Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 7 7 8 7 7 7 6 6 5 4 4 5 5 5 5 5 6 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 2 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 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 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 7 7 8 7 7 7 7 5 4 7 10 12 10 7 5 6 6 6 6 7 7 7 6 5 2 -1 -1 3 6 6 7 8 8 1 1 3 2 2 4 5 6 6 3 5 6 7 8 7 4 3 4 3 0 -0 2 2 0 -0 2 5 6 5 4 2 3 7 7 2 -1 -1 0 0 2 6 6 3 1 0 1 0 2 5 4 3 4 4 5 5 4 3 2 2 2 6 21 36 29 11 6 5 3 3 3 3 3 3 4 4 5 5 5 5 5 7 9 11 15 17 16 11 6 3 2 1 2 3 4 4 5 5 5 5 5 4 4 4 4 4 4 5 6 6 5 4 5 4 4 4 4 4 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 5 5 6 6 5 4 4 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 7 9 9 8 7 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 6 5 5 4 3 4 7 15 19 15 12 12 13 12 7 3 -0 -4 -5 1 4 4 8 8 5 5 6 6 4 -1 -7 -10 -10 -10 -7 -2 4 6 7 8 8 9 10 12 15 18 16 11 8 6 5 6 6 6 5 4 3 2 4 8 13 13 10 8 7 8 7 7 7 6 6 6 7 10 11 12 10 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 nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 6 7 7 7 7 6 6 6 5 4 4 4 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 6 4 5 9 12 11 8 6 6 6 6 7 7 6 6 6 5 1 -2 0 5 8 8 9 12 7 3 2 2 2 1 2 2 5 6 4 6 8 10 11 10 7 4 2 0 -0 2 6 6 3 1 1 3 6 7 6 6 6 5 5 5 2 -2 -2 -1 1 4 6 3 1 2 1 1 1 5 7 6 4 3 4 6 7 7 7 9 12 18 28 31 18 6 5 4 3 3 3 3 3 3 4 5 5 4 5 5 6 7 8 10 14 16 15 11 7 4 3 3 3 4 5 5 5 5 4 4 5 4 3 3 3 4 4 4 5 5 5 4 5 5 5 4 5 6 6 6 5 4 4 3 3 4 4 4 5 4 5 4 4 2 -1 1 3 3 2 3 4 5 5 6 6 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 5 6 8 9 10 9 7 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 7 6 5 5 4 3 4 7 13 14 14 13 12 13 12 10 10 6 4 4 5 5 8 8 7 9 9 7 6 4 0 -3 -4 -4 -5 -3 2 5 6 7 7 7 7 9 11 13 12 9 8 6 7 8 9 9 8 6 4 3 6 11 12 8 5 4 5 7 9 8 6 5 5 5 5 8 9 9 9 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 2 2 2 2 2 1 1 2 2 2 2 3 3 3 3 3 2 2 2 2 2 3 3 3 3 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 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 6 5 4 7 11 11 9 6 5 6 6 7 6 6 6 5 4 0 -2 2 7 8 6 5 9 6 4 2 0 1 3 6 1 3 4 5 4 4 4 6 6 6 5 3 2 2 5 7 8 7 5 4 7 10 11 9 8 7 5 2 3 6 5 2 2 1 3 7 6 4 2 1 0 1 6 8 5 3 3 6 10 13 14 14 16 22 29 31 21 9 5 4 3 3 3 3 3 3 4 4 4 4 4 4 5 6 7 8 9 11 14 14 12 8 6 5 5 5 5 5 5 5 5 5 4 4 4 2 2 3 4 4 3 4 4 4 4 5 5 5 5 5 6 6 5 4 4 4 4 4 4 5 4 5 5 5 4 4 3 -2 -4 0 2 1 0 3 5 6 6 6 5 4 5 6 5 5 4 4 3 3 3 4 4 4 4 4 4 5 7 9 10 9 6 5 5 5 5 5 5 4 3 3 3 2 3 3 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 5 6 6 7 6 5 5 4 3 3 3 5 9 10 9 9 8 8 8 8 6 6 6 7 7 5 5 5 8 9 7 5 5 5 4 4 4 3 2 3 5 6 7 7 7 7 6 7 8 8 7 6 6 7 9 12 13 12 10 6 4 7 10 9 5 3 3 5 6 8 7 6 5 5 5 5 6 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 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 7 7 7 6 5 5 5 6 6 7 6 6 5 4 4 4 3 4 4 4 3 3 2 2 3 4 4 3 3 4 4 4 4 3 3 3 2 2 2 2 2 3 2 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 4 4 4 5 5 6 5 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 5 5 7 9 11 9 7 6 6 6 7 7 6 5 5 4 -1 -7 -3 6 7 2 1 6 6 6 6 3 1 8 12 5 -1 1 4 2 -1 -3 -2 1 3 3 3 2 4 5 5 8 11 9 9 11 13 14 12 10 9 7 1 1 7 12 11 8 5 6 10 10 7 3 1 1 4 8 8 5 3 5 8 12 15 18 21 26 31 33 26 12 5 4 4 3 2 3 3 3 3 4 4 4 4 5 5 5 6 7 8 9 9 11 12 12 10 9 8 8 8 7 6 5 4 4 4 4 4 3 2 2 3 4 4 4 4 5 5 4 5 6 5 5 5 6 6 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 1 -5 -4 3 3 -0 1 5 7 6 5 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 5 6 8 10 9 7 5 5 5 5 6 6 5 4 3 2 2 2 3 4 4 5 5 5 6 6 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 4 4 3 3 2 1 2 2 3 5 6 5 5 5 4 4 4 5 7 9 6 3 3 5 6 7 6 4 3 2 5 8 7 5 5 5 6 6 7 7 6 6 6 6 6 6 6 6 7 9 13 17 18 15 10 7 7 8 7 4 3 3 4 6 6 6 5 5 5 4 3 4 6 8 9 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 6 6 7 8 8 8 8 6 5 6 6 7 7 7 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 3 3 3 2 3 3 3 3 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 5 5 5 6 6 6 6 7 6 7 7 7 8 8 8 8 9 9 9 8 8 8 7 6 5 6 9 10 10 7 6 6 6 6 6 6 6 5 4 -3 -13 -14 -1 6 5 7 7 5 7 10 6 3 7 11 6 -2 -1 4 4 1 -2 -2 -3 -3 -1 -1 0 4 5 4 9 16 13 10 9 10 12 13 13 11 10 4 -1 3 10 13 13 13 11 10 11 9 6 5 5 7 8 7 7 7 9 10 11 15 21 27 32 33 27 16 6 4 4 3 2 3 3 3 3 3 4 4 3 4 5 5 5 6 7 7 8 8 9 9 11 11 10 10 10 9 8 6 4 4 4 4 4 3 3 2 2 3 4 5 5 5 6 7 7 5 6 5 5 5 5 4 3 3 4 4 4 4 4 5 5 6 6 6 5 4 4 3 -1 -4 0 7 6 4 6 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 9 8 6 5 4 5 5 6 6 5 3 1 1 1 2 3 4 4 5 6 6 7 6 5 4 3 3 4 4 4 4 4 5 5 5 5 5 4 3 2 1 0 0 0 0 -0 -1 0 2 3 4 5 5 4 4 4 4 6 9 9 7 5 4 5 8 8 3 -1 1 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 6 6 7 7 9 13 19 22 20 14 9 7 7 5 4 4 4 4 5 5 5 4 4 5 4 3 3 5 7 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 5 5 5 6 7 9 11 9 7 5 5 5 6 7 7 7 6 5 5 5 5 4 4 4 4 3 4 4 3 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 2 2 3 2 2 2 2 2 3 3 2 3 3 3 3 3 4 4 3 2 3 3 4 4 3 4 3 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 5 6 6 6 6 6 7 7 6 6 7 7 7 8 8 9 9 10 11 10 8 8 8 8 7 5 5 8 10 10 8 6 6 6 6 6 6 6 6 4 -1 -11 -13 -4 4 7 10 7 4 9 11 10 5 1 4 5 -0 0 5 6 3 1 -0 -2 -3 -2 -1 0 4 8 8 11 15 11 6 4 5 9 12 12 11 10 6 1 1 6 10 11 13 8 5 7 9 9 8 9 10 9 8 9 10 9 8 9 15 21 27 30 25 16 8 4 4 3 3 3 3 3 3 4 4 4 3 3 4 4 5 5 6 6 7 7 7 7 8 9 10 11 11 10 9 9 6 5 4 3 3 3 3 3 3 4 4 4 5 6 6 7 9 8 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 4 4 4 3 -0 -2 4 8 7 7 7 6 6 6 7 7 5 3 3 4 4 4 4 5 5 5 4 3 4 5 6 6 6 7 8 8 7 5 4 4 5 5 5 6 5 3 1 1 1 2 3 5 5 6 7 7 6 6 4 4 3 3 4 4 4 4 3 3 4 4 4 4 3 1 -1 -3 -3 -2 -0 -0 -0 1 2 3 5 6 6 5 5 5 4 5 7 8 9 9 7 7 8 7 4 2 5 7 4 4 5 5 5 4 4 3 4 5 5 5 4 5 6 7 7 7 8 11 17 23 23 17 10 6 5 4 5 4 5 5 6 6 4 3 4 4 5 4 3 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 nan nan nan
nan nan nan nan nan nan nan 2 3 3 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 8 10 11 10 7 5 4 5 5 6 6 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 3 3 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 5 5 5 5 6 6 6 7 7 6 6 6 6 7 7 8 9 10 11 12 11 10 8 8 8 8 7 5 6 7 8 9 8 7 6 6 6 6 6 6 6 5 2 -3 -5 1 4 4 6 5 4 9 12 10 5 2 3 6 4 3 7 5 1 2 4 2 1 2 2 3 6 11 11 11 9 6 1 0 2 6 10 10 9 8 6 4 5 8 10 7 8 6 2 4 6 10 13 11 11 10 10 10 9 6 4 7 13 21 24 22 15 8 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 7 7 7 6 7 8 9 10 11 10 9 8 6 5 4 3 3 3 3 3 4 4 4 5 5 6 7 8 8 7 5 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 6 6 6 5 5 5 5 1 -2 2 7 8 6 4 5 7 9 8 6 4 3 4 4 5 5 5 5 5 4 4 4 5 6 7 6 6 6 7 7 6 5 5 5 5 5 6 6 6 4 3 1 2 3 4 5 6 7 7 7 7 6 5 4 4 4 4 4 4 2 2 3 4 4 4 3 2 -1 -2 -2 0 3 4 5 5 5 5 5 6 6 4 5 6 6 6 6 7 7 8 8 9 8 6 7 8 10 6 4 4 4 4 4 4 2 0 1 3 4 5 5 5 6 7 7 7 7 9 14 20 22 18 10 6 4 5 4 4 5 6 7 7 6 4 4 5 7 5 3 4 6 6 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 nan nan nan 2 2 2 3 3 3 5 5 5 4 3 2 2 2 2 2 2 2 2 2 1 2 3 5 7 9 11 9 7 5 4 5 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 3 4 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 4 5 5 5 5 6 7 8 7 6 5 6 6 7 8 8 10 11 12 12 11 10 8 8 8 8 7 6 5 6 8 9 8 7 7 6 6 6 6 6 5 5 3 1 -2 1 5 6 6 5 7 10 10 8 5 4 4 6 6 6 6 2 -0 3 6 5 3 4 3 4 7 10 11 8 4 1 -0 2 3 4 8 11 10 7 4 7 11 9 4 5 9 10 5 2 6 9 10 9 8 10 10 8 5 3 4 8 14 20 21 15 8 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 6 6 6 7 7 9 10 10 9 8 7 5 4 3 3 3 4 4 4 5 4 4 5 6 7 7 7 8 7 5 5 6 5 5 5 5 4 5 5 6 6 6 5 5 5 5 6 7 7 6 6 6 7 5 0 -0 5 8 6 2 3 6 8 8 7 5 4 5 5 5 5 5 5 5 5 4 3 4 6 7 7 6 5 5 5 5 5 5 5 5 5 6 7 8 8 6 4 2 3 4 5 6 7 7 7 7 7 7 6 5 5 4 4 3 2 1 2 4 6 5 3 3 3 3 4 5 7 8 8 8 7 6 4 4 5 4 3 5 7 7 7 6 5 6 7 9 8 6 7 10 11 7 4 3 3 3 3 4 3 1 -1 -2 -0 3 5 6 6 6 6 6 6 7 10 14 18 17 13 8 6 5 4 3 4 5 5 6 6 5 6 8 8 5 3 4 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 2 1 2 4 5 5 5 5 3 2 1 1 1 1 1 1 1 1 1 2 2 4 6 9 10 9 7 6 5 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 6 7 7 7 6 6 6 7 7 8 9 10 11 10 11 11 10 8 8 8 8 7 6 5 6 8 9 9 8 7 6 6 6 6 6 5 5 4 2 -0 -2 2 8 10 9 10 11 7 5 8 7 4 3 5 6 4 1 1 5 8 7 4 4 4 5 7 9 9 6 3 1 1 4 6 4 5 11 12 8 3 8 12 6 1 4 6 6 8 3 7 8 5 4 5 9 9 6 3 4 8 11 15 18 15 9 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 8 6 4 4 4 4 4 5 5 5 4 4 4 5 6 7 8 10 11 10 8 6 5 5 6 6 6 6 6 7 8 8 8 7 7 6 6 7 7 7 6 6 6 6 3 1 3 6 4 2 2 4 4 5 6 6 6 5 5 5 6 6 5 5 4 4 4 4 5 7 7 6 5 4 4 5 5 5 5 5 6 6 7 8 9 9 7 4 3 3 4 6 6 6 6 7 7 7 7 7 6 5 4 3 2 1 2 4 7 8 6 5 6 7 8 8 7 6 6 6 5 4 3 3 4 3 4 5 6 6 7 7 6 5 7 8 7 5 7 10 12 8 5 3 3 3 4 5 6 6 2 -1 -2 -1 4 6 6 6 6 5 6 6 7 9 12 14 14 13 11 7 3 2 3 4 4 4 3 3 6 9 9 7 4 3 3 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 3 2 1 0 2 3 3 4 5 5 5 4 2 1 0 0 1 1 0 0 1 1 1 2 3 5 8 9 10 9 6 4 3 3 3 4 4 4 3 3 3 3 3 4 4 3 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 5 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 6 7 7 7 6 6 7 7 8 8 9 9 9 9 10 10 10 9 8 8 8 7 5 5 6 7 9 9 8 7 6 6 6 6 6 5 4 3 3 2 -0 2 7 11 11 9 8 5 5 6 6 4 2 3 5 4 3 4 7 10 9 7 7 7 7 7 8 9 6 3 2 1 4 7 5 4 9 13 9 4 6 9 5 4 6 4 2 4 3 6 6 5 5 7 10 8 5 3 5 8 10 14 16 10 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 5 6 6 6 6 6 6 6 7 7 7 8 8 8 8 6 5 4 4 4 5 5 4 4 3 3 4 4 5 7 8 11 14 15 13 11 9 8 7 7 7 7 7 8 8 9 10 10 9 8 6 7 7 6 4 4 5 5 4 1 1 2 1 1 2 2 2 3 4 5 6 6 5 6 6 6 6 5 5 4 3 3 4 6 6 7 5 4 3 3 4 5 5 5 6 7 8 9 9 10 10 7 4 3 3 5 6 6 6 6 7 7 7 8 7 6 5 4 3 2 2 4 7 10 10 8 7 8 8 8 6 5 4 3 2 2 3 4 3 5 5 5 5 6 8 9 9 9 9 8 6 5 7 10 11 8 5 4 4 4 5 7 10 11 6 5 2 1 4 6 6 6 6 6 6 6 6 6 7 9 11 12 11 8 4 2 2 3 4 3 2 1 5 8 8 8 6 4 3 4 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 3 3 1 -0 0 2 3 3 3 4 5 5 4 3 2 1 1 1 0 0 -0 -0 0 1 1 2 4 7 9 10 9 7 5 3 3 3 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 5 5 5 5 5 4 5 4 4 5 5 4 4 4 4 4 5 6 6 7 7 6 6 7 8 7 8 8 8 8 8 9 10 11 11 9 8 8 8 7 6 6 6 7 9 9 9 7 6 6 6 6 5 4 3 3 3 3 3 3 7 12 11 6 3 3 4 3 3 2 2 3 3 3 7 8 7 7 7 9 10 10 8 8 9 9 6 3 2 2 3 5 5 4 6 9 8 5 5 4 5 7 10 5 3 4 2 0 2 6 10 13 11 7 3 2 4 5 6 12 13 7 4 3 3 3 4 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 7 7 8 8 7 6 6 5 5 5 5 5 4 3 2 2 3 3 4 5 7 8 10 13 15 15 14 13 12 11 11 11 10 10 8 8 8 9 8 7 6 6 5 4 3 4 6 6 5 3 2 1 -1 -0 1 1 1 2 3 4 5 5 5 6 6 6 7 6 6 4 3 3 3 4 5 6 5 3 1 -0 1 4 5 5 6 7 7 8 10 11 11 10 6 3 2 3 5 6 7 6 6 6 7 7 8 7 6 5 3 3 3 5 8 11 12 9 7 7 7 6 6 5 4 4 3 3 2 2 3 5 8 8 8 7 9 12 11 10 10 8 7 6 6 8 8 7 5 6 6 6 6 7 10 12 9 6 6 5 4 5 6 6 6 6 6 6 6 6 6 6 7 8 6 5 4 4 3 3 3 3 3 3 5 5 6 6 5 4 3 3 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 2 1 -0 0 1 2 3 3 3 3 4 5 5 5 4 3 2 1 1 0 0 -0 0 1 1 2 3 6 8 10 10 8 6 4 3 3 3 3 2 1 2 2 1 2 2 2 2 2 2 3 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 11 12 12 10 9 8 8 7 6 6 7 8 9 9 9 7 7 6 7 6 5 4 3 3 3 4 5 6 10 13 10 3 -0 3 4 