7 7 6 6 6 5 5 6 6 6 6 7 7 7 7 7 8 7 6 6 7 7 7 7 7 7 9 10 12 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 12 11 10 8 7 8 9 9 9 11 11 8 6 7 10 11 9 8 8 9 9 9 9 11 11 9 5 3 4 5 5 4 3 3 3 3 3 3 4 3 4 4 4 4 5 5 6 6 5 4 3 2 3 4 6 6 7 7 6 4 3 3 4 4 4 4 3 4 4 3 4 4 4 5 5 6 6 6 6 7 8 9 9 8 7 6 5 4 5 5 4 3 3 3 4 4 3 4 4 5 4 4 4 5 4 5 5 5 6 6 5 5 5 5 5 5 4 4 5 7 16 18 9 5 4 4 5 8 6 5 8 9 10 10 9 7 6 6 6 6 5 5 5 6 11 14 16 18 17 14 9 7 6 7 8 8 10 10 6 4 1 4 7 7 6 1 0 3 6 5 8 10 8 10 9 1 -1 4 4 -5 -1 8 9 7 10 8 9 7 3 5 9 9 6 3 2 1 4 10 18 10 5 4 5 12 16 9 -2 -2 0 3 3 2 5 10 19 31 22 7 -3 -1 9 14 16 15 12 8 6 7 8 6 6 11 19 16 6 4 6 6 6 5 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 3 3 2 2 2 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 6 6 6 6 6 5 4 3 3 2 1 1 2 2 3 4 5 5 5 5 5 4 4 4 4 5 5 4 0 -6 -10 -10 -5 1 4 4 4 9 10 4 0 -1 -4 -5 -1 3 4 4 4 4 5 6 6 6 7 7 6 6 6 6 9 10 8 9 9 8 8 8 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 6 5 4 5 5 4 4 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 6 7 6 6 5 6 7 7 6 6 6 6 5 4 5 5 5 5 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 9 11 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 9 10 9 8 7 8 8 7 6 8 9 6 4 5 9 11 11 10 11 12 12 11 11 12 13 13 10 6 4 4 4 4 4 3 2 2 2 2 3 4 3 4 4 4 5 5 6 6 6 5 4 4 4 5 6 8 8 7 6 5 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 7 9 9 8 7 7 6 5 5 6 5 5 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 8 19 20 9 4 4 6 7 3 -0 2 6 8 9 8 7 7 6 6 7 7 6 5 5 10 15 16 16 15 11 8 7 7 9 12 11 7 5 7 6 4 3 2 7 8 4 1 2 5 4 4 5 2 8 24 23 9 -1 1 1 -3 3 5 5 9 11 10 11 5 4 8 10 8 6 7 10 9 10 13 13 10 8 9 6 12 22 13 3 2 0 -2 -0 3 9 17 24 26 16 6 1 6 13 15 15 12 9 6 7 8 8 5 5 10 13 7 4 8 10 8 6 5 3 4 4 5 5 5 5 5 5 5 5 5 6 5 4 4 3 3 3 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 3 2 2 2 3 4 4 5 6 6 7 6 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 6 6 6 6 5 4 3 3 2 1 1 2 3 4 4 5 6 5 6 6 5 4 4 5 5 5 5 2 -6 -13 -14 -9 -2 4 3 3 5 8 7 6 5 4 1 1 4 5 4 4 4 5 5 5 6 6 6 7 6 6 6 7 7 8 8 8 8 8 8 7 5 4 5 6 6 6 6 6 6 7 7 7 7 7 7 6 5 5 5 4 4 5 5 5 6 6 7 7 7 7 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 5 5 4 4 5 5 5 5 6 6 8 9 9 8 7 7 7 7 7 7 8 8 8 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 7 7 7 7 8 9 8 6 8 9 7 4 4 6 9 9 10 11 12 13 11 10 10 11 13 13 10 6 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 7 8 8 8 7 6 5 5 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 8 8 8 7 7 6 6 6 7 7 6 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 5 5 5 5 4 5 5 6 6 10 19 17 7 4 6 8 9 5 -1 -1 6 8 8 7 6 6 6 6 7 7 6 6 9 14 14 12 12 10 7 6 6 8 11 13 12 5 -1 4 6 4 5 5 8 9 4 0 4 5 4 10 8 -2 2 16 18 10 2 -2 0 2 3 1 3 5 6 10 8 3 6 10 9 7 8 11 17 17 14 12 11 11 9 7 2 6 15 10 4 1 0 -1 -1 2 12 22 26 19 11 5 6 11 14 13 12 9 7 6 8 9 7 3 4 8 8 7 7 10 15 12 6 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 4 5 5 4 4 3 2 2 2 3 5 5 6 6 7 7 6 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 5 4 4 2 1 1 1 2 3 4 5 6 6 6 6 6 5 4 4 4 5 5 5 4 -0 -6 -8 -5 2 5 3 2 3 6 6 6 6 5 1 -3 0 5 5 4 4 4 5 5 5 5 5 6 6 7 6 7 7 7 8 8 7 7 7 6 5 4 5 6 6 6 6 6 6 6 7 7 8 8 8 7 6 7 6 5 5 5 5 5 6 6 6 7 8 8 7 5 5 5 6 7 7 6 5 4 5 6 6 5 5 5 5 6 6 6 7 6 5 5 5 5 5 5 5 5 5 7 8 9 9 8 8 7 7 7 8 8 8 8 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 6 6 7 7 8 8 8 9 10 9 6 4 5 7 7 8 9 11 12 11 9 7 8 9 10 10 7 5 5 6 6 6 6 6 6 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 8 8 7 8 8 8 8 7 6 6 5 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 7 7 7 7 8 8 7 7 6 5 5 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 6 7 7 11 19 16 7 5 8 10 12 14 17 13 12 11 9 7 6 6 6 6 7 7 8 10 14 16 11 10 10 7 7 8 7 8 10 11 8 4 3 8 8 6 9 11 9 11 5 0 4 3 5 13 4 -4 5 10 6 5 0 -2 4 6 4 4 4 1 -1 5 2 4 7 9 8 8 10 15 19 17 14 13 12 10 7 4 -1 0 6 8 6 4 2 4 4 6 17 25 21 12 5 4 9 12 13 11 9 7 6 5 8 8 4 2 4 7 7 7 8 11 17 14 7 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 5 5 4 5 5 5 4 5 5 4 4 4 4 5 5 4 4 4 4 4 3 3 2 3 3 5 6 6 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 6 6 6 5 4 4 3 1 1 1 2 4 4 6 7 7 6 6 5 6 5 5 5 5 5 5 5 4 3 1 2 5 4 1 -1 2 6 6 5 5 5 2 -5 -6 1 5 4 4 4 4 4 5 5 5 5 6 6 7 6 7 8 8 8 6 6 5 4 4 5 6 6 5 5 6 6 6 7 7 7 8 9 9 9 8 8 8 7 6 5 5 6 6 6 6 7 10 9 8 6 5 5 7 9 9 7 5 4 5 6 5 5 5 5 5 5 6 6 7 7 6 5 5 6 6 6 6 6 5 6 8 9 10 9 9 8 7 8 8 9 8 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 5 5 5 5 5 5 6 7 8 9 9 8 7 8 8 8 7 8 9 11 11 9 7 7 7 8 9 7 6 6 7 7 7 8 8 8 7 6 6 6 5 5 5 6 6 5 6 6 6 6 8 8 9 8 7 7 8 7 7 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 6 8 9 9 14 20 15 7 5 7 9 12 19 23 19 13 9 7 6 5 6 6 6 7 7 9 13 15 12 8 9 9 10 11 11 11 11 11 9 5 4 7 8 9 10 13 12 9 5 3 3 4 2 8 16 3 -1 8 3 -2 0 -2 2 9 9 7 8 6 3 1 -2 -3 2 6 7 7 8 11 15 14 10 9 10 9 7 3 2 -3 -5 2 8 14 16 10 6 5 10 19 22 14 4 -1 5 13 13 11 9 8 7 5 6 7 6 2 1 5 8 7 7 9 12 17 15 7 3 4 5 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 5 4 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 4 4 3 2 2 3 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 6 6 5 5 4 4 3 2 1 2 3 3 4 6 6 7 6 6 5 5 5 5 5 5 5 5 6 6 5 4 5 5 3 0 -0 4 6 6 5 5 5 4 -1 -2 3 5 5 4 4 4 4 5 5 5 5 5 6 6 6 7 8 8 7 7 7 5 0 1 5 6 6 6 6 6 7 7 7 7 7 9 9 10 10 9 9 8 7 6 6 6 6 6 5 5 10 13 12 8 6 5 5 7 10 11 10 7 5 4 5 5 5 5 5 4 4 5 6 7 7 6 5 5 5 6 6 7 6 6 6 7 9 10 10 10 9 8 8 8 9 9 8 7 7 6 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 4 4 3 3 4 4 5 5 6 8 9 10 10 9 8 8 9 9 10 10 9 8 7 7 8 8 7 7 7 8 8 8 8 8 7 7 6 6 5 6 7 7 6 5 5 5 5 5 7 8 9 9 7 7 7 7 6 6 6 5 4 3 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 5 5 7 8 11 13 15 21 24 16 7 5 5 8 11 13 8 8 6 5 5 5 5 5 6 6 6 7 10 13 13 8 6 7 9 12 14 13 15 18 16 10 5 3 4 4 7 7 5 6 8 2 -1 3 3 5 12 13 -2 -1 4 2 0 -1 -0 8 13 10 8 8 5 4 4 2 1 4 7 5 5 5 8 7 4 3 5 5 4 3 0 2 1 -7 -3 7 19 24 15 9 11 16 20 15 5 -5 -3 10 16 14 10 8 8 8 6 6 7 4 2 3 6 7 6 6 8 13 19 17 7 2 3 5 6 6 5 5 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 5 4 4 4 4 4 4 5 4 4 5 5 4 4 3 2 3 3 4 5 5 4 5 5 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 6 5 5 4 4 2 2 2 2 3 4 5 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 4 6 7 6 4 5 6 6 6 5 4 5 5 4 2 3 4 5 4 4 4 4 4 4 4 5 5 5 6 6 7 8 8 7 8 9 8 4 2 5 6 6 6 6 7 7 7 7 6 7 7 9 10 9 9 9 8 7 7 7 7 7 6 5 6 11 15 14 10 7 4 4 6 8 11 11 9 5 4 4 5 5 5 5 5 5 5 5 6 7 6 6 5 4 4 5 6 6 6 6 6 8 9 9 10 9 8 7 8 9 10 10 9 8 7 6 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 4 3 3 3 3 3 3 3 4 5 7 9 9 9 9 8 8 8 9 10 10 9 8 7 7 8 7 8 8 8 8 8 8 7 7 7 6 6 5 7 9 8 5 4 3 3 4 4 6 7 9 10 8 7 6 6 6 6 5 5 4 3 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 5 4 4 4 4 5 5 6 6 6 6 6 7 7 7 6 6 8 10 12 16 21 27 32 25 11 6 4 1 5 8 4 0 1 2 3 3 4 5 5 6 6 6 7 9 12 11 7 6 6 8 9 9 11 14 21 20 13 6 2 4 6 9 4 -3 -4 -1 1 1 4 4 8 12 1 -4 2 2 4 3 0 3 11 11 7 6 7 5 6 9 7 8 12 12 5 2 6 6 2 1 3 5 7 7 2 1 10 12 -3 -3 9 15 14 11 12 17 20 17 8 -4 -7 2 13 14 12 8 7 8 7 7 7 7 5 3 4 6 7 5 6 9 15 23 18 7 2 3 5 6 6 6 5 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 4 5 5 5 4 3 3 2 3 4 5 5 5 5 4 4 4 3 3 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 2 2 3 3 4 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 4 5 8 10 10 8 6 5 5 5 4 4 5 7 8 -0 -4 4 5 5 5 4 4 4 4 5 5 6 5 6 6 8 8 8 6 7 9 11 10 6 5 6 6 6 6 7 8 7 6 6 6 7 8 8 8 7 7 7 7 6 7 7 7 6 5 6 10 15 16 14 8 5 4 4 6 8 10 9 6 5 4 5 5 6 6 5 5 5 5 6 6 7 7 5 3 3 4 4 5 5 5 5 6 7 8 10 9 7 7 8 8 10 10 10 9 7 7 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 4 4 3 4 3 3 4 4 4 4 5 6 7 8 9 8 8 8 8 9 10 9 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 7 7 8 11 8 4 1 2 2 3 3 4 6 8 10 10 8 6 6 6 5 5 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 3 4 4 4 4 5 5 6 6 6 6 5 5 3 3 4 4 4 4 5 6 6 6 6 7 7 7 7 8 12 15 19 25 31 36 33 17 4 4 1 -5 -2 -1 -2 -0 1 1 2 3 4 5 5 6 6 7 7 9 11 12 10 9 8 7 4 3 6 11 14 15 14 9 7 8 12 11 10 8 2 -3 -0 4 7 8 10 8 -3 2 8 1 4 4 3 6 8 6 