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 6 6 6 6 5 5 5 5 6 6 6 6 6 7 8 8 7 6 5 4 3 3 3 3 3 3 3 2 2 1 2 2 2 3 3 3 4 4 4 4 3 2 1 2 2 2 1 1 2 1 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 2 2 3 3 3 4 5 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 4 4 3 4 4 5 5 4 4 4 4 4 5 4 4 3 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 4 3 4 5 6 6 7 8 7 6 6 6 6 7 7 7 7 6 5 2 -2 -1 3 6 6 6 6 8 2 0 2 3 3 4 5 5 6 4 5 6 7 7 5 4 6 6 5 1 -1 2 2 0 -0 0 3 5 4 4 2 4 8 6 2 -1 0 1 1 3 8 6 2 1 2 2 0 1 4 3 3 5 5 5 6 5 2 -1 -1 2 12 30 40 30 12 5 4 2 3 3 3 3 3 3 4 5 6 6 6 7 8 11 16 20 20 16 10 6 4 3 2 2 3 3 3 3 4 4 5 5 5 4 4 4 4 4 5 7 8 6 4 4 4 4 4 3 4 4 5 4 4 4 4 3 3 3 3 4 3 4 4 4 3 3 2 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 2 2 2 2 4 4 4 4 4 5 5 7 8 9 8 8 6 5 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 4 4 4 4 4 6 9 16 19 14 11 11 11 9 4 -1 -4 -5 -5 0 3 4 7 6 4 4 3 0 -3 -5 -6 -7 -8 -8 -6 -1 4 6 6 6 7 8 10 13 16 19 16 12 9 9 10 10 11 10 8 7 7 8 12 14 13 11 9 8 7 6 7 7 9 9 7 7 9 10 10 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 6 6 6 5 5 5 6 6 5 5 5 6 7 8 9 8 8 6 5 4 4 4 4 4 4 3 2 2 2 1 2 2 2 3 3 3 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 3 4 3 3 3 3 3 3 2 2 3 3 3 3 4 4 5 5 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 6 5 4 4 5 6 7 7 7 7 6 5 5 6 6 7 7 7 6 5 2 -1 1 4 7 7 8 10 7 3 2 2 3 3 3 3 5 5 3 4 6 8 10 9 7 6 4 1 -0 2 5 5 2 1 -1 1 5 6 6 7 7 6 6 6 2 -1 -1 -1 1 5 5 1 1 1 0 0 1 3 4 4 3 2 2 5 7 6 5 6 11 21 33 33 18 6 4 3 2 3 3 3 3 3 3 4 5 6 6 6 6 8 11 16 19 19 15 10 6 3 2 2 2 3 3 3 4 4 5 5 4 4 4 3 4 3 3 4 5 6 5 4 4 4 4 4 5 5 6 6 5 4 4 4 3 3 4 4 5 5 5 5 4 2 -1 0 3 3 3 3 4 5 5 4 4 4 4 5 5 4 4 4 3 2 2 3 4 4 4 5 5 5 5 6 8 8 8 8 7 6 5 5 5 5 5 4 3 3 3 3 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 3 4 5 9 14 15 14 13 12 12 12 10 10 6 4 4 5 6 8 9 7 8 7 4 1 1 -0 -2 -4 -5 -5 -2 3 5 5 5 5 6 7 8 11 13 11 8 9 10 11 12 12 11 10 9 8 9 12 12 8 5 5 4 4 5 6 6 7 7 6 5 6 7 8 7 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 nan 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 8 7 6 6 6 7 6 5 4 3 2 1 1 1 2 2 2 2 3 4 4 4 3 4 3 2 2 2 2 2 3 3 3 4 5 5 4 4 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 5 5 4 5 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 5 5 5 5 4 4 4 5 6 5 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 6 4 3 4 6 7 7 7 7 6 5 5 6 6 6 7 6 6 4 1 0 4 6 5 4 5 9 6 6 4 1 3 6 6 4 4 3 3 3 2 3 4 5 7 6 4 2 2 4 6 6 6 3 2 5 8 10 9 9 9 5 3 4 6 5 2 0 1 4 6 4 3 2 1 -1 -1 3 5 3 -0 -0 3 8 11 12 12 14 20 30 32 21 8 4 4 3 2 3 3 3 3 3 3 4 6 6 7 6 6 7 10 15 18 18 15 11 6 3 1 1 2 3 4 4 4 5 5 5 4 3 3 3 3 3 3 3 5 5 4 2 3 4 4 5 5 6 6 6 5 4 4 4 4 4 4 5 5 5 6 5 4 3 -2 -4 0 3 1 0 3 5 5 5 4 3 4 5 5 4 4 3 3 3 3 3 3 4 4 5 5 5 5 6 7 8 9 8 7 6 6 5 5 5 5 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 5 6 6 6 5 4 4 3 3 3 4 6 9 10 11 11 9 9 9 8 7 6 6 6 7 7 7 6 8 7 5 3 3 5 4 3 3 3 3 5 6 6 5 5 5 5 5 6 7 8 7 9 10 11 12 12 12 11 10 9 9 9 7 5 3 3 3 3 4 5 5 6 6 5 5 6 6 6 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 10 9 8 7 7 7 8 7 6 5 4 3 2 2 2 2 1 2 2 3 4 4 3 3 3 3 2 2 3 3 2 2 3 4 4 5 4 4 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 5 4 4 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 5 5 6 6 5 4 4 5 6 6 6 6 6 7 7 7 7 7 8 8 7 5 4 4 5 6 7 7 7 7 6 6 5 5 6 6 6 6 3 -2 -5 1 7 4 -0 3 7 5 6 7 4 3 9 11 6 0 0 3 3 0 -2 -2 -0 2 2 2 2 3 4 4 7 10 8 7 8 11 12 12 10 10 7 0 -1 5 11 9 7 5 7 11 10 6 3 1 1 3 6 5 2 1 3 6 11 15 18 19 23 29 33 25 12 5 4 3 2 3 3 3 3 4 4 4 5 6 6 6 6 6 7 10 14 18 17 15 11 7 3 1 1 2 3 4 4 5 5 5 4 4 3 2 2 2 3 3 3 4 5 3 2 4 5 4 5 6 6 5 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 1 -5 -3 3 3 0 2 6 6 5 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 5 6 6 6 6 7 7 7 7 7 7 6 6 6 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 2 3 2 2 2 3 4 6 7 8 6 6 6 6 5 5 5 7 8 6 4 3 4 5 7 7 5 5 4 5 7 7 6 7 7 6 5 5 5 5 5 5 5 6 8 8 9 9 10 11 11 11 10 9 8 7 5 4 3 3 3 4 5 5 6 6 5 5 5 5 6 6 6 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 5 3 2 2 3 3 4 4 3 3 3 4 4 4 4 5 5 6 7 8 10 10 9 8 7 7 7 7 6 6 5 5 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 3 3 2 3 3 3 3 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 7 5 5 4 5 6 7 6 7 7 7 5 5 5 6 6 6 4 2 -4 -9 -7 3 6 4 8 8 4 6 7 6 4 6 8 5 -2 -1 4 5 2 -1 -2 -2 -2 -2 -1 0 4 6 4 9 15 13 9 8 9 12 13 12 12 10 2 -3 2 10 11 12 12 11 12 12 9 5 4 4 7 7 5 5 6 7 9 13 17 21 26 30 33 27 15 7 4 4 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 7 10 13 17 17 15 11 7 4 2 1 2 3 4 5 5 5 4 4 3 3 3 2 3 4 3 3 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 5 5 5 6 6 5 5 5 4 3 -1 -4 -0 6 6 5 7 6 4 4 5 6 6 5 4 3 3 3 4 3 3 3 4 4 4 5 6 7 7 6 6 6 7 7 7 7 8 7 7 6 5 4 2 3 4 4 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 5 5 5 4 4 3 2 1 0 -0 0 1 1 1 2 3 3 4 4 6 6 6 5 5 5 5 6 9 8 5 4 3 4 9 12 10 8 6 6 6 6 7 7 6 6 5 5 4 4 4 4 5 6 7 7 7 7 8 9 9 10 9 8 8 7 6 4 3 4 5 5 5 6 7 6 5 5 5 5 6 6 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 4 5 5 5 3 2 2 2 3 3 4 3 3 3 3 3 4 4 4 4 4 5 7 9 9 8 7 6 6 6 5 6 6 6 5 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 4 4 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 5 5 5 5 6 6 6 7 7 7 6 5 5 6 7 5 4 2 -1 -6 -6 1 6 9 12 8 4 7 7 7 5 1 2 3 -0 0 6 7 4 2 1 -1 -2 -0 0 1 5 10 8 10 15 12 6 4 6 11 13 12 11 10 5 -1 1 8 11 10 10 9 7 8 7 8 8 8 9 7 7 9 10 10 10 13 19 24 28 31 26 16 8 4 4 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 7 9 12 15 17 15 13 9 6 3 3 3 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 5 6 7 6 5 4 5 5 5 4 4 4 4 5 4 4 4 4 4 5 6 6 6 5 5 4 3 3 -1 -2 3 8 8 7 5 4 5 6 7 6 5 4 3 3 3 4 4 3 3 4 4 4 4 5 7 8 7 6 6 6 6 6 7 8 9 9 7 5 4 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 2 0 -2 -3 -3 -2 -0 1 1 1 2 1 2 5 6 5 5 6 6 5 6 7 8 8 8 4 5 11 13 12 9 7 6 5 6 7 7 7 6 5 4 4 4 3 4 5 6 7 7 7 6 6 6 7 7 7 7 7 8 9 7 6 5 5 5 5 5 7 9 7 5 4 5 6 5 5 5 5 6 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 2 2 3 5 5 4 2 1 2 2 2 3 3 3 2 2 3 3 4 4 4 4 4 5 6 7 8 8 7 5 4 4 4 4 5 5 4 4 4 3 3 3 2 1 1 1 2 2 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 2 2 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 6 6 5 5 5 6 7 7 7 6 7 7 6 6 6 6 7 8 8 8 9 9 9 8 7 6 5 5 5 5 6 7 7 7 7 6 5 6 6 6 5 3 3 2 -1 -0 4 6 6 8 7 6 9 9 7 4 3 3 5 4 3 7 6 2 2 4 3 1 3 3 3 6 10 10 10 9 7 1 1 4 8 11 11 9 8 6 4 6 9 10 6 7 7 1 2 6 10 12 10 9 9 10 11 10 9 10 14 19 23 26 24 16 8 5 4 4 3 3 3 3 2 2 3 3 4 5 5 6 6 6 6 6 7 8 10 13 14 14 13 11 8 6 5 6 6 5 4 4 4 4 4 3 3 3 4 4 4 4 4 5 6 7 7 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 4 4 5 5 1 -1 4 8 7 4 3 4 7 7 7 5 4 3 3 4 4 4 4 4 3 3 4 4 5 6 7 8 8 7 6 6 6 6 7 9 10 9 6 4 3 3 3 3 4 4 5 6 6 6 5 5 5 4 4 4 5 5 4 4 4 5 5 5 4 3 2 2 1 -1 -2 -0 2 3 3 3 3 2 3 4 5 6 6 6 6 6 7 7 7 6 6 5 8 10 9 7 5 5 5 5 5 6 6 6 6 5 3 2 2 2 4 4 5 6 6 7 6 5 5 5 5 5 5 7 10 12 12 9 6 5 4 3 4 7 10 11 8 7 6 6 5 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 nan nan nan nan