4 2 2 3 5 4 4 9 10 5 3 4 8 11 11 9 8 8 7 4 2 4 3 3 4 4 4 4 6 5 3 4 5 5 9 8 4 5 6 6 -1 -1 6 11 15 13 6 2 2 4 4 7 12 11 6 3 3 4 4 4 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 6 6 6 7 7 7 7 6 6 6 5 5 5 4 3 3 3 2 2 2 2 3 4 5 6 8 10 10 12 13 13 14 14 13 12 11 10 8 6 6 6 6 7 7 6 6 7 8 10 9 7 6 4 2 1 -0 -0 0 1 1 2 3 3 3 4 4 5 5 6 6 6 5 4 3 3 4 5 6 6 4 1 -3 -6 -4 2 6 6 6 7 8 10 11 12 12 10 7 3 2 4 5 6 6 6 5 5 6 7 7 6 5 4 3 3 6 8 11 11 7 5 5 6 5 5 4 5 6 5 3 3 4 4 5 7 8 8 8 10 11 11 11 10 8 7 7 7 7 7 6 6 6 6 7 6 6 7 9 8 6 5 4 4 5 6 6 5 5 6 6 6 6 6 6 6 6 5 4 4 5 4 4 3 3 4 4 4 5 6 4 4 5 4 4 4 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 3 3 2 0 1 2 3 3 3 3 2 2 3 5 6 6 5 4 3 2 2 2 1 1 1 0 0 1 2 4 7 10 10 8 6 4 3 3 3 2 1 1 1 1 1 2 2 1 2 2 2 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 6 6 7 7 7 8 9 9 9 9 9 10 10 10 10 10 12 12 11 9 9 8 8 7 7 7 8 9 10 8 7 7 7 7 6 5 4 3 3 3 4 7 9 9 8 5 -1 1 7 8 6 5 6 6 4 4 5 9 10 6 3 2 5 10 12 10 8 7 6 2 2 4 3 2 3 6 6 5 5 2 -1 3 6 5 5 3 4 6 7 7 2 1 6 12 15 12 6 2 3 4 6 9 11 9 5 4 3 4 5 5 5 4 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 3 3 2 2 1 2 2 2 3 3 3 4 5 6 7 8 9 10 9 8 8 9 9 9 9 8 8 10 11 10 8 8 10 13 13 10 7 6 5 4 2 1 1 1 1 2 3 3 3 2 3 3 3 4 5 5 6 5 4 4 4 5 6 7 6 4 1 -5 -8 -4 3 7 7 7 8 8 10 11 12 12 10 7 4 2 2 3 4 4 5 4 3 4 6 6 4 4 4 3 5 7 7 6 5 4 5 4 4 3 4 6 6 6 3 2 4 6 6 5 5 6 7 8 9 10 10 9 8 8 8 8 8 7 6 6 5 6 6 6 5 5 5 5 6 6 4 4 5 6 6 5 5 5 6 6 6 7 7 7 6 5 5 6 7 6 6 5 5 5 4 3 3 4 4 5 6 5 4 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 4 2 2 2 3 3 3 3 3 3 1 1 2 4 5 6 6 5 4 3 3 3 2 1 1 0 0 1 1 4 6 8 9 8 6 5 4 3 2 2 2 2 2 1 2 2 2 2 2 2 1 1 2 2 2 2 3 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 8 9 9 10 10 9 9 10 10 9 9 9 11 11 10 9 9 9 8 8 7 8 9 9 9 8 7 6 7 8 6 5 4 3 3 5 6 6 7 5 2 -1 -2 6 10 6 6 7 9 9 2 2 4 6 8 7 4 4 7 11 13 11 9 8 5 2 2 3 3 3 4 8 8 6 5 2 -1 2 5 4 3 3 7 9 8 3 2 3 7 13 14 10 4 3 4 5 6 9 10 7 5 4 4 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 5 6 6 6 6 6 6 6 5 5 5 4 4 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 6 8 10 11 11 11 11 10 9 7 7 8 10 11 10 6 6 7 6 5 3 2 2 2 2 3 3 3 3 2 1 1 2 0 0 3 6 6 5 5 6 6 7 9 9 8 6 2 -2 1 6 6 6 6 7 8 9 10 11 11 10 7 4 1 -1 -2 -1 1 2 1 -2 0 2 3 4 6 6 5 6 6 4 3 3 6 6 4 3 5 9 8 6 5 3 4 7 8 6 4 4 5 6 7 8 8 9 9 8 8 9 9 8 7 6 6 5 5 5 5 5 4 4 4 6 6 5 5 6 5 5 4 5 5 5 5 6 7 7 7 6 6 7 7 7 7 7 6 5 4 3 3 3 3 4 6 5 5 5 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 5 5 4 4 4 4 3 2 2 3 2 1 0 0 1 3 6 7 7 7 5 4 3 2 2 2 2 1 1 1 1 2 4 6 8 8 6 5 5 4 3 3 2 2 2 1 2 1 2 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 7 8 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 10 9 8 6 4 5 7 6 5 4 4 4 5 6 5 5 4 2 -0 1 7 8 2 4 5 11 13 3 1 2 3 5 7 7 8 9 10 13 13 11 8 5 3 2 2 3 3 4 7 8 6 5 4 2 1 3 4 5 6 9 10 10 4 1 5 9 13 13 7 4 2 4 4 7 10 9 6 4 4 4 5 5 5 5 4 4 3 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 5 6 7 8 8 7 6 6 6 7 6 6 6 6 6 6 6 6 6 5 4 3 3 2 3 3 4 4 3 2 -0 -0 -2 -5 -4 1 5 6 6 6 6 7 10 13 14 12 9 8 5 5 5 4 4 5 5 6 6 7 8 9 9 7 4 1 -4 -8 -8 -6 -6 -6 -3 -0 3 5 8 9 7 6 5 3 1 3 7 8 6 4 7 12 12 9 8 7 7 9 8 5 4 4 4 5 6 6 7 7 8 8 8 9 9 9 8 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 6 5 5 7 8 8 7 7 7 7 8 9 8 7 7 6 5 4 3 2 3 4 5 6 6 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 5 5 6 6 6 6 4 3 3 3 2 1 0 -0 -1 1 3 6 8 9 7 5 4 3 3 3 3 2 2 1 1 1 2 3 6 7 7 7 6 5 4 4 3 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 5 5 5 6 6 7 8 9 9 10 12 12 11 10 10 9 8 8 8 7 7 8 8 8 8 8 9 9 10 10 9 9 8 6 4 4 6 6 6 5 4 4 5 4 4 4 5 6 5 4 6 6 7 5 5 11 13 6 3 2 2 4 7 8 8 7 7 10 13 11 9 6 4 3 3 3 4 3 4 7 5 5 8 7 4 4 5 7 9 9 9 10 7 5 7 11 13 11 6 2 2 3 5 9 9 7 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 6 6 6 6 5 5 5 5 5 5 6 5 5 5 4 3 3 4 5 6 7 8 5 3 2 -2 -5 -4 1 4 5 5 5 6 9 12 16 15 10 8 6 4 4 3 3 2 2 2 3 3 3 4 5 6 8 6 1 -6 -11 -10 -6 -1 1 2 3 5 7 8 7 4 2 1 1 2 5 8 9 3 1 7 11 9 8 8 8 8 6 3 3 3 4 4 5 5 6 7 7 7 7 8 9 9 9 8 7 7 6 5 4 4 5 4 5 5 5 5 5 4 4 4 4 4 5 6 6 5 7 8 8 8 7 6 7 8 8 9 8 8 8 7 6 5 3 2 3 4 5 6 6 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 4 4 5 6 6 7 7 6 5 4 3 2 1 0 -1 -2 -1 0 2 6 8 8 7 6 5 4 3 3 3 3 2 2 2 2 2 3 6 7 8 7 6 6 5 4 3 2 2 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 3 4 3 4 4 4 3 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 6 6 6 7 8 9 12 13 12 11 11 10 9 8 8 7 6 6 7 7 8 8 9 10 10 11 11 10 9 8 7 6 5 6 6 6 5 5 5 5 4 3 3 5 7 8 4 5 10 12 7 7 11 9 8 7 5 3 4 5 5 2 3 4 9 13 11 8 5 4 3 3 4 4 3 5 7 5 5 9 11 8 5 5 8 10 9 8 8 8 7 8 11 12 9 5 2 3 4 7 9 9 6 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 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 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 10 11 11 9 8 6 2 -2 -2 0 2 1 3 4 6 9 11 12 9 4 3 3 2 3 2 1 1 -1 -1 -2 -1 -1 -2 0 4 6 6 5 2 1 4 5 6 5 4 4 5 5 5 4 3 2 1 0 3 7 9 5 -0 2 7 6 5 6 7 6 4 4 3 3 4 4 5 5 6 7 7 7 6 6 7 8 8 8 8 8 7 6 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 6 6 6 7 7 8 8 7 6 6 7 8 8 8 8 8 8 9 7 5 3 3 3 5 6 7 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 3 3 4 5 6 6 7 8 7 6 5 3 1 0 -1 -2 -2 -1 0 3 5 7 8 7 8 6 5 5 4 4 3 3 3 3 3 3 5 6 7 8 7 7 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 5 6 6 7 7 9 10 12 12 11 11 12 11 9 8 7 6 6 6 6 7 7 8 9 11 12 12 12 11 9 9 8 7 6 6 6 6 5 6 6 6 6 5 4 5 8 8 2 4 11 8 6 9 8 5 5 6 5 3 4 3 1 -1 1 6 9 12 11 8 5 3 3 2 3 2 4 7 7 5 3 4 8 8 5 5 7 10 9 5 6 9 7 7 10 11 8 4 3 3 5 6 8 7 5 3 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 9 10 11 11 9 5 2 -2 -3 -3 -4 -2 -1 3 6 5 6 5 3 2 2 2 3 2 1 -1 -3 -4 -4 -5 -4 -2 -1 2 4 8 10 11 10 8 7 7 6 6 6 5 5 6 6 5 4 2 1 0 5 9 9 6 5 7 7 5 5 5 4 3 4 4 4 4 4 4 5 6 7 7 7 6 5 5 6 6 7 8 8 8 8 7 6 6 6 5 5 5 6 6 5 4 4 4 3 4 4 4 5 6 6 7 7 7 7 6 6 6 6 6 6 7 8 9 9 6 5 3 3 4 5 7 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 4 3 3 3 2 3 5 5 5 6 8 8 9 8 6 4 2 1 -0 -1 -1 -1 0 2 4 6 7 8 8 7 6 6 5 4 4 4 4 3 3 4 5 6 7 7 7 7 6 5 4 3 3 3 3 3 3 3 2 3 2 2 2 3 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 7 9 11 12 12 12 12 12 10 9 8 7 6 6 6 7 7 7 9 10 13 14 14 12 11 10 9 8 7 6 6 6 6 6 5 5 5 6 6 6 7 8 6 2 3 5 6 13 10 5 2 3 4 3 4 6 3 0 -1 2 8 10 10 10 8 6 4 2 2 3 3 3 5 6 3 -1 -0 5 6 4 3 5 8 8 5 7 8 7 7 9 10 7 5 3 3 3 6 8 7 4 3 3 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 7 6 6 6 6 6 6 9 11 11 7 2 -0 -1 -1 -2 -3 -4 -2 2 3 3 3 2 2 3 3 3 2 1 -1 -1 -1 -0 0 1 3 4 4 5 6 7 8 7 6 5 6 7 7 7 7 8 9 8 7 6 5 5 1 2 5 6 6 6 7 8 7 7 6 3 3 4 4 4 5 5 5 5 6 6 6 7 6 5 5 5 5 5 5 6 8 8 9 8 8 7 7 6 5 5 7 7 6 5 4 4 4 4 4 5 5 6 6 6 7 7 6 5 5 5 5 5 6 7 9 9 8 6 4 3 3 4 6 7 6 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 4 4 3 3 3 3 4 4 4 5 6 8 10 11 11 8 5 4 2 1 -1 -1 -1 -1 0 2 4 6 7 8 7 7 7 6 5 5 5 5 5 4 5 6 6 7 7 7 7 7 6 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 2 2 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 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 8 9 10 11 13 14 12 10 8 8 7 6 6 5 5 6 7 8 9 11 14 15 14 13 11 10 9 8 8 7 6 6 6 6 5 3 3 5 6 7 8 8 5 3 4 3 10 16 12 4 -1 2 3 2 7 10 7 2 -1 0 6 10 10 8 7 6 4 1 3 5 4 2 3 4 1 -1 1 4 4 2 2 5 8 7 8 10 8 6 8 11 9 6 5 3 2 2 6 8 7 5 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 5 5 7 11 14 13 7 3 3 3 3 2 0 -3 -4 -1 1 2 2 3 3 5 4 3 4 5 5 4 5 6 5 5 5 4 4 3 3 4 5 6 5 6 9 8 9 9 10 11 11 9 7 7 8 4 1 2 3 3 5 6 7 9 9 8 5 3 3 3 4 5 5 6 6 5 4 5 5 6 5 5 5 5 5 4 4 5 7 9 9 9 9 10 9 6 5 7 7 7 6 6 5 5 5 5 5 5 6 5 5 6 6 6 5 5 5 5 5 5 6 7 9 9 7 5 3 2 4 7 8 7 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 4 4 4 4 3 4 4 4 4 6 8 11 13 12 9 7 5 4 2 1 0 -0 -1 -1 1 2 4 6 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 4 4 4 4 4 5 5 6 6 6 6 6 5 4 3 2 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 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 6 7 7 8 9 10 12 15 14 10 7 7 6 6 6 5 4 4 6 7 8 10 12 14 15 14 12 11 9 9 9 8 7 6 5 6 6 6 4 4 6 6 7 7 5 3 4 5 5 8 9 10 6 -0 2 4 3 9 13 9 5 1 -1 3 10 10 8 6 5 2 1 5 8 4 0 2 4 1 2 4 4 3 2 3 6 7 7 12 13 9 6 10 12 10 5 3 3 2 1 4 8 8 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 5 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 6 5 6 6 6 6 6 9 13 16 15 9 5 5 4 4 3 -1 -3 -3 -2 0 2 2 2 4 6 6 7 8 7 6 6 6 5 4 5 4 3 2 2 3 5 7 8 8 10 11 10 9 8 9 9 8 7 7 8 6 4 3 3 3 3 5 6 7 9 10 8 5 3 3 3 3 4 5 6 5 4 3 3 4 4 4 5 5 5 6 5 4 4 6 8 9 10 11 11 10 7 7 7 7 7 6 6 7 6 6 5 6 5 5 5 5 5 5 5 5 6 5 5 5 6 7 8 9 10 7 4 2 3 7 9 8 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 4 4 4 4 4 4 4 4 4 4 4 4 5 9 12 13 11 9 8 7 6 4 4 2 1 0 1 1 2 3 4 5 7 7 8 7 7 7 7 7 7 6 6 6 5 5 6 6 6 5 5 4 4 4 4 5 6 6 6 7 7 7 6 6 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 6 7 7 8 8 11 15 15 11 8 6 5 5 5 5 5 4 4 5 6 8 10 12 14 15 13 12 10 9 9 8 8 7 5 5 6 6 5 6 6 7 8 9 7 4 3 5 6 5 4 3 7 6 2 3 5 5 8 10 8 7 3 1 4 9 10 8 6 4 1 1 4 9 6 0 1 4 5 7 7 4 2 4 4 6 6 6 10 12 9 8 11 11 7 5 3 3 2 1 3 7 8 6 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 3 3 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 7 8 10 12 16 15 9 7 5 3 1 0 -0 -1 -1 -0 -1 -1 -1 1 2 3 3 5 7 6 6 6 5 5 6 6 4 3 3 3 4 6 8 8 9 9 7 6 6 6 5 6 6 7 6 6 5 4 3 3 3 3 4 5 7 9 8 6 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 5 7 8 7 3 4 6 8 9 10 11 10 9 8 8 7 6 6 7 8 8 7 6 5 5 6 6 6 6 5 5 5 6 6 5 5 5 6 7 9 10 9 6 4 3 6 8 9 7 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 4 4 4 4 4 4 4 4 4 4 4 4 6 10 13 11 9 7 8 8 8 7 5 3 3 3 3 2 1 2 3 4 5 7 7 7 8 8 8 8 7 7 6 5 4 4 5 5 5 5 5 5 5 4 5 6 6 7 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 5 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 7 8 8 8 11 17 20 14 8 6 5 4 4 5 4 4 4 4 5 6 8 10 12 14 13 13 11 9 8 7 8 8 6 5 4 5 6 6 6 6 6 8 9 8 5 6 7 5 4 3 3 5 5 4 7 7 4 4 4 5 6 4 2 6 11 10 7 7 4 1 0 5 7 5 1 3 7 9 11 10 5 2 3 5 5 4 3 7 10 10 12 12 9 6 5 4 3 3 2 4 8 9 6 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 5 5 4 4 5 5 5 5 4 4 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 6 6 7 7 8 8 11 14 14 12 10 7 4 2 1 1 1 0 -1 -1 -1 -1 -0 1 1 3 5 6 5 5 5 5 6 7 7 6 5 4 5 6 9 9 6 6 5 5 5 4 4 5 5 6 6 6 6 5 5 4 4 4 4 3 5 7 9 8 5 4 3 3 3 3 3 3 4 4 3 3 2 3 3 3 3 5 7 10 7 4 5 6 7 9 10 11 11 10 8 7 6 5 7 8 9 8 7 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 7 8 9 9 7 4 3 6 9 11 9 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 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 8 11 11 8 6 6 7 7 7 7 6 5 4 4 3 3 2 2 2 3 5 6 6 7 7 8 8 8 8 7 6 5 4 4 4 5 5 6 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 8 9 8 10 20 30 23 10 5 5 4 4 4 5 5 5 4 4 4 5 7 10 11 12 12 12 10 9 8 7 7 7 6 3 3 5 6 6 5 5 6 6 6 7 6 8 7 3 3 3 3 4 5 6 9 8 4 2 2 3 4 4 3 6 13 11 8 7 4 -0 0 5 6 1 0 4 8 7 9 11 6 2 2 5 7 5 4 5 8 12 14 10 8 6 5 4 4 3 2 5 11 11 7 5 4 4 4 4 5 5 5 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 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 6 6 7 7 8 8 10 11 12 12 12 11 9 7 5 3 3 3 3 2 1 2 3 4 4 5 5 5 5 5 5 6 7 8 10 8 6 6 8 10 9 6 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 7 9 8 5 4 3 3 3 3 3 4 4 4 3 3 2 2 3 3 3 4 7 8 7 6 6 6 7 9 11 11 11 10 9 7 6 7 8 9 9 7 5 4 5 6 6 6 6 6 6 5 5 5 5 5 5 6 7 8 9 8 6 4 5 8 10 11 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