4 5 6 6 8 11 12 16 21 20 10 3 10 8 5 6 5 5 10 9 4 6 18 13 -1 5 14 9 1 3 6 10 12 15 8 -4 1 12 14 11 9 7 6 7 8 6 6 7 5 4 6 6 6 5 6 11 22 25 14 3 2 3 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 4 4 3 2 3 4 4 5 5 5 5 4 4 3 3 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 6 10 11 10 7 5 4 3 4 4 5 6 9 11 6 1 4 5 5 5 5 5 5 5 6 6 6 6 6 6 8 9 7 6 7 7 8 6 2 5 6 5 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 6 5 6 8 12 15 14 11 7 5 4 5 6 7 8 7 6 5 5 6 6 5 5 6 6 6 6 6 7 7 7 5 4 4 4 4 4 4 4 4 5 6 8 8 8 7 7 8 9 10 10 10 9 8 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 5 5 5 4 4 4 4 4 4 5 6 6 7 7 8 8 7 7 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 9 10 8 4 2 2 2 2 3 4 5 7 9 10 9 7 6 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 4 5 5 5 5 5 4 4 3 3 3 4 4 5 5 6 6 6 5 4 3 3 3 4 4 5 5 5 6 6 6 7 8 8 10 13 17 21 28 32 31 27 19 9 5 5 -1 -4 -6 -6 -3 0 1 1 2 3 4 5 6 6 6 7 7 10 14 16 14 12 10 8 5 2 2 8 10 9 11 14 12 10 11 10 12 9 10 8 3 3 7 10 8 4 4 11 9 2 4 5 6 6 5 3 4 5 5 5 7 11 14 17 18 13 12 10 10 7 11 13 10 7 7 5 1 0 1 -4 2 17 16 6 1 3 1 6 8 9 1 0 15 22 15 8 7 7 7 7 8 7 7 6 6 5 6 6 5 6 7 15 26 22 7 1 2 3 5 6 6 6 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 4 4 4 4 3 2 2 2 4 5 6 6 5 5 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 5 5 5 7 10 12 12 8 5 4 3 3 3 4 5 7 9 10 6 2 4 5 5 6 6 6 5 6 6 5 5 5 5 7 8 8 7 6 6 8 8 5 -2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 6 8 11 12 12 10 8 6 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 7 6 6 5 4 4 4 3 3 4 4 6 6 7 8 7 7 8 9 10 10 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 6 6 6 6 6 6 5 5 4 4 3 3 4 5 5 5 6 6 6 6 7 6 7 7 8 8 9 9 9 9 8 8 8 9 10 11 12 12 12 11 10 9 9 9 7 5 3 3 3 3 3 4 5 8 9 9 8 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 4 5 6 6 6 6 6 5 4 3 3 3 4 4 5 5 5 5 4 3 3 3 3 4 4 5 5 5 5 5 7 9 12 14 17 19 20 24 28 28 22 11 6 8 12 12 7 4 -0 -1 0 1 2 2 2 3 4 4 5 5 6 7 8 12 17 20 16 10 8 11 8 3 1 4 6 5 8 13 12 9 7 6 3 2 15 14 4 3 6 6 2 4 10 13 5 4 2 5 7 6 4 4 4 5 6 6 6 8 9 7 4 -2 4 14 8 6 13 18 17 12 5 1 -2 -2 -1 -2 7 14 16 10 6 5 1 2 10 4 -1 11 28 26 15 8 6 7 8 8 8 8 7 6 5 4 4 5 5 6 10 20 26 16 4 2 2 3 5 6 6 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 3 2 2 3 5 6 6 6 5 4 4 3 3 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 5 5 5 6 6 6 7 7 7 7 6 5 5 5 7 10 13 13 12 9 6 3 3 3 4 5 5 5 7 8 2 -4 1 5 5 6 6 6 6 6 6 3 1 2 3 4 5 6 6 6 6 8 8 10 5 1 5 6 6 6 6 6 6 6 6 7 6 6 5 6 7 7 7 7 7 7 7 7 7 6 5 5 6 8 9 10 10 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 6 6 6 5 4 4 4 4 4 5 6 8 8 7 8 8 9 10 10 9 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 7 6 6 6 5 5 4 4 4 3 4 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 9 8 8 8 9 11 12 12 12 12 11 11 11 11 10 8 7 6 5 4 4 3 4 5 7 9 8 7 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 5 6 6 7 7 7 7 5 4 3 3 4 4 4 4 5 4 4 3 3 3 3 3 4 5 5 5 4 6 8 13 19 22 21 19 17 17 19 22 19 10 1 6 15 18 16 13 7 5 3 1 1 2 3 4 4 4 4 5 6 7 11 15 20 19 14 8 8 12 10 5 1 -0 0 5 11 9 7 9 11 8 -1 2 8 4 1 6 8 4 -1 3 5 4 -1 -1 0 3 8 6 4 4 3 5 6 6 6 7 4 2 4 2 3 9 3 5 8 17 19 10 5 3 1 5 14 18 13 3 6 13 12 0 -4 2 13 5 8 23 29 21 12 8 7 7 8 8 8 7 6 6 4 2 3 5 6 7 13 23 24 12 2 2 3 4 5 6 6 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 2 2 2 4 6 7 6 5 4 4 4 3 4 5 6 6 6 5 4 4 4 5 5 4 4 4 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 5 5 5 6 5 5 6 6 6 7 6 6 6 6 5 5 4 6 11 15 15 14 11 8 5 3 3 4 5 6 6 5 4 7 4 -3 -2 5 6 6 6 6 7 6 7 6 2 1 1 1 2 0 2 5 7 8 6 8 10 5 5 6 6 6 6 5 5 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 5 6 6 7 8 9 10 10 9 9 8 7 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 4 4 4 5 6 7 8 8 8 8 9 10 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 6 7 8 8 8 8 8 8 8 9 11 11 11 12 12 12 12 12 11 11 10 10 9 7 5 3 2 3 5 7 8 7 6 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 7 8 8 7 6 6 5 4 4 4 4 5 5 5 4 3 3 3 3 3 4 5 5 5 5 7 14 22 26 22 16 11 9 9 10 17 21 17 8 5 11 15 15 11 7 5 2 1 1 3 4 4 4 4 5 5 7 11 16 18 19 15 12 11 12 13 12 9 5 1 -0 4 9 9 6 4 3 2 1 4 -2 -5 2 11 10 2 -2 1 1 -1 -1 -3 -1 3 8 6 3 2 2 4 7 6 5 7 7 8 13 10 8 11 5 4 -1 9 15 6 4 6 7 12 18 19 13 1 -5 9 17 1 -3 11 15 5 9 20 20 14 10 9 7 6 8 8 7 6 5 4 4 2 3 5 7 7 13 23 23 9 2 3 4 4 6 6 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 4 5 5 4 4 5 5 4 2 2 3 4 5 6 6 5 5 5 4 4 5 5 6 6 6 5 5 4 5 5 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 7 7 6 6 6 5 5 5 5 8 15 21 18 12 9 6 4 4 5 6 8 9 8 5 4 6 8 5 4 4 6 6 6 7 7 6 8 11 11 8 7 8 6 4 4 5 8 9 8 6 6 6 6 6 6 6 5 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 6 7 9 11 11 11 9 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 6 7 8 8 8 8 8 9 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 5 5 5 6 6 7 6 6 7 8 7 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 8 7 6 7 8 9 9 9 10 11 11 11 11 11 12 12 13 12 10 7 5 2 2 3 5 7 7 6 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 4 3 4 4 4 5 6 7 8 8 9 9 9 7 5 4 3 5 6 6 6 5 4 3 3 4 4 4 4 5 8 14 23 28 25 11 2 3 5 5 7 13 19 17 13 8 9 9 7 4 2 1 1 1 1 2 4 4 4 4 5 7 11 16 16 14 12 11 10 13 12 12 14 15 10 6 2 -2 -0 6 2 -2 -2 -1 2 2 0 3 8 10 9 1 -1 2 2 0 0 -3 0 4 6 7 4 2 1 4 9 5 4 8 11 14 15 9 11 14 12 8 1 1 3 2 5 8 13 17 20 16 3 -6 2 13 10 4 4 10 14 11 14 16 14 10 10 9 8 7 8 8 6 4 4 4 4 3 4 6 7 8 12 21 22 10 3 4 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 3 3 4 5 5 5 4 4 4 5 5 5 4 5 5 4 3 2 3 4 4 5 5 5 5 5 4 5 5 5 6 6 5 5 5 5 6 6 6 5 4 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 4 3 4 5 5 6 6 7 6 6 6 5 5 6 7 8 10 14 18 14 9 7 5 4 5 6 8 10 11 8 7 6 7 11 11 7 5 6 6 6 6 6 6 7 9 12 13 14 15 13 11 7 5 9 10 10 8 4 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 6 7 9 11 13 11 9 8 7 6 6 7 7 7 6 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 7 6 6 5 6 6 7 8 9 8 8 7 8 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 5 4 5 5 6 7 7 6 6 7 7 8 8 8 7 6 5 5 4 4 5 5 6 6 6 5 5 5 6 6 7 7 7 6 6 6 6 7 7 7 8 9 9 10 10 10 11 12 12 12 11 9 6 4 3 2 4 5 6 6 5 5 5 5 6 5 5 5 4 4 4 5 5 5 4 4 3 3 4 4 5 6 7 7 7 9 12 12 9 6 3 3 4 6 7 6 6 5 4 4 4 5 4 5 10 16 22 23 20 11 0 -5 2 7 5 6 11 13 8 6 6 6 3 1 -1 -1 -1 -1 1 2 3 4 4 4 4 7 11 16 16 11 8 7 7 6 8 8 8 15 20 14 8 4 1 3 7 3 2 5 9 5 0 4 10 9 6 9 3 -0 3 5 3 -0 1 4 5 5 7 6 2 1 7 11 7 5 10 13 14 11 5 7 11 12 10 10 2 -6 0 9 13 14 12 14 11 -1 -4 13 23 7 6 11 12 12 16 19 17 12 10 11 10 8 8 8 7 5 4 4 5 3 3 4 6 7 8 12 20 21 12 5 5 5 6 6 5 5 6 7 6 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 3 3 4 5 6 6 4 4 4 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 5 6 5 5 6 6 6 6 5 4 4 3 3 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 6 7 6 6 5 5 6 7 10 11 12 10 7 6 7 5 5 5 5 6 8 8 6 6 6 8 11 13 11 5 6 6 7 7 6 6 6 6 6 7 9 11 12 10 7 6 8 9 8 8 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 7 6 7 8 9 11 13 12 11 8 7 7 8 8 8 7 6 6 5 5 5 5 6 6 6 5 4 5 5 5 5 6 7 6 6 6 6 6 7 8 9 9 8 7 7 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 9 6 4 4 4 6 6 6 5 5 5 6 7 9 9 9 8 6 6 5 5 5 6 6 7 7 8 7 7 7 7 7 7 6 6 6 6 6 5 5 6 6 7 8 9 9 9 9 10 10 9 9 9 8 7 5 4 4 5 5 5 5 5 4 5 5 6 6 5 5 4 4 4 5 5 5 4 3 3 4 4 5 6 6 6 6 8 12 13 10 6 3 2 3 5 5 6 6 5 4 4 5 5 6 14 23 24 19 12 6 2 -0 1 5 8 9 8 6 5 -1 -10 -10 -6 -3 -4 -5 -5 -3 -1 1 3 4 4 4 4 7 12 16 16 13 8 7 8 8 6 4 2 2 10 17 15 7 5 8 13 13 7 4 6 8 8 8 8 10 8 5 12 5 -2 2 5 4 1 3 4 4 1 3 4 2 4 10 11 9 6 10 13 11 6 2 4 10 9 6 9 6 -1 3 6 10 8 2 2 5 5 10 21 19 6 13 21 19 24 28 19 14 11 11 10 9 8 8 7 7 5 4 5 4 3 2 3 5 6 8 13 21 21 13 6 6 6 6 5 5 5 7 7 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 6 7 6 5 4 4 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 5 6 6 7 7 7 6 6 7 7 7 6 6 5 4 4 4 4 3 4 4 5 5 5 5 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 6 7 7 6 6 5 4 4 6 10 14 16 13 8 3 4 5 5 5 5 5 6 5 1 -2 -2 3 9 13 14 8 5 6 6 7 7 6 7 6 6 6 6 7 8 8 7 5 6 9 9 7 6 5 5 5 6 6 5 6 6 7 7 7 7 7 7 7 8 