Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 5 4 3 3 3 3 2 3 3 3 3 4 4 4 4 3 3 2 3 3 3 4 3 4 4 4 4 4 4 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 4 4 4 5 5 6 6 7 7 6 6 5 5 5 5 5 5 4 3 4 5 6 7 9 8 8 7 6 4 5 5 5 5 5 4 4 5 7 7 6 5 5 6 3 -1 -1 16 14 11 6 -3 -1 11 14 3 -1 4 10 10 8 9 5 5 11 12 6 7 16 18 11 3 4 10 11 11 10 9 11 9 8 9 7 2 2 3 6 8 9 9 7 7 7 7 10 10 7 8 9 8 7 8 6 4 4 7 10 10 9 8 6 6 5 4 4 4 4 4 4 4 4 4 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 7 7 7 11 26 27 10 5 6 6 6 4 3 5 6 6 8 8 6 5 5 5 5 4 4 5 6 5 -2 -6 -0 2 3 4 5 5 4 4 5 5 6 5 5 5 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 5 5 5 5 5 5 4 5 6 8 8 7 7 7 7 8 10 14 17 12 6 6 8 5 -1 -6 -10 -6 -6 -2 1 1 -2 -3 0 2 2 1 -1 -5 -8 -7 -7 -9 -6 -0 6 8 10 11 13 15 18 24 27 26 21 15 12 12 10 10 10 11 14 20 23 21 19 22 23 18 11 11 11 10 9 7 6 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 4 5 5 5 4 4 3 2 3 3 3 3 3 2 3 3 3 3 3 3 4 3 3 2 2 2 2 3 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 3 3 4 5 5 4 3 3 3 4 4 5 5 4 4 4 4 5 4 4 4 3 3 3 3 2 2 2 3 3 4 3 3 3 2 3 3 4 3 3 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 4 6 7 8 8 7 7 6 5 5 5 5 5 5 4 4 6 9 8 5 4 6 9 6 4 8 15 13 11 7 1 -3 7 10 5 3 7 14 21 19 5 2 7 12 12 2 6 19 17 8 7 8 9 8 5 5 8 12 12 10 9 8 4 1 1 4 8 9 13 20 19 10 6 8 7 5 7 9 8 6 6 7 5 4 6 10 11 10 7 6 5 5 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 5 5 5 5 7 7 7 6 8 17 25 14 5 6 7 7 5 3 4 5 5 7 8 7 5 4 5 5 5 4 4 5 2 -9 -11 -1 1 0 1 4 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 5 6 9 10 9 8 8 9 10 11 14 18 19 16 12 11 8 8 8 8 3 1 1 3 3 4 4 2 3 4 3 1 1 1 -3 -3 -5 -4 -1 5 8 9 9 10 11 13 16 18 19 15 10 8 8 7 6 7 7 9 12 13 10 10 10 9 8 7 7 7 6 5 5 5 5 5 5 5 4 4 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 4 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 4 4 3 2 2 2 3 4 4 4 4 4 3 3 4 4 3 3 3 3 4 4 3 4 4 4 5 5 4 4 3 4 4 5 5 4 4 3 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 5 5 5 5 4 5 5 5 6 6 7 7 6 4 3 3 4 7 8 8 7 7 7 6 5 5 5 5 5 4 3 6 10 9 6 2 4 6 6 6 8 9 10 6 2 4 -5 -2 4 8 9 10 10 12 9 2 4 7 10 6 -4 5 16 10 5 10 12 11 10 9 9 11 13 11 8 6 7 5 0 2 4 7 8 12 18 16 7 3 3 3 5 7 7 6 3 3 6 8 7 9 12 12 9 6 5 5 4 4 3 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 4 4 4 4 4 4 4 5 5 5 6 7 7 7 8 13 17 12 5 6 8 8 7 5 4 4 5 5 5 7 5 4 5 5 5 4 4 3 3 -9 -17 -6 1 -2 -5 -0 4 4 3 3 4 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 3 3 3 3 3 4 4 4 3 3 3 4 4 4 5 5 4 4 4 4 4 6 9 10 10 9 9 11 11 11 14 17 19 18 16 12 8 9 10 11 12 9 6 6 4 4 4 3 3 4 5 5 6 6 4 2 2 4 6 7 10 10 10 11 11 10 9 8 9 9 7 7 6 5 5 5 5 5 7 7 6 5 5 5 6 7 7 7 6 5 4 4 5 5 4 4 4 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 nan nan 6 6 6 6 6 5 5 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 2 3 3 4 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 4 3 3 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 3 3 3 3 3 2 2 2 4 4 3 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 6 6 7 7 6 4 3 3 4 5 7 8 8 7 7 6 6 5 5 6 5 4 3 5 6 6 6 1 1 5 5 3 3 4 6 3 3 5 -4 -8 1 10 10 6 2 1 1 4 5 7 8 5 -2 4 9 6 4 8 12 13 13 11 9 15 13 8 5 4 4 4 4 6 5 4 4 5 2 -1 4 7 5 4 6 8 7 4 1 2 6 8 10 14 14 11 7 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 10 17 17 6 3 5 7 6 7 6 4 6 6 5 4 5 4 4 4 6 6 4 3 3 5 0 -13 -12 0 2 -5 -4 3 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 3 3 3 3 3 4 5 5 4 4 3 4 5 5 6 6 6 7 7 7 6 8 9 9 9 9 10 11 10 11 13 14 15 15 14 12 8 7 7 8 9 10 10 8 5 5 5 5 5 4 4 4 5 6 9 7 6 6 7 8 10 11 11 12 12 11 7 4 4 5 6 6 6 6 5 6 5 5 5 5 5 4 3 4 6 7 8 7 6 5 5 4 4 5 4 4 4 4 5 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 6 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 3 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 3 3 4 4 4 4 4 3 3 3 4 3 3 3 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 3 3 4 3 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 4 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 4 6 6 7 7 6 5 3 2 3 5 7 8 8 7 7 6 6 5 5 6 5 4 3 4 3 3 6 6 4 7 4 -0 3 3 2 1 7 11 5 -2 1 7 8 2 2 9 15 14 7 5 8 10 11 7 2 -1 1 2 7 11 12 8 6 7 6 5 6 6 2 4 8 8 3 -2 -3 -1 -3 -0 9 11 8 7 7 6 4 2 1 3 5 9 14 14 11 7 5 5 5 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 10 20 23 8 1 3 5 5 6 5 5 5 6 6 5 4 3 4 3 4 5 5 4 4 5 6 -3 -13 -7 8 6 -0 2 4 4 3 3 3 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 8 10 13 15 16 15 14 11 9 8 9 9 8 7 7 9 9 8 7 6 7 7 5 5 5 6 9 10 9 7 5 5 8 9 7 5 7 14 17 14 9 5 3 5 7 8 9 11 11 12 12 9 7 6 5 5 5 5 5 5 6 6 6 5 5 4 3 2 3 5 6 7 6 5 4 4 5 5 5 5 4 4 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 nan 5 6 5 5 5 5 5 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 3 3 4 4 5 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 3 4 4 3 2 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 7 7 6 5 3 2 2 5 7 8 8 8 7 6 5 5 5 6 6 5 3 2 2 4 9 9 6 8 4 -2 4 2 -2 2 10 13 12 6 2 5 7 4 4 8 13 10 4 4 8 9 12 6 2 -2 -3 -2 3 5 5 4 2 -1 -3 -0 5 9 6 4 6 4 3 5 3 -1 3 9 11 11 10 9 8 5 4 2 2 4 5 9 12 11 6 5 5 4 4 4 3 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 11 18 24 14 2 2 3 4 5 5 4 4 4 6 7 5 4 4 4 4 5 6 6 5 6 7 4 -6 -11 -2 7 6 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 2 2 2 3 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 7 8 9 10 12 16 20 25 28 28 23 15 9 9 9 6 2 -2 -3 -2 -4 -4 -2 -2 1 5 5 3 4 5 6 8 9 7 6 10 12 13 12 12 20 28 27 16 8 2 2 3 4 6 7 7 8 9 11 11 11 10 8 6 4 3 3 3 5 7 7 6 5 4 3 2 2 3 4 6 6 6 5 4 5 6 6 5 4 3 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 3 3 3 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 2 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 5 6 7 7 7 7 5 4 2 2 4 7 8 8 8 7 7 6 6 6 6 6 4 3 2 3 6 10 9 6 7 4 -2 -1 -2 2 9 10 8 8 7 4 6 7 6 5 5 5 2 2 6 5 1 4 2 4 5 -4 -2 -0 -2 1 5 2 3 -2 -3 0 7 10 2 1 5 11 16 8 2 7 11 10 10 10 7 4 4 3 2 2 4 6 10 11 7 5 5 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 3 4 4 5 4 4 4 4 4 5 4 4 4 5 5 5 6 7 10 16 26 19 6 3 2 3 4 5 4 4 4 4 6 6 6 5 4 4 5 6 6 5 5 5 5 2 -7 -12 -5 4 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 5 5 4 3 2 3 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 6 6 6 6 8 9 10 11 12 14 19 25 30 35 35 27 15 9 8 7 2 -3 -4 -6 -6 -6 -4 -3 -0 3 5 5 5 5 4 2 3 6 6 5 9 15 17 15 17 22 24 23 16 8 4 2 3 4 4 5 4 2 3 7 10 11 11 11 9 6 4 2 2 5 6 7 6 6 5 4 3 3 3 4 5 6 7 5 4 5 5 5 4 4 4 4 3 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 5 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 3 2 3 3 2 2 3 3 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 6 5 4 4 5 5 5 4 5 5 5 5 6 8 8 8 9 8 5 2 1 4 6 8 8 8 8 7 6 6 6 6 6 5 3 3 2 4 8 9 8 7 2 -2 -1 3 6 6 4 1 5 9 8 6 5 6 5 4 4 1 3 6 2 0 6 4 2 6 -0 -3 -3 -4 2 10 9 10 7 2 -3 1 7 7 3 3 9 12 8 10 8 5 5 8 7 4 2 1 1 1 3 6 10 13 10 6 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 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 8 13 27 28 14 7 4 4 4 4 4 3 3 3 4 6 6 5 4 4 4 5 5 5 4 3 3 3 1 -6 -9 -1 5 5 5 5 5 4 4 5 6 6 6 5 5 4 3 2 2 2 3 4 5 4 2 2 2 1 1 1 2 2 3 3 2 3 3 3 3 3 4 4 4 4 4 5 5 6 6 7 7 8 10 11 12 13 14 17 23 29 32 30 21 12 8 5 3 0 -0 1 -0 0 3 2 2 4 6 6 6 7 6 5 3 3 5 8 6 5 11 14 11 12 12 12 13 12 8 5 4 4 4 4 4 4 -1 -6 -4 1 7 10 11 11 9 7 4 2 3 6 7 7 6 5 4 3 3 3 4 5 6 7 6 5 4 4 4 4 4 4 4 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 2 2 3 3 3 3 4 4 3 3 4 4 4 3 3 4 4 3 3 4 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 7 10 11 11 12 10 7 4 1 3 6 8 8 8 8 8 7 6 6 6 5 5 5 3 2 3 5 9 11 8 5 4 6 9 8 5 4 2 5 8 10 9 6 5 4 2 5 1 -0 2 1 2 4 2 -0 4 5 1 -3 -4 4 14 13 10 13 7 1 -1 -0 1 4 6 8 6 8 11 9 9 11 8 3 1 2 1 1 4 7 10 15 14 8 4 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 8 19 33 30 19 13 9 7 6 5 4 4 3 3 4 5 5 4 3 4 4 5 4 3 3 3 3 4 1 -6 -3 4 5 6 6 5 5 5 6 7 7 7 6 6 5 4 3 2 2 3 4 4 4 4 3 2 0 -1 -1 0 2 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 5 5 6 7 9 10 10 10 10 11 13 16 20 23 20 15 11 7 1 -3 -0 4 4 4 4 4 5 5 5 5 6 7 7 8 7 6 6 9 14 14 10 8 7 7 7 7 8 8 7 7 6 4 4 4 4 5 7 4 -1 -5 -4 2 7 9 10 10 9 6 4 3 5 6 6 5 5 4 4 3 3 3 4 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 6 5 5 5 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 4 3 3 4 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 4 5 5 5 5 5 6 5 6 6 5 5 4 4 4 4 5 6 6 6 6 6 8 10 12 13 14 14 12 8 5 3 4 6 8 8 8 8 8 7 7 6 6 6 6 6 4 3 2 4 8 9 7 8 10 7 5 8 10 11 10 7 7 12 16 9 2 1 1 4 3 -1 -1 1 2 -2 -1 4 7 9 5 -3 -3 7 14 11 7 9 4 4 1 -2 4 11 6 2 -1 2 1 6 15 19 14 5 1 0 0 4 7 9 12 15 11 5 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 5 9 21 32 30 25 22 17 14 11 9 7 6 5 4 4 5 4 3 4 4 3 4 4 5 4 4 5 3 -2 -2 3 5 6 6 5 5 5 6 6 6 6 6 6 6 6 5 3 3 3 3 4 4 4 3 2 -0 -1 -1 1 2 3 4 5 5 5 5 6 6 6 4 3 2 2 3 4 4 4 6 8 8 8 8 8 8 8 9 10 12 13 13 12 11 8 4 0 2 5 5 6 6 5 4 4 5 5 6 7 8 10 11 11 11 14 18 21 19 9 5 5 6 7 7 7 7 6 5 5 4 3 4 5 9 13 14 12 7 3 4 6 6 7 7 6 5 4 5 5 6 5 5 5 4 3 3 2 3 5 7 8 7 5 5 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 8 8 7 5 4 4 5 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 2 3 3 3 4 4 5 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 3 2 2 3 3 3 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 4 4 5 5 6 7 7 6 6 7 10 11 12 13 15 15 12 9 6 4 5 7 8 8 8 8 8 8 8 8 8 7 8 7 6 4 3 4 6 7 5 6 7 4 2 9 14 13 8 4 9 19 21 8 -1 1 3 2 4 3 2 6 8 9 9 9 5 5 3 -4 -2 7 12 9 7 6 2 4 1 4 17 11 -1 -9 -8 -4 -3 4 7 15 12 6 2 0 1 5 7 8 11 12 7 3 3 3 3 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 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 5 6 15 22 24 25 25 24 21 18 16 15 14 11 8 6 5 5 5 5 6 6 7 8 8 7 7 6 3 1 3 5 5 5 5 5 5 5 5 5 5 5 7 9 10 10 8 4 3 2 3 3 2 2 2 1 0 2 4 4 4 5 5 7 8 8 10 11 12 10 7 4 2 1 3 4 5 8 9 8 7 6 6 6 6 5 5 7 8 9 9 9 9 9 8 6 5 6 6 5 5 4 5 7 7 6 8 12 16 17 15 14 14 13 14 13 8 4 5 6 7 7 7 6 6 6 5 4 3 3 4 8 14 17 15 13 7 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 2 3 4 6 7 7 5 5 4 4 4 4 4 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 7 8 7 6 5 5 5 5 5 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 4 4 4 3 2 3 3 3 3 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 3 3 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 2 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 10 10 10 12 14 13 11 8 6 5 6 8 9 9 8 8 8 9 10 9 9 9 8 7 7 6 4 3 3 6 5 1 -1 -1 5 10 11 9 4 1 9 23 19 6 1 5 6 1 4 7 9 12 16 25 25 12 1 -0 1 -1 1 3 6 5 4 4 5 6 4 12 17 3 -2 2 3 4 3 4 6 8 5 4 4 4 5 6 7 9 12 10 6 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 8 11 13 17 20 21 21 20 20 20 19 17 13 9 9 8 9 10 10 10 11 12 11 10 8 3 1 3 5 5 5 5 5 5 5 5 4 4 6 9 13 17 19 15 8 3 1 2 2 1 2 2 2 4 8 10 8 3 4 6 8 8 10 13 16 18 18 16 10 5 3 2 4 8 12 11 6 5 4 3 4 4 3 2 1 2 3 3 4 4 6 8 6 5 4 3 3 4 5 7 9 9 10 13 14 14 13 13 10 7 6 6 5 5 4 5 6 6 7 7 7 7 6 6 4 3 3 3 5 9 10 7 6 4 3 4 5 4 5 5 4 4 5 5 5 5 5 5 4 4 3 2 2 3 5 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 7 7 7 6 5 5 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 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 5 5 5 5 5 5 5 5 4 4 4 4 5 4 3 3 3 2 2 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 5 6 6 6 7 7 8 8 8 8 9 9 10 12 11 9 7 6 6 7 9 9 9 9 9 9 11 10 9 9 8 7 6 6 5 5 4 1 1 1 -1 -6 -0 10 11 0 2 7 7 8 15 12 5 6 7 6 2 2 8 15 16 15 19 20 13 7 3 4 9 8 1 2 3 1 -0 6 6 9 14 10 9 8 17 21 17 9 1 7 8 5 5 6 7 6 6 9 14 14 9 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 8 10 12 12 12 14 17 20 20 17 14 12 12 12 12 11 10 11 11 10 6 1 0 3 4 5 5 4 4 5 5 4 4 5 8 11 15 23 28 23 12 4 1 1 1 2 2 3 3 7 14 18 13 2 -2 4 8 8 10 12 15 19 22 22 