Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 7 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 6 6 7 6 6 5 4 4 4 3 3 4 4 3 3 3 3 2 3 3 3 4 4 4 4 3 2 2 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 5 6 6 6 6 6 6 5 4 4 5 6 7 9 11 9 7 6 6 6 6 5 5 6 7 6 5 5 5 4 3 4 2 1 0 4 3 6 8 6 -5 2 5 2 7 7 3 9 9 6 5 5 3 1 4 7 1 0 3 2 0 4 2 -2 1 6 12 8 -1 -2 7 13 7 -1 2 7 7 5 2 2 7 8 3 -0 5 9 6 5 9 5 -1 1 5 5 2 -0 1 4 6 5 9 26 41 33 17 9 5 4 3 2 2 2 2 2 1 1 2 3 3 3 4 3 3 3 3 3 4 4 5 6 7 10 12 14 15 15 14 13 13 12 12 10 8 6 4 4 4 3 3 2 1 3 6 5 5 4 5 6 5 4 3 3 6 7 5 5 6 6 5 5 5 5 8 8 3 2 3 3 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 4 4 3 2 1 1 2 3 4 5 5 6 6 7 8 8 9 8 5 4 2 2 2 2 3 5 7 7 5 4 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 3 3 3 4 7 16 27 21 9 4 4 -2 -6 -6 -10 -7 -12 -6 -0 -4 -1 3 1 -1 -0 1 -1 -10 -16 -10 -7 -9 -6 -1 5 8 8 8 8 9 12 18 20 18 14 13 12 10 9 9 10 13 15 18 19 17 15 16 19 18 13 11 11 9 6 5 4 6 7 7 7 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 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 2 3 3 3 4 5 6 7 6 6 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 4 4 4 3 2 3 3 3 3 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 5 5 6 6 5 5 6 6 5 4 5 5 5 6 8 10 10 8 7 6 6 6 5 5 5 6 6 6 6 4 4 3 3 1 2 4 3 3 10 20 12 1 5 4 2 8 10 2 2 4 5 6 6 0 -3 6 11 5 1 1 0 2 9 8 5 3 4 7 7 5 5 9 13 12 8 6 7 12 10 3 2 8 12 7 1 -0 -0 3 7 10 5 -0 0 2 4 5 6 6 7 8 13 24 35 36 23 10 6 4 3 3 2 2 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 6 7 8 10 12 14 14 12 11 11 11 11 11 9 7 6 5 4 3 2 2 2 3 6 6 5 5 4 5 5 2 2 4 6 7 5 6 6 5 5 6 5 5 6 5 2 3 3 2 3 4 5 4 3 3 4 4 4 3 3 3 2 2 2 3 3 3 4 3 2 1 2 2 4 5 5 5 5 5 6 7 9 9 9 7 5 3 2 2 2 3 5 6 6 5 3 3 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 4 3 3 3 3 3 3 4 9 17 25 24 17 14 8 9 9 8 2 2 -0 2 0 6 7 3 4 8 9 5 2 -1 -3 -2 -4 -4 -1 3 6 8 7 7 8 8 10 13 13 11 8 7 7 7 8 9 11 14 15 14 12 11 13 12 10 9 9 8 6 4 3 4 7 8 7 7 8 9 8 6 4 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 5 4 5 5 4 4 3 3 3 3 3 3 3 3 3 4 5 6 6 7 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 2 3 3 3 4 3 4 3 3 3 3 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 6 9 11 9 7 6 6 6 6 5 5 5 6 6 4 3 3 3 -0 -2 5 10 4 3 12 22 10 4 5 1 1 7 7 1 -1 -0 1 4 8 4 2 11 14 9 3 2 2 5 11 11 9 7 5 4 6 9 13 13 8 10 11 8 6 11 5 -2 2 10 13 10 4 -5 -9 -1 8 10 7 4 3 4 5 6 7 8 10 14 26 39 36 22 11 7 5 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 5 5 4 5 6 6 7 9 10 12 12 11 10 8 9 10 11 10 8 6 5 3 2 2 -1 -4 2 6 6 6 5 4 4 4 4 4 6 7 6 6 6 6 5 5 6 6 4 5 1 -3 1 3 1 1 4 5 4 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 3 2 1 2 3 4 5 5 5 4 5 6 7 9 10 10 9 7 5 4 3 2 3 5 6 6 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 6 14 20 21 18 10 7 6 5 6 8 6 4 3 4 4 5 6 9 10 8 8 9 7 8 9 7 5 5 6 7 7 7 8 8 8 8 8 8 5 5 6 7 8 9 10 12 11 10 8 8 8 8 8 8 8 7 5 2 1 3 6 7 6 5 5 8 8 7 5 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 6 6 7 7 6 5 4 4 5 4 4 4 4 4 5 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 2 2 2 3 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 4 3 4 4 4 4 4 5 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 8 10 10 8 7 6 6 6 5 5 5 6 5 3 2 3 3 -3 -6 2 10 5 2 7 12 6 5 7 5 3 6 4 -2 -2 -1 0 7 9 6 8 13 13 7 5 3 4 8 7 6 7 8 6 5 7 8 11 13 13 13 10 6 7 9 1 -5 1 10 14 10 2 -3 -4 -0 5 7 8 7 6 6 5 6 6 9 14 26 38 38 24 11 6 6 5 4 3 3 3 2 3 3 2 2 2 2 2 2 2 3 4 4 4 5 4 5 5 5 5 6 6 8 9 10 9 9 8 7 7 9 9 9 8 6 4 3 2 1 -3 -4 3 7 6 6 4 4 4 4 6 6 6 6 6 6 6 6 5 5 5 5 4 5 3 -3 -2 1 1 1 3 4 4 3 3 3 3 4 5 4 4 3 2 2 3 5 5 5 4 3 2 2 3 4 5 5 5 5 5 5 7 9 11 11 11 9 8 6 5 3 3 5 6 6 5 3 4 5 4 4 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 4 3 3 3 3 3 3 4 8 13 16 11 7 6 4 4 6 6 5 4 3 3 6 8 7 6 5 7 7 8 12 13 10 7 5 6 6 7 7 8 8 8 7 7 6 5 5 6 6 7 8 10 10 9 7 5 4 4 5 7 8 8 7 4 1 -0 2 5 6 5 3 3 6 7 7 5 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 5 6 7 8 8 7 6 5 4 4 4 4 4 5 5 5 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 5 5 6 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 6 6 6 6 6 5 5 4 4 3 3 4 5 5 5 5 4 4 4 5 6 7 6 6 5 5 5 5 6 9 10 9 8 6 6 7 6 6 6 6 5 3 3 4 3 -2 -7 -4 4 6 5 5 5 3 5 7 6 3 8 9 2 -0 1 4 10 6 3 4 6 4 0 2 1 4 7 6 2 3 5 6 8 7 4 5 8 15 17 9 4 5 5 6 5 6 8 10 6 2 4 9 6 3 5 7 7 6 5 3 3 5 9 20 34 35 24 11 6 5 5 4 4 3 3 2 2 2 2 2 3 2 2 2 3 3 3 4 5 5 5 4 4 5 5 5 5 6 7 9 9 9 8 7 7 7 7 8 7 6 5 4 4 3 1 0 3 5 6 6 5 4 4 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 4 3 1 -1 -0 5 7 5 4 3 3 3 3 5 6 7 6 5 3 2 3 4 6 6 5 4 3 3 3 3 3 4 5 5 5 5 6 7 9 11 12 12 11 10 9 7 5 4 5 6 6 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 2 1 -0 -1 -1 -2 -2 -1 2 7 8 6 5 5 5 6 8 7 5 3 3 6 11 10 5 3 9 12 12 10 8 6 6 6 5 6 6 7 8 8 8 8 7 6 6 5 5 5 6 7 9 10 8 6 4 2 3 3 5 7 7 7 4 1 -1 1 3 5 5 2 2 4 5 5 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 nan nan nan nan
nan nan nan nan nan nan nan 3 3 2 2 3 3 3 2 2 2 2 3 4 4 4 3 3 2 3 3 3 3 4 4 5 6 7 8 8 7 6 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 5 4 4 4 5 5 4 4 5 4 4 5 6 6 6 5 6 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 6 6 7 6 6 5 5 5 6 8 10 10 8 7 6 6 6 6 6 6 5 4 4 5 4 -0 -6 -4 3 6 7 8 5 2 7 6 3 2 5 9 8 5 2 7 10 5 4 3 0 -2 1 4 4 5 7 6 3 0 0 5 10 5 -4 1 5 10 9 6 5 4 2 8 13 9 5 7 6 6 12 13 8 8 8 7 6 6 4 2 2 4 10 22 28 20 10 5 5 5 4 4 4 3 3 2 2 2 3 3 3 2 2 3 3 3 4 4 5 5 5 4 4 5 5 5 5 6 7 7 8 8 7 7 7 7 8 7 6 6 5 5 4 3 2 3 4 4 5 5 5 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 3 0 1 7 9 6 4 3 3 3 5 6 8 9 7 5 3 3 3 5 6 5 5 4 3 3 3 3 3 4 5 5 5 5 6 8 9 11 11 11 12 10 10 9 7 6 6 7 6 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 3 1 -1 -4 -7 -6 -6 -7 -6 -3 0 5 5 5 5 5 7 9 8 4 3 6 6 9 13 9 7 11 13 9 6 5 5 5 6 6 5 6 6 7 7 7 7 7 6 5 5 4 4 6 7 8 8 7 6 4 3 3 3 5 5 5 5 4 2 -0 1 3 4 5 4 3 2 3 4 4 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 nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 3 2 2 3 2 3 2 2 1 1 2 4 4 4 3 2 2 2 2 3 3 4 4 4 6 7 8 8 7 6 5 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 2 3 3 2 2 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 6 6 6 6 6 6 5 4 5 5 5 4 4 4 4 3 4 5 6 7 7 6 5 5 5 5 7 9 10 9 7 6 5 6 6 6 6 6 6 5 6 5 2 -2 -2 4 6 6 10 9 6 6 3 2 4 4 5 8 8 3 7 7 3 5 8 2 0 7 7 5 4 5 3 4 2 -0 6 10 1 -7 1 3 3 0 2 3 6 6 2 6 7 6 5 -1 6 13 13 11 9 9 6 5 6 5 4 4 5 12 22 20 9 5 5 5 5 4 4 3 3 4 3 3 3 3 3 2 3 3 3 3 3 4 5 5 6 5 4 4 5 5 5 5 5 5 6 7 7 7 7 8 8 8 7 7 6 6 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 6 6 6 5 4 5 5 5 5 5 5 4 4 2 2 3 6 6 3 2 3 4 6 8 10 10 7 4 2 2 4 5 6 4 4 4 4 3 3 3 3 4 5 5 5 5 6 7 9 11 11 10 10 9 10 10 9 8 8 8 5 3 3 3 4 4 5 5 5 5 5 5 4 5 5 4 4 3 3 2 2 2 3 3 0 -3 -5 -5 -4 -5 -4 -0 3 4 5 6 4 4 7 7 7 6 4 6 7 9 12 11 9 6 5 5 5 4 5 6 6 6 5 4 3 3 5 6 7 6 5 5 4 4 4 5 6 7 8 7 6 5 4 4 4 4 4 5 5 4 2 0 0 2 3 4 4 4 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 nan nan nan nan nan nan 4 5 4 3 2 2 2 3 3 2 1 1 1 1 2 4 4 3 2 1 2 3 3 3 3 3 4 5 6 7 7 8 7 5 4 3 2 2 2 3 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 2 3 3 4 4 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 7 7 6 6 6 5 5 6 5 5 4 3 3 3 3 4 6 7 8 7 6 5 5 5 6 8 10 9 8 6 5 5 5 6 6 6 6 6 6 6 4 1 -1 2 5 8 11 10 8 7 4 2 3 4 2 6 8 6 8 4 1 5 8 7 6 7 4 3 4 5 2 5 4 3 10 9 -4 -3 4 6 5 1 -0 -2 4 9 5 3 3 5 2 -5 -0 7 10 10 9 10 7 4 3 3 5 6 9 19 24 15 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 6 5 5 4 4 5 5 5 4 5 5 6 6 7 8 9 8 8 7 7 7 7 6 5 5 5 3 3 5 7 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 5 5 5 4 3 2 4 5 5 3 2 4 5 7 11 12 10 7 4 2 1 4 5 4 3 3 4 4 4 4 3 3 4 5 5 5 5 6 6 9 10 10 9 8 8 8 9 10 10 10 8 5 3 2 3 3 4 4 5 5 6 6 5 5 5 5 4 3 3 2 2 1 0 3 7 5 3 2 1 2 2 1 3 5 5 5 6 5 4 5 5 5 9 8 7 6 7 9 7 5 4 4 4 3 4 4 5 6 5 5 3 -0 -3 -0 3 5 5 5 4 3 3 4 4 6 7 8 8 7 6 5 4 5 5 5 5 5 4 2 1 1 1 2 4 4 4 3 3 2 1 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 nan 2 4 4 4 2 1 2 3 4 4 2 1 1 -0 0 2 3 4 3 2 1 2 2 3 3 2 3 4 4 4 5 6 7 7 6 4 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 3 2 2 2 2 2 1 2 2 2 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 4 4 4 4 3 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 7 6 6 6 7 7 7 7 7 6 6 7 6 6 6 5 4 3 3 3 4 5 7 8 7 6 5 5 5 6 7 9 10 8 7 6 5 6 6 6 5 6 6 6 6 5 3 0 -0 3 8 11 9 7 7 5 5 9 8 2 2 6 9 11 4 4 4 4 8 6 6 4 5 8 8 4 3 4 8 14 4 -6 1 7 8 9 7 -1 -3 1 4 5 7 8 9 5 2 0 5 4 6 8 9 6 3 3 3 6 8 15 24 21 10 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 6 8 8 9 8 8 8 8 8 7 6 6 6 5 5 11 14 11 8 7 5 6 6 6 6 6 6 7 6 6 5 5 6 6 6 6 6 5 4 4 4 5 5 4 3 3 4 6 8 11 12 10 7 3 2 2 3 4 3 3 3 3 4 4 4 3 3 4 5 5 5 5 5 6 7 9 9 8 7 7 8 8 10 11 12 9 5 3 2 2 3 4 4 5 5 6 6 5 5 5 4 4 3 2 2 2 4 3 2 6 7 6 6 4 3 3 3 3 4 5 4 4 5 5 5 5 5 9 11 9 6 6 6 5 4 3 3 3 3 3 4 5 5 5 5 4 2 -0 0 1 3 5 4 4 3 3 4 5 5 6 7 7 7 6 6 5 5 5 5 5 5 4 3 2 2 2 2 3 4 4 4 4 3 0 -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
nan nan nan nan nan nan -0 0 2 3 3 3 2 2 3 4 3 3 3 1 -1 -1 -0 2 3 3 2 1 2 2 3 3 3 3 3 3 2 3 4 6 6 6 5 4 3 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 3 3 4 4 4 4 3 3 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 2 2 3 2 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 7 7 7 7 7 6 4 3 3 3 4 6 8 8 7 5 5 5 5 5 6 9 9 9 8 6 6 6 6 6 5 5 6 7 6 6 4 1 1 3 7 7 6 6 5 4 7 12 10 7 5 3 5 9 8 7 5 5 9 7 7 8 8 10 10 7 1 2 6 9 -1 -4 3 4 6 8 10 2 2 3 3 5 4 6 9 4 7 6 7 6 9 12 9 5 2 2 4 7 10 18 22 15 7 5 5 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 7 7 7 8 8 8 8 8 7 6 6 5 6 12 16 17 16 14 11 10 9 8 7 7 8 7 6 6 6 5 6 5 5 6 6 6 5 4 4 6 7 7 4 4 4 6 7 9 11 9 6 3 3 4 4 4 3 3 3 3 4 4 5 4 3 4 5 5 5 5 5 5 6 7 7 7 7 6 7 8 9 12 12 9 5 2 1 2 3 4 4 5 5 6 6 6 5 4 4 3 3 2 2 1 6 11 8 4 5 5 6 5 4 2 3 4 4 5 6 7 8 8 8 7 7 9 12 11 8 7 7 6 5 4 3 3 3 3 3 3 4 5 5 5 7 9 10 7 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 2 2 3 4 4 4 4 3 2 0 -0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 1 1 2 2 2 2 2 3 4 3 3 3 2 1 0 -0 0 2 2 1 0 0 1 3 3 3 3 3 3 2 3 3 3 4 5 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 4 3 4 3 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 7 7 7 8 7 7 6 5 4 4 5 6 7 8 7 6 5 5 5 6 7 8 9 9 8 7 6 6 6 6 6 6 6 7 7 6 5 3 2 5 9 7 5 5 4 2 8 11 9 6 4 2 2 6 10 7 6 7 4 6 8 10 7 7 10 9 3 1 1 3 -0 0 3 1 3 8 10 4 4 3 5 6 3 4 2 2 6 6 8 11 14 13 9 6 3 4 5 5 9 16 18 10 5 5 5 4 4 5 4 4 5 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 5 5 5 5 10 15 18 18 18 17 15 13 13 13 12 10 8 6 5 5 5 5 6 6 6 7 7 6 8 11 13 9 5 4 5 6 6 6 7 5 4 3 4 5 5 4 3 3 3 4 4 4 5 4 4 4 5 5 5 4 3 2 4 5 6 6 5 5 6 8 9 11 12 10 6 1 -1 -0 1 2 4 4 5 6 6 6 5 4 2 1 2 2 0 -1 4 13 12 6 5 5 4 4 4 3 5 8 10 11 10 11 14 12 10 9 8 7 8 10 9 9 9 8 6 4 3 3 3 3 3 3 3 4 5 6 9 12 12 11 7 4 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 5 4 3 2 2 2 3 4 4 4 4 4 3 1 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 3 2 1 0 1 3 4 4 4 