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 3 4 4 3 2 2 3 4 4 4 3 4 5 6 7 7 6 5 5 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 5 6 5 6 5 5 5 5 5 5 5 5 4 4 5 5 6 7 7 7 6 5 5 5 4 3 4 3 3 4 5 6 8 8 8 8 6 5 5 6 5 4 2 -1 -1 2 5 3 4 8 8 -2 1 2 2 4 5 3 6 11 8 5 4 5 7 6 5 3 7 10 7 4 8 8 3 1 4 9 10 4 -1 7 15 8 -4 -3 2 4 4 2 1 4 3 -2 -3 -2 -0 3 6 9 5 -0 2 4 5 4 1 0 2 3 2 7 20 37 32 14 7 5 3 1 2 2 3 3 3 4 4 5 5 5 6 7 7 7 7 7 11 14 16 14 10 6 5 4 4 4 4 4 3 4 4 3 2 2 3 3 3 4 5 7 8 6 5 4 5 4 3 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 6 6 3 2 4 5 5 5 4 3 3 3 3 4 4 4 6 7 7 6 5 3 3 2 1 2 3 4 4 4 3 4 4 5 6 6 6 7 9 11 11 9 7 5 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 7 15 21 15 10 10 12 13 8 5 1 -4 -9 -2 3 2 6 7 3 3 5 5 5 1 -6 -8 -7 -7 -5 -1 3 4 4 5 6 8 9 11 13 14 13 11 9 7 7 7 8 8 7 6 7 9 9 8 9 10 10 8 7 6 4 1 1 3 5 6 14 22 21 13 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 5 4 3 2 2 2 2 3 3 3 3 4 5 6 7 7 6 5 5 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 4 4 4 4 3 4 4 5 4 4 3 3 4 4 4 3 3 2 3 4 4 4 5 4 4 5 4 4 4 4 4 5 4 4 5 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 5 5 6 5 5 5 5 6 6 7 8 7 6 5 5 5 5 4 4 4 4 4 5 7 7 8 9 8 7 6 6 5 5 4 2 -1 -1 3 5 3 6 15 8 -1 2 -1 4 6 5 5 5 5 7 8 8 8 11 13 9 6 7 8 7 6 10 11 8 6 5 7 10 9 1 3 13 11 1 -4 0 8 10 5 3 5 4 0 1 -0 -2 -0 6 9 4 0 3 4 4 5 5 5 6 8 9 14 27 34 21 8 6 4 2 2 2 2 3 3 3 4 4 4 4 4 6 7 7 7 7 7 8 11 14 15 12 8 5 5 5 4 4 3 3 4 3 3 2 2 2 3 4 4 4 5 7 6 5 5 5 4 3 4 5 6 5 4 5 4 4 5 6 5 5 5 4 4 4 2 -3 -1 4 4 4 4 4 3 3 3 4 5 4 4 4 6 7 7 5 4 3 3 2 2 3 3 4 4 4 3 3 4 5 5 6 6 8 11 12 10 6 4 4 3 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 4 8 14 17 15 13 12 13 12 10 9 6 3 2 4 4 7 7 5 7 7 5 3 4 3 -1 -3 -3 -4 -2 2 4 4 4 4 4 5 7 9 11 9 7 7 7 7 7 8 10 10 10 9 10 10 9 8 7 6 5 4 3 2 2 1 3 5 8 10 11 10 9 8 7 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 1 3 4 5 4 3 2 2 2 2 2 2 3 3 5 5 6 6 6 6 5 5 4 4 4 5 4 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 5 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 4 4 4 3 3 4 3 4 4 5 5 6 6 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 7 7 8 8 7 6 6 6 6 5 5 4 4 5 5 5 6 7 7 8 8 7 7 6 5 4 2 -1 -3 2 9 4 1 7 16 5 1 4 -0 5 8 7 5 4 3 4 6 8 5 8 11 9 7 6 6 5 6 8 9 10 11 6 5 9 12 10 8 9 8 5 3 5 10 9 6 6 7 9 4 2 2 0 2 5 6 4 4 4 4 5 7 9 9 10 12 17 26 33 26 12 5 5 4 2 2 2 2 3 4 3 3 4 4 5 4 5 6 7 7 6 6 8 9 12 13 13 12 9 8 6 5 4 3 4 3 3 3 3 2 2 3 4 4 4 4 4 4 5 5 4 4 5 5 6 5 5 5 5 4 5 5 5 6 6 6 5 4 4 3 -4 -6 -0 3 1 0 2 3 3 3 5 6 5 3 2 4 6 6 5 5 5 4 3 2 3 3 4 4 4 3 4 4 5 5 5 6 8 11 12 9 6 4 3 4 3 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 6 11 13 12 10 8 8 7 6 6 6 5 6 7 5 4 5 7 8 5 3 4 6 4 3 3 2 3 4 4 4 3 3 3 5 5 6 6 7 6 6 6 7 8 9 11 10 10 10 10 9 8 6 5 4 4 4 3 3 2 2 3 4 6 6 7 7 7 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 3 4 4 4 3 3 2 2 2 2 2 3 3 4 5 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 3 2 2 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 4 4 3 3 3 4 3 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 9 8 8 7 7 6 6 6 6 5 4 4 5 5 5 6 7 7 8 8 7 7 6 4 3 2 -3 -9 -3 10 5 -1 3 10 5 4 5 5 3 7 10 6 2 3 4 5 4 1 2 4 7 5 6 6 3 4 4 5 8 9 7 4 7 12 14 15 14 11 8 7 11 11 5 2 5 11 14 9 2 -2 -1 3 5 5 6 6 5 4 5 7 9 10 14 21 29 34 30 17 7 5 4 4 3 2 2 3 4 4 3 3 4 4 5 4 5 6 7 7 6 6 7 8 9 11 14 14 13 11 8 5 3 3 4 3 3 2 2 2 3 4 4 3 3 4 4 4 5 6 5 4 5 6 5 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 2 -6 -5 1 2 -0 1 3 3 3 4 6 7 5 2 2 3 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 5 5 5 5 6 9 11 10 6 4 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 4 6 8 8 5 4 4 3 3 4 4 7 9 7 4 4 5 7 7 5 5 6 4 3 5 6 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 7 9 11 12 11 10 9 9 8 7 5 3 3 4 4 4 4 3 3 3 4 5 5 6 6 6 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 4 3 4 4 4 3 2 3 2 2 2 3 4 4 6 7 8 7 7 8 7 7 6 6 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 4 5 3 2 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 5 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 6 6 6 6 5 5 5 5 5 6 7 7 8 8 7 7 6 5 4 3 -3 -12 -10 4 10 4 4 7 5 8 8 8 2 5 12 7 0 2 6 7 3 1 -0 2 4 4 6 4 1 1 3 3 5 6 6 5 6 9 12 12 15 15 11 10 11 10 8 4 7 12 12 9 5 2 3 3 4 5 6 7 6 3 3 5 7 11 20 31 36 32 21 9 5 5 4 3 2 2 2 3 4 3 4 3 4 4 4 4 5 6 7 6 6 6 6 7 7 9 12 13 14 12 8 5 3 3 3 3 3 2 2 2 3 4 5 4 4 6 7 7 6 5 5 5 5 5 4 4 5 5 6 6 5 5 5 6 6 7 7 6 6 7 6 -0 -6 -2 6 6 3 3 3 2 3 5 6 6 4 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 9 10 7 4 4 3 3 3 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 1 2 3 4 5 5 4 3 3 3 3 3 6 9 9 7 6 6 7 8 8 7 6 4 4 5 6 6 5 4 3 4 4 5 5 4 4 4 5 5 5 6 7 9 12 13 13 11 8 7 6 5 4 3 3 4 5 5 4 4 3 3 5 6 6 7 7 6 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 7 5 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 5 7 9 10 9 9 8 8 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 4 4 5 6 5 5 5 5 5 6 5 6 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 6 6 6 6 6 5 5 5 6 6 7 7 8 8 7 7 6 5 4 4 -1 -8 -7 4 9 7 7 5 2 9 11 6 3 2 6 6 2 2 7 8 4 3 1 1 1 4 6 3 2 4 5 5 3 3 4 7 5 2 6 8 8 10 9 8 6 4 8 10 9 7 7 8 9 8 7 5 6 8 8 8 7 3 2 3 5 11 24 33 30 20 10 5 4 4 4 3 3 2 3 3 3 3 3 3 4 4 4 4 4 6 6 7 6 6 7 7 7 8 10 12 12 11 8 5 4 3 3 3 2 3 3 3 4 5 4 4 5 6 8 8 6 4 4 5 5 5 6 5 5 6 6 5 5 5 5 6 7 8 8 6 6 7 6 4 -2 -4 2 8 6 3 2 2 2 3 4 5 5 4 3 3 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 5 6 7 7 6 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 2 -0 -1 0 -0 0 2 3 4 5 5 4 4 4 3 3 4 7 9 9 8 7 8 10 9 8 6 5 5 6 6 6 4 3 3 3 4 4 5 5 4 3 3 4 5 6 7 8 10 12 13 11 9 7 5 5 4 4 3 4 4 4 4 4 3 3 4 6 7 8 8 6 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 7 5 4 4 3 3 4 4 4 3 3 3 3 3 2 2 3 6 8 10 10 9 8 7 6 6 6 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 4 3 3 4 4 4 3 3 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 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 5 4 5 5 5 6 7 7 7 7 8 8 8 7 8 8 8 8 7 7 7 7 7 6 5 6 6 6 5 5 5 6 6 6 7 8 8 8 7 7 6 4 4 2 -2 -1 5 6 5 6 5 3 6 6 3 3 4 3 5 5 4 7 5 2 5 7 3 0 2 4 4 4 6 5 5 4 4 5 7 2 -4 5 6 3 3 4 2 5 3 2 6 6 5 4 2 7 9 8 6 8 10 10 8 6 3 1 1 3 11 25 27 18 10 5 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 5 6 7 6 6 6 7 7 8 9 10 10 10 8 6 4 4 3 3 3 3 3 4 4 5 5 4 5 7 7 7 5 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 8 9 7 6 6 6 6 5 -1 -4 1 4 3 3 2 2 3 3 4 5 5 4 3 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 7 7 6 4 3 3 3 3 3 4 4 5 5 5 5 5 4 4 5 5 5 6 5 5 5 5 4 4 4 4 5 6 5 2 0 -1 1 2 2 3 5 5 5 6 5 4 4 5 5 4 6 7 7 8 8 9 9 9 7 6 6 6 5 6 6 5 3 3 3 3 3 4 4 4 3 2 3 4 5 6 7 9 10 11 11 9 8 6 6 5 5 4 4 4 4 5 4 4 3 4 5 7 8 8 7 7 7 6 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 8 8 7 6 5 3 3 4 4 4 3 3 3 3 3 3 3 4 5 7 8 7 7 7 6 6 5 4 4 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 4 4 3 3 4 5 4 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 5 5 4 5 5 4 4 4 4 5 5 4 4 4 3 3 4 4 5 5 4 5 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 6 5 6 7 6 5 5 5 6 7 7 7 8 8 8 8 7 6 4 4 4 2 -0 -0 2 3 5 7 6 7 6 3 3 5 2 4 7 6 7 2 -1 4 8 6 3 3 2 3 5 7 4 5 5 6 6 4 -2 -4 5 9 5 1 0 -0 5 5 1 2 4 5 3 -1 2 5 5 6 10 12 10 6 2 1 1 1 4 15 25 20 9 5 4 4 5 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 6 7 7 6 6 5 6 7 8 8 8 8 7 6 5 4 4 3 3 4 4 5 5 5 5 4 5 6 7 8 7 6 6 6 6 6 7 6 6 5 6 7 7 6 5 5 6 6 7 7 6 6 7 7 7 6 1 -1 2 4 3 3 3 3 3 4 5 5 5 4 4 4 5 6 6 5 5 5 4 5 5 5 5 6 5 5 4 4 4 4 5 6 6 6 7 6 4 3 2 1 2 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 7 5 4 3 3 4 4 5 5 5 5 5 6 6 4 5 6 6 6 6 5 4 6 8 8 7 6 6 6 6 6 6 6 5 4 4 5 4 2 1 2 4 4 3 3 3 4 5 6 8 9 10 10 9 8 8 7 7 6 7 6 5 5 5 4 4 3 3 4 5 6 7 6 5 4 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 nan 6 7 7 8 9 8 7 5 4 3 3 3 3 2 2 2 3 3 3 3 4 4 4 5 5 6 7 7 6 4 4 5 5 4 5 5 5 5 4 4 3 4 4 4 4 4 5 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 3 3 4 4 5 4 4 5 5 4 4 4 4 4 4 5 6 6 6 7 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 5 6 6 6 5 5 5 6 7 8 8 8 9 9 8 7 6 4 4 4 3 1 -2 -0 3 7 9 9 10 8 7 10 8 2 3 6 8 8 3 1 2 5 8 7 6 4 5 6 5 4 4 5 6 8 2 -3 1 5 9 7 3 -0 1 4 4 3 6 7 7 5 2 2 4 2 5 10 12 8 4 1 1 3 4 9 19 22 12 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 5 7 7 7 5 5 5 6 7 7 7 8 7 6 5 4 4 4 4 4 5 5 5 4 4 4 4 6 7 10 13 12 9 7 6 6 6 6 6 5 4 5 6 6 6 5 5 5 5 7 8 8 7 8 8 8 5 1 2 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 6 6 5 4 4 4 5 5 5 6 6 5 4 4 4 4 4 5 6 6 7 7 7 5 2 1 1 1 2 3 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 6 4 7 8 7 5 5 5 4 5 5 4 4 3 5 6 6 5 5 6 8 8 5 3 5 7 7 7 6 6 6 6 6 6 7 6 6 6 7 6 3 1 -0 1 4 4 3 3 4 5 5 7 8 9 9 9 8 8 8 8 8 8 8 8 7 5 4 4 3 4 4 4 4 4 4 3 2 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 5 6 8 8 8 8 8 6 5 3 3 2 2 2 2 2 3 4 4 3 3 3 3 4 5 7 7 7 6 5 5 4 4 4 5 5 5 4 4 3 3 4 4 4 4 5 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 6 6 7 8 8 8 8 9 9 9 8 8 8 8 7 6 5 5 5 5 5 5 6 6 8 8 9 9 9 9 8 7 7 5 4 3 3 2 1 2 4 6 8 8 6 3 6 9 9 7 5 6 6 6 7 5 3 4 9 11 10 8 6 5 3 4 4 4 5 7 3 1 5 6 8 8 4 0 5 5 6 7 6 6 5 3 3 4 7 7 8 12 13 7 4 2 4 6 7 12 20 17 8 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 5 4 4 4 5 6 6 6 5 5 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 3 4 4 6 9 15 17 15 12 11 9 8 7 7 6 5 4 5 5 6 6 5 5 5 7 8 9 8 8 8 7 6 3 4 4 5 4 3 4 4 4 4 5 6 6 5 5 5 5 6 6 5 4 4 4 4 4 5 6 6 5 4 4 4 4 5 5 5 6 6 7 8 6 5 3 1 0 1 2 3 4 4 6 6 7 7 7 7 7 6 6 5 5 4 4 6 9 9 6 6 8 7 6 5 5 5 5 5 4 3 3 3 5 6 6 5 6 9 10 8 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 5 4 2 2 4 5 4 3 3 4 4 5 6 8 8 9 8 8 8 7 8 8 10 10 10 9 6 5 5 4 4 4 3 2 -0 0 2 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 5 5 6 6 6 7 8 6 5 4 3 3 2 2 2 3 4 4 3 3 3 3 3 4 5 6 7 7 6 5 4 4 4 4 5 5 4 3 3 3 4 3 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 4 4 4 5 5 4 4 4 4 3 4 5 4 5 5 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 7 6 6 6 6 8 8 9 9 9 9 9 9 8 8 8 8 7 