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