4 3 3 3 2 2 1 1 0 -1 -1 -0 1 2 3 4 4 3 3 3 2 2 3 3 4 5 7 6 6 6 5 5 4 4 4 3 3 3 2 2 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 3 3 4 3 4 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 6 5 5 6 7 8 7 6 6 6 6 7 8 8 8 8 7 6 6 6 7 7 7 7 6 5 5 6 6 6 7 9 9 7 7 6 7 7 6 6 6 6 7 7 7 5 3 5 11 14 10 7 3 -0 1 5 7 8 4 1 2 7 9 8 5 4 4 1 3 9 12 8 4 5 6 6 2 -2 1 4 3 2 0 1 6 8 4 2 3 6 5 4 2 5 8 4 -1 4 10 9 8 7 6 5 7 7 8 12 17 15 7 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 5 4 4 4 4 3 3 3 5 8 10 12 14 15 16 17 18 18 16 16 13 8 7 7 7 8 8 10 12 12 11 13 16 18 15 8 5 5 5 6 6 5 4 2 2 2 2 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 1 -5 -5 1 5 5 5 5 5 6 8 10 11 11 9 4 -1 -3 -3 -2 2 3 5 5 5 5 3 1 -1 -3 -3 -2 -3 -3 2 9 11 7 5 4 4 4 5 5 8 11 13 14 12 10 10 11 10 7 6 7 7 7 8 10 10 9 7 5 3 3 3 3 3 3 3 3 4 5 7 8 6 7 5 5 6 6 5 4 4 4 5 5 5 6 6 5 6 6 7 7 7 7 6 5 3 3 2 2 2 3 3 3 4 4 4 4 3 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 5 4 2 0 0 2 3 5 5 5 4 4 3 3 3 2 2 1 0 -1 -1 0 1 2 3 4 4 4 4 3 2 2 2 3 4 6 6 6 6 5 5 5 4 4 4 3 3 3 2 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 6 7 8 9 10 10 10 9 8 7 7 7 7 6 5 4 5 6 6 7 7 8 8 7 6 7 7 7 6 6 7 7 7 7 6 4 3 8 16 13 7 8 -0 -3 2 2 -3 5 8 8 6 8 6 5 8 9 5 3 7 11 14 11 5 2 1 3 5 1 2 7 4 4 3 2 4 0 1 1 6 6 5 4 2 7 9 0 -8 -3 7 9 7 7 6 5 5 7 12 19 20 13 5 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 5 4 5 5 6 6 6 5 4 4 5 5 4 4 5 6 6 6 6 5 4 3 3 2 3 3 3 2 2 2 2 2 2 3 3 3 4 5 7 9 12 13 13 14 16 15 15 14 14 14 16 17 17 16 15 16 18 21 21 13 6 6 5 6 6 6 5 3 2 1 1 1 3 4 4 5 4 4 4 6 6 5 5 5 5 4 4 4 6 4 -5 -13 -9 1 5 4 4 5 5 6 8 9 10 10 9 5 -0 -4 -6 -6 -3 2 4 2 0 -1 -2 -3 -6 -7 -7 -5 -3 1 6 7 6 5 5 5 6 8 9 11 11 10 8 8 6 5 6 7 6 6 6 6 7 8 9 10 10 9 7 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 6 7 7 6 5 4 3 3 4 5 7 7 6 5 6 6 7 7 7 7 4 3 2 2 2 2 2 3 3 4 4 4 5 5 4 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 nan nan 2 3 5 5 5 3 1 1 1 3 5 6 5 4 4 4 4 4 3 3 4 2 1 0 -0 0 1 2 3 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 2 3 3 3 3 4 3 3 3 3 3 4 4 3 3 3 4 3 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 6 7 7 6 6 6 6 7 8 10 12 14 14 12 10 9 8 7 7 6 4 4 5 6 7 7 7 8 8 7 7 7 8 7 6 7 8 8 8 7 6 3 3 9 13 7 4 5 -1 2 2 3 -4 7 13 11 7 2 -2 4 12 14 11 8 10 13 17 13 9 7 4 -0 2 5 8 9 4 6 7 4 3 -1 1 4 7 5 6 4 6 7 6 0 -4 1 6 9 11 10 7 6 5 6 13 21 18 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 5 5 4 4 5 4 4 5 5 6 6 6 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 5 6 7 9 12 16 18 18 18 17 16 13 12 12 14 16 18 15 8 5 6 6 6 6 6 6 4 3 2 1 2 3 3 2 3 4 3 1 3 5 6 5 5 6 5 5 5 8 11 6 -4 -10 -4 4 5 4 4 4 5 6 8 9 10 11 12 9 4 -2 -10 -12 -7 -1 -1 -5 -5 -4 -2 -3 -3 -4 -3 1 2 3 4 4 6 8 8 10 13 16 14 11 8 4 3 4 5 5 5 6 6 6 6 7 8 9 10 11 10 9 6 4 3 4 3 3 3 3 4 5 5 5 5 6 7 7 8 8 7 5 4 3 3 3 5 7 8 7 6 6 6 7 7 7 7 5 3 1 1 2 2 2 3 3 3 3 4 5 6 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 nan nan nan nan
nan nan nan nan nan 2 4 5 5 5 4 3 3 2 3 4 5 5 4 4 4 4 4 4 4 5 5 4 2 -0 0 1 2 2 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 2 2 2 2 3 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 3 3 4 3 4 3 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 7 6 6 6 7 8 10 12 16 20 21 17 13 11 9 8 7 6 4 4 5 7 7 7 7 7 8 8 8 9 9 8 8 8 8 7 7 6 4 2 2 6 7 5 7 4 6 9 1 -3 0 5 14 6 7 -1 -4 2 9 9 12 12 9 11 15 15 12 11 9 4 1 3 6 6 5 7 7 7 6 5 5 7 8 7 5 4 9 10 8 4 6 7 7 7 9 11 8 6 6 5 14 20 13 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 5 7 9 11 11 10 8 6 7 7 8 9 9 10 8 6 6 6 6 6 6 6 6 5 4 3 3 3 4 5 3 -0 2 3 -4 -7 -2 4 6 6 6 6 6 7 11 17 15 8 4 1 3 5 4 5 5 4 5 5 7 8 10 12 14 14 9 -1 -13 -15 -9 -7 -7 -5 -2 0 2 3 4 4 4 4 3 3 4 5 7 8 9 14 18 17 13 9 5 3 4 4 4 5 5 5 6 6 7 8 9 10 11 11 10 8 6 4 4 4 3 2 3 4 5 5 5 5 5 7 7 8 10 8 5 4 3 3 3 4 7 9 9 8 6 5 6 7 8 7 5 3 2 2 2 3 3 3 3 2 2 2 3 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 6 6 5 5 4 3 2 2 3 4 4 4 4 4 5 4 4 5 6 6 5 3 1 1 1 2 2 2 2 3 4 4 4 5 4 3 3 3 4 4 3 4 4 4 4 4 4 3 3 4 4 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 6 6 7 6 6 7 7 8 11 14 20 27 30 24 16 12 9 8 7 5 4 4 6 6 7 8 7 7 8 8 9 10 10 9 9 8 7 7 6 5 3 1 2 4 5 6 8 4 12 11 6 -4 7 3 8 3 12 6 1 1 4 3 7 9 8 6 10 14 12 9 5 3 2 3 3 3 5 6 7 9 7 7 8 7 8 7 4 7 13 9 8 6 10 8 5 5 6 7 6 7 7 9 17 18 9 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 6 6 6 5 5 5 6 5 4 4 4 3 4 7 8 4 3 7 1 -9 -13 -5 3 5 5 5 5 7 10 17 19 10 6 5 3 4 4 4 4 4 2 1 2 4 4 4 7 12 15 9 -3 -10 -8 -5 -3 -1 0 2 3 4 6 6 5 4 5 5 6 7 7 7 3 3 11 14 11 8 5 5 5 4 4 5 5 6 6 7 6 7 8 8 10 11 11 9 7 6 5 4 3 2 2 3 4 5 5 5 4 5 6 7 8 7 5 4 4 4 4 6 7 9 9 9 7 6 6 6 8 8 7 5 4 3 3 3 3 3 3 2 1 1 1 1 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 5 7 7 7 6 6 5 4 3 2 2 3 2 2 3 5 5 5 4 5 6 6 5 4 5 4 3 3 2 2 2 2 2 4 5 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 6 6 6 6 6 6 7 8 11 14 20 28 32 27 17 11 8 7 7 5 4 4 6 7 8 7 6 7 8 10 10 10 10 9 8 8 7 6 5 4 2 0 2 4 5 6 7 5 9 7 8 5 10 6 8 12 15 11 8 2 2 1 0 4 5 3 7 10 11 9 2 -3 -0 3 3 2 5 8 10 8 3 3 8 8 5 4 4 9 13 6 3 6 9 5 2 4 5 5 6 7 9 13 19 15 6 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 7 11 10 8 11 12 2 -9 -14 -8 -2 -1 0 2 5 8 11 13 9 2 3 4 4 3 3 2 1 -1 -3 -6 -4 -1 -4 -5 1 8 10 8 5 4 3 0 -0 1 0 1 3 3 3 4 6 8 10 10 12 12 8 6 1 3 9 8 6 5 6 6 5 4 5 6 7 7 7 7 7 7 7 8 10 10 10 9 8 7 6 5 3 2 2 3 4 5 5 4 4 5 6 6 6 5 5 5 5 6 7 7 7 8 8 7 6 6 7 8 9 8 8 7 6 5 5 4 3 3 2 1 0 -0 0 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 nan nan 6 6 6 7 7 7 7 7 7 5 4 2 2 1 1 2 5 6 6 4 4 5 5 5 5 6 6 5 5 3 2 2 1 2 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 10 14 18 21 25 24 17 10 8 7 6 5 5 5 6 7 7 7 6 7 9 11 12 11 9 8 7 6 6 6 5 3 1 1 2 4 6 9 9 5 3 6 2 6 2 7 6 14 12 9 10 4 2 -2 -3 6 3 -1 4 5 8 14 9 -0 1 4 3 1 4 11 13 5 -5 -2 5 7 4 3 4 9 10 3 -0 4 6 4 0 1 3 4 5 6 10 18 21 13 5 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 5 4 5 7 8 8 11 13 9 2 -9 -14 -10 -9 -7 -6 -1 5 7 7 5 3 3 3 2 2 0 -1 -2 -3 -4 -8 -10 -6 -4 -7 -6 1 7 10 10 8 5 2 2 3 2 3 7 7 4 5 9 14 13 11 11 11 10 9 5 4 7 8 7 6 6 6 5 5 6 7 7 8 7 7 6 7 7 8 9 10 11 11 11 10 8 7 5 3 2 2 2 4 4 4 4 5 6 6 6 5 5 5 5 5 6 6 6 7 8 7 6 6 6 7 8 8 8 8 8 8 7 6 5 4 2 2 1 1 1 2 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
nan nan nan nan 6 7 6 6 6 6 7 8 8 8 6 5 3 2 1 2 4 6 6 5 4 5 5 5 5 6 6 6 6 5 4 3 2 2 2 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 3 4 4 4 3 3 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 3 3 3 4 4 5 5 5 4 4 4 5 5 5 6 6 6 6 7 7 8 11 15 15 15 17 20 17 11 8 7 6 5 5 6 7 7 7 7 6 8 10 12 12 11 9 6 5 5 6 7 5 2 1 1 3 6 9 10 9 3 1 5 0 6 -1 2 -1 8 7 4 7 6 6 1 0 5 1 -2 2 2 5 14 14 8 5 4 3 1 3 10 12 3 -4 -1 3 5 5 5 6 9 6 3 0 2 1 3 4 3 3 5 5 5 11 23 23 10 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 5 5 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 9 14 10 5 2 -5 -7 -8 -9 -11 -11 -3 3 5 4 3 3 3 3 2 0 1 -0 -1 -0 -0 -3 -3 0 1 -0 2 5 7 7 7 7 6 7 7 9 10 12 15 13 11 14 14 12 10 6 5 7 5 3 5 6 8 8 7 6 6 6 6 6 6 7 6 6 6 6 7 7 8 9 10 12 12 12 12 11 9 6 4 3 2 2 2 4 4 4 5 5 5 5 6 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 8 6 4 3 3 3 4 4 4 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 6 5 5 5 6 7 8 9 9 9 7 5 3 2 3 4 5 5 5 5 5 5 5 5 6 7 7 6 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 6 6 6 7 9 13 16 14 12 14 17 17 13 9 7 6 6 6 6 6 7 7 8 8 10 12 13 13 12 9 6 4 4 6 7 5 1 -0 1 4 6 8 8 8 3 2 2 1 6 9 3 -4 -0 1 2 1 9 13 10 6 7 3 -0 -1 -1 3 7 6 8 6 4 4 2 3 7 8 5 3 3 3 3 5 7 7 5 4 8 6 2 -1 2 8 6 6 7 6 6 12 26 21 8 4 4 3 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 5 4 4 4 4 4 5 6 6 6 6 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 4 3 3 3 4 4 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 7 7 7 6 5 5 9 17 17 9 5 4 2 1 0 -4 -11 -12 -7 -2 2 3 3 3 6 5 3 7 8 5 4 4 4 4 5 6 6 6 6 6 6 6 7 6 7 11 15 14 13 16 17 16 14 10 7 7 6 3 4 3 2 3 5 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 7 8 9 9 10 12 13 13 12 10 8 6 5 4 3 2 3 5 5 5 5 6 6 6 4 4 4 4 5 5 6 6 7 7 6 6 6 6 5 4 4 5 6 7 9 9 10 8 6 6 5 5 6 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 4 4 4 4 5 5 6 7 9 10 10 9 7 4 3 3 3 3 5 5 5 5 5 6 6 7 7 7 7 6 6 5 5 4 4 4 5 5 5 5 6 5 5 5 5 6 6 6 6 5 5 5 5 4 4 3 3 3 3 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 5 4 5 5 4 4 4 4 5 6 6 6 6 6 6 7 11 16 19 17 14 14 16 16 14 10 7 7 6 6 6 6 7 8 8 9 12 14 14 13 11 9 6 3 4 7 7 5 1 -1 1 5 5 5 6 10 8 3 -2 1 7 19 12 1 -5 -3 3 -0 10 16 15 12 11 6 2 -2 -1 3 3 2 5 7 7 7 3 3 7 8 7 7 7 3 1 5 8 8 5 4 10 10 3 0 4 7 7 8 7 6 7 14 25 20 7 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 6 7 6 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 5 4 4 4 3 4 4 4 4 5 5 5 5 5 4 3 4 4 3 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 6 6 6 8 15 22 20 12 5 6 7 7 6 1 -6 -12 -10 -3 0 1 1 3 6 6 8 10 8 6 5 6 6 6 6 6 6 6 6 6 7 6 5 4 9 12 11 10 11 11 11 9 6 4 4 5 4 4 3 3 3 4 6 6 6 6 6 6 6 5 5 4 4 4 4 5 6 6 7 8 8 9 11 12 12 12 10 9 8 8 7 5 3 4 6 6 5 5 5 6 6 6 4 4 4 4 4 5 6 6 7 7 6 6 5 4 4 3 3 4 5 7 9 10 9 7 6 6 7 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 2 2 3 3 3 4 4 4 5 5 6 7 9 11 11 9 5 4 3 2 3 4 4 4 4 5 6 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 6 7 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 4 3 4 4 5 6 6 5 6 6 6 8 16 24 25 21 17 15 15 14 12 9 8 8 7 6 6 7 8 10 9 10 13 14 13 12 10 8 5 3 4 6 6 3 -0 -2 1 5 8 7 5 10 10 5 3 3 6 18 15 8 2 -1 4 2 6 9 12 17 10 5 3 0 1 5 4 4 6 8 8 7 2 2 6 10 9 6 8 7 1 4 7 10 9 5 6 6 2 3 7 5 5 6 6 6 7 16 24 18 7 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 4 5 6 6 6 6 6 6 5 4 5 5 5 6 6 6 6 6 6 5 5 4 3 3 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 3 3 4 3 4 3 4 4 4 4 4 4 4 5 5 6 6 7 6 6 6 6 7 10 16 23 20 11 11 9 8 9 8 5 -0 -8 -8 -4 -4 -4 -2 -1 -1 1 5 7 7 5 4 5 6 5 5 5 6 7 8 7 8 9 7 7 8 6 5 6 5 4 5 5 4 4 4 5 5 4 3 4 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 5 6 6 6 7 8 9 10 11 11 10 9 8 10 10 7 6 5 5 5 4 4 5 6 6 6 5 4 4 4 4 4 5 6 7 7 7 7 6 6 5 4 3 2 3 4 6 7 7 6 6 6 6 8 8 9 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 2 2 2 2 3 4 4 3 3 4 4 6 9 12 12 9 6 4 3 3 3 3 3 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 4 5 6 7 7 6 5 5 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 3 4 5 5 5 6 6 7 7 6 13 27 34 29 22 19 18 16 12 10 8 8 9 8 7 7 7 9 10 10 11 13 13 12 10 9 8 5 3 3 4 4 1 0 -0 0 4 10 11 4 4 7 8 8 8 7 9 11 8 5 7 10 6 3 2 6 16 8 3 4 4 4 6 5 5 6 7 6 6 4 3 7 11 7 4 8 10 5 4 7 9 9 8 6 3 4 7 7 5 3 3 5 6 7 16 24 18 7 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 7 7 6 5 5 5 4 4 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 9 13 17 19 19 18 13 9 8 9 7 2 -3 -2 -2 -3 -3 -4 -5 -3 1 5 8 6 4 5 6 6 5 6 9 12 12 11 12 13 9 5 4 3 3 4 4 4 5 6 5 4 5 5 6 5 4 4 4 4 5 5 5 6 6 6 5 5 5 4 4 4 4 4 5 5 5 6 6 7 8 9 10 10 11 11 10 10 10 9 7 5 4 4 3 3 5 6 6 6 5 4 4 4 4 4 5 6 6 7 