6 5 6 5 5 5 6 6 6 8 9 10 10 9 9 9 8 7 5 4 3 3 3 3 3 8 9 8 6 3 1 4 6 7 6 4 3 3 5 9 9 6 4 6 12 14 11 6 2 1 5 6 3 4 5 3 7 8 5 7 7 5 3 5 6 7 6 6 6 3 2 2 2 6 10 13 16 14 7 3 3 4 5 5 12 19 14 6 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 5 5 6 6 5 5 5 5 6 7 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 4 6 8 12 15 15 14 13 12 10 10 9 9 7 6 6 6 6 7 7 6 7 8 8 8 9 9 9 8 7 6 6 5 5 4 3 4 4 4 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 6 5 4 2 2 3 5 5 5 5 6 7 7 7 7 7 5 2 0 1 2 4 4 5 6 6 7 7 7 6 5 5 4 4 3 3 5 9 11 8 5 7 6 5 5 6 6 6 6 5 4 2 1 2 6 9 9 8 8 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 9 7 5 5 4 4 5 4 4 3 3 3 4 5 6 7 8 8 8 8 7 7 8 9 11 12 12 10 7 6 5 6 6 3 1 -1 -1 2 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 3 4 4 4 4 6 7 7 7 5 5 4 4 4 3 3 3 4 3 3 3 2 2 3 4 5 5 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 3 4 4 3 3 3 3 3 3 3 4 3 4 5 5 5 4 4 4 3 3 4 5 5 4 4 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 6 6 6 7 9 10 10 9 9 9 9 8 8 8 8 8 8 7 6 5 5 5 5 6 7 7 8 10 11 11 10 9 9 8 7 5 4 3 3 3 6 7 10 12 10 3 1 4 7 7 7 5 3 -0 1 5 8 9 6 3 2 8 14 14 7 0 -1 4 8 5 4 5 4 7 7 4 4 5 5 5 4 5 6 3 3 2 5 7 4 0 0 7 13 16 14 6 -0 1 4 4 6 15 17 11 5 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 3 3 2 2 2 2 2 2 3 4 6 8 9 10 10 11 11 12 12 11 10 9 8 7 8 8 8 8 11 12 13 14 14 13 11 9 7 7 7 5 4 4 3 4 5 5 5 6 6 6 6 6 5 5 6 5 4 4 4 4 4 5 6 6 5 0 -4 -3 2 5 5 6 6 6 7 7 7 8 8 6 3 1 1 2 4 5 5 5 5 5 5 4 4 3 2 1 2 2 3 7 9 7 4 5 4 4 5 5 6 6 7 6 5 3 1 1 5 9 10 8 7 7 7 8 8 8 7 6 6 5 6 6 6 7 6 6 6 6 7 7 7 6 6 5 4 4 4 3 3 3 3 4 4 5 5 7 8 8 8 8 7 6 7 8 10 11 11 9 8 8 8 8 5 2 0 1 3 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 3 3 3 3 3 3 4 6 7 8 7 6 6 5 5 5 4 4 4 3 3 3 3 2 2 2 3 3 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 3 4 4 4 3 3 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 7 6 7 8 10 10 10 10 9 9 8 8 8 8 8 9 8 7 6 5 5 5 6 7 7 8 9 10 11 11 10 9 9 8 7 5 4 3 3 5 9 10 8 6 7 1 1 5 7 0 4 10 10 3 0 3 6 6 6 3 1 4 10 15 12 3 -2 1 5 7 6 6 6 3 5 4 1 2 2 3 2 6 5 2 2 3 8 7 1 -4 -3 5 13 14 11 4 -2 -1 4 7 12 17 15 8 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 5 4 5 5 5 5 5 6 5 5 5 4 4 5 5 5 6 6 6 5 5 4 3 3 3 2 2 1 1 1 1 1 1 1 0 2 2 3 5 6 9 9 9 10 10 11 12 11 10 10 11 14 13 13 13 15 16 16 13 9 6 7 7 6 6 5 4 4 4 4 5 5 6 6 7 7 6 5 5 6 5 4 4 4 4 5 6 6 5 3 -3 -7 -4 3 6 5 6 6 6 7 7 8 9 10 8 4 0 -1 0 3 4 4 3 2 2 1 1 0 -1 -1 -0 1 2 3 4 5 4 4 4 3 4 5 5 6 6 6 4 3 3 2 4 7 9 8 6 5 7 8 8 8 8 7 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 5 4 4 5 4 3 3 3 3 3 4 5 7 7 8 8 8 7 7 6 7 7 8 9 9 9 9 10 10 7 5 3 2 4 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 3 3 3 3 3 3 2 3 3 4 5 6 7 7 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 6 7 7 8 9 11 11 11 10 10 9 9 9 9 9 9 8 8 7 6 5 4 5 6 7 8 9 11 11 11 11 9 9 10 9 7 5 4 3 3 5 8 10 4 -0 2 1 6 3 4 -2 5 14 13 6 1 3 6 5 5 6 3 2 7 14 14 7 4 3 2 4 6 7 7 3 6 7 2 2 2 4 3 5 5 5 4 8 11 7 -2 -6 -0 7 14 15 9 3 -1 1 5 10 15 17 11 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 3 3 4 5 5 5 5 4 5 5 5 6 5 5 4 4 3 3 4 4 4 4 4 3 2 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 2 2 3 4 5 6 6 7 9 12 13 11 11 12 11 8 8 7 8 11 12 11 7 6 6 7 7 7 6 5 4 4 4 4 5 5 5 5 6 7 5 3 4 6 5 5 5 5 6 6 6 7 6 4 1 -2 1 5 6 6 7 7 7 7 7 9 10 12 9 3 -2 -5 -4 -1 1 2 0 -2 -2 -2 -1 -1 0 1 1 3 3 3 3 4 5 5 4 4 6 8 7 6 6 5 4 4 2 2 4 8 8 6 5 5 6 8 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 6 7 8 7 6 5 6 4 4 4 4 3 4 3 4 6 7 7 7 8 8 7 7 6 6 6 7 8 8 8 8 8 8 6 4 3 5 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 2 3 3 3 3 4 4 3 2 2 3 4 6 7 6 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 4 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 3 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 6 6 7 7 8 11 13 14 13 11 10 9 9 9 9 9 9 8 7 6 5 4 4 4 5 6 8 10 12 12 12 11 9 10 11 9 7 5 4 2 2 3 5 7 4 3 2 6 9 0 -3 2 5 13 10 7 3 4 5 3 4 12 12 7 5 9 12 9 8 7 4 4 5 5 7 7 7 7 5 4 6 7 5 4 6 7 7 10 12 11 3 0 5 10 15 14 7 2 0 2 6 12 17 14 7 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 6 5 5 4 3 2 2 2 2 2 1 1 0 0 0 0 1 1 1 1 1 0 1 2 2 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 6 4 2 3 4 5 4 4 6 6 5 6 6 6 7 7 6 6 4 4 4 3 4 5 5 3 3 5 5 -1 -2 2 6 7 6 7 7 7 7 8 10 9 7 7 5 6 7 7 7 8 7 7 6 7 8 11 12 9 2 -5 -10 -10 -7 -4 -4 -5 -4 -2 -1 0 3 4 3 4 4 4 3 3 6 7 6 5 7 11 10 8 7 6 6 4 2 1 3 6 7 5 4 4 5 7 8 10 10 8 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 5 5 5 4 4 5 4 3 5 6 7 7 7 7 7 7 7 7 7 6 6 7 6 5 6 6 5 4 4 5 5 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 3 2 2 2 2 4 4 3 2 3 3 5 6 5 4 3 3 4 3 4 4 4 4 4 4 3 4 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 5 6 7 7 9 10 13 16 17 15 11 9 8 8 8 8 8 8 8 6 5 5 5 4 4 5 7 8 11 13 14 13 12 11 11 11 9 7 5 3 2 0 1 4 5 5 8 3 9 8 4 -1 8 4 8 9 11 7 6 4 3 3 10 14 9 3 4 9 10 9 7 6 7 5 2 4 7 6 7 7 6 9 8 4 4 7 7 8 10 10 10 7 7 7 11 14 12 6 2 1 3 7 14 16 10 5 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 3 3 2 2 2 1 1 0 1 0 0 1 2 2 2 2 2 2 2 3 3 4 4 5 4 4 3 2 3 4 4 4 4 4 3 2 1 1 1 3 4 5 5 4 4 4 5 5 5 5 6 6 6 6 5 4 4 3 3 4 6 7 5 6 8 3 -3 -4 2 7 7 8 8 8 8 10 12 12 9 7 6 6 8 8 8 8 7 6 6 6 6 7 9 10 9 3 -5 -10 -11 -9 -6 -3 -1 0 -0 0 1 3 4 3 4 4 4 4 5 6 7 3 2 7 9 8 7 7 7 6 4 1 2 4 4 4 4 4 4 5 7 10 11 8 6 5 6 6 6 7 6 7 7 7 8 9 9 10 8 8 8 7 6 6 5 5 5 5 5 3 4 6 6 6 6 5 5 6 6 7 7 7 7 7 6 4 4 4 4 4 3 2 1 4 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 nan nan 5 5 5 4 2 1 1 1 3 4 4 4 3 3 4 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 3 4 3 2 3 4 5 5 4 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 7 8 9 11 15 18 18 15 11 9 8 7 7 7 8 8 7 6 5 5 5 5 5 6 7 9 11 13 14 14 14 13 12 10 9 7 5 3 1 -1 1 3 3 5 7 5 6 6 10 9 11 5 5 11 13 8 8 6 5 3 4 7 4 -2 0 7 11 8 4 3 5 3 1 2 3 5 8 7 4 7 8 4 4 6 7 9 10 7 6 8 8 6 8 12 9 6 4 3 5 8 13 13 7 3 3 4 4 4 5 4 4 4 4 4 4 4 3 4 4 3 4 4 3 3 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 4 5 4 3 3 3 2 2 2 2 2 3 3 4 3 3 3 4 3 3 3 4 4 5 4 4 3 2 2 3 3 4 4 3 1 1 1 1 1 2 4 5 5 5 4 4 4 5 5 5 5 6 6 6 6 5 4 4 3 3 5 9 10 9 11 10 4 -2 -3 1 6 7 8 8 8 9 10 11 9 4 4 5 7 7 7 7 6 5 4 2 4 4 3 4 9 10 7 3 1 2 2 2 2 2 1 0 0 -0 -0 1 2 4 4 4 5 6 7 6 2 4 8 7 8 8 7 7 5 3 2 2 3 3 3 4 4 4 6 10 10 7 4 4 5 5 5 5 5 5 6 7 8 8 10 10 10 10 9 8 7 6 5 5 5 5 4 3 4 5 6 5 4 4 4 4 5 6 7 8 9 8 7 5 3 3 3 3 2 1 2 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 7 7 7 5 3 2 1 1 2 3 4 4 4 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 3 4 4 4 3 3 3 3 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 4 4 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 4 4 5 5 5 5 5 5 5 5 6 7 8 9 12 15 18 18 15 11 8 7 7 6 6 6 7 7 6 5 5 5 5 6 7 8 10 12 13 13 14 14 13 12 10 8 7 5 3 -0 -2 1 3 2 4 7 7 2 4 7 9 6 6 4 11 9 4 9 9 9 4 3 7 -2 -6 -2 4 10 9 4 1 3 3 2 0 -0 4 8 4 -0 2 5 6 5 5 6 9 9 5 5 8 8 5 7 10 6 5 5 5 5 8 12 11 5 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 5 4 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 2 1 0 1 2 3 4 5 5 5 4 4 4 5 5 4 5 5 5 6 5 5 5 5 4 3 4 6 7 7 8 9 6 2 -3 -3 1 2 4 4 6 8 7 8 6 5 5 4 3 4 5 4 4 3 2 0 0 1 2 3 6 10 11 11 12 10 7 5 4 4 3 2 3 1 -3 -1 2 4 6 5 5 7 8 8 7 6 8 8 8 7 7 8 7 5 2 1 1 2 3 4 4 4 5 8 9 7 4 4 4 5 4 4 4 4 4 5 6 7 8 9 10 11 12 11 9 7 6 6 6 5 4 4 3 5 5 5 4 3 3 4 5 5 7 9 10 10 9 7 5 4 4 3 3 3 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 9 9 9 7 5 3 2 2 2 3 3 4 4 4 5 5 5 4 5 5 5 5 4 4 3 3 4 4 5 5 4 4 4 4 5 6 6 5 5 4 4 3 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 4 4 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 6 7 6 5 4 4 4 5 5 5 5 6 5 5 5 6 8 9 11 14 17 17 15 10 7 6 6 6 6 6 7 6 5 5 5 5 6 7 6 7 9 12 13 13 13 13 13 11 10 8 6 5 3 -1 -2 2 5 5 6 9 4 -2 2 3 9 4 4 -1 7 4 1 7 8 10 6 7 9 -0 -6 -3 2 8 11 8 4 1 2 4 1 -1 3 5 1 -2 -0 4 6 4 4 5 8 8 5 5 8 7 5 9 8 4 4 5 5 4 8 12 9 5 3 3 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 3 3 3 2 1 2 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 5 6 5 5 5 4 3 4 6 5 2 -0 -1 -0 0 0 -0 1 5 6 7 6 5 4 2 1 0 1 3 3 3 3 3 3 4 6 6 6 7 8 8 8 8 7 6 6 6 5 6 9 11 6 2 5 7 8 7 3 3 6 6 7 8 8 8 8 7 8 8 8 6 4 2 1 1 3 4 5 5 5 6 7 6 4 3 4 4 4 3 3 4 3 4 5 6 9 8 7 9 12 13 11 9 8 7 7 6 6 5 4 4 4 5 5 4 4 4 5 6 7 9 11 13 13 11 9 7 6 5 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 8 9 8 7 6 6 5 4 4 3 3 3 3 4 4 4 4 5 5 5 6 6 5 5 4 4 4 4 5 5 5 4 3 3 4 5 6 6 5 4 3 3 3 4 5 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 5 6 7 6 5 4 4 4 4 4 6 6 6 6 5 6 7 8 9 10 11 14 16 14 9 6 5 5 5 6 6 6 6 5 4 4 5 6 6 6 7 10 11 12 12 13 12 12 10 9 7 5 4 1 -1 -1 3 5 6 8 9 3 -1 1 3 8 14 10 1 1 2 5 3 6 6 6 10 12 7 1 -2 1 7 9 9 7 2 2 4 2 1 3 3 2 3 4 4 4 3 4 5 7 6 8 10 8 4 5 10 7 5 6 7 5 3 7 11 10 4 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 5 4 3 3 3 3 3 3 3 3 3 3 2 3 4 4 3 4 5 7 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 6 4 3 6 8 6 3 3 3 3 2 1 -1 -2 1 4 5 6 5 3 2 1 2 5 7 7 6 6 7 7 7 6 5 5 4 5 5 6 7 6 6 6 7 8 12 18 17 11 7 7 6 7 4 3 4 5 6 7 8 8 8 8 7 8 8 7 6 4 2 2 2 4 6 5 4 5 7 6 4 3 3 4 4 4 3 2 2 2 3 4 8 10 6 6 10 12 12 11 10 9 9 9 8 6 5 4 4 4 4 4 4 4 5 6 7 9 12 14 17 19 17 13 10 6 5 5 4 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 6 7 6 6 6 6 6 5 5 5 4 3 3 3 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 4 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 6 7 6 4 4 4 4 4 4 6 7 7 5 5 6 7 8 9 9 9 12 15 13 9 6 5 5 5 6 7 6 6 5 4 4 5 5 6 7 8 10 12 12 12 12 12 11 10 9 6 4 4 0 -1 1 2 3 5 7 8 8 4 2 5 9 20 14 4 1 3 9 3 5 3 4 11 15 13 9 1 1 6 7 5 6 5 4 5 3 2 4 4 5 7 8 5 3 4 5 6 5 6 11 14 8 3 5 9 7 7 7 6 4 2 5 11 10 5 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 3 3 4 3 4 4 3 3 4 4 5 5 5 5 4 4 4 4 5 5 4 3 3 3 3 3 2 3 4 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 7 6 8 11 11 8 5 3 3 3 3 0 -2 -3 -2 2 5 5 3 3 4 5 6 7 8 7 7 6 6 5 5 4 3 3 4 6 7 8 7 5 5 7 8 11 15 15 10 5 4 3 5 5 4 4 5 6 7 8 8 9 8 7 7 7 8 7 6 4 3 3 4 5 6 5 5 6 5 3 3 3 4 4 4 3 