nan nan nan nan nan nan nan 3 2 3 4 5 4 3 2 2 2 2 2 3 3 2 2 1 2 3 3 4 4 3 4 4 5 6 6 6 5 4 4 3 3 3 3 4 3 3 3 3 2 2 1 1 1 2 2 2 3 3 3 3 3 3 4 4 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 2 2 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 5 5 4 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 8 7 7 7 7 6 6 6 7 8 9 9 9 10 10 8 7 7 6 6 5 4 5 7 7 6 6 6 6 6 6 5 4 3 3 3 2 1 3 5 5 5 7 9 10 9 6 4 4 4 7 7 7 6 3 -0 3 6 5 3 4 4 3 6 8 8 7 5 2 -1 2 5 5 7 10 10 7 5 8 12 9 3 4 8 9 5 1 6 8 8 8 8 11 11 10 7 8 11 14 18 21 22 17 9 5 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 7 8 10 11 13 13 12 10 9 8 8 7 6 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 7 5 5 5 5 6 6 6 5 5 5 7 7 6 5 5 6 6 6 7 6 6 6 7 7 6 3 4 7 6 3 2 3 5 6 6 6 6 5 5 4 4 5 4 4 4 4 3 4 4 5 7 8 7 7 7 6 6 6 7 8 9 10 8 5 3 3 2 2 3 4 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 6 6 5 6 7 7 8 7 4 3 4 7 5 4 3 3 4 4 4 4 4 5 6 6 5 3 0 -0 0 3 4 5 5 6 6 6 5 5 5 5 4 5 6 9 13 14 9 6 4 3 3 3 6 10 13 13 10 6 5 6 5 4 4 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 3 3 3 4 4 3 2 2 2 2 2 2 3 2 1 1 1 1 2 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 3 3 3 3 3 2 3 2 2 2 2 1 1 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 7 8 8 8 7 7 8 8 7 7 8 9 10 10 10 10 11 10 8 7 7 7 6 5 5 5 7 7 6 6 6 6 6 6 5 4 4 3 3 3 1 1 5 7 8 8 10 10 6 4 7 7 5 4 6 7 5 0 0 5 8 7 4 5 4 3 5 6 7 6 4 2 1 4 7 4 3 9 13 9 3 8 12 6 0 3 5 5 7 3 7 7 3 6 9 12 11 8 7 9 12 14 16 19 16 10 6 6 5 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 7 8 8 9 10 11 10 10 10 10 8 6 4 4 4 4 4 5 5 4 4 4 4 4 5 6 7 9 10 11 10 8 7 6 6 7 7 7 6 7 7 8 9 9 8 8 7 7 7 8 7 6 6 7 7 5 3 4 3 1 1 2 3 3 5 6 6 6 6 6 6 6 5 5 4 4 3 3 3 4 6 6 7 6 5 5 5 6 7 7 8 9 9 7 5 4 2 1 1 2 4 5 6 6 7 6 5 5 5 6 6 6 5 5 5 4 4 4 4 6 7 6 6 8 8 7 6 4 3 3 4 4 3 4 5 5 5 5 5 6 6 8 8 5 3 4 4 3 2 3 4 4 4 4 4 4 4 5 6 8 6 3 1 -0 1 4 5 5 5 5 6 6 6 6 6 5 5 5 7 9 9 8 5 4 3 2 2 3 8 12 12 10 7 5 4 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 nan nan 1 2 3 4 5 4 2 2 2 2 2 2 3 3 3 2 1 1 0 1 2 2 3 3 3 3 3 3 3 3 4 5 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 5 5 4 5 6 6 5 5 4 4 4 4 5 5 5 5 5 6 7 7 8 8 7 8 9 10 10 10 10 10 10 10 11 12 11 9 8 7 7 7 7 6 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 2 2 4 8 9 7 8 7 5 4 6 6 3 2 4 6 4 2 3 7 10 10 7 7 6 5 5 6 7 7 6 4 2 4 6 4 2 7 13 10 3 5 8 5 5 8 4 1 3 4 7 6 5 8 12 13 9 6 5 6 9 11 14 15 10 6 5 5 5 4 3 3 4 4 3 3 3 4 4 4 5 5 4 5 5 5 5 6 6 6 6 7 7 8 9 9 10 10 10 9 7 5 4 4 5 5 5 5 5 5 4 4 4 5 6 8 9 11 14 15 13 12 10 9 8 8 8 8 8 8 9 10 11 12 10 9 8 8 8 7 5 5 6 5 4 2 1 1 0 1 1 2 3 3 4 5 6 7 6 6 6 6 6 5 5 3 2 2 3 4 5 6 5 4 3 3 5 6 7 7 8 9 9 8 7 5 3 1 1 2 4 5 6 7 6 6 5 5 6 5 6 6 5 4 4 4 4 5 7 9 9 8 8 8 7 6 4 3 3 3 3 3 4 4 4 5 6 5 5 7 9 12 11 7 5 4 3 3 4 5 5 5 5 5 4 4 5 6 10 10 6 5 5 2 3 4 4 4 5 5 5 5 6 6 7 6 6 6 6 4 4 4 3 2 2 2 2 5 8 9 7 5 5 4 4 4 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 nan nan 0 0 2 4 5 5 4 3 2 2 2 3 4 4 3 3 2 1 1 1 1 1 2 3 3 3 3 3 3 3 3 5 5 5 4 4 4 3 3 2 2 1 1 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 5 5 5 5 6 6 7 7 7 8 10 11 12 12 12 12 11 11 11 12 13 11 9 7 7 7 7 7 6 6 6 6 6 6 7 6 6 6 6 6 5 6 5 5 5 4 4 4 9 11 8 5 4 4 4 2 2 1 2 3 3 4 7 8 7 8 8 9 10 9 7 7 7 8 7 7 5 2 2 4 4 4 5 9 9 4 3 3 6 9 9 3 3 5 4 0 2 7 13 15 11 6 4 4 4 6 8 11 11 6 4 4 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 6 6 6 7 8 8 8 9 9 8 7 6 5 5 5 5 6 5 5 4 4 3 4 4 5 6 8 10 12 15 16 16 16 14 12 11 11 11 11 10 8 8 9 10 10 9 8 7 6 5 4 5 6 6 4 2 1 -0 -0 0 1 2 2 3 4 4 5 6 6 6 6 6 7 6 5 4 3 2 2 2 4 5 5 3 -0 -1 1 3 5 6 7 7 8 9 9 9 7 5 2 0 1 3 5 6 6 6 5 4 5 5 5 5 4 3 4 4 4 6 9 10 10 8 6 7 6 5 4 3 3 4 4 3 4 4 4 5 7 9 8 8 10 13 11 8 7 5 4 4 4 4 4 5 5 5 6 5 6 6 10 12 9 7 7 4 3 4 4 4 4 4 5 5 5 6 7 7 7 7 6 4 3 3 3 3 2 2 2 3 4 5 4 4 4 5 4 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 1 1 2 3 4 4 4 3 2 2 3 4 4 4 4 3 2 2 2 2 2 2 2 2 3 3 3 2 3 3 3 4 4 4 4 4 4 3 2 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 5 6 7 7 8 9 10 11 12 13 13 12 12 12 13 14 14 12 9 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 5 4 5 7 7 10 12 8 4 2 3 3 2 1 2 3 3 3 4 10 11 5 3 5 9 12 11 9 8 8 8 7 5 4 3 2 4 6 5 4 6 5 3 4 5 6 10 6 2 5 9 7 -2 -1 8 14 15 10 4 2 3 6 7 8 10 9 5 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 5 5 4 4 4 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 7 7 6 5 5 6 5 5 5 4 3 3 3 3 4 4 6 6 8 10 11 12 13 13 13 13 13 13 12 10 10 8 7 7 8 8 7 7 6 7 8 8 8 8 7 5 3 1 0 0 1 1 2 3 4 4 5 5 6 6 6 6 6 6 6 5 4 3 2 2 3 5 5 4 1 -3 -7 -5 1 5 6 7 7 8 9 11 11 10 7 3 -0 -0 2 3 5 5 5 4 3 4 4 4 3 2 2 2 3 6 8 9 9 7 6 6 5 5 4 4 4 5 5 5 5 6 6 6 8 9 9 8 9 11 10 9 7 6 5 4 4 4 4 4 4 6 7 6 6 7 8 10 9 8 6 3 3 4 3 4 5 5 5 5 5 6 6 7 7 8 7 6 5 3 3 3 3 2 2 3 3 3 3 3 4 4 5 5 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 4 3 2 1 2 3 3 4 3 2 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 3 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 3 3 2 2 2 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 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 6 7 7 8 9 10 11 12 13 13 12 12 13 14 16 15 12 9 7 6 7 8 8 7 6 5 5 6 6 7 7 7 6 6 6 6 6 6 5 4 5 7 8 8 7 4 1 2 6 6 5 5 6 6 3 3 5 9 10 4 0 3 7 12 12 10 8 7 7 5 4 4 3 3 4 7 7 5 6 2 -1 4 7 6 6 3 5 8 10 7 0 0 9 14 12 8 3 2 4 6 7 10 11 8 4 4 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 3 3 3 2 3 3 3 3 4 4 5 5 6 7 8 9 9 8 8 8 9 9 10 10 8 8 10 10 10 9 10 11 11 11 10 8 6 4 3 3 2 1 2 3 4 4 4 5 5 5 5 5 4 4 5 6 5 5 4 3 3 5 6 7 6 1 -5 -9 -6 2 6 6 6 7 8 9 11 12 13 10 4 -0 -2 -2 0 2 3 4 5 3 2 3 2 0 -1 -0 0 3 6 6 7 6 6 5 5 4 4 4 4 5 6 5 6 7 7 7 8 8 8 8 9 9 10 9 8 7 6 5 5 5 5 4 4 5 6 7 6 6 7 8 9 9 8 5 3 3 3 4 5 6 6 6 5 5 6 6 7 8 8 7 6 4 4 3 3 3 2 2 2 3 3 2 3 3 4 