19 11 5 3 5 11 16 11 3 1 3 1 -0 1 1 -1 -5 -6 -6 -6 -5 -3 2 5 4 4 3 3 4 6 7 8 8 10 12 12 8 5 5 6 4 4 4 4 5 4 4 5 5 6 7 7 6 6 7 7 5 3 3 4 4 5 5 5 4 3 3 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 2 2 3 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 5 6 7 7 6 5 5 5 5 6 6 6 4 4 4 3 3 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 1 2 2 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 7 7 7 7 8 8 8 9 11 9 7 6 6 7 8 8 8 9 9 9 10 11 9 7 7 6 5 5 5 5 5 4 2 -3 -3 -0 -6 2 12 13 -0 2 10 8 5 8 6 3 5 5 6 6 3 10 22 19 11 9 8 7 9 7 7 12 9 4 3 3 -0 -1 3 5 10 9 8 11 9 16 26 21 11 3 6 7 7 6 6 7 6 6 11 16 13 7 5 4 4 4 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 4 4 4 4 4 4 5 4 4 5 7 11 14 15 15 12 8 8 9 10 9 9 10 9 6 1 2 4 5 5 5 5 5 5 5 4 5 6 9 12 15 22 28 23 11 3 2 2 2 3 3 2 3 8 16 23 18 6 -1 1 6 7 8 8 10 14 20 25 25 18 9 5 7 14 20 12 -1 -6 -1 -0 -4 -4 -3 -2 -4 -7 -8 -9 -6 -3 0 3 3 4 5 7 8 11 12 10 9 10 8 5 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 6 5 4 4 5 5 4 5 6 8 6 4 4 4 4 4 4 4 4 2 3 4 5 4 4 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 4 5 7 7 6 5 5 4 4 5 6 6 6 5 4 3 3 4 4 4 5 6 6 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 3 2 2 2 2 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 8 8 8 8 8 9 9 10 8 6 6 6 7 8 8 8 8 9 9 10 10 7 5 5 5 4 4 4 4 3 3 4 -1 0 4 0 2 6 5 4 2 6 5 7 8 4 2 2 0 7 11 10 17 22 16 9 7 5 4 6 6 5 5 5 5 3 4 1 -0 3 7 8 4 7 7 6 9 17 16 9 6 6 4 5 6 5 6 7 6 12 14 9 5 5 5 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 5 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 5 6 7 7 6 6 7 8 8 9 9 8 7 5 4 5 6 7 6 6 6 7 6 5 5 6 10 15 14 14 18 14 3 -1 1 2 2 2 2 1 3 7 16 24 21 11 6 4 5 6 6 6 6 8 15 23 28 24 13 6 7 13 17 14 -1 -10 -7 -4 -5 -5 -4 -1 1 1 1 -1 1 2 3 2 3 5 8 10 13 15 16 14 11 9 5 2 3 2 3 3 3 3 4 4 4 4 4 4 5 6 6 5 4 5 6 7 7 6 5 5 5 5 5 4 6 7 6 5 4 4 4 4 4 4 2 1 2 4 4 4 4 4 4 4 3 3 3 4 4 5 4 5 5 5 4 4 3 3 3 3 3 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 4 3 4 4 5 6 6 5 5 4 4 4 5 7 7 6 5 5 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 4 4 4 4 4 5 4 4 3 3 2 2 2 2 2 3 3 3 4 4 4 3 3 2 3 3 3 2 2 3 3 2 2 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 5 4 3 3 3 3 4 6 8 8 9 10 9 9 9 10 9 7 5 5 6 7 7 7 7 8 9 9 10 9 8 6 6 6 4 4 4 4 4 3 4 4 4 4 8 6 2 -2 3 -1 4 6 11 9 5 2 2 0 4 10 13 14 8 5 6 7 5 2 2 2 -3 -2 1 3 2 4 4 3 6 7 6 4 6 5 6 5 7 8 6 5 4 4 4 5 5 5 6 8 13 11 6 5 5 5 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 3 3 3 3 3 5 6 8 8 8 8 8 9 10 9 7 5 5 6 7 7 7 7 8 7 5 5 5 9 16 19 14 11 8 2 -3 -3 -0 1 0 -0 1 3 6 11 20 21 11 6 7 6 6 5 4 4 6 11 18 24 24 14 6 4 7 12 13 2 -7 -7 -3 -0 -0 -0 1 3 5 6 5 3 2 3 4 5 7 10 10 8 7 10 11 8 5 3 2 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 3 2 3 3 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 4 3 3 4 4 5 5 5 5 5 4 3 4 6 7 7 6 5 4 4 3 3 3 4 5 5 5 5 5 5 6 6 6 5 4 4 5 5 5 5 5 5 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 5 5 4 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 4 4 3 3 4 4 4 4 4 5 6 6 5 4 4 5 5 4 3 3 3 4 7 9 10 11 11 11 10 9 9 9 6 5 5 6 7 7 6 7 7 9 10 10 10 9 9 8 7 6 5 4 4 5 5 6 7 4 4 12 11 5 5 6 3 8 13 10 6 5 4 6 6 3 9 6 0 -3 -3 1 4 3 2 2 -2 -5 -2 3 5 4 3 4 6 10 8 5 4 3 3 5 3 3 4 4 4 1 3 5 5 5 5 5 8 12 9 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 5 6 8 9 9 8 9 10 11 10 7 5 5 5 6 7 7 7 7 7 6 5 5 7 12 19 20 14 11 8 2 -2 -3 -2 -1 -1 -0 1 4 7 10 13 9 4 5 6 5 4 3 4 5 8 10 12 15 12 4 -2 1 7 10 6 2 2 5 3 1 2 3 4 4 4 2 2 3 4 7 9 11 11 8 6 4 4 4 3 3 3 3 3 4 3 4 4 4 4 5 5 5 4 4 5 5 6 6 6 5 5 5 5 5 5 6 7 6 6 6 6 5 5 5 5 5 5 4 4 4 6 7 6 4 4 4 4 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 3 2 2 3 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 3 3 4 4 3 3 4 3 3 3 2 3 4 5 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 5 4 4 4 3 3 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 3 4 4 4 5 4 3 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 5 5 5 6 6 5 5 5 5 5 4 3 3 4 6 9 11 13 14 13 12 11 10 9 7 6 5 5 6 7 7 6 6 7 8 9 10 10 10 10 9 8 7 6 5 4 6 7 7 7 2 3 15 19 5 7 8 9 8 13 8 3 5 4 6 6 2 11 1 -8 -5 -4 -1 -0 -0 2 3 1 2 5 5 7 8 2 1 8 11 10 6 4 1 1 3 2 2 -1 -0 2 3 6 6 5 5 5 5 10 13 8 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 3 4 5 6 7 8 9 10 10 10 12 10 8 6 5 5 5 5 5 6 6 6 5 5 5 5 8 12 16 15 13 10 6 2 -2 -4 -3 -4 -3 -4 -0 4 5 7 5 3 4 5 6 5 3 2 2 4 5 4 4 6 4 -0 -1 4 8 9 8 7 7 5 2 5 6 6 6 5 3 4 7 10 11 12 13 11 10 11 8 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 5 5 5 5 6 6 6 6 6 5 4 4 4 5 6 6 6 6 5 5 5 6 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 2 3 4 3 4 4 4 4 4 3 3 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 3 3 3 4 3 3 3 3 2 3 3 3 3 4 3 4 3 4 4 4 5 5 5 5 6 6 5 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 4 4 5 8 11 13 15 16 15 13 12 10 9 6 5 5 6 7 7 6 6 6 7 8 10 11 11 11 10 9 8 7 7 6 5 5 7 7 6 -1 0 19 23 3 -0 4 6 2 8 8 7 6 2 -0 2 0 4 -1 -6 0 2 5 4 2 1 -1 2 10 10 5 6 9 4 2 8 9 9 6 4 1 3 3 4 0 -4 -3 1 8 8 6 5 5 6 6 12 14 7 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 4 4 4 4 5 5 5 7 9 10 11 11 12 11 8 6 5 5 4 4 4 4 5 5 4 5 5 5 6 7 10 11 13 12 7 3 2 0 -0 -2 -4 -8 -9 -3 2 4 4 5 5 6 7 6 4 4 4 2 3 4 3 3 4 4 3 4 7 8 8 7 6 5 5 8 9 7 9 13 11 10 13 14 13 12 9 7 8 8 5 5 5 5 5 4 4 3 3 4 4 3 4 4 5 5 6 6 5 5 6 6 6 6 6 6 6 5 4 4 5 5 6 6 5 3 3 4 6 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 4 3 3 3 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 4 4 3 4 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 5 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 7 6 5 5 7 11 13 17 19 19 18 15 12 11 8 5 4 5 6 7 6 6 6 7 8 9 10 11 12 12 10 9 8 7 7 5 5 5 5 7 4 -4 -3 17 20 2 -3 6 4 1 5 11 14 6 -2 -7 -1 5 4 4 3 4 9 15 9 3 3 2 5 9 9 5 6 8 5 4 6 7 6 5 3 2 5 5 6 2 -1 1 6 10 8 5 6 5 5 8 11 10 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 3 4 4 3 4 3 3 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 3 4 4 5 5 4 4 4 4 5 5 7 9 10 11 10 10 8 7 5 5 4 4 4 3 3 4 4 4 4 4 5 6 7 9 12 16 13 8 5 4 5 4 1 -5 -11 -11 -6 -1 3 5 5 5 8 8 6 9 12 7 4 4 5 5 4 4 5 5 5 7 7 7 6 6 6 10 12 11 11 16 16 15 14 11 10 9 8 6 6 5 5 5 6 6 6 6 5 4 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 6 5 4 4 4 5 5 5 4 4 4 5 5 5 4 5 5 5 4 4 3 3 4 4 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 6 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 4 5 5 5 5 6 6 4 4 4 4 5 6 6 5 5 5 5 4 4 4 4 5 4 4 3 3 4 4 3 4 4 3 3 3 4 5 5 5 5 6 5 5 4 4 4 4 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 7 7 6 5 7 11 15 18 21 22 20 18 14 11 10 7 4 4 4 5 6 6 6 6 6 7 9 10 11 12 11 10 9 8 7 6 4 4 4 3 5 6 -1 -6 10 14 2 -0 9 7 2 6 15 18 5 -4 -7 0 16 17 12 9 7 14 18 12 10 11 9 7 6 6 6 8 9 4 2 3 5 6 6 5 4 6 7 7 4 2 7 11 8 5 5 6 6 6 10 13 10 6 5 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 5 4 4 4 4 4 4 6 7 9 10 10 8 7 6 5 5 4 4 4 3 3 3 3 3 3 3 4 5 6 7 10 14 19 18 11 5 6 7 6 2 -4 -9 -11 -10 -3 2 1 1 4 7 6 9 14 11 7 5 5 4 4 5 5 5 4 4 4 6 6 7 6 9 12 12 11 12 12 11 9 7 6 7 8 7 6 6 5 5 6 7 7 7 6 4 4 3 3 3 4 4 4 5 4 5 5 6 6 6 6 6 6 6 6 5 4 3 4 5 5 5 5 7 8 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 6 6 5 4 4 4 5 5 5 5 4 5 5 6 5 5 4 4 2 2 3 2 2 3 3 4 4 5 5 6 5 4 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 8 7 6 8 14 20 23 25 25 22 19 15 12 10 9 6 4 4 3 5 6 6 5 4 6 6 8 10 11 12 11 9 8 7 6 5 4 5 4 0 1 8 6 -3 7 11 1 0 12 11 4 4 11 14 7 1 -1 4 22 21 11 7 10 19 17 13 14 12 8 5 6 5 6 9 9 2 -2 1 5 6 6 7 9 10 8 6 4 8 13 9 2 3 5 7 6 7 10 13 9 5 4 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 3 2 2 3 4 4 3 4 4 4 5 5 6 8 10 10 9 8 7 6 5 4 4 3 3 2 2 2 3 3 3 3 3 4 5 7 9 14 20 17 11 10 10 8 6 4 1 -4 -9 -8 -5 -6 -5 -2 -2 -2 2 8 9 7 5 5 5 4 5 5 4 3 3 3 4 7 10 8 7 8 7 7 8 7 6 5 5 6 7 7 7 7 6 6 6 6 7 8 8 7 6 5 4 4 3 4 4 5 5 5 4 5 5 5 5 6 6 5 5 4 4 3 2 4 5 5 5 6 7 7 6 6 5 5 6 6 6 6 5 4 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 6 6 5 4 4 5 5 5 5 4 5 5 7 7 7 6 5 4 4 4 3 3 2 2 3 4 4 4 4 5 5 4 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 7 9 7 9 17 28 35 34 28 23 19 15 12 10 8 7 5 4 4 4 5 6 7 5 4 5 6 7 9 11 11 11 9 6 5 5 4 4 6 6 -1 -3 4 7 1 4 6 5 6 13 12 5 2 5 9 9 8 6 7 19 16 7 6 12 18 13 10 9 6 3 4 6 4 4 7 6 0 -3 2 6 5 5 7 11 11 7 4 5 10 11 4 -1 3 6 7 7 6 7 5 3 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 2 2 3 4 4 4 4 4 4 5 5 5 6 8 9 10 9 8 8 7 5 4 3 2 2 2 2 2 2 3 3 3 4 4 4 5 7 11 15 16 16 16 14 10 7 7 6 0 -5 -4 -5 -5 -3 -3 -4 -0 4 6 7 5 5 5 5 6 6 6 6 6 7 8 10 13 10 5 4 4 5 6 6 6 5 5 5 5 6 6 6 6 6 6 5 6 7 8 8 8 7 5 5 4 4 4 5 5 5 5 5 4 4 5 5 6 5 5 5 5 5 6 5 5 5 5 5 4 5 6 7 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 7 7 7 6 5 5 5 5 5 5 4 4 5 6 7 7 7 7 7 6 5 4 3 3 3 2 3 4 3 3 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 3 4 4 4 4 3 3 3 3 4 3 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 5 6 9 10 10 19 35 44 50 39 23 16 14 12 9 7 5 4 3 4 5 6 6 7 7 6 5 4 5 7 9 10 10 9 7 5 4 4 4 4 4 6 2 -2 -1 2 1 -1 -0 8 11 15 14 6 1 2 5 8 10 7 10 18 13 7 9 11 10 8 8 5 3 2 4 5 1 0 3 3 1 2 6 8 5 2 2 6 8 5 -0 3 7 5 0 1 4 5 4 5 6 7 3 3 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 4 3 2 4 4 4 4 4 4 4 5 5 5 5 6 8 9 10 10 10 8 6 5 4 3 3 3 3 2 2 2 3 3 3 3 4 4 5 5 8 11 13 16 17 14 10 10 10 8 6 7 5 2 3 4 4 5 6 8 7 6 7 7 6 7 7 7 9 10 11 12 12 10 7 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 8 8 8 7 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 9 10 6 5 5 5 5 4 5 5 6 6 6 6 6 6 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 3 4 4 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 7 8 8 7 7 6 6 6 6 5 5 4 3 4 6 7 7 8 9 9 6 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 6 5 4 4 3 3 4 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 8 11 11 14 28 39 39 44 32 14 9 11 10 7 3 1 1 3 6 7 7 7 8 7 6 5 5 7 8 8 9 9 8 6 3 2 5 5 3 2 3 7 3 2 5 5 3 2 5 6 14 14 7 5 6 6 5 4 4 10 17 12 9 9 8 6 6 5 3 2 2 4 3 -2 -2 1 3 4 5 10 9 0 -4 -1 3 4 1 -4 -0 4 5 4 3 0 -4 -2 3 6 6 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 8 11 12 11 10 7 5 5 5 4 4 4 3 3 2 2 3 3 3 3 4 4 4 5 5 6 9 11 12 11 10 12 11 11 15 13 8 8 9 9 8 9 11 10 8 11 12 9 9 8 7 9 10 9 9 8 6 4 3 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 5 6 6 6 5 4 4 5 5 5 5 6 5 5 5 4 4 4 5 5 6 6 7 7 6 6 5 5 4 4 5 5 4 5 6 6 6 6 6 5 5 5 5 5 5 4 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 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 6 6 7 6 6 6 6 6 6 6 6 5 5 4 3 2 4 5 6 8 10 9 7 5 4 4 4 3 3 3 3 2 3 3 3 3 4 5 5 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 3 3 3 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 5 7 11 13 14 19 24 21 19 23 17 8 8 9 7 3 -1 -1 1 5 7 8 8 8 8 7 7 7 7 8 8 7 8 8 7 4 3 4 7 6 5 -1 -1 9 5 5 12 12 9 6 3 2 6 9 11 14 15 10 4 -0 3 10 14 10 8 7 5 4 6 4 2 -1 0 3 1 0 0 4 7 5 4 8 5 -7 -6 0 3 2 -2 -2 3 9 11 7 -0 -9 -11 -3 3 6 4 8 12 8 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 4 4 5 5 5 5 5 4 5 7 11 13 13 10 8 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 6 7 8 8 8 8 8 12 14 13 9 10 10 7 8 10 10 10 11 12 12 10 9 5 4 6 6 5 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 2 2 2 2 3 3 2 2 3 3 4 5 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 5 4 4 5 6 6 6 6 6 6 5 5 4 4 4 5 6 6 6 6 6 6 5 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 5 5 5 5 5 5 6 6 6 5 5 3 2 3 4 6 7 9 8 7 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 2 2 2 3 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 5 6 9 14 17 18 19 15 5 10 13 8 7 11 9 4 0 -1 0 4 5 6 7 8 8 8 9 9 9 9 9 9 8 8 7 4 2 4 6 6 4 3 0 4 9 3 4 9 7 7 6 2 1 -1 2 11 19 18 11 3 1 9 16 14 9 7 6 5 6 6 3 1 -2 1 4 2 2 4 7 10 2 4 6 2 -5 -3 2 4 2 1 3 7 14 13 6 -3 -10 -5 3 5 4 5 12 15 8 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 6 9 13 15 12 8 6 6 6 6 5 5 5 5 4 3 3 3 3 3 3 3 3 3 4 5 4 4 5 5 5 6 6 5 5 8 10 9 9 9 7 7 6 6 7 7 7 7 7 6 4 3 3 3 4 5 4 3 4 4 4 4 3 3 3 2 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 5 5 5 6 7 6 6 6 5 4 4 4 4 4 4 5 6 7 7 6 6 6 5 4 4 4 5 5 6 6 6 7 7 6 6 7 6 7 6 6 6 5 4 4 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 6 5 4 3 3 3 4 5 5 6 5 5 4 2 2 3 6 7 8 6 5 5 6 7 6 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 4 3 3 4 4 3 3 2 3 3 4 5 5 5 4 4 4 4 5 5 5 4 4 5 6 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 4 4 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 10 16 22 21 16 9 2 13 14 4 6 10 9 4 1 2 4 5 5 4 6 7 8 9 10 10 10 9 10 10 9 8 5 2 2 5 6 3 1 3 7 7 9 5 6 1 -1 5 6 3 5 -2 -3 8 14 14 9 2 5 14 17 13 9 6 5 7 8 6 2 0 0 2 2 2 2 4 7 7 -2 1 5 3 1 -2 3 6 1 3 9 14 19 12 4 -1 -2 5 8 5 3 6 10 9 5 5 4 4 4 3 4 4 4 4 4 3 3 4 3 2 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 5 6 5 5 5 5 5 5 5 5 4 4 3 4 7 12 16 14 9 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 5 6 7 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 4 3 3 3 2 2 2 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 6 6 5 5 5 5 4 4 4 4 4 5 5 6 7 7 6 6 5 5 4 3 3 4 4 5 5 5 6 6 6 6 7 7 7 8 7 6 5 4 4 3 2 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 5 5 4 3 2 2 2 4 5 5 5 5 4 3 2 3 5 7 7 6 5 5 6 7 7 6 5 5 4 4 4 4 5 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 2 2 3 4 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 5 4 5 4 4 5 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 6 7 8 10 19 27 22 13 4 1 7 3 -2 4 6 6 3 2 3 4 3 2 3 5 6 7 9 10 11 11 10 10 10 9 8 4 3 3 4 1 -5 3 13 8 5 5 5 6 -1 1 7 6 5 6 2 4 10 12 13 10 7 9 13 13 10 8 5 4 6 7 5 3 1 2 3 1 3 3 -2 -1 3 -3 -0 3 3 2 -2 3 4 -3 -1 9 18 22 15 7 8 12 13 10 7 4 6 9 9 6 5 5 4 3 4 4 4 4 4 4 3 3 3 3 3 2 3 3 4 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 5 4 5 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 5 6 5 5 5 5 5 4 4 3 3 3 5 10 16 15 9 5 4 3 4 4 5 5 5 5 6 5 4 4 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 5 5 5 6 6 5 5 4 5 4 4 4 4 3 3 3 4 5 5 4 4 4 4 5 5 4 5 5 5 6 6 6 6 7 6 6 5 5 4 3 3 3 4 4 3 3 3 3 4 4 4 5 5 6 6 6 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 6 5 4 3 2 2 2 2 4 4 5 5 5 3 2 3 5 7 7 7 6 5 4 5 6 7 6 6 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 4 3 3 2 3 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 7 9 10 13 24 32 23 9 -2 -6 -7 -14 -14 -3 1 1 1 1 2 2 2 2 3 5 6 7 9 11 12 10 10 11 10 9 7 5 5 6 7 1 -7 -1 10 7 5 4 3 3 4 6 6 6 10 6 7 9 13 12 14 16 14 13 10 9 8 6 3 2 4 5 3 2 0 0 3 4 8 3 -10 -10 5 5 -1 2 4 1 -1 1 -1 -5 -0 5 11 18 19 13 15 20 17 10 6 5 6 9 10 8 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 5 4 4 4 5 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 4 8 14 15 10 5 3 3 4 4 5 5 5 5 5 6 5 5 5 5 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 3 3 2 3 3 4 3 4 4 5 5 3 3 2 2 2 2 3 3 4 5 7 8 9 9 7 6 6 5 6 5 5 6 7 7 6 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 7 6 6 6 5 4 3 3 3 3 3 3 2 1 1 1 1 2 2 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 5 4 3 3 2 2 3 3 4 5 5 5 4 3 3 4 6 7 7 6 5 3 3 4 5 6 6 6 6 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 3 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 6 7 9 11 14 20 31 32 20 6 -7 -6 -10 -19 -17 -7 -2 -2 -1 1 2 2 2 2 4 4 6 7 9 12 12 11 10 11 10 8 6 4 5 6 7 7 7 5 4 1 -0 3 2 2 7 10 5 7 13 11 13 16 18 13 15 14 12 10 9 9 8 4 1 1 3 3 2 0 -1 1 5 8 7 -2 -16 -9 16 15 -3 1 6 -1 0 3 -0 2 3 2 6 14 18 15 16 18 14 9 5 4 8 10 11 9 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 4 5 5 5 6 6 6 6 6 6 6 5 5 5 4 3 3 3 3 6 10 13 11 6 4 3 3 4 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 5 5 4 3 4 4 4 4 4 3 5 6 7 7 6 5 5 4 3 3 3 3 3 3 3 4 6 6 5 4 2 2 2 2 2 3 4 5 7 12 16 16 15 11 9 6 5 6 6 6 6 7 7 7 6 6 5 5 5 5 4 3 3 2 3 4 4 4 4 5 4 5 5 5 5 7 7 7 7 7 7 7 7 6 6 6 5 4 4 4 4 4 4 3 2 2 1 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 6 4 3 3 3 3 2 2 3 4 5 6 5 3 3 4 6 7 7 6 5 4 3 3 3 3 4 6 7 6 5 4 4 5 5 5 4 4 5 5 5 5 5 6 6 4 4 4 4 4 4 4 3 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 5 5 5 6 5 4 4 5 5 5 5 5 5 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 8 10 13 16 21 28 33 27 13 2 -5 2 -5 -13 -11 -5 -2 -0 1 3 3 3 3 3 4 5 6 7 10 12 13 12 12 10 8 7 5 4 3 4 5 7 11 14 11 5 -1 1 1 2 7 11 8 7 12 18 25 31 25 16 14 10 6 4 7 9 7 2 -2 -1 3 4 3 1 2 6 9 8 0 -10 -11 6 26 18 -4 -0 7 -1 5 9 5 7 3 4 11 13 12 12 14 14 11 7 3 5 8 10 12 9 5 4 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 2 1 1 2 4 5 5 5 6 6 6 6 7 6 6 6 5 4 4 3 3 3 4 6 10 11 8 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 4 3 4 4 6 8 8 7 5 4 4 4 4 3 3 3 3 4 6 6 6 4 3 2 2 2 3 3 4 5 9 17 24 24 20 14 8 4 4 6 6 6 6 7 8 8 7 6 6 5 5 5 5 5 4 3 3 3 4 5 4 5 5 5 5 5 5 6 7 7 7 7 7 7 7 6 6 6 7 6 5 4 4 5 5 5 5 4 3 3 1 0 0 2 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 4 3 3 4 3 3 2 2 3 4 5 5 5 4 4 5 6 6 6 6 5 3 2 2 1 2 4 7 7 6 4 4 4 5 5 4 4 5 5 5 5 6 6 6 4 4 4 5 4 4 3 4 4 4 3 4 4 4 3 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 7 9 12 15 17 21 24 27 28 21 7 -4 -1 1 -5 -10 -6 -3 -0 1 3 3 4 3 3 3 4 5 6 8 11 14 14 14 13 9 5 5 5 4 3 5 7 7 3 3 6 7 5 5 3 3 7 9 8 9 12 19 26 25 16 15 14 11 5 3 5 4 2 1 -2 -1 3 6 7 5 6 9 8 3 -4 -9 -1 18 27 11 -5 3 10 2 8 9 8 8 7 11 16 11 8 10 13 14 11 5 2 5 7 11 16 10 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 4 4 3 3 4 3 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 3 2 1 2 3 4 5 6 5 5 6 6 6 7 7 7 6 6 5 4 3 3 3 3 4 7 10 10 7 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 7 10 10 7 5 4 4 4 3 3 3 3 4 5 6 6 4 3 2 2 2 2 3 4 6 10 18 27 28 22 13 5 3 5 6 5 6 6 7 8 8 8 7 6 6 6 6 6 6 6 5 4 4 4 4 5 4 4 6 5 6 6 6 7 7 8 8 7 7 6 6 6 6 7 7 6 5 5 6 6 7 7 6 6 6 5 3 2 2 3 4 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 6 5 4 3 4 4 4 3 2 2 3 4 5 5 4 5 5 6 6 6 7 6 4 3 3 1 1 2 5 6 6 5 4 4 4 4 4 4 5 6 6 6 6 6 6 5 4 4 4 5 5 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 8 11 14 17 19 20 20 19 18 19 14 2 -9 -9 -15 -14 -9 -3 -2 -1 1 3 4 4 3 3 3 4 5 5 8 13 17 17 14 12 10 4 3 3 3 7 8 7 8 8 4 1 0 4 6 5 6 7 6 6 8 14 22 19 10 8 11 13 11 6 3 3 -0 -0 6 4 2 3 7 10 9 8 8 5 -1 -4 -5 0 12 19 11 -1 4 10 4 6 4 5 10 17 20 15 9 9 11 14 12 8 3 3 5 7 12 16 9 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 4 4 4 4 3 3 4 5 6 7 6 5 5 6 6 6 6 6 7 7 6 5 4 3 3 3 4 6 9 10 9 6 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 5 8 11 9 6 4 4 4 2 2 3 3 4 5 6 6 4 3 2 2 2 2 2 3 5 9 15 24 26 19 8 2 3 5 5 5 5 6 7 8 8 7 7 7 7 7 6 5 5 6 8 9 6 4 3 4 3 6 7 6 6 6 7 7 7 8 7 8 7 6 6 5 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 5 3 4 5 5 5 6 5 5 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 8 7 6 5 4 4 4 4 4 3 3 3 4 4 4 4 4 5 6 5 6 7 7 6 5 4 3 1 1 2 4 6 6 5 4 4 4 4 4 5 6 6 5 6 7 5 5 4 5 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 3 3 4 4 5 5 4 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 9 12 15 18 19 19 16 14 11 9 9 4 -5 -11 -13 -14 -10 -2 -0 -0 1 3 3 4 4 3 3 4 4 5 6 9 16 20 18 13 13 12 7 5 7 2 9 13 8 8 9 5 5 3 3 3 4 6 7 6 5 9 18 22 12 6 6 9 15 13 9 2 -1 -1 8 16 10 5 6 9 10 8 6 3 -1 -3 0 1 -2 1 11 16 9 6 6 8 5 -1 1 10 17 17 12 9 10 11 11 9 4 2 4 5 6 11 13 7 5 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 7 7 7 6 5 5 6 6 6 6 7 6 6 5 5 3 3 3 3 5 7 8 8 6 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 3 4 5 8 10 10 7 5 4 3 2 3 3 3 4 4 5 4 3 2 1 1 1 2 2 4 6 9 15 17 13 5 2 3 4 4 5 5 6 7 8 7 7 6 6 9 10 8 4 2 5 11 13 10 6 4 3 4 7 7 6 6 6 7 6 6 7 7 8 8 7 6 5 5 6 7 7 7 7 6 7 7 6 7 8 7 7 7 6 5 5 5 6 6 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 7 7 6 5 4 4 4 5 5 5 5 4 4 4 3 3 4 5 5 5 6 7 7 7 5 4 2 1 1 2 3 5 5 4 4 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 13 15 17 18 15 12 10 10 8 3 -0 -5 -11 -9 -2 3 6 7 3 2 3 4 4 4 4 4 4 4 5 5 6 11 20 22 17 11 11 10 6 5 8 5 9 13 9 8 5 1 2 3 4 4 5 5 5 5 6 12 20 17 6 4 5 9 13 17 13 3 -2 5 16 20 11 5 6 8 6 4 4 4 1 -1 3 8 4 -0 6 14 14 7 2 10 5 1 4 9 13 11 8 8 7 7 7 4 0 1 4 5 8 14 15 8 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 6 5 5 6 6 6 6 6 6 6 6 6 5 4 3 3 4 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 5 5 4 4 5 5 7 10 11 8 5 4 3 3 3 3 3 3 4 4 3 2 1 1 1 1 2 3 3 4 5 7 7 5 5 6 4 3 5 6 6 7 7 7 6 4 3 7 12 11 6 2 3 9 14 12 8 5 4 4 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 7 6 6 6 5 4 4 5 6 6 6 5 4 3 2 2 2 3 4 5 6 6 7 7 7 5 4 2 1 1 1 3 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 6 6 5 4 3 3 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 9 15 15 14 12 8 7 8 10 9 6 4 -0 -3 2 9 13 11 8 4 4 5 5 5 5 4 4 4 5 6 6 9 14 21 20 12 7 7 8 6 4 3 3 6 9 5 4 8 6 2 1 1 2 6 4 3 4 7 13 15 7 1 4 7 8 9 14 15 10 5 10 16 16 9 4 4 5 3 2 3 6 2 -2 3 10 7 1 4 7 7 2 2 8 1 2 12 13 11 10 4 2 1 3 3 0 -2 1 5 7 9 13 12 7 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 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 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 4 5 6 4 4 5 6 5 4 4 4 4 4 4 3 3 3 3 3 2 3 3 4 4 4 4 5 5 5 6 7 7 6 6 5 5 5 5 5 7 9 11 8 5 3 2 2 2 2 2 3 4 3 3 2 1 -0 -0 1 2 2 2 3 5 5 7 7 7 4 3 5 6 7 7 8 7 5 2 0 3 9 11 8 3 1 4 9 11 8 6 5 5 5 5 5 6 5 5 6 6 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 7 7 7 6 6 5 5 5 5 5 6 7 6 5 5 4 3 2 2 2 4 5 5 6 6 7 8 7 6 5 3 2 1 2 3 3 3 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 7 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 3 4 4 4 4 5 6 5 5 5 5 5 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 12 16 14 9 7 6 7 9 12 12 14 20 18 14 15 15 13 8 5 4 5 5 5 6 6 5 3 4 6 7 9 12 16 19 15 7 2 3 6 6 6 4 3 4 7 3 0 5 8 7 4 2 7 8 4 1 3 8 13 12 3 -2 4 11 11 8 10 14 17 15 12 13 12 7 3 3 4 1 -0 4 4 -5 -5 2 5 5 4 3 1 -1 0 5 9 -2 4 20 20 13 5 -5 -7 -3 1 1 1 2 4 7 7 7 7 8 6 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 2 2 3 3 3 3 4 5 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 4 4 4 5 5 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 4 5 8 8 6 4 3 2 2 2 2 2 2 3 3 3 2 0 -0 0 1 1 2 5 7 8 8 8 7 5 4 5 6 7 7 7 7 6 3 0 1 4 7 8 5 1 1 4 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 8 8 7 5 5 5 5 6 7 7 7 6 5 5 4 3 3 2 3 5 5 5 6 6 7 7 6 7 7 4 2 1 2 3 3 3 4 5 6 6 5 5 5 5 5 6 7 7 7 6 6 6 7 8 9 7 5 4 4 4 4 4 4 5 6 5 5 5 4 4 5 5 5 5 6 5 6 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 4 4 4 5 4 5 9 12 16 15 11 7 6 7 7 9 11 11 15 27 26 19 14 9 5 3 3 4 5 5 6 6 6 4 3 5 6 8 12 15 15 15 12 7 4 2 0 -0 4 10 9 8 9 6 5 4 6 7 4 7 17 12 5 0 4 8 11 13 6 -0 3 7 7 8 10 13 17 17 13 12 9 6 5 6 5 0 -1 3 3 -1 3 5 5 7 8 2 -0 1 3 6 4 0 10 24 25 12 -3 -13 -9 0 4 4 6 6 6 7 7 5 7 10 9 4 3 4 3 4 4 3 4 4 4 5 4 4 4 4 4 4 5 5 4 4 3 3 2 2 2 3 4 3 3 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 4 4 4 5 5 4 2 2 2 3 4 4 3 2 3 3 3 3 2 2 2 3 3 3 4 4 4 4 5 4 4 5 5 6 6 7 6 5 5 6 4 4 4 5 5 4 4 3 3 2 1 1 2 3 4 4 3 1 1 1 1 1 2 4 7 8 8 9 9 6 5 6 6 6 6 6 7 7 5 4 2 1 3 6 6 3 1 2 4 5 6 6 6 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 3 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 6 7 7 8 9 9 8 6 5 5 6 7 8 8 7 6 5 5 4 4 4 3 4 5 5 4 4 5 5 6 6 7 8 6 3 2 2 3 3 3 3 4 5 6 6 6 5 4 5 6 7 7 6 5 5 5 5 6 7 7 6 5 5 4 3 3 3 4 5 6 5 5 4 4 4 4 5 5 6 6 5 5 6 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 7 13 16 15 11 7 6 7 7 7 9 8 6 8 13 10 6 2 -1 -2 -1 2 4 5 5 6 6 5 4 4 6 7 10 14 16 14 11 9 9 9 6 -0 -3 1 9 12 12 10 8 7 3 4 4 3 9 18 10 4 