8 8 8 7 4 3 3 2 2 4 6 6 4 4 6 6 7 8 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 2 1 1 2 2 3 3 3 2 2 3 4 6 10 13 11 8 6 5 5 5 5 4 3 4 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 4 5 6 7 6 5 4 4 3 4 4 4 4 4 4 4 5 5 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 5 5 6 6 6 7 7 9 24 42 35 20 16 19 20 16 12 9 8 8 9 8 7 7 8 9 9 10 11 12 11 10 9 8 7 5 3 2 0 -1 -0 3 3 0 5 11 15 7 2 6 6 4 10 10 7 7 2 0 9 13 10 4 2 4 10 8 4 6 6 8 6 4 5 7 6 5 5 3 4 7 8 6 6 10 12 8 5 6 6 7 9 9 8 9 11 6 1 2 3 5 6 6 13 22 22 11 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 4 5 6 6 6 5 6 5 5 6 7 10 14 17 21 20 15 10 10 11 8 8 9 7 5 4 3 2 2 4 6 6 7 10 10 9 9 7 8 13 15 15 14 12 10 6 3 2 2 3 3 5 6 7 7 6 5 5 5 6 6 5 5 5 5 5 4 5 5 5 6 6 5 5 5 4 4 3 4 4 4 4 5 5 5 6 6 7 8 10 11 9 10 11 11 9 8 5 4 2 2 3 5 7 6 6 5 4 3 3 3 4 4 5 6 8 9 10 9 6 4 3 1 1 2 4 5 4 3 3 5 7 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 2 2 2 1 1 2 2 2 2 2 2 2 4 7 10 10 7 6 6 7 6 6 5 4 3 4 4 4 4 5 5 5 5 5 6 6 6 7 7 8 8 8 7 7 6 5 5 4 4 4 5 5 5 5 5 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 2 2 3 3 3 3 2 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 5 5 5 5 5 4 4 4 5 6 6 6 6 7 9 15 34 41 20 4 8 16 19 15 11 9 9 9 8 7 7 7 8 8 9 10 11 11 11 10 8 8 7 5 3 -0 -3 -3 -0 3 6 4 4 9 15 12 4 4 3 2 4 4 6 7 2 0 3 7 8 5 4 3 4 11 9 8 7 7 8 5 5 7 6 5 3 1 1 4 5 6 8 11 11 7 5 3 3 4 8 12 13 13 14 6 2 3 4 5 6 5 9 17 25 17 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 5 4 3 3 3 3 3 3 4 3 2 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 3 4 3 4 4 3 2 2 3 3 4 5 5 4 5 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 5 5 5 6 8 12 15 16 14 13 15 14 16 19 18 12 9 10 9 7 9 11 9 8 15 17 13 12 9 7 12 14 11 8 7 5 3 2 3 3 3 4 6 8 9 8 7 5 5 6 6 6 6 6 6 6 5 4 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 10 11 10 8 6 4 3 2 3 5 6 7 6 4 3 3 3 3 4 5 5 6 8 9 10 8 6 4 2 1 1 3 5 4 2 2 3 6 8 8 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 2 2 2 2 2 1 1 1 1 2 2 2 3 3 5 6 7 6 6 6 6 6 7 7 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 8 8 8 7 7 7 6 6 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 3 4 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 5 6 6 6 7 8 11 21 31 26 7 -3 4 12 16 14 11 10 8 7 7 6 6 8 8 8 9 9 10 10 10 9 9 7 6 4 1 -3 -5 -2 1 3 7 7 3 4 7 9 6 6 5 4 3 1 3 4 5 6 3 1 2 5 7 5 7 12 11 8 7 7 8 6 7 5 4 5 5 5 1 2 4 4 7 8 6 4 3 1 -1 -1 5 12 14 16 15 10 6 5 3 2 3 4 5 15 26 20 5 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 5 5 4 3 3 3 3 4 4 4 4 3 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 2 2 3 4 5 6 6 5 5 5 4 4 3 3 4 4 3 3 2 3 2 3 3 2 2 2 3 3 4 5 5 5 5 5 5 5 5 5 5 4 5 7 9 11 11 12 12 12 16 21 19 14 16 13 10 11 13 13 13 14 16 14 12 10 7 8 9 7 4 2 2 2 2 3 4 4 6 8 10 10 8 6 5 5 6 6 7 6 6 6 6 6 5 4 3 4 4 5 6 7 8 7 5 4 3 3 4 4 3 4 4 4 3 3 3 4 4 5 6 7 8 10 12 11 9 7 5 3 3 3 5 7 7 6 5 4 3 4 4 4 5 5 7 9 10 9 7 6 4 2 1 2 4 4 3 2 3 6 8 9 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 3 3 2 3 3 2 2 1 1 2 2 2 2 3 3 4 5 5 4 4 4 5 6 7 7 6 5 5 4 4 4 5 5 4 3 3 4 4 5 5 6 6 7 7 8 8 8 8 8 8 6 5 5 5 5 5 5 4 5 4 4 4 4 5 5 6 6 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 8 10 14 22 24 15 4 0 4 8 14 13 10 9 8 7 6 5 6 7 8 8 9 9 8 8 8 9 8 6 5 2 -3 -5 -3 2 5 4 5 8 8 7 3 3 5 6 7 9 8 5 1 -1 5 10 5 -0 1 7 10 10 9 9 9 9 6 5 5 5 7 5 4 7 8 8 4 4 5 -0 2 4 4 5 2 3 2 0 4 10 14 18 13 11 6 4 1 0 4 6 4 17 28 17 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 3 4 5 6 5 4 3 3 4 4 5 6 5 5 5 5 6 5 5 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 2 3 3 3 2 2 2 2 3 4 4 5 5 4 5 5 5 5 5 5 4 4 4 5 6 7 7 6 6 7 11 15 15 15 14 9 9 9 9 11 11 11 11 9 8 6 6 6 5 3 2 2 2 2 3 4 5 8 11 12 11 8 6 5 6 6 7 6 6 6 6 6 6 6 5 4 3 3 4 6 7 8 7 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 9 11 12 12 11 9 6 4 2 3 6 8 8 6 5 5 4 4 4 5 5 6 8 9 9 8 8 6 4 2 2 2 2 3 3 4 5 8 9 9 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 3 3 4 3 4 4 3 2 2 2 1 1 2 2 2 3 5 5 4 4 3 4 5 6 6 5 5 4 4 4 5 6 6 6 5 4 3 4 4 4 4 5 5 6 7 7 8 8 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 4 5 4 4 5 5 5 5 4 4 3 3 2 2 2 2 1 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 3 4 5 6 5 4 4 5 5 5 5 5 6 6 6 6 7 9 13 18 22 19 7 -0 4 4 7 13 13 10 8 7 7 5 5 6 7 7 7 8 8 8 7 7 8 7 6 3 -2 -6 -4 1 6 8 3 2 10 13 11 1 1 -0 2 9 12 11 6 -1 -4 2 7 6 3 3 8 11 11 8 7 9 8 4 3 2 5 5 3 2 7 9 5 1 4 7 1 1 3 6 6 1 6 9 6 5 6 15 21 12 8 5 2 -1 0 8 12 7 17 28 15 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 3 2 3 3 3 5 7 6 5 4 4 4 5 5 6 6 5 5 5 4 5 5 5 6 5 5 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 4 3 3 3 3 3 3 3 2 2 2 3 3 4 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 4 4 4 6 8 8 8 5 5 5 5 6 7 8 8 7 6 5 5 5 4 3 3 2 2 2 2 4 6 9 12 12 11 8 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 4 6 7 7 6 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 5 6 7 9 11 13 13 11 9 6 4 3 4 6 8 8 7 5 4 4 5 5 5 6 7 8 8 8 8 7 6 4 2 1 2 3 3 3 5 8 9 9 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 4 4 4 4 5 4 4 3 3 2 1 1 1 2 2 4 4 4 3 2 3 4 4 5 4 4 4 4 4 4 5 7 7 7 6 5 4 3 3 3 3 4 4 5 6 7 7 8 8 7 7 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 5 5 4 4 3 2 2 2 1 1 1 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 5 4 4 5 6 6 6 6 6 6 6 7 8 13 20 24 22 13 0 2 9 7 10 12 11 9 8 7 6 5 5 6 6 6 7 8 8 7 7 7 6 5 3 -2 -6 -5 0 4 5 3 4 9 10 7 3 -1 -2 -3 1 9 12 10 5 3 4 6 3 4 5 6 8 10 10 8 9 8 4 2 1 2 4 5 1 1 5 6 0 -3 1 10 9 7 7 7 3 0 7 12 10 9 6 12 22 18 9 4 -0 -4 1 11 15 10 17 28 17 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 5 7 7 7 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 5 5 6 6 5 4 3 3 3 3 4 4 5 6 6 7 7 7 5 4 3 3 3 4 4 4 3 3 3 3 4 4 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 6 7 7 7 6 5 4 4 4 3 2 1 1 2 4 6 9 11 10 8 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 3 3 5 7 7 6 4 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 5 5 6 7 10 12 13 13 11 9 7 4 2 3 6 9 9 7 5 5 5 6 6 6 7 7 8 8 8 8 7 5 3 2 2 3 2 2 4 6 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 5 4 4 4 4 5 5 5 4 3 3 2 2 1 2 3 4 5 4 3 3 3 3 4 4 4 4 3 3 4 5 7 8 9 8 7 5 4 3 3 2 2 3 4 4 5 5 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 4 4 5 5 6 6 6 7 7 7 6 6 6 5 6 6 5 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 5 6 6 5 4 4 5 6 7 7 6 5 6 6 8 13 21 28 26 17 4 -1 8 13 11 10 9 7 7 8 7 6 5 5 6 7 6 7 8 8 8 7 6 5 2 -3 -6 -5 -1 3 6 3 -4 -2 6 8 3 -0 2 -3 1 7 7 9 9 5 7 13 13 2 1 6 7 9 10 8 6 8 6 2 1 1 2 3 3 3 4 4 5 4 -3 -0 11 16 12 9 6 -2 1 5 7 10 15 13 10 20 25 12 2 -3 -5 3 11 11 9 17 28 18 6 5 5 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 2 4 5 6 7 7 7 6 5 5 5 4 5 4 4 5 5 5 5 5 5 4 3 3 3 4 4 3 3 4 4 3 4 4 4 3 3 3 3 3 4 5 6 6 6 6 5 4 3 3 4 4 5 5 5 6 6 6 7 8 7 5 3 4 4 4 4 4 4 3 3 3 4 4 5 5 4 5 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 6 7 7 7 6 5 4 4 3 2 1 2 3 5 7 8 8 7 4 4 3 3 3 3 2 2 2 4 6 6 6 6 6 6 7 7 4 3 4 5 6 6 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 5 7 9 11 13 14 14 12 10 7 4 2 4 7 9 9 7 6 6 6 7 7 6 7 7 8 8 8 8 7 5 3 3 3 2 1 1 2 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 5 6 5 5 4 4 3 4 5 5 6 6 5 5 4 4 3 3 2 3 5 6 5 4 3 3 4 4 3 3 3 3 3 4 5 7 9 9 8 7 5 4 3 2 2 2 3 3 4 4 4 4 5 4 4 4 5 6 5 4 3 3 2 2 2 2 2 3 4 5 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 4 4 4 4 4 4 5 4 5 5 6 6 5 4 5 5 6 7 7 6 6 6 7 13 23 31 30 21 10 -2 3 12 9 4 3 4 4 6 7 7 6 5 5 6 6 6 7 8 8 8 6 5 4 -1 -7 -6 -1 2 3 5 5 2 -3 -3 0 0 2 3 0 7 13 6 5 6 4 6 9 8 -0 1 4 7 11 10 5 4 6 6 4 4 5 4 2 2 6 7 3 3 7 0 -2 12 20 9 7 4 -4 2 5 4 5 11 13 14 24 29 15 2 -5 -4 4 9 6 7 16 30 21 6 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 7 8 8 8 5 4 3 4 4 4 4 4 3 3 3 4 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 6 7 8 7 7 5 4 4 3 3 4 5 6 7 7 5 3 2 1 1 2 1 2 2 0 -1 2 5 5 6 7 6 6 7 7 6 4 3 4 5 5 5 5 4 4 3 3 2 3 2 2 3 3 3 3 3 4 4 4 4 6 7 9 12 14 15 15 13 9 6 3 3 4 7 10 9 7 7 8 7 7 6 7 7 7 8 8 8 8 6 5 4 3 2 1 -0 -0 1 3 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 3 3 3 4 4 5 6 6 6 6 6 5 5 4 3 3 4 6 6 5 5 4 4 4 3 3 3 2 3 3 4 5 6 8 9 8 6 5 4 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 1 1 1 2 2 3 4 4 5 6 6 6 6 7 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 6 6 5 4 4 5 6 6 7 7 6 6 8 13 24 36 37 23 8 3 2 12 9 -3 -9 -5 -0 5 6 6 7 6 5 6 6 6 6 6 8 8 8 7 5 1 -5 -7 -3 2 4 4 3 4 7 11 10 5 1 0 1 2 10 16 9 6 4 6 10 6 -0 1 3 2 6 11 9 5 6 5 3 5 7 9 7 1 2 7 7 5 5 4 -0 -3 13 21 6 3 4 -2 3 4 2 3 8 11 20 32 30 14 3 -3 -2 5 8 4 5 13 31 24 6 5 5 5 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 8 9 10 9 6 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 7 8 8 7 6 5 5 5 6 6 7 6 5 4 2 1 1 1 1 1 1 5 5 -1 -1 4 5 6 6 6 6 6 7 7 6 4 3 4 5 6 6 5 5 4 3 3 2 1 1 2 3 3 3 3 3 4 3 4 4 5 7 10 13 15 16 15 11 8 5 3 3 5 8 8 7 8 9 8 7 7 7 7 7 7 7 8 8 8 7 5 4 4 3 1 0 2 3 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 3 2 2 3 3 4 5 6 6 6 6 6 6 7 6 5 4 4 5 6 6 5 5 4 4 3 3 2 2 2 2 2 3 5 7 7 8 7 6 5 5 4 3 2 1 1 2 2 2 2 3 2 3 4 4 3 3 3 2 1 1 1 1 1 2 3 3 4 5 4 5 5 6 6 6 6 6 6 6 6 5 5 6 6 5 5 4 4 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 4 4 6 7 7 6 6 7 12 22 33 39 31 15 -2 -4 4 2 -6 -16 -16 -9 -0 6 7 6 6 5 6 6 7 6 6 7 8 8 9 7 3 -3 -7 -4 0 3 5 6 5 5 5 7 9 10 7 3 1 3 10 15 14 15 10 10 13 9 0 -2 1 5 9 11 8 7 9 4 0 4 7 8 7 0 1 7 7 6 8 6 -1 -2 12 15 3 1 -1 -2 6 3 -1 4 9 9 23 36 27 10 -0 -2 3 10 10 6 3 11 27 24 7 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 5 4 5 4 4 4 4 4 4 4 4 3 4 5 6 6 6 6 6 6 6 6 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 8 11 12 10 7 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 5 5 5 5 4 4 4 3 3 4 4 4 4 4 3 3 4 3 4 5 7 7 9 8 7 7 7 7 7 7 5 4 3 2 2 2 2 1 1 2 7 9 3 -0 2 5 6 6 6 7 7 7 7 7 5 4 3 4 5 6 6 5 4 3 3 2 1 0 2 2 3 3 3 3 4 3 3 3 4 5 7 11 13 16 16 13 10 7 5 3 5 6 5 5 7 9 8 8 7 8 8 8 8 7 7 8 8 8 6 5 6 6 4 3 3 5 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 2 2 3 3 4 5 6 6 6 6 6 6 7 7 7 6 6 5 5 6 6 4 4 4 4 4 3 2 2 2 1 2 2 3 5 6 6 6 6 6 7 7 6 4 2 1 1 1 2 2 2 3 3 4 4 4 4 3 2 1 1 1 1 1 1 2 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 6 5 5 5 4 4 3 4 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 5 5 6 8 8 7 9 13 18 24 28 29 23 11 -4 -10 -9 -23 -23 -17 -11 -5 2 7 7 6 6 5 6 6 7 7 7 8 8 9 8 4 -3 -6 -4 -1 3 5 7 9 7 8 9 5 1 -1 2 3 2 5 9 15 21 21 13 11 10 8 2 -1 1 7 11 11 9 8 8 2 3 7 6 5 3 -3 -2 4 7 8 12 10 2 -0 8 11 3 1 -6 -5 10 7 1 2 3 6 24 36 24 7 -2 -1 6 12 11 7 4 14 26 20 7 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 3 2 3 4 5 4 4 5 6 7 7 7 6 6 6 6 6 6 5 4 3 3 4 4 4 4 4 4 5 5 5 4 3 3 3 4 6 10 13 12 8 4 2 3 3 3 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 4 5 6 9 9 9 9 9 9 8 7 5 3 3 3 3 3 3 3 1 2 7 8 4 2 4 5 5 6 7 7 6 7 7 7 7 6 4 3 4 5 6 5 4 3 2 3 2 1 2 2 2 2 3 3 3 3 3 3 3 4 6 8 11 14 15 14 12 10 7 4 3 3 1 2 6 8 8 7 7 8 9 9 8 8 