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