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 10 10 8 7 4 2 2 1 2 3 4 4 4 3 3 3 3 3 3 4 4 4 4 3 2 2 2 2 2 2 1 2 2 3 3 4 4 5 5 5 3 2 2 2 2 2 2 3 3 2 2 2 2 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 5 6 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 6 7 7 8 9 10 10 12 14 13 12 12 13 15 15 13 10 9 7 7 8 9 9 8 6 5 5 5 6 7 7 6 6 6 5 6 7 6 4 4 4 5 7 4 0 -0 -1 5 8 4 6 7 10 8 1 1 3 6 9 6 1 2 6 11 13 11 10 8 6 4 4 3 3 3 5 8 7 6 5 2 -0 3 5 4 4 4 8 10 10 6 3 5 10 14 11 6 3 2 4 5 8 12 10 6 4 4 4 4 3 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 5 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 5 6 8 11 12 12 11 10 9 8 7 6 8 10 10 10 8 7 6 6 4 3 3 3 3 4 4 5 5 4 3 2 2 2 0 -0 4 6 6 5 4 4 5 7 9 10 8 5 1 -4 0 5 5 6 6 7 7 8 10 12 12 11 6 0 -3 -5 -5 -2 1 5 4 1 1 1 1 0 1 1 2 5 6 5 4 4 6 7 6 5 5 6 6 5 6 6 7 7 6 7 7 8 8 9 9 9 9 9 8 7 7 7 6 5 4 4 4 4 5 5 6 6 7 8 9 9 8 5 4 4 5 5 5 6 7 6 4 5 5 7 7 8 7 7 5 4 4 4 3 3 2 2 2 3 3 2 3 4 4 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 10 10 9 8 5 4 3 2 1 3 4 4 4 3 2 2 2 3 4 4 4 4 5 3 2 2 2 1 1 2 2 3 3 3 4 4 5 6 6 5 5 4 3 3 3 3 3 2 2 2 2 2 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 4 4 5 5 5 4 5 6 6 7 8 9 9 10 12 13 13 12 11 12 14 13 11 9 8 7 7 8 9 9 7 6 5 5 5 6 7 6 5 5 6 6 7 8 6 4 4 4 3 5 3 3 2 1 8 7 2 3 5 11 12 2 1 2 4 7 8 4 4 6 9 13 12 11 10 7 5 4 3 3 4 5 7 7 5 5 4 2 1 3 4 5 8 9 8 9 6 5 9 12 12 9 4 3 2 3 5 10 13 9 5 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 6 6 6 7 6 6 6 6 6 5 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 2 2 3 3 4 4 4 6 7 7 9 8 6 5 5 5 5 5 6 7 7 6 7 6 6 5 5 5 4 4 4 5 6 6 5 4 2 1 0 -2 -5 -3 3 6 7 6 5 5 6 9 13 14 10 7 6 3 4 5 5 6 6 6 6 7 8 10 11 10 7 2 -3 -7 -10 -7 -3 0 1 1 2 3 4 4 5 4 5 6 5 4 3 6 7 7 6 6 10 10 8 7 7 8 6 5 6 6 7 8 8 8 8 9 9 9 9 8 8 7 7 5 4 3 3 4 4 4 5 6 7 8 9 8 6 5 5 4 4 5 6 7 7 5 4 5 6 7 8 8 7 5 5 5 4 4 4 3 2 2 3 3 3 3 3 4 5 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 5 7 8 9 9 9 8 7 4 2 1 2 4 4 3 2 1 1 3 4 4 4 4 5 4 3 3 3 2 2 2 2 3 4 4 4 4 5 7 7 7 7 7 6 5 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 3 3 3 3 3 4 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 5 5 5 5 5 6 7 7 8 9 9 10 12 13 12 11 11 12 12 11 10 8 7 7 7 8 9 9 7 5 5 6 6 7 7 7 6 5 6 7 7 7 5 4 4 3 3 4 6 9 6 3 7 9 8 6 6 11 12 6 3 3 3 6 8 6 3 2 5 10 12 11 9 8 6 5 4 4 4 4 5 7 5 5 9 7 3 3 5 8 10 8 6 6 7 8 10 12 10 7 3 2 1 3 7 12 12 7 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 6 6 6 6 5 4 4 5 6 6 6 5 6 6 5 5 4 4 3 3 3 2 2 2 2 2 3 2 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 6 5 5 5 6 5 5 5 5 6 6 7 8 8 5 4 2 -1 -4 -3 2 6 5 5 5 6 7 11 14 13 9 6 5 4 4 4 4 4 4 4 4 4 4 5 6 8 8 6 1 -5 -8 -7 -2 4 5 4 5 6 6 6 5 4 4 5 4 3 4 6 8 5 2 6 9 8 7 7 6 5 4 5 5 6 7 7 7 8 9 10 10 10 10 9 8 8 7 5 4 4 4 3 4 5 5 6 8 8 7 5 5 5 5 4 5 6 7 7 7 6 6 7 7 8 8 7 6 4 4 5 5 5 4 3 3 3 4 3 2 3 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 5 6 7 9 11 10 8 5 2 2 3 4 4 3 2 2 2 3 4 4 4 4 5 5 5 5 4 3 3 3 4 5 5 5 5 5 6 6 7 8 8 8 7 6 5 4 3 3 3 2 3 3 3 3 2 2 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 6 7 7 8 9 9 11 13 13 11 10 11 12 11 10 9 8 7 7 7 8 9 8 6 6 5 6 7 7 8 8 8 7 7 7 8 6 5 5 4 3 3 4 6 9 9 2 6 14 13 9 9 10 8 7 6 4 3 4 4 2 -2 -2 3 9 12 11 9 7 5 4 4 4 4 4 5 8 6 5 10 11 8 4 5 9 11 7 3 5 8 9 10 11 9 5 3 2 2 5 9 12 10 6 4 4 4 4 4 4 5 5 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 6 6 6 5 5 4 5 5 4 5 5 5 4 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 5 5 5 6 6 5 5 5 5 5 5 6 6 6 7 7 7 6 6 5 5 6 8 11 11 10 10 7 3 -1 -1 1 3 2 3 4 6 8 10 12 9 5 5 4 3 3 2 2 2 2 0 -0 0 0 0 2 7 9 10 9 5 3 4 6 7 6 6 6 5 5 4 2 3 4 3 2 1 5 9 6 1 2 5 6 7 6 5 4 4 4 4 5 6 6 7 8 9 10 10 10 10 10 10 9 8 7 6 5 4 4 3 4 5 6 6 7 6 6 5 5 5 5 5 5 6 7 7 7 8 7 7 8 9 8 6 5 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 4 3 4 6 9 10 10 9 7 5 3 3 3 3 3 3 2 3 4 5 5 5 5 5 6 6 6 5 5 5 5 5 6 5 5 5 5 6 7 8 9 9 9 8 7 5 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 6 5 5 4 5 5 5 4 4 5 6 7 7 7 9 10 11 13 13 12 11 11 12 10 9 8 7 7 7 8 8 8 7 6 5 6 7 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 6 8 8 2 5 11 9 8 8 8 5 5 6 5 3 3 1 -1 -2 0 7 11 11 10 9 6 4 3 2 3 3 3 5 7 6 3 4 8 7 4 5 8 11 7 2 3 8 8 7 8 7 5 4 3 4 5 8 10 8 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 5 5 5 6 5 5 6 6 6 6 7 7 7 7 8 8 7 7 6 4 3 4 7 9 9 11 9 5 2 -1 -2 -1 -2 -1 -1 3 6 6 8 8 6 6 5 4 2 1 0 -1 -2 -2 -2 -2 -1 0 2 5 9 12 14 14 11 8 6 5 5 5 6 5 4 3 3 4 4 3 2 -0 4 9 10 6 3 4 5 6 6 4 4 4 4 4 5 5 5 6 7 8 9 9 10 10 10 11 10 9 8 8 7 5 5 4 3 5 5 5 5 6 6 6 5 5 4 5 5 5 5 5 6 7 7 7 8 9 9 8 7 5 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 2 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 3 3 3 5 7 8 10 12 11 8 4 3 3 3 3 2 2 3 4 5 5 5 5 6 6 7 6 6 6 6 6 6 5 5 6 5 6 7 7 8 9 9 9 9 7 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 3 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 8 9 11 13 15 15 13 11 11 10 9 8 8 7 6 6 7 7 7 7 6 6 7 9 9 9 9 9 8 8 7 6 5 5 4 4 5 6 6 7 8 8 6 2 3 5 6 12 8 6 3 2 4 2 3 6 4 2 1 2 9 12 11 9 8 7 5 3 2 4 3 2 3 5 3 -0 -0 5 5 3 4 7 10 8 4 5 6 7 7 8 6 5 5 4 4 4 7 9 7 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 7 7 6 6 5 3 3 3 3 5 8 9 6 2 -0 -0 0 0 -1 -3 -2 2 4 6 6 6 7 6 6 4 2 1 0 -0 1 2 3 4 6 7 6 8 9 9 9 8 5 3 4 5 5 6 6 7 7 5 4 3 5 5 1 2 7 9 8 5 5 5 6 5 4 3 4 4 4 5 5 5 5 6 6 7 8 9 9 10 10 10 10 10 9 8 7 6 5 4 4 4 5 4 4 5 6 6 5 4 4 4 4 4 4 5 6 6 6 7 9 10 10 8 6 5 4 4 3 3 3 3 3 3 5 5 4 4 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 3 3 3 3 3 3 4 5 8 11 14 12 8 5 4 4 3 2 2 2 2 3 4 5 5 5 6 7 7 7 7 7 7 6 6 5 5 6 7 7 7 7 8 9 9 9 8 7 6 5 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 3 4 3 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 7 9 12 14 16 16 12 10 9 8 7 7 6 7 6 6 6 7 6 6 6 8 9 10 10 10 9 9 8 7 6 5 5 5 5 5 5 5 6 7 8 7 4 3 4 3 7 10 11 7 0 2 3 2 6 11 9 6 2 0 6 12 11 8 7 7 5 3 4 5 3 -0 2 5 2 -1 2 4 3 2 3 6 9 8 9 10 7 6 8 10 6 5 5 3 3 3 8 10 6 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 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 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 7 6 6 6 5 4 3 3 6 10 10 5 3 3 3 4 3 0 -3 -3 -1 3 4 5 5 7 8 8 6 6 6 6 5 6 7 7 8 7 5 5 5 4 4 5 5 5 5 8 8 8 8 9 9 7 6 4 6 6 3 1 5 8 9 7 5 4 5 6 5 5 4 4 4 4 5 5 5 5 5 6 6 7 8 8 8 8 9 10 9 9 9 8 8 6 5 4 5 5 3 3 5 6 6 5 4 4 4 4 4 4 5 5 6 7 8 9 10 9 8 7 6 6 4 4 3 2 2 2 4 5 5 5 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