nan nan nan 3 3 3 4 4 4 5 4 4 3 4 4 4 4 4 5 9 10 9 7 4 4 5 6 6 6 5 4 5 5 5 4 4 3 3 2 4 5 5 6 7 8 8 9 8 8 7 6 5 4 4 5 5 5 5 4 4 5 5 5 5 6 6 6 7 7 7 7 6 7 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 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 6 6 8 9 10 10 15 29 31 12 4 5 4 1 2 4 6 6 6 5 4 4 5 7 9 10 10 11 11 11 9 8 7 7 6 4 3 4 5 5 4 5 6 6 5 6 8 6 5 4 2 2 3 3 3 3 4 5 6 5 4 4 2 4 7 6 7 13 13 11 8 4 -1 1 5 6 -1 -2 3 6 4 5 9 6 1 4 8 9 7 6 4 6 16 18 10 6 5 4 4 5 5 4 8 14 13 8 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 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 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 8 8 8 7 8 9 11 13 13 11 11 9 8 8 7 5 4 5 5 6 7 8 8 6 7 8 7 8 8 8 11 11 7 6 7 8 7 5 5 4 4 3 3 3 4 4 5 4 5 5 5 5 5 5 5 5 4 4 3 5 7 8 7 6 5 4 3 3 3 3 4 5 4 4 3 3 2 3 3 3 4 4 6 7 7 6 6 8 9 12 12 12 11 9 7 6 7 9 9 7 5 4 5 5 6 6 6 6 7 6 6 6 5 5 4 4 5 7 8 8 6 4 4 6 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 4 3 4 4 5 4 4 3 3 3 4 5 5 5 6 9 10 9 6 5 5 5 5 5 5 4 4 5 5 5 5 5 4 3 3 3 4 5 5 6 7 8 9 9 9 8 7 6 5 5 5 5 5 4 4 4 4 4 5 6 6 6 7 6 6 6 7 6 7 6 6 6 6 6 6 5 5 4 4 3 4 4 4 4 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 8 11 12 13 19 25 15 -1 0 7 2 -2 -2 2 6 7 8 6 4 4 5 7 8 9 9 9 10 10 9 8 7 6 4 4 5 6 6 5 3 6 7 5 6 8 7 6 4 2 4 4 4 5 4 2 2 2 3 6 9 8 3 2 7 9 10 13 15 13 9 6 2 2 5 5 0 -2 1 5 4 4 7 3 2 7 10 6 6 8 4 5 18 21 13 6 1 0 3 8 11 8 9 13 13 8 6 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 5 6 6 6 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 6 6 7 7 7 8 7 6 6 7 8 9 9 10 9 8 9 12 11 9 9 7 7 9 9 11 11 10 11 11 11 10 8 8 8 7 6 6 6 6 5 4 3 3 2 3 3 3 4 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 7 6 5 3 3 3 3 4 5 5 5 5 4 3 1 2 2 3 3 4 5 6 6 6 6 8 10 12 13 13 12 10 7 7 8 7 6 5 4 5 5 6 6 6 7 7 7 7 6 6 4 4 4 5 5 6 6 6 5 3 5 5 6 7 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 3 3 3 3 4 4 4 5 5 4 4 3 3 3 4 5 5 6 7 9 10 10 8 6 6 6 5 5 4 4 5 5 5 5 6 5 5 4 3 3 3 4 5 6 6 7 8 8 9 7 6 6 5 5 5 4 4 4 3 4 4 4 5 5 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 9 12 14 16 18 16 5 -5 -1 4 -1 -5 -4 1 5 8 8 8 6 5 6 7 8 9 8 7 8 9 9 8 6 5 3 4 6 7 6 6 5 7 7 6 7 5 2 5 7 6 9 7 6 5 3 2 4 1 1 7 12 11 6 3 5 8 11 13 14 13 11 11 9 4 2 2 0 1 4 4 3 4 5 1 2 9 10 4 2 6 4 6 18 21 13 4 -4 -4 1 10 18 13 9 11 11 9 6 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 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 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 6 6 6 6 5 5 4 5 5 5 5 4 6 9 12 11 11 10 9 8 7 8 8 7 8 9 8 8 6 5 6 6 6 6 5 5 4 4 4 3 2 2 3 3 4 4 5 4 4 4 4 5 5 5 6 6 5 5 5 4 3 4 5 6 6 5 4 3 4 4 5 5 5 5 4 3 2 1 1 2 2 3 4 4 5 5 6 7 9 10 12 14 14 12 9 7 7 6 5 5 4 5 5 6 6 6 6 7 8 7 7 6 5 4 4 4 4 5 6 6 5 3 4 4 4 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 4 4 4 4 4 4 5 6 7 6 5 4 4 3 4 4 5 5 5 6 9 11 11 10 8 7 6 5 6 5 5 5 5 6 7 7 6 5 4 3 3 3 4 4 5 6 6 7 7 7 6 6 5 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 8 10 14 17 17 15 11 1 -6 -4 -2 -5 -6 -3 2 5 8 10 9 7 6 7 8 8 9 8 6 6 8 8 7 5 3 3 5 6 6 6 7 6 7 8 8 8 2 -2 4 10 12 14 9 3 2 0 4 5 2 -0 3 8 11 11 9 5 6 10 12 12 11 11 11 10 7 3 -0 -0 5 8 5 1 2 4 2 1 6 10 6 3 5 6 8 17 18 11 3 -4 -7 -1 10 21 17 12 13 10 9 6 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 5 6 6 7 7 6 5 5 5 4 4 3 3 3 3 3 3 4 5 6 8 7 8 6 4 4 3 3 4 4 4 5 5 5 5 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 3 4 4 5 5 5 6 6 6 6 5 4 3 4 4 5 6 5 5 4 4 4 5 5 5 4 4 3 1 1 1 2 2 3 3 4 4 5 6 6 8 10 12 13 13 11 8 7 6 5 5 5 5 6 6 6 6 6 7 8 8 8 7 7 5 4 4 4 5 6 6 5 4 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 5 5 5 5 6 7 8 8 7 6 5 4 4 4 4 4 5 5 6 8 11 11 9 8 6 7 7 6 5 4 4 6 7 9 8 7 5 4 4 3 3 4 4 4 5 6 6 6 5 4 4 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 5 5 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 4 5 5 6 7 6 6 6 6 7 9 12 16 21 20 14 7 -1 -7 -8 -7 -6 -4 0 5 7 8 10 11 9 8 9 9 9 9 8 7 6 6 6 6 3 2 4 5 5 4 4 5 8 8 5 3 4 3 2 4 9 13 16 12 1 -1 3 7 7 3 -1 -2 2 8 14 12 7 7 10 12 11 9 9 7 5 6 4 -1 2 9 9 6 5 2 4 5 2 4 9 11 10 13 15 11 14 19 13 3 -4 -7 0 13 21 16 12 15 12 8 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 4 4 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 6 6 5 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 4 4 3 2 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 4 4 5 5 6 7 6 5 5 5 5 4 5 4 4 4 3 3 4 4 3 3 3 4 4 5 5 6 6 6 7 6 5 4 3 3 4 4 5 5 4 4 4 4 5 5 4 3 3 2 1 1 2 2 3 3 3 3 4 4 5 6 7 9 11 12 11 10 9 7 5 4 4 5 6 5 6 6 6 6 7 7 8 8 8 7 6 5 5 6 6 5 5 4 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 5 4 5 5 6 8 8 8 7 6 5 4 4 4 4 4 4 4 5 7 8 7 7 7 7 7 7 5 4 3 5 7 8 9 9 7 5 4 3 3 3 3 3 4 4 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 6 7 7 5 5 6 6 7 9 15 21 25 21 15 10 2 -6 -10 -8 -4 0 4 8 8 8 9 11 11 10 10 10 9 9 8 7 6 6 5 3 2 2 4 5 5 4 2 1 5 8 6 -1 -1 5 7 8 8 8 14 14 3 -0 5 8 6 4 0 -2 1 8 12 11 10 11 13 12 9 6 5 3 1 3 3 0 5 9 8 11 12 5 4 4 2 4 6 11 17 23 22 14 18 27 18 3 -4 -6 3 15 18 13 12 17 14 7 6 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 4 3 3 4 3 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 3 3 4 4 6 6 7 7 6 4 3 3 3 3 4 5 5 5 6 6 5 5 4 4 4 4 5 5 5 5 6 5 5 6 5 5 5 4 3 3 3 4 5 4 4 4 4 4 3 3 4 3 3 3 4 5 5 5 4 4 4 5 5 6 7 7 7 6 5 5 5 6 5 5 5 4 4 4 3 2 2 2 4 4 4 4 5 6 7 7 7 7 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 3 3 4 4 4 5 6 6 8 10 11 11 10 8 6 4 4 5 4 5 5 5 5 6 6 7 7 8 8 8 8 7 8 7 6 6 6 4 4 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 5 5 4 4 4 5 6 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 5 4 3 3 5 6 8 9 9 8 6 4 3 2 2 2 2 3 3 3 2 3 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 3 3 3 4 4 5 4 4 4 3 3 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 6 7 7 5 5 6 7 9 13 21 26 24 17 13 9 3 -4 -8 -6 -0 4 8 9 9 8 9 11 12 12 11 11 10 9 8 8 7 6 4 2 2 4 5 5 5 6 7 5 1 2 7 4 2 5 7 10 10 6 7 10 6 5 6 5 2 2 1 2 6 11 12 12 11 12 13 13 9 5 2 1 0 -0 0 1 3 4 6 17 17 8 3 2 2 3 2 7 16 22 19 19 31 35 21 5 -4 -4 5 13 14 11 13 18 14 7 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 5 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 6 9 12 12 11 8 5 4 3 3 4 4 5 5 5 5 6 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 4 3 3 3 4 5 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 4 4 4 5 5 6 7 7 7 7 6 6 6 6 6 5 5 4 3 3 3 2 2 2 1 3 4 4 5 6 6 7 7 7 7 7 6 4 4 4 4 3 4 4 4 4 5 4 4 4 3 3 2 2 2 2 3 3 3 4 4 4 4 5 5 6 8 10 11 12 11 9 6 4 4 4 5 5 5 5 5 4 5 7 8 9 9 9 8 9 9 8 8 7 5 5 5 5 5 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 5 5 5 5 5 4 3 3 3 3 4 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 2 2 3 5 6 5 3 2 2 2 4 6 7 8 8 8 7 5 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 1 1 1 1 1 2 2 2 2 3 3 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 6 5 5 7 9 14 22 29 25 15 9 9 5 2 -5 -6 -2 4 7 8 9 9 9 9 10 11 12 12 12 11 9 8 8 8 7 3 1 3 5 4 3 4 7 11 11 7 3 4 5 4 5 6 9 11 8 4 4 8 10 8 2 -0 1 2 4 9 14 14 11 9 9 12 14 11 5 2 1 2 1 1 2 2 -1 3 14 16 8 3 1 2 1 -2 1 8 12 13 24 39 36 19 5 -2 -1 7 12 12 9 11 18 15 7 6 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 6 9 12 13 13 10 7 5 4 4 4 4 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 4 5 4 3 3 4 4 5 6 6 6 6 7 6 6 6 6 6 5 5 4 3 2 2 4 6 4 -1 -0 4 4 5 6 6 7 7 8 8 8 7 6 6 5 4 3 3 4 4 5 6 6 4 3 4 4 3 3 3 3 3 3 3 4 3 3 4 4 5 6 6 7 9 12 14 13 10 6 4 3 4 5 5 5 4 4 4 5 7 8 9 9 9 9 10 10 9 8 8 7 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 3 3 3 2 2 3 4 5 5 6 6 6 6 6 6 6 5 5 6 5 4 3 2 2 3 5 4 3 2 1 1 3 3 4 6 7 7 8 7 6 5 4 3 2 1 1 2 2 3 4 4 4 4 5 4 3 3 2 1 1 1 1 2 2 2 2 2 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 6 5 6 9 13 21 29 28 17 6 3 4 3 -2 -5 -3 3 6 7 8 8 8 9 9 9 10 12 13 13 12 10 8 8 8 6 4 3 5 5 3 3 4 6 7 7 9 6 1 2 5 4 6 9 13 12 7 6 8 10 8 -0 -1 1 3 6 11 14 14 9 2 3 14 20 15 8 5 4 5 3 2 6 5 -2 -3 6 9 7 3 -0 -1 -1 -5 -7 -1 5 11 27 40 32 15 4 -1 3 9 10 10 9 10 16 15 7 6 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 8 7 6 5 4 4 4 5 4 5 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 4 5 5 5 3 3 4 5 5 5 5 6 6 6 7 6 6 7 7 6 5 4 3 3 3 6 10 6 1 1 4 4 5 5 6 6 6 7 8 8 8 8 8 7 5 3 3 4 5 5 6 7 5 2 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 5 5 5 7 9 12 14 13 10 6 4 3 4 4 4 4 3 3 3 4 4 5 6 8 8 9 10 9 9 9 9 8 6 6 6 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 2 3 3 3 3 3 3 3 3 2 2 2 3 5 5 6 7 7 7 7 6 6 6 6 6 6 5 3 2 2 3 4 4 3 3 2 2 2 3 3 4 5 6 7 7 7 6 5 4 3 2 2 3 4 4 4 4 4 5 5 5 4 4 3 2 1 1 1 2 1 1 2 3 3 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 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 5 5 6 7 7 6 6 9 13 18 23 25 18 9 3 0 -1 -1 -5 -2 2 5 7 6 6 7 8 8 9 9 10 11 13 15 13 10 8 7 7 6 5 5 5 4 3 6 6 3 4 5 6 3 -2 -1 3 5 7 10 13 14 13 11 9 6 2 -4 -3 3 6 9 11 15 17 8 -5 -2 16 25 19 11 9 9 8 6 5 9 8 -0 -3 1 5 7 6 -1 -7 -0 1 -6 -4 3 11 27 35 27 13 5 2 4 7 8 8 9 12 16 13 7 6 5 4 5 4 4 4 5 5 6 5 5 4 4 4 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 3 3 4 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 2 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 5 5 5 6 6 6 5 3 3 3 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 4 3 5 9 13 8 3 3 4 4 5 5 5 5 5 6 7 7 8 9 9 8 9 5 2 4 5 5 6 8 6 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 7 9 12 14 13 10 6 5 3 3 3 3 3 2 2 2 2 2 3 4 5 7 8 8 9 10 11 9 8 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 3 3 4 4 4 3 2 2 3 4 4 6 7 7 7 7 7 6 6 6 7 7 5 4 3 2 4 4 4 3 3 2 2 2 2 2 3 4 6 7 7 8 8 8 7 7 7 6 5 4 4 4 3 4 4 5 6 6 6 4 3 2 2 2 1 1 1 1 2 3 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 7 9 7 6 8 12 15 17 17 15 9 4 3 1 -3 -2 -2 1 4 5 5 5 5 6 7 9 9 10 10 11 14 16 15 12 8 6 5 5 5 6 4 3 4 7 8 4 4 5 5 2 -1 2 4 5 8 11 12 12 12 11 7 2 -4 -6 -2 5 9 11 12 15 20 12 -3 -4 14 26 21 12 9 9 9 4 2 7 9 4 -1 1 7 11 10 1 -8 -1 7 5 5 8 17 27 28 21 12 6 3 3 4 6 7 9 12 16 12 7 6 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 3 3 3 4 5 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 4 3 2 2 2 2 2 2 3 4 5 5 5 4 3 3 3 3 4 4 3 4 4 3 3 4 4 5 4 3 2 2 3 3 4 5 6 7 7 6 4 3 2 2 3 4 5 5 5 5 5 5 6 6 6 7 7 7 6 5 5 6 9 12 9 4 3 4 4 4 4 4 4 4 4 5 5 6 8 8 8 11 9 4 5 5 5 5 6 6 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 5 7 10 13 14 