2 6 7 8 11 6 5 6 2 -1 2 6 10 12 10 8 10 8 4 6 7 6 1 1 7 7 7 9 10 12 11 7 2 1 2 1 -0 -1 8 15 27 25 6 -12 -13 1 12 13 11 11 7 6 5 5 5 8 13 11 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 4 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 7 7 6 6 6 5 5 5 5 5 6 6 6 6 5 4 4 5 4 3 2 1 2 3 4 4 3 3 3 3 3 2 2 2 3 3 3 3 4 4 3 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 4 2 1 1 1 2 4 4 4 3 1 1 1 1 1 2 4 6 8 10 8 6 6 6 6 6 6 6 6 6 6 6 4 2 3 5 6 5 3 2 3 4 4 5 5 5 5 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 5 6 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 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 7 8 9 9 8 7 6 6 7 8 8 7 6 5 5 5 5 5 4 4 5 5 3 3 3 5 6 6 7 7 6 4 1 2 3 3 3 2 2 4 6 6 6 5 4 4 5 7 7 5 4 4 4 4 5 6 7 6 5 4 3 3 3 3 5 5 5 6 6 5 4 4 4 4 5 5 6 5 6 6 6 5 5 5 5 4 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 8 12 13 10 7 5 6 6 6 6 7 6 2 0 -6 -7 -6 -6 -5 -3 1 4 5 5 5 6 6 4 4 6 8 9 11 14 15 13 8 6 10 13 5 1 3 4 4 7 8 8 9 8 3 2 -0 -1 13 15 6 3 5 8 4 7 10 7 7 7 -1 -5 -5 -2 4 5 0 2 6 6 4 6 6 6 4 7 13 14 14 9 6 10 10 5 2 1 2 0 -7 -1 13 20 30 19 -2 -11 -1 14 22 20 16 11 7 5 5 4 4 8 13 11 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 5 6 7 7 6 6 5 5 5 5 5 5 6 6 6 5 5 4 5 5 4 4 3 2 2 4 5 4 3 3 3 2 2 2 2 3 3 3 3 3 4 4 3 3 4 4 4 5 5 6 6 6 5 5 5 5 4 5 4 4 5 6 6 4 2 2 2 2 3 4 5 4 2 2 1 2 1 1 2 5 7 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 4 4 4 4 4 4 5 5 5 4 3 2 3 3 4 5 5 5 5 6 5 5 6 6 5 6 6 6 6 6 6 6 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 7 8 9 10 9 8 7 7 7 8 7 6 5 4 5 5 5 5 5 4 3 2 2 3 4 5 5 6 7 7 5 3 2 3 4 3 2 3 4 5 6 6 5 4 4 5 6 6 6 5 5 5 5 6 6 6 6 5 4 3 3 3 4 4 5 5 5 6 5 5 4 4 4 4 4 5 5 6 6 5 6 5 5 5 5 5 5 5 4 5 4 4 4 5 5 6 6 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 6 5 5 4 5 6 10 11 7 6 6 6 6 7 7 7 5 2 0 -5 -5 -5 -3 -1 2 5 6 6 5 5 7 6 5 5 7 10 11 11 12 12 10 7 6 10 7 -4 -2 9 10 5 6 6 6 8 9 6 4 -0 -1 10 10 4 7 9 8 0 7 13 10 9 5 1 3 -1 -3 2 2 -1 3 3 2 3 5 6 8 10 12 10 3 -4 -6 2 10 9 4 0 -0 1 -1 -3 6 15 28 29 10 -4 -1 10 19 22 19 13 7 4 4 5 4 4 8 13 12 7 5 6 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 4 4 4 4 5 5 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 5 6 6 5 5 5 6 6 6 6 6 5 5 6 6 5 5 4 4 4 5 4 4 3 2 2 2 2 3 3 3 2 2 3 4 4 3 3 3 4 4 5 5 6 6 6 6 6 5 5 6 8 8 9 9 8 8 6 4 3 2 3 3 4 5 4 3 2 2 2 1 0 2 5 7 6 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 5 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 6 6 7 9 9 9 8 7 7 7 7 7 6 5 5 5 5 6 5 4 3 2 1 2 4 5 6 6 6 7 7 5 3 4 3 3 4 4 4 5 5 6 6 6 5 5 5 6 7 6 6 6 6 7 7 6 5 4 3 3 3 3 4 4 5 5 4 5 5 5 5 4 4 3 3 4 4 5 5 6 6 5 5 6 5 5 5 5 5 5 4 4 4 5 5 5 6 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 6 9 10 8 7 7 6 7 8 10 6 1 4 6 5 3 2 3 4 6 7 7 6 6 6 7 7 6 7 10 12 12 10 10 9 7 7 7 13 7 -1 4 10 7 4 6 6 5 6 7 8 6 2 3 7 6 7 9 10 4 -0 9 14 10 10 8 10 11 9 11 11 8 9 9 5 2 1 3 7 6 6 7 3 -5 -13 -9 1 5 1 -2 -0 3 1 -2 3 10 14 28 23 7 4 9 12 14 14 11 6 3 3 5 5 4 6 11 16 15 8 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 6 7 5 3 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 6 7 6 6 6 6 6 6 6 5 5 4 3 3 3 2 2 2 3 3 3 3 2 2 3 4 4 4 3 3 3 4 5 6 6 6 6 6 6 5 4 7 10 11 12 12 12 12 11 8 5 3 3 4 4 4 4 4 3 3 3 2 1 2 5 5 4 4 4 4 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 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
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nan 7 7 7 7 7 7 6 6 5 5 6 7 8 9 9 8 7 5 4 4 4 4 5 5 5 5 5 5 6 8 10 12 13 13 10 7 5 5 4 4 4 6 8 10 10 8 6 5 4 5 5 5 5 4 3 3 3 4 5 6 6 5 4 5 6 6 5 4 4 5 5 6 6 5 5 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 7 15 27 25 13 8 9 7 -1 -6 -5 1 9 13 9 2 0 3 2 4 5 5 7 9 9 7 5 4 5 5 5 5 5 8 10 12 12 10 8 9 9 7 4 3 3 2 12 19 20 5 4 7 11 12 8 2 -2 -2 3 5 6 8 8 7 5 2 1 3 8 12 13 13 9 6 5 5 4 3 1 -5 -5 0 3 6 7 7 12 14 8 3 -4 -8 -7 -6 -6 1 2 5 7 1 1 8 16 20 14 8 6 6 11 17 20 17 9 7 7 7 7 6 6 7 7 7 6 4 4 4 5 5 5 6 6 6 10 14 13 8 6 7 7 8 8 7 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 6 5 5 5 5 6 5 6 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 3 3 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 4 4 5 11 18 15 10 8 6 5 5 6 6 4 2 6 14 21 24 21 21 28 28 17 8 4 2 2 3 3 2 2 2 1 2 2 3 3 3 4 4 5 5 4 3 2 2 2 2 2 3 4 4 5 6 6 6 5 5 6 5 5 6 6 6 6 6 5 5 6 5 5 5 5 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 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 6 6 5 6 6 7 8 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 4 6 8 10 12 10 8 6 5 4 3 2 4 6 9 11 11 9 6 4 4 5 5 4 3 3 3 3 3 5 5 6 5 5 5 6 7 6 5 4 4 5 5 6 6 5 4 4 4 5 6 6 5 5 5 4 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 7 13 26 35 17 -4 -4 1 2 -1 -0 2 7 15 20 15 2 -6 -8 -17 -11 1 6 7 8 7 6 5 4 4 5 5 6 8 12 14 12 9 6 7 11 14 13 9 4 3 3 8 13 9 -1 7 14 15 11 5 3 4 5 5 4 5 7 9 10 7 4 1 3 9 13 12 9 5 4 4 3 3 1 -3 -6 -4 2 -2 -5 -2 1 7 12 7 -0 -5 -2 3 3 2 1 -5 1 2 -2 2 8 12 14 14 12 13 14 16 21 19 13 7 6 7 7 5 4 6 6 6 6 5 3 3 4 4 4 5 5 5 6 9 12 9 5 5 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 7 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 5 6 5 5 5 5 5 4 5 5 5 6 5 5 4 4 3 2 3 2 2 3 4 5 5 5 5 4 4 4 5 4 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 4 4 4 4 4 7 15 16 8 5 5 6 6 6 6 6 6 7 12 19 23 20 16 21 28 24 12 5 3 2 3 3 3 2 2 1 1 1 2 3 3 3 4 4 5 5 5 3 2 2 2 2 2 2 3 4 4 5 5 5 6 6 5 5 5 6 6 6 6 6 5 5 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 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 7 9 9 8 7 5 4 2 2 2 4 7 10 12 11 7 5 3 3 3 4 3 4 3 3 3 4 5 5 6 5 5 6 7 7 6 4 4 4 4 5 6 6 5 4 4 5 5 6 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 11 21 30 25 2 -12 -6 1 3 4 4 5 13 24 29 24 9 -2 -9 -15 -9 2 6 6 7 7 6 4 3 4 4 4 7 11 14 13 10 7 6 8 12 15 16 13 10 7 4 4 7 -1 0 4 11 12 9 4 5 8 7 6 4 6 5 8 12 7 3 1 6 13 15 15 13 7 3 2 2 3 0 -2 -1 4 8 1 -3 -0 1 4 8 8 7 7 11 13 6 -1 2 6 11 6 1 3 6 11 12 15 18 19 16 14 16 12 7 6 7 7 5 4 5 5 5 6 6 4 3 4 4 3 4 4 5 5 6 7 5 2 2 5 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 3 2 2 2 2 2 2 3 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 5 4 5 5 5 5 6 7 7 6 6 6 6 7 7 6 6 6 5 5 5 5 5 6 6 6 5 5 4 4 4 3 3 4 9 18 14 6 4 5 6 6 6 6 6 6 7 10 14 15 12 11 18 23 18 9 4 2 2 3 3 3 2 1 2 2 2 2 3 3 4 4 4 5 5 5 3 2 3 4 4 3 3 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 8 9 9 8 7 7 6 6 5 5 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 7 7 8 8 7 6 5 3 2 1 3 5 7 10 11 9 5 2 2 3 4 5 5 5 4 4 4 5 5 5 5 5 6 7 7 6 5 5 5 4 3 5 6 5 5 4 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 4 3 3 4 6 10 18 23 19 6 -5 -7 -3 3 6 7 6 7 21 29 30 27 15 5 1 -1 -1 3 6 7 8 7 7 5 4 3 2 4 9 12 13 12 11 7 5 8 11 14 14 13 13 12 5 2 5 0 2 2 6 9 6 4 4 4 5 6 7 11 10 11 12 5 -1 2 12 18 17 15 13 6 0 -1 1 3 3 3 5 12 13 11 13 12 9 5 5 5 5 4 6 3 -3 -1 11 21 18 8 6 5 5 8 10 14 19 18 13 10 10 8 7 7 6 4 4 4 5 5 5 6 5 3 2 3 2 3 4 4 4 5 6 6 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 3 2 2 3 2 2 2 2 4 5 5 5 5 4 4 5 5 5 5 6 5 5 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 6 7 6 6 6 6 7 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 10 15 11 6 4 5 6 6 6 6 6 6 7 7 9 12 11 9 11 15 14 10 5 3 3 3 3 3 2 2 2 2 2 2 3 4 4 4 5 4 4 4 3 3 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 7 7 8 9 11 11 10 9 8 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 8 8 7 7 7 8 7 6 4 3 2 3 5 7 8 9 9 6 3 2 4 6 7 6 6 5 5 4 4 4 4 5 4 5 6 7 7 6 6 5 4 4 4 5 5 5 5 5 4 5 5 5 6 5 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 5 7 14 21 15 4 -2 -3 -3 0 6 8 8 7 8 24 23 21 21 9 -1 -2 -3 -3 1 4 7 7 7 7 7 6 4 3 6 9 11 12 15 16 11 5 5 8 11 9 12 14 14 6 4 11 8 2 1 5 7 2 3 5 5 7 8 10 15 17 15 11 2 -0 7 18 19 13 10 7 3 -1 1 4 8 8 6 7 15 14 12 12 11 9 4 3 1 -1 3 8 0 -4 8 14 19 11 7 9 6 6 7 10 14 15 12 9 8 8 7 7 7 4 3 4 4 4 4 5 5 4 3 2 2 2 3 4 5 4 5 6 6 6 9 11 9 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 2 2 3 4 5 5 6 6 6 6 6 6 6 5 5 6 5 5 5 4 4 4 5 5 5 5 6 6 5 5 5 5 6 6 6 6 5 6 7 8 8 7 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 4 6 11 10 10 7 5 5 5 5 5 5 6 6 6 6 7 12 11 4 5 13 14 12 7 4 4 4 4 3 2 2 3 3 3 3 3 4 4 5 5 5 4 4 4 4 5 6 5 4 5 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 7 7 7 9 11 11 11 11 10 9 8 7 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 9 8 8 7 8 8 9 8 6 4 3 4 7 8 8 8 8 7 5 4 5 7 6 5 5 5 6 6 5 4 4 4 5 5 5 7 7 7 6 6 5 5 5 4 5 6 5 5 4 4 5 5 6 5 4 4 4 5 6 6 6 5 5 6 5 4 3 4 5 7 11 13 11 2 -2 -2 -1 1 5 10 10 9 8 11 13 7 3 5 -6 -13 -16 -15 -10 -3 2 4 5 5 6 8 9 7 7 9 10 9 9 14 18 14 6 3 4 7 8 10 14 13 6 4 12 12 6 2 4 4 1 3 5 6 8 10 9 13 19 17 11 4 5 11 16 13 7 2 2 3 5 7 10 14 12 6 5 9 10 4 2 6 4 2 6 7 10 19 17 6 4 12 11 8 2 5 8 5 6 9 13 13 9 7 6 6 6 7 7 7 4 4 5 4 4 5 5 5 4 3 2 2 2 3 4 5 5 5 5 4 6 12 14 10 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 2 2 2 4 5 5 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 5 5 4 4 6 6 7 7 7 6 6 6 5 5 6 6 6 6 6 7 7 6 5 6 13 16 11 9 8 6 5 5 5 5 6 6 6 6 6 7 9 6 -3 -1 14 20 16 11 7 5 5 5 4 4 3 3 3 2 2 3 4 5 5 5 5 5 5 4 6 6 6 5 5 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 7 8 9 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 8 9 10 9 7 4 4 5 8 11 11 9 7 7 6 6 7 8 5 4 4 5 6 6 6 4 4 5 5 5 5 6 7 7 7 7 6 6 5 5 5 7 8 7 4 3 4 5 6 5 4 4 5 6 6 6 6 6 5 5 4 4 4 4 6 9 10 6 0 -2 -1 -2 2 9 10 12 11 10 12 12 2 -1 -4 -9 -13 -15 -15 -12 -7 -1 1 2 3 3 4 6 10 14 16 15 11 6 4 10 14 13 6 2 3 6 7 7 14 14 9 4 4 6 4 4 4 3 3 4 3 3 8 10 9 11 15 15 12 10 11 13 12 7 2 1 7 10 11 10 11 14 10 5 3 4 3 2 4 7 2 4 11 20 31 33 24 12 8 7 6 0 -2 3 5 4 8 12 11 8 6 6 5 4 5 7 7 6 5 4 4 4 5 5 5 5 4 3 3 3 3 4 5 5 5 5 3 3 9 14 12 6 4 6 7 7 7 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 2 2 4 4 4 4 5 6 6 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 6 7 6 6 6 6 7 7 7 7 7 7 7 6 6 5 9 17 16 12 11 9 7 6 5 6 5 6 6 6 6 6 7 6 -1 -11 -9 7 19 21 19 13 7 4 4 5 4 4 3 2 2 3 3 4 5 5 4 5 5 5 5 5 6 6 5 4 4 4 5 6 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 8 8 8 8 9 10 9 9 9 9 8 7 7 8 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 7 9 11 10 8 5 4 6 9 12 12 10 7 6 7 8 9 9 6 3 4 5 6 6 5 4 4 5 6 5 4 5 6 7 7 7 6 6 5 5 6 8 10 9 5 3 3 4 5 5 5 5 6 6 5 6 5 5 5 4 4 4 4 6 9 9 6 1 -1 1 1 1 10 14 9 10 10 12 15 13 7 5 4 2 5 1 0 3 6 7 4 3 2 2 3 5 12 19 21 18 10 4 3 7 9 9 8 5 4 4 5 7 15 14 13 9 4 -0 -1 4 7 6 6 6 4 4 8 6 8 10 12 13 15 15 14 15 15 12 10 14 19 16 10 7 7 7 6 7 9 7 4 5 8 9 6 8 10 16 27 23 12 7 6 4 2 -2 -0 6 8 6 8 10 7 6 7 6 3 3 6 8 8 6 4 4 3 4 6 6 5 5 4 4 4 4 4 5 5 4 4 4 4 6 9 9 4 3 4 5 7 6 6 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 3 4 3 3 4 5 5 5 4 4 3 4 5 6 7 7 7 8 8 7 7 8 7 7 7 7 7 6 6 7 7 6 6 5 5 4 4 4 5 5 5 6 6 7 7 8 8 8 8 7 6 6 6 5 7 8 10 13 13 10 7 6 6 6 6 6 6 6 6 6 7 4 -6 -13 -9 0 8 18 26 23 13 5 4 5 5 4 3 3 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 4 4 5 4 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 7 7 7 6 7 7 7 8 9 10 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 7 8 11 11 9 7 5 6 7 9 11 9 7 6 6 8 10 9 7 4 4 5 6 5 5 4 4 5 5 5 4 4 5 6 6 7 7 6 6 5 6 8 10 8 5 3 3 5 5 6 7 7 7 6 6 5 5 4 4 4 4 4 5 11 12 6 2 1 2 4 4 6 10 11 8 9 11 16 18 17 11 7 10 18 23 16 11 13 14 11 8 5 3 2 5 9 14 15 15 14 9 4 5 6 7 8 9 8 7 5 3 5 11 11 11 14 11 6 2 4 6 7 8 7 6 4 6 5 8 11 11 12 15 16 16 15 16 19 24 27 21 11 4 3 4 4 5 12 15 12 7 8 13 14 11 8 2 -2 8 2 -5 -0 4 3 1 -0 3 11 12 7 8 9 8 8 8 6 3 6 9 9 8 5 4 4 2 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 6 6 4 3 5 4 3 5 6 5 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 