nan nan nan nan 2 2 2 2 2 2 3 3 3 3 4 7 11 12 11 8 7 6 5 4 3 2 2 3 3 4 4 5 6 6 6 6 7 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 6 7 8 9 11 14 16 14 10 8 7 6 6 6 5 5 5 5 4 5 6 6 8 9 11 12 11 10 9 8 8 7 6 5 5 5 5 6 6 6 6 7 8 5 2 5 6 5 5 4 9 8 0 3 4 5 10 12 10 8 3 -1 5 12 12 8 7 6 4 2 6 7 3 -1 2 4 3 3 5 4 2 2 3 7 9 7 11 13 8 6 10 11 7 4 4 4 3 2 5 9 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 5 5 8 12 12 8 4 3 3 3 2 -0 -2 -3 -1 1 2 3 3 6 8 9 9 9 8 6 6 7 6 5 5 4 3 2 3 3 5 6 7 8 10 12 10 9 9 8 8 7 6 5 5 4 3 4 7 9 8 5 4 5 5 6 6 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 8 9 9 8 9 9 8 7 5 4 5 3 2 3 5 6 6 5 4 4 4 5 5 5 5 6 6 7 8 9 9 9 8 9 8 7 6 4 3 2 1 2 4 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
nan nan nan 3 2 2 2 2 2 2 2 2 2 3 3 4 6 8 10 10 9 8 8 7 6 5 4 3 3 3 4 4 4 5 5 5 6 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 5 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 6 6 6 7 7 9 12 15 14 10 7 6 6 5 5 5 5 5 5 5 5 5 5 7 9 11 12 12 12 10 9 8 7 6 5 5 5 5 6 7 7 7 6 8 8 5 3 5 7 6 4 3 5 4 2 4 6 6 8 8 8 7 3 2 6 12 12 8 7 5 3 3 5 8 4 -0 2 6 6 8 7 3 1 2 4 6 6 6 10 12 9 9 11 10 6 4 4 4 2 2 3 7 7 5 4 4 4 4 4 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 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 5 6 6 6 5 5 4 5 5 4 4 4 3 3 3 4 3 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 8 12 12 8 6 5 2 1 0 0 1 0 1 -0 -2 -2 1 3 4 5 7 7 7 7 6 5 4 4 4 3 2 3 4 5 6 7 9 11 11 9 8 7 7 7 6 6 5 4 4 4 4 5 7 8 7 5 3 4 6 7 7 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 8 9 9 7 8 10 9 7 6 4 3 2 2 4 5 6 6 5 5 5 5 5 5 5 6 6 6 7 8 9 8 8 10 11 11 10 8 5 4 3 2 3 3 3 3 3 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 3 3 3 3 3 2 2 2 2 2 3 4 5 7 8 8 8 8 8 9 8 6 4 3 2 3 4 4 4 4 4 5 6 6 7 7 7 7 7 6 6 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 5 4 5 5 5 6 6 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 7 8 7 7 8 11 16 17 11 7 6 5 5 5 5 5 5 5 5 5 5 5 5 7 9 12 12 12 12 11 8 7 6 5 5 5 5 6 7 8 8 8 6 6 7 6 7 6 5 6 5 4 4 1 3 9 10 5 2 2 4 5 2 3 8 14 12 8 8 5 2 2 5 6 3 1 3 8 9 11 9 5 1 2 4 5 4 3 8 10 10 12 11 8 5 4 5 4 2 2 4 8 9 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 4 4 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 6 7 8 8 7 7 9 12 13 12 10 8 6 3 2 1 2 2 0 -0 -1 -1 1 2 3 5 6 6 6 5 4 4 4 5 5 4 4 4 5 7 9 10 10 9 7 6 6 6 6 6 6 5 5 5 5 4 4 5 6 7 6 4 3 5 8 8 6 5 5 4 4 4 3 4 4 3 4 4 3 3 3 4 5 6 7 10 7 6 10 10 9 9 6 4 3 3 3 3 5 6 7 7 6 5 5 4 4 5 6 7 8 8 9 8 7 8 10 12 13 12 10 7 5 4 4 3 2 2 2 1 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 4 4 3 2 2 2 2 2 2 3 3 4 6 6 6 5 7 8 8 7 5 3 2 3 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 6 5 5 5 4 4 5 4 4 4 4 4 3 4 4 5 5 5 5 6 6 6 6 6 5 4 4 3 4 4 4 4 4 4 5 4 4 4 4 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 5 4 4 4 4 4 5 5 5 5 6 6 6 8 9 8 8 9 19 26 18 6 4 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 11 12 12 11 10 8 6 5 5 5 4 6 7 7 7 8 9 6 3 5 6 8 6 2 4 5 4 4 2 4 10 10 4 1 1 2 4 3 2 7 15 14 9 8 4 1 1 5 4 -0 -0 4 8 8 9 10 7 2 3 6 7 5 3 5 9 12 13 10 7 5 5 5 4 3 2 5 11 11 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 5 6 6 7 7 8 10 11 11 12 14 13 10 7 6 4 4 4 4 3 3 4 5 6 6 7 6 5 4 4 4 4 4 6 8 7 6 8 9 10 10 9 7 6 5 5 6 6 6 6 6 5 5 4 4 4 4 5 7 7 5 5 5 7 8 7 5 5 4 4 4 3 3 3 3 3 4 3 3 3 3 4 4 5 7 8 7 8 9 10 10 9 7 6 4 3 2 3 5 7 7 7 6 5 4 4 4 5 7 8 9 9 8 7 6 8 10 13 13 13 11 9 7 7 6 5 3 2 1 -0 -1 -1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 5 5 4 4 4 5 6 6 6 5 3 3 4 4 5 5 5 4 4 4 4 5 5 6 6 7 8 8 7 6 5 5 4 4 4 5 4 4 4 3 4 4 5 5 5 5 6 6 6 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 4 4 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 5 5 4 4 5 4 5 4 5 5 4 4 4 4 4 5 6 6 6 6 6 7 9 10 9 10 14 28 26 6 0 4 4 3 5 6 5 5 4 4 5 5 5 6 7 8 10 11 11 11 11 10 8 5 4 4 4 5 7 7 5 5 7 10 9 6 7 5 4 3 2 4 4 4 4 3 3 5 7 6 4 3 1 2 6 5 7 15 17 12 8 4 -0 1 5 5 -1 -2 3 6 5 4 9 7 3 5 8 8 7 5 3 7 16 17 9 6 5 5 4 5 4 3 7 13 12 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 3 3 3 4 4 5 5 4 5 5 4 4 4 4 5 5 5 5 5 6 7 7 8 9 11 13 13 12 12 10 8 9 8 6 6 6 7 7 9 9 9 7 7 7 5 6 6 6 9 9 8 7 8 9 8 8 6 4 4 3 3 4 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 6 6 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 5 6 7 8 9 10 11 10 9 7 5 3 2 4 5 6 6 6 7 6 5 5 5 6 6 8 9 9 8 6 5 7 9 11 12 12 11 10 9 9 8 6 4 3 1 -0 -2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 5 5 4 4 4 5 5 4 4 4 3 3 3 3 4 5 5 5 4 3 3 4 4 4 5 5 4 4 4 5 5 5 5 4 4 3 4 4 5 5 6 7 9 8 8 7 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 6 7 7 7 6 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 5 6 6 6 6 6 6 7 10 11 11 13 19 24 12 -5 -2 5 1 -1 3 7 7 5 4 4 4 5 6 6 7 9 10 11 11 10 10 10 7 4 3 3 4 5 7 7 5 6 8 10 10 9 7 6 4 3 5 5 5 6 4 2 1 0 2 7 10 8 2 0 5 8 9 15 17 14 11 8 3 3 4 3 0 -1 1 4 4 4 7 5 3 8 9 6 6 6 2 6 19 21 12 5 1 2 5 8 10 7 8 14 13 6 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 5 4 4 4 4 4 5 4 4 3 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 4 3 3 4 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 8 10 10 10 10 9 10 13 12 10 10 9 10 11 11 12 12 11 11 11 10 9 6 5 7 6 5 6 6 6 5 4 3 3 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 6 7 7 6 5 5 6 7 5 3 2 2 3 3 3 4 4 4 3 3 3 4 3 3 3 4 4 5 7 8 9 10 11 11 9 7 5 3 3 4 5 5 6 6 7 7 7 6 5 6 7 8 9 9 7 6 6 6 7 8 9 9 9 8 9 10 11 9 7 6 3 -0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 4 3 3 3 4 4 5 5 5 4 4 3 4 4 5 6 7 5 4 3 2 3 3 4 5 5 4 5 5 5 6 6 5 4 3 3 3 3 3 4 6 7 8 8 8 7 7 7 7 7 6 5 5 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 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 4 4 4 4 5 6 7 6 6 6 6 8 10 12 13 16 18 15 4 -5 -2 3 -3 -6 1 8 9 6 4 4 4 5 6 6 7 9 11 11 11 11 11 10 7 4 4 4 4 5 7 8 7 8 7 8 9 5 1 6 9 7 8 6 5 5 2 3 3 -0 -0 6 12 11 6 2 3 7 11 14 15 14 13 14 10 5 2 1 -0 1 4 4 2 4 5 2 2 9 10 4 3 6 2 6 19 21 12 4 -2 -3 2 10 17 12 9 14 12 6 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 3 4 5 5 5 5 5 5 5 4 3 2 1 1 2 2 2 3 4 3 3 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 3 4 5 4 5 6 6 5 5 5 5 5 5 5 5 5 5 7 10 13 13 12 12 11 11 9 10 10 9 10 9 8 8 5 4 4 5 5 5 5 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 7 8 7 5 5 6 7 6 4 2 2 3 3 3 3 3 3 2 2 3 3 2 3 3 3 3 4 5 6 7 