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