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 2 2 3 3 3 2 2 3 3 4 3 3 3 3 4 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 7 8 8 8 8 7 7 6 6 5 5 4 10 15 13 8 6 6 6 7 6 6 6 6 5 6 6 0 -9 -10 -1 2 2 9 23 29 21 10 5 4 4 3 3 3 4 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 7 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 8 9 10 9 8 7 7 7 7 8 7 7 6 6 8 10 10 8 5 3 4 5 5 5 5 5 5 6 5 5 4 4 5 6 7 7 7 6 6 6 7 7 6 4 3 4 6 7 7 8 7 7 6 6 5 5 4 4 4 4 5 6 10 5 -2 0 3 4 5 5 5 7 11 11 10 18 24 23 19 11 6 9 17 16 14 13 14 11 8 9 8 5 5 9 12 11 9 7 10 8 5 5 6 8 9 10 9 9 6 3 4 7 7 4 11 12 10 9 7 7 7 6 5 6 6 8 9 11 11 5 6 11 15 15 12 11 18 26 27 17 7 3 3 2 3 7 12 13 9 6 8 13 14 9 4 -2 -3 3 -6 -6 3 6 3 -0 1 5 10 10 7 7 9 8 7 6 6 7 9 10 10 8 6 5 3 3 5 5 5 5 5 4 4 5 6 5 5 4 4 4 4 5 5 5 4 5 5 3 5 7 5 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 3 2 2 2 3 4 5 6 7 8 7 7 7 7 6 6 7 6 6 7 7 7 7 7 7 8 7 8 7 6 5 5 5 5 5 5 5 6 7 8 9 8 8 7 6 6 5 6 6 9 13 13 9 7 6 7 6 6 7 6 6 6 5 5 4 -4 -10 -5 3 4 3 4 14 25 25 17 9 4 3 4 4 4 4 4 4 3 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 7 6 6 6 6 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 7 7 8 8 8 8 9 9 9 9 9 8 7 6 6 7 6 6 7 10 10 8 6 4 3 4 4 4 4 5 6 5 5 5 5 5 5 6 6 6 6 6 6 7 6 5 3 3 4 6 8 8 7 7 7 7 6 6 5 5 4 4 4 5 5 6 4 -1 -1 3 4 4 5 5 4 7 13 13 14 24 32 28 16 10 9 12 15 11 9 10 9 6 5 8 10 8 9 11 9 6 4 6 10 9 6 5 5 7 9 12 14 13 7 4 2 1 2 2 5 5 5 9 9 8 8 6 3 5 8 10 12 11 8 2 2 9 13 11 7 7 14 22 23 17 10 7 2 1 3 8 8 7 5 2 3 6 6 3 1 5 15 9 2 4 5 4 0 -0 4 6 7 8 6 8 10 6 4 6 10 11 11 10 10 9 7 5 4 4 5 6 6 5 4 4 5 5 6 6 5 4 4 4 5 5 4 4 5 5 4 6 11 10 3 2 4 4 4 4 4 5 5 5 5 5 5 4 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 4 5 4 3 2 2 3 3 3 2 2 2 2 2 1 2 3 3 5 6 7 7 6 6 5 6 6 6 7 7 7 7 7 7 7 7 6 7 8 8 8 7 6 6 5 5 4 5 6 6 7 8 8 8 8 7 6 6 5 5 6 8 9 8 7 6 7 7 8 7 7 7 6 6 6 6 4 -2 -6 -1 3 4 3 3 7 16 22 21 15 8 4 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 6 7 6 4 3 4 5 6 6 6 6 6 7 7 7 6 6 5 5 6 5 5 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 6 6 5 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 10 9 8 9 9 10 9 8 6 6 6 6 6 6 7 7 7 7 7 6 7 6 7 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 7 6 6 6 6 6 7 8 10 9 7 5 3 4 4 3 4 5 6 5 6 6 6 5 5 5 5 6 6 6 7 8 6 4 2 3 5 8 9 7 6 6 6 6 5 4 4 4 4 4 5 6 6 5 4 5 6 5 5 5 5 4 5 8 12 12 15 22 28 27 20 13 8 10 15 13 8 6 4 5 8 11 13 11 10 9 6 3 3 7 11 10 8 7 6 7 9 16 20 15 7 4 1 -3 -2 1 3 1 3 7 7 7 9 6 4 7 10 10 11 12 8 3 2 8 10 7 3 4 9 14 18 21 16 6 -3 0 7 6 3 4 5 2 2 3 2 0 2 17 28 16 10 3 -2 1 -1 0 6 8 7 9 10 12 13 7 6 11 15 16 13 11 10 10 8 5 5 5 5 5 5 4 4 4 5 6 6 7 6 5 4 6 5 4 3 4 5 6 6 9 12 7 1 5 9 6 4 4 5 5 5 6 5 5 4 3 3 3 4 4 5 5 6 6 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 5 4 4 4 4 4 3 3 4 5 4 4 3 3 3 4 5 4 3 2 2 2 1 1 2 2 3 4 5 6 6 5 5 5 5 6 7 7 7 8 8 7 7 7 6 6 6 7 8 8 7 7 6 6 5 4 5 6 7 8 8 8 7 7 6 5 5 5 5 4 2 4 6 6 6 7 7 8 7 7 6 6 6 7 7 6 4 2 4 3 3 4 3 5 8 14 19 19 15 9 7 6 5 5 4 4 4 5 5 6 6 5 5 4 4 5 7 7 6 6 5 4 4 5 6 8 8 7 7 7 6 7 6 6 6 6 6 5 5 5 6 6 5 5 6 6 5 5 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 12 11 10 10 11 10 9 8 7 6 6 6 6 6 7 7 7 7 6 7 7 7 6 6 7 7 8 8 8 8 8 8 9 11 11 10 9 9 8 9 10 11 11 9 7 6 7 6 6 6 8 9 10 8 5 3 3 4 3 3 4 6 6 7 7 6 6 5 5 5 6 6 6 7 7 6 4 3 4 7 8 8 5 4 5 5 4 4 4 4 3 3 4 5 6 6 6 6 6 6 5 5 5 5 4 5 8 11 10 10 11 12 18 25 25 15 10 11 9 4 2 4 8 13 16 15 13 10 7 5 5 4 5 7 6 8 9 8 9 9 14 20 15 6 3 4 1 -0 3 4 6 8 8 5 7 7 3 4 8 10 9 10 11 10 5 6 7 6 4 5 6 5 7 12 18 17 3 -3 5 7 1 2 6 5 3 2 3 3 1 6 21 27 16 5 -6 -2 7 3 -0 4 8 8 10 12 15 12 9 13 17 19 17 13 11 10 10 8 5 5 4 5 5 5 5 6 5 6 7 7 7 6 5 6 7 5 3 3 4 6 6 7 8 9 7 8 13 11 4 1 3 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 6 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 5 4 4 4 4 3 3 3 4 4 5 4 4 4 5 6 7 6 4 3 2 2 2 2 2 2 3 4 5 6 6 6 6 6 6 8 8 9 11 11 11 11 10 9 8 7 6 6 7 7 7 6 6 6 5 5 6 7 8 8 8 7 7 6 5 5 4 4 5 5 2 3 5 5 6 6 6 7 7 7 7 7 7 7 6 6 3 4 4 3 3 4 4 4 4 7 13 17 18 15 11 9 7 6 5 4 4 5 6 6 6 6 5 5 5 5 6 6 7 6 6 6 4 3 5 8 11 10 8 7 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 6 5 5 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 13 12 12 12 11 10 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 9 10 11 11 11 10 8 8 9 9 11 13 12 9 8 8 7 6 6 7 9 10 9 7 5 4 5 5 4 4 6 7 8 7 7 7 6 5 6 6 7 6 7 6 5 4 4 6 7 7 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 4 5 9 15 13 9 6 2 1 8 14 21 21 12 3 -2 -1 4 7 12 16 17 15 12 8 6 6 6 6 3 1 2 6 8 8 9 9 10 9 6 4 5 10 8 1 5 6 6 6 7 7 9 5 3 4 6 7 9 11 10 9 7 10 8 2 3 9 11 7 6 8 9 9 5 8 13 11 7 8 7 4 2 1 1 3 3 8 17 15 4 -2 -0 16 16 2 -3 4 7 7 9 11 11 10 12 15 18 18 16 12 9 8 7 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 6 5 5 5 5 5 6 7 8 10 12 9 1 -3 -2 2 3 4 5 5 4 3 3 3 4 5 5 5 6 5 5 5 5 4 4 4 5 5 4 5 5 5 5 6 5 5 5 6 5 5 4 5 5 4 4 3 4 5 5 5 5 7 9 11 10 8 5 4 3 3 3 2 2 2 3 4 5 5 6 6 7 8 10 11 13 14 15 16 17 18 18 17 14 11 8 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 6 6 5 5 5 5 5 6 5 6 7 5 5 5 5 6 7 7 7 7 7 7 7 2 -5 -3 1 3 3 4 4 4 4 5 7 12 16 18 16 13 10 8 6 5 5 5 5 6 6 6 5 5 5 5 5 6 6 7 6 6 5 4 4 6 10 11 10 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 5 4 4 5 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 13 16 13 8 2 3 8 13 14 13 11 10 11 14 20 23 20 13 10 12 17 12 2 2 16 25 17 9 6 8 11 13 13 12 14 15 11 11 14 13 10 8 7 7 10 13 13 13 14 15 15 15 12 10 9 7 7 8 9 11 14 17 21 23 23 20 17 15 15 14 14 14 13 15 17 17 16 14 10 9 10 11 10 11 11 10 10 11 11 10 10 10 10 10 11 11 11 11 10 9 10 10 10 10 10 10 10 11 11 10 9 8 10 10 9 9 8 8 7 8 8 8 9 10 11 14 17 19 19 18 16 15 15 16 16 14 13 13 14 17 19 19 17 16 17 18 19 16 14 12 12 12 13 12 11 10 11 14 17 19 19 18 16 14 11 11 10 9 9 12 14 15 15 15 13 12 12 10 9 10 12 16 17 17 16 16 18 21 24 26 26 26 26 25 23 21 21 20 20 19 18 13 9 7 8 9 12 12 13 13 13 14 14 15 15 14 14 14 13 12 12 12 12 13 13 14 13 11 10 11 12 12 13 13 13 13 12 13 14 14 14 13 13 12 11 10 10 12 13 14 14 14 13 12 12 12 12 11 11 10 11 11 11 10 11 11 11 11 10 12 14 15 14 13 13 13 12 10 9 8 8 7 6 6 7 8 9 9 9 9 10 11 13 13 13 12 12 13 14 15 14 14 12 10 8 6 -0 -8 -2 9 13 15 16 15 12 11 11 11 12 12 12 12 11 11 12 12 12 12 12 11 12 13 14 16 16 15 14 11 11 12 12 12 12 12 12 11 8 8 8 8 8 9 10 10 11 12 12 12 12 12 12 13 14 14 14 12 11 14 17 16 14 15 18 17 15 13 9 4 3 6 10 14 15 16 17 17 17 17 15 15 16 20 23 26 25 24 22 23 25 23 15 9 9 12 13 12 11 9 7 5 6 9 13 14 11 9 7 7 9 11 11 11 10 11 11 11 9 9 9 9 9 9 10 9 9 8 9 12 13 14 14 12 9 6 6 7 9 12 11 11 11 11 12 15 18 18 15 12 12 13 14 15 12 11 12 12 14 14 11 10 10 9 9 9 10 10 10 10 11 11 11 10 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 13 13 13 15 17 18 20 21 19 15 0 6 25 21 11 11 21 19 9 6 3 3 6 11 16 16 14 10 8 10 12 12 10 8 8 9 10 12 12 11 12 14 15 14 12 11 11 12 13 15 17 18 19 21 23 20 18 15 13 13 14 15 15 15 17 18 17 17 16 14 10 7 7 8 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 9 9 10 10 10 9 9 10 10 10 11 10 10 10 10 12 14 16 15 13 12 13 14 15 14 13 13 13 14 14 15 17 18 18 19 19 20 19 16 14 14 15 16 15 14 13 14 15 18 19 18 16 15 15 12 11 10 9 9 9 10 11 12 14 14 15 15 13 12 10 12 16 16 15 15 15 16 19 21 18 16 19 22 23 23 21 22 25 26 25 21 17 13 11 10 10 9 8 9 11 13 14 14 13 12 13 14 14 14 13 12 12 13 14 13 13 12 11 11 11 11 11 11 12 11 11 11 12 13 14 14 14 13 12 12 12 12 13 14 14 14 14 12 12 12 11 11 11 10 9 10 10 10 10 11 11 10 10 10 12 13 14 14 13 12 12 12 13 12 11 11 10 8 8 8 9 10 10 10 10 9 10 13 13 13 12 13 13 14 14 14 13 10 6 1 0 4 3 7 12 14 15 13 11 9 7 8 9 10 11 12 12 12 11 11 11 12 12 11 11 12 13 15 16 16 15 13 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 13 13 13 13 13 12 14 16 15 12 14 20 19 13 9 6 2 1 7 13 14 15 15 16 16 17 17 16 15 16 18 23 26 25 24 22 24 26 23 16 14 11 10 9 9 10 10 8 5 4 5 9 13 11 11 11 11 13 13 11 10 10 11 11 11 10 10 10 10 11 13 12 11 9 9 10 13 15 14 12 10 10 10 10 11 13 13 12 11 12 12 13 16 16 15 11 10 12 13 13 12 11 12 13 14 13 12 12 11 10 9 9 9 10 11 11 11 11 12 11 10 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 15 7 -10 7 24 24 18 17 19 21 12 0 2 3 5 10 15 18 14 11 10 13 13 12 11 10 9 8 10 11 10 9 10 13 16 17 15 15 16 17 18 21 22 22 20 18 17 15 15 14 15 15 15 16 17 16 15 14 12 12 12 13 12 9 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 11 10 11 11 9 9 10 9 10 10 10 10 11 11 11 11 13 13 13 12 11 11 11 12 10 9 8 9 11 12 13 14 15 16 16 14 13 13 15 16 18 19 20 21 22 20 19 18 17 17 16 15 14 15 16 17 17 16 15 16 14 12 11 11 11 10 9 8 8 9 11 14 15 16 15 15 12 12 13 14 13 14 15 15 16 18 20 19 16 14 15 15 15 17 22 26 26 23 22 22 21 18 15 10 8 8 10 13 14 13 12 12 13 14 14 14 13 12 13 14 14 12 10 10 10 10 11 12 12 11 10 9 10 11 13 14 14 13 13 13 13 13 12 11 11 10 9 8 9 10 11 11 11 10 10 9 10 10 10 10 10 11 11 12 13 13 13 13 13 13 12 11 10 11 11 12 12 12 12 12 11 10 11 11 11 11 11 10 11 12 12 13 13 13 14 14 13 12 9 6 4 -2 -0 10 17 18 16 13 11 9 8 6 5 6 8 10 11 11 12 11 10 10 10 11 11 12 12 12 13 15 16 16 15 12 10 10 10 10 11 11 11 10 10 10 11 12 10 9 8 9 10 10 11 11 11 12 12 12 12 12 13 12 13 12 13 14 15 16 16 16 12 8 5 6 8 9 12 14 14 13 13 15 15 16 17 16 16 17 20 24 26 25 24 24 20 19 16 15 14 13 11 10 9 10 11 12 12 11 9 9 10 9 11 15 15 14 12 12 12 10 9 10 11 11 11 11 13 14 15 14 14 14 15 14 14 15 15 12 10 11 14 15 14 15 13 11 11 11 11 10 10 10 9 8 10 12 12 11 12 14 14 14 13 11 11 11 10 10 10 9 10 10 11 11 11 11 10 10 10 10 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 16 16 21 24 7 -1 7 10 10 9 11 11 9 12 15 17 15 14 13 12 11 9 9 9 9 8 10 12 16 17 18 19 20 20 19 20 19 17 14 13 13 14 16 17 17 17 17 15 14 13 11 10 8 8 10 13 13 9 7 8 8 8 8 8 7 6 6 7 8 9 9 8 7 7 8 10 11 11 11 12 13 13 13 14 14 12 12 12 11 11 11 10 10 10 10 10 10 11 12 13 12 12 13 12 12 10 9 9 10 12 13 13 13 15 16 16 15 13 12 11 10 11 12 14 17 19 20 20 20 19 17 16 16 17 17 18 18 15 13 13 13 12 12 12 12 13 13 12 10 9 9 11 12 12 14 15 15 14 12 11 10 11 12 13 12 11 11 13 17 18 18 17 14 13 11 13 16 17 20 24 28 29 27 23 18 15 14 13 14 14 13 14 14 14 14 14 14 15 15 14 14 13 11 10 10 10 11 12 12 12 12 12 12 12 12 13 14 13 13 13 12 12 12 11 11 11 10 9 8 8 10 11 12 12 11 11 11 10 9 9 10 11 11 11 12 13 14 14 13 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 14 14 14 15 14 11 8 5 4 6 8 12 17 19 17 13 10 9 8 8 7 6 7 8 8 9 11 12 11 9 9 10 11 12 12 12 12 13 13 15 15 14 12 11 10 11 10 10 11 10 10 10 11 11 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 13 12 13 15 16 17 17 15 13 9 7 7 11 14 15 15 14 13 12 14 14 15 16 17 17 17 18 22 27 28 26 24 21 18 14 13 14 14 15 14 13 12 11 10 12 15 14 13 12 13 12 11 13 15 14 14 14 12 11 10 11 11 12 11 9 11 13 13 13 13 15 14 13 14 14 14 12 12 13 14 14 14 13 13 12 11 11 11 12 11 10 7 10 13 13 13 13 13 14 14 12 10 10 11 11 10 10 10 9 10 11 11 11 11 11 10 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 12 11 8 9 14 17 16 15 13 12 12 11 10 9 8 7 7 9 12 15 17 20 21 21 18 15 13 12 11 10 10 13 16 17 18 17 15 15 13 11 9 7 7 8 10 11 12 11 8 8 7 7 8 8 7 7 7 7 8 9 11 10 9 8 8 9 10 12 13 13 14 15 15 15 16 16 15 15 14 14 13 13 12 12 11 11 11 10 10 11 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 13 12 12 11 10 9 8 8 7 7 9 12 14 15 15 15 16 16 19 21 22 22 20 16 13 11 10 11 12 13 13 15 15 13 12 11 11 11 10 10 10 11 12 12 11 11 10 9 10 10 11 11 10 10 11 13 15 16 16 15 14 13 12 12 13 16 19 25 28 28 25 21 19 17 16 15 14 14 16 16 16 17 17 18 17 15 14 13 12 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 12 12 11 10 10 11 11 12 13 14 12 10 9 10 