1 2 2 2 3 5 8 8 6 8 9 10 11 11 11 10 10 10 8 6 4 4 4 4 4 4 5 5 6 7 8 11 15 19 22 22 18 10 6 4 4 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 5 5 5 4 4 4 5 5 5 6 5 4 3 3 3 3 3 4 4 5 5 5 6 6 6 5 5 5 5 4 4 3 3 3 2 3 4 4 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 5 5 5 5 4 5 5 5 6 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 6 5 4 4 4 4 4 6 7 6 5 6 7 7 7 8 8 8 11 13 11 8 6 5 5 5 7 8 8 7 6 5 5 4 4 6 7 8 10 12 13 12 11 11 10 9 8 5 3 2 0 2 2 1 3 6 4 6 7 6 5 7 7 11 9 5 2 3 8 6 3 1 1 11 13 13 11 2 1 5 4 1 1 5 6 5 3 2 3 6 7 9 10 7 4 6 7 6 4 4 10 12 8 5 7 7 6 7 7 5 4 4 5 10 11 6 3 4 3 3 3 3 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 4 3 3 5 6 7 6 5 5 4 3 3 3 3 4 5 5 6 6 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 8 9 11 12 10 7 6 4 2 2 1 1 -0 -2 -1 0 2 2 1 2 1 0 3 5 7 7 6 5 4 4 4 2 3 4 5 6 7 5 2 3 6 7 10 12 9 4 2 3 3 4 4 5 5 5 5 6 7 9 9 8 7 7 7 8 8 7 5 3 3 4 5 6 5 5 5 5 4 4 3 4 5 6 5 2 1 2 2 2 2 5 6 7 7 7 7 9 11 11 12 11 11 10 8 6 4 4 4 4 5 5 5 6 7 7 10 14 16 17 19 16 10 7 5 4 4 3 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 5 4 4 5 4 4 4 4 5 6 6 5 4 4 4 4 3 3 3 4 4 5 5 6 6 6 6 6 5 4 4 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 5 4 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 5 4 4 4 4 4 6 7 6 6 6 8 8 7 7 9 11 12 10 7 6 6 6 6 6 7 7 8 8 7 6 5 5 5 5 6 8 11 12 13 12 11 9 9 8 6 3 1 -0 2 4 4 3 5 8 4 2 3 7 7 6 6 7 7 4 1 4 7 8 4 -0 0 8 9 9 10 6 3 4 3 -2 -1 6 9 6 3 2 4 7 9 10 12 7 3 4 7 6 4 4 9 10 7 8 9 8 6 6 7 5 3 3 7 12 12 7 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 4 5 5 4 3 2 3 4 6 6 7 6 5 4 3 4 4 4 4 5 4 5 5 6 6 5 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 4 5 6 7 8 10 10 10 12 14 11 7 4 3 2 2 1 1 0 1 2 2 2 1 -1 -1 1 4 6 7 5 4 3 2 4 4 4 4 5 5 5 3 2 3 6 7 9 10 6 3 3 3 3 3 4 4 4 5 5 6 7 8 9 9 7 7 7 7 7 7 6 3 3 3 5 6 6 5 4 5 5 5 4 3 4 5 7 5 2 3 2 1 1 3 4 5 5 6 6 6 8 10 11 12 12 11 10 8 5 4 4 4 5 4 5 6 6 7 10 12 11 12 12 10 8 6 4 3 3 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 5 4 4 4 4 4 4 5 6 6 6 6 6 5 4 3 3 3 4 4 4 5 6 6 7 6 5 5 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 3 3 3 3 3 4 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 4 4 5 6 7 7 7 7 8 8 8 8 13 20 19 6 -0 2 5 6 6 6 6 6 7 7 7 7 6 5 5 6 7 9 11 12 13 11 10 8 8 7 4 1 -1 -0 4 4 2 7 7 10 6 1 2 6 5 5 7 8 9 6 2 4 5 8 6 -0 0 4 6 8 8 10 9 6 2 -2 -1 6 9 8 4 3 5 9 9 10 10 6 3 4 6 8 6 5 11 12 11 12 9 7 6 6 6 5 3 3 8 14 14 8 5 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 3 4 3 3 2 3 4 4 4 4 3 2 2 3 4 4 4 4 4 3 3 4 5 4 4 4 4 4 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 6 7 8 10 14 14 12 10 9 8 7 6 5 4 4 4 4 4 5 6 4 3 4 4 5 6 5 4 3 3 4 5 6 6 6 6 5 4 4 6 7 8 8 7 4 4 4 4 4 3 4 4 4 5 5 6 7 8 8 8 8 7 7 6 7 8 7 4 3 2 4 7 7 5 4 5 6 6 4 3 3 4 6 6 5 4 3 1 1 1 3 4 4 4 5 5 6 7 9 11 12 12 11 10 7 6 4 4 4 4 4 5 6 7 9 10 9 8 7 5 4 4 4 3 3 3 4 5 5 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 5 5 4 4 3 2 3 4 5 6 7 7 7 7 7 5 3 3 3 4 4 5 5 6 7 6 5 5 5 5 4 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 4 5 6 7 7 7 7 8 9 9 9 10 17 26 20 1 -4 -1 1 3 4 4 5 5 5 6 7 6 6 5 5 6 8 10 11 12 12 11 9 7 7 6 2 -2 -1 2 3 3 4 7 7 10 9 5 4 5 4 4 4 6 7 5 3 2 3 6 7 2 -0 1 6 10 9 10 13 11 4 -2 -2 5 8 6 2 2 5 8 7 7 8 6 4 5 7 8 7 6 7 13 18 18 10 6 6 5 5 6 5 5 8 16 16 10 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 4 4 4 5 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 3 3 2 1 2 2 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 5 6 9 10 11 10 10 10 11 11 11 10 9 7 5 4 6 8 7 7 7 8 8 7 8 8 7 8 6 6 8 8 7 5 4 4 5 7 8 8 6 5 4 4 4 4 4 3 3 4 5 5 5 6 6 7 8 8 8 8 6 6 7 7 7 6 3 1 2 5 7 7 5 4 5 5 5 4 3 2 3 4 5 5 4 2 1 1 2 3 3 3 3 4 5 6 7 9 11 12 12 11 9 8 6 4 4 4 4 5 5 7 9 9 9 7 5 3 3 4 4 3 2 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 4 3 4 4 4 5 4 3 2 2 3 4 5 6 7 8 9 9 7 5 3 3 3 4 4 4 5 5 5 5 5 5 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 3 4 5 6 7 7 8 8 9 10 11 11 13 19 22 11 -2 -1 1 -3 -3 1 4 4 4 4 5 6 6 6 5 5 7 9 11 11 11 11 10 8 6 6 3 -2 -2 3 4 3 5 6 5 6 7 8 8 7 6 6 5 2 3 5 6 7 4 1 2 5 6 4 5 9 12 10 10 14 15 10 6 1 2 5 2 3 3 5 6 4 3 4 4 5 8 8 4 3 6 8 12 21 23 13 5 3 2 3 7 9 7 8 14 17 11 6 4 3 3 4 4 4 4 5 4 4 5 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 2 1 1 2 2 2 1 2 2 3 4 4 5 5 4 4 4 5 5 6 5 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 3 3 4 6 7 8 8 9 10 10 11 11 10 8 8 9 9 10 9 10 12 13 13 13 13 12 12 11 9 6 6 6 5 3 3 4 5 7 8 7 5 5 4 4 4 4 4 4 4 4 5 5 4 4 6 6 7 8 8 8 7 7 6 7 7 6 5 2 1 3 6 8 6 4 4 5 6 5 3 2 1 2 4 5 4 2 2 2 2 3 3 3 2 3 4 5 6 9 11 12 12 12 10 9 8 6 5 5 5 4 5 6 8 9 9 8 6 5 4 4 4 3 2 2 3 4 3 3 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 5 4 3 4 4 5 5 4 4 3 2 3 4 5 5 7 9 10 10 7 5 3 4 4 3 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 5 6 7 7 8 9 9 10 11 13 16 19 15 1 -2 5 4 -4 -6 -2 3 4 4 4 5 6 6 6 6 6 8 11 12 11 10 10 9 8 6 4 -1 -4 0 7 7 6 7 6 6 11 5 4 7 7 6 10 9 3 2 3 7 10 7 1 0 4 7 8 11 11 10 8 8 12 15 15 13 7 3 2 1 3 6 7 5 -1 -1 1 3 5 9 10 6 3 5 8 13 22 21 13 5 -1 -2 1 9 15 10 9 14 15 11 6 3 3 4 4 4 4 4 5 5 4 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 2 1 2 2 2 2 2 2 3 3 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 4 4 4 5 5 5 6 5 5 5 5 5 5 4 4 5 4 5 4 3 3 3 3 4 5 5 6 5 5 6 6 7 9 11 12 11 12 12 11 10 11 12 10 10 10 9 8 5 4 4 4 4 4 4 5 7 7 5 5 4 4 3 3 3 4 4 5 4 4 5 4 4 5 6 6 7 8 8 8 8 7 6 6 6 5 3 2 2 4 5 6 5 5 6 6 5 4 3 2 2 3 4 4 3 2 2 3 4 4 3 2 2 3 4 6 9 11 12 13 12 11 9 9 8 7 6 5 5 5 5 6 9 10 9 8 7 6 6 5 3 2 2 3 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 7 5 4 4 4 5 5 5 5 4 3 4 4 4 4 5 6 9 10 8 6 5 5 5 4 5 5 4 4 4 4 4 4 3 4 4 3 3 3 2 2 3 3 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 3 3 2 2 2 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 5 5 6 5 5 5 4 5 5 5 5 5 6 5 5 6 5 4 4 5 6 7 7 8 9 9 10 12 16 21 20 10 -5 -1 8 1 -6 -7 -3 3 5 5 5 5 6 6 6 6 6 9 12 14 12 10 9 9 7 4 -1 -4 -1 3 8 10 6 5 8 11 14 3 4 3 2 7 13 11 3 0 -1 4 9 8 5 3 4 6 9 12 11 7 6 6 8 12 14 10 8 8 5 1 4 5 7 6 0 2 2 5 6 6 12 11 7 6 5 14 23 18 11 4 -2 -5 -1 10 20 14 11 17 15 10 5 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 4 3 4 4 5 5 6 6 6 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 5 4 3 3 2 2 2 3 3 3 2 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 2 3 4 5 6 8 9 9 9 8 6 6 6 6 5 6 5 5 5 4 4 3 3 4 4 4 4 5 6 5 3 2 2 3 3 3 4 5 5 4 4 4 5 5 4 5 5 6 7 8 8 8 9 8 7 6 6 4 3 2 3 3 3 6 8 8 7 6 6 5 4 3 3 4 5 4 3 1 2 4 4 3 2 2 3 3 6 9 12 14 15 13 12 10 9 8 8 7 6 5 4 4 6 8 8 9 9 10 9 8 7 5 3 1 2 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 8 8 7 6 6 6 5 6 6 5 4 4 5 5 5 4 3 3 4 4 3 3 4 3 4 4 5 5 4 4 2 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 4 4 5 6 6 7 8 9 9 10 13 20 26 22 8 -5 -1 5 -6 -10 -7 -1 3 5 5 6 6 6 6 6 6 7 9 13 15 14 11 9 8 5 0 -4 -2 2 4 5 6 5 6 9 6 3 -0 1 0 2 8 12 11 6 4 5 7 7 7 7 6 6 8 10 11 10 6 4 2 3 6 8 4 4 10 9 3 1 2 6 8 8 8 6 7 6 4 9 12 12 12 10 12 21 21 13 4 -3 -7 -1 13 21 14 11 18 16 9 5 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 3 3 4 4 5 5 5 6 6 5 4 4 3 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 3 3 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 4 5 5 5 4 4 5 4 4 4 4 5 4 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 5 5 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 3 2 2 3 3 3 4 4 4 3 3 5 5 5 4 4 4 5 5 6 8 8 9 9 8 8 6 5 4 3 3 2 2 4 8 9 8 8 8 7 6 5 5 5 6 6 4 2 2 3 3 3 2 2 3 3 5 9 13 17 17 16 14 11 9 8 9 9 7 5 4 4 5 6 7 7 8 9 10 11 10 8 5 3 2 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 7 7 6 5 5 5 5 6 5 5 5 5 4 4 3 3 3 5 6 6 6 6 6 5 6 6 6 5 5 5 6 6 5 4 4 4 5 5 5 5 6 6 7 7 7 6 5 4 2 2 3 3 2 2 1 2 2 2 2 3 3 2 2 3 2 2 2 2 3 3 3 3 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 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 8 9 10 12 18 24 26 23 14 2 -3 -4 -10 -9 -4 1 5 5 5 6 6 6 6 6 6 7 9 14 18 15 12 10 7 1 -3 -2 2 4 3 1 1 4 7 10 3 -2 4 0 3 6 5 7 9 7 8 14 14 5 4 6 6 8 12 13 11 10 8 5 2 1 1 1 -0 -1 3 5 4 -1 -5 2 12 13 9 5 4 2 3 5 9 14 16 14 12 22 30 17 3 -5 -8 2 15 19 12 12 19 17 8 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 5 5 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 5 5 6 6 6 6 6 6 5 5 5 4 4 3 4 6 8 8 5 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 4 5 5 4 2 3 4 5 4 4 4 4 4 5 6 8 9 9 10 9 8 7 5 4 3 2 2 3 5 7 8 9 9 8 8 7 6 6 6 7 6 3 2 3 3 3 2 2 2 3 4 8 14 18 20 20 17 13 10 9 10 11 9 6 4 3 5 5 5 6 7 8 10 11 11 10 8 5 3 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 7 7 7 6 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 6 6 6 7 8 10 10 9 8 8 7 6 4 3 3 3 3 2 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 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 4 4 4 4 5 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 7 9 11 14 19 22 21 18 19 14 6 -5 -9 -8 -3 1 4 5 5 6 5 6 6 6 7 7 7 9 15 21 17 12 9 4 -2 -2 3 5 4 3 4 5 3 1 4 6 4 5 3 5 10 5 1 3 5 10 13 10 3 4 5 5 9 15 16 12 9 7 3 2 2 -0 -2 -2 -1 -1 -1 -1 -3 -6 -0 11 14 9 4 1 -2 4 6 6 8 10 10 15 31 37 21 4 -6 -7 5 15 15 11 12 20 17 7 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 6 6 6 6 6 6 6 5 5 5 4 4 4 5 7 9 9 8 6 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 5 4 4 4 4 5 5 5 4 5 5 5 5 4 4 4 5 4 4 5 4 4 4 5 4 4 5 6 6 5 4 5 5 5 5 6 6 5 3 1 1 3 4 4 4 3 3 3 4 5 6 7 9 10 10 10 9 7 5 4 3 2 2 3 4 5 7 7 8 8 7 6 6 6 6 5 3 3 3 3 3 3 2 2 3 3 7 13 18 22 21 19 14 11 11 12 12 11 8 5 4 4 4 5 6 6 7 8 9 11 11 10 7 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 6 5 6 6 6 7 7 7 7 6 6 5 6 5 5 5 4 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 5 6 6 6 7 8 9 10 10 10 9 10 10 7 5 3 3 3 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 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 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 10 16 22 24 20 12 8 13 10 3 -6 -7 -3 1 3 5 5 6 6 6 7 7 7 7 8 9 10 16 22 19 13 8 0 -4 0 5 4 3 5 6 8 7 5 5 6 5 1 0 5 13 9 