9 11 12 12 10 7 5 4 4 4 5 6 6 6 7 8 7 6 6 7 7 9 10 10 8 6 5 4 5 5 6 6 7 9 10 12 12 10 10 11 8 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 2 2 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 6 7 8 7 5 3 2 3 3 4 4 4 4 5 6 7 8 7 5 4 3 2 2 3 3 4 5 6 7 6 6 6 7 7 7 7 6 6 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 4 5 5 5 4 4 4 4 5 6 7 7 7 6 6 7 9 11 13 16 18 17 11 1 -6 -4 -2 -5 -6 0 9 12 9 5 4 4 5 6 7 8 9 11 11 11 11 11 9 7 4 3 4 5 5 6 8 8 7 8 11 9 1 -2 5 11 11 13 8 2 2 1 4 4 0 -2 2 7 10 11 8 4 6 11 13 12 11 12 12 11 7 2 -1 0 5 9 4 1 2 3 2 1 7 10 6 4 5 4 7 17 18 10 4 -3 -5 -0 11 21 15 11 15 11 7 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 3 3 3 4 4 5 4 4 4 3 5 5 5 5 4 4 4 5 6 6 5 3 2 2 2 2 3 3 3 3 3 4 4 3 3 4 5 5 5 5 5 5 4 3 2 2 4 4 5 5 5 5 5 5 4 4 4 5 4 3 3 3 4 5 7 8 8 9 7 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 4 3 2 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 6 5 4 6 6 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 5 6 7 9 11 12 11 9 7 5 4 4 5 7 6 6 7 7 7 7 7 6 7 9 11 11 9 7 5 4 4 4 4 4 5 7 9 10 11 11 11 13 15 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 3 3 3 2 3 3 3 3 3 4 5 6 5 5 4 4 4 4 5 6 8 9 9 6 4 4 4 4 4 4 3 4 5 6 7 8 7 5 4 3 2 2 2 2 3 4 4 5 4 4 5 5 6 6 7 6 6 5 4 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 8 8 6 5 6 7 10 13 16 19 19 14 8 -0 -7 -8 -7 -4 -2 4 9 12 11 8 6 6 7 8 7 7 8 10 10 11 11 10 8 6 3 2 3 5 5 5 6 8 7 4 6 4 2 3 6 9 10 14 11 -0 -0 3 6 5 2 -2 -2 1 7 11 11 8 8 12 13 9 8 8 7 6 7 3 -1 3 9 9 7 6 2 3 4 1 5 10 11 9 11 12 10 14 19 12 4 -3 -6 1 13 20 15 11 16 13 7 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 3 3 4 5 6 8 8 7 5 3 2 2 2 3 4 4 4 4 4 3 4 5 5 5 5 5 5 5 3 2 2 2 3 3 4 4 4 5 5 4 4 4 5 6 5 4 4 3 3 4 4 4 4 5 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 3 3 2 2 2 2 3 4 5 6 5 5 5 4 4 4 4 4 4 4 5 6 6 6 7 8 5 3 4 6 6 5 4 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 7 9 11 13 12 9 6 4 4 5 7 7 6 6 6 6 7 7 6 7 8 9 10 9 7 6 5 4 4 4 3 4 6 9 10 11 11 10 10 11 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 4 3 3 3 3 3 3 3 4 4 4 5 6 6 5 5 5 5 5 5 5 6 9 11 10 8 5 5 5 4 4 4 3 3 5 7 8 9 8 6 5 3 2 2 1 2 3 3 2 3 2 2 2 3 4 4 4 4 3 3 2 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 8 7 6 5 6 7 11 16 20 22 19 14 10 2 -7 -11 -8 -2 3 8 10 12 11 10 8 8 9 9 8 7 8 9 10 10 10 9 7 5 3 3 4 5 4 2 2 7 10 6 -1 -2 6 9 7 7 7 11 12 3 1 5 7 5 2 -1 -2 1 6 9 9 10 12 15 14 8 5 5 3 1 3 3 1 5 8 6 12 14 6 4 3 1 3 7 10 15 21 20 13 18 26 18 4 -3 -5 3 14 17 12 11 17 13 6 5 4 4 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 5 5 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 5 6 7 7 6 5 3 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 6 6 5 5 4 3 3 3 3 3 3 4 5 5 6 6 6 6 5 5 5 4 4 4 4 5 6 6 6 7 7 6 4 4 4 5 6 5 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 6 9 12 14 12 9 5 4 5 6 7 7 6 5 6 8 7 6 7 7 8 8 9 8 7 7 7 6 3 3 3 5 7 10 11 10 10 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 3 3 4 5 6 7 7 7 6 5 5 5 5 5 5 7 9 11 11 7 5 5 5 4 3 3 2 3 5 6 8 9 9 7 5 4 3 2 2 1 1 1 1 1 1 2 2 3 3 3 3 3 3 2 2 2 1 2 2 3 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 5 5 5 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 6 6 7 7 6 5 5 5 9 17 23 23 20 16 14 9 4 -5 -9 -5 1 6 9 10 11 11 10 9 9 10 10 9 8 8 9 9 9 9 7 5 4 5 5 5 5 5 5 4 -2 -3 6 6 1 6 8 6 7 8 7 6 5 4 6 4 1 1 0 1 6 10 10 9 10 13 15 14 9 4 2 -0 -0 -1 1 2 4 3 3 14 18 9 3 2 1 2 2 7 15 21 18 18 31 35 20 5 -3 -3 4 13 14 10 12 19 14 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 6 6 6 4 2 2 2 3 3 4 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 3 3 2 2 2 3 4 4 4 4 4 4 5 5 4 4 3 3 4 5 5 5 5 4 4 4 4 4 6 6 7 7 7 7 7 6 5 4 3 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 4 3 2 3 4 5 6 6 6 6 6 6 5 5 5 5 5 4 4 3 2 2 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 4 6 9 13 15 13 8 5 4 5 6 7 5 5 7 8 8 7 7 7 7 7 8 8 8 8 8 6 3 2 2 3 5 8 10 9 8 7 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 4 4 4 4 4 3 3 4 4 6 7 8 8 7 5 4 5 5 5 5 6 7 9 9 7 5 5 4 4 3 2 2 2 3 4 5 7 8 7 6 6 5 4 3 1 0 -1 -1 0 1 2 2 3 3 3 3 4 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 5 4 4 4 5 4 5 5 5 5 5 4 3 4 5 6 7 7 6 6 6 6 7 14 26 30 20 10 10 11 7 4 -4 -6 -1 5 8 9 10 10 10 9 9 10 11 12 11 9 8 9 9 9 9 6 4 5 6 6 5 4 5 8 8 1 -5 0 5 3 4 5 5 9 11 6 2 4 7 7 0 -2 0 1 4 9 13 13 10 8 10 14 15 11 5 1 0 1 -0 0 3 3 -1 -1 11 14 9 3 1 2 -0 -3 1 10 14 14 25 39 36 18 4 -2 -1 6 11 11 8 10 18 15 5 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 2 2 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 6 6 7 6 5 3 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 3 3 2 2 2 3 4 4 4 4 4 4 4 4 5 4 3 3 4 6 6 5 4 4 4 4 4 5 6 7 7 7 8 7 6 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 6 6 1 0 3 4 5 6 6 6 5 5 5 6 6 5 6 5 5 3 2 1 1 1 1 1 0 1 1 2 2 2 3 3 4 4 3 3 3 3 4 6 9 14 16 12 7 5 4 5 5 4 5 6 7 6 7 7 6 6 6 7 7 8 8 6 4 6 5 3 2 3 5 7 8 7 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 4 3 3 3 4 6 8 8 7 6 4 4 4 5 5 5 6 7 7 6 5 4 4 4 3 2 2 2 2 3 3 4 5 6 6 6 6 6 6 4 3 2 1 1 2 2 3 4 4 5 5 5 4 4 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 7 6 6 7 8 12 21 32 28 11 3 5 7 5 -0 -4 -2 4 7 8 8 8 9 9 9 9 9 12 13 13 11 10 10 10 9 7 4 4 6 5 5 4 4 6 7 6 6 6 2 1 2 2 4 6 11 14 11 6 5 7 6 -2 -3 1 2 6 10 14 16 10 2 3 14 20 16 8 4 4 5 3 3 6 6 -1 -4 3 7 7 4 1 -1 -2 -7 -7 2 9 14 30 40 31 14 3 -1 3 7 9 9 8 10 17 15 6 4 5 5 5 4 5 5 5 4 4 5 5 4 4 4 4 4 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 6 9 9 9 9 8 6 4 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 5 6 6 5 4 3 4 4 5 5 6 7 7 7 7 6 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 4 5 8 7 2 2 4 4 5 6 6 6 5 4 4 5 5 6 6 6 6 4 2 1 0 0 1 2 -0 -0 1 2 2 2 2 3 4 4 4 4 3 3 3 4 5 10 14 14 11 8 6 4 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 6 6 7 7 4 2 2 4 6 6 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 4 4 4 4 3 2 1 2 4 5 7 7 6 4 4 4 5 5 6 6 7 7 6 5 4 3 3 3 3 2 2 2 2 2 3 3 4 4 5 6 7 8 9 9 8 6 4 2 2 4 4 5 5 5 5 5 5 5 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 8 7 6 8 10 13 17 25 28 18 6 2 3 2 -2 -6 -2 3 7 7 7 7 7 8 8 8 9 9 11 13 14 12 10 10 11 9 5 3 3 4 4 3 4 6 7 10 10 4 1 -1 -1 2 3 5 8 12 15 15 13 9 5 0 -6 -5 2 5 7 9 14 20 12 -4 -4 13 24 20 12 9 10 9 5 6 10 9 1 -4 0 6 8 7 0 -6 -2 -1 -6 -3 5 14 29 34 24 12 4 1 5 7 7 7 8 11 16 14 