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 7 8 8 8 7 8 10 12 14 13 11 9 10 10 10 9 8 7 6 6 6 6 6 7 7 7 6 5 5 5 5 6 6 7 6 6 5 6 6 6 7 9 10 9 8 7 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 9 7 5 2 3 4 5 5 4 4 4 5 6 8 8 9 9 7 6 6 6 6 7 7 8 9 9 9 9 9 8 8 7 6 6 6 6 5 5 4 5 5 5 6 7 8 8 9 9 9 8 8 8 8 8 8 7 6 5 5 5 5 4 4 5 5 5 6 5 5 4 4 4 4 5 5 4 3 3 4 4 5 6 6 6 6 7 9 10 9 5 3 2 3 3 4 5 6 6 5 5 5 5 13 26 29 19 9 3 1 1 3 5 6 14 18 12 3 -1 -4 -15 -21 -18 -11 -10 -9 -8 -4 -1 2 5 5 4 4 8 13 16 14 11 7 6 8 11 12 10 6 3 1 3 8 10 5 6 9 11 10 3 3 8 7 10 8 8 8 7 9 13 5 -3 2 5 4 3 3 3 3 1 1 1 2 8 12 9 7 4 9 12 7 3 1 4 8 8 6 7 6 5 4 2 5 4 -4 -7 -1 9 16 19 15 10 18 26 25 30 26 17 11 10 8 7 8 9 8 7 7 5 4 5 4 3 2 4 5 6 8 16 23 19 10 6 7 6 5 4 5 6 6 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 5 6 7 5 4 4 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 6 6 7 8 8 8 7 7 7 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 5 5 5 4 3 2 2 4 5 6 6 6 5 4 3 4 5 9 16 19 18 14 9 6 5 5 6 5 4 4 5 2 -3 -7 -5 2 10 15 13 6 6 6 7 7 6 7 6 6 6 6 7 8 9 7 5 4 7 9 9 7 6 6 6 6 5 5 6 6 7 6 6 7 7 6 7 7 7 8 7 7 6 6 6 5 5 6 6 6 6 6 5 5 6 8 10 8 7 8 9 11 13 14 13 11 12 12 12 11 9 8 7 7 7 7 7 7 7 8 7 6 6 6 6 7 7 8 7 7 5 4 5 5 6 8 9 9 8 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 8 9 8 6 2 2 3 4 4 4 4 5 5 5 6 7 8 8 8 7 6 6 7 8 9 8 8 8 9 9 9 8 7 6 6 7 7 6 6 6 5 4 4 4 4 5 6 6 7 8 9 9 8 8 8 9 9 9 8 7 6 6 6 5 4 4 5 5 6 6 5 5 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 6 6 6 5 4 3 3 3 4 5 5 5 6 5 6 12 22 24 16 9 4 2 2 3 4 2 7 20 28 22 9 1 -1 -6 -14 -16 -14 -13 -10 -7 -3 2 5 6 5 5 8 13 16 14 10 7 6 8 10 12 13 13 11 9 4 1 3 6 6 6 7 9 8 2 6 8 6 6 4 6 5 5 13 9 3 -0 4 6 5 3 2 2 4 5 1 0 3 7 11 6 2 2 8 7 3 1 -1 0 2 4 6 5 3 5 6 11 14 10 -3 -9 -1 9 13 16 21 22 22 22 23 22 17 12 9 8 6 5 8 10 9 7 7 5 4 4 4 3 3 4 5 6 8 15 20 15 8 6 7 6 5 4 5 5 6 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 2 2 2 3 4 5 6 6 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 8 8 7 7 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 4 4 3 2 2 3 5 5 5 5 5 4 3 4 9 16 23 23 17 12 9 7 6 6 5 5 4 4 4 3 -1 -2 0 6 13 16 9 5 5 6 7 7 6 6 6 7 7 6 7 8 8 5 4 6 9 9 7 6 5 6 5 5 6 5 6 6 6 6 6 6 6 6 6 7 7 8 7 8 7 7 7 7 6 6 6 6 6 7 6 5 6 8 9 9 8 8 8 10 12 13 13 12 12 13 13 11 11 9 9 9 8 8 7 7 8 9 9 8 8 7 7 7 8 9 9 8 6 5 4 4 5 5 7 7 7 8 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 7 9 9 6 4 3 3 4 4 4 5 6 6 5 5 5 6 7 7 7 6 6 8 9 9 8 8 7 7 8 7 7 7 6 6 7 8 8 8 9 8 6 4 3 3 3 4 4 5 6 8 9 9 8 7 7 8 9 9 9 8 9 8 7 5 4 4 5 5 6 6 6 5 4 4 4 4 4 3 4 4 4 5 5 5 7 6 5 5 5 4 4 4 4 4 5 6 6 5 5 5 6 12 23 26 14 5 4 2 3 4 6 4 -1 10 21 29 27 13 4 2 -2 -9 -11 -12 -9 -6 -3 2 6 8 8 6 7 11 14 13 11 10 7 5 7 10 12 13 13 13 12 8 6 6 4 5 6 6 11 9 5 4 3 3 5 8 10 6 5 12 3 0 4 2 3 5 6 4 5 12 10 2 0 3 6 8 8 1 3 7 4 5 2 -2 -2 -0 3 5 4 1 4 10 17 20 12 0 -3 5 9 12 18 24 26 22 18 16 15 12 9 7 5 5 6 8 8 8 8 7 5 3 3 4 3 3 4 5 5 7 12 15 16 13 8 6 6 5 5 4 5 6 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 2 2 2 2 3 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 3 4 5 5 5 5 5 6 6 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 5 5 4 4 4 7 14 25 31 24 14 10 9 7 6 5 5 5 5 4 3 4 3 4 6 10 14 13 7 5 5 6 7 7 7 6 7 7 7 7 8 8 6 4 4 7 10 9 6 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 8 10 10 9 8 9 11 13 13 12 13 13 12 12 12 11 10 10 9 8 8 7 8 9 10 9 9 9 8 8 8 9 9 9 7 6 5 4 4 5 6 6 7 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 8 9 8 6 5 5 5 4 4 5 6 6 6 5 5 6 6 6 6 6 6 7 8 9 9 8 7 7 6 6 6 6 7 7 7 8 9 10 11 11 8 6 4 2 3 3 3 4 5 6 7 8 8 7 6 6 8 9 9 10 11 10 8 6 5 4 4 5 5 6 7 6 5 4 4 4 4 3 3 4 4 4 5 5 6 6 5 5 5 5 4 4 4 6 7 8 8 6 6 7 12 21 25 16 6 1 -3 -3 3 7 7 2 -1 10 15 17 16 3 -6 -10 -15 -16 -12 -8 -4 -0 3 7 11 12 10 8 9 12 12 12 14 15 11 5 3 5 10 13 14 13 11 7 6 8 5 5 6 5 6 1 4 5 6 8 13 15 12 8 7 9 0 -1 5 1 0 4 7 8 14 19 12 3 3 4 3 6 9 2 4 5 7 8 4 3 3 5 7 9 8 1 2 7 11 10 6 4 6 9 8 13 19 21 21 19 16 13 11 10 7 4 4 6 7 8 8 8 8 7 5 4 3 3 4 4 4 5 6 8 9 12 17 18 11 6 6 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 2 1 2 3 3 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 6 12 22 31 30 20 13 9 8 6 5 5 5 6 6 5 4 4 5 6 8 12 12 8 5 5 6 6 7 7 7 7 7 7 7 7 8 7 6 4 4 8 10 8 4 3 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 8 10 11 9 7 8 10 12 12 13 13 12 12 13 13 12 12 11 10 9 9 8 9 9 10 10 10 10 9 8 7 7 8 8 7 7 7 6 6 7 8 7 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 9 9 8 6 6 7 8 8 7 7 7 6 5 5 5 6 6 6 5 5 6 8 9 9 8 8 8 7 6 6 6 6 6 7 7 9 10 12 12 10 7 4 3 4 4 5 5 5 5 5 7 8 8 7 7 8 8 9 10 10 10 9 8 7 6 5 5 5 6 7 7 6 4 3 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 5 7 8 8 7 6 8 13 19 17 8 1 -2 -6 -6 0 9 11 8 2 -4 -2 4 4 -2 -15 -22 -25 -23 -16 -7 -2 2 4 7 12 16 15 12 10 11 13 10 10 16 19 16 9 3 1 7 14 15 11 8 5 2 4 6 7 6 6 1 -3 2 8 8 8 15 12 9 11 11 7 2 2 5 4 2 1 4 8 14 15 7 4 7 5 2 7 7 0 -0 2 7 5 6 13 16 14 15 16 15 6 3 5 6 1 2 6 6 6 8 15 18 16 16 15 13 11 10 9 7 4 5 6 7 7 7 7 8 8 6 4 3 3 4 5 4 5 7 8 8 9 18 22 12 4 4 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 4 2 1 2 3 3 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 5 5 6 10 18 27 28 16 8 7 7 6 6 5 4 5 7 7 6 5 5 6 8 11 12 11 5 4 5 6 7 7 7 7 7 7 7 7 8 8 7 5 3 5 9 9 6 3 3 4 4 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 6 7 8 9 9 9 9 8 8 8 7 7 8 8 7 7 7 8 10 11 9 7 7 8 10 11 12 12 12 13 14 13 13 13 12 12 11 10 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 8 8 9 10 11 10 9 8 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 10 8 7 7 9 15 20 17 10 7 7 6 6 6 6 6 6 6 5 5 6 7 8 8 8 8 7 6 6 5 5 5 6 6 7 7 9 10 11 10 8 6 6 6 7 7 7 6 5 5 6 7 9 9 9 8 7 8 8 8 9 9 9 8 7 6 6 6 6 7 7 7 5 4 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 4 4 7 8 8 7 5 6 9 13 11 2 -6 -8 -10 -7 6 13 15 12 9 5 -1 -8 -0 2 -8 -17 -17 -15 -10 -4 1 4 6 8 11 15 17 18 18 17 16 14 9 6 10 14 14 10 5 2 6 12 12 10 8 7 3 3 4 4 4 6 3 1 2 5 5 5 10 3 4 13 11 5 6 8 7 7 5 4 4 8 11 8 4 6 8 5 6 10 6 -1 -3 2 6 2 13 27 27 20 19 22 18 11 7 8 5 2 7 5 0 5 13 17 15 13 12 10 8 8 9 9 6 4 5 5 6 7 7 7 8 9 8 5 4 4 4 4 4 5 6 7 6 11 22 23 11 2 3 6 6 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 5 4 2 2 2 4 4 5 5 5 4 4 4 5 5 6 6 6 6 5 5 5 4 4 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 6 8 15 24 28 19 6 3 2 3 5 5 5 5 6 7 7 5 5 6 7 9 10 12 12 8 5 5 6 6 6 7 6 7 7 7 7 8 8 7 4 3 5 9 7 4 3 4 4 5 5 6 5 5 5 4 5 6 6 6 6 5 5 5 5 6 7 8 9 9 9 9 8 8 8 8 8 7 8 7 7 7 8 10 12 10 7 6 7 8 10 10 10 11 12 13 14 13 13 13 12 12 10 10 11 11 11 10 10 9 9 8 8 8 8 7 8 8 9 9 10 12 13 13 11 9 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 11 9 7 5 7 13 22 28 20 10 6 5 6 6 7 6 6 6 6 6 6 5 6 7 7 7 6 5 4 4 4 4 4 5 6 7 9 10 10 10 8 7 7 9 9 10 9 8 7 6 6 6 7 9 10 10 9 7 7 6 6 7 7 7 7 7 7 8 7 7 7 7 7 6 5 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 6 6 7 8 7 5 5 8 10 8 2 -2 -3 -4 -5 5 16 15 12 8 7 6 2 -3 3 4 1 4 6 8 9 8 8 9 10 12 14 17 19 22 25 24 18 13 9 4 5 8 11 9 5 3 4 7 8 9 10 12 9 7 3 -0 4 7 4 5 4 1 5 9 4 -3 -1 6 4 3 8 11 8 7 8 8 8 12 16 9 3 6 6 5 9 11 6 4 6 6 6 6 19 28 22 15 12 14 13 10 8 6 4 8 10 4 4 13 22 20 14 11 8 4 4 7 9 8 5 5 6 4 4 6 6 7 9 10 9 7 5 4 4 4 3 4 6 6 6 13 20 17 11 6 4 5 5 6 6 5 5 5 5 6 6 7 6 5 5 5 4 4 5 5 5 5 4 3 3 3 4 5 5 5 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 11 21 29 26 14 9 4 -1 1 5 6 5 5 6 7 6 4 5 6 8 8 9 12 14 11 7 6 6 6 6 6 6 6 7 7 8 9 8 6 4 3 6 9 7 4 4 5 5 6 6 5 5 4 5 5 6 7 6 6 6 5 5 5 5 6 6 7 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 10 12 10 8 6 7 7 7 8 9 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 9 9 10 11 11 12 12 11 10 9 9 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 9 8 6 5 7 12 19 20 13 6 5 5 6 8 9 8 7 7 7 6 6 6 6 5 5 4 3 3 3 4 4 4 3 5 6 8 11 12 12 10 9 9 9 11 11 10 9 9 9 9 8 8 9 9 9 9 9 8 7 6 5 5 5 5 6 7 8 9 9 9 9 8 7 6 5 4 4 4 4 4 5 5 6 7 7 7 7 7 8 9 9 7 7 7 7 5 9 13 11 6 3 3 4 5 5 10 12 9 6 3 6 7 5 2 4 7 10 16 19 18 16 