3 1 3 11 11 5 5 7 6 6 9 13 15 13 6 1 2 4 4 2 0 1 4 1 -0 -0 -0 -1 -1 8 11 6 6 2 -2 2 2 1 4 7 10 21 37 36 20 4 -4 -3 7 13 12 9 11 21 19 6 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 7 7 6 5 5 4 4 4 4 3 4 4 3 4 4 4 4 4 5 5 5 5 6 6 7 7 6 6 6 5 4 4 4 4 4 5 7 7 7 6 5 5 4 3 3 4 4 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 5 4 4 5 4 5 4 4 4 4 4 5 5 4 5 5 4 5 5 6 7 6 5 5 5 5 6 7 7 6 4 2 3 3 1 1 4 4 3 3 3 3 4 4 6 7 9 10 10 10 8 7 5 4 2 2 3 3 2 3 5 6 6 6 5 5 5 5 4 2 2 3 4 4 3 3 3 3 3 6 11 17 21 22 18 14 12 14 16 16 14 9 5 4 4 4 5 5 6 5 6 7 8 10 11 10 7 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 3 3 4 4 5 5 6 6 7 7 7 7 6 6 5 6 6 5 5 4 4 3 3 3 2 2 2 2 3 4 4 4 4 3 2 3 4 5 5 5 5 6 7 8 8 8 9 10 12 11 9 6 4 2 2 2 2 1 2 2 1 2 2 2 2 2 2 2 2 1 2 2 3 3 3 4 3 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 6 7 7 6 6 7 9 15 24 28 20 11 6 5 8 8 -3 -7 -3 2 4 4 5 5 6 6 7 7 8 9 8 9 10 12 18 24 20 12 5 -3 -4 0 4 3 3 6 6 4 3 6 8 8 5 -1 -1 6 14 15 11 6 7 10 11 2 -0 5 8 8 8 10 14 12 2 -1 5 7 5 5 8 9 8 4 4 4 5 1 -1 5 5 3 5 1 -5 -2 -4 -4 5 11 12 25 38 32 16 3 -3 1 10 13 10 8 10 19 19 7 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 5 5 7 7 7 6 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 6 7 7 7 7 6 6 5 5 5 4 3 3 4 5 5 5 5 4 3 3 3 3 3 3 4 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 5 5 4 5 5 5 5 6 6 6 6 6 5 5 5 6 6 7 8 7 5 5 6 6 2 1 4 4 4 3 3 3 3 4 5 5 7 8 10 11 10 8 7 5 3 3 4 4 2 0 2 4 5 4 4 5 5 5 4 3 2 2 3 3 3 3 3 3 3 5 11 17 20 21 17 14 13 15 18 20 17 11 6 4 4 5 4 4 5 5 5 5 6 9 10 11 9 6 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 3 3 4 4 4 4 4 5 6 7 6 6 6 5 6 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 2 2 3 3 4 4 4 4 4 3 4 5 6 6 7 10 12 12 9 6 4 2 2 2 1 1 1 2 2 2 2 1 2 2 2 1 1 1 2 3 2 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 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 6 7 8 8 7 7 10 15 21 28 25 12 4 6 7 3 -1 -7 -3 3 5 4 4 4 4 5 6 7 8 9 10 10 11 12 15 20 24 18 6 1 -1 -3 1 3 4 3 6 10 9 4 -1 -1 2 3 2 3 8 15 18 15 10 9 9 7 -1 -3 7 11 9 8 9 10 6 -0 4 13 12 7 9 13 13 9 4 3 6 7 1 -0 5 8 6 3 -2 -10 -4 2 0 3 6 10 25 37 29 14 3 -1 3 10 12 9 8 12 19 15 7 4 5 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 5 6 7 7 7 6 5 5 4 4 4 4 4 4 4 5 5 6 5 6 7 7 7 7 7 6 5 5 5 4 4 3 3 4 5 5 5 4 3 3 3 2 2 3 3 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 5 5 5 6 5 4 4 4 4 5 5 5 4 5 4 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 7 7 6 5 6 9 7 4 4 4 4 4 3 3 3 3 3 3 4 5 6 9 10 11 9 7 6 5 3 4 6 3 -1 0 2 3 4 4 5 5 5 4 3 2 2 2 3 3 3 3 3 3 5 10 16 20 20 16 12 12 14 16 19 17 13 8 6 5 5 4 4 4 4 4 4 5 7 10 11 9 7 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 5 6 7 7 6 5 4 3 3 3 4 4 4 4 3 3 3 3 3 2 2 3 3 3 2 3 3 3 4 7 11 13 12 9 6 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 6 6 5 5 6 6 9 10 8 8 11 15 19 21 20 15 6 2 4 3 -3 -6 -2 2 5 5 4 4 3 4 5 6 7 9 10 11 11 12 14 18 21 21 12 3 -1 -2 -3 3 3 4 2 4 10 9 4 1 -1 1 2 5 7 9 14 17 13 10 10 8 4 -2 4 14 15 11 7 7 6 -2 -1 15 24 16 9 9 10 10 6 -1 -2 5 8 3 2 8 14 14 9 -0 -9 -3 9 7 7 9 17 28 31 23 13 4 -0 3 8 10 8 9 13 19 14 6 5 5 5 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 6 7 7 6 6 5 5 4 4 4 4 4 5 5 6 6 7 7 7 7 6 6 5 5 5 4 4 4 3 3 4 5 5 5 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 5 6 6 6 5 4 4 4 3 3 3 3 4 5 5 6 6 6 5 4 4 4 4 5 5 5 5 4 3 4 5 6 7 7 7 7 7 6 6 6 7 6 6 6 6 6 6 7 10 7 4 4 4 4 4 4 3 2 2 2 3 3 4 5 6 9 11 10 8 8 7 5 4 5 4 2 1 2 2 3 4 5 6 5 3 3 2 2 2 2 3 3 3 3 3 4 8 13 17 17 13 12 12 12 13 14 14 11 9 7 6 6 5 4 4 4 5 5 6 8 10 10 9 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 4 4 4 3 3 2 3 2 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 6 6 6 6 5 4 4 4 4 5 5 4 3 3 3 3 2 2 2 2 2 3 3 3 2 2 2 4 8 12 13 12 9 6 4 3 2 2 2 2 2 2 1 1 2 2 1 2 1 1 1 2 2 2 2 2 2 3 2 2 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 4 4 5 5 5 5 5 6 5 5 6 6 10 13 10 12 15 16 18 14 10 5 2 2 1 -1 -3 -1 4 5 5 4 3 3 4 4 4 5 7 10 12 12 12 13 16 20 21 17 9 1 -3 -4 -0 3 2 1 0 2 8 4 1 2 2 2 4 10 8 7 9 10 8 7 9 8 4 1 7 15 16 12 6 6 7 -4 -0 20 24 15 8 4 2 3 4 -1 -4 2 8 5 4 9 15 15 11 5 1 -2 12 15 15 17 22 26 24 16 9 2 -2 2 7 8 7 8 14 20 14 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 5 4 4 4 5 6 7 6 6 6 5 5 4 4 4 5 5 5 6 6 7 7 6 6 5 4 4 4 5 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 4 5 5 6 6 6 5 4 4 4 5 5 5 4 3 3 4 5 6 7 8 8 7 7 6 6 7 8 7 6 7 6 6 6 7 7 7 5 5 5 4 4 3 3 3 3 2 2 3 3 4 4 6 9 10 9 9 8 7 6 5 5 4 3 3 2 2 3 5 5 4 3 3 2 2 2 2 3 3 3 3 3 4 5 8 12 12 11 11 11 11 11 10 10 9 8 7 8 7 7 5 5 5 5 5 7 9 11 11 9 8 7 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 3 3 3 3 4 5 5 4 4 4 5 6 6 5 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 3 3 4 4 3 2 2 3 5 9 12 13 12 10 6 4 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 7 11 15 14 13 13 11 12 12 9 4 5 7 3 0 1 4 5 5 4 3 3 3 4 4 5 6 9 13 15 14 13 14 18 22 22 16 8 0 -3 2 9 6 0 -3 -2 3 5 9 11 9 2 -2 5 11 5 3 5 5 4 4 5 9 9 5 7 12 16 13 6 5 9 2 5 16 16 10 5 1 -0 1 2 2 -1 3 7 5 7 12 10 6 5 7 8 -1 8 18 20 23 20 16 10 5 4 0 -2 2 7 7 8 10 15 18 12 5 5 5 5 5 5 5 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 6 5 5 4 4 4 4 4 3 3 3 5 5 5 4 4 4 4 4 4 3 4 5 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 6 6 7 7 7 7 6 6 6 6 5 5 4 3 3 3 3 3 3 4 5 6 6 6 6 6 4 4 4 4 4 3 2 1 1 2 5 6 7 7 7 6 6 6 7 8 9 9 8 7 6 6 5 6 6 4 5 5 5 4 3 3 3 3 3 2 2 2 3 3 4 5 6 7 8 9 9 9 8 6 6 5 5 5 3 2 2 3 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 5 7 8 9 10 10 10 10 10 9 9 8 8 9 10 10 9 6 4 5 6 8 10 12 12 11 9 8 7 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 3 2 2 3 2 3 3 3 4 4 4 4 4 4 4 3 3 4 6 6 5 4 3 3 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 3 4 4 4 4 3 3 4 6 8 11 13 13 10 7 5 3 2 2 2 2 2 1 1 1 1 1 1 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 8 13 17 15 11 8 7 10 14 13 10 10 9 3 0 2 4 4 4 3 3 4 5 6 6 6 7 11 16 17 16 15 16 20 22 21 17 10 1 -2 6 15 11 2 -2 1 4 4 7 11 13 7 2 9 6 -2 2 5 4 4 3 2 6 11 9 6 8 15 14 8 7 14 14 13 16 13 6 1 -1 1 3 2 -1 2 10 8 6 13 13 4 2 5 7 10 -1 -5 6 25 27 15 3 -5 -3 2 0 2 8 9 8 9 10 13 18 13 5 5 6 5 6 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 3 3 4 5 6 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 5 4 4 4 5 5 5 5 4 4 5 6 6 6 7 7 7 7 6 6 6 5 5 4 4 3 3 3 3 4 4 5 6 7 7 7 7 6 5 3 3 2 2 1 -0 -1 -2 1 4 5 6 6 6 6 5 5 6 8 9 10 9 9 9 7 5 5 5 4 4 5 5 4 3 3 3 3 3 2 3 3 3 3 4 4 4 5 6 7 8 8 9 8 7 6 6 5 4 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 4 5 6 8 8 8 8 10 10 10 10 10 9 12 15 15 12 8 5 5 6 8 10 12 12 12 12 11 8 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 3 3 3 3 4 4 4 3 3 3 4 4 4 4 5 5 4 4 3 3 5 6 6 5 4 3 3 3 4 5 5 5 5 5 5 4 3 3 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 5 7 10 12 12 10 8 5 3 3 3 3 2 1 1 1 1 1 1 1 0 0 1 1 1 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 5 4 4 4 4 3 4 4 3 3 4 5 5 5 5 5 5 6 8 12 17 18 13 8 7 8 11 14 14 13 6 -1 -4 -1 2 4 4 4 3 3 5 7 8 8 8 9 12 16 17 16 17 18 18 18 18 17 11 1 -2 5 10 8 5 6 7 5 6 2 3 8 7 6 16 5 -2 4 6 5 7 6 -1 2 12 11 3 5 11 15 12 10 18 20 16 16 13 3 -3 -1 3 3 -0 -3 7 17 11 10 17 10 2 6 9 9 11 6 -6 4 28 24 9 -5 -10 -1 5 4 8 13 11 10 10 8 10 18 16 7 5 6 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 4 3 3 4 4 4 3 3 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 2 2 3 3 2 2 3 5 6 6 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 7 7 6 5 5 5 5 4 4 3 3 3 4 5 5 6 7 8 8 8 7 6 4 3 2 1 1 -0 -2 -2 -3 -0 4 5 4 5 5 5 5 5 6 6 7 8 9 10 11 8 6 5 5 5 5 6 5 4 4 3 2 3 3 3 3 3 2 2 3 3 4 4 4 5 6 7 8 8 8 8 7 7 6 4 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 7 7 6 7 9 9 10 11 12 15 17 19 17 13 9 7 6 6 8 9 11 12 13 14 12 11 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 6 5 5 4 3 3 3 4 4 5 6 5 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 8 11 12 12 9 7 4 3 3 3 2 2 1 1 1 1 1 0 0 0 0 1 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 8 14 16 15 13 9 8 8 9 11 13 12 9 -3 -11 -6 -0 2 3 4 4 4 4 7 9 10 9 9 10 13 16 16 16 19 17 14 13 16 15 8 1 0 4 4 2 5 11 10 6 5 -1 -1 2 5 11 16 3 2 7 5 6 11 8 1 5 12 7 3 8 13 17 13 8 14 20 15 10 8 -3 -3 4 7 4 -2 2 12 16 11 10 11 4 3 9 8 10 15 20 10 17 29 20 4 -9 -7 8 12 12 15 15 12 10 10 8 10 17 17 8 5 6 6 6 5 5 4 5 5 4 5 5 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 4 3 3 3 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 3 2 2 1 1 1 1 2 4 6 6 5 4 3 3 4 4 4 4 4 4 5 4 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 7 6 6 5 5 4 4 4 4 4 5 6 7 7 7 8 9 10 9 8 6 5 3 2 2 1 0 -0 -1 -1 1 4 4 4 4 4 4 4 6 6 6 6 7 8 10 10 9 6 5 7 6 7 7 6 5 4 3 3 2 3 3 3 2 2 2 2 3 3 3 3 4 4 5 6 7 8 8 8 9 8 6 5 4 3 3 3 4 4 5 5 5 4 5 5 4 4 3 3 3 4 4 6 6 6 6 7 8 9 11 12 16 19 20 18 14 10 7 6 6 7 8 9 11 13 13 13 12 9 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 3 4 5 5 5 4 4 3 3 3 3 4 5 5 4 3 3 4 4 4 3 4 5 4 5 5 5 5 5 6 6 6 6 5 4 3 3 5 8 10 12 12 11 9 6 4 4 3 2 2 2 1 1 1 1 0 0 0 1 1 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 8 15 17 12 9 8 9 9 9 9 10 9 2 -7 -10 -3 1 2 3 3 4 4 5 8 10 10 10 10 11 13 13 13 16 19 15 9 11 15 10 4 1 4 6 3 -0 2 5 5 6 3 -2 -1 -1 3 17 12 -1 3 6 4 9 16 9 2 5 5 5 11 16 15 13 8 4 10 17 15 8 1 -9 -0 14 12 4 0 5 7 4 6 8 4 1 6 10 6 4 12 24 20 26 28 17 0 -11 -1 17 20 19 19 16 12 10 9 8 9 15 16 9 5 6 6 6 6 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 2 1 1 1 3 5 5 5 5 4 3 3 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 7 7 6 5 5 5 4 4 5 6 7 8 8 9 9 10 11 11 10 8 6 5 4 3 2 2 2 1 1 3 5 4 3 3 3 4 4 5 5 6 7 7 6 7 8 10 12 8 6 7 8 7 7 6 6 5 4 3 2 2 3 3 2 2 2 2 2 3 2 3 3 3 3 5 5 6 7 8 9 9 9 8 6 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 4 4 5 6 6 5 7 9 9 10 12 17 20 20 18 13 7 6 6 7 8 8 10 11 12 13 12 10 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 4 4 4 4 3 3 2 2 3 3 3 4 4 3 4 4 4 5 4 5 5 5 5 5 5 6 6 7 7 6 6 5 4 3 3 5 7 9 11 13 13 11 9 7 4 3 2 2 2 2 1 1 1 0 -0 0 1 1 