12 12 11 11 11 11 11 12 13 14 12 11 11 11 10 11 10 9 9 9 8 8 9 11 11 11 11 12 14 15 14 13 13 14 16 16 15 11 9 8 8 10 11 13 15 15 16 14 12 10 9 9 9 8 8 9 9 8 9 10 11 10 9 9 10 11 12 12 12 12 12 12 13 14 13 12 12 12 11 10 10 9 9 10 11 11 10 8 8 9 10 11 11 11 11 12 12 12 12 12 12 12 13 12 12 15 19 18 16 13 12 12 11 9 10 13 13 14 14 14 13 13 14 14 15 15 16 17 18 18 21 27 32 28 23 20 17 14 12 13 14 14 14 15 15 14 13 12 13 14 14 13 14 15 14 15 14 15 16 16 14 12 10 9 9 10 10 8 11 14 14 12 9 10 9 11 14 15 14 12 11 11 11 11 11 11 12 12 11 12 15 17 16 13 11 13 15 15 15 15 15 14 13 11 11 10 11 11 11 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 12 11 10 10 8 8 7 8 10 12 14 16 17 18 17 16 14 11 11 12 13 16 16 14 13 13 13 13 13 12 10 6 7 8 10 11 11 9 7 7 8 9 8 9 9 8 7 7 8 9 10 12 12 11 10 9 10 12 14 15 16 17 17 17 17 17 17 17 17 17 16 16 15 14 13 13 13 13 12 13 12 12 12 12 11 11 12 12 13 14 14 14 13 13 13 12 12 11 11 10 10 9 9 9 8 8 9 10 11 11 10 11 13 16 19 22 23 21 19 16 13 12 11 11 12 12 13 13 13 13 12 12 12 12 11 10 9 9 11 11 10 11 11 11 10 10 10 12 12 11 10 10 12 18 21 18 16 15 13 13 13 13 14 18 21 24 24 23 21 19 17 15 14 15 16 18 19 23 26 24 19 17 14 12 10 10 11 13 14 14 13 13 12 11 11 11 12 13 13 12 12 12 12 11 10 10 9 9 9 10 10 9 10 11 10 12 13 12 11 11 12 14 15 14 13 11 11 11 12 13 12 12 11 11 11 11 10 10 10 10 9 8 7 9 11 12 12 13 14 15 17 16 14 14 15 16 16 13 11 11 13 16 16 15 13 12 12 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 11 12 12 12 12 12 11 11 12 12 12 12 11 11 11 10 10 10 9 10 10 10 8 8 9 11 12 12 11 11 11 12 13 13 12 12 13 13 13 11 12 16 18 15 10 8 10 12 11 11 11 13 13 13 12 13 14 14 14 15 15 16 16 17 17 18 22 27 30 28 22 19 17 16 15 15 15 14 12 13 14 14 12 11 11 12 13 13 14 14 15 14 15 15 15 15 13 11 11 10 11 11 11 9 12 16 14 11 9 9 11 13 14 14 13 12 11 10 11 11 11 12 13 12 13 15 17 18 18 16 16 16 14 14 15 16 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 18 23 23 18 16 14 11 9 8 8 7 7 7 7 7 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 5 4 3 2 1 0 0 1 2 4 4 4 4 6 6 7 7 6 6 6 6 6 6 5 5 4 5 6 8 8 8 6 5 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 8 8 5 1 0 0 1 5 18 36 60 72 56 52 64 73 71 48 16 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 2 11 22 38 59 99 120 128 140 148 153 144 131 125 125 127 128 131 134 141 159 157 124 105 79 57 46 42 46 58 64 63 64 64 65 68 72 76 82 88 89 88 92 95 96 96 103 114 123 120 107 102 109 126 144 154 154 149 145 142 129 98 61 40 37 46 60 65 57 43 30 22 20 26 36 45 51 55 58 61 62 64 63 61 54 45 38 45 64 85 97 93 90 85 78 72 66 52 24 6 5 4 5 12 24 32 31 28 22 5 0 0 0 0 1 4 12 12 8 3 1 0 7 34 69 98 118 127 122 112 104 90 65 43 31 23 24 33 37 31 27 25 23 17 9 6 11 20 33 50 67 75 80 92 110 139 163 166 167 175 191 201 195 187 188 191 190 185 182 182 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 18 21 22 19 16 14 11 9 7 7 6 6 5 7 8 8 7 6 6 5 5 4 4 4 3 3 4 4 5 5 5 5 4 4 4 5 5 6 5 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 5 4 3 1 0 0 1 3 3 3 3 4 5 6 6 6 5 6 6 6 6 6 5 4 5 7 8 8 8 7 6 5 5 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 2 8 18 20 11 4 1 1 1 0 1 9 23 33 39 33 17 21 37 48 45 22 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 1 8 19 31 46 77 107 126 142 137 145 146 128 118 114 117 124 125 124 130 154 165 136 111 75 47 28 23 28 42 49 50 50 50 52 54 59 63 69 77 84 86 89 94 97 98 100 109 122 126 120 112 110 112 118 128 136 141 146 153 151 139 123 106 97 97 100 98 91 77 61 49 44 50 60 68 73 73 70 67 63 59 57 56 54 50 47 55 74 94 108 117 120 111 94 82 75 66 43 11 2 1 1 2 4 8 2 11 17 5 0 0 0 0 0 0 4 6 4 1 0 0 2 10 40 72 95 113 121 123 122 114 98 79 56 46 50 56 55 58 62 62 59 51 43 42 50 56 72 92 105 106 104 109 118 131 154 166 168 174 184 187 179 176 178 182 179 172 168 169 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 20 19 19 20 19 18 16 13 10 8 6 6 5 5 6 8 8 8 7 7 6 5 4 5 4 3 2 2 3 4 4 5 5 5 4 4 5 5 5 4 3 5 6 7 7 7 6 6 6 7 7 6 6 5 5 4 5 5 5 6 7 7 7 6 5 3 2 2 2 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 4 5 5 6 6 7 7 7 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 7 16 33 42 36 26 20 15 9 2 0 4 12 15 13 7 1 2 6 12 13 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 4 12 21 32 52 79 102 120 109 122 141 131 115 105 108 116 117 112 115 140 163 145 107 70 40 20 13 16 28 36 39 40 42 44 46 48 52 57 65 74 79 83 90 97 101 103 110 121 129 129 124 120 116 113 115 121 126 134 145 152 150 150 152 146 138 134 129 125 117 104 91 86 87 90 89 86 80 72 62 54 52 54 56 58 59 62 73 89 106 114 116 118 108 92 78 73 68 56 31 13 6 4 6 5 8 11 8 12 6 2 0 0 0 1 0 1 2 1 0 0 0 0 2 23 56 82 101 114 124 128 124 114 99 85 77 77 83 92 100 107 107 99 85 74 84 91 98 101 110 117 120 114 111 112 120 140 157 163 166 168 167 165 167 170 173 171 163 157 159 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 23 21 19 18 19 19 17 15 12 9 7 6 6 6 7 7 7 7 7 7 7 6 5 5 5 4 2 2 2 2 3 4 5 5 3 3 4 5 5 4 2 3 5 6 7 7 7 6 6 6 7 7 6 6 5 3 3 3 4 5 6 5 5 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 6 6 6 6 6 5 5 4 4 3 4 4 5 6 7 7 6 4 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 9 13 21 40 56 58 49 36 24 12 2 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 1 5 11 18 31 47 64 82 91 106 122 123 108 94 96 106 111 110 114 130 149 138 93 55 32 17 9 8 17 27 32 34 38 41 42 44 47 50 55 63 70 73 81 90 99 107 115 121 123 122 120 117 115 116 118 120 121 124 130 139 144 149 154 149 142 140 140 141 141 135 126 123 121 113 103 92 80 70 61 54 52 53 54 54 55 60 74 94 114 116 111 106 93 73 57 53 60 64 51 30 15 10 13 15 17 18 19 18 10 2 1 4 6 3 0 0 0 0 0 0 0 0 4 20 53 80 97 108 118 128 133 132 124 115 107 100 107 120 133 140 137 128 108 90 92 104 108 110 115 119 120 116 112 112 121 137 149 154 153 149 146 148 156 161 166 166 158 151 151 153 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 26 23 20 19 18 18 16 14 12 10 9 8 7 6 6 5 5 6 7 8 8 8 6 5 5 5 4 3 2 2 2 3 4 4 2 2 2 4 5 4 4 3 4 5 6 7 7 6 6 6 6 6 6 6 5 4 3 2 2 3 3 3 3 3 4 4 4 5 6 6 6 6 6 5 5 4 4 4 5 5 5 4 4 4 4 4 3 3 4 4 4 4 6 8 7 5 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 14 23 28 41 56 58 45 31 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 2 7 14 23 33 46 63 78 89 96 89 78 78 88 98 102 106 114 120 114 79 41 19 10 5 3 9 20 29 35 39 41 40 40 42 45 50 58 65 69 73 80 90 104 115 120 117 109 101 99 104 112 121 128 129 130 130 127 127 128 130 129 128 130 134 136 134 130 125 122 120 114 104 94 82 72 64 58 52 47 43 38 37 42 55 84 110 107 98 90 77 54 37 33 46 66 68 51 31 18 18 20 22 27 30 29 22 9 3 4 3 0 0 0 0 0 0 1 2 1 3 14 46 76 96 106 114 125 140 149 145 136 122 113 120 130 142 152 149 140 125 113 106 106 107 109 112 113 112 111 111 116 127 139 146 146 142 135 129 132 141 148 154 156 148 137 134 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 26 25 22 20 17 15 13 11 10 10 10 9 7 6 5 4 3 3 4 6 8 9 8 6 5 4 5 5 4 3 2 2 2 2 2 1 2 4 5 5 5 4 3 3 4 6 6 6 6 6 6 6 6 6 6 5 4 3 2 2 2 2 3 3 3 3 3 4 6 6 6 6 6 6 5 3 1 2 3 3 2 2 2 2 3 3 3 4 4 4 4 4 5 6 7 6 5 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 4 6 9 15 23 23 30 50 54 38 26 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 20 30 40 49 56 56 52 51 56 63 68 74 80 77 70 56 32 13 4 2 1 5 17 29 38 44 44 42 39 37 39 43 53 63 70 76 81 87 97 110 118 113 100 88 84 88 92 102 116 128 136 137 132 125 118 114 113 114 118 122 123 120 114 109 107 104 102 103 99 91 81 70 59 48 37 29 22 21 27 39 73 104 104 88 73 59 43 31 28 38 56 68 63 46 28 19 18 21 28 37 41 39 29 15 5 1 1 1 2 2 1 1 5 7 3 0 5 27 56 82 97 107 118 134 148 149 140 124 115 126 142 156 162 154 142 133 131 127 115 104 101 102 101 97 98 103 109 119 130 135 136 134 129 121 120 125 130 135 135 125 112 112 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 19 22 24 24 21 18 15 11 9 8 8 8 8 6 5 4 5 3 2 2 4 6 8 8 7 5 5 5 6 6 5 4 2 1 1 0 0 0 2 4 5 5 5 3 2 2 3 4 5 5 5 5 6 6 6 6 6 6 5 4 3 2 2 2 2 2 2 2 3 4 6 6 6 6 6 5 3 0 0 0 1 0 0 0 1 1 1 2 3 4 4 5 5 4 4 6 7 6 4 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 4 8 15 22 30 38 36 36 51 58 48 33 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 16 20 22 24 24 21 19 19 22 20 18 20 22 20 12 6 2 0 1 4 14 29 41 47 49 48 45 41 37 37 44 54 65 76 88 93 96 104 111 107 96 84 78 71 64 64 75 94 114 128 130 124 118 113 107 106 108 111 112 113 115 114 113 111 109 110 107 99 88 76 60 43 28 20 16 20 27 43 75 101 101 81 59 44 34 29 29 32 42 51 54 47 33 22 20 22 30 37 42 48 53 50 30 13 3 3 7 15 14 12 9 14 8 2 2 11 27 51 72 88 100 113 130 142 138 127 123 133 151 168 170 157 142 138 141 140 126 107 98 95 89 86 90 98 105 112 118 120 121 125 125 119 116 115 115 115 111 100 91 91 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 16 20 23 23 21 17 12 8 5 4 4 4 3 3 4 6 6 3 1 1 2 5 7 7 6 6 6 7 8 7 6 3 1 0 0 0 0 1 3 4 5 4 4 2 1 1 2 2 3 4 5 5 5 5 6 6 6 6 5 4 3 3 2 2 2 2 2 2 2 4 5 6 6 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 4 4 5 5 4 4 5 6 7 5 3 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 1 1 6 18 27 26 27 37 38 44 58 65 59 42 17 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 5 6 5 3 2 2 1 0 0 0 1 1 1 1 2 3 6 14 26 39 47 50 51 52 49 44 40 42 46 54 67 83 96 102 110 114 108 99 90 79 63 48 39 38 48 62 77 90 93 91 90 90 90 93 97 100 105 112 121 122 121 120 117 111 101 90 73 51 31 20 21 28 38 49 65 89 103 93 68 44 30 24 23 23 22 22 26 33 37 36 32 31 34 39 45 46 50 63 74 70 40 16 4 6 15 28 37 39 32 17 6 2 3 8 18 36 54 68 83 99 114 121 124 130 140 154 167 169 158 146 142 143 135 120 103 92 86 76 73 80 90 101 109 112 111 111 116 119 117 113 109 107 103 96 84 74 73 81 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 10 15 19 22 23 21 16 10 5 3 1 1 0 1 3 6 8 6 2 1 1 2 4 5 5 6 7 7 8 7 6 5 3 2 1 0 0 1 2 3 4 4 4 2 0 0 0 1 1 2 3 4 4 4 4 5 6 6 6 5 4 3 2 2 2 2 2 2 2 2 4 5 6 6 6 6 5 3 1 1 0 0 0 0 0 0 0 2 2 4 4 4 4 5 5 6 6 6 5 2 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 26 17 12 24 41 54 62 64 59 38 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 10 15 22 31 38 43 48 52 53 50 46 45 47 50 57 67 78 97 121 129 120 110 105 92 68 52 40 33 30 31 33 34 40 46 49 54 60 67 76 85 94 102 111 116 115 114 110 106 99 83 58 32 17 18 31 49 66 80 91 103 102 82 53 30 19 16 16 16 14 15 15 18 24 29 32 35 42 49 52 49 46 52 65 70 52 22 5 2 5 15 34 47 41 24 8 1 0 2 5 12 21 32 46 66 82 94 109 122 135 147 158 160 152 143 137 134 120 100 88 80 73 65 63 68 77 90 101 106 106 106 109 113 113 109 105 102 98 89 77 66 64 71 81 nan nan nan nan nan nan nan nan 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 10 14 18 21 22 20 14 8 4 2 1 0 0 3 6 8 7 5 2 2 2 2 3 4 4 5 6 6 5 4 5 5 5 3 2 2 2 2 3 4 4 4 3 1 0 0 0 0 0 1 1 2 2 3 4 4 5 5 5 5 4 3 2 2 2 3 3 2 2 2 4 6 6 6 6 6 4 3 2 1 0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 5 6 6 4 0 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 12 4 1 9 10 8 15 27 44 51 51 51 46 26 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 17 18 18 19 21 25 29 34 42 49 50 44 38 39 42 47 54 58 60 78 111 123 116 115 124 118 91 75 62 48 36 29 26 22 21 24 26 28 32 38 47 60 77 92 102 107 106 100 96 96 89 64 33 14 11 20 35 54 75 90 96 94 84 62 38 21 14 12 11 11 10 11 10 12 13 16 21 26 31 43 50 47 37 34 46 53 45 24 7 1 0 4 20 38 39 25 9 1 0 0 1 3 6 10 18 34 57 75 88 100 111 121 131 131 126 122 117 112 100 86 76 72 66 60 56 56 63 76 88 94 96 96 100 103 103 101 98 95 91 82 71 64 62 66 72 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 7 8 9 11 15 19 21 19 13 8 5 3 2 2 4 6 7 7 7 5 4 4 3 2 2 3 3 3 3 2 2 3 5 7 7 5 4 4 4 3 4 4 4 3 2 1 0 0 0 0 0 0 1 1 2 2 2 3 4 5 5 5 4 