13 12 12 12 12 14 18 20 22 19 17 14 10 6 3 6 8 8 7 6 5 4 5 4 6 10 11 9 8 4 2 6 5 4 8 7 4 8 10 -1 -2 1 2 2 4 7 7 5 5 8 12 16 20 16 6 4 5 5 6 9 9 8 10 11 10 8 10 16 16 9 7 1 4 9 7 2 1 3 7 7 7 14 20 21 18 13 8 4 2 5 7 8 7 5 5 5 3 4 6 6 7 9 10 9 8 6 5 4 3 3 4 5 5 7 11 12 13 15 13 8 5 4 5 5 5 5 5 6 6 6 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 5 5 6 6 5 5 5 5 5 4 5 4 4 4 3 3 3 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 6 8 16 27 29 20 12 8 -0 -2 3 6 6 5 6 7 7 5 4 5 7 8 8 11 14 13 9 7 6 6 6 5 6 6 6 7 7 8 9 8 6 3 4 8 8 6 5 5 5 6 6 6 5 4 4 5 6 6 7 7 6 5 5 5 5 5 6 7 7 7 7 8 7 7 8 7 8 7 7 8 8 7 7 8 10 11 10 9 7 6 6 6 7 7 7 8 9 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 10 11 11 11 10 10 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 8 7 5 5 8 11 9 6 4 5 7 9 11 11 10 8 7 7 7 7 7 6 5 4 3 3 2 3 4 4 4 4 5 7 10 12 14 13 11 10 10 11 10 9 8 8 10 12 12 11 10 9 8 7 7 7 8 7 7 5 4 4 4 5 6 8 9 10 12 13 11 8 6 5 5 4 4 5 5 5 6 7 8 8 8 8 8 10 11 10 8 7 7 7 7 9 6 2 3 5 5 6 6 5 7 10 9 1 3 10 13 14 11 7 7 11 15 19 20 19 17 14 10 7 9 16 21 20 14 9 9 11 9 4 3 6 9 9 8 7 8 6 4 3 4 8 10 10 6 3 5 7 4 5 8 7 8 13 11 1 3 5 2 5 7 6 4 3 4 9 13 21 22 12 4 5 5 5 6 6 6 7 9 9 9 11 10 8 6 5 5 1 4 9 7 0 -3 0 5 7 10 15 16 13 12 9 6 4 5 7 8 9 9 7 5 3 2 5 7 8 9 9 9 8 8 7 6 5 4 4 4 5 6 8 8 8 11 14 14 14 11 6 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 6 5 6 6 6 6 5 6 5 4 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 7 10 19 27 25 14 6 0 -2 2 7 7 6 6 7 7 5 4 4 5 7 8 10 13 14 9 6 6 6 6 5 5 6 6 6 7 8 8 9 8 5 4 5 8 8 6 5 5 6 6 6 6 5 5 5 5 6 7 7 7 6 6 5 4 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 9 10 10 9 7 6 6 5 5 5 6 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 9 9 10 11 11 11 10 10 10 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 6 8 7 6 6 7 8 8 7 7 8 9 10 12 12 11 10 8 7 8 9 9 8 6 5 4 4 3 3 3 4 4 5 6 8 11 13 14 12 11 10 10 10 8 6 6 8 11 15 14 13 11 9 7 6 6 7 7 8 7 6 5 5 5 6 6 8 9 10 13 16 15 11 7 5 5 6 5 5 5 5 6 8 8 7 7 8 10 11 11 10 8 7 7 8 9 5 -1 -0 5 6 6 5 5 4 8 14 9 -1 5 16 20 18 14 11 8 7 12 17 20 19 16 7 -1 -2 9 22 24 17 8 6 8 11 10 5 4 5 9 11 12 12 12 9 5 3 1 5 8 11 6 2 5 6 5 8 11 7 5 8 8 6 7 6 7 6 7 7 5 4 6 10 15 17 14 6 3 5 4 3 5 6 7 7 5 9 11 11 11 10 7 6 3 5 8 6 3 -1 -1 0 6 12 12 10 10 9 7 6 8 10 9 9 9 11 12 8 4 2 3 7 10 11 10 8 8 8 8 7 7 6 5 5 5 6 6 7 8 8 8 9 12 18 18 8 5 6 4 4 5 5 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 7 7 7 7 6 5 6 6 7 6 6 6 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 6 7 12 20 25 19 10 2 -0 2 6 8 7 6 6 7 7 6 4 4 6 8 8 9 12 11 6 6 6 6 5 6 6 6 6 7 7 8 9 9 7 4 4 7 9 8 6 5 5 5 6 6 5 5 5 6 6 6 8 8 8 7 5 5 4 4 5 5 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 7 7 8 9 9 9 8 7 5 5 5 5 5 6 7 8 8 8 8 8 8 9 9 9 9 9 10 9 9 10 9 9 8 7 7 7 7 8 8 9 9 10 10 11 11 11 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 7 7 7 8 8 9 9 9 9 9 9 10 11 11 10 8 7 8 10 11 11 9 7 6 6 4 3 3 4 4 4 5 7 10 12 12 11 10 10 9 9 6 5 5 8 10 12 12 11 10 8 6 6 7 7 8 8 8 7 7 6 6 6 7 8 9 11 14 18 18 14 8 6 6 6 6 5 5 5 7 7 7 6 7 8 9 10 9 8 7 7 7 8 8 6 6 8 7 6 7 6 5 5 8 12 5 -1 6 19 23 20 10 2 -4 -4 3 10 14 12 5 -5 -8 0 16 25 21 12 6 6 10 13 12 8 7 6 8 11 13 11 11 9 6 6 2 4 7 10 6 4 6 5 7 12 12 7 5 3 2 6 7 11 11 7 9 7 5 8 11 14 16 15 6 -1 1 3 3 3 6 10 11 7 6 10 12 9 11 15 12 6 -0 10 10 -1 -4 -2 2 2 8 16 13 8 8 9 4 4 9 13 12 11 10 11 11 7 3 4 5 8 11 12 10 8 7 8 8 8 7 6 6 6 7 6 6 6 7 7 7 7 11 17 16 7 9 12 7 3 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 6 6 7 7 7 7 7 6 5 6 6 6 6 6 6 5 5 4 5 5 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 5 7 8 13 20 22 15 6 2 2 4 7 8 5 6 7 7 7 6 5 5 7 8 8 9 7 5 5 6 6 6 6 6 7 6 6 7 8 8 9 8 6 4 4 8 9 7 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 8 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 6 7 6 7 6 6 6 6 7 7 8 9 10 9 7 5 5 4 3 4 5 6 7 7 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 6 7 7 7 8 8 8 9 10 11 11 10 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 8 1 8 16 20 20 16 9 10 13 16 15 16 22 17 9 7 7 8 8 8 8 12 20 23 24 17 9 1 6 11 16 19 19 18 15 13 12 11 10 10 10 12 15 17 16 16 16 15 15 16 18 19 19 18 16 16 17 15 11 8 6 7 9 9 10 12 11 11 11 12 14 16 14 11 10 11 12 13 14 14 14 15 16 17 16 13 11 10 11 10 11 11 11 12 12 12 13 12 12 11 10 10 9 9 8 9 12 14 12 12 13 14 15 14 13 12 11 10 10 9 11 12 12 12 12 11 10 11 12 13 13 12 11 10 10 11 11 11 11 11 10 11 10 10 9 9 11 11 11 10 9 10 12 13 14 14 13 13 13 12 12 11 11 12 11 11 11 11 11 11 12 12 12 13 12 12 11 10 10 11 13 16 16 14 12 11 11 11 11 11 10 10 11 12 12 11 11 10 10 12 12 12 11 12 12 13 13 13 12 11 11 11 10 10 10 12 13 14 14 13 11 10 11 12 13 13 12 11 12 12 12 12 13 12 12 12 12 11 11 10 9 9 10 13 14 14 12 12 12 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 11 12 11 11 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 11 10 8 8 8 5 5 7 7 8 8 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 14 14 14 15 15 15 15 14 13 13 12 12 12 13 12 12 12 12 11 12 12 12 11 12 11 12 12 12 12 13 14 13 13 14 14 14 13 13 15 15 13 12 9 6 6 8 10 11 11 12 12 13 13 13 14 14 15 16 17 16 15 17 21 20 17 14 13 12 11 10 11 11 11 11 14 17 20 21 19 16 15 15 15 14 13 12 12 11 11 12 12 11 12 12 12 13 12 12 12 12 12 13 13 13 13 12 12 13 14 14 14 14 14 13 13 14 15 18 18 18 15 14 14 12 12 12 14 14 14 13 11 10 10 10 11 11 11 12 13 13 13 12 13 13 13 13 12 12 13 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -4 1 8 12 15 14 13 9 10 13 20 14 3 6 10 18 20 17 10 2 4 14 20 23 22 18 16 14 13 11 10 12 12 13 14 16 17 18 18 14 12 13 14 15 15 15 15 15 16 16 13 11 8 6 7 10 11 11 11 11 10 10 11 14 20 20 13 10 10 11 14 16 16 16 14 14 17 17 15 12 11 10 10 9 9 10 10 11 12 12 13 14 13 11 10 10 9 8 8 10 11 11 11 11 12 13 14 15 15 12 10 11 12 12 13 13 12 11 11 10 11 11 12 12 11 10 10 10 11 11 11 11 10 10 10 10 10 11 12 13 14 13 12 11 11 11 12 13 12 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 10 8 7 9 14 17 17 16 13 11 10 11 11 10 11 11 12 12 12 12 12 11 11 11 11 10 11 12 12 12 12 12 12 12 12 11 11 9 10 12 14 14 13 12 10 9 10 12 14 14 13 12 11 10 12 14 13 12 12 13 13 13 12 11 10 9 11 14 14 15 15 14 12 11 12 12 12 11 12 12 12 12 12 12 12 12 12 11 12 12 12 13 13 12 11 12 11 11 11 11 12 12 12 11 11 11 11 11 11 12 11 11 11 12 12 12 11 11 10 7 6 9 11 10 10 9 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 15 15 15 14 14 13 13 13 12 11 12 12 12 13 12 12 12 12 12 12 11 11 11 12 13 14 14 14 14 14 14 15 16 18 17 16 12 8 5 5 6 8 10 12 12 13 13 13 13 14 14 15 16 16 16 16 18 18 20 20 19 15 13 12 12 11 11 11 11 11 11 12 13 14 14 14 13 13 13 13 13 13 14 14 12 12 12 12 12 12 12 13 13 14 12 11 11 12 13 14 14 13 13 13 13 14 14 14 14 13 13 14 15 18 19 17 15 14 12 13 14 13 14 14 13 11 10 10 11 11 12 11 11 12 12 12 12 13 13 13 13 12 11 11 11 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 16 15 17 20 10 4 6 10 9 6 1 -0 1 12 18 22 19 15 11 10 12 12 11 12 14 15 15 15 16 17 18 15 11 9 10 10 11 12 11 10 10 10 10 9 8 8 8 9 12 13 12 12 10 10 10 10 15 23 20 12 10 9 10 11 12 13 12 10 10 13 15 15 13 10 9 10 9 9 9 10 11 11 13 14 15 14 13 11 10 10 10 10 10 10 10 11 12 12 12 13 14 14 13 12 12 13 14 13 12 12 11 11 11 10 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 12 13 13 14 14 13 12 11 10 10 11 12 12 11 11 12 13 13 13 13 12 11 11 11 11 11 10 10 11 11 11 12 12 11 9 7 7 10 13 15 17 17 15 13 12 11 11 10 10 11 12 12 12 13 12 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 13 13 12 11 10 9 11 13 15 14 13 12 10 11 13 13 12 12 12 13 15 16 14 11 9 9 9 11 13 15 15 13 12 12 11 12 12 12 12 12 12 12 12 13 13 12 11 12 12 12 13 13 13 12 12 11 12 12 11 12 12 12 12 11 12 12 12 12 12 11 11 12 12 12 12 10 9 9 9 9 10 13 13 13 13 13 13 11 9 8 9 9 9 10 11 11 10 11 11 11 12 12 12 11 11 12 12 13 14 13 14 14 14 14 13 13 12 12 12 11 11 12 12 12 13 12 12 12 12 12 11 11 11 11 13 13 14 15 15 15 14 16 17 19 20 19 17 12 9 8 10 12 13 13 14 13 14 14 14 14 15 16 16 15 16 17 18 