7 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 2 2 3 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 3 3 3 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 3 3 2 3 4 6 7 8 9 11 11 9 5 4 4 5 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 5 4 4 4 5 5 5 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 5 6 5 4 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 6 6 6 5 4 4 6 8 7 4 4 5 4 5 5 6 7 5 4 4 4 4 5 5 8 9 6 3 2 2 1 3 5 4 1 1 2 2 3 3 3 4 4 4 4 4 4 3 3 4 7 10 13 13 10 8 6 5 5 5 4 4 3 5 6 6 7 7 8 9 9 8 9 10 8 7 6 4 3 4 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 4 2 1 0 -0 1 3 5 6 6 5 4 4 4 5 6 6 7 7 7 6 5 4 3 2 2 2 2 3 3 3 3 3 3 3 4 6 7 9 10 11 10 9 6 4 3 3 4 4 4 4 5 5 6 6 5 3 2 2 3 2 2 2 2 2 2 3 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 4 3 3 3 4 4 4 5 5 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 8 9 8 8 11 13 15 16 19 17 9 3 3 3 -2 -4 -3 2 6 6 5 5 6 6 7 8 9 9 9 10 13 15 13 10 9 9 7 5 3 2 2 3 -0 3 7 5 10 17 8 -4 -4 -0 2 5 7 10 12 13 13 12 10 4 -4 -7 -4 2 6 7 8 12 19 16 0 -4 11 25 22 13 10 10 9 4 2 7 9 4 -2 0 9 13 12 2 -7 -2 6 3 3 7 18 27 26 18 10 5 3 4 5 6 7 7 12 17 12 6 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 4 4 5 4 4 5 8 10 11 9 7 6 5 4 4 5 6 6 5 4 3 2 2 2 2 3 3 3 3 3 4 4 4 5 6 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 5 4 5 4 4 7 8 6 5 5 5 4 5 6 6 6 5 4 4 4 3 4 6 10 9 5 5 5 5 6 7 7 5 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 5 7 10 12 11 9 8 8 8 7 6 4 3 4 5 5 6 7 8 9 9 9 11 11 11 8 8 7 5 5 5 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 nan
nan 6 7 6 6 5 5 4 4 3 3 2 -0 -1 1 3 5 6 5 4 4 5 6 6 6 6 7 8 8 7 5 3 2 1 1 1 2 2 2 3 3 3 4 5 6 8 8 8 8 8 7 6 4 4 4 4 3 3 3 4 4 6 7 7 5 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 5 6 7 10 11 8 10 12 13 13 12 12 10 5 2 4 3 0 1 3 4 5 4 5 4 5 5 6 8 9 10 9 10 12 15 14 10 8 7 6 3 0 -1 2 3 -3 -2 2 0 4 12 10 2 -1 1 3 7 8 9 10 9 6 4 4 3 -2 -4 -1 2 6 8 8 8 13 17 11 6 14 24 20 11 6 6 8 4 -2 1 8 7 -0 0 8 14 13 6 -2 -2 7 14 16 14 20 24 21 13 8 4 1 2 4 6 7 7 12 17 12 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 3 4 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 4 5 6 5 5 3 2 1 2 5 8 9 8 7 6 5 5 5 6 6 5 3 2 1 1 2 2 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 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 5 4 4 5 5 5 3 3 4 5 5 5 5 5 4 5 8 7 6 5 5 5 4 5 6 6 6 6 5 4 4 3 4 6 7 6 6 6 6 8 9 9 7 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 7 10 11 10 8 9 11 11 8 6 4 3 3 4 5 7 8 8 8 9 9 8 10 11 12 12 10 8 8 8 8 8 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 6 7 6 5 4 4 3 4 5 6 4 2 -0 -0 1 3 5 5 4 3 4 6 7 8 7 7 7 8 8 7 5 3 1 0 1 2 2 2 3 3 4 4 5 7 9 9 7 5 5 5 4 4 4 3 3 2 2 2 3 3 5 7 8 7 6 4 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 8 11 13 10 10 11 10 10 10 11 10 9 7 5 4 4 5 5 4 4 4 4 4 4 5 7 8 9 10 9 9 12 16 14 9 6 6 5 3 0 -1 2 3 -1 -6 -7 -3 4 8 11 8 3 1 5 8 6 7 8 3 -1 -2 -1 4 6 3 1 2 5 8 8 7 9 14 19 20 22 22 15 7 3 5 8 4 -1 2 8 7 3 3 6 9 11 8 3 -2 3 17 24 21 20 16 10 5 4 2 0 3 6 7 8 9 12 16 12 5 4 5 6 5 5 4 4 5 5 5 5 5 4 3 2 2 3 5 6 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 3 4 5 5 6 5 4 3 2 0 -1 0 2 4 5 5 5 5 4 4 4 4 4 2 1 1 1 2 3 3 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 5 7 6 4 3 4 4 5 6 6 5 5 6 6 5 5 5 5 5 4 4 6 6 7 7 6 5 4 4 4 4 5 5 5 4 5 7 9 10 9 8 6 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 6 9 9 8 9 11 12 12 9 5 3 3 3 4 5 6 7 7 7 6 6 6 10 14 14 12 9 10 10 9 9 9 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 3 3 4 4 5 7 7 5 2 1 1 2 4 5 5 4 4 5 7 8 8 7 7 7 8 8 8 6 4 2 1 1 2 2 3 4 4 4 5 7 9 10 9 7 5 4 4 4 3 2 2 2 2 2 2 3 4 5 8 9 9 6 4 3 2 2 1 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 7 9 12 13 10 8 8 8 10 11 13 14 15 10 4 3 5 5 4 3 3 3 3 4 5 6 8 8 9 10 10 10 13 15 13 8 6 6 5 3 1 0 3 5 1 -5 -5 1 7 7 6 3 2 4 9 6 1 4 5 0 -1 -1 -1 5 12 9 2 0 3 5 7 9 10 13 23 30 28 18 7 2 6 9 8 3 4 9 10 8 9 7 4 5 8 8 5 -2 -5 10 25 24 15 5 -4 -2 2 1 3 9 10 8 9 10 11 15 12 6 5 5 6 5 4 4 5 5 5 5 5 5 3 2 2 2 4 5 6 6 6 5 5 5 5 4 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 3 4 4 4 4 3 3 3 2 2 2 3 4 5 6 6 6 5 4 4 4 3 3 1 -0 -1 -0 0 1 2 2 1 2 2 2 1 2 2 2 2 2 3 4 4 5 5 6 6 7 6 6 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 1 1 0 -0 -0 0 1 1 2 3 3 4 5 7 8 6 4 3 4 6 7 7 6 7 7 6 5 4 4 5 5 4 3 4 6 7 7 7 6 6 5 4 4 4 4 4 4 4 4 5 8 9 9 9 8 7 5 4 3 3 3 3 3 4 4 4 5 5 3 3 4 5 6 7 7 9 12 13 12 9 5 3 2 2 3 4 6 6 5 5 5 5 6 10 12 11 9 10 10 8 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 5 4 3 2 2 2 3 4 5 6 7 7 5 4 4 3 4 5 5 4 3 4 6 7 9 8 7 6 6 7 9 11 9 5 3 2 2 2 3 4 4 5 5 5 8 11 12 9 6 4 3 3 2 2 1 1 2 2 3 4 4 5 7 9 10 9 6 4 3 2 2 2 1 1 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 6 6 6 7 9 11 12 12 9 7 8 8 10 12 13 16 14 8 2 2 3 3 3 3 3 2 3 4 6 8 8 9 10 11 11 11 13 16 13 9 7 6 5 3 -0 0 5 6 4 4 5 6 5 -2 -3 -3 1 8 13 4 -2 3 3 1 6 6 2 3 9 8 2 -1 -2 1 7 12 13 15 22 30 25 10 -1 2 11 13 6 3 11 17 11 8 11 8 5 8 9 8 7 3 -4 9 27 22 10 -3 -9 -1 4 4 9 14 12 9 10 9 10 15 14 7 5 6 6 5 4 4 5 5 6 5 5 5 3 2 3 4 4 5 6 6 6 6 6 5 5 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 2 2 3 4 5 7 8 7 5 4 3 3 3 3 3 3 2 1 1 0 0 1 1 1 1 1 1 1 2 3 4 4 4 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 3 3 3 3 2 2 2 2 3 3 3 2 2 1 1 0 -0 -1 -1 -1 -1 -0 1 2 3 4 5 6 7 7 5 4 5 7 8 8 7 7 7 8 8 6 5 5 5 4 3 3 5 6 7 7 7 6 6 6 5 5 4 5 5 5 4 3 5 6 7 9 9 8 5 4 3 3 3 3 3 4 4 5 5 4 4 4 3 2 3 4 5 8 11 13 14 13 8 4 3 2 2 3 4 4 4 5 6 4 5 6 8 8 7 7 7 7 6 5 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 2 2 2 2 3 3 3 4 5 6 7 7 6 4 5 5 5 3 3 4 6 8 8 7 7 5 5 7 11 12 10 6 3 2 2 2 3 4 4 5 5 6 8 11 11 8 5 4 2 1 1 2 2 2 3 3 4 4 5 6 9 10 11 9 5 3 2 2 2 2 1 1 1 1 1 2 2 2 3 3 3 3 4 5 5 5 5 5 5 5 4 3 3 3 3 4 5 5 6 6 5 5 5 4 4 5 5 4 4 4 5 4 5 5 6 6 7 6 9 12 12 10 9 7 7 8 9 10 12 12 12 7 2 0 1 2 2 3 2 2 3 4 6 8 9 9 10 11 12 12 12 15 16 13 9 7 6 5 2 0 0 2 3 6 12 10 5 -1 -5 -5 -2 2 12 14 2 -0 3 3 7 13 10 4 4 7 5 1 -1 -4 0 7 11 15 19 20 21 16 5 -2 6 16 13 4 4 11 14 9 5 6 6 9 12 10 6 10 16 9 18 29 20 6 -7 -8 4 10 11 16 16 12 10 10 9 10 15 14 7 5 6 6 5 4 4 5 6 6 5 5 4 3 3 3 4 5 5 5 5 6 6 6 5 5 5 4 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 4 3 2 2 3 4 5 7 7 6 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 5 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 