2 2 2 2 3 3 2 3 4 6 6 6 6 6 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 2 4 4 4 5 6 5 2 0 1 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 1 0 0 1 17 27 20 8 2 2 6 12 14 19 28 32 38 33 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 20 27 32 33 31 28 27 26 30 39 45 40 31 28 28 30 36 47 60 66 72 89 90 81 94 121 134 125 110 92 65 41 31 30 30 30 29 28 26 24 23 25 32 49 72 93 101 98 89 85 88 74 35 8 4 9 16 26 40 58 70 73 68 57 41 24 14 10 7 7 9 9 9 8 8 10 13 17 22 29 38 46 44 34 26 33 43 39 21 6 1 0 3 13 26 31 25 12 4 0 0 0 0 1 3 8 19 34 52 65 74 81 87 92 93 90 87 86 83 78 74 72 71 67 59 51 47 50 60 70 76 79 81 86 90 89 85 84 83 79 70 60 55 55 55 54 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 7 7 7 7 9 12 17 21 18 12 8 6 5 4 4 5 6 7 8 8 6 6 4 3 2 2 2 2 1 0 0 1 3 7 9 9 7 6 6 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 1 1 1 1 2 4 4 5 4 3 2 2 2 2 3 3 4 4 5 6 6 6 6 6 6 4 4 5 4 3 1 0 0 0 0 0 0 0 0 0 2 4 3 4 5 5 4 2 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 29 31 24 8 2 3 4 3 3 15 24 32 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 9 9 10 8 17 26 34 43 50 50 44 41 38 37 40 42 36 30 29 28 26 28 37 57 77 81 70 56 50 71 104 130 141 136 112 73 40 28 31 36 38 34 29 24 19 17 16 19 27 46 72 88 88 83 85 88 60 16 1 2 6 8 10 19 33 43 48 46 39 28 16 8 4 2 3 6 9 10 11 12 13 17 21 26 33 38 41 38 32 24 24 30 32 22 8 0 0 1 6 14 19 17 11 7 2 0 0 0 0 0 4 14 24 34 44 50 55 57 56 55 53 57 61 62 63 69 74 75 69 57 46 40 39 42 48 53 57 63 70 75 74 70 68 68 64 56 49 46 43 40 35 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 7 7 7 6 6 7 10 16 19 16 12 9 7 5 4 4 5 7 9 9 9 8 7 4 2 2 2 2 1 1 0 0 2 5 8 8 8 8 6 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 3 3 2 2 2 2 3 3 4 5 5 6 6 6 6 6 6 5 4 5 5 3 2 0 0 0 0 0 0 0 0 1 3 3 2 2 4 5 3 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 43 38 29 12 2 0 0 0 1 8 18 24 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 29 43 47 46 39 32 33 36 42 51 56 58 54 51 50 50 46 41 36 34 34 32 29 29 35 57 81 78 52 37 42 68 93 113 127 126 101 60 31 26 34 41 38 28 16 9 6 6 8 11 17 28 50 74 80 83 88 87 47 5 0 0 1 1 2 5 14 25 33 33 27 17 9 4 2 1 1 3 6 11 16 19 20 24 28 30 33 34 34 31 26 22 17 17 22 22 11 0 0 0 1 4 10 7 5 8 4 1 0 0 0 0 1 5 12 20 27 33 37 40 41 41 44 49 55 60 67 75 80 80 70 55 42 34 30 27 27 28 32 42 52 58 59 56 54 52 49 44 39 36 31 26 22 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 6 8 8 7 6 5 5 8 14 16 15 12 9 7 5 4 4 6 7 8 9 9 8 6 4 3 3 3 2 1 1 0 1 3 6 6 7 7 7 5 4 4 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 2 2 2 2 2 2 3 4 5 5 6 6 6 6 6 6 5 4 4 5 5 4 2 1 0 0 0 0 0 0 1 2 1 1 2 4 4 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 3 32 32 16 3 0 0 1 2 7 10 14 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 0 0 0 0 0 7 31 58 76 83 77 69 63 60 58 61 58 50 48 45 46 53 57 49 43 42 37 29 25 27 37 64 82 64 34 31 53 81 95 99 101 89 62 34 22 27 39 43 30 14 5 1 0 0 1 4 9 19 34 54 70 83 87 80 31 1 0 0 0 0 0 1 3 8 16 19 15 9 6 6 6 5 3 2 4 8 14 21 25 30 35 34 28 24 23 22 19 16 14 12 14 18 10 1 0 0 0 1 2 1 2 7 6 1 0 0 0 0 0 1 3 8 15 20 23 28 33 37 42 48 53 61 74 84 85 81 70 54 39 31 24 19 16 16 20 29 37 42 44 44 43 40 35 30 26 24 19 16 14 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 3 3 4 6 7 8 8 6 4 4 5 8 12 13 13 10 8 6 4 3 4 5 6 8 8 8 7 5 3 3 3 2 2 1 1 1 2 4 5 6 7 7 5 3 2 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 5 6 6 6 6 5 5 5 7 8 4 3 2 1 0 0 0 0 0 1 1 0 1 3 4 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 14 2 0 0 0 2 3 5 9 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 2 5 6 6 3 0 0 0 2 14 28 45 63 82 93 91 87 83 72 67 64 54 44 38 40 54 65 62 56 51 36 23 20 27 45 72 79 53 29 44 84 105 97 85 72 46 21 14 20 32 40 32 12 0 0 0 0 0 0 0 3 11 23 39 62 74 75 68 25 2 0 0 0 0 1 0 0 1 2 5 4 5 7 12 16 16 13 10 8 10 13 17 22 28 33 30 23 17 15 14 14 12 11 10 12 14 5 1 0 0 0 0 0 0 1 8 10 4 0 0 0 0 0 0 0 2 5 9 11 14 18 24 30 36 43 51 65 75 77 73 66 54 39 28 20 16 15 16 20 24 28 32 34 34 33 29 23 17 13 13 13 12 10 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 3 3 4 5 6 8 8 7 5 4 4 5 6 8 10 10 9 7 5 4 3 3 4 5 6 7 7 6 4 4 4 3 2 1 1 1 1 3 5 6 6 6 6 4 2 1 2 2 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 1 2 2 2 2 3 3 4 6 6 6 6 5 5 6 7 8 7 6 3 2 1 0 0 0 0 0 0 0 2 4 4 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 1 6 3 8 6 2 0 0 0 0 1 1 2 4 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 6 1 0 0 5 22 28 34 42 56 71 77 78 78 69 61 62 68 58 48 50 64 76 74 66 54 36 20 19 33 54 71 70 52 46 76 109 105 76 56 38 15 2 5 16 29 30 15 3 0 0 0 0 0 1 2 3 8 19 38 57 56 52 48 23 5 0 0 0 0 0 0 0 0 0 0 1 3 7 14 24 31 34 33 31 28 26 23 22 25 30 28 22 15 12 11 12 12 12 13 15 15 4 0 0 0 0 0 0 0 1 8 13 7 1 0 0 0 0 0 0 0 1 2 4 5 6 8 13 18 23 32 44 53 57 58 56 51 40 30 22 19 18 20 22 24 24 25 26 27 25 21 14 9 8 8 8 8 6 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 3 3 3 4 6 7 9 9 8 6 6 5 4 5 7 8 9 8 6 4 4 4 4 4 4 6 7 6 5 4 4 4 2 1 1 1 1 2 3 4 5 5 6 6 4 2 1 1 2 3 4 3 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 4 6 6 6 5 5 5 6 6 7 7 6 5 3 2 1 0 0 0 0 0 0 3 4 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 17 12 14 8 3 1 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 1 3 3 0 0 0 1 10 24 27 30 38 49 54 56 58 57 51 52 69 77 72 74 84 90 83 71 57 40 25 22 33 48 55 55 58 77 101 97 64 34 20 11 3 0 1 7 14 12 3 0 0 0 0 0 0 3 8 14 20 28 39 43 35 30 26 14 4 1 0 0 0 0 0 0 0 0 0 0 2 4 10 19 31 42 51 55 54 49 45 40 36 37 34 29 23 16 13 14 14 15 19 22 19 9 2 0 0 0 0 0 0 1 6 9 6 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 6 8 14 24 32 36 40 43 43 39 34 30 26 24 22 22 22 21 19 20 20 18 14 8 5 4 4 4 3 2 0 nan nan nan nan nan 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 5 7 8 10 12 11 8 6 5 3 3 5 6 8 8 6 5 4 4 4 4 4 5 7 7 6 5 4 4 4 3 2 2 2 1 2 2 3 4 5 6 6 3 1 0 1 2 3 3 3 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 4 5 5 5 5 5 5 6 6 6 6 4 4 2 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 24 21 14 9 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 18 21 27 40 48 50 51 49 44 42 52 67 78 89 97 96 84 72 60 47 34 28 31 37 39 42 56 81 90 61 25 5 1 0 0 0 0 1 3 1 0 0 0 0 0 0 1 6 11 21 32 36 32 25 19 15 12 6 2 0 0 0 0 0 0 0 0 0 0 0 2 4 8 13 20 30 43 52 62 66 69 68 65 60 56 51 44 35 27 24 20 19 24 32 30 16 4 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 15 18 23 29 33 35 35 34 30 24 20 18 17 16 13 12 12 11 7 3 1 1 0 1 1 0 0 0 nan nan nan 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 0 1 4 7 9 10 11 12 11 8 5 4 3 4 5 7 7 6 4 3 3 4 5 5 6 6 7 7 5 4 4 4 4 4 3 2 2 2 2 2 3 4 5 6 4 2 0 0 1 1 2 2 2 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 1 1 2 2 2 2 4 4 5 5 5 5 5 5 6 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 22 8 7 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 15 17 32 48 55 55 49 40 33 32 44 59 75 85 86 78 68 60 51 42 35 32 32 32 30 35 42 39 24 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 14 24 26 19 13 10 8 6 4 1 0 0 0 0 0 0 0 0 0 0 1 2 5 9 13 19 25 31 41 56 68 81 90 93 89 83 78 72 62 52 42 34 29 30 38 40 28 10 2 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 11 17 22 27 30 30 25 18 12 9 9 8 6 4 5 5 3 1 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 2 5 7 7 9 11 12 11 8 5 3 3 5 6 6 5 3 2 2 4 5 5 6 6 6 6 4 4 4 5 5 4 4 3 2 2 2 2 2 3 4 5 5 3 1 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 4 5 5 6 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 21 6 3 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 13 18 32 49 55 49 38 28 19 20 35 52 63 68 66 59 52 48 45 40 34 28 22 16 13 13 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 6 5 6 7 7 5 3 2 0 0 0 0 0 0 2 3 5 6 5 3 2 5 9 13 20 26 31 36 42 53 69 86 99 104 101 95 87 78 70 59 48 40 37 38 40 35 21 6 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 12 15 19 20 16 10 4 2 3 4 2 1 2 2 1 0 0 0 0 0 0 0 0 0 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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39 44 48 50 48 48 54 64 74 80 82 82 78 73 69 65 59 51 40 31 25 20 18 16 14 9 2 2 7 23 34 36 37 38 37 38 41 38 30 23 21 19 16 15 15 17 18 17 20 25 30 36 40 41 40 39 39 39 37 38 37 29 19 15 14 16 16 17 18 19 19 18 17 14 9 5 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 15 17 8 2 0 1 0 1 2 3 4 4 4 4 4 4 3 4 4 4 4 4 3 2 0 0 0 3 5 3 1 0 1 2 2 3 4 3 3 3 4 5 5 6 6 6 5 4 3 2 1 2 7 10 9 8 8 8 8 8 10 12 13 14 12 8 6 7 7 7 7 7 8 9 13 19 26 31 30 23 10 7 9 10 9 9 8 7 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 12 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 6 7 7 6 6 6 7 8 8 8 8 8 7 7 7 6 4 3 2 2 3 4 6 7 8 9 10 11 11 12 11 11 11 11 10 10 10 10 11 13 15 18 20 21 22 24 24 25 25 24 23 22 20 18 13 8 6 6 7 7 7 7 8 8 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
37 42 46 47 44 44 46 51 59 67 76 83 87 83 78 72 69 66 58 49 38 28 25 24 22 18 10 7 9 18 30 36 42 49 48 42 41 38 31 23 22 23 21 18 18 20 22 20 20 24 27 32 39 41 40 40 40 40 38 37 34 27 15 14 15 16 16 16 18 19 19 19 18 17 15 10 7 4 4 4 4 4 5 5 5 4 4 3 4 4 5 6 5 4 2 3 3 4 3 3 3 3 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 22 22 10 2 1 1 0 1 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 0 0 0 1 4 4 3 1 1 1 1 3 3 3 3 3 3 4 5 5 6 6 6 4 4 3 2 2 7 12 12 9 9 9 8 9 11 12 14 15 14 14 11 9 9 8 8 7 8 10 14 19 23 26 29 27 16 8 9 10 10 10 8 7 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 1 4 9 11 6 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 5 6 7 7 7 6 7 8 9 9 8 8 8 7 7 6 6 4 2 2 3 4 5 6 7 7 8 9 9 10 11 11 11 11 11 11 10 10 11 12 14 17 21 24 26 27 28 27 27 26 25 23 20 17 11 7 6 7 7 8 7 7 7 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
31 34 36 37 35 35 36 37 41 50 62 75 87 91 87 79 74 71 70 68 62 51 39 31 29 28 25 21 19 20 24 30 41 52 54 43 38 38 32 25 21 24 24 21 21 22 24 25 25 25 26 30 44 46 43 42 42 42 41 38 34 28 15 12 15 16 16 16 17 18 19 19 19 18 17 14 11 8 6 4 4 4 4 5 5 5 4 4 5 6 6 6 6 5 3 3 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 23 30 28 21 11 4 3 2 1 2 3 4 4 4 4 4 4 3 2 2 2 2 2 3 2 2 1 0 0 0 2 4 3 2 1 1 1 2 3 3 4 3 4 4 4 4 5 6 5 3 2 3 3 2 5 12 14 12 11 11 11 11 13 14 15 15 15 14 14 12 11 10 9 8 9 11 15 19 20 19 21 23 18 8 9 10 10 10 9 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 1 0 0 0 0 0 1 5 10 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 5 6 8 8 7 7 7 7 7 8 7 7 8 7 6 6 6 4 2 2 2 2 3 4 5 6 6 7 8 8 9 10 10 10 10 11 10 11 12 12 13 14 18 21 23 25 25 25 25 25 24 21 17 13 6 6 7 7 7 7 7 7 6 5 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 24 26 27 26 25 24 24 26 34 46 61 75 89 92 86 79 75 74 76 77 73 59 42 34 34 38 37 33 27 22 21 30 46 57 52 40 37 36 29 22 20 22 24 26 26 27 28 27 27 29 33 53 57 43 41 41 42 41 39 37 31 18 12 14 16 15 14 16 18 18 18 19 18 18 16 13 11 9 6 4 3 4 5 5 5 5 6 6 6 6 6 6 5 4 3 4 4 4 4 4 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 20 36 43 41 32 20 6 4 5 4 2 2 3 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 1 1 1 1 2 3 3 3 2 2 2 2 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 6 12 15 15 15 15 14 14 11 11 13 14 15 14 12 11 11 10 9 10 13 16 16 13 9 9 14 14 7 9 10 10 9 8 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 1 8 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 4 4 5 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 4 3 2 2 2 2 2 3 4 5 6 8 8 8 9 9 10 10 11 12 13 14 14 14 14 15 17 18 20 22 25 25 24 21 17 12 8 6 6 7 7 7 8 8 7 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 17 19 20 21 