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 3 4 4 5 4 4 4 4 5 6 5 5 4 5 6 14 18 12 10 9 10 10 9 9 9 5 -2 -6 -5 -0 2 2 3 4 4 4 6 8 9 10 11 11 12 12 11 11 14 17 12 5 10 13 7 1 0 2 8 8 5 4 3 4 5 4 2 3 -1 2 13 5 -2 5 5 3 12 20 10 3 -1 -2 9 20 16 8 3 0 2 9 12 11 9 -1 -8 6 21 12 2 -1 -4 -6 -3 3 4 -1 -0 7 9 5 3 9 15 17 26 25 14 -0 -8 4 21 23 20 18 14 10 10 9 7 7 12 17 11 5 6 6 6 6 5 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 3 4 3 3 3 3 4 4 4 5 5 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 7 7 6 6 6 6 6 6 7 8 10 11 10 10 11 11 12 11 10 7 6 6 5 4 3 2 3 2 3 8 9 6 4 4 4 4 4 5 5 5 6 6 6 6 7 10 13 12 8 7 8 7 8 7 6 6 5 5 4 3 3 3 3 3 2 2 2 3 2 3 2 2 3 3 3 4 6 6 8 8 9 9 9 8 6 5 5 4 5 6 6 6 6 5 5 4 4 3 3 4 4 4 4 4 5 5 6 8 9 9 11 13 18 23 24 19 11 6 5 7 7 6 7 8 9 10 11 10 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 5 5 4 4 3 3 3 3 4 4 4 5 6 6 6 6 6 6 5 4 4 4 4 4 3 3 3 2 2 2 2 3 3 3 4 4 5 5 5 5 5 4 5 5 5 6 6 7 7 7 6 4 3 4 4 5 5 7 10 13 13 13 12 9 6 3 3 3 2 2 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 2 2 2 3 2 2 2 1 1 1 2 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 5 6 5 5 4 5 5 11 17 16 12 10 11 11 9 9 7 3 -2 -3 -1 2 2 3 3 4 4 5 6 7 8 10 12 13 13 12 11 13 15 14 10 5 9 10 7 4 -1 1 7 7 8 9 8 8 5 4 8 11 9 9 7 -2 -2 2 3 1 10 15 6 6 3 2 13 17 11 4 -1 2 11 15 8 6 9 5 2 10 17 8 1 -1 -6 -3 3 5 -3 -8 -1 7 6 1 3 6 5 13 25 24 13 2 -3 6 17 19 17 14 10 8 9 9 6 7 13 18 12 5 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 6 6 6 5 5 5 5 4 4 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 5 5 5 5 5 5 5 5 6 6 7 7 8 8 7 7 7 6 7 7 7 7 8 9 10 12 12 11 11 12 12 13 11 9 6 5 6 7 7 5 3 3 3 6 9 9 6 4 4 4 4 4 5 5 5 6 5 6 5 5 8 12 14 10 9 8 8 7 7 6 6 6 6 6 6 5 4 3 3 3 3 2 3 3 3 2 2 2 2 2 2 3 3 5 6 8 9 10 10 9 7 6 5 5 5 6 6 6 6 6 5 4 3 3 3 4 4 4 4 4 5 5 6 8 9 10 12 17 23 28 26 17 7 4 5 5 4 4 5 6 7 9 10 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 5 4 3 3 2 2 3 3 4 4 5 5 6 7 7 7 7 7 5 3 3 3 4 4 4 3 3 2 2 2 2 3 3 3 4 4 5 5 5 5 4 4 4 4 5 5 7 8 8 7 5 4 3 4 4 4 4 6 8 10 13 15 15 10 6 4 3 3 3 1 1 1 0 1 1 1 2 2 3 3 3 3 3 3 3 2 3 3 3 3 2 2 1 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 5 6 8 18 21 14 11 12 12 9 7 3 -1 -2 -2 0 2 3 4 4 4 5 5 6 7 8 11 15 15 13 13 15 16 15 13 8 6 7 7 5 4 1 11 8 4 6 9 8 5 2 5 9 8 7 11 13 10 5 0 0 0 6 3 1 7 11 12 15 13 10 4 -1 4 20 24 12 6 12 9 5 10 10 3 1 -5 -9 5 18 11 -5 -7 2 4 -1 -2 2 3 1 12 26 25 13 2 0 8 15 16 13 10 7 7 8 7 5 8 15 15 8 6 6 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 7 8 8 7 6 5 4 4 5 8 7 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 7 7 7 8 8 8 9 9 11 12 13 12 12 12 12 13 12 12 10 8 6 5 5 6 8 7 4 5 5 8 10 7 5 4 5 4 4 5 5 5 5 5 5 5 5 5 6 8 10 9 9 8 8 8 7 7 7 7 7 8 8 7 6 5 5 5 4 3 2 3 3 3 3 3 2 1 1 1 1 2 3 5 6 8 9 9 9 8 6 5 5 5 6 6 6 6 6 4 3 4 3 4 4 4 4 4 4 5 6 6 8 9 11 13 19 25 26 18 7 3 3 3 3 2 3 4 6 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 4 2 2 2 2 1 2 3 3 4 4 5 6 6 7 8 8 8 7 5 3 3 3 4 4 4 4 3 3 3 2 2 3 3 3 4 4 4 5 5 4 4 4 3 4 5 6 7 8 7 5 4 3 3 3 3 3 4 5 7 9 12 16 15 11 7 5 4 3 3 2 1 0 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 2 3 3 4 3 4 3 4 4 4 4 4 4 5 5 6 5 5 4 4 4 5 8 21 24 13 12 15 14 10 6 -2 -6 -3 -0 2 2 3 4 5 5 5 6 7 7 9 13 16 13 12 15 17 16 14 11 8 5 5 6 4 0 2 9 9 1 2 7 6 2 2 6 4 -1 2 5 9 14 12 7 3 1 3 0 2 7 11 13 16 16 14 5 -2 3 18 22 14 9 9 1 -2 5 7 2 -3 -12 -12 8 27 16 -1 -0 3 -4 -7 1 5 2 3 16 28 25 12 2 4 12 15 14 11 7 6 7 8 6 4 7 11 9 6 8 10 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 4 4 4 4 7 8 9 8 7 6 4 4 5 8 9 7 5 3 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 7 6 7 8 9 10 10 10 12 13 14 13 13 13 12 12 12 11 10 8 6 5 5 5 6 7 7 5 6 8 9 8 5 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 6 7 6 7 8 8 8 7 8 9 9 9 9 9 8 6 6 7 7 7 6 3 2 3 4 4 3 2 2 2 1 0 0 1 2 4 5 6 7 8 8 8 6 5 5 5 6 7 7 6 5 5 4 4 5 5 4 4 3 3 4 5 6 7 8 9 11 13 16 16 11 4 2 3 3 4 3 2 4 6 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 2 2 2 2 2 1 2 3 3 4 3 4 5 6 6 7 8 8 9 8 6 4 3 4 4 5 5 5 4 4 3 3 2 3 3 3 4 4 4 4 4 4 3 3 3 4 4 6 7 8 7 5 4 4 3 3 2 2 3 4 5 6 7 12 16 16 12 7 4 4 3 2 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 2 2 2 2 2 3 3 3 4 4 3 4 4 4 4 4 5 5 6 6 5 4 4 3 4 6 11 22 22 13 14 17 16 12 5 -5 -8 -3 1 2 3 4 5 5 5 6 8 8 8 12 17 13 9 13 16 16 13 11 10 5 2 3 7 2 -1 5 5 5 1 2 4 5 4 7 6 2 7 8 -0 -0 7 11 11 7 3 3 3 4 5 7 7 9 16 17 9 2 6 14 15 11 6 -0 -5 -3 0 1 1 -1 -5 -2 13 24 13 2 1 0 -6 -5 5 7 3 9 21 28 21 9 3 8 14 14 12 9 7 7 7 7 4 3 6 8 8 7 9 14 12 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 4 5 5 5 5 5 4 4 4 4 3 3 3 4 5 5 5 5 4 3 4 3 3 4 8 9 9 7 5 4 4 5 9 11 8 5 3 3 3 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 6 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 7 7 7 9 10 11 11 13 13 14 14 14 13 12 11 11 10 9 7 6 4 4 4 5 7 8 6 6 7 9 10 6 0 1 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 7 6 8 10 12 13 13 11 9 7 6 7 8 8 7 6 4 4 4 4 4 4 4 3 2 2 2 1 2 3 4 4 4 5 6 7 7 5 5 5 6 6 6 6 6 6 5 4 5 5 5 4 3 3 4 5 5 6 7 9 10 10 10 8 4 1 3 6 7 7 7 6 6 7 8 8 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 4 3 2 2 3 3 2 2 3 4 5 6 5 5 5 5 6 7 8 7 7 8 8 7 5 4 5 5 5 5 5 5 4 3 3 4 5 6 5 5 4 4 4 4 3 3 3 3 4 6 7 8 7 6 5 4 3 3 2 2 2 3 4 5 6 8 13 18 16 10 6 4 4 3 2 2 2 1 1 2 2 2 3 3 4 3 3 3 3 3 3 4 3 3 3 3 2 3 3 3 3 4 4 3 4 4 4 4 4 5 6 6 6 6 5 4 2 4 5 6 14 24 21 14 13 15 16 12 2 -5 -5 -1 1 3 4 5 5 6 6 7 8 8 11 17 17 10 10 13 15 16 12 8 7 3 -0 4 7 3 3 9 6 6 8 4 2 3 4 9 4 7 20 10 -2 7 10 6 8 8 5 4 4 6 7 3 1 -0 6 8 10 9 10 12 10 4 -3 -7 -4 3 4 1 2 4 3 5 10 13 10 4 2 -1 -1 2 6 8 9 15 23 23 14 7 6 11 13 12 10 8 7 8 8 5 2 3 6 7 8 8 10 15 14 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 5 6 5 5 4 3 3 3 3 2 4 7 9 8 7 5 4 6 9 12 10 6 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 9 8 7 8 9 10 10 11 13 13 14 14 13 13 12 12 11 10 9 8 6 4 3 3 3 4 6 7 7 7 7 8 9 6 -1 -5 -0 4 4 4 5 5 5 5 5 6 7 7 7 7 7 6 6 5 5 5 5 5 6 7 9 13 16 16 12 8 7 8 9 9 9 8 7 7 5 5 5 5 5 4 4 5 5 5 5 6 6 6 5 5 5 6 6 5 5 5 5 5 6 5 6 6 5 5 6 6 6 5 4 3 4 4 5 5 6 7 9 9 9 7 4 3 5 10 13 13 12 10 9 8 8 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 14 12 8 5 3 3 4 4 3 3 5 6 8 8 7 5 5 5 6 7 7 7 7 8 10 10 8 6 6 6 5 5 5 5 5 4 5 7 9 10 9 6 5 5 5 5 4 3 3 3 4 5 7 8 8 7 6 5 4 3 3 2 2 3 4 5 6 7 9 15 18 15 9 5 4 3 2 2 2 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 6 7 8 7 5 4 3 2 3 5 8 17 26 22 13 11 12 12 6 -1 -6 -5 -0 2 3 4 5 6 6 7 8 8 10 15 17 12 9 10 11 16 17 11 8 7 3 0 5 7 6 7 11 4 2 5 6 1 0 2 5 4 13 25 9 5 14 9 3 6 7 7 5 2 4 6 -0 -0 3 2 1 7 10 12 13 7 0 -5 -7 -3 5 9 5 3 6 6 6 6 6 6 5 4 0 2 6 8 10 12 15 18 16 10 6 8 12 12 11 10 8 7 8 8 3 1 4 6 4 7 9 11 16 15 8 6 7 6 6 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 6 6 5 4 3 3 2 3 3 3 4 6 7 7 6 6 6 9 12 13 9 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 10 11 11 12 13 13 13 13 12 12 11 10 9 9 9 8 7 5 3 1 1 1 4 6 7 7 6 7 7 6 1 -3 -1 3 4 4 4 5 5 5 5 6 7 8 8 8 7 7 6 6 5 6 6 6 4 4 6 11 16 19 17 14 11 10 11 10 10 11 11 11 11 9 8 7 6 5 7 8 9 9 10 10 10 11 10 9 8 7 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 6 8 9 9 9 8 6 7 10 14 17 18 14 11 10 8 8 9 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 16 12 7 4 4 5 4 4 3 5 7 8 9 8 6 5 5 6 7 8 7 7 8 11 11 10 9 8 8 7 6 6 6 6 7 8 10 11 12 10 7 5 6 6 5 5 3 3 3 3 4 6 7 8 8 7 6 5 5 4 2 2 2 3 5 6 7 7 10 16 18 12 6 3 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 5 6 7 9 8 7 5 3 2 3 5 8 13 25 30 20 10 9 10 7 -2 -6 -9 -7 0 3 4 5 6 6 7 8 8 9 12 17 15 8 8 9 9 16 16 10 9 9 3 2 5 4 4 5 8 4 2 5 8 4 1 1 1 7 14 17 8 13 12 5 4 5 6 6 5 3 2 3 0 4 10 6 4 7 12 15 15 9 4 1 -2 -1 6 10 5 1 5 11 9 4 3 3 3 3 3 6 9 8 10 11 10 9 10 10 7 8 11 12 11 10 8 8 9 7 3 2 5 7 4 6 8 11 18 17 9 5 6 7 7 7 6 6 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 3 5 5 5 4 4 3 3 3 3 3 2 3 4 4 4 4 5 6 8 11 12 9 5 5 5 5 5 4 5 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 8 8 8 8 8 8 8 9 10 11 11 11 12 12 12 12 11 11 10 10 9 8 9 9 8 8 7 5 2 1 2 4 5 6 6 6 6 6 6 3 -2 0 4 4 4 5 5 5 5 5 5 6 7 8 8 7 7 7 7 7 7 7 8 6 2 4 8 13 17 19 17 14 12 11 11 12 12 13 15 17 19 17 13 8 7 9 11 12 12 11 11 13 14 15 14 12 12 12 12 11 9 8 7 6 6 5 6 6 6 5 6 6 6 5 5 5 4 5 4 4 5 7 9 9 10 10 8 7 8 10 13 18 18 15 12 9 7 7 8 7 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 13 10 8 7 6 5 5 5 6 7 7 8 8 7 6 6 6 7 8 8 8 8 9 9 9 9 10 9 9 8 8 8 8 10 10 11 10 9 8 7 6 6 7 7 6 4 3 3 3 4 5 6 7 8 7 6 5 5 3 2 2 2 3 5 6 7 7 8 12 17 16 10 4 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 5 6 9 10 9 7 4 2 2 4 8 15 25 36 32 16 8 7 6 0 -10 -12 -9 -4 1 3 5 6 7 7 7 8 9 9 12 15 14 10 9 8 8 11 12 10 11 7 2 3 4 4 4 4 10 10 7 7 6 5 2 1 2 9 14 4 3 8 6 2 1 2 4 5 5 4 3 3 5 8 10 7 9 12 15 17 18 16 5 1 1 0 5 9 5 3 7 11 9 3 2 6 6 2 5 11 10 10 10 8 3 4 13 15 8 9 11 12 11 11 8 8 8 6 4 4 6 6 5 5 6 12 19 17 8 4 6 7 8 8 7 6 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 4 4 5 5 5 6 5 5 5 5 4 4 4 4 5 5 4 4 4 3 3 3 3 2 3 3 3 2 3 3 4 6 8 9 8 7 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 6 5 6 6 6 7 7 7 7 8 7 7 7 8 8 9 11 11 11 11 11 12 11 11 11 10 9 8 8 8 8 8 8 8 9 7 5 5 5 4 4 5 5 6 6 6 7 6 -2 -3 4 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 7 7 7 7 8 7 4 3 5 8 12 15 15 13 11 10 11 11 11 12 16 21 25 24 18 11 8 10 13 13 11 10 10 11 13 15 18 19 19 18 16 13 11 10 9 8 7 6 6 5 5 5 6 6 6 6 5 5 5 5 4 4 4 5 7 8 10 10 9 7 7 7 9 13 16 15 12 11 8 6 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 7 13 18 17 14 11 10 10 11 10 9 8 7 8 8 7 7 7 7 8 8 9 9 9 6 5 6 8 9 9 8 9 9 11 11 9 7 6 6 7 7 7 7 7 8 7 5 3 3 2 3 4 5 6 6 6 6 5 4 3 2 2 2 3 4 6 7 7 7 9 13 16 14 9 4 2 1 1 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 5 8 9 10 9 6 3 2 4 9 17 27 39 40 24 9 4 2 -0 -7 -17 -17 -8 -1 2 4 5 6 7 7 7 8 9 10 10 12 14 14 12 11 10 9 9 10 10 7 5 6 6 8 2 6 14 15 13 9 3 2 1 3 7 11 10 -0 3 5 -0 -0 0 3 5 4 3 4 4 5 7 8 8 8 11 13 17 16 16 14 1 4 6 3 2 3 4 5 7 8 4 4 