3 3 3 3 3 2 1 1 2 2 2 2 2 2 2 1 1 0 -1 -1 -1 0 2 2 2 3 5 6 6 6 6 6 7 7 9 9 7 5 5 8 10 8 7 6 5 4 4 3 4 5 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 4 5 7 8 7 5 3 3 3 3 3 3 4 5 5 5 5 5 4 3 3 3 4 5 6 8 12 16 16 13 8 5 3 2 2 2 2 3 4 5 4 4 4 4 4 4 5 6 5 5 4 4 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 1 1 2 2 2 2 2 2 2 4 8 11 9 5 4 6 5 4 3 4 5 5 6 7 7 6 5 5 7 11 12 8 5 4 2 1 2 3 3 4 4 5 5 7 9 10 8 5 3 2 1 2 2 3 3 3 4 4 5 5 7 9 11 11 8 3 2 2 1 1 1 1 0 0 0 1 1 1 2 2 3 3 4 4 5 5 6 5 5 4 4 3 3 3 3 4 4 5 5 6 6 5 5 5 5 5 4 4 4 4 5 4 4 5 6 7 7 6 8 12 11 8 6 7 7 8 9 9 9 11 10 5 -0 -0 2 3 3 3 3 3 4 7 9 11 12 11 11 11 12 13 14 14 14 11 7 5 5 5 3 3 2 0 -1 4 11 9 3 -1 -1 0 1 4 13 11 2 3 4 6 14 17 9 4 5 5 5 6 2 -3 -0 4 5 12 19 19 18 14 5 4 15 19 11 3 -1 -0 2 3 1 0 5 12 14 8 1 10 23 18 21 27 17 3 -8 -3 14 18 17 18 15 12 9 9 8 9 13 14 8 5 6 6 5 4 4 5 6 6 5 4 4 4 3 4 5 5 5 5 5 5 6 6 5 5 5 4 4 5 5 5 4 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 4 4 4 3 3 2 2 3 3 4 4 3 2 2 3 4 5 5 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 3 3 3 3 2 2 2 2 2 2 2 3 3 4 5 4 3 1 1 1 1 4 5 4 3 4 6 6 6 6 6 6 6 7 9 11 8 3 3 7 9 9 9 8 7 6 4 3 3 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 6 6 4 3 3 3 3 3 3 4 5 6 6 5 5 4 4 4 4 4 5 5 6 10 16 20 17 12 8 5 2 2 1 1 2 3 4 4 3 3 3 2 2 4 5 6 5 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 5 4 3 2 2 2 2 2 2 2 2 1 3 7 12 12 7 4 5 5 4 3 3 3 4 5 6 6 5 4 4 4 7 10 9 6 4 2 1 1 2 3 5 5 4 3 4 6 7 9 7 4 3 3 2 3 3 3 3 3 4 4 5 6 7 10 12 11 6 3 1 1 0 0 1 -0 -1 -1 -0 0 0 0 1 2 3 3 3 4 5 5 5 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 7 7 6 5 10 12 8 7 8 9 9 9 9 9 11 11 5 -0 0 2 3 3 3 3 4 6 9 12 13 13 13 11 11 14 16 15 12 9 7 5 2 5 7 3 4 7 6 3 5 8 6 3 2 3 3 2 3 7 4 1 6 6 7 17 15 5 3 2 0 7 11 6 -2 -3 -1 1 6 13 21 25 19 13 16 21 17 8 -2 -11 -10 -2 2 1 -2 2 9 10 5 2 8 14 12 19 25 15 2 -5 5 21 23 18 16 13 9 8 9 8 8 11 15 10 5 6 5 5 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 4 3 3 4 4 3 3 4 5 5 5 4 4 3 3 2 2 3 4 5 6 5 3 2 2 3 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 6 5 5 4 3 3 3 2 2 2 3 3 3 3 3 5 6 9 9 6 4 2 2 2 3 7 10 8 6 6 6 6 6 5 5 5 5 5 8 11 10 5 4 6 6 7 8 9 10 9 7 5 3 3 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 5 5 5 4 3 3 3 3 4 4 5 5 6 6 6 5 5 4 4 4 5 5 5 4 8 15 19 19 15 11 8 4 2 1 1 0 1 3 3 2 2 2 2 2 3 5 5 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 4 3 3 3 3 2 2 2 2 2 2 6 12 13 8 5 4 4 4 3 3 3 3 3 4 4 4 3 3 3 4 6 8 6 4 1 1 1 3 4 5 5 4 3 3 3 4 5 6 6 4 3 3 3 3 3 2 2 3 4 5 5 6 8 11 13 11 6 2 0 -0 -0 -0 -0 -1 -0 -1 -1 -0 -0 0 1 1 2 2 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 6 6 6 5 4 8 11 10 9 9 10 10 10 10 11 13 10 4 1 1 2 3 3 3 4 5 7 9 11 13 15 14 11 11 14 17 16 11 6 4 4 3 6 8 -1 -1 7 8 8 7 6 4 2 3 4 5 4 5 7 4 2 4 4 6 12 7 -0 4 5 3 8 11 4 -4 -7 -3 2 5 13 26 32 25 19 21 18 9 2 -5 -9 -4 5 8 2 -3 1 6 4 1 4 7 4 6 21 26 15 3 -1 9 21 21 16 13 9 7 8 8 7 7 12 17 11 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 4 5 5 4 5 5 6 5 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 3 3 3 4 5 5 4 4 4 3 2 2 3 5 6 7 7 5 3 3 5 6 6 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 6 5 5 6 6 5 5 6 6 6 6 6 7 7 8 8 8 8 7 6 6 5 5 4 3 3 2 2 2 3 4 5 5 4 4 5 8 10 9 6 4 3 1 1 4 10 13 10 7 6 6 5 5 4 4 4 4 5 7 10 10 7 7 7 6 5 7 9 11 11 10 7 5 4 4 4 4 4 3 4 4 4 4 5 5 6 7 7 8 8 7 6 5 5 4 4 3 3 3 4 4 5 5 6 6 6 5 5 5 4 4 5 5 5 5 6 11 16 19 18 15 11 7 4 3 2 0 0 1 2 2 1 2 2 2 3 3 3 3 3 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 10 8 6 6 7 6 6 5 4 4 4 3 5 11 13 9 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 4 5 5 3 1 1 2 3 5 5 5 5 4 4 3 3 4 5 6 5 4 3 3 2 2 2 3 3 3 4 5 6 6 10 14 14 10 5 1 -1 -1 -0 -0 -0 0 0 0 0 0 0 1 1 1 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 4 4 5 6 6 6 5 4 4 6 12 15 10 10 11 11 10 10 10 10 6 2 2 2 3 4 4 4 4 5 7 8 9 13 16 13 10 10 15 18 17 11 5 3 4 5 6 5 0 4 5 3 6 5 2 0 1 2 5 7 7 10 16 18 12 5 3 4 4 -1 -1 8 11 9 11 12 4 -6 -6 2 9 13 19 28 29 18 11 13 9 2 -0 -6 -9 3 18 16 2 -2 4 4 -2 -0 4 6 2 9 26 30 16 2 1 10 17 18 14 10 6 6 8 7 6 8 13 14 8 6 6 5 5 6 6 5 5 5 4 3 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 5 4 4 4 5 5 5 4 4 3 3 4 3 3 3 4 5 5 4 4 3 2 2 2 5 7 9 9 7 5 4 5 9 10 7 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 6 6 7 7 8 8 8 8 7 7 6 6 5 4 4 3 3 3 2 2 4 5 5 6 5 4 5 8 7 4 4 3 2 1 0 6 13 14 10 6 5 5 5 5 4 5 5 4 5 6 8 8 8 8 7 6 5 6 9 13 12 10 10 8 6 4 3 3 3 2 2 3 3 3 4 5 5 5 7 7 8 8 7 6 6 5 4 4 3 3 3 4 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 8 13 17 18 16 13 10 8 8 7 3 1 1 1 2 2 2 2 2 2 1 1 2 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 10 9 9 11 12 12 11 10 8 6 4 4 6 9 9 6 4 4 5 5 5 5 5 4 3 3 3 3 3 2 2 3 3 3 2 1 1 3 3 4 4 4 5 5 5 4 4 4 5 5 5 4 4 3 2 2 2 3 3 3 3 4 5 6 8 12 15 15 10 4 1 -0 -0 0 0 1 1 1 1 1 1 1 1 1 2 3 3 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 5 5 4 4 5 6 6 6 5 4 4 4 7 16 17 12 11 12 11 10 10 8 5 2 1 2 3 4 4 3 3 4 5 6 7 10 14 15 11 9 12 17 19 17 11 6 3 4 5 3 1 4 6 3 1 4 2 -2 -1 1 4 6 8 8 8 13 20 18 10 5 2 1 -1 2 8 9 7 11 14 7 -1 0 7 14 19 21 19 12 2 -2 6 7 2 2 -8 -18 0 26 21 4 1 4 -3 -7 2 7 4 5 15 29 31 17 2 3 12 16 15 11 8 6 7 8 6 5 8 11 9 7 8 9 7 5 6 7 6 5 5 4 3 4 5 5 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 4 3 3 3 2 1 3 6 9 12 12 9 6 6 8 10 10 7 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 7 6 6 6 5 5 5 5 5 6 7 8 8 8 9 8 7 7 6 6 6 5 5 4 4 4 4 4 4 6 7 7 6 6 6 7 9 6 3 3 3 3 2 3 9 14 13 8 5 5 4 4 4 5 4 5 5 5 6 6 7 7 7 7 6 5 6 9 13 13 11 12 11 9 7 5 3 2 2 2 2 2 3 4 4 4 4 5 6 7 8 8 7 6 5 4 4 4 4 4 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 6 10 14 16 16 14 13 13 14 13 9 5 2 2 1 2 2 2 2 2 1 1 1 2 3 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 10 13 15 16 15 15 14 9 5 3 2 3 5 6 4 4 5 5 5 5 6 5 5 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 4 5 5 5 5 4 4 5 4 4 4 3 3 2 3 3 3 3 3 4 4 6 7 9 13 15 14 9 4 1 0 1 1 1 1 1 2 2 2 2 1 1 2 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 6 6 6 5 4 4 4 8 17 18 13 13 13 12 11 10 6 2 1 1 2 3 4 4 4 4 4 5 6 8 13 15 12 10 11 17 20 20 16 10 5 3 4 4 1 2 5 1 3 7 6 -0 -3 0 4 7 7 8 7 2 2 8 11 8 4 -0 0 2 3 2 4 5 5 5 4 4 5 6 14 20 18 10 1 -6 -6 5 8 2 4 -2 -17 -2 21 18 7 1 -4 -6 -3 4 7 4 8 19 29 27 14 3 5 13 16 12 10 7 6 7 7 5 5 7 9 8 7 8 12 9 5 7 7 6 5 5 4 4 5 5 5 5 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 