8 8 8 8 7 7 8 8 7 6 5 6 7 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 3 3 4 4 5 6 7 7 7 6 5 5 6 7 7 7 7 6 5 5 5 4 4 4 4 4 4 3 2 2 2 1 2 2 3 3 4 4 5 6 7 9 9 6 4 3 2 2 2 3 3 3 4 5 5 5 5 4 3 3 2 2 1 1 1 2 2 3 3 3 3 3 3 4 4 5 5 6 6 6 6 7 7 7 7 7 7 6 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 9 9 10 12 15 17 16 16 15 16 14 7 -4 -13 -18 -25 -20 -7 -2 1 6 8 6 5 6 6 6 6 6 7 8 9 10 9 6 0 -6 -4 -1 -0 6 5 7 11 8 7 6 3 1 -3 -1 1 4 6 8 16 23 18 11 9 8 6 2 0 4 8 11 7 7 9 7 3 10 12 7 4 2 -2 -3 1 4 8 10 10 10 6 4 11 13 9 -3 -6 4 10 4 0 3 14 28 30 18 5 -2 0 7 11 10 6 5 16 26 18 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 5 5 5 4 4 4 3 3 2 3 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 4 3 3 3 4 5 5 5 5 5 5 5 5 4 4 3 2 2 3 6 11 12 10 6 4 3 3 4 5 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 6 7 9 9 9 9 9 8 7 5 4 3 3 3 4 4 3 2 3 6 6 4 4 5 5 5 5 6 7 6 6 6 7 7 7 6 5 5 6 6 5 4 3 3 4 4 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 8 11 13 14 14 12 9 6 4 2 -0 -1 2 5 7 6 6 7 8 8 9 8 8 8 7 7 7 8 8 9 9 8 7 7 7 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 5 5 5 6 6 7 8 8 7 6 5 5 6 7 8 7 7 6 5 5 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 4 5 7 8 8 8 6 5 4 3 2 2 3 3 4 5 6 7 6 6 5 4 3 2 2 1 1 1 2 2 3 3 3 3 3 3 3 3 4 4 5 5 6 7 7 7 7 8 8 7 7 6 6 5 5 5 5 5 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 6 9 12 10 13 16 16 14 10 9 8 8 9 6 -0 -7 -9 -7 -2 5 7 7 7 6 5 5 6 6 7 7 7 8 8 10 12 9 3 -2 -5 -4 -2 -0 5 5 4 7 8 8 5 -2 -3 -1 0 4 9 6 6 13 15 10 8 8 9 6 2 2 6 11 11 5 5 9 8 7 12 13 9 7 2 -1 2 6 5 4 1 5 14 12 5 12 19 14 5 -2 -4 10 13 10 11 20 27 22 10 2 -2 0 7 10 7 4 6 18 27 17 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 6 5 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 5 6 7 6 5 4 4 4 4 3 2 2 1 1 2 6 9 10 8 6 5 5 5 6 7 6 5 4 2 2 2 3 3 3 3 3 4 4 3 3 4 3 3 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 7 9 9 8 8 7 6 5 4 4 4 4 4 3 3 3 3 4 4 5 6 7 6 5 5 6 6 6 6 6 6 6 6 6 7 6 7 6 5 4 3 3 4 4 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 5 7 10 12 14 13 12 9 6 4 0 -2 -0 3 4 5 5 5 5 6 7 8 7 7 7 8 7 8 8 8 8 8 7 6 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 6 5 6 6 6 6 7 7 6 5 5 5 6 7 7 7 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 2 1 1 2 4 5 6 6 6 6 6 5 5 4 3 2 2 3 3 5 6 7 8 8 6 4 3 3 2 2 2 1 1 1 2 2 3 3 3 3 3 3 3 3 4 4 5 6 7 7 7 7 7 7 8 7 7 7 6 6 6 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 11 15 12 14 13 9 8 8 9 9 15 21 17 11 6 6 8 10 12 11 8 6 5 4 6 7 7 8 9 9 9 9 11 11 8 2 -2 -3 -2 1 5 5 4 2 5 7 7 9 6 3 2 3 7 10 4 3 7 6 3 5 5 10 13 7 3 5 15 13 6 5 10 12 12 11 10 9 7 2 3 8 7 3 3 4 6 10 9 8 11 11 8 7 4 -4 4 20 23 18 18 18 10 1 1 -1 -0 6 8 6 4 8 19 25 14 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 3 2 3 4 4 5 6 5 4 3 2 2 3 3 2 2 2 1 1 2 5 6 7 7 6 6 6 6 5 5 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 3 3 3 4 4 5 6 7 8 7 6 6 5 5 4 4 4 5 5 5 4 4 4 3 2 5 7 7 6 5 5 5 6 6 6 6 6 5 6 6 6 7 7 7 5 4 2 2 3 4 4 4 3 2 2 2 2 2 3 3 3 4 4 4 4 4 5 7 10 12 13 13 11 10 8 4 1 1 2 3 3 4 4 4 4 5 5 5 5 6 8 8 7 7 7 7 6 6 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 6 5 5 5 5 4 4 5 6 6 5 5 4 5 6 7 8 7 7 7 7 5 3 3 3 3 3 3 3 3 4 4 4 2 1 1 2 5 7 6 5 5 5 5 4 4 3 2 2 2 2 2 4 5 7 8 9 8 5 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 7 7 6 6 7 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 6 7 8 13 17 15 11 7 5 7 9 11 15 26 32 22 13 12 13 15 16 14 10 7 6 4 4 5 6 7 11 12 12 11 10 10 9 7 3 1 0 1 6 11 9 4 4 6 6 3 6 9 12 9 7 12 6 -1 2 6 2 -1 0 0 8 17 12 -0 -0 13 13 10 12 13 13 15 15 13 8 4 -1 5 11 8 0 1 8 6 4 9 8 4 7 9 7 8 -2 -7 10 28 25 15 5 -4 -3 1 -1 1 8 9 7 5 7 17 24 15 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 5 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 2 3 3 2 2 3 3 4 4 2 2 2 3 5 6 6 5 4 3 3 3 4 4 4 4 4 3 3 2 2 3 3 3 2 2 2 2 2 2 2 3 3 4 5 4 4 4 3 2 2 2 2 2 2 3 4 4 4 4 4 5 5 5 4 4 4 5 5 6 5 5 5 6 6 5 5 5 6 6 6 6 5 5 4 4 3 2 3 4 4 5 6 6 6 5 4 4 4 4 4 4 5 7 7 6 5 4 4 4 5 7 7 7 6 5 4 5 6 6 6 6 5 5 6 6 6 6 7 6 4 2 2 3 3 3 4 4 2 1 1 2 3 3 3 3 4 4 4 4 4 4 5 7 10 11 11 11 12 12 10 6 4 3 3 3 3 4 4 4 3 3 3 3 3 5 6 6 5 5 5 5 5 4 3 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 4 5 6 5 5 4 5 6 6 5 3 3 4 5 6 6 5 4 6 7 8 8 7 7 7 6 5 4 3 3 3 2 3 3 4 4 4 3 2 2 3 6 9 8 6 5 4 4 4 3 2 1 1 2 1 1 2 4 5 7 9 9 7 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 4 4 4 5 5 6 6 5 6 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 5 6 7 8 11 13 17 18 13 7 6 7 8 11 9 15 20 17 4 2 7 11 14 15 12 9 8 6 5 5 5 5 8 14 16 14 13 11 9 8 7 4 3 3 3 6 10 8 5 8 10 6 5 4 8 10 7 11 22 4 -4 5 6 2 3 3 1 4 10 7 -1 -1 6 11 17 20 14 9 9 15 17 10 1 -4 3 9 5 -1 6 15 8 7 14 5 -3 8 17 14 10 4 -5 7 29 23 7 -7 -12 1 7 4 6 9 8 6 6 6 13 25 20 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 3 3 3 4 4 5 4 4 4 3 2 2 3 3 2 2 2 3 3 2 2 1 1 5 10 13 11 7 5 4 4 5 5 4 3 3 2 3 3 3 2 3 3 3 3 3 3 3 3 3 2 1 1 1 3 3 2 2 2 2 2 3 3 3 3 3 4 5 5 5 5 6 6 6 5 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 6 5 5 4 2 3 3 3 4 5 5 5 5 4 3 3 4 4 5 6 7 9 8 5 4 4 6 6 7 7 7 7 5 4 4 5 6 6 6 5 5 6 6 6 6 7 6 5 5 4 4 4 4 4 3 3 1 1 3 3 3 3 3 3 4 4 4 4 4 4 5 7 8 9 10 12 13 13 11 8 5 4 2 3 2 3 3 3 2 2 2 3 3 3 4 3 3 3 4 4 4 3 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 2 2 2 3 3 3 5 7 7 6 5 3 3 5 7 8 6 4 5 6 7 7 7 7 7 8 7 6 5 4 3 2 2 2 3 4 4 4 4 3 4 6 9 9 7 5 4 3 3 2 2 1 1 1 1 1 2 3 4 6 9 10 8 5 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 6 7 7 11 17 20 18 13 8 6 6 7 10 10 5 7 3 -9 -12 -3 5 10 12 11 10 9 8 8 8 7 6 6 10 16 18 17 15 11 9 9 8 2 -0 2 5 7 5 2 4 11 11 8 5 0 0 3 9 16 18 -0 -1 8 5 3 9 8 2 4 5 2 5 7 5 9 16 16 11 8 6 8 12 7 2 1 5 7 1 -1 7 12 10 12 12 1 -2 7 15 16 12 15 9 19 28 16 -6 -19 -7 18 23 18 16 12 7 5 4 6 13 25 23 9 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 3 3 3 3 4 4 3 2 3 4 4 4 4 4 4 3 2 2 3 3 2 2 1 2 2 3 3 2 2 5 14 22 19 11 6 6 7 7 6 5 3 3 2 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 4 5 5 5 5 4 3 2 2 3 3 3 4 4 4 3 3 4 4 5 6 8 11 11 6 3 5 5 6 8 7 7 6 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 3 1 1 3 4 4 4 4 3 3 4 4 4 4 4 4 5 6 7 9 11 13 14 14 11 8 4 3 1 1 2 2 2 2 2 2 2 2 1 2 2 1 2 2 3 3 2 2 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 2 1 0 0 0 2 3 6 8 7 6 5 4 5 7 9 7 5 4 5 6 7 7 7 7 8 8 9 7 6 5 2 2 2 2 3 4 4 4 4 5 6 8 9 8 5 3 2 2 2 2 1 1 1 1 1 2 3 4 6 8 11 10 7 3 2 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 7 7 11 19 21 14 9 7 6 5 6 8 6 2 0 -5 -16 -8 3 8 10 9 8 8 7 8 9 9 8 8 9 12 15 18 18 16 11 6 9 9 2 0 2 5 8 5 2 4 6 6 6 2 -3 -4 -2 5 15 6 -2 4 6 4 9 17 9 0 3 3 5 13 13 9 12 12 9 7 8 10 7 6 -0 2 7 9 9 3 4 2 -0 6 10 5 2 7 9 10 5 9 19 19 29 26 9 -15 -17 7 29 33 29 23 15 9 6 4 6 13 23 23 11 4 5 5 5 5 4 5 4 4 4 4 5 4 4 4 4 5 5 4 4 4 5 4 4 3 4 5 4 4 3 3 3 4 4 3 3 3 3 4 4 4 5 4 3 2 2 3 3 2 1 1 1 3 3 4 3 2 5 12 20 21 16 11 8 8 8 6 5 4 3 4 3 4 3 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 7 7 8 8 7 7 7 7 7 7 5 3 3 4 4 5 6 6 6 4 2 1 2 2 2 2 3 4 3 4 5 5 5 6 8 13 14 8 3 5 6 8 9 8 7 6 5 5 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 6 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 5 6 7 9 12 14 15 14 10 6 3 0 0 1 2 2 2 2 1 1 1 2 2 2 2 1 1 2 2 2 1 1 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 1 -0 0 1 2 3 5 6 6 5 5 4 6 8 8 6 5 5 6 7 7 7 6 7 8 9 9 8 6 4 2 2 2 3 4 4 5 5 5 5 6 7 7 6 4 3 2 1 2 2 2 1 1 1 3 3 4 6 8 11 12 9 4 2 1 1 1 1 1 1 2 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 6 7 7 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 6 6 6 8 17 20 13 9 8 7 5 5 6 4 2 2 -2 -6 2 7 8 7 6 5 5 7 8 9 9 9 10 11 12 14 17 18 15 9 3 5 7 4 4 4 4 9 10 8 7 4 4 5 3 1 1 -3 -1 7 -2 1 11 7 3 13 24 12 3 3 1 6 14 11 10 10 7 5 5 5 7 10 8 -0 0 7 11 12 3 -1 -4 -0 7 6 1 4 11 11 7 2 7 13 21 32 24 4 -12 -4 14 22 25 24 20 13 9 7 5 5 11 21 25 14 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 3 1 2 3 4 3 1 -0 1 3 4 4 3 2 3 7 11 14 15 13 10 8 6 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 6 4 3 3 5 6 6 7 8 8 6 4 1 1 1 1 2 3 3 4 4 5 6 6 6 8 12 14 9 4 4 7 9 10 10 8 7 5 5 5 4 4 4 5 6 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 5 4 4 3 2 2 2 3 4 5 4 4 3 4 4 4 6 7 10 12 15 16 14 10 5 2 0 1 2 3 2 1 1 1 1 1 1 1 2 2 2 2 2 2 1 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 6 5 3 2 2 2 2 2 2 3 5 6 6 4 4 6 8 7 5 5 5 6 6 6 6 6 7 8 10 10 9 6 3 2 2 3 3 4 5 5 5 5 5 6 7 7 7 5 3 2 2 2 3 2 2 2 3 3 5 6 8 11 14 11 6 2 1 1 1 1 1 1 1 1 2 3 3 4 4 4 3 4 4 5 5 5 5 5 5 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 7 6 12 19 16 12 9 6 6 6 6 3 3 4 1 1 5 6 5 4 3 3 4 6 9 10 9 10 12 13 12 14 17 16 12 7 2 3 3 3 5 4 4 8 7 7 8 6 5 4 5 8 9 7 10 5 -4 1 6 1 -0 9 14 7 9 9 4 6 8 4 5 3 1 5 7 5 3 11 10 4 0 4 8 12 9 1 -2 3 4 -3 -5 3 10 9 3 1 4 7 22 33 21 3 -5 4 12 13 13 13 12 9 8 6 4 4 11 24 27 14 4 5 5 5 6 5 5 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 2 2 2 3 4 4 3 4 4 5 5 4 3 2 2 3 4 3 1 -0 1 2 3 3 3 2 2 3 5 8 10 11 10 7 5 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 6 6 4 4 4 6 9 7 7 9 8 8 7 3 1 1 2 4 5 4 4 4 5 6 7 7 7 9 10 8 4 3 5 7 9 10 10 9 6 5 4 4 3 3 4 5 6 6 6 6 6 6 6 7 7 7 6 6 7 6 7 8 8 8 6 5 3 2 1 2 2 3 4 5 5 4 3 3 3 3 4 4 6 10 14 16 17 15 10 6 3 2 4 4 2 1 1 2 1 1 0 1 2 2 2 2 2 2 1 0 0 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 3 3 2 2 2 3 4 6 7 5 4 4 6 6 6 5 5 5 5 6 6 5 5 6 7 10 11 9 6 3 3 3 3 4 4 4 4 4 4 4 6 8 9 8 5 3 3 4 4 3 3 3 3 4 4 5 7 11 15 14 9 4 2 1 2 1 0 1 0 1 1 1 2 3 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 6 6 7 6 9 19 21 13 9 7 7 7 3 1 3 1 0 3 5 4 3 2 3 3 4 6 9 9 9 13 14 13 13 16 18 14 9 5 3 4 2 2 4 4 6 4 2 5 7 5 3 2 5 10 8 6 11 13 15 12 1 -4 -1 4 -1 2 10 11 11 13 10 9 6 0 0 8 12 8 4 10 6 0 4 9 7 7 3 -5 4 18 11 -5 -7 1 5 2 -0 2 4 5 20 30 18 3 2 10 12 11 9 9 8 6 5 4 3 4 13 24 20 7 5 7 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 3 4 4 3 3 4 4 4 3 3 3 4 4 3 1 0 1 2 2 3 3 2 2 2 4 5 6 8 9 8 7 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 4 4 5 5 5 5 6 5 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 6 5 5 5 5 5 7 8 6 7 7 7 9 7 5 3 3 5 7 7 6 5 5 5 6 7 7 7 6 7 7 5 4 4 4 6 8 10 10 10 8 6 4 3 3 3 4 4 5 5 5 5 5 6 6 7 8 7 7 7 6 7 7 7 7 6 5 3 2 1 2 3 4 5 5 5 5 4 3 3 3 3 2 4 7 12 16 18 18 16 12 8 6 5 4 3 3 2 2 1 1 0 1 2 2 2 2 2 2 2 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 4 5 5 4 4 3 4 4 3 3 5 8 10 8 5 3 4 6 6 6 5 4 4 5 5 5 4 4 5 7 11 10 6 4 3 3 3 3 3 3 4 4 4 4 4 6 9 10 7 5 4 4 4 4 3 3 3 3 3 4 5 9 14 16 12 6 2 1 2 2 1 1 0 0 0 0 1 2 3 3 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 6 7 7 6 6 10 22 24 13 8 7 7 6 -1 -1 2 1 1 4 4 3 2 3 3 4 5 6 7 9 12 16 14 14 14 15 15 13 9 7 7 6 4 2 2 5 7 6 3 6 6 3 1 3 5 5 3 4 3 10 24 23 11 1 -0 4 1 5 8 7 11 17 18 20 11 4 5 13 17 12 5 4 -0 -2 6 12 6 -3 -12 -11 13 33 21 -1 -4 1 -3 -6 0 4 3 8 18 22 15 7 8 13 14 12 9 8 6 6 6 4 2 4 11 14 8 4 11 14 