14 11 9 6 4 3 3 2 2 2 1 1 0 1 2 3 4 6 7 7 9 10 11 10 9 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 3 3 4 5 6 5 3 2 2 2 3 4 5 6 7 7 7 7 6 7 7 8 8 6 5 3 3 3 3 2 2 2 3 3 3 2 3 3 4 5 7 8 8 9 10 12 11 8 5 3 3 3 2 2 2 4 5 6 7 7 6 4 3 2 2 0 0 1 1 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 10 12 8 8 10 12 12 12 12 8 4 4 5 3 -0 1 3 3 4 3 3 4 5 6 8 9 10 10 10 12 15 18 17 12 7 5 4 4 4 5 4 3 4 6 7 7 5 4 3 4 2 3 5 7 8 10 9 6 5 4 4 1 -4 -5 1 6 10 13 13 14 18 17 6 1 13 23 19 10 5 5 7 4 -1 1 8 8 2 2 8 12 12 5 -3 -3 6 15 19 16 20 25 22 14 9 4 1 1 4 7 8 8 12 17 12 6 6 6 5 5 5 4 4 5 5 5 5 5 5 4 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 3 4 4 4 5 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 4 4 4 5 4 4 4 4 3 3 4 4 4 5 5 5 5 5 4 4 4 3 2 2 2 2 2 3 3 3 4 5 7 7 7 6 4 3 3 4 5 4 4 3 3 3 3 4 4 4 3 2 2 2 3 4 4 5 6 7 5 4 2 1 -1 -1 2 5 6 5 5 5 5 5 5 6 7 7 7 6 6 6 7 7 7 7 6 4 4 4 4 4 4 3 3 3 3 3 4 5 6 7 9 9 7 6 6 6 5 5 4 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 7 11 14 15 14 13 10 8 7 5 4 2 2 2 1 1 1 1 2 2 4 5 6 6 8 10 11 10 9 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 2 3 3 3 2 3 5 6 7 6 4 1 1 1 3 4 5 6 7 8 8 7 7 7 8 8 8 6 5 3 2 1 1 1 2 2 3 3 3 4 4 4 5 7 8 7 7 8 9 8 5 3 2 2 1 1 1 1 2 3 5 6 8 8 7 5 2 1 0 -0 0 1 1 1 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 7 11 13 10 8 10 10 9 10 10 10 10 8 6 3 3 5 5 4 3 3 3 4 5 7 8 9 10 10 10 12 16 20 18 10 5 3 3 3 3 5 7 5 3 4 7 8 4 3 6 7 3 4 7 8 7 6 4 0 -2 -1 1 4 3 -0 1 5 9 13 13 12 15 20 16 12 17 20 14 6 2 4 7 5 0 3 8 8 5 4 6 8 9 8 2 -4 2 18 25 20 19 16 9 5 5 2 -0 3 6 7 9 10 12 15 11 6 6 5 5 5 5 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 3 4 3 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 4 4 4 4 4 5 6 8 8 7 6 5 4 4 5 5 4 3 3 3 4 4 4 4 3 2 2 2 4 4 4 4 4 4 3 2 1 -1 -2 -2 1 4 6 5 5 5 5 6 6 5 5 6 6 7 6 5 5 5 4 3 4 6 5 4 4 4 4 4 3 3 3 3 3 3 4 5 6 7 7 8 8 7 6 5 5 4 4 3 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 3 3 3 3 5 8 11 12 13 14 14 13 11 10 7 5 3 3 2 2 2 2 2 2 3 3 5 4 6 8 10 10 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 3 3 3 3 2 2 3 4 6 7 6 4 2 2 2 3 3 5 6 7 8 8 7 7 7 8 8 8 7 5 3 2 1 1 1 1 2 3 4 4 4 4 5 7 8 7 6 5 4 4 3 2 2 1 1 0 1 1 2 3 4 5 7 9 9 7 4 1 -0 -0 0 1 0 0 1 1 2 3 3 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 8 12 13 10 8 8 8 9 11 11 15 19 13 5 2 4 5 4 4 3 3 3 4 5 7 9 10 10 10 10 11 16 20 17 9 5 4 4 4 4 6 8 5 3 5 8 9 4 5 8 7 4 6 10 7 2 1 -0 -2 -1 -1 1 5 9 5 1 1 5 9 12 13 14 20 25 23 21 14 5 2 5 8 7 3 4 10 10 9 10 8 4 4 7 7 4 -5 -6 10 25 22 14 4 -5 -2 2 1 3 9 10 8 9 10 11 14 11 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 4 4 5 5 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 4 5 4 4 4 3 3 3 3 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 6 7 8 7 7 7 6 5 6 5 5 4 3 4 4 5 4 3 3 3 3 3 4 5 5 4 4 2 1 0 -1 -1 -1 1 3 5 6 5 5 5 6 6 6 5 4 5 5 6 5 4 3 4 4 3 4 6 5 5 6 5 4 3 3 2 3 3 2 3 3 4 4 6 6 7 7 7 7 7 6 6 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 4 5 7 8 9 11 13 15 15 15 13 10 6 3 2 2 2 2 3 3 2 3 4 4 4 6 8 9 9 10 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 2 3 3 3 3 3 3 3 4 6 8 8 5 3 2 3 3 4 4 5 6 7 7 7 6 6 7 8 8 7 6 5 4 2 1 1 2 4 4 4 4 4 5 7 9 9 8 6 4 3 2 2 2 1 1 1 2 2 3 3 3 4 6 7 9 10 8 4 1 0 1 1 0 -0 -0 0 1 1 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 7 9 11 13 12 9 7 7 8 10 11 11 15 18 11 2 1 3 3 4 4 3 3 3 5 6 8 10 11 11 10 10 12 17 19 16 10 8 6 5 3 3 5 6 6 6 7 8 9 8 5 4 2 5 11 11 3 -2 -2 -2 1 6 5 1 3 7 6 1 -2 -0 5 12 16 17 20 24 24 18 7 -2 1 11 12 6 1 9 16 11 8 12 10 6 8 8 6 5 0 -5 9 27 22 9 -4 -10 -1 5 5 10 14 12 9 10 9 10 14 13 7 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 5 5 5 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 6 5 5 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 4 3 2 1 -0 0 2 4 6 8 6 4 5 5 6 7 7 6 6 5 5 6 5 4 4 4 6 6 6 6 7 7 6 6 6 4 3 2 2 2 2 2 3 3 4 4 5 6 7 8 9 8 8 7 6 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 5 5 6 6 7 10 14 16 19 20 17 11 6 4 3 3 3 3 3 3 3 3 4 4 5 6 7 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
nan 2 3 3 3 4 5 4 4 3 3 2 4 8 11 10 6 3 3 3 3 3 4 4 4 5 5 5 5 5 5 7 8 8 8 6 4 2 2 3 4 4 5 5 5 5 6 8 9 9 7 5 4 3 4 3 3 2 3 3 3 3 4 4 4 4 5 8 11 11 8 4 1 1 1 1 -0 -1 -1 -0 0 0 2 2 3 3 3 4 4 4 5 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 9 13 13 11 9 7 7 7 8 9 10 9 12 11 6 1 1 2 3 3 3 3 3 4 6 8 9 10 10 11 12 12 14 17 17 14 10 8 6 5 4 4 4 3 4 6 8 7 6 4 1 -2 -0 5 12 11 1 -1 0 1 7 13 8 2 2 5 5 -0 -4 -4 4 13 18 22 23 19 15 10 2 -2 6 15 13 4 3 10 13 8 5 8 8 10 12 8 3 9 16 9 19 29 20 4 -7 -6 7 12 13 17 17 13 10 10 9 10 14 14 7 5 6 6 6 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 5 6 5 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 6 6 6 6 6 6 6 5 6 7 7 7 7 7 7 7 7 6 5 5 5 4 4 4 4 4 3 3 3 4 5 6 6 5 5 4 4 4 3 2 2 3 7 11 10 5 3 4 5 5 6 7 8 8 8 9 8 7 6 5 4 6 8 8 8 8 8 8 8 8 6 4 2 2 1 2 2 3 3 3 3 4 4 6 7 8 9 9 8 7 6 6 6 7 7 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 4 5 5 5 6 8 11 14 18 22 22 17 12 8 5 4 2 3 3 4 4 4 4 4 6 6 7 7 7 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 6 6 5 5 5 4 2 3 6 11 11 8 4 4 3 3 2 2 3 3 3 4 4 4 4 4 4 6 7 7 6 4 4 4 4 5 5 5 6 6 5 5 5 6 7 7 7 7 7 7 7 6 5 5 4 4 3 4 4 4 4 4 5 9 12 11 8 4 2 2 2 0 -1 -1 -1 -0 -0 0 1 2 2 3 3 4 4 5 5 5 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 10 13 12 8 6 6 7 8 8 8 8 9 11 9 3 1 2 2 3 3 3 3 3 6 8 10 11 11 10 10 12 15 17 16 14 11 8 6 4 4 5 6 5 5 2 2 5 6 4 2 -1 -1 2 4 10 8 1 3 4 5 13 16 8 2 2 4 5 3 -2 -3 4 11 14 23 27 18 11 7 2 5 15 17 12 3 -0 1 3 3 2 3 6 11 13 7 -1 10 25 17 22 28 17 2 -8 1 18 21 19 19 17 13 10 10 9 9 13 13 8 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 6 5 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 3 4 4 4 4 5 7 7 7 7 6 5 5 5 4 3 3 4 9 12 8 4 4 4 5 5 6 6 7 8 10 11 11 10 10 6 2 3 7 8 9 9 8 8 9 10 9 7 4 2 1 2 2 3 3 3 4 4 4 5 6 7 8 9 8 7 7 7 7 7 6 7 7 7 6 6 6 6 6 6 5 4 4 3 3 3 3 3 4 5 4 5 7 10 12 14 17 19 20 17 13 9 5 3 2 3 5 5 4 5 5 6 6 6 6 6 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 10 9 8 7 8 8 7 4 2 3 7 10 9 6 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 5 5 4 4 5 6 6 6 6 6 6 6 5 4 3 3 4 6 8 9 9 9 8 6 5 4 3 3 3 4 4 4 4 4 6 10 13 12 7 4 2 2 1 0 -0 -1 -0 0 0 0 0 1 2 2 3 4 4 5 5 4 4 4 4 5 5 5 6 6 6 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 11 12 7 6 7 8 8 8 7 7 11 13 9 3 1 2 3 3 3 3 3 4 7 9 11 12 12 10 9 13 16 17 13 9 7 6 3 4 3 2 3 7 8 4 2 3 5 4 3 2 2 1 2 4 2 1 5 5 7 15 16 6 1 0 1 6 7 1 -2 1 4 7 18 26 21 15 10 9 15 20 15 6 -3 -11 -7 2 6 4 1 3 9 10 5 2 7 13 11 21 26 15 1 -6 7 25 25 20 17 14 10 9 9 9 8 11 14 9 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 5 5 4 3 2 2 3 5 6 6 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 4 3 4 5 5 7 8 9 9 9 7 6 7 5 3 2 1 3 9 11 8 5 5 5 5 6 6 6 6 7 8 9 10 12 14 9 2 2 4 6 7 8 8 9 9 10 11 10 8 4 2 1 2 2 3 3 4 4 4 4 5 6 7 8 8 7 7 6 7 7 6 6 7 7 6 6 6 6 6 6 6 5 5 4 4 3 3 3 4 4 3 4 6 8 10 12 14 14 15 18 17 14 9 5 3 4 6 6 5 5 5 5 6 6 6 6 6 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 11 11 9 8 8 8 9 9 7 3 2 4 8 9 6 4 3 4 4 3 2 2 2 2 2 2 2 3 3 2 3 3 4 4 4 5 6 5 5 6 6 6 6 6 5 3 2 2 3 5 7 8 9 8 5 3 2 2 3 3 3 4 4 4 4 5 7 11 13 10 6 3 2 1 1 1 1 1 1 -0 -0 -0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 7 6 5 9 11 9 8 8 9 9 9 7 9 13 14 7 2 2 2 3 3 3 4 4 5 7 9 10 12 12 10 10 14 18 16 11 6 5 5 4 5 5 -2 -2 4 6 5 5 4 4 3 3 3 3 2 4 6 4 1 2 5 8 13 10 1 3 5 4 7 7 2 -3 -4 -2 3 13 24 28 24 14 13 16 14 5 -1 -5 -7 -1 6 9 3 -1 3 7 4 3 6 6 -2 4 22 27 15 1 -3 9 21 22 17 14 10 8 8 9 8 8 12 15 10 6 6 6 6 6 5 5 5 5 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 3 2 3 3 4 4 4 4 4 4 4 3 2 1 3 5 7 7 5 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 5 5 5 4 4 4 4 6 8 9 10 10 9 9 9 8 6 4 3 2 1 2 8 11 8 6 5 5 5 6 6 7 7 7 6 7 8 9 12 9 4 4 4 5 6 8 9 9 9 10 12 13 11 7 4 2 1 2 2 3 4 4 4 4 5 5 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 4 4 3 3 4 3 3 2 3 6 8 10 12 13 13 15 16 16 12 9 7 6 6 7 6 5 4 4 5 7 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 7 7 7 7 8 9 9 6 3 3 6 8 7 5 3 3 3 4 4 4 4 4 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 5 4 3 2 3 4 5 6 6 4 1 1 2 2 3 4 4 4 4 5 6 6 8 11 12 10 6 3 2 2 2 2 2 1 0 -0 -0 0 0 1 2 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 5 4 5 12 13 9 10 10 10 8 6 9 13 10 4 1 2 3 3 3 4 4 5 5 7 8 10 12 12 10 13 18 20 18 12 6 5 4 4 4 3 -1 2 3 3 5 5 2 0 1 2 4 5 6 12 21 19 7 1 4 6 7 2 -1 6 11 9 11 12 5 -2 -5 1 9 16 26 31 24 9 4 7 5 -1 -2 -6 -8 3 18 16 1 -1 6 6 1 1 3 2 -3 6 26 32 16 -0 0 10 17 18 15 11 7 7 8 7 6 9 13 13 7 5 6 6 6 6 6 5 5 4 4 5 5 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 2 3 3 3 3 4 5 5 5 4 3 2 2 5 7 7 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 7 8 8 7 7 7 6 6 6 5 5 5 4 5 5 7 9 10 11 12 11 9 8 9 9 6 3 4 3 3 4 8 10 7 5 4 4 5 6 6 6 7 7 6 6 6 6 7 7 4 5 5 5 6 8 10 12 10 10 12 14 14 10 6 4 2 2 2 3 3 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 6 4 4 4 3 2 2 2 3 6 8 11 12 13 14 15 15 13 10 8 7 7 7 6 4 3 3 4 6 8 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 5 5 5 5 5 5 6 6 7 7 8 8 6 5 6 7 7 6 4 3 3 4 4 4 5 5 5 5 5 4 3 3 3 3 4 3 3 3 3 3 4 4 4 5 6 6 7 6 6 5 4 3 4 4 5 4 3 2 2 2 2 3 3 4 4 4 5 6 6 7 9 13 14 10 6 3 2 2 2 2 1 1 0 -1 -0 0 1 1 2 3 3 4 4 3 3 3 2 2 2 1 2 3 3 3 3 4 4 4 4 4 5 5 6 6 5 5 7 7 6 5 4 4 6 14 16 11 11 11 10 7 6 8 9 5 1 1 2 3 3 4 4 4 5 5 6 8 11 12 11 11 15 19 21 18 13 8 5 4 2 -1 -2 -0 -1 0 3 6 3 1 0 0 2 4 7 9 11 18 20 14 7 5 4 2 -0 2 7 9 6 13 19 10 0 1 8 16 22 24 19 8 -4 -6 4 7 2 1 -11 -24 -3 28 22 2 -1 5 -1 -7 -0 2 1 2 13 30 33 15 -0 2 12 16 16 13 8 7 7 8 6 5 9 12 9 6 6 8 7 6 7 6 5 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 5 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 2 2 2 3 2 2 3 3 4 6 7 7 6 5 4 5 7 7 5 4 4 4 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 7 7 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 5 5 5 6 6 8 10 11 12 12 12 11 9 8 9 9 6 4 5 5 5 6 9 9 6 4 4 4 5 6 6 6 6 7 7 6 5 5 5 5 5 4 5 5 6 8 11 13 13 12 11 13 13 12 9 6 4 3 3 2 3 4 5 5 5 5 5 5 5 6 5 4 4 4 4 4 3 4 4 4 4 4 5 5 6 6 7 8 8 7 6 5 4 3 2 2 2 3 4 7 9 11 12 13 14 14 14 12 9 8 7 6 6 5 3 3 4 6 7 7 7 7 6 7 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 5 6 6 6 7 7 8 8 7 7 7 8 7 7 6 3 3 3 4 4 5 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 6 6 7 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 6 6 8 11 14 15 10 5 3 2 2 2 2 1 1 -0 -1 0 0 1 1 2 3 3 4 3 3 2 2 2 2 1 1 2 2 2 3 3 3 3 3 4 4 5 5 5 6 6 7 7 6 5 4 4 8 16 17 13 13 13 10 8 9 9 6 3 1 1 2 3 3 4 4 5 5 6 7 11 13 10 10 12 15 19 20 17 12 7 4 3 1 -2 0 2 -4 -2 6 6 1 1 2 3 3 4 7 8 4 2 7 11 10 5 2 1 2 5 6 4 4 8 11 6 3 7 13 19 21 17 8 -2 -9 -6 10 12 4 0 -12 -24 -5 21 16 -2 -5 -2 -5 -6 -1 4 3 7 19 31 29 13 1 5 14 15 13 10 8 7 7 7 5 5 8 10 9 7 7 10 9 6 7 6 6 5 5 5 5 5 4 4 4 5 5 4 5 5 5 4 4 4 4 4 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 3 2 2 2 3 3 3 2 2 3 4 5 7 9 10 10 9 9 7 5 4 4 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 9 9 8 7 6 6 5 6 6 6 6 7 8 10 11 12 13 12 11 9 8 7 8 9 8 5 4 5 6 6 6 6 5 4 3 3 4 5 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 6 7 9 12 14 13 11 11 12 12 10 7 5 3 4 5 5 4 6 8 9 7 6 5 4 4 4 4 3 3 3 2 2 2 2 3 4 4 4 4 5 6 7 7 8 8 7 6 5 4 3 2 2 2 3 4 6 8 10 11 13 14 15 13 11 8 7 6 5 5 4 4 4 6 7 8 6 6 5 5 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 5 6 7 6 6 6 7 8 8 7 7 8 9 10 10 7 5 4 3 3 4 5 5 6 6 6 5 4 5 5 5 4 4 4 4 4 4 4 3 4 5 5 6 6 6 5 4 4 4 4 5 5 5 4 3 3 3 4 3 4 4 4 5 6 7 7 8 12 16 15 10 6 4 3 3 2 2 2 1 1 1 1 1 1 1 3 3 3 3 3 2 2 3 2 2 2 2 2 2 3 3 4 3 3 4 4 4 5 5 5 6 6 6 5 5 5 6 10 18 18 14 13 13 11 9 10 10 5 2 1 2 3 4 4 4 5 5 5 6 9 14 14 9 10 13 15 18 18 14 10 6 2 -0 2 4 7 5 0 3 8 3 -1 -1 1 3 5 8 12 12 6 3 5 8 7 3 2 3 3 4 4 2 2 0 -2 1 7 11 15 20 20 14 6 -2 -8 0 17 16 3 -1 -5 -8 -3 11 9 -3 -5 -3 -0 2 5 8 7 12 22 27 22 10 3 7 13 13 11 9 8 8 8 5 3 5 8 9 8 8 8 11 10 6 7 7 6 6 5 5 5 5 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 5 4 3 3 2 2 3 3 3 2 2 3 3 4 6 8 11 12 12 11 8 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 8 7 6 6 6 6 6 7 8 10 11 13 13 13 12 11 9 7 6 5 6 6 5 5 5 5 5 6 6 2 -3 -0 3 3 4 5 6 5 5 6 6 6 6 6 5 5 5 5 5 4 4 6 6 7 9 12 13 12 11 11 12 11 7 5 5 7 9 8 7 9 13 15 12 8 4 3 3 4 3 2 2 3 3 2 1 1 2 4 4 4 4 4 5 6 7 7 7 7 7 6 5 4 3 3 2 2 2 4 5 7 8 11 14 16 16 14 10 7 5 4 4 5 4 4 6 8 9 7 6 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 5 5 7 7 6 6 6 6 6 7 7 7 8 10 12 13 13 11 9 7 5 3 4 4 4 5 5 5 5 5 6 5 5 5 5 6 6 5 4 3 3 4 4 4 5 5 5 4 3 3 4 5 6 6 4 3 3 4 4 3 3 4 4 5 5 6 6 6 8 12 16 14 11 8 5 3 2 2 2 2 2 2 2 2 1 1 2 3 3 3 3 3 3 3 2 3 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 5 6 9 14 21 19 13 10 11 11 7 5 3 0 1 2 3 3 4 4 5 5 5 6 7 10 13 11 9 9 12 16 17 15 11 7 4 1 0 4 7 6 5 2 3 4 1 -1 -1 1 4 6 13 20 16 12 15 12 6 2 2 5 6 4 2 1 -2 -2 -0 1 4 8 10 16 21 21 16 9 -0 -7 2 18 16 2 -3 3 6 4 10 10 4 3 3 3 5 9 11 12 14 17 19 15 8 4 9 12 12 10 8 8 9 8 4 2 6 8 7 7 9 10 12 10 6 6 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 2 2 2 3 4 3 3 2 2 2 3 3 5 8 10 11 10 7 5 4 4 5 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 6 6 7 7 7 8 9 9 9 9 9 8 8 7 7 6 7 7 7 8 9 11 13 14 14 13 12 10 8 7 5 3 1 2 3 4 4 5 5 5 5 5 2 -2 1 3 4 5 6 6 6 5 5 6 6 6 6 5 5 4 4 4 3 4 6 7 5 5 9 11 12 11 11 11 10 8 7 8 11 11 9 8 10 15 19 18 12 7 3 3 4 4 3 3 4 5 4 3 2 3 4 4 5 5 5 5 5 5 6 6 6 7 7 7 6 5 3 3 2 2 3 4 4 5 8 11 15 18 17 13 9 6 4 4 4 3 3 4 7 10 10 7 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 7 8 10 9 5 4 5 5 5 5 7 8 8 9 11 13 16 17 16 15 11 6 4 3 3 3 3 5 5 5 5 6 6 6 6 6 7 7 6 4 3 3 3 3 3 3 3 3 2 3 3 5 6 5 4 4 3 4 4 4 3 4 4 5 5 6 6 6 6 7 12 14 14 11 8 6 4 4 3 3 4 5 4 2 1 1 2 3 3 3 3 2 2 2 2 2 2 3 2 2 2 3 4 5 5 4 4 5 5 5 5 6 6 5 5 6 10 15 22 25 19 10 7 7 7 2 -1 -2 -2 1 3 3 3 3 3 5 6 6 7 8 11 11 9 8 8 12 15 14 11 7 2 1 2 3 2 3 5 7 3 1 2 4 3 1 3 4 8 14 18 12 13 15 9 3 1 2 6 7 4 -0 -3 -5 -3 3 6 8 8 10 17 23 23 19 12 2 -5 -0 11 13 3 -1 6 11 8 8 10 8 7 5 6 7 8 10 12 9 8 12 13 7 6 10 13 13 11 9 8 9 7 3 3 7 8 6 6 8 10 13 11 7 6 7 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 4 3 4 3 4 5 4 4 4 4 4 3 2 2 3 3 4 4 3 3 3 2 2 1 2 4 6 7 8 7 6 5 4 4 5 6 6 7 7 6 7 7 7 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 6 6 7 8 9 9 9 9 9 8 8 8 7 7 7 8 9 9 10 11 13 14 15 14 13 11 10 8 7 6 4 1 1 1 3 4 5 5 5 5 5 5 3 -1 1 4 5 5 6 7 6 5 5 6 6 6 6 5 4 4 4 4 3 3 6 8 5 3 7 10 11 12 11 11 9 9 10 12 13 11 8 7 8 13 18 19 15 9 5 4 5 5 5 5 6 6 7 7 5 4 5 5 5 5 5 5 4 4 4 4 5 6 7 8 7 6 5 4 3 2 2 3 3 4 5 7 10 14 16 14 12 9 8 7 6 3 2 2 5 8 10 10 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 7 10 12 9 4 1 3 4 4 5 6 8 9 9 9 10 12 15 18 20 19 15 10 7 5 3 3 3 4 4 4 5 5 5 6 7 7 8 7 6 5 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 4 4 4 4 5 5 6 6 6 5 4 6 10 12 11 10 9 8 7 6 5 6 7 6 3 1 0 2 3 4 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 6 6 6 6 6 5 4 6 11 18 26 32 27 15 7 4 3 -1 -5 -4 -1 0 2 3 3 3 2 3 5 6 7 7 8 10 10 8 7 8 11 12 10 7 4 -3 -1 4 4 2 6 10 9 3 2 6 6 4 3 4 5 7 10 5 4 7 5 3 3 3 3 3 3 2 -0 -2 -2 3 7 9 11 8 9 16 22 20 16 10 2 -4 -3 6 10 8 5 9 9 3 -2 2 6 6 7 9 9 10 10 9 5 6 15 17 8 7 11 13 13 11 9 8 7 5 4 5 7 7 5 5 6 11 15 13 7 5 7 7 8 7 6 6 6 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 2 3 3 4 4 4 4 4 3 2 1 2 3 4 5 5 5 6 5 4 4 5 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 8 9 10 9 9 9 8 8 8 7 7 8 9 10 12 13 13 14 16 16 14 13 10 9 8 8 8 8 5 3 3 4 4 5 5 5 5 4 4 5 4 -2 -3 4 5 6 6 6 6 6 5 6 6 6 6 6 5 5 5 4 3 2 4 7 6 3 5 8 10 12 11 10 9 8 9 10 10 9 7 6 7 10 13 15 14 10 8 6 6 7 7 6 6 7 7 8 8 6 6 6 6 5 5 5 5 4 3 3 4 5 6 7 7 7 7 6 4 3 2 2 3 3 3 4 6 8 10 12 13 12 12 12 11 8 5 3 3 6 10 11 9 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 9 12 9 4 2 3 4 4 4 5 6 7 8 8 8 8 9 12 16 18 19 16 13 10 7 4 3 4 4 3 3 4 4 5 6 7 8 8 7 6 5 3 3 3 4 4 4 4 4 3 3 3 4 5 4 4 4 3 4 4 4 4 4 5 6 6 6 5 4 3 5 8 9 10 10 11 11 9 7 8 8 7 4 1 0 2 4 5 4 3 2 2 2 2 1 2 2 2 2 2 3 3 4 4 5 6 7 7 7 6 4 4 5 10 19 28 34 34 21 8 4 2 -1 -5 -9 -5 0 2 2 2 3 2 3 4 6 7 8 8 8 8 9 10 10 11 11 10 7 6 4 -2 1 7 5 5 10 12 7 4 7 10 6 3 3 5 6 6 4 1 8 9 3 4 5 3 1 -1 -0 2 4 3 4 8 9 9 10 9 8 14 16 13 11 8 4 -2 -5 1 9 11 10 11 5 -3 -8 -1 7 9 8 8 8 8 9 8 7 13 23 20 9 8 12 13 12 11 9 8 7 4 5 6 6 6 5 5 8 13 16 11 5 4 7 8 7 7 6 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 3 2 2 3 3 4 5 5 5 4 2 1 1 2 4 4 4 5 5 5 5 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 10 11 13 15 16 16 16 16 14 12 9 8 7 7 8 9 9 7 5 5 5 5 5 5 5 5 4 4 4 4 2 0 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 3 3 3 5 4 2 4 6 9 10 10 9 8 7 7 7 7 7 7 7 7 8 10 12 12 11 9 8 8 8 7 7 6 6 6 7 8 7 7 7 6 5 5 5 4 4 4 3 3 3 4 6 7 8 8 7 6 5 3 2 2 3 3 3 4 5 6 9 10 12 13 15 17 16 13 8 6 6 9 11 10 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 5 7 10 10 7 6 4 3 3 3 3 3 5 6 6 6 6 6 6 8 11 14 16 15 14 11 8 6 5 4 3 3 3 4 4 5 6 7 7 8 7 7 6 6 7 7 6 6 5 5 4 3 4 5 5 4 4 4 4 5 4 4 4 4 4 5 6 6 6 5 4 3 5 6 8 9 11 12 12 9 8 8 7 4 2 1 3 5 5 5 3 3 3 2 2 2 1 2 2 2 2 2 3 3 4 5 7 8 8 7 5 4 4 8 16 25 30 29 22 10 5 6 5 1 -6 -9 -4 1 2 2 2 3 3 4 5 7 7 8 8 7 7 9 13 14 12 12 12 9 7 5 3 4 7 6 6 8 6 3 6 8 10 7 3 3 5 7 5 4 10 20 19 11 8 5 -1 -3 -2 1 4 8 10 10 10 10 10 9 10 9 11 10 9 13 12 7 -0 -4 -1 7 10 9 6 4 3 2 4 9 10 9 5 4 9 15 12 13 21 27 20 10 9 12 13 12 11 10 9 6 5 6 6 6 5 5 6 10 15 15 8 4 5 7 7 7 6 6 6 6 5 5 5 5 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 4 5 5 5 5 4 2 1 2 3 4 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 5 5 5 6 7 8 8 9 9 9 8 8 8 8 8 8 9 9 10 12 14 16 17 17 16 15 14 11 9 6 6 6 6 7 7 8 6 5 5 6 6 5 6 6 5 5 5 4 3 1 1 4 6 6 6 6 6 7 6 5 4 4 4 4 5 5 5 5 4 3 3 5 5 0 0 4 6 9 10 9 7 6 6 5 6 7 8 9 8 8 8 10 12 12 11 11 12 11 10 8 6 6 6 6 7 8 9 8 7 6 5 4 4 4 4 3 3 3 4 4 6 7 7 8 7 7 5 3 3 2 3 3 3 3 4 6 7 9 11 14 19 22 21 17 11 8 10 12 11 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 4 5 7 9 8 7 5 4 3 4 3 3 3 3 4 4 4 4 5 5 6 7 10 12 13 13 12 10 8 7 6 4 3 3 3 4 6 7 7 7 7 8 10 12 13 12 10 8 6 5 5 5 6 6 6 5 4 4 5 5 5 5 4 4 4 5 5 6 6 5 4 4 4 5 6 6 8 10 11 10 8 7 6 4 3 4 5 5 5 4 3 3 3 3 2 2 2 2 2 3 3 2 3 3 3 5 8 9 8 6 5 4 5 12 20 25 26 19 10 5 8 15 13 4 -6 -6 -2 1 1 1 2 2 3 4 6 7 7 7 8 7 8 13 17 15 12 14 14 10 7 6 5 4 5 6 7 6 4 8 11 9 11 7 3 2 5 7 6 7 14 19 18 13 5 -2 -6 -4 0 4 6 10 13 13 14 15 15 10 9 9 9 7 8 15 13 7 2 0 3 7 8 6 4 6 8 11 11 7 8 8 4 3 13 18 16 16 22 22 16 10 9 12 13 12 11 10 9 7 6 6 5 5 5 5 7 12 17 14 6 3 5 7 7 7 6 6 6 6 6 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 3 2 2 3 4 5 6 5 5 6 6 6 6 7 7 7 7 7 7 7 8 7 7 6 6 6 6 5 5 5 6 6 7 8 9 9 8 8 7 7 7 8 8 9 9 10 11 13 15 16 16 17 16 14 13 11 8 7 6 5 5 5 4 3 3 3 5 6 6 6 6 6 6 5 5 5 5 4 0 -2 2 6 6 5 5 6 7 7 7 5 3 3 3 3 3 4 5 5 4 3 4 6 2 -1 2 5 8 9 8 7 6 6 5 6 7 8 9 8 8 10 11 11 12 13 14 15 15 13 11 9 7 7 7 8 11 12 10 8 7 6 5 4 4 4 3 3 3 4 4 5 6 7 8 8 8 7 5 4 3 2 3 3 3 4 5 6 6 7 10 16 22 26 24 17 11 10 12 12 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 4 4 6 6 6 5 5 5 5 5 4 3 3 3 3 3 3 4 3 4 5 6 8 10 12 13 13 12 12 10 7 4 3 2 4 5 6 6 6 6 8 11 13 15 14 11 8 7 6 6 7 7 7 6 4 3 4 5 5 6 5 4 3 4 4 5 6 6 5 4 4 5 5 5 5 6 8 10 10 9 8 7 6 6 7 7 6 4 3 3 3 3 2 2 3 2 2 3 3 3 3 3 3 4 7 9 9 8 6 5 5 8 12 17 22 26 19 10 10 17 20 12 -2 -9 -5 -0 0 0 1 1 2 3 5 6 7 7 8 10 10 13 16 17 14 12 12 12 11 8 7 5 4 5 6 8 7 10 14 11 9 7 2 -1 2 6 9 6 6 5 2 5 5 -4 -11 -9 -2 3 4 6 9 12 13 16 21 18 9 7 9 10 8 6 12 13 6 3 5 7 8 6 4 4 5 5 6 6 5 8 9 8 7 8 10 12 14 18 17 13 10 10 12 13 13 11 9 8 7 7 6 5 5 4 4 7 15 18 11 4 4 5 7 7 7 7 6 6 7 6 5 5 5 5 4 5 5 5 5 5 4 5 4 4 5 4 4 4 3 3 3 3 4 5 5 4 4 4 4 4 5 4 4 3 3 3 4 3 3 4 4 4 4 4 3 3 4 5 6 6 5 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 6 6 5 5 5 5 6 7 7 8 9 9 8 7 6 6 6 7 8 9 10 11 12 14 15 16 15 15 14 13 12 10 9 7 6 6 5 5 5 4 2 1 3 5 6 6 5 5 5 5 4 4 5 6 5 3 -1 1 5 6 5 5 5 6 7 8 8 5 4 4 3 3 2 3 5 5 5 4 3 2 1 3 4 6 7 8 6 6 5 5 6 6 7 7 6 6 9 10 10 11 13 15 17 18 16 13 11 9 9 11 12 14 15 13 11 9 7 6 5 5 6 7 6 4 4 4 4 4 5 6 7 8 8 8 6 4 2 2 3 3 3 4 5 5 5 7 11 16 21 24 21 14 10 11 12 11 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 6 5 5 4 5 5 5 6 6 7 6 6 5 5 4 3 2 2 3 3 4 5 6 7 9 10 12 14 16 16 13 9 5 3 3 3 4 5 5 6 7 8 9 11 10 8 7 6 7 7 8 8 7 5 3 4 4 5 6 6 5 4 4 4 5 5 6 6 5 5 4 5 5 5 5 5 7 8 8 8 8 7 7 8 9 8 6 3 3 2 2 3 2 2 2 2 3 3 3 4 4 4 4 6 9 10 9 8 6 5 6 6 7 12 22 29 24 17 16 18 10 -3 -11 -11 -5 -1 -0 0 1 1 3 4 5 6 7 8 12 15 14 14 15 15 15 12 10 10 11 9 7 6 4 3 5 6 4 4 4 0 -0 -3 -5 -4 2 8 9 5 2 -1 -3 -2 -3 -10 -13 -9 -1 4 4 4 6 8 12 21 26 19 8 6 7 9 5 2 11 13 6 -0 3 8 9 7 4 4 6 8 5 4 6 10 12 10 9 6 6 9 13 15 14 11 9 9 11 12 12 10 8 7 8 7 6 5 4 4 5 7 15 17 9 3 5 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 5 4 4 5 4 4 5 4 4 3 3 3 4 4 5 5 4 4 4 4 4 5 5 5 4 4 3 3 3 4 3 3 4 4 5 4 3 4 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 6 6 6 6 6 5 5 6 6 7 8 8 9 9 8 6 6 6 6 7 8 9 10 11 13 14 15 15 14 14 13 12 10 9 8 7 6 6 5 5 6 6 7 6 5 5 5 4 5 6 5 5 5 6 5 4 5 6 5 2 2 5 6 6 5 5 6 7 8 10 9 8 7 7 6 5 4 5 6 6 6 3 1 2 2 3 4 5 6 6 6 5 5 5 5 5 6 5 4 5 7 8 9 12 14 16 17 15 13 11 10 11 15 17 18 18 16 13 11 8 6 6 7 10 12 11 10 7 6 5 4 4 5 6 7 8 9 9 7 4 3 3 3 3 3 3 5 5 5 7 10 13 18 19 14 10 10 12 12 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 14 8 4 6 5 0 6 11 16 15 10 10 13 12 9 6 9 16 14 12 11 12 11 15 25 18 8 5 10 18 25 20 11 4 0 8 18 22 18 10 5 11 15 8 9 15 18 17 15 14 15 14 12 9 8 9 10 12 13 15 18 20 19 17 13 9 6 6 9 11 13 14 15 17 18 19 19 18 17 16 15 14 12 11 10 10 7 6 6 8 9 9 10 10 12 13 14 14 12 11 10 9 10 10 11 12 13 14 13 14 14 14 12 12 12 11 12 13 14 14 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 12 12 11 10 6 4 8 14 16 12 2 9 24 25 19 16 14 13 12 13 14 14 15 15 14 14 14 14 13 13 13 12 12 13 14 13 13 13 12 12 12 13 12 11 11 11 11 12 13 12 11 12 12 13 14 15 14 13 14 14 14 15 15 15 14 13 13 14 15 14 14 14 14 15 15 15 16 16 16 17 18 18 18 18 18 18 17 15 15 14 14 13 13 13 14 15 15 15 15 15 15 15 16 16 14 14 15 18 18 16 14 14 15 15 15 16 16 16 16 16 16 17 16 17 18 18 18 18 19 19 17 18 17 16 14 14 13 13 13 12 11 11 11 11 12 13 13 13 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 12 12 13 14 15 16 17 17 15 15 13 13 12 12 11 11 10 10 10 10 10 10 9 9 9 10 9 10 10 10 10 11 11 11 11 12 13 13 13 13 13 13 12 13 12 11 11 11 11 12 12 12 12 13 13 12 13 13 13 13 13 13 12 12 14 16 16 16 15 14 12 12 13 13 13 12 12 11 11 12 12 13 14 14 15 15 15 16 15 15 14 12 10 9 9 10 9 9 9 9 9 10 11 10 6 2 -3 -4 -2 4 16 23 19 16 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 15 16 16 16 16 15 15 14 14 14 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 14 14 14 14 14 14 13 13 14 15 15 15 15 14 14 14 13 13 13 12 12 11 12 13 nan