18 19 19 17 15 12 12 12 12 12 11 11 12 11 11 12 12 11 12 13 13 13 12 13 13 13 13 13 12 12 13 12 13 13 13 13 14 13 12 11 12 14 14 14 13 12 12 12 13 13 13 13 13 12 13 15 17 18 18 16 13 12 13 14 14 14 15 15 14 11 10 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 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 6 7 7 9 15 20 19 15 9 6 6 8 10 12 12 14 15 15 15 15 15 15 14 13 12 9 7 6 7 9 9 7 6 7 7 7 7 8 9 12 15 15 13 12 10 8 8 11 18 23 17 11 10 9 8 8 8 11 12 9 8 10 13 15 14 10 8 9 10 10 11 11 12 12 12 14 14 14 12 11 11 11 11 11 12 11 11 12 11 11 11 12 12 12 14 14 13 14 13 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 13 13 12 11 10 10 12 12 12 12 11 11 12 12 13 12 12 12 11 11 11 10 10 11 11 11 11 11 12 12 12 10 8 7 8 11 14 19 20 15 13 12 12 11 11 11 11 12 13 13 13 12 12 12 11 11 12 11 10 9 10 12 13 12 12 13 13 13 13 13 12 11 11 11 10 10 10 11 13 14 13 12 11 12 13 12 12 12 12 12 13 14 14 12 10 8 7 9 10 12 13 13 13 12 11 12 13 12 13 14 13 13 12 12 13 13 13 12 12 12 12 12 12 13 13 12 11 11 11 12 12 12 13 13 12 13 13 13 13 13 12 12 12 11 12 11 10 10 10 11 13 15 15 14 15 15 15 13 12 11 10 9 10 10 10 11 11 10 11 12 12 13 12 12 12 12 13 13 13 13 12 12 13 13 13 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 11 12 13 13 14 14 15 15 16 17 18 19 17 16 14 12 10 11 13 14 14 13 14 14 15 15 14 14 15 16 16 17 17 17 17 17 17 17 15 13 13 12 12 12 12 12 11 11 11 11 12 11 11 12 13 13 12 13 12 12 13 13 12 12 13 13 13 13 14 14 14 14 12 11 12 14 15 15 14 13 12 12 13 13 13 13 13 12 12 13 15 17 18 17 15 15 14 13 12 13 14 14 15 13 12 12 12 12 12 12 12 12 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 9 9 10 11 12 13 13 15 15 15 15 15 14 12 12 13 13 12 9 8 9 10 9 11 13 12 9 8 10 13 17 18 17 16 14 12 10 10 13 19 20 14 11 9 9 8 7 8 10 11 10 9 9 12 14 14 14 11 9 10 13 15 15 14 13 13 13 13 12 12 11 11 11 12 13 13 13 13 11 11 10 10 11 11 13 16 14 12 11 10 10 9 10 11 11 10 11 11 10 9 9 10 11 12 11 11 11 11 11 12 11 11 10 10 10 10 12 13 13 12 11 11 12 12 12 12 13 12 11 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 11 12 12 13 13 11 9 7 6 7 17 22 19 16 13 12 12 11 11 11 12 12 12 13 13 13 13 12 12 12 12 11 8 7 10 12 12 11 12 13 14 14 14 13 11 9 9 11 11 11 11 12 12 11 10 10 11 11 12 13 12 12 11 12 13 13 12 11 10 9 8 8 9 11 12 12 12 10 12 13 13 14 14 14 14 13 13 14 15 15 14 12 11 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 16 16 15 15 15 15 14 12 11 13 14 14 13 12 12 13 14 14 14 14 14 14 14 13 13 12 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 12 11 11 12 12 13 12 13 13 13 13 13 12 11 11 12 11 12 11 12 12 13 13 13 13 13 13 14 13 13 13 16 17 16 14 12 12 11 11 11 12 13 14 14 13 13 14 14 15 15 14 15 15 16 16 16 15 15 16 17 17 16 15 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 14 15 14 14 14 14 14 13 13 13 12 13 14 15 14 13 13 13 13 13 12 13 13 13 14 14 13 15 16 15 14 14 13 11 10 11 12 13 13 11 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 14 25 29 31 31 29 30 32 30 28 26 23 19 16 16 18 22 26 29 29 26 22 19 20 18 14 10 9 8 8 7 6 5 4 4 5 5 5 6 6 6 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 2 3 20 34 31 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 30 44 60 78 93 101 101 97 91 84 76 64 40 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 10 20 16 15 23 29 32 38 46 58 74 85 89 88 86 85 90 103 99 81 75 101 134 147 146 144 147 153 159 156 149 146 144 151 150 143 142 143 136 134 132 127 120 113 110 114 128 148 162 168 169 166 154 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 8 15 22 25 24 20 22 27 28 28 24 21 18 15 14 16 18 22 24 24 21 19 18 17 15 12 8 7 7 8 8 8 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 5 6 6 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 20 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 25 39 50 64 81 94 96 95 94 89 77 60 36 11 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 2 8 5 2 2 7 16 23 36 52 67 81 93 97 97 100 108 121 118 104 102 117 133 143 146 145 141 142 144 144 143 143 144 148 141 136 137 133 130 129 128 125 119 116 116 124 137 148 155 158 157 153 147 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 5 9 14 17 16 14 15 20 21 20 17 15 14 13 13 13 14 16 18 20 20 20 19 17 15 14 12 10 8 8 9 10 9 8 7 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 5 5 5 5 5 3 2 2 4 5 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 23 32 41 49 60 74 83 84 87 92 88 76 59 35 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 2 1 0 1 6 21 34 42 54 62 76 92 102 105 104 108 117 123 120 116 118 129 136 142 141 137 138 137 135 131 129 137 138 133 132 132 129 130 131 130 127 122 118 118 127 140 146 143 139 134 128 128 141 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 4 6 8 10 10 10 11 14 15 14 14 13 13 13 13 11 11 12 14 16 18 19 20 20 18 17 16 14 12 10 10 10 11 11 10 9 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 1 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 3 2 1 1 2 4 5 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 24 32 33 34 38 42 50 58 64 68 77 86 86 78 65 49 30 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 3 14 38 63 75 69 65 62 67 83 100 107 106 101 103 115 122 120 118 124 134 138 135 134 135 136 133 126 123 127 129 131 130 131 132 135 138 139 138 134 127 122 123 131 136 133 127 121 113 112 128 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 4 6 8 8 8 10 12 13 13 14 14 15 15 14 12 10 10 10 12 14 16 19 21 19 17 16 15 14 14 13 12 12 11 9 8 8 6 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 2 2 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 3 1 0 0 0 1 1 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 6 14 26 36 40 39 35 29 28 33 39 43 51 66 76 79 77 70 57 45 25 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 2 4 5 14 46 73 89 96 82 69 57 64 72 94 107 110 102 94 100 109 111 114 124 133 134 133 132 132 133 131 124 117 114 114 123 132 135 138 142 145 144 145 147 144 138 131 128 128 127 126 122 113 107 118 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 7 7 8 8 8 8 6 8 10 11 12 12 13 14 15 15 14 12 10 10 11 14 16 18 20 20 17 15 15 16 16 15 14 12 11 8 7 9 8 5 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 2 2 3 3 3 3 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 33 41 46 47 39 22 8 13 17 24 38 54 63 67 68 66 62 51 26 15 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 3 9 14 22 28 56 82 90 88 78 67 54 50 60 80 101 110 107 99 94 93 96 105 122 132 131 128 129 131 132 131 126 117 107 100 103 116 127 134 141 147 150 151 153 156 155 145 133 128 126 127 126 119 110 118 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 9 9 10 12 10 8 6 5 5 7 9 10 11 10 11 13 14 14 13 11 12 15 16 16 16 18 18 17 16 16 16 17 16 14 11 8 8 8 9 8 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 2 2 3 3 2 3 2 2 2 2 2 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 30 38 44 50 45 22 2 0 2 7 24 38 48 53 56 58 58 55 42 29 16 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 20 27 40 49 73 85 81 71 64 61 53 44 47 64 89 107 109 103 96 90 90 101 119 130 128 124 125 129 131 131 129 123 112 98 90 90 100 113 124 136 148 156 159 163 165 153 138 130 128 129 129 123 117 122 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 3 6 10 12 10 7 6 5 4 5 6 7 7 7 7 8 10 12 11 11 12 14 14 14 13 13 15 16 17 16 16 16 15 12 8 4 3 5 6 5 4 3 3 3 3 3 3 2 2 1 2 1 0 1 1 1 0 0 0 0 0 1 2 3 3 3 3 2 2 2 2 2 2 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 24 32 42 42 22 4 0 0 0 8 20 33 40 43 46 50 51 49 43 34 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 27 34 46 58 70 74 68 56 50 49 48 44 43 53 75 98 106 103 100 96 95 103 119 129 127 123 123 126 129 130 129 127 119 105 91 82 82 90 100 112 128 146 157 165 170 163 146 134 131 132 132 126 119 122 141 156 nan nan nan nan nan nan nan nan 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 2 6 9 9 8 8 8 6 4 3 4 4 4 4 4 6 8 10 11 12 14 15 14 12 9 10 11 12 12 13 13 12 9 6 2 2 