8 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 2 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 2 1 1 1 2 2 3 2 1 2 4 5 5 6 7 8 8 7 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 6 5 6 7 8 7 6 4 5 8 11 10 7 7 7 7 7 8 7 6 5 6 6 6 6 6 5 5 5 6 8 12 13 10 7 4 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 7 7 7 7 7 6 6 5 3 2 2 3 4 5 6 6 6 5 4 3 2 2 3 2 2 5 10 15 18 21 21 18 15 14 11 7 5 4 4 3 2 2 2 1 2 2 2 2 1 2 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 4 4 3 4 4 4 5 9 12 10 5 3 4 5 5 6 6 5 5 5 5 4 4 3 3 4 7 8 5 3 2 2 2 2 3 3 4 4 4 4 4 5 7 8 8 6 4 4 3 3 3 2 2 3 3 4 4 7 12 16 15 9 4 2 2 2 2 1 0 -0 -1 -1 -0 1 2 3 3 3 4 4 4 4 4 4 4 4 3 3 2 3 3 4 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 5 5 6 7 7 7 6 6 13 25 24 13 7 6 6 4 2 5 4 3 3 4 3 2 3 4 4 5 5 5 6 10 18 15 11 14 13 11 12 12 11 10 9 6 4 1 2 7 8 8 7 7 5 4 4 7 6 4 11 10 -2 1 13 16 13 6 2 5 6 5 5 3 3 7 16 15 8 8 13 18 18 13 8 6 3 3 6 7 5 -1 -4 -1 15 23 11 2 0 0 -4 -5 1 4 6 12 15 14 11 11 14 15 13 11 9 6 4 6 6 4 3 4 7 7 5 6 14 23 16 6 6 6 5 5 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 6 5 4 3 2 3 4 4 3 3 3 4 3 3 3 4 4 3 3 3 3 3 2 1 1 2 2 2 2 2 2 3 4 5 5 6 6 7 7 7 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 6 7 8 8 8 6 4 5 10 13 11 8 7 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 5 6 10 14 14 12 8 5 3 2 3 2 2 2 2 3 4 4 5 5 6 7 7 8 8 7 7 7 6 5 4 3 3 4 5 5 6 6 6 6 5 4 3 3 3 3 3 3 7 12 18 21 20 19 20 21 18 12 7 5 5 5 5 5 4 3 3 2 2 2 1 1 2 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 7 7 7 6 5 5 4 4 4 4 6 9 11 10 6 5 4 4 5 5 6 6 6 6 5 5 5 4 4 3 4 4 3 2 1 1 2 3 3 4 5 5 5 5 4 4 6 7 8 7 4 3 3 3 3 2 2 3 4 4 5 6 10 14 15 12 6 3 2 2 2 1 0 -1 -2 -2 -1 -1 1 2 2 3 4 4 3 4 4 4 3 3 3 2 2 2 2 3 4 5 5 4 4 4 4 5 5 6 6 6 7 7 6 6 7 7 6 6 7 8 7 6 6 8 16 26 24 13 6 4 5 6 11 16 8 3 2 2 1 2 3 4 6 6 5 5 9 18 22 13 11 14 10 10 12 13 12 10 6 3 2 3 6 8 8 8 8 5 4 4 5 9 7 10 22 9 -5 4 9 5 5 5 4 6 5 4 5 4 1 -1 4 -0 4 11 16 18 17 12 8 7 7 11 12 8 6 5 5 5 5 4 3 11 10 -0 -1 4 6 10 14 15 12 7 7 13 16 15 12 9 7 4 3 5 6 4 3 4 6 5 4 7 15 26 21 7 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 5 5 5 6 6 5 4 3 3 3 4 4 4 4 4 4 3 4 3 3 4 4 4 3 3 3 2 2 1 1 2 2 2 2 2 3 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 5 5 5 6 7 8 8 8 8 8 7 7 7 8 9 10 10 11 11 10 9 8 8 8 9 10 10 10 10 9 9 8 5 5 10 11 8 7 6 7 6 6 6 6 5 6 6 6 6 7 7 7 8 8 7 7 8 11 16 17 14 10 5 3 2 2 2 1 2 2 2 3 4 4 5 6 6 7 8 8 7 7 7 6 5 4 4 4 5 6 6 5 6 6 5 5 4 3 3 3 3 2 4 10 15 17 16 15 18 20 20 15 10 7 6 7 7 7 6 5 5 4 3 3 2 2 2 3 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 9 8 7 5 5 5 6 7 9 8 6 5 5 5 5 5 5 6 6 6 7 6 6 6 6 5 4 4 3 2 2 3 3 3 4 5 5 6 7 6 6 6 5 6 7 7 6 3 3 2 3 3 2 3 4 4 5 6 8 11 14 13 9 5 3 3 2 1 -0 -1 -2 -2 -2 -0 0 0 1 2 2 3 4 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 4 4 4 5 5 6 6 6 6 7 6 6 7 7 7 9 10 8 6 5 7 11 19 27 22 11 5 4 8 10 13 12 5 -0 -0 0 0 1 3 4 6 7 6 8 16 21 18 10 10 11 12 13 13 14 13 8 4 0 -0 6 10 10 7 7 6 6 3 2 3 6 7 15 22 5 -1 11 7 -2 1 4 6 7 5 5 6 4 5 5 1 -3 3 10 14 16 15 10 5 2 5 11 14 10 4 2 6 3 -6 -3 2 11 15 6 1 4 6 10 13 13 7 2 6 14 17 15 11 9 7 4 3 4 4 2 3 6 7 5 5 7 14 25 22 9 5 6 6 6 6 6 5 5 5 4 5 5 5 4 3 3 4 4 4 4 5 5 5 6 6 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 2 2 2 2 2 3 4 4 4 5 4 5 5 5 5 5 4 4 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 5 4 5 6 7 8 9 8 8 8 7 7 8 8 10 12 13 14 14 12 10 9 8 8 10 12 12 12 11 10 9 10 8 5 6 8 7 6 5 6 5 5 5 5 4 5 5 5 6 6 6 6 6 7 10 8 7 8 10 15 20 20 15 9 5 3 3 1 1 1 2 2 2 3 4 4 4 5 6 7 8 7 7 7 7 7 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 3 3 6 9 11 12 11 12 15 17 16 13 9 8 8 9 9 8 7 7 6 6 5 5 4 3 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 11 12 12 10 8 6 6 5 5 6 6 6 5 6 6 7 6 5 5 5 6 6 7 7 7 7 7 6 5 4 4 3 4 4 4 4 5 5 7 8 8 7 6 5 5 7 8 7 5 3 2 3 3 3 3 3 4 5 6 8 10 13 13 11 7 5 4 3 2 1 -0 -0 0 0 1 1 0 0 0 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 8 9 11 10 6 5 6 10 16 25 29 20 10 4 4 9 8 6 0 -1 -2 -2 -1 0 1 2 4 7 7 7 12 19 18 11 8 7 9 12 13 12 11 11 7 6 3 0 5 8 10 8 4 4 6 5 2 3 2 8 13 12 -1 3 8 2 1 4 6 8 8 6 5 4 2 6 12 9 7 5 9 11 12 16 13 4 -1 1 8 10 7 2 0 7 4 -6 -2 3 7 12 9 3 5 10 12 11 7 -0 -1 8 15 17 15 10 9 8 5 4 5 3 1 3 7 7 5 4 6 13 25 24 11 5 6 6 6 6 6 6 5 4 5 5 5 4 4 3 3 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 5 4 5 4 5 4 4 4 4 4 4 4 3 3 2 2 2 2 2 1 2 2 3 3 4 4 4 4 4 5 5 5 5 4 5 4 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 5 4 4 4 4 4 5 6 7 8 9 10 9 8 8 7 7 9 10 13 15 16 17 16 13 11 10 10 11 13 13 12 11 9 8 7 9 8 5 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 7 10 10 6 7 9 13 20 24 20 13 8 5 3 1 1 1 2 2 2 3 3 3 3 4 4 5 6 7 7 7 8 7 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 4 3 3 5 7 10 10 10 11 14 15 15 12 10 9 10 10 10 10 9 9 8 8 6 5 5 4 2 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 10 12 13 12 10 8 6 5 5 5 5 5 5 6 7 7 7 6 5 5 5 6 6 6 6 6 6 7 7 6 6 5 5 5 5 4 4 5 6 7 7 7 6 5 5 6 8 8 6 4 3 3 4 4 3 3 3 5 6 7 9 11 11 11 9 7 6 5 4 3 2 3 3 3 3 2 1 0 -0 0 2 3 3 3 2 3 3 3 3 3 3 3 2 2 3 4 4 4 4 5 5 4 5 5 5 5 5 6 7 8 9 11 11 7 4 5 11 18 27 34 28 16 8 2 -1 4 2 -2 -3 -2 -2 -2 -1 0 2 3 4 6 7 7 12 17 15 10 7 6 6 8 9 9 8 8 7 9 7 4 3 4 10 9 3 -0 2 5 3 3 3 9 12 0 -3 3 3 4 7 9 7 7 7 6 4 1 -0 5 10 12 11 6 8 10 8 14 9 1 2 4 5 8 7 4 4 9 9 4 1 7 9 6 3 4 11 17 13 7 1 -2 4 12 13 14 12 10 9 8 6 5 5 2 1 3 7 7 5 4 6 16 27 24 10 4 6 7 7 7 6 6 5 5 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 3 3 3 2 3 3 3 2 1 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 6 7 8 9 9 9 9 8 7 8 9 11 14 15 17 18 18 16 15 15 13 13 14 14 13 10 7 5 4 5 7 9 9 8 7 5 5 5 4 4 4 5 4 4 5 4 4 4 5 4 4 5 6 8 9 8 8 8 10 18 24 22 16 11 7 4 2 0 1 1 1 2 3 3 3 3 3 3 4 5 5 7 7 7 6 6 6 6 7 7 6 6 5 6 5 5 5 5 5 5 5 5 4 4 4 5 7 8 9 10 12 13 15 14 12 11 10 10 11 12 13 13 11 9 7 6 6 5 3 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 7 11 13 13 11 10 8 6 5 4 5 6 6 7 6 7 8 7 7 6 6 5 5 5 5 5 6 7 7 7 7 7 6 5 5 5 4 4 4 5 6 6 6 5 5 6 8 9 7 5 4 4 5 5 3 3 4 5 6 6 7 8 9 9 9 8 8 7 7 7 6 5 5 5 4 3 2 0 -0 0 1 2 3 3 2 2 2 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 5 4 5 5 6 7 9 11 12 8 4 5 12 21 30 37 35 22 11 2 -5 -7 -1 -3 -5 -3 -2 -2 -2 -0 1 2 3 5 6 6 7 10 13 14 14 11 8 6 6 6 6 5 7 9 11 11 10 4 7 12 11 8 3 1 3 2 3 7 11 9 -3 5 14 5 7 8 7 6 4 4 4 4 2 -0 2 5 9 9 8 7 6 8 10 -2 -1 9 9 4 3 4 4 8 12 12 11 4 9 11 2 -2 1 10 12 13 6 -1 6 18 17 10 11 10 8 8 8 7 6 5 3 3 4 6 6 5 4 10 24 29 19 7 4 5 7 7 8 7 6 5 4 4 5 4 4 4 3 4 5 5 5 5 4 5 5 5 5 6 6 6 6 5 5 5 5 5 4 5 5 5 4 5 5 4 4 4 3 3 3 3 3 4 4 2 2 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 4 5 6 6 7 8 8 9 9 9 8 8 8 9 11 13 15 17 18 18 17 16 16 17 15 15 15 12 10 8 6 4 4 5 6 8 11 11 7 6 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 5 6 7 7 8 8 8 12 21 24 21 14 8 5 3 2 1 0 0 2 4 4 4 3 3 3 3 3 4 5 6 6 6 5 5 6 6 6 6 5 4 5 5 5 5 5 5 5 5 6 5 4 4 4 4 5 6 7 8 10 12 13 12 11 11 12 12 13 15 16 14 10 8 7 6 5 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 6 9 12 13 12 11 10 8 6 5 4 6 7 8 7 6 7 7 8 8 7 6 5 5 4 5 6 7 7 8 8 8 7 6 5 5 5 5 5 5 4 5 5 5 6 7 8 8 7 6 4 4 5 5 4 3 4 4 5 5 6 6 7 8 8 8 8 9 9 10 8 7 5 5 4 3 2 1 0 1 1 2 3 3 2 2 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 5 7 8 10 11 9 5 4 11 22 30 31 28 23 16 8 -1 -8 -4 -2 -5 -5 -3 -3 -2 -1 0 2 3 4 5 6 6 6 8 11 15 18 17 13 11 9 6 3 4 7 10 9 12 11 5 9 11 13 10 6 4 2 0 5 11 9 3 5 13 15 9 8 5 3 3 3 4 4 6 5 1 -0 2 5 7 9 2 3 12 9 -4 1 10 12 8 4 1 1 7 8 4 3 4 10 13 6 3 2 6 11 11 2 -0 16 27 18 10 9 10 8 8 8 8 7 5 4 4 5 5 5 5 6 16 30 26 11 4 4 6 7 7 8 7 6 5 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 5 6 6 7 8 8 8 9 9 9 8 8 8 9 11 13 14 15 17 17 15 13 13 15 14 14 14 12 9 7 7 6 6 6 5 5 6 10 11 8 6 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 3 4 7 11 4 3 8 7 9 16 24 23 16 9 6 4 4 4 2 2 2 4 4 4 4 4 2 2 2 3 4 5 6 6 6 5 6 6 6 5 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 3 4 4 4 5 5 6 8 9 9 10 13 15 16 16 16 15 12 9 7 7 6 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 2 4 7 10 11 11 11 11 9 8 6 5 5 7 8 7 6 5 6 7 8 8 7 6 5 5 5 5 6 7 8 8 8 7 6 5 6 8 10 9 7 5 5 5 5 6 6 7 7 6 5 4 5 6 6 6 4 4 4 5 5 5 5 5 7 7 8 8 9 10 11 11 9 7 6 4 3 2 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 2 2 2 2 3 3 2 3 3 4 4 4 4 5 6 7 9 10 10 7 4 9 19 27 28 23 13 6 6 6 6 5 6 1 -4 -6 -4 -3 -1 -0 1 3 4 5 7 7 6 6 7 11 18 21 16 13 15 12 7 4 5 6 6 5 9 10 8 6 6 9 9 10 7 0 -1 7 12 5 2 10 10 3 12 11 4 0 2 6 5 5 9 9 3 -1 -1 1 2 3 -1 4 14 5 2 3 4 9 12 9 2 1 7 8 2 -1 2 12 15 9 6 2 3 20 13 3 9 21 23 15 10 10 10 9 8 9 10 8 5 3 3 4 4 4 5 9 22 31 21 7 4 4 6 7 8 8 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 4 4 4 4 5 5 4 3 3 4 5 4 4 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 6 6 7 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 9 11 13 14 14 15 15 14 11 7 5 8 11 11 9 7 6 7 7 7 7 6 6 5 5 7 9 7 5 5 5 5 5 5 5 4 3 3 3 2 3 3 3 4 3 4 6 12 6 1 7 7 8 12 19 21 18 13 9 7 6 6 5 4 5 6 6 7 7 7 4 2 2 2 3 4 5 5 6 6 6 6 5 4 3 4 4 5 4 4 4 4 5 4 5 5 5 5 5 4 4 4 3 3 3 3 3 5 6 8 12 15 16 16 15 15 13 10 8 9 10 10 11 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -0 -0 0 2 5 8 9 10 11 11 11 9 8 6 5 6 6 7 7 6 6 6 7 7 7 6 5 5 5 6 6 6 7 8 7 7 6 6 6 10 14 13 10 7 6 5 5 6 7 6 5 5 4 4 5 7 8 6 5 4 4 5 4 4 4 4 5 6 7 8 9 10 11 12 10 8 6 5 5 4 3 3 4 5 4 3 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 2 3 4 4 4 4 4 6 8 9 9 10 9 7 8 14 19 20 23 21 11 1 2 12 18 16 10 -0 -5 -6 -4 -2 -1 1 3 4 5 6 8 9 8 8 10 16 22 18 11 12 16 14 9 6 3 3 4 5 6 8 11 9 7 2 2 7 4 -2 2 10 9 1 2 6 5 2 9 5 -0 -2 2 8 5 4 9 12 6 1 0 1 0 2 3 7 6 -2 4 1 3 7 10 9 6 5 9 11 11 9 3 7 13 12 7 4 6 15 10 13 20 20 14 10 10 10 10 9 9 9 10 7 4 2 2 4 4 4 6 13 26 29 16 5 4 5 6 7 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 4 5 5 5 5 6 6 5 5 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 8 8 8 9 8 8 7 7 8 8 8 9 12 13 14 14 13 13 12 12 12 9 3 3 7 8 7 6 6 6 7 9 8 7 7 6 6 6 5 5 4 5 5 4 4 5 5 5 4 3 2 2 2 1 1 3 3 4 4 5 5 3 6 7 7 9 13 18 19 16 12 9 8 7 6 5 5 7 10 11 12 11 8 4 2 2 3 3 4 5 5 6 6 6 6 5 3 3 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 3 4 4 4 3 3 5 7 10 13 14 15 14 13 11 10 10 11 14 15 14 12 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 -0 -0 1 3 5 6 7 9 10 11 10 9 7 6 5 5 6 8 9 8 7 6 6 5 5 5 5 5 5 6 7 7 7 7 6 5 5 6 10 13 13 10 7 6 6 6 7 8 7 5 4 3 4 6 8 9 8 5 4 5 5 4 4 3 3 4 4 5 7 8 10 11 11 10 8 7 6 6 5 5 5 5 6 5 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 5 8 11 12 12 11 9 9 12 13 12 13 19 23 16 9 9 13 13 8 0 -7 -9 -6 -3 -1 1 2 3 5 6 7 9 10 13 16 18 21 20 14 13 14 14 15 13 8 5 5 6 6 8 6 3 5 6 -0 -3 -0 1 -2 5 11 5 -2 -0 2 5 8 2 -4 -4 -4 1 8 5 1 6 12 8 4 6 6 6 8 8 4 0 -1 3 -4 1 6 6 7 8 10 12 10 8 9 4 2 10 16 7 3 13 3 3 21 21 14 9 8 10 10 9 9 9 9 8 5 3 2 3 4 5 5 6 13 25 27 13 4 5 6 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 