nan 17 13 8 7 4 2 8 17 21 13 10 10 10 9 9 7 10 12 12 18 21 20 14 13 11 13 13 13 17 19 15 3 0 0 -1 7 13 13 10 7 5 16 14 8 11 14 17 17 16 15 14 12 12 12 12 12 13 13 14 15 17 20 20 19 16 12 9 7 8 12 13 13 14 15 16 16 16 16 15 15 14 14 13 12 11 9 6 5 6 7 9 10 10 11 12 13 13 14 12 10 10 10 10 11 11 13 13 14 14 14 13 13 13 12 12 12 13 14 14 14 13 13 14 13 13 12 12 11 11 11 11 11 12 12 12 12 12 13 13 13 13 11 11 11 9 8 10 14 20 20 13 2 5 17 19 19 16 14 13 13 13 13 14 14 13 13 13 13 13 13 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 12 13 13 12 12 11 12 13 15 15 15 14 14 15 15 14 14 14 12 12 14 15 15 14 13 12 14 18 18 16 16 15 15 16 18 19 18 18 17 17 16 16 17 16 15 14 14 13 14 15 16 15 15 15 15 15 15 14 12 10 10 15 18 15 13 14 14 15 15 15 16 15 15 15 15 16 16 16 16 16 16 16 17 16 17 17 17 16 15 15 14 14 12 11 10 10 10 11 12 12 12 12 12 11 11 12 13 13 13 13 13 12 11 11 11 11 11 10 10 10 10 10 11 12 13 14 15 16 15 14 12 11 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 11 12 12 11 12 12 13 13 12 12 12 13 13 13 12 12 12 14 16 16 14 13 12 12 13 13 13 12 11 11 11 11 12 13 14 14 14 14 14 14 15 15 15 14 12 9 9 11 12 12 10 10 9 10 9 10 8 2 -3 -0 9 19 24 25 25 21 16 15 15 14 13 12 13 13 13 13 13 14 14 14 14 14 14 14 14 15 16 18 18 16 15 14 14 14 14 14 14 15 15 15 15 15 16 16 15 16 16 16 16 16 14 13 13 13 13 14 14 14 14 14 14 15 15 16 15 14 13 13 13 12 12 13 12 12 nan
nan nan nan nan nan nan nan 17 20 16 13 7 6 8 12 12 10 9 14 18 20 21 18 13 9 11 13 17 19 18 17 11 4 -2 -2 2 10 12 10 8 6 7 11 11 13 15 15 15 15 15 14 13 12 12 13 13 14 15 15 13 13 15 15 18 19 20 17 13 11 11 12 13 13 14 14 15 14 13 12 12 12 12 12 13 13 10 7 6 5 6 8 9 10 11 12 13 14 14 13 12 10 10 9 10 11 11 12 13 14 14 14 13 13 12 12 13 14 13 12 12 13 13 13 14 14 13 12 11 11 10 11 11 11 11 12 13 12 13 13 13 13 12 12 11 11 11 12 13 16 17 15 11 7 7 12 15 16 15 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 12 13 12 11 12 12 12 12 12 11 10 11 13 14 14 13 12 13 14 14 15 15 16 16 15 14 15 14 13 13 12 13 15 15 15 14 12 9 11 19 21 17 17 17 17 17 17 17 17 17 17 16 16 17 18 18 17 15 14 13 14 16 17 17 17 16 16 17 17 17 14 11 8 10 14 14 14 14 14 16 19 20 21 18 15 14 14 14 14 15 14 14 14 15 15 15 15 16 16 16 16 16 15 14 13 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 13 12 11 10 10 10 10 10 10 10 10 10 11 12 12 13 13 14 14 11 10 9 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 12 12 12 12 12 12 12 13 12 12 12 13 13 13 13 12 12 11 12 12 12 12 12 13 13 12 13 13 12 12 13 15 14 12 12 13 13 14 14 12 10 9 9 10 11 11 12 13 13 13 13 13 13 14 14 14 15 14 13 14 16 18 18 13 11 11 10 10 10 11 9 6 7 14 23 30 27 19 17 16 15 14 14 14 12 12 13 13 13 13 14 14 15 16 15 14 14 14 15 15 15 16 17 16 15 15 15 15 14 14 14 14 16 18 18 17 15 13 13 15 15 16 16 15 13 13 13 13 13 15 15 14 14 14 15 15 15 15 15 14 13 12 12 11 12 13 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 9 10 14 16 17 16 15 14 13 8 9 16 16 14 14 15 13 10 7 8 11 15 17 16 13 9 5 10 13 16 18 18 16 14 12 12 12 13 13 14 14 14 14 12 13 15 15 16 18 19 18 16 13 14 14 14 14 13 12 12 11 11 12 11 10 10 10 11 11 9 7 5 5 7 9 10 12 12 13 14 15 15 13 10 9 8 8 9 10 11 12 13 14 14 13 12 12 12 12 13 14 13 13 12 13 13 13 14 14 13 12 11 11 10 10 11 11 11 12 13 13 14 14 13 12 12 12 9 10 13 14 14 14 13 13 13 12 10 11 13 16 15 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 12 13 13 13 12 12 12 12 12 12 11 11 11 11 12 13 13 13 12 10 8 9 14 24 26 20 16 15 14 14 14 13 12 13 14 15 15 15 14 13 11 10 16 18 16 16 17 18 18 17 16 16 16 16 15 14 14 16 18 18 16 14 13 12 14 15 17 17 15 15 16 16 18 20 19 15 13 14 15 15 14 13 12 15 19 21 20 16 14 14 14 14 14 14 15 15 14 14 15 15 16 16 17 17 16 15 14 13 13 13 13 13 13 12 11 11 12 12 12 12 11 10 10 11 11 10 10 11 11 11 11 11 11 10 11 12 12 12 14 15 14 13 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 11 11 12 12 12 12 12 12 12 12 11 11 12 13 13 13 12 13 14 13 13 12 11 11 12 12 12 12 12 13 13 12 12 12 12 11 13 13 13 11 12 15 15 12 10 7 5 5 7 10 12 12 12 12 12 13 13 13 13 14 13 13 14 16 18 20 20 19 16 12 12 11 10 10 10 11 11 12 14 17 20 21 18 15 14 14 15 15 14 14 12 12 13 14 14 14 14 13 14 14 14 14 14 15 15 15 16 16 16 15 16 16 16 15 15 14 13 14 16 18 19 17 14 12 14 15 16 15 14 14 13 13 13 13 13 14 15 14 15 15 14 14 15 15 14 13 13 13 12 10 10 11 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 8 9 7 7 13 17 17 12 10 13 23 24 13 10 11 17 20 18 12 7 6 11 16 18 19 16 14 13 12 11 12 13 13 14 15 15 14 13 13 13 13 13 14 15 15 14 13 14 15 14 12 11 11 10 11 11 13 12 11 10 10 10 10 11 8 6 5 7 9 10 11 12 13 15 16 16 13 10 8 7 7 8 10 11 12 12 13 13 13 12 11 11 12 12 13 13 13 12 13 14 14 14 14 13 12 11 10 10 9 11 13 13 13 13 13 13 13 12 12 12 11 9 11 14 16 15 13 12 12 14 14 12 11 13 14 14 13 12 12 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 10 11 12 13 13 13 12 9 4 0 5 18 31 31 28 21 15 14 14 13 13 13 13 14 15 15 15 16 16 14 14 13 13 15 17 17 17 17 17 16 16 15 15 15 13 14 16 17 16 14 12 11 11 13 16 16 16 15 13 13 13 19 23 19 15 15 16 15 14 11 5 3 7 12 17 18 18 17 16 15 15 16 15 15 15 15 15 16 16 17 17 17 16 15 15 14 14 14 14 13 12 12 11 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 14 15 16 14 13 11 9 8 9 9 9 10 9 9 9 9 8 9 9 9 9 10 9 9 10 10 10 10 10 12 12 13 13 12 12 11 11 11 11 11 11 12 12 12 13 13 14 13 13 12 11 11 11 11 12 12 12 12 12 13 12 12 12 12 11 12 12 13 13 12 13 12 8 6 5 6 8 10 12 12 13 12 11 12 13 13 13 13 13 13 14 16 18 22 21 16 13 11 11 12 12 11 10 11 11 11 12 12 12 12 13 14 14 15 15 15 15 14 13 12 12 13 13 14 14 14 14 14 14 14 13 14 15 16 17 17 16 16 15 15 16 16 15 14 14 14 14 16 18 19 16 13 11 13 15 16 15 14 14 14 13 12 13 14 14 15 15 14 15 15 15 16 15 14 13 13 12 12 11 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 8 9 20 19 14 8 9 12 14 12 8 5 11 16 18 16 15 13 12 11 11 12 12 12 13 14 14 14 13 13 11 11 11 10 10 10 9 8 10 11 11 11 11 11 11 11 11 13 13 12 11 10 10 11 11 11 10 7 5 6 8 9 10 11 12 15 16 16 13 10 8 6 6 7 10 11 12 13 13 12 11 10 10 11 11 12 13 13 13 12 13 14 14 14 14 13 12 11 9 9 10 12 14 14 14 14 13 13 13 12 12 11 11 12 13 14 15 15 13 12 13 14 14 14 13 14 13 13 12 12 12 12 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 12 12 12 12 12 12 11 8 2 -1 3 14 24 31 32 25 18 13 13 14 13 13 14 15 16 16 17 17 16 14 14 13 14 15 16 15 17 18 18 18 16 16 17 16 14 15 16 16 15 14 12 11 12 14 15 17 17 14 11 7 11 19 17 15 15 14 14 15 14 9 5 5 8 12 15 17 18 18 17 16 15 16 16 15 15 15 15 15 15 16 16 16 15 15 15 15 14 13 13 13 12 12 11 11 11 11 11 12 11 11 11 10 11 11 11 12 12 12 13 13 14 14 15 16 15 13 11 10 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 11 12 12 12 12 12 11 10 11 11 11 11 11 11 12 13 14 13 13 12 12 11 11 11 11 12 12 13 12 12 12 12 12 12 12 12 12 14 14 14 13 12 11 9 9 10 12 13 13 13 12 12 12 12 12 13 13 13 14 13 14 15 17 19 19 17 14 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 15 15 14 13 12 11 12 13 14 14 15 15 14 14 14 13 12 14 15 16 16 16 16 16 15 15 15 15 15 15 14 14 15 16 18 20 17 12 11 12 13 14 15 15 14 14 13 13 14 14 15 15 15 14 15 15 16 16 16 15 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 7 12 14 14 13 16 17 14 10 9 9 11 12 11 11 12 13 14 14 13 12 12 12 11 10 9 7 7 7 7 6 7 9 11 11 12 13 13 13 12 12 12 12 11 11 11 12 12 11 9 6 6 6 7 9 9 9 11 13 16 16 14 12 8 5 4 7 10 12 12 12 12 12 10 9 9 10 12 13 13 13 13 13 13 14 14 14 14 13 12 11 9 10 11 13 14 15 15 14 13 13 13 13 12 12 12 12 13 13 13 14 14 14 13 13 14 14 14 14 13 12 12 13 12 12 13 13 13 13 13 13 12 12 13 13 13 14 13 12 13 14 13 13 13 13 13 13 12 12 12 12 12 11 12 13 13 14 11 4 -0 0 8 18 35 36 22 15 13 13 14 14 14 14 16 16 17 17 16 16 15 13 13 14 14 12 12 16 22 26 22 18 19 19 17 16 16 15 14 15 14 13 12 12 13 14 15 14 12 11 12 14 15 16 15 15 14 15 16 16 14 11 9 9 12 13 16 17 16 15 15 15 16 15 15 16 15 14 14 14 15 16 15 15 16 15 14 13 13 13 12 12 11 11 11 12 12 12 12 11 11 11 11 12 13 13 13 14 15 15 16 17 16 14 12 10 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 11 11 12 11 11 12 12 12 12 13 12 12 12 12 12 11 13 15 16 15 13 12 12 11 11 12 13 13 13 12 12 12 12 12 12 13 13 13 14 14 14 14 15 17 20 19 16 13 10 10 10 10 11 11 11 11 12 12 12 12 12 13 14 14 13 14 13 13 12 12 12 12 12 13 14 14 16 16 15 15 14 13 13 13 14 15 16 16 15 15 15 15 15 15 14 14 13 14 16 17 17 18 17 15 13 11 12 13 14 15 14 13 12 13 14 14 14 15 15 15 14 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 11 12 12 12 12 13 13 13 14 14 13 13 12 12 11 11 10 9 9 9 9 10 11 12 12 14 16 16 15 14 12 12 12 13 13 13 12 12 10 7 5 6 7 8 9 9 9 10 12 15 16 15 12 9 5 4 7 10 12 13 13 12 12 11 10 9 10 11 12 13 13 12 13 13 13 14 14 14 14 12 11 10 11 12 14 14 15 15 14 13 12 12 12 12 12 13 13 12 13 13 13 13 13 13 13 13 13 13 14 15 13 12 12 12 12 13 13 13 13 14 14 14 13 13 13 13 14 13 12 13 13 13 13 13 13 13 13 12 13 13 12 12 12 12 12 12 13 14 13 9 2 -2 2 27 41 31 22 16 14 14 14 15 14 15 16 17 17 17 17 17 15 15 15 14 10 5 5 16 29 28 22 24 21 18 18 18 16 14 13 14 14 13 12 12 12 12 13 13 13 14 14 14 14 15 14 13 13 14 14 13 13 12 11 11 10 12 14 15 16 15 15 16 16 15 16 17 16 15 16 15 16 16 16 15 14 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 14 15 16 16 17 17 18 18 18 18 15 13 11 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 13 13 13 13 12 12 12 12 12 11 12 12 12 12 12 12 13 13 13 12 12 12 14 16 14 11 10 10 11 12 12 12 12 13 13 12 12 12 12 12 13 13 13 13 14 14 14 14 16 18 20 20 18 13 10 10 9 9 11 11 12 12 12 12 12 11 13 13 13 14 13 14 13 12 12 11 12 13 13 14 15 15 15 15 15 14 13 14 14 14 14 14 15 