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 1 2 2 2 3 3 2 2 2 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 31 18 4 0 0 0 0 7 17 26 31 35 38 40 42 40 35 23 12 5 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 22 30 40 51 61 63 56 46 39 38 41 44 45 48 62 85 103 105 102 101 106 111 121 130 128 122 120 122 123 123 123 124 122 114 102 93 89 88 91 99 111 126 141 154 168 174 161 143 136 136 134 128 120 120 134 148 nan nan nan nan nan nan nan nan 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 2 5 6 8 10 9 8 4 2 1 1 1 2 2 3 5 7 9 11 14 15 14 12 7 4 4 4 4 6 6 7 8 7 6 3 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 17 10 2 0 0 0 0 1 5 11 18 24 27 28 28 28 25 20 14 7 1 0 0 0 0 1 2 3 4 7 9 6 2 0 0 1 0 0 1 1 2 3 2 1 0 2 3 6 10 16 24 36 48 50 46 40 35 34 38 44 50 50 55 77 103 112 106 102 109 117 123 126 124 120 117 115 112 109 110 114 118 120 118 114 109 101 95 96 104 114 123 135 153 172 174 158 148 142 136 128 119 118 127 138 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 0 0 0 0 0 1 3 5 7 9 11 8 1 0 0 0 1 1 1 2 3 5 7 10 12 12 10 7 2 1 0 0 1 3 5 7 7 8 7 4 3 3 3 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 1 1 1 0 0 1 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 2 4 7 11 12 15 16 15 14 11 6 0 0 0 0 0 0 2 6 15 24 28 19 11 6 5 6 4 4 5 4 5 5 5 4 5 6 5 5 5 6 11 20 29 36 38 39 38 38 39 44 54 57 57 73 105 127 125 112 108 111 117 119 119 117 115 110 103 99 100 103 109 117 126 133 131 121 110 104 104 107 112 117 130 154 173 168 161 154 142 129 118 117 124 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 1 1 3 8 14 11 2 0 0 0 0 2 2 0 0 0 0 0 3 6 7 6 3 1 2 2 2 3 4 5 5 6 7 6 4 3 3 3 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 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 6 5 6 4 1 0 0 0 0 0 0 0 3 15 30 36 34 24 17 15 15 15 13 9 6 4 4 5 4 5 5 6 6 6 6 6 9 16 24 30 37 43 44 44 46 56 66 67 72 97 132 148 142 127 110 104 108 112 114 114 111 104 100 100 100 102 107 116 128 137 134 125 118 115 109 106 102 104 130 163 169 168 164 157 146 133 128 132 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan 0 0 0 1 1 0 0 0 0 2 7 7 3 0 0 0 1 4 5 2 0 0 0 0 0 0 2 4 4 3 4 5 5 6 6 4 4 3 3 5 6 6 4 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 14 16 16 15 17 20 21 17 9 2 0 0 0 0 0 1 2 3 4 5 6 6 11 17 23 29 34 39 44 54 70 85 93 96 109 132 154 168 162 135 105 99 108 115 119 121 124 124 120 110 99 94 96 108 115 116 120 130 141 140 127 112 112 134 160 173 183 195 201 198 191 189 179 166 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 1 1 1 0 0 0 0 0 1 3 2 0 0 0 0 5 5 2 0 0 0 0 0 0 0 1 2 2 3 3 4 5 6 5 4 4 3 5 7 7 5 3 2 2 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 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 1 4 5 4 4 4 4 4 4 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 1 2 3 6 9 12 13 15 16 16 12 5 0 0 0 0 0 0 0 1 2 3 5 6 11 16 18 20 24 28 35 45 61 82 100 105 107 118 139 165 177 159 128 113 118 120 123 127 131 134 133 125 112 101 99 103 108 110 111 116 135 155 160 150 141 148 164 173 183 198 208 209 208 207 190 168 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 2 2 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 4 3 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 4 4 3 4 7 7 6 4 3 2 2 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 7 6 7 7 8 13 16 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 1 0 2 8 7 11 11 12 11 8 1 0 1 0 0 0 0 0 1 2 3 5 14 20 18 17 18 22 28 38 52 71 93 105 109 115 130 156 177 167 143 134 134 132 129 130 132 135 135 133 126 116 109 108 111 112 110 108 120 150 178 184 177 175 172 168 168 179 200 210 212 208 188 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 5 6 6 6 4 3 2 2 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 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 8 7 7 8 14 24 26 15 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 1 5 2 0 0 2 1 2 5 9 9 8 4 4 8 5 1 0 2 4 4 3 1 5 15 22 23 20 20 22 27 36 50 66 83 99 106 111 124 146 168 164 148 144 145 143 137 136 135 133 132 131 128 124 121 117 116 116 115 111 110 135 178 195 190 184 173 162 153 155 174 198 212 208 189 173 nan nan nan nan nan 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 1 0 0 0 0 2 2 1 0 0 0 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 6 6 4 3 2 2 2 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 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 8 8 8 14 26 32 30 17 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 1 2 1 2 0 0 0 0 0 0 0 0 2 7 8 8 7 7 8 6 2 1 5 8 9 8 8 9 15 21 26 25 23 25 30 38 55 69 82 93 101 108 119 136 152 155 152 152 154 153 149 145 142 139 135 130 125 124 124 123 119 117 116 114 107 125 167 181 178 170 163 160 152 146 156 184 209 211 195 177 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 1 2 2 2 2 1 1 0 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 8 11 20 29 35 37 36 34 27 14 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 10 18 20 16 11 14 15 15 15 16 16 17 18 20 16 11 8 7 8 10 13 14 14 10 8 8 8 9 9 8 5 3 3 4 3 4 6 10 20 26 24 18 19 27 38 62 86 100 109 114 114 120 126 129 130 128 125 125 129 136 140 142 145 150 154 152 150 149 144 138 129 118 109 108 120 133 128 123 137 158 173 174 164 155 168 180 192 198 195 193 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 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 11 9 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 6 5 4 3 2 2 2 2 3 3 3 4 4 4 3 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 8 10 14 20 26 29 31 33 33 30 22 12 5 4 6 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 1 6 9 19 26 29 27 25 24 28 32 31 28 28 33 32 32 33 35 34 33 32 33 32 28 20 13 14 19 20 15 10 7 6 5 5 11 26 40 31 16 7 5 4 4 4 6 13 28 41 42 36 32 34 41 56 78 102 112 114 113 116 124 131 126 117 110 106 107 112 117 122 128 131 133 129 120 114 120 128 129 120 107 116 131 125 123 135 146 148 133 114 115 134 156 172 183 183 186 180 nan 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 2 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 7 7 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 5 5 4 3 2 2 2 3 4 5 6 6 6 5 4 3 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 1 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 5 7 8 8 8 9 11 14 17 17 18 22 24 24 20 12 7 5 7 10 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 1 1 1 0 4 8 15 25 35 42 42 36 33 32 27 24 28 36 39 41 40 40 38 37 36 36 33 28 22 17 19 27 30 13 8 7 6 4 4 6 11 30 40 32 17 8 6 5 4 4 7 16 33 45 45 40 36 36 44 62 86 101 106 106 106 117 127 128 124 119 116 114 113 114 117 122 129 137 136 119 111 114 127 141 136 119 124 133 131 126 126 127 121 112 107 114 125 137 157 175 169 152 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 1 0 1 4 7 7 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 4 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 4 3 3 2 2 4 6 7 7 7 7 7 6 6 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 4 4 3 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 3 6 8 8 8 8 8 9 10 10 10 11 12 13 17 15 12 10 6 6 9 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 4 4 3 4 4 5 6 9 16 25 38 46 47 44 40 35 30 29 33 38 41 43 43 41 39 40 40 37 31 24 22 25 30 32 18 11 9 9 8 6 4 5 13 25 31 26 18 12 8 6 5 5 8 16 32 45 45 40 37 41 53 71 91 101 102 102 110 121 127 126 122 120 119 118 116 116 118 129 143 146 124 112 111 118 139 154 147 138 140 140 131 117 108 100 94 100 114 126 133 149 172 175 150 122 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 7 6 5 4 6 9 11 12 11 10 8 6 4 3 2 1 0 0 1 0 0 0 0 0 0 1 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 1 2 1 2 2 3 4 4 4 3 3 4 6 6 7 7 7 7 7 9 10 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 6 5 2 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 8 6 6 6 7 7 7 9 11 12 13 14 14 12 9 6 7 9 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 7 8 8 7 7 12 19 33 50 59 60 54 43 34 31 32 36 39 42 43 43 41 41 43 42 38 32 