6 6 6 5 5 4 4 4 5 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 6 6 7 7 8 9 9 9 8 7 7 7 8 8 9 10 11 13 15 14 12 12 10 8 7 10 15 11 5 6 7 7 7 7 6 9 13 13 9 7 7 6 5 4 4 4 4 5 4 4 4 4 5 5 5 4 4 5 2 1 3 4 4 5 1 1 4 5 6 6 7 10 14 17 17 15 12 9 8 7 7 6 7 12 15 17 14 10 6 4 3 3 4 4 4 4 5 5 6 7 7 6 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 2 2 2 5 8 11 13 12 11 11 10 11 12 13 16 15 13 12 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 1 1 1 2 4 5 6 8 10 11 10 8 7 6 5 7 9 11 10 10 8 7 5 5 4 4 4 4 5 6 6 6 6 6 6 5 5 5 7 7 6 5 5 6 8 9 9 7 5 4 3 5 7 9 10 9 6 4 4 4 4 4 4 4 4 4 5 6 7 8 10 10 9 8 7 6 6 7 6 6 6 6 6 4 3 3 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 7 12 15 17 17 14 9 7 11 10 7 10 17 18 16 17 12 3 -5 -7 -10 -10 -8 -3 -1 1 1 2 4 5 7 8 9 13 19 20 17 15 13 12 16 14 11 16 14 9 8 8 5 4 7 1 -4 3 7 4 1 2 4 3 5 9 3 -0 0 2 5 4 -6 -4 -1 -3 2 7 5 1 5 12 12 13 16 14 11 12 11 4 1 8 8 -0 -1 1 5 9 8 11 12 8 5 6 5 3 11 18 5 1 11 4 7 23 19 10 7 8 10 10 9 9 9 8 5 3 2 4 5 6 6 5 5 11 23 27 13 4 6 7 7 7 7 7 6 6 5 5 4 4 4 4 4 5 4 4 3 3 5 6 5 4 4 5 5 6 6 6 7 6 6 6 6 5 5 5 5 5 4 3 5 5 6 6 5 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 6 6 6 6 5 6 6 5 5 4 4 4 5 5 6 7 7 7 8 8 8 8 8 7 6 7 7 8 9 10 11 13 15 14 13 11 10 8 5 1 -0 10 15 10 7 7 7 8 7 4 6 15 20 14 8 7 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 6 5 5 5 4 4 3 1 2 4 5 5 6 8 10 14 16 15 14 13 10 8 7 7 7 10 14 15 14 11 7 4 3 4 5 4 4 5 4 5 6 7 9 9 8 6 4 3 2 3 4 5 5 4 4 3 3 5 6 6 6 5 5 5 4 4 4 3 2 1 2 4 6 8 9 10 10 10 11 10 11 13 13 12 10 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 8 4 1 1 1 2 3 5 7 9 10 10 10 9 8 7 7 9 10 9 9 10 9 7 5 4 4 4 4 5 5 6 6 5 5 5 5 4 3 3 3 4 4 5 6 8 10 10 8 5 4 4 5 7 10 11 9 6 4 4 4 4 3 4 4 4 5 5 5 5 6 7 8 8 7 6 6 6 7 7 7 7 7 6 5 4 3 3 3 4 4 4 3 3 3 2 2 3 3 3 3 3 4 4 4 6 12 17 19 17 14 11 5 2 8 10 5 7 11 10 10 13 3 -10 -17 -13 -9 -5 -2 0 1 1 2 4 5 6 7 10 13 18 21 16 11 8 7 9 11 7 6 13 11 7 8 8 6 7 9 4 3 7 8 6 7 8 9 7 3 9 6 3 3 6 4 -2 -3 3 5 3 5 7 4 2 7 13 13 18 23 18 12 12 12 8 6 13 13 6 4 4 6 10 10 9 8 7 8 7 2 0 11 13 5 8 17 14 13 19 17 10 8 9 10 9 9 9 9 7 4 2 3 5 6 6 6 5 4 9 22 27 15 6 7 8 7 6 7 7 6 6 5 5 5 4 4 4 4 5 4 3 3 4 6 6 5 4 4 5 5 6 6 6 6 6 6 6 5 5 4 5 5 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 5 6 6 5 5 4 4 4 3 5 6 7 7 7 8 8 8 8 7 6 6 6 6 7 9 9 10 12 14 15 14 11 9 7 7 5 -1 -7 -1 8 10 8 7 7 7 6 1 -2 6 18 17 10 6 5 4 4 6 6 6 6 6 6 6 5 5 5 5 5 6 7 6 6 6 6 6 5 4 3 2 3 4 5 5 7 9 12 13 13 13 13 12 11 10 8 7 9 11 13 13 11 8 6 5 6 6 5 4 4 5 5 5 6 8 11 12 10 6 3 2 2 3 4 5 5 4 4 4 4 5 6 6 6 5 4 4 4 4 4 2 1 1 2 2 3 5 8 9 10 10 9 9 9 11 12 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 16 19 15 12 8 8 10 11 10 8 8 11 16 19 20 17 10 6 8 12 20 22 19 16 11 5 -0 -1 3 11 15 16 13 7 7 11 13 14 13 14 15 16 18 15 13 12 11 12 14 17 19 20 17 15 14 13 12 14 16 19 20 20 13 7 9 10 11 12 13 12 10 8 8 10 15 20 21 16 6 2 7 11 12 11 10 10 11 12 12 12 10 10 10 11 12 13 13 14 14 13 10 7 9 10 11 12 12 14 14 12 12 12 12 14 15 15 14 12 12 11 11 11 10 10 11 11 12 12 11 11 12 13 13 14 15 17 15 11 11 11 12 14 16 15 13 11 13 14 15 16 17 17 16 14 12 13 15 16 15 13 11 11 12 14 15 14 14 14 13 12 12 13 13 14 13 12 12 12 12 12 13 14 14 12 10 11 11 13 15 17 16 14 12 12 13 13 13 13 13 12 13 13 12 12 11 10 10 12 17 17 15 14 15 16 15 15 15 14 15 15 15 15 16 18 18 17 16 16 15 16 17 18 18 18 17 16 17 18 17 16 15 13 16 18 16 16 17 17 18 20 20 20 18 16 15 14 14 14 14 14 13 13 14 14 13 13 13 13 12 12 12 13 12 11 10 10 10 10 9 9 10 10 9 10 10 11 12 12 12 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 13 14 13 12 11 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 10 10 11 11 12 12 12 11 10 10 10 9 10 9 9 10 10 11 11 11 12 12 12 12 13 13 13 13 13 11 13 16 16 14 13 15 16 14 14 13 11 8 8 10 12 13 13 12 12 12 12 12 12 12 13 13 15 20 22 21 18 17 17 15 13 13 13 13 13 13 12 12 15 18 22 24 22 19 15 12 11 11 11 12 11 11 12 14 13 12 12 13 13 12 12 12 12 12 13 14 14 14 13 13 13 13 13 14 15 16 15 15 16 19 21 20 17 12 11 14 15 15 15 14 13 13 15 15 14 13 13 13 13 14 15 15 16 17 16 16 14 14 14 13 11 11 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 7 7 8 13 16 18 17 14 10 10 7 10 21 18 13 12 13 11 8 7 7 11 15 17 15 10 7 6 9 10 11 11 12 11 12 12 13 13 12 12 13 16 20 21 17 12 9 8 9 11 15 18 20 17 12 11 12 12 11 11 11 9 7 5 7 8 9 13 17 16 9 6 8 12 13 12 12 11 12 13 13 12 12 10 8 9 10 12 13 13 12 11 10 10 11 10 11 11 12 13 12 11 11 12 13 14 15 15 14 13 12 11 10 10 10 10 10 11 12 12 12 12 12 12 13 13 16 16 13 12 13 14 14 11 10 11 12 12 13 14 15 16 16 17 15 13 11 12 15 17 16 14 12 11 11 13 14 14 14 14 14 13 12 12 13 13 13 13 12 11 11 11 13 14 15 13 11 9 7 9 15 23 25 18 14 12 12 13 13 13 12 11 12 13 13 13 12 11 9 11 14 14 13 13 15 16 16 15 15 14 14 14 13 13 13 15 18 18 16 15 14 13 15 16 18 17 15 15 15 15 16 18 19 17 15 17 17 17 17 16 16 17 19 19 18 16 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 14 13 14 13 12 11 11 11 11 11 12 11 11 12 12 12 12 12 12 13 12 12 11 11 12 11 11 10 11 10 10 10 10 11 12 13 15 15 13 11 10 9 9 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 12 12 11 10 11 11 11 11 12 11 10 10 10 10 10 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 14 15 14 13 14 16 16 12 9 6 4 4 8 12 13 13 11 11 11 11 12 11 11 12 12 12 15 20 23 24 20 18 15 14 13 13 13 13 13 13 13 15 16 18 18 17 15 13 12 12 12 11 11 12 13 13 13 14 14 14 13 13 13 13 12 11 11 11 13 14 15 15 14 12 13 14 14 15 16 16 14 14 16 21 24 23 15 9 10 13 14 13 12 13 16 15 15 14 13 12 13 14 14 14 15 16 16 16 16 15 15 14 14 13 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 5 6 14 18 16 9 8 11 19 20 12 9 9 13 15 13 10 9 7 7 9 12 13 12 10 9 9 10 12 11 10 11 15 19 20 16 11 7 7 8 11 15 18 16 14 12 11 11 10 10 9 8 8 8 8 10 9 9 9 11 13 13 11 13 14 14 13 12 12 12 13 14 14 13 11 9 9 10 11 14 14 10 7 8 10 11 11 11 12 12 12 12 11 11 12 13 13 14 15 14 13 12 11 10 10 10 11 11 12 13 13 13 12 12 12 12 13 14 13 12 13 14 15 13 10 8 10 11 13 14 16 16 16 16 15 14 12 12 13 15 16 16 14 13 12 12 13 14 13 14 14 14 14 14 13 13 12 12 12 11 11 11 11 13 14 13 13 12 9 4 2 5 17 27 27 25 19 14 13 12 13 12 11 11 12 13 13 13 13 13 12 12 11 12 13 14 14 15 16 16 15 15 14 14 13 12 13 16 17 17 15 14 12 12 14 16 17 16 15 14 13 13 17 20 18 15 16 16 16 14 12 9 7 10 13 17 17 17 16 15 14 15 14 14 14 14 14 14 14 15 15 15 15 14 13 13 12 11 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 11 12 13 14 15 14 13 12 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 10 11 10 10 10 10 10 11 11 11 12 12 10 10 10 11 11 11 11 10 10 10 10 12 12 11 10 10 11 11 12 12 12 12 12 12 13 12 12 13 13 12 12 13 14 15 15 15 15 11 6 3 3 5 8 12 14 13 12 10 10 10 12 12 11 11 12 12 13 17 21 26 24 18 14 11 12 13 14 14 13 13 14 13 13 13 12 13 12 11 11 12 12 12 12 12 13 13 13 14 14 14 14 13 12 13 13 12 10 10 12 15 16 16 15 14 11 11 13 15 16 16 16 15 16 17 20 22 20 13 8 10 12 14 12 12 14 15 15 14 13 13 14 14 14 14 14 15 16 16 16 16 16 15 14 14 14 13 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 7 8 17 17 12 6 7 8 10 11 10 10 11 10 10 12 14 13 11 10 12 13 12 11 11 14 17 19 19 16 11 8 6 7 9 12 14 13 11 9 8 8 8 8 8 8 9 10 12 12 11 11 9 9 10 10 11 13 13 13 13 13 13 12 13 14 14 13 12 12 12 11 11 14 14 8 6 7 9 11 12 12 12 12 11 11 11 12 11 12 13 13 14 14 14 12 11 10 10 10 12 12 12 14 15 14 12 12 12 12 11 11 11 11 12 14 14 13 11 10 11 12 13 14 15 14 14 14 14 13 12 14 14 15 16 15 13 12 12 13 12 13 13 14 14 13 15 15 14 13 12 12 12 12 12 11 12 12 12 12 13 12 11 8 2 -1 2 12 21 27 29 24 17 13 13 13 12 11 11 12 12 13 14 14 13 11 11 12 12 13 14 13 14 16 17 17 16 15 16 14 14 15 16 16 16 15 13 12 12 14 17 18 18 15 13 11 15 19 18 16 15 14 14 15 14 11 8 8 10 13 16 17 17 17 16 16 16 16 16 15 15 15 14 15 15 15 15 14 12 12 11 12 12 12 12 12 12 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 14 14 14 14 13 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 10 10 11 11 12 13 13 12 12 13 12 12 12 12 13 13 13 15 16 17 17 16 13 9 6 6 9 13 14 14 14 12 11 10 10 12 12 12 11 11 12 12 14 16 21 23 20 15 13 12 13 13 13 13 12 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 11 13 14 15 14 14 13 12 12 12 11 9 12 15 17 16 15 14 12 11 12 13 14 15 15 16 17 17 17 17 21 18 13 11 10 10 10 11 13 13 12 13 14 15 15 14 14 14 13 14 14 15 16 16 15 15 14 14 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 12 15 15 13 13 12 10 8 9 10 11 14 15 14 15 15 16 17 19 19 18 16 12 9 6 5 6 7 9 10 10 9 8 9 10 9 8 8 9 11 11 10 11 11 11 10 9 8 9 11 12 13 13 14 13 13 12 12 13 13 12 12 12 12 11 12 9 5 6 8 9 10 11 12 12 11 11 11 11 11 12 12 12 13 13 14 14 12 11 11 10 11 12 13 14 14 15 15 13 11 11 11 11 11 11 11 12 13 13 12 11 12 14 15 15 13 12 11 12 13 14 15 14 15 14 14 15 14 13 13 12 12 12 12 13 13 13 13 14 15 15 14 13 11 12 12 11 11 11 12 13 12 12 12 12 13 10 4 -0 1 8 17 32 34 21 15 13 13 12 12 12 12 12 14 14 15 14 12 12 11 12 14 13 11 10 13 18 21 19 16 18 17 16 16 16 15 13 14 13 12 12 12 13 15 16 15 14 13 14 16 15 16 16 15 15 16 16 16 13 11 9 9 11 13 15 16 17 16 15 15 16 15 14 14 14 13 13 13 14 13 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 14 14 15 16 15 13 11 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 9 9 9 11 11 11 12 11 11 10 10 11 11 12 13 13 12 13 12 12 12 13 13 13 12 12 15 17 18 17 15 13 11 9 8 10 12 13 13 13 13 12 11 11 12 12 12 12 12 11 12 13 14 17 22 23 20 16 14 13 13 13 13 12 13 13 12 12 11 11 11 11 11 11 10 10 11 11 12 12 12 12 13 14 13 14 14 14 14 14 14 11 10 12 16 17 16 13 11 11 12 13 14 15 14 15 15 16 18 19 18 18 19 16 13 10 8 10 12 15 13 12 11 12 14 15 14 13 13 13 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 11 14 15 14 13 13 15 17 18 19 18 17 15 13 10 10 9 7 7 9 11 13 13 13 11 10 9 9 9 11 13 11 10 10 11 12 12 12 10 10 11 12 13 13 13 13 12 11 12 12 13 12 11 11 11 11 10 7 5 7 9 9 9 10 10 10 10 11 11 11 11 12 13 13 13 13 13 13 13 12 10 10 12 13 14 15 15 15 15 11 10 10 11 12 13 13 12 12 12 12 12 11 13 16 16 14 12 11 11 13 13 14 16 15 14 14 14 14 14 14 13 12 12 12 12 13 13 12 12 13 14 15 15 13 12 11 11 12 12 11 12 12 12 12 12 13 14 14 12 9 3 0 5 26 38 29 21 15 13 13 12 12 12 13 13 14 14 14 14 14 13 13 14 13 10 5 4 13 23 22 17 19 18 17 17 17 16 13 12 12 12 12 12 11 12 13 13 12 13 13 14 14 14 14 14 14 14 14 13 13 11 10 10 9 10 12 15 15 16 15 14 14 14 14 15 14 14 14 13 13 13 13 13 12 13 12 12 13 13 12 12 13 13 12 12 12 12 12 12 13 14 14 15 16 16 17 18 18 17 16 15 13 10 9 10 10 10 11 10 10 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 11 10 9 9 9 10 10 11 11 12 12 11 10 9 10 10 9 10 11 11 11 10 11 11 11 12 12 12 12 12 13 13 13 12 13 14 14 13 12 13 15 16 15 12 9 9 10 9 10 11 12 12 12 12 12 13 13 13 12 11 12 12 12 12 12 13 15 19 23 25 23 18 15 14 12 12 12 13 13 12 11 11 10 9 9 10 11 11 10 10 10 10 11 13 14 14 14 14 14 14 13 13 13 13 14 12 13 14 15 15 13 11 11 13 13 13 13 15 16 15 15 14 14 15 