6 11 11 5 7 11 9 7 9 7 1 8 22 21 10 10 11 11 10 11 9 9 8 6 5 6 6 5 5 5 8 16 20 14 6 3 5 7 8 8 7 6 5 5 5 5 5 5 5 4 4 4 4 4 3 4 5 5 5 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 4 5 6 6 6 5 5 5 5 6 6 6 6 7 6 7 7 6 7 7 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 11 11 11 10 11 11 10 10 10 9 7 7 7 7 7 7 7 8 9 9 7 6 6 6 5 5 5 5 6 6 7 7 2 -1 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 7 7 7 6 4 4 4 5 7 9 10 10 9 9 10 9 8 9 13 18 21 21 17 12 9 11 13 12 10 9 8 9 10 13 18 23 24 21 16 13 13 13 12 10 10 8 6 6 5 5 5 6 6 6 6 6 5 5 5 4 3 4 5 7 8 9 9 8 7 8 8 10 11 11 12 10 8 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 4 15 25 24 19 17 16 15 16 15 12 10 9 9 9 8 8 8 7 7 8 9 9 8 6 4 5 6 6 6 7 7 9 10 8 6 3 2 4 7 7 7 8 8 9 8 6 4 3 2 2 3 4 5 6 5 4 4 3 3 2 2 2 2 4 5 6 7 7 7 10 13 14 11 6 3 2 1 1 2 3 3 3 3 3 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 6 8 9 10 8 5 2 2 9 19 28 32 32 26 14 8 4 -0 -3 -12 -20 -15 -6 0 3 5 6 6 7 6 8 11 11 10 9 9 14 16 14 12 14 12 8 7 8 7 9 10 11 10 1 4 8 13 11 10 6 2 -0 4 9 7 3 7 16 13 3 4 6 7 6 3 2 2 4 6 8 8 8 9 9 11 16 13 9 0 -2 13 14 9 3 0 1 4 5 1 1 9 8 7 12 9 8 7 6 7 10 8 7 16 28 22 11 10 11 10 10 11 11 10 8 6 6 6 5 5 5 5 11 21 19 9 4 3 5 7 8 8 7 6 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 5 5 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 8 9 11 11 10 10 10 10 10 9 9 8 7 6 6 6 6 5 5 5 7 8 7 6 6 6 5 5 5 5 5 6 7 5 1 1 4 6 5 5 6 6 6 6 6 5 5 5 5 5 6 6 8 8 8 8 8 8 3 1 4 4 5 6 6 7 7 8 9 8 7 7 8 11 14 14 12 10 10 11 10 9 8 7 6 6 7 10 14 19 21 18 14 12 12 14 15 14 13 12 10 8 7 6 5 5 5 5 6 6 6 5 5 5 4 3 3 4 6 8 8 8 8 8 8 9 8 8 9 8 9 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 6 14 19 17 14 13 13 14 14 15 14 12 11 10 9 9 8 8 8 7 7 8 9 8 8 7 6 5 4 3 4 5 6 7 6 5 3 2 4 6 7 8 9 11 12 10 7 6 4 3 2 3 3 5 5 5 4 3 3 3 3 2 1 2 3 4 6 7 7 7 8 9 10 10 7 4 3 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 2 2 2 2 3 3 4 4 4 4 5 5 4 5 7 9 9 9 7 3 2 8 17 26 30 28 18 8 8 10 8 2 -4 -16 -18 -9 -1 3 5 6 6 6 6 7 9 13 15 13 9 9 13 15 12 12 16 12 6 5 6 7 9 11 12 9 6 2 1 5 7 14 10 1 -2 4 7 2 2 13 17 10 9 8 10 7 4 3 1 3 6 9 10 9 9 9 6 8 12 6 6 -2 1 12 12 11 7 4 3 5 8 6 5 8 4 4 9 11 9 6 4 15 16 12 16 23 25 18 11 10 12 11 10 11 12 10 8 6 5 4 4 4 4 6 15 23 17 6 3 3 5 7 8 8 7 6 6 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 4 4 3 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 10 11 11 10 10 10 9 9 8 7 7 6 6 5 5 4 3 2 2 4 6 6 5 5 5 4 4 5 5 7 7 6 1 -2 2 6 6 6 6 6 7 7 7 5 3 4 4 4 4 5 6 8 9 8 9 10 6 1 3 4 4 5 5 5 6 7 8 8 6 5 5 7 7 8 7 8 9 8 7 6 6 5 5 4 5 7 10 12 12 11 10 9 10 12 14 15 16 15 14 12 10 8 7 5 4 5 5 6 6 5 5 5 5 4 4 3 4 6 7 7 7 7 8 7 7 6 7 8 8 8 8 8 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 9 8 5 5 7 7 8 9 11 12 12 11 11 9 9 8 8 6 6 5 6 8 9 9 8 6 5 3 2 3 3 5 6 5 4 4 4 5 7 9 10 13 13 11 8 7 7 6 5 4 4 4 5 5 4 3 3 4 3 2 2 2 3 4 6 6 6 7 6 6 6 7 7 6 5 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 5 5 5 5 7 9 10 9 8 6 3 7 14 18 21 28 28 16 4 4 8 9 3 -7 -19 -14 -3 3 7 8 8 6 6 6 7 10 15 18 15 10 9 11 12 11 12 14 12 8 6 4 5 8 11 9 7 11 8 9 5 6 11 5 -2 1 8 8 3 4 5 5 3 9 8 7 5 4 4 3 4 8 11 10 9 10 9 5 5 5 3 9 7 8 5 9 8 5 8 9 8 9 8 9 11 6 5 9 13 10 4 4 15 14 14 19 21 19 13 9 9 11 11 11 11 11 9 7 6 5 4 4 4 5 9 18 22 13 5 3 4 5 7 8 8 7 6 6 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 4 4 5 5 5 5 5 6 5 5 5 5 5 6 6 6 7 7 6 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 5 5 6 6 6 7 8 9 10 10 10 10 10 10 9 8 6 6 5 5 5 5 5 5 4 2 1 3 6 6 5 4 3 4 5 5 5 6 7 6 3 -1 0 5 6 6 7 7 7 7 9 8 6 5 4 4 3 2 3 6 8 10 9 8 7 4 4 3 4 4 4 4 5 5 6 7 6 5 5 4 5 5 5 6 7 6 6 6 6 4 4 4 4 4 6 8 7 7 7 8 8 9 11 13 15 15 14 13 12 10 9 8 6 5 5 6 7 6 5 5 4 5 5 4 3 3 4 6 6 6 6 6 6 5 5 7 7 8 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 4 3 3 3 3 4 7 8 11 12 13 14 12 9 6 4 3 3 3 5 8 9 9 9 7 4 2 2 2 4 6 6 6 5 5 6 7 9 10 11 10 9 8 7 7 7 6 5 5 5 5 4 4 3 3 4 4 3 2 2 3 4 5 6 6 7 6 6 5 5 5 6 5 5 5 5 4 3 4 4 4 4 4 4 4 4 5 5 3 3 2 2 2 2 3 3 4 4 5 5 5 5 7 9 11 12 11 8 5 5 11 12 10 11 21 28 21 10 5 3 3 -4 -16 -20 -9 2 6 9 10 9 7 7 7 7 10 16 22 19 10 7 9 10 13 13 11 11 11 7 4 4 6 7 8 8 5 2 6 2 3 3 -2 -4 7 14 10 2 0 1 6 12 10 7 2 1 5 8 6 4 7 9 9 10 11 9 5 4 1 2 5 8 9 3 9 8 4 11 13 8 6 4 5 10 9 5 7 16 11 3 9 11 8 13 16 17 14 11 9 9 10 10 11 10 9 8 7 6 4 4 4 5 6 9 18 21 10 3 4 5 6 7 7 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 7 7 7 7 6 7 7 7 7 6 5 5 6 6 6 6 7 8 10 10 9 8 9 10 9 7 6 6 5 4 5 5 4 5 6 7 6 5 5 4 4 5 4 4 5 6 6 6 6 7 5 1 1 4 6 6 7 7 7 7 8 10 10 9 8 7 6 4 3 4 7 9 11 8 5 5 5 4 4 4 5 4 4 4 5 5 6 6 6 5 5 4 5 5 5 5 6 7 6 5 4 4 4 3 4 5 5 6 7 7 7 7 8 11 13 14 14 12 11 10 10 10 9 8 6 6 7 7 6 5 4 5 5 5 4 4 4 4 5 6 6 6 6 5 5 5 6 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 4 3 3 2 2 2 3 5 7 11 17 20 18 11 5 2 2 2 2 3 5 7 9 9 8 7 4 3 3 3 5 6 6 5 6 7 7 6 6 6 5 5 6 6 6 6 6 6 6 5 5 4 4 3 3 4 4 3 3 3 4 5 6 6 7 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 3 4 4 5 6 6 5 4 3 2 2 3 3 3 3 4 5 5 5 6 9 13 15 16 14 8 2 3 9 9 5 6 14 20 15 10 1 -7 -12 -15 -18 -13 -2 5 8 10 10 8 8 8 8 8 10 18 24 20 10 6 7 10 15 13 11 13 13 8 5 3 1 0 7 7 -3 -5 -1 -1 -1 0 1 1 7 13 7 0 -0 3 11 15 9 6 3 -1 3 8 7 4 6 9 9 10 11 10 8 7 3 1 -1 7 11 6 9 8 3 11 12 8 6 6 6 6 6 0 7 18 12 3 7 8 11 17 16 15 12 9 8 8 9 10 10 10 8 7 7 6 4 3 4 5 7 8 16 21 11 4 5 6 6 7 8 8 7 7 6 5 5 5 4 4 4 5 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 5 5 6 7 7 6 6 5 5 4 4 5 4 4 4 4 4 3 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 6 5 5 6 6 7 6 6 7 8 9 9 8 7 8 8 8 7 7 7 6 5 4 3 2 1 2 6 7 5 5 5 4 4 4 3 5 8 9 7 6 6 5 4 3 4 5 6 7 7 7 7 7 8 9 10 10 9 8 8 5 5 6 7 9 7 5 6 6 6 5 5 6 5 5 4 4 5 6 6 7 6 6 6 5 5 6 6 6 7 6 5 5 4 4 3 4 4 5 6 7 6 6 6 7 8 10 12 12 12 11 11 11 12 13 13 10 7 6 7 6 5 4 4 5 5 6 5 4 4 5 7 7 6 6 5 4 5 6 6 6 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 4 4 4 4 4 4 3 2 3 5 10 19 27 25 15 5 3 4 3 2 2 3 5 6 7 9 8 7 5 4 4 4 5 6 7 8 7 5 4 3 2 3 4 5 5 5 5 6 6 6 6 4 4 3 2 3 3 4 4 3 3 4 5 6 7 7 7 6 6 6 5 4 4 4 4 4 5 6 6 6 7 7 5 4 4 5 5 6 6 6 5 4 3 3 3 3 3 4 4 4 5 5 8 15 20 20 17 12 6 -2 -3 5 10 4 3 8 10 3 -3 -12 -21 -22 -15 -11 -4 2 6 8 9 8 8 9 9 10 11 15 21 23 17 10 7 7 9 12 11 10 13 12 8 5 2 2 5 10 7 3 4 6 4 2 5 9 5 2 9 5 1 0 3 6 6 7 7 5 2 3 5 5 3 7 11 10 11 10 9 11 11 7 3 3 9 10 11 14 6 0 8 12 6 5 7 6 4 3 -1 7 13 9 5 10 14 18 21 18 15 11 9 8 8 9 10 11 9 7 6 6 6 4 3 4 6 6 7 15 20 13 5 6 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 5 5 6 6 7 7 6 5 5 5 5 5 5 4 4 4 4 4 3 2 2 3 4 5 5 5 5 5 4 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 6 6 8 9 8 7 7 7 7 6 7 6 7 6 5 3 2 1 -2 -1 3 6 6 6 6 5 5 4 2 2 6 10 8 6 6 4 3 4 5 5 6 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 6 4 4 4 4 4 5 5 6 6 6 6 6 6 8 10 11 11 12 12 13 14 16 18 14 8 6 6 7 6 5 4 4 4 6 6 5 4 5 6 6 7 6 5 4 4 5 6 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 7 7 9 18 21 20 16 14 10 10 6 9 19 15 10 9 10 10 9 8 9 14 21 23 21 15 9 4 9 13 18 19 19 18 16 16 13 9 7 7 6 8 9 9 8 10 12 12 14 16 17 16 13 10 10 11 11 9 9 10 11 10 9 11 12 13 13 14 16 17 15 11 9 10 12 13 13 13 13 14 14 13 12 12 11 11 10 9 8 10 11 12 13 15 16 13 10 9 8 5 5 8 10 11 12 13 13 13 14 13 13 13 13 12 11 11 10 11 11 11 11 12 12 12 13 13 14 11 8 10 14 16 15 14 13 10 11 12 13 14 16 16 15 14 14 13 12 12 13 13 14 14 14 13 14 14 14 13 13 13 12 12 12 12 12 12 13 13 12 12 11 12 13 14 14 13 12 9 7 7 12 22 25 19 16 15 15 15 14 13 13 13 14 15 15 14 13 12 10 10 15 17 16 16 16 16 16 15 13 13 13 12 12 12 11 13 14 15 14 13 12 12 12 14 16 16 14 13 13 14 15 18 17 15 13 14 14 14 14 12 11 15 19 22 21 17 15 14 13 13 14 14 14 15 14 13 14 15 16 16 16 16 16 15 14 14 14 14 14 14 13 13 13 13 12 12 11 10 9 9 9 10 11 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 14 13 11 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 11 11 12 12 12 11 11 12 12 11 11 10 11 11 12 13 12 13 13 13 13 12 12 13 13 13 13 13 13 14 14 13 13 14 14 15 15 15 13 13 14 14 12 10 8 6 6 8 10 11 12 14 14 14 14 14 15 15 15 15 17 15 14 15 18 18 17 14 10 11 11 11 12 13 14 15 15 16 18 20 20 17 14 12 12 14 14 14 14 12 12 13 14 14 14 14 14 14 15 14 13 13 13 14 15 15 15 15 14 14 15 15 14 15 15 15 15 16 18 19 18 14 11 11 14 16 16 14 13 13 13 13 13 12 13 15 15 15 15 15 15 15 14 13 13 12 12 12 12 12 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 3 0 2 14 20 19 11 9 10 20 19 8 7 11 21 24 19 9 2 4 12 19 22 21 18 15 13 12 9 9 10 10 11 13 14 14 14 14 13 12 12 13 13 13 10 9 11 12 12 9 8 9 10 9 11 12 12 10 10 12 15 17 18 14 11 12 13 14 14 13 14 15 15 14 14 14 13 12 12 10 11 12 12 11 10 10 11 12 11 11 9 4 5 8 10 11 12 13 14 14 14 13 12 12 12 11 11 11 11 11 12 12 12 12 12 13 13 14 13 10 8 11 16 18 16 14 12 12 13 14 13 13 14 15 15 14 13 13 13 12 13 14 14 13 13 12 14 14 14 13 13 13 13 12 12 12 12 12 13 12 12 12 11 12 13 14 14 13 12 9 4 -0 3 17 28 29 27 21 16 15 15 14 14 13 13 14 15 15 15 14 14 13 13 12 13 14 15 15 14 14 14 13 13 12 13 12 11 11 13 15 15 14 12 11 11 12 14 15 15 14 12 12 12 17 22 18 15 16 15 15 14 12 6 4 8 13 17 18 18 17 15 14 15 14 14 14 14 14 14 15 16 16 16 15 15 15 14 14 14 13 14 14 13 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 12 12 13 14 14 13 13 12 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 9 10 10 11 12 13 12 12 12 11 12 12 11 11 12 11 11 12 12 12 13 13 13 13 13 12 13 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 11 8 7 6 6 8 10 12 13 13 14 14 14 14 14 14 14 13 13 14 15 16 18 18 15 13 11 12 12 13 13 13 14 14 15 15 14 14 14 13 13 13 13 13 14 14 14 13 13 13 14 14 14 14 14 14 14 14 14 12 13 14 15 15 15 15 15 14 13 14 15 15 15 14 15 15 17 19 20 17 13 10 11 13 15 14 14 13 13 12 12 13 13 14 14 14 14 16 16 15 14 13 12 12 12 12 12 12 12 13 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 16 8 9 18 15 10 6 9 12 13 7 2 -0 8 15 19 17 15 13 12 11 9 7 10 13 14 16 16 17 16 16 15 12 9 7 6 7 7 7 10 11 10 10 10 9 8 8 9 12 13 12 11 11 12 14 15 15 13 11 11 13 14 14 