32 32 34 35 31 24 20 22 22 18 12 7 5 8 15 21 22 18 14 7 6 5 5 8 17 36 44 43 39 40 47 62 81 96 103 106 112 117 118 119 118 119 119 120 119 117 115 126 146 149 127 110 108 106 112 125 139 146 148 148 140 123 109 98 89 92 110 122 128 143 171 186 174 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 20 17 15 14 12 10 9 10 10 10 10 11 11 10 8 6 5 3 4 4 4 2 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 5 6 6 6 6 7 7 9 12 14 15 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 6 2 1 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 1 2 4 5 6 5 3 3 4 5 5 5 6 9 11 11 12 11 11 9 6 5 6 8 10 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 6 6 7 7 8 8 8 7 9 13 20 33 51 64 66 60 47 35 31 34 38 40 42 44 43 42 41 43 43 42 40 40 38 37 39 41 40 41 43 41 38 31 23 14 8 7 9 12 10 13 8 7 5 5 6 11 26 38 44 42 40 44 54 70 84 98 111 121 121 114 111 112 114 116 118 120 118 114 123 142 148 126 110 109 105 95 90 100 125 139 141 139 132 121 112 100 96 107 115 119 135 163 186 191 183 180 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 25 25 26 25 21 17 13 10 9 9 9 11 14 14 13 12 11 10 11 11 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 5 5 6 6 6 6 6 7 7 10 14 16 14 8 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 4 1 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 2 4 4 5 5 6 6 8 7 6 6 6 5 5 4 5 8 11 11 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 6 7 7 7 7 10 16 22 32 43 51 54 50 40 28 24 30 35 38 39 41 41 42 41 41 42 42 42 42 40 38 38 40 43 48 54 56 54 48 43 36 28 17 9 6 4 8 8 7 4 4 6 10 19 31 41 43 42 42 48 60 71 84 106 125 129 119 110 108 109 111 114 118 119 116 122 136 141 129 114 111 111 100 85 79 106 118 118 125 130 132 128 118 111 112 116 119 133 158 183 197 198 197 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 24 26 28 30 29 25 20 14 10 8 8 10 13 14 15 16 17 18 18 17 14 11 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 1 0 0 0 0 0 0 0 1 2 2 4 5 5 5 5 5 5 5 5 6 6 8 13 16 16 10 6 5 5 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 5 4 4 3 3 3 4 4 4 4 5 8 11 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 4 4 5 7 13 20 25 30 31 32 33 33 27 19 18 19 23 26 26 28 34 38 38 38 40 40 40 41 42 40 37 39 46 52 57 60 60 57 52 50 45 36 22 13 15 20 17 9 3 1 4 10 16 24 36 41 40 40 43 55 61 67 88 106 115 115 109 104 101 102 104 111 117 119 122 130 135 128 117 113 114 111 105 109 120 117 111 114 122 131 135 131 122 114 116 123 136 159 181 194 197 197 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 31 26 26 30 34 30 25 20 16 10 8 9 10 12 13 16 20 25 26 24 18 16 14 11 10 7 4 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 3 3 3 3 4 7 12 17 15 11 10 10 10 8 6 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 4 5 6 5 3 2 1 0 0 0 1 2 4 4 4 4 6 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 23 27 28 23 20 19 23 22 18 16 16 17 17 15 15 18 26 34 37 39 40 39 42 47 47 46 51 55 54 54 55 57 57 56 57 55 47 33 22 21 26 26 15 4 0 2 8 13 18 28 37 37 37 40 50 57 62 71 82 88 90 92 92 91 91 92 97 108 116 121 125 127 122 116 115 116 116 120 133 142 137 126 119 120 126 133 136 130 118 110 115 133 161 178 184 184 184 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
48 40 32 30 34 38 34 26 21 18 16 12 11 12 15 13 13 18 23 25 24 21 20 18 16 15 13 10 7 4 2 2 5 6 6 4 2 0 0 1 1 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 0 0 0 0 2 2 3 3 3 2 1 1 1 2 4 11 14 12 11 12 13 13 13 11 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 2 2 0 0 0 0 0 0 1 1 1 2 2 2 4 5 4 2 0 0 0 0 0 0 0 1 1 2 2 2 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 2 8 21 25 24 18 14 16 19 23 26 23 18 16 15 13 12 12 19 30 38 40 39 37 41 48 50 49 55 58 57 56 55 53 51 52 55 59 57 48 34 24 22 24 18 5 0 0 2 5 12 20 28 34 36 37 44 54 58 62 67 70 70 72 74 78 82 82 85 95 108 116 120 120 115 110 112 118 122 126 137 152 157 151 141 133 127 129 136 140 138 129 124 138 166 177 174 171 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
56 50 43 40 43 47 42 30 20 19 21 19 17 20 22 17 12 11 13 16 16 17 19 20 20 19 17 15 13 10 6 5 6 9 11 13 13 10 6 5 5 4 2 2 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 1 0 0 0 2 8 11 11 11 12 14 13 12 10 8 6 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 1 1 2 2 2 2 2 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 15 14 9 6 8 14 20 23 23 20 16 13 13 14 18 29 39 47 46 37 34 36 42 43 42 45 51 55 57 57 53 46 42 46 54 64 68 59 37 22 21 18 3 0 0 0 0 4 11 17 28 34 37 42 50 54 57 60 62 62 61 62 68 75 77 78 84 98 110 116 116 108 98 101 113 124 129 132 138 146 148 147 151 133 120 127 138 150 155 150 154 170 176 172 167 169 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
63 61 56 54 56 58 54 37 21 19 23 24 23 24 25 20 12 9 9 10 11 12 15 17 20 20 20 20 18 16 11 6 5 7 10 14 16 14 11 10 10 9 8 6 6 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 1 2 2 2 2 1 0 0 0 2 7 11 12 12 14 14 12 10 11 9 6 4 4 4 3 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 1 2 1 1 0 0 0 1 2 2 2 2 2 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 0 0 0 0 4 8 12 14 15 12 10 12 15 22 36 48 55 50 36 29 26 29 31 30 34 34 38 44 49 51 47 39 34 40 54 71 78 64 41 25 20 7 3 0 0 0 0 4 10 19 29 37 45 50 53 54 55 56 57 54 53 58 70 76 76 75 89 104 112 113 104 91 89 101 116 126 126 113 99 102 128 162 145 115 111 119 132 144 150 156 165 171 172 169 171 175 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
64 64 62 61 61 59 56 45 24 19 24 27 26 25 25 22 15 10 9 8 8 7 8 10 14 17 18 20 21 20 17 10 5 4 8 12 14 14 12 11 12 12 12 11 11 11 12 14 14 12 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 1 1 0 0 0 0 3 8 10 11 12 13 12 11 10 11 9 5 4 4 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 2 2 2 2 2 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 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 5 5 6 9 14 25 34 44 46 39 28 20 16 14 14 16 16 18 25 35 44 49 47 38 31 34 47 67 80 70 47 27 17 11 3 0 0 0 1 2 8 18 30 43 54 53 51 51 52 53 49 48 53 65 74 77 76 82 97 108 111 105 94 88 94 106 117 128 115 85 85 119 151 150 125 104 97 103 117 131 142 155 167 173 173 174 175 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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16 16 16 17 15 9 10 11 13 14 15 16 17 19 21 22 22 21 19 17 15 15 16 17 19 22 23 23 26 30 35 40 42 39 38 36 33 31 28 27 26 22 17 13 12 12 14 19 26 33 34 30 26 27 32 42 56 62 60 54 51 51 49 40 33 37 53 76 92 93 90 91 96 100 96 79 63 52 52 67 92 108 104 86 74 60 46 34 22 10 3 0 0 2 8 16 20 23 20 11 5 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 3 1 0 0 0 1 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 4 0 0 0 1 4 6 8 18 33 39 34 28 24 21 17 14 8 4 4 5 7 6 1 0 0 4 23 37 40 36 32 29 27 28 28 28 29 30 30 38 48 55 60 60 56 51 42 40 36 34 35 34 30 28 31 31 30 30 30 31 32 39 47 54 64 74 82 87 89 88 81 76 70 67 63 59 57 55 57 64 70 76 81 88 94 97 96 94 87 76 65 57 50 44 40 36 34 35 39 46 nan nan nan nan nan nan nan nan nan nan nan
22 22 22 22 19 13 10 9 9 10 10 10 11 12 13 15 18 21 22 22 20 19 18 18 20 24 25 24 23 23 28 36 42 41 39 38 36 31 28 27 27 24 20 16 14 12 12 13 16 20 25 29 30 36 42 50 62 61 51 41 36 37 39 38 38 43 58 75 88 90 88 90 94 99 103 98 81 64 55 61 78 95 98 90 77 64 52 41 27 15 5 1 1 5 12 18 24 28 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 0 1 1 2 3 5 6 7 6 3 1 0 0 0 2 3 4 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 9 1 0 0 0 3 6 14 31 44 40 29 20 14 12 11 8 5 4 4 7 13 16 7 1 0 6 22 34 38 36 32 29 28 29 30 28 27 27 28 32 40 49 55 57 56 56 55 52 48 46 45 42 39 37 36 35 33 31 29 28 27 29 34 41 52 60 67 74 80 84 85 86 84 78 70 62 57 54 51 53 57 60 62 64 73 84 94 100 108 109 101 94 85 73 61 48 39 34 35 40 nan nan nan nan nan nan nan nan nan nan nan