19 18 18 19 24 35 48 61 78 88 85 81 77 76 78 82 83 76 60 45 37 41 46 43 36 27 20 22 37 54 59 50 41 38 35 26 16 17 21 29 32 32 31 29 28 30 38 56 59 43 39 38 38 38 38 39 35 24 14 13 15 14 13 16 17 17 18 18 18 18 18 17 14 11 10 9 6 4 4 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 5 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 23 35 40 38 31 22 6 5 5 4 3 3 4 4 4 4 4 3 3 4 3 3 2 2 3 3 5 4 3 3 3 3 3 2 3 2 2 2 3 4 4 4 5 5 5 4 5 5 5 5 5 4 5 5 5 4 3 4 7 12 17 17 17 16 10 4 2 5 6 10 12 14 14 14 13 12 14 16 15 10 4 3 3 6 6 7 8 8 7 7 7 6 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 5 5 6 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 4 4 3 2 2 2 2 3 4 5 6 8 9 9 10 10 12 13 14 15 15 15 14 15 15 16 16 18 22 24 25 23 20 12 8 7 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 14 16 18 18 16 14 14 17 22 31 40 50 63 75 75 73 75 78 81 86 90 87 78 62 48 43 44 44 41 36 28 23 30 49 62 59 48 41 39 34 21 14 16 28 39 40 34 30 29 32 42 55 54 44 40 38 36 36 36 38 39 31 19 13 14 14 13 14 17 17 17 17 17 17 17 17 17 15 12 10 9 7 5 4 5 6 6 6 6 6 6 6 6 7 7 7 6 5 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 4 3 1 0 1 4 11 19 24 21 17 13 8 5 5 4 3 4 4 5 5 4 4 4 3 4 4 3 3 3 3 4 6 5 4 5 5 5 4 3 3 2 2 3 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 7 13 16 17 15 8 2 2 2 1 2 3 6 11 14 16 17 20 17 10 5 3 3 3 4 6 7 8 7 6 6 6 6 6 6 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 8 7 7 7 8 8 8 8 8 7 7 7 6 5 5 4 5 5 5 6 6 6 6 5 4 4 3 2 3 3 4 6 7 8 9 10 10 11 12 14 14 14 14 14 15 16 17 18 19 22 23 23 21 18 12 8 7 7 7 7 6 6 7 8 9 8 7 7 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 14 15 16 16 15 15 16 21 26 33 40 46 54 60 59 54 60 71 77 85 92 92 88 80 65 52 45 42 41 41 37 31 30 41 57 62 55 46 43 41 30 16 14 21 33 36 32 30 34 42 51 50 46 44 43 40 38 35 35 37 40 38 25 15 13 12 12 13 16 17 17 16 16 17 17 17 18 18 16 13 11 10 8 6 4 5 6 6 6 7 7 7 7 7 7 8 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 5 4 2 0 0 0 3 7 9 9 7 6 5 5 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 6 5 4 3 3 3 4 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 6 6 6 5 4 4 7 10 14 13 8 4 4 4 4 3 2 1 3 7 10 14 16 12 6 4 4 4 3 3 5 7 7 6 5 4 5 5 5 5 5 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 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 8 8 8 9 9 8 8 9 8 8 7 7 6 5 4 4 4 4 5 5 6 6 6 6 6 6 5 4 4 5 6 7 7 8 9 10 10 11 12 13 13 12 13 14 16 17 19 20 21 22 22 20 19 16 11 7 6 6 6 7 6 6 6 8 9 8 7 6 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 13 14 17 18 18 19 21 26 33 39 46 50 53 53 48 40 43 57 68 75 87 91 91 90 80 67 55 45 41 41 42 39 34 36 46 55 56 51 47 48 40 24 16 16 21 25 28 33 46 56 58 44 40 41 41 39 38 36 34 35 39 40 33 18 13 12 11 12 14 16 17 16 16 16 16 17 17 18 18 18 15 13 12 10 6 4 5 6 7 7 7 7 7 7 7 7 8 6 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 4 3 2 3 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 6 6 5 4 3 4 4 4 4 4 4 4 4 5 5 6 6 5 5 4 4 4 4 4 4 5 5 4 4 3 2 4 7 7 6 6 6 6 6 5 4 4 3 3 4 5 6 6 4 4 5 4 4 4 5 6 6 5 4 3 4 4 5 6 5 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 2 1 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 9 9 8 8 8 9 8 8 8 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 9 10 11 11 11 11 13 13 12 12 14 16 18 21 22 22 23 22 20 17 15 14 10 6 6 6 6 6 6 6 6 8 9 8 8 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 14 16 21 23 24 24 27 32 39 46 52 57 58 56 51 42 42 50 58 65 77 87 89 91 88 82 69 56 46 42 44 45 40 36 38 44 52 55 53 53 50 36 22 17 18 21 26 35 50 60 58 44 37 37 37 38 40 38 35 35 37 40 37 24 14 12 11 11 13 15 16 17 16 16 16 16 16 17 17 16 16 16 15 14 10 6 5 6 6 7 7 7 6 7 8 7 8 5 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 3 3 2 3 3 3 4 4 4 4 4 3 2 2 2 3 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 5 4 3 3 3 4 4 3 3 2 1 1 2 4 5 6 7 7 7 7 6 6 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 2 6 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 9 10 12 14 14 14 14 13 13 14 14 15 17 20 22 24 23 22 20 18 15 11 9 9 7 6 6 6 6 7 7 7 8 9 9 8 7 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 14 20 26 30 31 30 33 40 46 52 58 63 64 62 60 56 52 55 61 67 76 84 86 88 90 85 75 72 61 49 46 48 46 40 37 39 45 54 58 57 54 46 34 22 18 20 24 31 43 52 51 48 39 35 35 36 40 39 35 34 36 39 39 31 19 13 12 11 12 14 16 17 17 17 16 16 15 16 16 16 15 15 15 15 14 9 5 5 6 6 7 6 6 7 8 8 6 4 3 3 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 2 3 4 4 4 4 4 3 2 1 0 1 2 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 6 9 9 7 4 3 3 3 3 2 1 0 0 1 2 4 5 6 7 7 7 7 7 6 6 5 5 5 4 5 4 5 5 4 3 3 2 3 3 2 1 1 1 2 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 1 0 2 4 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 6 6 7 7 8 9 9 10 12 14 17 19 18 17 18 17 17 17 18 19 21 23 23 19 17 15 13 10 7 6 6 6 6 6 6 6 6 7 7 8 9 8 7 7 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 14 20 28 37 42 41 43 49 53 58 61 65 66 65 64 63 62 63 69 75 80 83 82 82 85 80 70 74 76 66 55 50 48 44 39 37 41 50 58 59 57 53 45 32 24 22 23 26 33 42 47 45 41 36 34 34 37 38 36 33 34 37 39 35 26 16 13 13 12 13 16 17 18 18 18 17 16 15 15 16 16 14 14 15 16 13 7 5 5 6 6 6 7 8 9 8 5 3 3 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 1 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 2 3 4 4 4 4 4 2 1 1 0 0 1 2 3 4 4 4 4 4 3 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 10 18 22 16 9 5 5 7 8 8 5 4 2 2 2 3 4 5 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 2 1 0 1 1 1 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 1 4 2 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 1 2 3 4 6 7 8 8 9 9 8 8 8 8 9 10 11 11 10 9 9 9 9 10 11 12 13 13 15 18 21 24 24 23 21 22 23 22 21 22 22 22 20 16 11 9 9 8 7 6 6 7 6 6 6 6 6 6 7 7 7 7 6 6 6 7 7 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 13 17 30 46 55 54 51 54 57 61 63 64 64 64 63 63 65 67 70 74 78 80 77 74 76 77 70 68 76 85 77 62 54 48 40 37 39 46 53 58 59 58 52 43 33 25 22 23 26 32 38 42 43 39 35 34 35 38 39 35 32 33 37 38 31 20 13 12 13 13 14 16 18 19 19 18 17 15 14 13 13 13 13 14 16 17 11 5 5 6 6 6 7 8 9 8 6 3 2 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 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 2 3 3 4 4 3 1 0 1 1 0 1 2 2 3 4 4 3 3 3 2 2 2 2 3 4 4 4 4 5 5 6 5 4 4 4 4 5 6 7 7 11 21 27 23 14 9 11 16 21 23 21 17 12 8 4 3 4 4 6 7 7 7 7 7 7 6 6 6 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 2 0 0 0 0 0 1 3 4 6 7 8 9 8 8 8 9 10 12 13 13 13 13 14 14 15 17 18 18 17 19 23 25 26 26 25 23 25 25 25 25 24 23 21 16 10 6 6 7 7 7 6 6 7 7 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 15 17 33 54 64 62 57 54 56 60 64 65 65 66 67 68 68 67 67 67 69 73 73 70 68 71 72 72 72 79 86 81 70 56 42 37 39 44 49 54 58 59 57 51 42 32 24 22 24 28 34 40 44 42 38 35 36 38 40 38 34 33 35 38 34 23 14 12 13 14 14 15 17 18 19 19 19 16 14 12 12 12 13 14 16 17 13 6 5 6 6 6 7 8 8 8 6 3 2 2 3 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 4 1 0 0 1 2 2 2 2 2 3 3 3 3 3 3 2 2 2 3 4 4 4 4 5 6 8 8 8 7 7 6 6 8 10 9 8 10 15 17 15 13 12 16 22 27 29 28 26 23 18 12 7 5 5 6 6 6 7 6 6 6 6 6 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 5 2 1 0 0 0 0 0 0 1 2 4 5 6 7 8 8 9 10 13 16 16 15 16 17 18 19 21 22 21 20 20 22 23 22 22 22 23 25 26 27 27 26 23 19 13 6 6 6 7 7 7 7 7 7 7 6 6 6 7 8 7 6 6 6 6 7 7 7 8 8 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
35 24 22 37 59 68 66 59 54 54 57 62 66 70 74 79 80 74 68 64 61 62 65 69 72 70 68 71 76 79 83 90 92 86 73 55 43 40 45 47 50 55 58 59 57 51 42 33 27 25 27 31 36 42 43 39 36 36 37 39 40 39 37 36 37 36 26 16 12 12 14 14 13 15 16 18 18 19 17 14 12 11 10 11 13 14 16 15 9 5 6 6 6 6 7 8 8 8 4 2 2 3 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 2 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 6 7 10 12 13 13 14 16 19 22 23 20 15 12 14 16 13 10 8 8 13 18 20 19 17 17 18 18 17 12 7 6 6 6 6 6 6 6 6 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 18 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 4 2 1 1 1 0 0 0 0 0 1 2 3 3 5 8 9 11 15 19 19 18 17 18 18 20 21 21 20 20 19 19 19 18 18 19 21 23 24 25 25 24 20 15 10 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
51 43 38 44 58 68 67 61 57 54 55 59 65 70 75 79 81 75 66 60 57 56 57 61 67 72 71 70 70 72 76 82 88 89 83 72 57 47 45 44 43 49 54 58 62 61 56 47 37 30 30 32 35 39 40 38 36 34 35 38 40 42 42 40 38 37 33 21 13 12 13 13 12 12 14 16 17 17 16 14 12 10 9 10 11 13 14 13 8 5 6 6 6 6 6 7 8 8 5 3 3 3 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 3 5 6 6 6 6 6 5 5 4 4 4 4 4 4 5 6 8 11 14 17 18 20 22 25 27 29 26 22 19 18 20 21 20 17 13 9 10 14 14 12 9 7 7 8 10 11 10 7 7 7 6 6 6 6 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 19 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 3 5 5 2 1 2 2 1 0 0 1 1 1 2 2 1 1 5 8 11 16 19 20 19 18 17 18 18 19 19 18 18 17 17 16 16 15 16 18 19 21 21 21 19 15 9 6 5 6 6 6 6 6 6 5 6 6 6 6 7 7 8 7 7 6 6 6 6 7 7 8 8 8 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
59 54 50 52 60 67 68 65 62 58 56 57 61 64 67 70 72 69 62 55 52 50 50 51 56 62 67 69 69 67 66 67 73 80 85 83 72 59 47 39 36 39 47 56 62 66 68 62 51 41 34 34 37 37 37 35 33 32 33 36 40 43 44 42 40 39 37 30 17 14 13 13 12 10 11 13 14 15 15 13 11 9 9 10 11 12 12 12 8 5 5 6 6 5 6 6 7 8 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 4 3 3 3 3 6 7 7 7 7 7 6 6 5 5 5 5 6 7 8 11 12 14 18 22 22 21 23 23 22 18 18 21 23 24 25 26 25 21 14 11 12 12 12 10 9 8 8 9 10 11 11 9 8 7 7 7 7 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 17 19 15 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 3 3 1 0 0 1 1 0 1 2 2 2 2 3 3 2 2 4 8 14 18 19 19 18 18 18 19 19 19 18 17 17 16 15 13 11 12 12 13 15 17 15 13 9 6 6 5 6 6 6 6 6 6 5 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
63 61 60 60 65 70 71 69 66 63 60 58 59 58 57 60 63 63 57 50 46 45 45 45 46 50 57 62 66 67 68 65 63 66 75 81 80 71 55 40 31 31 37 50 63 68 70 66 60 49 39 36 36 36 34 33 33 33 32 34 38 42 44 42 41 41 40 36 27 19 16 15 14 11 9 10 11 12 13 13 11 9 9 10 11 12 12 12 8 5 5 6 6 6 6 6 7 7 8 4 4 4 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 6 7 8 10 9 9 9 8 8 8 8 9 10 11 12 11 11 16 22 20 16 16 18 18 18 18 20 22 23 23 24 26 24 17 13 12 11 12 11 12 12 14 15 16 15 14 12 9 8 8 7 7 7 6 6 5 2 0 0 0 0 0 0 1 0 0 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 17 18 15 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 1 0 0 0 0 0 1 1 1 2 2 2 2 3 4 3 2 2 4 8 14 16 17 17 18 19 20 20 19 18 17 17 16 14 9 6 7 8 8 8 8 6 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
66 66 65 67 70 72 73 73 72 70 68 66 64 59 55 56 60 60 56 50 45 43 43 42 42 43 46 53 60 67 70 70 66 60 57 59 65 69 64 48 35 29 31 42 60 72 70 66 63 56 41 34 34 34 34 36 38 36 34 33 35 38 41 40 40 41 42 40 34 27 21 17 15 12 9 8 8 10 12 12 12 10 9 10 11 12 13 12 7 4 4 5 6 6 6 6 7 7 7 6 7 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 1 1 2 3 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 6 8 9 10 11 12 13 13 12 12 11 11 11 9 8 13 17 16 13 12 14 15 16 16 16 16 15 15 17 19 19 16 13 10 11 12 12 12 12 15 17 18 16 14 11 9 9 9 8 8 7 8 9 9 7 5 2 2 1 2 3 2 2 2 2 2 2 2 2 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 16 17 15 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 2 1 0 0 0 0 0 1 2 2 2 2 2 2 1 2 4 4 4 4 4 5 8 10 12 15 18 19 19 19 19 17 16 16 15 13 7 6 6 7 7 6 6 6 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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