17 19 19 17 13 10 10 11 13 15 14 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 9 7 6 5 5 5 5 4 4 3 3 2 2 2 2 3 4 6 10 15 19 21 22 23 26 29 28 26 26 28 30 29 30 30 30 29 30 31 32 32 32 32 31 29 26 24 24 23 21 16 10 9 10 11 12 14 16 16 16 14 12 11 12 11 11 11 11 10 8 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 4 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 28 32 33 33 32 33 36 40 45 51 51 34 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 5 11 19 22 18 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 23 38 45 40 23 11 7 4 7 15 27 42 53 57 54 48 43 39 38 40 42 45 47 45 35 20 8 0 0 2 2 5 9 10 5 0 0 0 0 0 1 1 2 3 1 0 0 1 4 9 14 30 58 81 96 105 110 116 123 125 119 108 93 76 64 62 54 40 38 61 90 112 119 112 105 99 86 61 42 38 41 44 51 65 76 89 117 150 174 186 193 191 188 192 195 199 193 164 134 116 89 62 nan nan nan nan nan nan nan nan nan nan nan nan 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 6 6 5 6 5 4 3 3 2 2 1 1 2 2 4 6 10 15 18 20 22 25 27 27 26 26 26 24 24 26 27 27 27 27 28 28 28 29 30 30 28 26 24 21 20 18 14 8 7 8 8 9 11 12 14 13 11 9 9 10 10 10 10 10 8 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 23 25 24 23 21 20 22 25 32 37 36 21 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 11 18 20 17 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 1 7 20 36 42 34 16 6 3 1 1 4 14 28 38 44 44 43 40 38 40 42 41 40 39 40 40 34 23 10 3 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 14 34 58 76 100 116 123 126 122 115 108 101 99 103 97 87 91 108 121 131 133 128 122 118 111 96 80 74 79 86 93 97 104 125 155 177 189 192 189 179 178 188 196 206 205 183 155 130 102 74 nan nan nan nan nan nan nan nan nan nan nan 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 9 9 9 7 6 5 5 5 5 4 4 3 2 2 1 1 1 2 4 7 12 16 18 20 22 24 25 25 25 23 22 21 22 23 23 23 22 22 23 23 23 24 24 24 23 21 17 14 12 10 7 6 6 7 7 8 9 10 9 6 6 6 6 6 7 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 13 17 15 12 9 6 6 7 14 18 17 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 2 3 3 2 1 3 2 4 8 11 12 9 4 0 0 0 0 0 0 0 0 0 0 1 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 32 38 27 8 0 0 0 0 1 5 14 26 34 36 38 35 34 38 45 46 45 40 38 37 38 35 27 18 10 4 2 2 3 3 2 2 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 11 44 68 89 112 123 127 126 122 118 115 114 115 113 111 116 122 128 130 127 120 116 123 134 134 125 122 124 127 127 126 138 161 177 185 189 188 182 174 177 190 201 208 208 194 168 143 117 85 69 nan nan nan nan nan nan nan nan nan nan 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 8 8 7 6 5 5 5 5 5 5 5 4 3 2 2 2 2 3 4 7 12 16 19 22 21 22 23 23 22 20 19 19 19 20 21 19 18 17 16 15 16 16 16 17 16 13 9 6 5 3 3 4 5 6 6 6 6 5 3 3 3 3 3 4 4 4 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 5 2 1 0 0 2 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 3 3 4 5 6 7 7 5 3 1 0 0 0 0 0 0 0 0 3 10 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 28 33 20 3 0 0 0 0 0 1 4 14 25 30 33 31 30 33 39 45 50 51 43 39 38 37 34 28 23 16 13 11 9 8 10 10 9 7 6 10 8 2 0 0 0 1 1 0 0 0 0 12 52 91 107 109 114 122 125 126 127 126 123 123 125 125 124 123 124 123 120 112 101 102 118 137 144 144 144 145 146 151 158 165 171 174 174 176 178 178 178 184 194 206 210 205 196 176 150 122 92 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 nan nan nan
nan nan nan nan nan nan nan 7 7 6 7 6 6 5 4 4 4 4 4 5 4 4 3 2 3 3 3 3 4 6 9 15 19 20 20 20 20 18 18 16 15 16 18 20 19 16 15 12 11 10 10 10 11 10 10 7 4 3 2 2 2 3 4 4 4 3 3 2 2 2 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 5 5 6 6 6 6 7 6 5 2 0 0 0 0 0 0 0 0 3 10 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 20 26 10 0 0 0 0 0 0 0 1 6 16 28 30 31 30 32 35 38 44 50 49 42 37 35 35 32 27 21 20 18 15 10 9 11 10 11 14 17 15 7 1 0 0 4 14 19 6 1 5 37 98 124 130 123 118 119 123 122 128 127 125 125 128 132 134 131 126 119 110 99 90 92 108 128 139 142 140 137 138 148 162 167 160 153 154 155 160 166 172 182 192 197 194 186 180 163 142 121 91 73 nan nan nan nan nan nan nan nan nan nan 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 6 6 6 5 5 4 3 2 2 2 3 3 3 2 2 3 3 3 3 3 3 5 8 12 17 19 18 17 16 15 14 14 14 15 17 17 16 14 12 10 8 8 7 6 6 6 5 4 2 2 2 2 2 3 2 2 2 2 2 2 3 3 3 3 3 2 2 3 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 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 5 7 7 7 8 8 8 8 7 7 6 2 0 0 0 0 0 0 0 0 2 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 16 1 0 0 0 0 0 0 0 0 12 21 26 29 30 30 32 34 36 40 44 44 38 32 31 32 32 28 24 22 21 17 10 4 2 1 1 4 9 15 15 11 8 4 12 37 71 54 33 30 80 120 126 122 119 119 120 121 121 124 125 122 124 129 135 138 135 127 122 115 103 91 89 99 114 127 133 130 122 120 127 141 152 147 139 139 135 136 145 157 169 180 184 172 162 158 141 123 111 83 67 nan nan nan nan nan nan nan nan nan 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 6 6 6 6 5 5 4 3 2 2 2 2 2 2 2 1 1 2 3 3 3 3 3 4 6 10 14 16 16 16 16 16 15 14 13 12 13 13 12 10 9 8 6 5 5 4 4 4 3 2 1 2 2 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 6 5 5 6 5 5 5 5 5 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 8 8 9 8 8 8 8 5 2 0 0 1 1 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 9 16 2 0 0 0 0 0 0 0 0 7 16 21 25 28 30 32 33 36 40 41 37 32 27 22 20 23 28 30 28 25 20 13 6 3 0 0 0 1 4 12 35 52 61 56 71 119 121 109 97 120 128 123 118 113 119 125 125 124 124 122 118 118 124 132 135 131 126 126 125 113 99 93 95 101 109 116 117 112 108 111 119 130 134 130 124 119 122 133 144 155 164 166 160 152 144 131 116 100 76 62 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 6 6 5 5 5 4 3 2 2 2 3 3 3 2 1 0 0 2 3 4 4 4 3 4 6 10 13 15 16 17 17 16 15 14 13 12 11 11 10 9 8 6 5 4 4 3 3 2 1 1 1 1 2 2 2 2 2 3 4 4 5 5 5 5 4 4 3 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 9 9 8 10 15 15 8 2 1 5 10 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 9 11 3 0 0 0 0 0 0 0 0 1 3 10 16 23 28 30 31 32 36 39 39 36 30 22 17 16 16 18 25 26 24 22 20 17 4 2 4 2 1 2 30 61 95 101 118 134 144 148 138 124 117 121 115 104 106 117 124 128 128 123 119 115 116 123 130 130 128 131 131 121 108 100 96 93 93 96 101 101 98 98 102 112 119 118 114 113 122 133 140 147 150 151 152 149 143 132 117 96 74 63 61 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 3 4 4 5 5 4 5 6 4 2 0 0 1 2 4 4 2 1 0 1 3 5 5 4 3 3 5 7 9 11 13 14 16 16 16 14 13 12 11 10 10 9 8 7 5 4 4 3 2 2 1 0 1 1 1 2 2 2 2 2 3 4 5 5 5 5 5 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 8 8 8 8 11 17 23 22 13 3 4 15 27 28 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 1 0 0 0 0 0 1 8 8 2 0 0 0 0 0 0 0 0 0 0 0 4 11 16 19 21 22 29 33 37 39 37 32 27 21 17 18 22 26 26 28 34 40 35 27 27 22 17 15 29 53 80 90 99 115 132 143 143 139 138 133 119 102 94 99 112 122 123 120 119 119 117 121 130 135 136 136 131 119 108 103 98 93 90 91 95 95 92 89 89 96 103 107 108 113 122 132 140 143 140 139 142 145 145 137 119 91 70 62 57 nan nan nan nan nan nan nan nan 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 2 2 3 3 5 6 6 3 1 0 0 1 3 4 4 2 0 0 2 4 4 2 1 1 2 4 6 7 9 12 14 15 15 13 12 11 10 10 10 9 8 7 5 3 3 2 2 1 1 0 1 1 1 1 1 2 1 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 7 8 16 23 28 26 18 15 21 31 36 31 16 2 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 2 10 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 9 21 27 30 34 38 39 39 33 29 27 30 34 31 29 41 58 66 68 67 61 53 48 51 59 78 90 96 101 112 130 148 156 149 140 130 112 95 88 95 106 111 111 114 120 125 129 135 138 137 132 123 110 103 103 100 96 95 96 97 97 95 91 85 85 90 96 103 112 120 126 134 138 131 127 131 140 147 144 126 94 66 54 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 nan
nan nan nan nan nan 0 0 0 0 0 1 1 2 4 5 6 4 2 0 0 0 1 2 3 1 0 0 1 3 3 2 0 0 0 1 3 4 6 9 12 14 15 15 14 12 11 10 10 9 8 6 5 3 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 2 2 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 7 7 5 7 17 25 29 28 24 24 30 34 31 22 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 1 7 13 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 7 16 24 28 33 40 45 47 48 49 52 55 51 44 50 67 83 93 94 88 80 70 67 73 84 92 98 100 105 122 145 157 151 143 138 128 111 96 95 104 110 112 116 125 133 138 138 135 131 125 112 98 98 101 101 101 100 99 99 99 99 96 89 82 83 89 98 108 115 117 124 131 126 118 120 133 146 151 139 107 73 52 33 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 1 0 0 0 1 2 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 3 5 8 11 14 16 18 18 16 13 12 11 10 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 6 4 4 13 21 25 24 22 20 23 21 16 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 2 10 18 27 35 44 54 67 78 85 91 86 72 66 73 85 96 101 97 86 76 72 75 84 98 110 113 111 120 139 150 140 132 137 140 129 109 102 111 121 125 130 140 144 143 138 131 128 123 106 90 91 99 104 106 106 104 101 98 98 96 89 81 79 83 90 100 106 107 112 122 119 110 110 122 137 146 142 122 94 68 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 0 1 2 1 0 0 0 2 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 9 12 15 17 19 19 16 14 12 11 9 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 6 4 4 8 12 14 10 9 8 8 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 14 25 37 51 73 94 111 121 116 97 83 80 84 91 95 93 86 80 78 82 90 104 122 128 125 127 138 141 123 115 130 142 136 116 108 114 123 128 133 138 142 142 137 131 129 124 109 91 88 97 107 111 112 108 100 96 94 92 83 72 69 73 80 87 94 95 97 103 104 100 99 108 122 132 134 125 111 94 67 47 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 2 3 2 0 0 0 2 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 17 19 18 17 14 12 10 8 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 1 2 2 3 4 4 4 4 4 4 4 4 4 4 5 4 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 6 6 3 2 5 8 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 0 0 0 0 0 0 0 0 0 0 0 0 3 14 30 44 61 84 104 118 117 103 90 86 88 88 86 86 83 80 84 92 102 112 131 140 142 143 146 139 122 115 125 138 136 121 112 113 117 120 123 126 132 140 141 137 134 130 118 101 95 103 111 115 116 112 101 93 91 89 79 66 60 61 66 74 79 80 80 84 88 88 88 96 107 115 119 119 116 113 98 78 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 6 7 6 4 2 1 0 1 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 16 17 16 14 12 10 8 6 4 2 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 5 5 4 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 10 9 8 5 4 4 6 6 2 0 3 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 31 44 56 72 90 99 97 88 81 85 95 94 89 85 81 80 86 102 112 122 137 147 152 153 154 150 135 123 124 133 135 124 115 117 118 118 117 117 126 140 145 145 142 136 126 112 107 111 113 115 116 115 107 98 92 91 85 73 62 56 56 62 69 71 70 73 76 78 83 91 