24 25 26 28 28 21 14 12 10 10 10 10 10 9 8 8 11 15 18 23 24 24 23 21 21 24 26 26 25 24 26 30 34 34 33 36 40 32 27 27 28 27 23 20 16 15 14 12 12 14 19 27 33 38 43 50 60 57 42 29 23 22 27 35 42 50 61 73 80 82 81 84 90 94 97 97 88 73 64 65 75 89 95 93 88 78 62 48 34 22 11 5 5 9 15 22 28 27 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 2 1 1 1 2 3 4 6 8 8 8 7 4 1 0 0 0 2 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 19 16 8 4 2 1 2 6 16 31 38 29 21 16 10 8 7 6 5 4 4 10 26 30 19 6 2 10 24 34 37 38 36 33 30 28 28 28 28 29 30 33 36 44 53 54 55 58 59 58 55 52 49 46 44 44 43 42 41 38 34 30 27 26 26 28 33 44 54 61 69 75 79 81 82 79 71 65 60 54 50 48 50 52 53 53 56 63 72 80 87 96 101 100 98 91 80 63 46 34 26 26 29 nan nan nan nan nan nan nan nan nan nan
23 22 24 29 30 27 22 17 14 12 12 12 12 11 10 9 9 10 10 14 18 22 24 23 22 24 26 26 26 26 27 30 32 30 27 34 42 37 29 28 29 29 27 24 20 17 16 15 13 13 17 23 28 30 33 42 54 57 46 29 19 19 25 34 45 54 62 72 77 76 74 76 81 88 91 89 85 81 79 80 76 84 91 97 99 94 80 61 46 33 23 17 13 14 19 29 33 24 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 1 1 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 2 3 3 3 2 2 1 1 2 4 6 8 10 10 8 7 5 2 1 0 0 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 19 21 19 13 9 8 8 10 15 20 17 15 12 10 8 7 7 7 6 5 4 9 33 38 29 18 13 18 28 32 34 36 37 36 32 29 27 26 27 30 32 35 37 39 47 47 50 56 60 60 56 52 49 45 44 45 46 46 46 45 42 37 32 28 26 25 25 30 38 47 57 66 71 72 71 69 64 59 55 50 45 43 44 43 42 45 48 51 56 61 66 71 76 80 82 82 80 70 55 38 27 22 22 nan nan nan nan nan nan nan nan nan nan
18 17 19 23 25 24 21 20 19 17 14 14 14 13 13 12 12 10 9 8 9 12 17 22 24 24 25 26 27 27 27 30 32 30 28 31 39 41 35 32 31 31 30 27 22 19 18 16 14 14 18 20 21 20 21 31 46 55 52 38 25 22 26 33 43 53 62 71 74 70 65 64 66 71 78 82 82 85 89 92 86 82 91 102 104 103 101 89 70 52 39 32 28 30 36 44 36 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 2 2 3 2 2 2 1 1 2 4 7 10 12 11 9 7 6 4 2 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 17 21 23 22 19 18 21 24 17 14 9 7 6 6 6 7 10 12 12 8 5 12 27 33 28 23 23 28 31 31 30 30 32 33 33 30 27 26 26 28 30 33 34 35 37 38 41 47 52 54 52 47 42 37 38 37 40 43 45 46 46 44 41 37 32 28 25 23 24 32 44 56 63 66 64 60 55 50 46 44 45 45 43 40 38 36 37 40 42 45 51 57 61 64 65 67 68 66 57 45 35 26 23 nan nan nan nan nan nan nan nan nan nan
16 14 14 15 15 17 17 16 16 16 15 15 15 15 14 15 14 13 13 12 10 8 9 14 19 22 24 25 26 27 27 28 31 32 32 30 34 37 36 35 34 33 32 29 24 21 19 17 16 16 20 20 18 16 15 23 35 48 53 47 36 28 24 23 30 39 51 62 67 62 55 54 53 58 69 76 81 87 92 91 85 86 95 99 94 94 108 118 101 72 48 41 43 52 60 59 29 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 2 3 3 3 3 3 1 0 0 0 0 1 2 2 1 1 2 3 3 2 2 1 0 0 1 2 2 2 1 1 1 1 1 3 8 10 12 12 10 8 7 5 4 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 7 13 17 20 21 22 22 26 25 17 13 9 7 5 3 3 6 13 19 19 13 9 11 17 18 14 12 17 27 32 30 26 24 25 26 27 27 26 25 25 26 26 27 28 28 29 30 32 34 37 37 40 37 34 32 33 32 33 34 36 37 38 41 42 40 36 31 26 23 21 22 28 38 46 52 57 55 49 45 42 42 43 43 42 40 38 36 34 33 33 33 35 38 46 49 50 51 53 54 51 47 38 30 25 nan nan nan nan nan nan nan nan nan nan
16 13 13 13 14 14 15 16 16 16 16 15 15 15 16 17 16 15 14 13 13 12 10 9 11 16 21 24 26 27 27 27 29 31 33 32 30 31 33 35 34 34 32 29 26 23 21 19 18 19 20 21 20 17 15 19 28 41 50 49 41 31 21 18 20 24 33 45 54 53 47 42 40 48 61 74 81 85 84 81 83 88 88 80 71 70 91 115 103 74 53 49 56 65 66 54 21 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 3 3 2 1 0 0 1 1 2 2 3 3 3 2 2 2 1 0 0 0 0 1 3 3 3 3 4 4 4 3 3 2 1 1 1 2 2 1 1 1 1 1 1 4 8 10 12 11 9 8 7 6 5 4 3 3 3 3 3 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 13 16 18 20 20 20 18 15 13 11 9 7 5 4 6 13 21 21 18 13 9 9 7 3 2 5 16 24 25 24 23 22 22 21 21 22 22 22 22 22 21 21 20 21 21 22 24 27 27 27 28 28 28 28 29 29 29 29 29 29 28 29 31 29 25 21 17 15 16 19 25 32 38 42 45 45 44 43 42 41 40 38 36 34 34 33 31 30 29 29 30 32 34 37 38 38 40 42 40 34 28 24 23 nan nan nan nan nan nan nan nan nan
14 13 12 12 12 13 14 14 14 15 15 15 15 15 16 18 18 16 14 14 13 14 13 12 10 12 15 20 25 28 28 27 27 29 32 33 31 28 29 32 34 34 32 29 27 25 24 23 22 21 21 23 23 21 18 22 32 40 46 46 41 32 22 20 22 25 31 39 42 42 36 30 29 40 57 72 79 78 76 76 78 76 69 60 54 53 71 88 75 65 63 62 61 62 55 39 18 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 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 1 2 4 4 4 3 2 1 1 2 2 3 3 3 3 2 1 1 1 0 0 0 0 0 2 3 4 4 4 4 4 4 4 4 3 2 1 1 2 2 2 1 1 1 1 2 5 8 11 11 10 8 7 7 6 5 4 3 3 3 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 17 17 16 14 13 12 12 12 12 10 10 10 16 20 21 19 13 9 7 5 1 0 0 4 10 15 19 22 23 21 20 19 20 19 18 17 15 15 15 14 14 14 14 17 18 20 20 20 20 20 20 21 21 22 22 22 22 21 20 18 16 14 13 10 9 9 11 16 23 29 35 40 43 44 44 43 42 40 37 33 31 29 29 28 27 26 26 26 27 28 29 30 32 32 33 32 29 25 21 20 nan nan nan nan nan nan nan nan nan
12 11 10 10 10 11 12 13 13 14 14 15 15 14 15 16 17 16 15 14 14 14 14 13 13 12 12 13 18 24 27 25 24 25 29 33 34 32 30 31 34 33 31 29 28 27 26 25 24 22 23 26 27 25 23 28 37 40 44 45 44 39 34 33 36 41 46 48 43 37 31 26 28 39 56 71 80 78 76 76 70 60 51 44 40 40 46 54 59 72 81 74 61 51 42 31 18 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 2 2 2 2 3 4 4 4 3 1 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 3 2 2 3 3 2 1 1 1 1 3 6 9 11 11 9 7 6 6 6 4 3 2 2 2 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 14 15 15 13 12 11 10 10 11 12 14 14 16 21 22 20 16 11 8 7 4 1 1 0 1 3 7 13 20 22 20 18 16 16 15 13 10 8 7 7 6 8 8 7 7 8 10 11 10 10 8 5 8 10 11 11 12 14 14 11 8 7 5 5 4 4 5 5 8 13 18 25 32 37 40 42 42 41 38 35 31 28 26 25 25 24 24 24 24 24 24 25 26 26 27 27 27 26 23 19 17 nan nan nan nan nan nan nan nan nan
10 10 10 10 10 10 11 12 12 13 14 14 14 14 14 15 15 15 14 14 14 14 14 13 13 13 12 11 12 16 20 22 20 21 25 30 34 36 34 33 34 32 31 30 28 27 27 26 22 20 23 28 30 28 25 29 35 38 42 48 52 53 52 51 53 58 61 63 56 44 38 37 42 52 66 81 88 84 76 67 58 48 39 34 33 38 48 63 80 96 95 74 50 37 35 30 17 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 3 2 1 1 2 3 4 4 3 2 1 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 4 4 3 2 3 4 4 2 1 0 1 2 5 8 11 11 10 9 7 6 6 5 3 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 12 12 11 9 8 8 6 6 10 13 15 17 18 19 18 14 8 7 6 5 4 4 3 1 2 5 10 16 18 14 10 8 8 8 6 5 5 4 3 4 3 3 3 2 0 1 2 1 2 1 0 0 1 2 2 3 4 4 0 0 1 0 1 0 0 1 2 3 4 9 12 20 26 30 33 34 34 30 26 22 19 18 19 19 20 22 24 24 24 25 25 25 24 23 24 24 23 21 17 14 nan nan nan nan nan nan nan nan nan
8 9 9 9 9 10 10 10 11 12 13 14 14 14 14 14 14 14 14 14 13 13 13 13 14 13 12 12 11 11 14 16 16 16 19 25 31 36 37 36 35 33 31 31 29 28 29 25 19 16 21 28 31 29 26 27 32 35 39 47 55 59 58 54 54 60 67 70 69 62 58 58 62 68 80 92 90 80 69 55 46 41 34 32 38 52 72 90 97 95 80 56 36 26 33 30 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 2 1 0 0 1 2 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 4 3 3 3 4 4 2 1 0 2 4 6 9 12 12 10 8 8 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 7 5 3 2 3 1 7 10 13 14 14 12 11 9 5 5 5 5 5 5 4 2 2 5 8 11 9 6 3 2 1 1 1 1 1 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 1 4 6 9 12 15 17 17 15 16 13 11 10 9 8 9 11 13 18 22 24 26 28 29 28 26 24 24 22 20 17 12 8 nan nan nan nan nan nan nan nan
9 9 9 9 9 9 9 9 9 10 11 12 13 14 13 13 13 13 14 13 13 12 12 12 12 13 13 12 12 11 11 12 13 13 15 20 26 32 36 37 37 35 33 32 31 28 29 24 15 12 17 24 28 28 25 26 29 31 35 42 51 57 57 47 44 48 54 58 62 66 70 73 76 79 86 94 82 71 57 43 38 37 38 42 52 68 83 90 83 68 50 38 29 22 38 33 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 3 3 3 3 4 3 1 1 1 3 5 8 10 12 12 9 7 7 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 1 2 2 1 0 0 0 0 4 6 9 10 10 9 6 3 1 2 2 2 3 4 4 2 2 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 4 2 3 3 3 2 1 2 2 2 3 7 11 15 20 24 28 29 29 28 26 24 22 17 12 7 nan nan nan nan nan nan nan nan
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