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