99 105 108 110 111 118 119 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 9 10 11 10 8 6 4 2 0 1 3 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 2 5 8 11 13 13 12 10 8 7 6 4 1 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 5 4 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 16 16 13 10 8 4 4 4 6 6 3 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 30 47 58 68 83 89 81 72 69 80 100 101 94 90 87 89 92 108 118 130 140 148 153 153 154 154 143 128 123 128 131 126 122 123 122 120 117 112 114 125 138 146 148 140 127 115 114 115 114 114 116 118 115 109 103 103 102 91 77 67 61 60 64 68 69 71 73 75 81 89 94 98 102 103 107 115 119 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 9 9 10 10 10 10 9 6 3 1 0 1 1 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 1 2 3 5 8 8 7 6 6 4 3 1 0 0 0 0 0 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 5 5 4 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 15 16 16 14 11 8 5 5 5 6 6 5 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 0 0 0 0 0 0 0 0 4 23 43 50 59 77 87 76 65 64 74 92 102 99 94 98 109 113 120 126 132 138 145 150 152 151 146 137 128 123 122 123 123 123 125 123 120 116 108 97 100 114 133 146 141 126 110 109 110 108 110 114 118 120 119 119 120 121 115 105 94 83 74 70 71 73 74 76 77 83 89 89 92 97 100 105 109 112 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 11 8 9 10 10 10 10 9 7 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 1 2 3 4 3 2 1 1 0 0 0 0 0 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 4 4 4 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 14 14 14 15 14 11 8 6 6 7 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 32 42 42 49 68 87 82 69 64 72 92 102 101 98 108 129 142 145 142 138 138 141 145 147 143 131 123 123 123 119 115 114 117 121 122 122 117 108 94 87 92 110 129 135 128 112 104 103 104 106 109 112 117 123 127 129 131 132 130 122 110 101 90 86 84 83 85 87 91 94 92 94 97 101 107 108 106 105 107 nan nan nan 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 13 11 10 9 9 9 10 11 11 9 5 2 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 1 1 1 0 1 0 0 0 1 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 11 12 12 12 13 14 15 13 10 8 7 7 7 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 38 45 47 51 61 81 84 74 68 73 89 98 100 101 113 137 154 156 154 148 144 142 144 143 133 119 115 120 125 120 115 109 112 117 120 125 127 122 111 98 89 94 111 127 133 125 112 104 104 103 102 102 109 118 124 125 129 132 138 135 126 119 115 110 106 103 101 102 104 105 104 105 106 108 112 111 104 98 97 nan nan nan 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 14 14 12 10 8 7 8 10 13 14 12 7 3 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 1 1 1 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 1 4 7 11 11 10 11 11 11 12 13 13 11 9 8 8 8 8 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 29 42 48 50 56 70 81 78 74 77 88 96 98 104 116 135 149 152 150 148 148 148 149 146 133 118 116 122 127 126 122 118 119 120 121 126 131 134 128 112 95 87 97 118 133 134 122 110 107 105 100 95 100 109 115 116 118 125 132 134 131 130 131 130 128 124 120 115 114 116 115 118 119 120 122 121 112 98 89 nan nan nan 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 16 16 14 12 10 8 7 8 10 13 14 11 7 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 1 1 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 0 2 5 9 11 11 10 9 9 9 9 10 10 10 11 11 10 9 8 9 9 9 8 8 6 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 8 17 22 35 44 48 52 62 77 80 74 75 83 92 99 106 115 126 132 124 121 129 139 146 151 148 136 126 121 124 129 132 133 132 131 129 128 128 129 131 131 121 103 87 86 104 124 131 125 113 110 110 102 96 97 103 108 109 112 118 127 133 134 135 137 136 134 135 134 130 126 125 124 125 128 132 139 139 130 116 101 nan nan nan 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 16 16 15 14 13 12 9 7 6 6 8 8 8 8 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 3 7 12 12 11 10 8 7 7 8 8 8 8 9 12 15 15 13 10 8 8 8 8 8 8 7 6 4 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 17 21 28 38 45 50 58 72 78 74 71 73 80 91 104 110 114 110 97 93 103 114 127 139 145 143 136 129 128 130 133 135 136 137 137 136 133 129 126 126 125 115 94 80 92 114 127 125 116 112 109 105 98 96 100 104 105 106 112 122 132 137 137 132 124 121 129 136 136 138 138 135 133 134 139 145 148 146 138 125 nan nan 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 14 14 14 13 13 14 14 10 6 5 4 5 6 6 10 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 5 10 14 13 11 8 7 6 6 6 6 7 8 9 15 19 20 19 16 12 9 7 7 7 7 7 7 6 6 5 4 5 5 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 15 20 23 28 38 48 54 65 76 75 70 67 68 77 93 103 100 93 84 83 88 96 108 122 133 139 140 136 131 129 128 128 129 134 134 135 138 135 127 125 129 129 111 89 87 103 121 126 121 115 108 104 98 94 95 99 102 102 107 117 130 137 136 124 105 102 116 127 132 140 146 143 137 134 136 142 149 153 152 148 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 13 13 12 11 10 9 9 10 9 6 6 6 5 6 6 11 21 26 19 12 8 6 5 3 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 3 7 11 13 12 10 8 7 7 7 6 7 7 8 10 15 20 22 23 21 18 14 9 7 7 7 7 8 8 8 9 9 9 8 7 6 5 2 3 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 1 1 0 0 0 0 1 0 0 4 11 16 18 20 26 42 49 57 72 77 72 68 64 69 83 95 94 88 82 79 81 85 93 104 115 124 130 133 132 129 126 124 123 124 126 128 134 135 133 132 133 134 128 111 99 100 112 123 124 118 110 102 95 91 90 93 100 100 105 114 129 137 135 117 97 93 105 119 128 138 147 144 134 128 129 136 144 150 151 149 143 nan 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 11 10 8 6 4 3 3 4 4 5 5 5 6 8 12 20 26 24 19 17 15 12 10 8 7 6 5 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 4 8 11 12 12 10 9 8 8 8 7 7 7 8 8 13 20 24 26 24 22 20 14 8 6 7 7 7 7 8 8 9 8 8 7 7 7 6 6 6 6 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 3 3 1 2 7 12 13 14 15 29 40 48 64 72 74 72 69 70 79 91 95 93 89 83 78 78 82 88 97 104 110 116 120 122 123 122 122 123 122 121 125 129 131 133 133 133 134 130 121 107 104 115 123 121 114 106 99 92 89 90 97 101 105 113 126 133 130 115 97 91 100 114 123 131 140 140 129 124 126 134 141 144 141 137 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 9 6 4 2 0 0 0 1 1 2 3 4 5 8 12 18 22 22 17 13 11 11 13 14 14 11 10 11 12 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 2 1 3 6 8 10 11 11 10 10 9 8 7 7 7 8 8 12 20 24 27 26 23 20 15 8 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 6 6 6 5 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 2 4 2 0 3 7 11 11 10 15 27 39 54 66 71 71 71 73 80 92 100 103 101 93 82 76 76 78 82 88 94 97 99 101 104 108 111 116 115 115 118 122 126 129 130 130 132 136 134 126 114 111 120 125 124 113 102 93 90 90 95 102 105 112 122 128 126 116 102 95 99 108 115 122 130 133 126 125 129 137 140 140 135 129 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 4 2 0 0 0 0 0 0 0 0 1 3 5 10 15 18 17 13 8 6 7 11 14 16 15 13 15 18 19 16 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 14 10 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 1 1 2 2 2 2 2 2 2 2 3 6 8 11 11 10 9 8 7 6 8 10 12 13 15 19 23 25 25 22 18 12 7 7 7 7 8 8 9 10 9 8 7 7 8 8 8 8 8 7 6 6 6 6 6 6 5 6 6 2 0 1 0 1 2 2 2 3 2 1 0 0 0 1 1 0 0 0 0 0 0 1 2 2 2 2 2 3 6 6 2 4 4 0 0 2 9 10 8 7 13 27 44 61 72 72 70 71 79 92 104 112 117 109 90 79 76 74 74 79 84 86 85 85 85 87 90 93 97 101 104 108 113 118 122 127 132 136 137 136 129 121 120 132 139 128 110 98 92 90 92 96 101 110 119 123 121 115 106 100 101 105 108 113 122 126 124 127 133 138 138 137 136 134 126 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 3 1 0 0 0 0 0 0 0 0 0 1 2 6 11 15 15 11 6 5 6 9 12 12 12 13 15 18 19 16 12 10 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 3 2 2 2 2 2 2 2 3 5 7 10 11 10 9 8 7 6 7 11 16 18 19 20 21 21 22 22 19 15 8 7 8 9 8 9 10 11 11 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 5 3 4 5 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 1 3 4 3 3 3 5 12 16 16 12 8 4 0 0 0 2 4 4 3 2 13 32 51 67 75 74 71 74 84 97 109 118 120 104 88 78 72 71 73 78 80 81 81 80 81 82 83 85 88 90 94 96 100 112 123 132 136 137 139 140 137 129 138 148 147 130 110 99 94 93 93 96 104 114 118 118 112 106 102 102 105 106 111 118 122 122 127 134 137 137 138 139 140 136 126 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 7 4 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 15 14 8 5 6 7 8 8 9 10 12 14 12 10 8 8 10 10 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 4 4 3 4 5 6 6 6 8 11 13 11 8 6 6 6 8 10 14 16 18 21 23 24 22 20 18 16 13 10 9 9 10 9 10 11 11 11 10 9 9 9 9 8 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 7 6 4 1 0 0 0 0 0 0 0 2 4 5 6 5 3 2 6 17 20 18 12 5 1 0 0 0 0 0 0 0 0 5 18 38 56 72 79 78 74 75 82 99 113 120 115 100 83 72 68 68 72 77 81 82 82 82 83 84 83 83 84 86 86 88 106 115 123 128 133 138 144 146 141 142 150 155 149 132 113 100 96 96 95 102 109 111 114 112 105 101 100 104 108 115 121 122 120 123 130 136 139 140 141 141 138 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 16 16 9 6 5 6 6 6 7 8 8 7 5 4 4 5 8 10 8 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 1 2 2 2 2 2 1 1 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 2 2 3 5 7 8 8 7 6 6 5 5 5 7 8 7 7 7 9 11 12 10 8 6 7 8 11 13 14 14 15 18 23 26 24 21 18 15 14 15 13 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 10 10 10 9 8 8 8 9 10 10 9 8 6 5 4 1 0 0 0 0 0 0 1 4 6 7 5 2 2 6 13 14 9 4 1 0 0 0 0 0 0 0 0 0 1 6 20 37 58 76 88 84 77 72 85 105 117 121 111 92 76 68 64 67 74 82 85 86 85 84 82 81 79 78 77 75 81 97 109 112 115 121 132 144 150 148 146 142 143 155 147 128 109 98 94 96 101 106 110 113 111 106 100 97 102 113 124 128 122 113 114 124 134 138 139 138 136 132 125 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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45 37 29 25 21 17 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 7 16 17 12 6 2 0 0 1 2 4 4 2 1 0 0 0 2 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 3 3 1 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 7 7 8 8 9 12 14 15 16 14 12 10 9 5 1 1 0 0 0 0 4 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 10 18 24 25 24 24 24 23 20 18 16 16 14 12 10 10 10 8 7 8 9 11 12 12 13 13 14 14 13 13 12 12 12 11 18 21 23 27 29 28 27 25 23 22 21 19 19 19 17 13 8 5 4 2 0 0 0 0 0 0 0 0 0 0 0 4 6 3 0 0 0 1 1 0 0 1 10 12 12 8 5 3 1 1 3 18 38 62 80 84 72 65 77 98 112 116 115 108 95 82 74 70 67 68 68 67 64 63 62 60 55 48 44 48 62 84 103 107 114 127 139 145 142 142 139 139 134 131 127 111 101 97 91 88 92 97 98 96 92 94 98 107 119 126 117 99 89 92 102 113 120 123 123 121 116 107 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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