14 14 14 15 15 15 15 14 13 13 12 13 14 12 9 6 6 8 11 13 14 9 5 6 9 11 11 12 13 13 13 13 14 13 12 11 11 11 11 12 13 14 13 13 13 12 12 12 13 13 13 12 13 15 16 15 13 12 13 14 14 13 13 13 14 14 14 14 13 13 13 14 14 13 12 12 12 14 14 13 13 13 12 13 12 12 12 13 12 12 13 13 13 13 13 14 14 13 13 12 11 8 3 1 4 13 22 29 32 27 19 15 14 14 14 13 14 15 15 15 15 16 14 13 12 12 13 14 14 14 14 16 16 16 14 13 14 13 13 13 14 15 15 14 12 11 11 12 15 16 16 14 11 8 12 18 17 15 14 14 15 16 16 11 6 5 8 12 15 16 17 17 16 15 15 15 15 15 14 15 15 15 14 14 14 14 14 13 13 14 14 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 12 13 13 14 14 14 13 11 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 8 8 7 8 9 9 10 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 13 13 13 14 13 12 13 14 14 14 13 13 13 14 14 14 15 14 14 15 14 14 14 15 14 13 11 10 10 11 12 14 14 14 14 14 14 13 13 14 14 14 13 12 12 13 14 15 17 16 13 12 12 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 14 14 13 13 12 12 13 14 14 15 15 14 14 14 14 13 12 14 15 15 15 15 14 14 13 13 13 14 15 15 14 15 15 17 18 21 18 13 12 12 12 12 13 14 13 12 12 12 13 14 14 15 15 14 14 15 15 13 13 12 12 11 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 6 10 12 11 13 17 17 14 10 10 11 11 10 10 10 13 13 13 14 16 16 14 14 15 14 10 6 4 5 7 8 10 10 9 9 10 10 10 10 10 12 11 9 10 11 12 13 12 11 10 9 10 12 13 13 13 12 12 13 15 16 15 14 14 12 11 11 10 10 7 5 6 8 9 12 13 11 9 9 10 11 12 13 13 13 14 14 13 12 12 12 12 12 12 12 13 14 13 13 13 12 13 13 13 14 14 14 12 12 12 13 13 14 14 14 13 13 12 13 14 13 14 15 13 13 13 13 14 13 13 12 12 13 13 13 13 13 12 12 12 13 13 12 13 13 13 13 13 14 14 14 13 13 13 13 14 14 11 6 1 0 7 16 35 38 24 16 15 15 15 14 14 14 14 15 15 15 14 13 13 13 13 14 13 13 13 16 22 24 21 17 17 16 15 15 14 14 13 13 13 12 11 11 12 14 15 14 13 10 11 14 14 15 14 14 14 14 16 15 13 10 8 8 10 12 14 16 16 15 15 15 16 15 14 15 15 14 14 13 13 14 13 14 14 13 14 14 14 14 13 12 12 12 11 12 12 12 12 12 12 12 12 12 12 13 13 13 14 15 15 15 14 13 12 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 8 8 9 9 9 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 12 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 14 14 15 15 15 14 13 13 13 12 12 13 14 15 14 14 14 14 14 14 14 13 13 12 12 12 11 11 13 14 16 16 15 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 14 14 13 13 13 13 12 13 12 13 13 13 14 15 15 15 15 15 14 13 13 14 15 15 15 14 13 13 13 13 14 14 13 13 14 15 16 16 17 19 18 15 14 12 11 12 14 15 14 12 11 12 12 13 13 14 15 15 14 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 13 12 11 13 14 13 13 13 14 15 15 14 13 14 14 14 13 12 12 12 12 14 13 11 9 8 10 11 13 13 13 10 10 11 12 13 14 14 12 10 8 10 11 11 11 10 9 10 12 14 15 15 15 14 13 12 11 10 10 8 7 7 8 8 9 11 13 11 9 9 10 12 13 13 14 14 14 14 12 12 11 11 13 12 12 13 13 13 14 13 13 14 13 13 14 14 13 12 11 11 13 14 15 14 13 12 12 11 12 13 14 15 14 14 13 13 13 13 14 13 13 13 12 12 12 13 13 13 12 12 12 13 13 13 13 14 14 14 14 15 14 13 14 14 13 13 13 14 12 9 2 -4 -0 25 42 33 24 18 16 15 14 14 14 14 14 15 15 15 15 15 14 14 14 13 10 6 7 18 29 27 20 21 19 16 15 15 14 12 11 12 12 12 11 11 11 12 12 12 12 12 13 13 13 13 12 12 13 13 13 12 11 9 9 9 9 11 13 14 15 15 14 15 16 15 16 16 15 15 14 13 14 13 13 14 13 13 13 13 13 13 13 12 13 12 12 12 13 13 14 14 14 15 15 15 15 16 16 17 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 9 9 9 9 10 10 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 13 12 13 13 13 13 13 13 13 14 14 14 15 15 15 15 15 15 14 14 14 14 15 15 14 12 11 12 13 12 13 14 14 14 14 14 14 14 14 14 13 13 12 11 10 11 11 11 12 15 17 18 17 15 14 14 13 13 13 13 14 14 14 13 12 12 12 13 14 13 13 13 12 11 12 13 13 14 14 14 14 15 15 15 14 14 14 13 14 15 15 15 14 13 14 14 13 13 13 14 13 14 14 14 15 16 17 18 18 16 14 13 12 12 13 15 14 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 5 4 2 0 1 2 3 4 4 3 3 4 6 8 10 11 11 12 11 10 9 10 10 8 4 0 0 2 3 4 4 5 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 24 40 44 40 36 38 39 43 49 51 49 48 52 63 67 58 44 32 21 14 13 15 15 13 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 14 14 19 19 16 15 18 18 14 6 3 1 0 2 7 24 45 58 54 43 37 31 28 30 23 19 16 16 17 29 35 36 41 56 76 87 80 71 64 53 43 35 25 10 3 3 3 2 2 0 2 8 15 21 25 26 27 27 27 26 16 8 17 24 27 32 34 32 32 36 41 44 44 30 12 2 0 0 0 0 0 0 0 0 0 2 0 7 22 37 25 24 27 30 41 31 25 48 66 80 96 114 119 108 86 71 67 62 58 60 76 85 74 64 70 81 83 80 76 76 80 82 81 73 60 59 62 71 78 82 94 103 107 116 131 147 152 136 109 90 116 132 156 154 144 133 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 8 8 5 1 0 0 1 2 3 3 3 3 4 7 10 12 13 13 12 12 11 12 12 10 6 2 0 0 0 1 2 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 41 43 37 32 32 32 35 42 48 51 53 59 69 70 58 41 25 13 10 11 12 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 9 8 12 13 12 15 20 24 17 5 2 8 17 21 17 24 41 50 46 39 35 27 21 26 29 24 18 16 16 24 33 36 38 49 67 81 86 85 73 53 40 34 20 6 0 0 0 0 0 0 0 0 2 6 12 18 22 23 24 24 20 9 1 3 7 12 18 24 25 28 30 34 41 39 32 12 2 4 7 10 2 0 0 0 0 2 1 9 20 46 21 13 25 37 49 43 22 26 38 58 72 96 116 118 107 91 80 72 66 62 64 68 69 76 83 83 78 73 74 79 89 99 96 83 68 61 59 64 75 87 97 106 117 136 144 151 147 122 87 75 100 122 142 137 127 124 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 10 10 8 4 0 0 0 1 2 3 3 3 4 6 9 12 14 14 13 13 13 14 13 11 8 4 2 0 0 0 0 1 2 2 2 3 3 3 4 4 4 4 4 3 3 2 1 1 1 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 38 40 34 26 24 25 27 32 41 51 60 69 76 70 53 34 18 10 8 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 8 2 0 4 4 3 11 22 35 31 17 14 26 49 54 37 26 29 35 34 32 31 23 18 23 31 34 26 17 16 22 31 34 37 44 60 76 85 85 68 47 39 32 20 7 0 0 0 0 0 0 0 0 0 0 1 5 10 16 16 20 20 17 2 0 0 2 3 4 14 23 30 33 36 36 36 26 16 15 23 30 25 17 22 13 6 13 26 45 53 50 26 25 35 38 40 36 30 23 20 46 68 86 108 119 118 108 99 91 86 84 81 76 73 74 72 63 56 53 56 68 87 114 119 101 82 73 72 80 94 106 114 117 120 126 127 131 130 117 102 100 112 121 122 108 90 94 119 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 13 12 10 6 2 0 0 0 1 2 3 4 4 6 8 11 14 14 14 15 16 17 16 13 10 7 4 2 1 0 0 1 1 1 1 2 2 2 2 2 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 32 36 29 20 17 17 18 21 28 42 57 69 74 67 46 27 15 11 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 6 1 0 0 0 0 8 21 42 52 45 39 42 52 53 43 31 24 22 22 24 25 23 19 19 24 30 28 20 15 20 28 31 34 38 51 70 84 83 66 47 38 30 16 7 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 6 7 16 6 2 0 0 0 0 1 10 33 40 40 37 37 35 27 21 27 36 36 35 39 38 28 36 61 74 70 62 46 37 32 21 12 14 27 51 67 84 99 102 112 123 123 117 111 107 102 102 106 103 96 90 79 66 58 59 64 74 90 114 123 113 99 91 93 102 114 122 126 127 128 121 112 116 128 134 135 140 137 126 114 101 92 101 126 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 17 16 12 7 3 1 0 0 0 1 2 4 4 5 7 9 12 15 16 17 19 22 22 19 16 14 10 6 3 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 26 31 25 15 11 10 11 12 15 24 39 53 60 56 39 22 14 12 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 4 10 23 44 60 64 58 48 40 31 25 22 20 19 19 21 24 24 21 18 17 19 20 18 14 13 18 25 30 32 41 58 78 83 70 52 40 30 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 3 0 0 0 0 0 4 23 35 39 38 38 45 47 36 31 34 33 34 36 47 48 53 71 82 66 49 63 52 44 49 43 16 21 76 105 120 125 118 116 121 124 115 114 114 110 108 110 112 113 108 100 91 86 88 96 104 110 116 117 114 110 105 105 114 127 132 132 135 141 140 129 127 142 157 162 164 155 138 122 112 117 132 146 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 20 20 16 11 6 2 1 0 0 0 1 3 3 4 5 6 9 13 16 18 20 23 25 25 24 22 18 13 8 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 6 18 26 22 13 7 5 5 6 6 9 20 32 41 41 30 19 14 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 13 18 25 38 48 52 48 38 28 18 15 15 16 16 17 19 21 22 20 17 14 13 14 15 10 6 8 16 23 27 31 42 59 72 74 60 45 34 16 11 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 6 12 19 24 32 39 48 55 56 53 48 42 34 27 27 38 50 63 62 51 65 65 64 89 95 66 45 82 119 132 131 122 115 115 114 105 106 112 111 107 105 106 110 111 108 107 109 111 118 125 127 122 116 116 115 111 109 116 129 136 137 145 158 164 154 145 150 163 171 170 170 160 146 143 148 152 148 131 nan nan nan nan nan nan nan nan nan 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 15 21 24 21 16 11 6 4 1 0 0 0 2 2 3 3 3 5 9 14 19 23 25 26 26 26 25 22 17 12 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 9 20 20 12 6 4 3 2 2 2 7 16 23 26 23 16 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 12 15 17 19 21 25 30 33 32 29 25 20 17 15 14 14 13 13 14 14 15 17 13 7 3 2 5 3 0 1 6 13 16 17 25 37 50 61 61 54 42 21 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 15 27 45 62 70 66 66 56 26 3 3 12 23 46 83 109 106 88 115 121 119 100 116 138 139 133 125 116 111 103 92 94 102 106 104 100 99 102 103 104 108 112 115 121 128 132 131 126 122 121 120 118 123 131 135 138 150 174 184 171 150 147 156 158 158 166 169 162 160 161 148 127 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 11 18 25 27 22 16 11 8 4 1 0 0 0 1 1 1 1 2 5 9 14 20 23 23 24 23 22 20 17 12 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 3 12 15 11 7 4 1 0 0 0 2 6 11 15 16 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 17 22 20 20 21 23 24 24 22 20 18 17 16 14 12 10 7 6 8 8 8 10 7 2 0 0 0 0 0 0 0 5 4 6 8 14 26 37 47 52 47 32 19 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 12 28 42 48 60 64 42 6 0 0 2 10 64 128 143 130 130 133 134 127 128 136 137 132 126 120 114 103 90 87 94 100 102 101 99 98 98 98 102 107 110 116 126 135 139 134 127 124 126 130 142 150 144 137 147 169 182 174 155 147 147 143 139 141 145 143 137 129 114 94 82 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 5 7 12 20 26 25 21 18 13 8 4 2 0 0 0 0 0 0 0 