15 15 15 15 15 14 14 14 15 15 14 14 15 16 17 17 15 13 13 13 13 13 14 14 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 7 7 7 7 6 6 6 5 5 6 7 10 11 13 14 17 24 31 36 38 38 38 38 39 38 37 39 45 47 44 34 21 11 9 8 6 4 3 4 5 8 12 13 12 12 14 14 13 11 9 9 10 11 11 10 8 5 2 2 2 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 4 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 0 0 0 2 7 12 15 20 25 31 39 51 65 74 74 62 48 41 39 40 39 32 20 9 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 4 14 14 15 16 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 3 0 0 0 0 3 12 16 15 12 12 14 16 17 16 12 8 5 2 3 12 23 30 33 33 33 31 29 28 27 25 21 13 6 3 9 25 39 46 45 36 27 21 17 11 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 11 39 58 72 89 97 104 111 115 118 125 130 128 123 119 112 99 104 116 103 79 79 91 90 82 70 61 54 54 73 88 80 85 98 108 107 102 102 97 96 114 147 173 180 169 158 149 136 137 147 149 148 138 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 6 6 6 5 5 5 5 6 7 9 10 10 12 14 20 26 31 32 32 31 30 30 30 30 32 35 36 34 29 20 10 6 6 6 4 2 1 2 4 7 6 5 4 5 4 4 4 2 1 2 3 3 4 4 3 2 2 2 2 2 2 2 2 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 1 0 0 0 1 3 8 13 20 26 30 36 48 60 69 70 64 54 47 45 44 42 34 20 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 8 8 9 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 14 10 5 2 0 0 3 11 16 12 6 6 9 12 12 8 4 2 2 1 0 3 11 22 29 29 28 26 26 25 23 21 18 16 8 2 0 4 22 35 42 37 32 27 24 20 13 5 4 3 0 0 0 0 0 0 0 2 0 0 0 0 0 12 43 59 47 54 70 88 96 110 119 122 126 130 130 128 126 124 128 128 118 108 115 123 124 116 101 87 70 57 58 64 61 64 72 78 77 81 86 97 116 149 169 178 173 155 146 144 136 139 147 149 144 132 122 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 nan 6 6 5 5 5 5 5 4 4 4 5 5 6 7 8 9 10 12 16 22 25 27 26 26 25 24 24 24 23 24 24 23 22 18 11 7 7 7 6 3 2 2 3 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 1 0 1 2 3 4 4 5 5 5 5 5 5 5 5 5 4 2 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 1 3 3 1 0 0 0 0 0 3 11 20 26 29 34 43 55 62 64 61 56 51 48 46 42 34 20 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 0 0 0 1 0 1 0 1 4 3 1 1 2 1 1 5 8 4 1 0 0 0 0 0 0 0 0 0 0 4 14 20 20 17 11 8 9 11 14 16 12 5 2 4 7 6 3 0 0 0 0 0 0 2 9 17 19 11 6 15 10 11 14 10 10 2 0 0 1 11 28 30 30 28 28 25 22 18 16 13 10 6 4 2 1 2 4 8 13 8 2 0 0 0 9 28 36 30 22 38 71 90 105 121 126 124 127 131 133 133 133 134 132 126 125 129 134 138 133 129 120 104 85 69 65 62 62 69 76 81 88 97 119 150 175 170 167 159 140 137 147 149 146 147 148 143 130 122 122 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 8 7 5 4 4 4 4 4 4 3 4 4 4 5 6 7 8 10 13 17 20 21 21 20 19 18 18 17 17 17 18 17 16 14 12 10 8 7 6 4 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 1 0 0 1 1 2 2 2 3 3 4 4 4 4 4 3 2 1 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 1 3 2 0 0 0 0 0 0 1 7 17 22 25 30 38 47 52 53 53 52 51 50 50 46 37 20 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 2 3 1 0 1 1 0 0 0 3 9 12 16 19 19 15 5 0 0 0 0 0 0 0 0 0 6 16 22 24 24 23 20 17 16 16 18 18 17 12 4 4 4 2 0 0 0 0 0 0 0 0 1 4 7 3 0 0 0 1 4 6 8 1 0 0 0 5 22 25 22 21 21 23 22 20 20 20 18 17 16 15 15 12 16 22 22 13 3 0 0 0 2 7 8 10 29 74 100 112 123 131 133 128 126 131 135 137 136 135 136 132 127 124 121 123 128 133 136 127 109 90 77 72 75 84 96 104 109 119 141 162 160 150 155 156 137 132 152 160 153 150 151 147 136 127 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 7 5 3 3 3 3 3 3 3 3 3 3 4 4 5 7 9 12 16 19 19 19 16 14 13 14 15 16 17 17 16 14 13 10 7 6 5 3 1 0 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 3 9 15 18 25 31 37 40 40 39 41 44 49 54 54 41 19 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 1 6 5 1 0 5 5 2 0 0 7 17 21 24 24 22 16 7 1 0 0 0 0 0 0 0 3 12 20 24 25 25 24 21 19 18 19 20 21 20 17 10 5 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 3 1 1 4 5 7 15 16 10 10 8 15 20 20 22 20 19 20 23 25 24 21 22 27 27 16 1 0 0 3 16 21 3 3 40 127 134 139 143 140 138 132 127 130 133 135 135 139 138 134 126 123 123 125 130 137 145 144 129 108 92 84 88 100 113 121 124 129 141 150 139 133 150 159 140 130 147 153 151 153 158 155 146 135 128 nan nan nan nan nan nan nan nan nan nan 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 5 4 3 3 2 3 2 2 2 2 2 2 3 4 5 7 11 15 19 21 20 17 14 13 14 16 17 18 18 16 16 14 9 4 3 2 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 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 2 2 0 0 0 0 0 0 0 0 3 10 12 17 22 26 28 28 26 27 31 37 45 49 38 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 8 3 1 4 11 10 3 2 7 16 22 25 26 25 20 12 4 0 0 0 0 0 1 2 2 6 18 24 28 29 26 23 21 20 18 18 20 22 23 21 17 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 8 8 5 5 4 1 2 1 2 6 15 17 13 11 12 16 23 20 11 15 19 22 23 11 1 5 12 42 51 26 27 80 146 149 142 140 136 134 130 128 129 128 126 125 131 136 135 130 129 134 138 136 139 150 160 152 129 108 100 103 115 128 137 139 136 138 137 130 130 141 150 139 127 128 124 126 141 156 159 152 142 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 7 7 7 7 6 5 4 3 2 2 2 2 2 2 1 1 2 2 3 4 4 6 10 16 21 20 15 12 13 15 17 16 15 15 16 15 14 8 4 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 5 5 8 13 15 17 17 16 16 17 20 25 29 24 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 7 2 2 9 13 8 4 10 23 29 25 24 22 18 12 5 1 0 0 0 1 2 3 4 5 8 18 26 36 36 27 23 22 19 16 15 17 20 22 22 20 17 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 11 12 6 0 0 0 0 0 0 1 5 5 2 2 3 9 20 14 9 12 7 12 36 46 45 41 38 65 67 61 78 130 169 151 130 132 130 125 123 124 126 123 113 110 115 128 135 135 135 138 138 135 136 150 167 168 151 131 118 118 131 149 162 164 157 153 150 136 121 118 127 128 128 114 95 95 113 132 144 148 144 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 7 7 7 7 7 6 4 2 2 1 0 0 0 0 0 1 1 2 2 3 3 4 8 13 17 18 14 12 13 14 14 14 14 14 14 12 10 6 4 3 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 8 8 8 8 8 7 8 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 2 5 14 15 9 10 25 42 44 30 22 18 14 8 2 1 1 1 1 2 4 4 4 5 8 14 21 24 27 22 21 20 17 13 5 12 15 17 19 19 18 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 10 10 7 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 7 44 59 70 66 76 77 75 74 89 134 165 147 129 130 127 122 122 123 125 120 110 106 111 123 132 136 136 136 135 132 132 146 168 178 167 147 132 121 137 169 185 186 173 166 160 143 117 101 108 120 130 119 97 87 96 113 127 137 139 134 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 7 6 6 6 7 7 7 6 4 3 2 0 0 0 0 0 0 0 0 1 2 2 3 4 6 10 16 17 15 14 13 13 12 12 12 11 9 8 6 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 8 20 23 16 20 34 41 33 24 20 18 14 10 7 7 6 4 3 4 4 4 4 2 5 7 17 19 18 18 17 17 13 8 2 1 6 6 10 11 13 11 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 0 1 0 0 3 0 0 0 0 0 4 10 25 42 61 70 78 82 81 82 102 146 172 159 143 140 136 129 124 125 128 125 117 115 119 126 133 136 135 133 130 125 124 135 159 182 185 163 144 122 125 153 174 177 166 156 150 141 125 113 118 128 138 133 113 100 101 112 123 130 132 129 124 nan nan nan nan nan nan nan nan 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 10 7 5 4 5 7 7 6 6 5 3 1 0 0 0 0 0 0 0 0 0 1 2 2 3 5 9 14 17 18 16 14 13 12 11 9 8 7 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 11 24 30 26 27 30 28 21 18 17 17 16 14 14 15 14 10 8 9 6 6 5 2 0 0 6 13 11 12 10 8 4 2 0 0 0 0 1 0 3 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 8 2 19 18 22 9 4 7 17 23 26 30 58 86 99 98 95 97 121 162 180 169 157 154 152 146 137 133 135 129 119 116 120 126 131 134 133 131 128 120 119 125 143 167 182 181 169 145 135 148 159 160 147 131 123 124 126 128 130 127 134 142 130 117 113 112 118 125 128 127 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 16 15 12 8 5 2 3 6 8 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 3 6 13 19 22 20 17 15 13 11 9 8 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 11 9 12 22 28 29 27 23 18 15 13 11 9 9 12 14 16 18 18 16 17 14 13 7 4 0 0 0 2 0 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 2 11 21 30 30 21 38 50 47 34 25 32 47 57 63 66 80 103 114 111 110 117 138 166 174 163 152 147 146 149 147 140 139 129 114 110 109 112 118 123 126 128 129 126 122 122 130 146 163 176 178 168 161 172 178 164 144 121 109 107 114 118 112 102 118 144 137 119 107 101 104 115 124 126 125 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 14 15 13 10 6 4 4 6 7 5 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 19 24 24 20 17 14 12 10 7 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 10 13 18 20 20 19 17 14 8 2 0 2 2 4 6 9 12 16 18 19 20 19 10 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 0 0 0 0 0 0 0 0 0 0 2 16 45 63 59 52 65 79 72 56 57 71 87 99 104 110 122 128 125 118 118 128 139 152 153 144 136 133 128 134 142 137 135 130 114 106 104 102 103 106 112 118 126 130 130 126 126 133 144 156 165 165 161 162 167 163 150 132 114 103 109 112 98 83 107 132 127 106 89 82 89 103 116 122 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 11 12 12 10 8 6 6 7 7 4 1 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 7 16 22 24 22 19 16 14 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 15 12 14 16 12 8 9 13 12 6 1 0 0 0 0 0 2 4 6 10 12 14 11 9 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 25 65 89 88 82 94 108 101 90 99 111 120 125 129 134 140 141 131 118 118 130 134 135 134 129 129 134 132 135 135 129 128 126 117 113 111 107 104 102 104 111 120 127 131 132 130 131 136 144 152 154 151 144 139 144 143 135 124 115 124 124 113 108 120 128 121 102 82 74 80 96 110 118 121 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 8 9 9 8 7 7 8 8 7 3 0 0 0 0 1 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 11 19 24 24 21 18 16 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 7 15 17 16 19 19 14 8 11 14 13 5 4 2 0 0 0 0 0 0 0 2 5 8 9 9 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 15 12 4 8 41 83 102 100 95 104 124 132 129 135 136 134 133 137 140 143 143 135 122 117 127 132 131 129 130 134 139 139 138 133 125 121 119 113 110 112 112 113 111 108 111 117 123 128 130 130 130 133 141 149 152 148 141 138 137 136 133 128 126 129 129 127 127 129 133 132 118 98 86 85 94 106 115 119 120 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 11 9 8 8 8 9 10 11 10 9 6 3 0 0 0 0 0 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 3 11 18 23 23 20 18 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 20 23 23 20 18 19 18 15 7 6 5 2 0 0 0 0 0 0 0 1 2 5 7 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 19 34 34 20 23 63 100 103 95 89 96 119 140 146 154 142 133 133 137 