2 5 9 12 16 18 19 20 19 17 14 9 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 9 8 5 2 0 0 0 1 3 5 8 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 17 20 18 17 18 19 19 19 17 15 13 9 6 6 6 7 5 5 5 6 7 8 6 1 0 0 0 0 0 0 0 1 0 1 1 2 2 12 18 34 41 39 31 17 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 12 23 39 51 31 11 1 0 0 25 81 128 131 125 126 127 128 132 135 133 126 122 119 116 109 98 92 97 104 105 103 100 99 100 96 98 103 104 109 121 136 147 145 131 126 129 135 147 152 146 138 141 156 168 169 160 152 145 137 126 118 115 109 102 92 84 85 87 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 1 3 7 12 18 21 23 25 24 18 13 7 3 0 0 0 0 0 0 1 2 5 7 10 12 14 16 17 16 13 8 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 5 2 1 0 0 0 2 3 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 12 12 14 16 16 16 17 15 12 5 0 0 0 1 3 4 3 3 5 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 19 29 33 29 19 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 23 47 58 42 10 0 0 4 39 100 120 116 117 115 119 128 130 128 122 118 116 114 110 104 101 106 112 111 110 104 103 105 101 102 104 102 104 113 126 140 150 149 144 144 148 153 150 142 134 134 144 158 165 163 157 148 138 127 114 104 97 95 96 99 103 107 108 nan nan nan nan nan nan nan 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 3 6 10 13 17 25 33 33 27 19 11 6 4 3 2 2 1 0 1 2 3 5 8 10 13 15 16 14 10 7 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 2 0 0 0 0 1 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 9 10 13 16 17 16 17 13 4 0 0 0 0 0 0 1 0 0 2 4 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 24 25 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 42 64 63 30 6 0 0 29 82 111 112 114 116 119 124 125 124 120 118 115 111 108 106 107 111 113 112 112 109 110 109 107 109 109 106 105 108 115 125 140 154 160 162 165 169 167 158 146 140 143 150 158 161 158 151 144 136 125 114 109 110 112 112 115 116 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 0 0 1 2 5 7 9 15 26 32 32 28 23 16 11 9 7 6 4 2 0 0 0 2 4 6 9 12 13 14 13 10 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 2 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 11 12 13 17 20 20 19 17 13 3 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 16 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 26 58 77 60 21 0 2 26 75 107 112 114 118 121 121 120 119 118 118 117 114 109 108 110 114 112 104 103 109 112 112 109 113 114 110 106 106 109 115 124 138 152 163 170 175 177 172 164 160 159 156 156 160 161 155 157 156 142 126 118 116 114 114 115 115 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 2 1 0 2 4 5 7 12 21 26 27 27 24 19 15 13 12 9 6 3 1 0 0 1 3 6 9 11 13 14 13 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 16 17 19 21 22 22 20 15 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 45 83 83 37 1 5 32 82 113 119 118 120 120 118 116 114 114 115 116 116 111 108 111 116 117 113 111 115 115 113 109 110 113 110 101 97 103 112 116 123 135 150 162 170 174 167 159 160 171 175 170 169 172 172 179 178 161 134 112 101 99 103 109 113 114 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 1 3 3 2 2 5 4 5 10 16 20 22 24 25 22 18 16 15 13 11 8 4 2 1 1 2 4 7 10 12 14 16 14 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 6 12 16 18 19 18 18 17 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 27 65 84 45 4 4 37 88 121 128 128 128 121 115 114 113 112 112 112 112 109 106 108 114 118 120 123 124 122 117 110 106 108 107 96 84 91 109 114 119 128 140 152 160 163 156 143 139 151 168 181 183 185 191 198 194 172 132 96 78 74 82 96 112 119 122 nan nan nan nan nan 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 1 0 2 2 1 2 4 2 3 4 8 12 16 22 26 23 17 14 14 14 13 12 10 8 6 5 5 5 5 7 11 14 15 16 14 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 8 6 5 3 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 2 0 0 0 1 2 3 4 4 3 2 1 1 3 6 7 9 9 10 10 6 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 40 71 57 7 0 20 79 121 136 137 137 130 120 118 120 119 117 115 112 107 103 104 109 113 114 115 121 122 120 112 104 105 108 98 81 85 102 107 114 124 136 143 146 149 148 136 125 125 136 157 175 184 191 196 188 160 116 79 58 50 52 71 106 121 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 18 10 4 1 0 0 0 2 4 5 4 4 5 8 15 23 23 16 12 12 14 14 12 11 11 11 10 9 7 5 6 9 13 16 16 15 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 8 7 7 6 5 4 3 1 2 2 3 3 2 3 4 4 2 2 1 0 1 1 0 0 0 0 0 0 0 2 5 7 7 7 7 6 3 1 1 4 4 4 5 5 5 5 3 2 1 2 2 3 4 5 4 4 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 49 58 20 3 0 47 98 130 137 135 135 131 128 131 133 132 127 122 115 110 108 108 109 110 109 112 116 118 115 109 107 109 106 96 96 104 104 106 117 130 135 133 133 136 131 121 118 121 129 144 162 173 178 168 141 99 65 46 35 34 56 98 113 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 38 28 14 3 0 0 0 2 8 12 9 6 4 5 8 14 16 13 12 13 13 13 13 13 12 12 12 13 12 8 6 7 11 16 17 16 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 8 8 7 8 7 6 6 6 6 7 7 8 8 9 7 6 5 6 7 7 4 1 0 0 0 0 0 1 5 10 11 9 7 6 6 5 3 3 4 5 4 5 5 6 6 6 4 3 3 3 4 4 3 2 2 3 4 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 25 42 30 11 2 16 53 98 127 133 128 124 123 128 133 135 130 124 119 114 111 110 110 112 114 114 116 118 116 113 112 112 112 110 111 111 105 102 109 122 128 126 121 120 119 116 115 117 119 125 138 154 161 155 128 93 64 50 42 45 70 98 104 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 51 45 29 13 4 0 0 0 6 15 16 12 10 8 8 8 8 8 10 13 13 11 11 15 17 16 13 14 15 12 8 6 8 12 16 16 13 7 3 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 8 8 10 10 10 11 11 13 14 14 12 11 10 10 8 8 9 8 4 1 0 0 0 0 0 2 8 13 14 12 8 7 7 6 5 5 6 6 7 8 8 8 8 8 6 5 4 4 4 4 3 2 2 3 3 3 4 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 19 10 2 2 15 52 106 135 121 101 95 101 109 114 110 103 100 101 104 107 110 114 120 124 123 122 119 114 111 111 112 112 112 109 104 100 103 112 120 119 110 107 106 105 104 103 104 109 121 138 150 148 131 106 85 76 74 79 92 102 100 94 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 54 59 61 48 32 17 7 3 2 4 11 15 13 13 13 13 9 4 4 7 12 14 11 7 8 13 14 13 12 12 12 9 4 4 6 10 14 12 7 3 1 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 7 9 11 12 13 12 14 16 15 13 12 11 10 8 7 6 4 1 0 0 0 0 0 1 4 9 14 15 13 10 8 7 7 7 12 17 17 21 23 19 15 14 10 7 6 5 5 5 4 4 3 3 3 3 4 3 4 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 13 14 16 23 26 18 9 5 2 0 0 1 1 2 4 1 0 0 0 0 0 0 0 0 0 0 0 4 7 5 0 0 1 19 73 123 121 86 69 70 80 91 92 83 78 78 87 95 102 110 118 124 128 128 125 118 111 108 109 108 106 104 103 100 98 102 107 104 96 94 93 94 93 88 86 90 101 119 138 148 144 129 115 111 110 108 108 105 100 97 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 43 56 66 61 48 34 22 14 10 8 11 15 14 13 12 13 10 5 3 6 8 14 13 8 3 4 6 7 7 8 9 6 2 1 0 3 6 9 7 3 1 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 7 7 10 11 11 12 12 12 12 12 11 9 7 5 4 2 0 0 0 0 0 2 5 7 10 12 13 12 9 7 6 9 18 31 37 34 31 30 30 25 18 12 8 7 6 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 17 16 14 12 16 33 46 40 22 9 5 0 1 4 4 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 7 42 100 125 93 62 55 60 72 79 76 72 70 74 82 91 99 107 115 122 128 128 122 113 109 110 110 110 108 106 104 99 97 95 90 84 86 89 92 94 90 84 85 93 107 125 140 148 147 138 132 124 114 108 108 110 112 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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25 28 32 36 35 30 21 15 13 14 16 18 21 26 34 44 53 56 50 42 36 33 34 42 49 58 66 66 52 39 34 30 26 22 18 18 18 21 27 27 19 10 7 9 12 16 18 20 16 9 4 2 10 17 19 18 16 14 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 8 8 8 7 7 6 6 7 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 7 10 17 20 16 13 13 18 19 16 13 8 4 4 4 5 5 4 4 3 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 12 13 14 16 19 21 21 22 23 20 17 14 10 7 4 1 8 29 45 48 39 26 19 17 17 19 29 48 56 53 48 45 44 45 44 41 39 37 35 31 26 21 14 7 1 0 0 0 0 0 0 0 0 1 2 4 10 18 32 47 44 33 34 44 51 46 36 24 12 6 2 1 1 4 8 19 51 96 136 155 151 132 118 120 127 136 143 144 138 127 122 119 102 76 70 73 77 95 132 154 156 142 137 134 132 129 119 102 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 13 15 17 19 18 15 12 11 12 12 12 13 15 21 28 37 45 45 43 44 52 57 52 46 46 54 61 60 52 46 42 36 29 21 19 24 28 34 37 33 25 18 16 18 21 24 28 26 20 13 11 15 21 22 23 20 21 19 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 9 8 7 7 7 6 6 7 9 10 10 10 9 9 10 10 10 10 9 8 7 6 7 10 16 21 18 12 11 18 22 17 10 6 4 4 4 3 4 4 4 4 3 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 11 12 16 19 22 26 27 20 13 10 7 5 5 4 10 29 41 48 46 34 23 20 20 25 35 50 58 54 47 43 40 42 45 45 42 41 40 38 33 26 18 13 4 0 0 0 0 0 0 0 0 0 0 1 2 5 12 28 36 32 29 32 35 35 31 24 15 7 3 1 1 2 5 8 21 60 104 136 151 146 132 120 116 121 128 132 132 132 135 138 119 81 73 77 85 104 135 158 162 156 149 142 138 133 120 100 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 4 3 3 3 4 5 6 2 4 6 7 5 7 12 17 21 27 32 35 40 54 70 68 55 45 40 45 54 59 61 61 54 42 30 22 23 29 34 37 41 41 34 30 30 30 28 29 30 28 23 20 20 22 22 24 24 26 27 23 16 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 7 7 7 7 6 6 6 8 10 11 11 11 11 12 12 12 11 10 9 8 7 8 10 16 21 20 14 13 18 22 17 10 5 4 4 3 3 3 3 4 3 2 2 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 15 20 26 32 34 24 13 10 10 14 16 14 19 27 30 37 43 42 35 33 35 41 49 61 68 62 50 42 35 36 43 47 47 46 45 44 41 34 26 20 12 4 2 0 0 0 0 0 0 0 0 0 0 0 2 10 20 20 17 16 17 18 20 19 14 8 5 3 2 2 4 4 7 31 70 106 132 144 146 138 126 123 125 123 115 112 126 142 139 113 97 94 102 114 129 142 153 159 157 151 144 139 121 101 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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