139 142 144 142 138 132 132 137 137 135 135 137 138 134 129 126 122 118 115 108 101 99 107 116 119 116 116 119 122 123 125 123 126 130 138 146 148 145 140 140 141 140 138 136 134 132 129 128 130 132 134 137 133 122 110 101 100 106 113 117 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 11 12 11 10 10 11 12 14 14 11 6 3 1 0 0 0 0 0 0 2 3 6 6 3 2 0 0 0 0 0 0 0 0 0 0 2 7 15 20 22 22 20 17 15 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 9 14 16 19 18 20 20 18 14 8 7 7 5 2 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 21 42 47 35 32 63 105 104 91 89 100 126 143 147 152 132 126 129 131 136 142 146 149 151 148 143 143 141 138 138 136 132 127 123 119 116 114 111 107 102 98 104 117 124 124 122 123 122 122 119 116 119 124 130 138 144 144 140 138 141 144 144 144 143 138 130 128 132 135 134 134 137 137 129 113 106 108 112 116 120 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 8 10 12 12 12 13 13 13 14 14 10 6 4 2 0 0 0 0 0 0 1 4 6 5 3 1 1 0 0 0 0 0 0 0 0 1 4 8 13 18 20 21 19 18 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 8 9 12 11 8 6 5 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 1 2 1 0 0 0 0 0 0 2 8 18 37 53 38 20 38 82 109 107 104 118 144 150 144 132 120 116 117 122 132 142 148 151 150 143 137 138 140 139 137 134 130 126 124 119 114 108 104 103 106 107 109 118 123 126 127 126 124 121 117 114 115 120 125 132 141 144 142 141 143 144 145 146 146 138 129 129 137 144 135 128 130 134 134 125 117 113 112 114 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 6 8 9 12 14 13 12 12 13 12 8 6 5 2 0 0 0 0 0 0 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 1 4 7 12 16 17 16 16 16 14 10 4 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 4 5 5 4 4 3 4 4 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 4 0 0 0 0 0 0 2 8 14 28 57 48 13 19 58 109 126 123 133 147 141 126 116 111 112 110 113 124 136 146 153 151 138 124 120 124 129 131 131 131 130 128 122 115 107 102 101 106 111 116 120 122 123 124 125 123 118 113 113 114 116 120 127 136 145 148 149 149 149 145 141 138 128 122 127 140 151 147 134 124 122 127 131 131 127 121 114 110 108 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 14 12 8 5 5 8 11 12 11 10 11 12 10 9 10 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 4 8 11 11 12 14 14 13 9 3 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 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 1 3 4 5 5 2 0 0 0 0 0 0 6 11 20 42 52 41 51 67 102 123 127 135 142 130 117 116 119 121 120 118 121 127 138 149 150 142 133 122 115 117 123 126 129 130 130 128 121 114 109 107 110 114 118 124 126 124 121 119 116 110 108 112 116 116 114 118 129 140 150 157 158 156 145 135 126 118 114 120 136 152 158 147 129 118 120 131 142 144 135 122 113 112 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 13 13 10 6 4 4 7 9 10 10 12 13 13 13 16 20 14 7 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 9 11 12 13 12 8 3 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 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 1 2 2 2 5 5 5 5 4 3 3 3 2 3 3 2 2 2 3 3 2 2 2 3 4 4 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 1 2 5 3 0 0 0 0 0 0 2 5 15 28 42 52 67 81 97 112 121 131 140 138 130 127 134 140 140 138 135 130 128 135 139 139 137 134 128 122 121 124 125 124 123 125 123 119 116 114 114 117 122 128 132 130 123 116 112 108 108 115 120 118 113 112 119 127 137 147 153 153 144 130 119 110 106 111 126 146 162 159 140 124 121 129 140 148 144 131 116 114 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 10 11 11 8 5 4 4 6 8 9 10 12 15 18 23 26 22 15 10 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 9 11 12 10 6 2 1 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 0 0 0 0 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 1 3 4 5 6 6 7 7 7 6 6 5 4 4 4 3 3 2 2 2 3 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 1 4 2 0 2 0 0 0 0 0 1 6 15 26 36 52 69 84 98 113 128 138 139 129 124 131 140 143 149 154 149 134 128 124 127 131 132 138 137 135 135 132 123 115 116 118 118 117 116 116 116 119 127 132 132 126 119 115 114 117 122 123 119 114 113 112 114 120 129 137 140 136 126 115 105 99 100 111 132 154 164 154 131 116 119 133 146 148 142 131 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 10 12 10 7 4 3 4 5 6 7 8 13 19 24 28 27 22 18 16 14 12 10 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 9 8 5 3 2 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 7 8 8 7 7 6 6 6 5 4 4 4 3 3 3 4 4 4 3 3 3 3 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 4 3 4 2 2 5 7 4 1 0 0 0 1 3 10 19 28 42 58 76 95 114 126 127 116 110 112 116 119 128 148 157 150 139 126 118 116 121 130 136 141 144 145 139 128 119 116 114 114 114 116 116 118 124 127 127 125 122 120 124 130 134 130 118 111 110 108 106 108 116 124 126 125 120 115 107 99 95 98 111 138 164 163 138 114 108 123 143 154 153 148 145 nan nan 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 10 12 12 9 6 4 3 4 4 5 6 8 12 18 24 26 24 21 19 20 20 18 16 14 11 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 4 3 2 1 0 0 0 0 0 0 0 0 1 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 0 0 0 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 9 10 9 8 8 8 7 7 7 7 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 17 16 8 4 4 7 12 12 9 6 3 1 0 0 0 2 7 14 22 34 50 69 91 108 113 106 94 90 92 94 100 112 129 142 146 140 128 114 106 107 114 123 133 142 148 144 133 124 116 111 110 112 115 120 124 124 122 120 118 120 127 137 142 138 121 104 98 100 102 105 109 113 114 115 114 114 112 104 96 92 97 118 148 156 144 123 110 119 142 161 164 156 146 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 8 9 11 12 12 9 7 6 6 6 7 7 6 6 10 17 22 24 20 15 14 16 18 19 20 18 16 13 9 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 3 1 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 1 2 5 6 5 5 7 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 4 22 30 22 8 3 6 13 18 18 18 17 12 5 1 0 0 0 0 3 9 16 26 41 63 92 110 108 87 76 76 80 84 88 94 108 125 136 137 127 109 96 96 100 108 118 131 140 136 133 119 110 107 107 110 117 122 123 122 119 116 117 122 131 142 144 124 97 85 89 98 107 111 112 111 110 108 107 106 102 98 93 92 103 128 150 152 135 117 117 139 164 171 159 135 104 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 11 10 10 11 13 13 12 10 8 8 8 8 8 7 5 6 10 16 21 20 14 9 9 12 15 18 19 20 19 17 15 11 8 5 3 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 2 3 4 4 4 3 2 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 9 10 10 10 9 8 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 6 6 7 6 6 4 2 1 0 0 0 0 0 0 1 1 0 2 6 8 7 7 9 10 10 10 7 4 0 0 0 0 0 0 0 0 0 0 1 11 32 40 26 8 2 9 18 22 20 20 21 18 13 7 3 0 0 0 0 2 4 10 18 34 59 91 108 95 76 68 69 71 74 76 78 88 102 117 126 120 101 90 89 91 95 102 112 126 128 122 117 110 106 108 114 120 123 124 124 122 119 118 124 139 147 129 96 83 89 101 112 115 114 113 111 105 96 94 95 96 94 90 93 112 139 155 144 124 117 133 162 178 169 149 118 nan 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 12 13 13 13 12 10 9 9 9 9 8 7 6 7 12 17 20 18 12 8 8 10 12 15 18 20 21 21 18 15 12 7 4 1 1 0 0 0 0 1 2 2 2 2 2 2 2 2 3 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 9 10 11 10 9 8 7 7 8 7 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 4 5 5 6 6 6 7 7 7 7 7 5 3 2 1 1 1 1 1 2 4 8 11 13 13 12 11 10 12 13 13 13 11 8 4 2 2 1 1 1 1 1 1 0 2 9 30 44 35 15 8 18 28 27 18 17 17 16 14 13 8 0 0 0 0 0 0 2 5 11 26 53 84 97 90 75 65 61 58 55 55 58 62 71 98 121 116 94 86 85 83 81 83 90 102 111 116 114 111 110 113 118 123 128 132 131 128 122 122 133 144 129 105 98 104 112 116 114 110 110 112 108 94 84 84 88 90 88 89 100 122 144 144 129 114 122 154 177 177 167 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 19 16 14 12 11 11 11 11 12 11 11 10 10 9 8 8 8 7 8 12 17 20 18 13 8 7 8 11 15 19 21 21 19 18 16 13 9 5 3 1 1 0 0 0 1 2 2 3 3 2 2 2 2 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 8 9 10 10 10 9 8 7 6 6 6 6 6 5 5 6 5 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 6 6 7 7 8 8 7 6 4 2 2 2 2 3 6 10 13 18 20 20 19 19 18 16 17 16 16 15 15 15 11 9 10 8 6 6 5 4 1 0 1 3 15 33 41 34 27 34 42 38 25 18 14 10 9 10 10 1 0 0 0 0 0 0 0 1 6 18 44 73 88 86 75 65 55 48 44 40 37 32 44 94 124 111 93 84 77 70 66 65 71 84 98 108 112 112 111 114 121 133 144 150 151 141 126 126 130 120 110 112 118 121 116 106 98 98 107 111 101 86 77 78 82 85 87 92 104 125 135 131 120 119 140 160 160 141 118 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 22 17 14 10 8 7 6 6 6 8 10 11 11 9 8 8 8 8 7 8 10 14 19 17 13 10 10 11 15 19 21 20 18 16 17 18 15 11 6 2 0 0 0 0 0 1 1 1 2 2 2 1 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 8 9 10 10 10 9 8 7 6 5 6 5 5 5 4 5 5 4 4 3 3 3 4 4 5 5 6 6 5 4 4 5 5 5 5 5 6 7 8 7 7 6 5 3 2 1 1 4 10 17 21 23 23 23 22 21 21 21 21 19 18 18 19 20 18 18 18 17 17 15 13 7 2 0 0 0 3 14 30 41 45 47 50 50 42 33 22 10 5 4 6 2 0 0 0 0 0 0 0 0 0 2 14 34 55 72 77 74 67 60 54 43 33 24 21 47 85 107 101 85 72 61 54 50 50 56 68 84 98 106 106 108 113 134 156 169 177 167 144 128 117 110 109 115 121 120 110 98 88 87 99 112 111 94 77 73 76 81 85 88 94 108 122 129 127 125 132 142 136 105 66 54 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 12 10 7 5 3 1 0 0 2 6 9 11 10 8 7 6 6 6 6 7 8 13 16 14 13 14 16 19 22 23 20 16 13 14 17 17 15 12 8 2 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 9 9 10 9 9 8 8 6 5 5 6 5 4 4 4 3 2 2 2 2 2 3 3 4 5 5 6 6 5 4 4 5 5 6 5 5 6 6 7 7 6 6 5 4 2 1 0 2 7 15 22 25 25 24 23 22 22 23 23 21 21 20 20 20 19 18 18 18 19 21 22 16 6 1 0 0 0 2 8 20 32 40 38 44 42 40 30 16 8 2 1 1 0 0 0 0 0 0 0 0 0 0 2 9 20 36 55 64 69 70 66 53 40 29 20 20 39 70 83 75 58 46 42 37 33 34 40 52 68 86 97 99 100 120 145 163 174 175 162 141 119 107 107 113 117 112 102 93 83 81 91 108 115 105 88 81 79 80 83 86 93 105 119 128 129 130 134 136 130 104 65 49 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 5 4 1 0 0 0 0 0 2 6 9 9 8 5 4 4 5 6 6 7 10 14 12 10 13 17 22 27 28 24 16 12 12 14 16 18 18 15 9 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 10 10 10 10 10 9 8 7 6 6 6 6 6 4 4 3 1 0 1 2 3 3 2 3 4 4 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 2 2 4 12 20 25 26 25 24 23 22 22 22 21 20 20 20 19 20 18 17 17 20 26 31 29 20 10 2 0 0 0 0 2 7 18 19 23 20 26 24 19 14 5 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 8 23 37 51 63 65 57 45 34 24 16 18 34 50 52 42 31 23 21 16 14 17 24 37 53 71 84 90 101 121 140 154 164 168 157 133 114 110 114 114 107 98 90 80 78 85 99 109 111 105 99 94 90 88 89 96 108 120 125 126 130 135 138 136 126 106 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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