5 5 4 3 3 4 4 4 4 3 3 3 3 4 4 4 3 3 3 2 2 2 5 9 13 15 13 11 10 11 9 7 5 6 6 5 5 4 4 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 6 7 6 6 6 6 5 5 5 4 5 5 7 7 8 9 9 9 9 9 7 6 6 7 6 6 5 5 6 6 6 6 7 8 9 8 7 7 7 10 12 7 4 4 4 5 5 8 13 15 11 5 4 4 4 4 4 4 4 4 4 5 5 6 7 6 7 7 6 5 5 7 11 14 14 14 14 13 10 8 5 3 2 1 1 2 3 3 4 4 3 3 5 6 8 8 7 7 6 6 4 4 4 4 5 6 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 7 11 13 14 13 13 16 20 21 18 11 5 3 3 3 2 2 2 2 1 0 1 1 2 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 6 8 11 14 14 14 15 14 12 7 5 2 2 3 3 3 3 3 4 4 5 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 5 6 6 5 5 4 4 5 5 4 3 3 3 4 3 3 3 4 5 7 8 10 13 15 14 10 6 3 2 2 1 1 2 3 3 3 2 2 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 3 4 5 5 6 6 5 4 4 4 5 11 19 19 14 13 13 13 10 6 3 1 1 2 3 3 4 4 4 4 5 5 6 10 15 14 10 10 13 18 22 20 14 8 4 1 2 5 5 4 6 5 7 9 4 0 -1 2 6 8 9 11 9 5 5 7 6 5 1 -0 1 0 -0 0 3 4 0 -3 -1 5 4 6 16 23 19 10 3 -3 1 11 10 3 6 4 -5 -3 9 12 9 1 -7 -3 4 6 7 7 12 21 25 21 11 4 7 14 14 11 8 7 8 7 5 3 5 7 7 7 7 8 12 10 6 7 8 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 5 5 4 3 4 4 4 4 3 3 3 2 2 3 4 3 2 3 4 3 2 1 2 6 10 13 14 14 13 10 7 4 4 6 7 6 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 7 8 8 9 9 10 10 9 8 7 6 7 7 7 7 7 8 8 9 9 9 9 10 10 9 8 9 10 12 11 7 5 5 6 6 8 11 13 13 7 4 4 4 3 4 4 4 5 4 4 4 5 6 6 7 6 6 5 5 4 5 8 12 16 17 16 14 12 9 7 5 3 2 1 2 2 3 4 5 5 4 4 5 5 6 7 7 7 6 5 4 4 5 6 6 5 5 4 4 5 6 6 6 6 5 5 5 5 5 5 5 7 10 12 12 11 14 22 27 25 15 8 5 6 5 4 4 3 2 2 2 1 1 1 2 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 4 7 9 10 10 10 11 11 10 8 6 3 2 3 3 3 3 3 3 4 5 6 7 8 8 7 6 6 6 6 5 5 4 4 4 4 3 4 4 4 4 4 4 4 6 6 6 5 4 5 6 6 5 4 4 4 4 3 3 3 4 5 6 7 7 10 13 15 15 12 9 7 6 4 3 3 3 4 4 3 3 2 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 3 4 4 4 5 5 6 5 5 4 4 5 8 15 21 20 13 10 10 11 6 1 -1 -1 1 2 3 2 2 3 4 5 6 6 8 11 14 11 10 10 12 17 20 18 11 4 2 1 1 4 5 5 7 4 1 2 3 2 2 4 7 8 12 18 14 11 13 11 5 3 1 1 1 -1 -1 1 1 1 1 -1 -0 4 6 11 22 28 23 14 5 0 6 14 11 4 5 9 6 1 5 7 7 5 -2 -1 4 7 9 11 14 17 17 14 9 5 9 14 12 10 8 8 8 7 3 2 5 7 6 7 8 9 12 11 7 6 8 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 2 3 4 3 2 0 1 3 5 7 9 11 11 9 6 4 5 6 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 5 5 6 7 8 9 9 9 9 9 9 9 8 7 8 9 9 10 10 10 11 12 12 12 11 11 11 11 9 9 10 11 11 8 6 5 6 6 7 8 10 12 9 4 3 4 4 3 4 4 5 5 4 4 4 4 5 6 6 6 5 5 6 5 3 4 9 15 19 18 15 13 11 8 6 4 4 3 3 3 3 5 7 8 7 5 4 3 4 5 5 6 6 5 4 4 5 6 6 5 4 4 4 4 5 5 6 6 6 5 5 5 5 4 4 5 7 9 10 10 11 17 23 24 17 9 8 8 9 9 8 7 6 5 5 3 1 1 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 1 1 2 4 6 7 7 7 8 10 11 11 9 5 4 4 4 5 5 4 4 3 4 6 7 7 8 7 8 8 7 7 7 6 5 6 5 5 5 5 4 4 4 4 4 4 5 6 6 5 4 5 6 6 5 4 3 4 3 3 3 3 4 5 6 7 6 7 8 11 14 14 14 13 11 9 8 6 5 6 5 4 3 3 3 3 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 4 4 3 6 10 15 22 25 19 10 6 7 6 -1 -3 -3 -1 2 2 2 2 2 3 5 6 7 7 9 11 11 9 8 8 11 13 14 13 8 -0 -1 2 4 3 5 6 7 4 0 1 3 4 5 5 6 8 12 16 13 11 11 8 4 2 1 1 1 1 1 1 0 1 4 5 5 7 11 19 26 28 24 15 4 -1 4 9 7 1 4 10 11 5 5 6 6 5 2 2 4 7 10 11 10 8 11 12 7 6 11 14 12 10 8 8 9 6 3 3 6 8 5 5 6 10 14 13 7 6 7 7 8 7 6 6 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 2 1 0 0 2 3 4 6 7 7 6 5 5 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 6 7 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 9 9 9 9 9 9 8 8 8 9 10 11 12 13 13 14 15 16 15 14 14 13 12 11 9 9 10 9 8 6 5 5 6 6 7 7 8 7 5 4 3 4 3 4 4 4 4 5 5 5 5 5 5 6 6 6 5 4 6 7 4 1 5 12 16 17 16 14 12 9 6 5 5 3 4 4 4 5 7 10 9 7 4 3 3 3 4 5 5 5 5 4 4 5 5 5 4 3 3 3 4 4 5 6 7 6 6 5 4 4 5 5 5 6 8 9 10 11 13 16 16 12 10 11 12 12 12 12 10 10 10 8 6 4 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 1 0 1 3 4 5 5 6 8 10 12 11 8 6 6 7 7 8 8 7 5 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 6 6 6 5 4 4 5 5 5 4 3 4 3 3 3 3 3 4 5 6 6 6 5 6 8 10 11 12 12 12 12 12 9 7 6 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 4 4 4 4 5 6 7 6 5 3 3 4 10 17 26 32 28 15 6 3 2 -1 -8 -7 -2 1 2 2 2 2 3 5 5 7 8 8 9 10 10 8 7 8 11 11 8 8 6 -2 -3 5 7 5 8 10 11 8 6 5 3 4 4 5 4 6 8 7 8 9 8 5 2 1 1 0 1 3 4 4 3 5 8 9 10 11 14 23 26 23 19 13 4 -1 1 5 5 3 6 10 9 3 -3 2 6 5 4 4 8 9 9 8 5 5 14 16 8 7 11 14 13 11 8 8 8 5 4 5 7 7 5 4 5 11 16 13 6 5 6 7 8 8 7 6 5 5 5 5 4 4 3 4 4 4 4 4 4 5 5 4 4 3 2 2 3 3 4 4 4 4 4 4 4 3 4 3 3 3 3 2 2 2 3 3 2 0 -0 -0 1 2 3 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 10 12 13 14 15 16 16 17 16 16 16 15 15 14 13 11 10 9 8 8 7 6 5 5 5 6 6 7 8 3 -0 3 3 4 3 4 4 4 4 5 5 6 5 4 5 6 7 7 5 4 4 6 4 2 4 8 13 15 15 14 12 10 8 6 5 4 4 4 4 5 8 10 9 7 5 3 2 2 2 4 5 5 5 4 4 4 4 4 3 3 3 2 3 3 3 5 6 7 6 5 4 4 4 5 5 5 6 7 7 8 7 9 13 13 12 12 11 12 12 13 13 14 14 14 12 9 6 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 2 2 2 2 2 3 4 5 6 9 11 12 10 9 8 9 9 11 13 12 9 6 5 4 5 5 6 6 5 5 5 6 6 7 7 8 8 9 10 8 7 7 9 10 9 7 7 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 5 5 6 5 4 4 4 5 6 7 8 10 13 15 14 10 7 4 3 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 2 3 3 3 3 4 4 5 6 8 7 6 4 2 3 9 18 28 35 35 22 8 2 0 -2 -7 -12 -8 -1 2 2 2 2 3 4 6 7 7 8 9 9 9 9 10 9 10 12 11 7 6 6 2 1 6 8 10 9 9 11 10 9 8 3 2 2 4 4 4 3 2 9 11 7 2 -1 -0 1 2 4 5 8 9 8 9 10 11 11 13 13 19 20 15 16 15 7 -0 -1 3 5 6 10 14 7 -5 -11 -2 9 10 8 8 8 7 7 7 7 13 24 20 9 8 12 14 12 11 9 8 7 5 6 7 7 6 5 5 8 13 17 12 5 4 6 7 8 8 7 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 3 3 3 2 1 2 3 4 3 2 0 -1 -0 1 3 4 4 4 4 4 5 5 5 5 5 5 6 7 7 8 7 7 8 8 7 7 7 6 7 7 6 6 6 5 5 5 5 6 7 8 9 9 9 9 8 8 8 9 9 9 10 12 13 14 15 16 17 18 18 17 16 15 15 15 14 14 13 12 10 8 7 7 5 5 5 6 6 5 5 5 5 3 1 3 4 4 4 3 4 4 4 5 5 6 6 5 4 5 7 7 6 5 5 4 3 1 3 6 9 13 14 13 12 11 10 8 6 6 5 4 4 5 8 11 10 7 5 3 2 2 2 3 4 5 5 5 5 5 5 4 3 3 3 3 3 2 2 3 5 7 7 6 5 3 4 4 5 5 6 6 5 4 4 6 8 10 11 10 9 10 11 11 13 14 15 16 16 14 10 6 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 5 4 2 2 3 4 5 6 9 10 11 10 9 10 11 12 15 17 16 11 7 5 5 5 5 5 4 4 4 4 5 5 6 7 9 10 10 8 8 10 15 15 12 8 6 6 6 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 5 5 5 5 4 4 4 4 4 5 6 10 14 15 12 8 5 3 3 4 3 3 4 4 3 4 4 3 2 2 2 2 2 2 2 3 2 2 3 3 3 3 4 6 8 9 7 6 4 3 7 15 24 30 30 23 12 4 5 3 -1 -8 -12 -7 -1 1 1 2 3 4 5 6 7 7 8 8 8 8 10 13 13 11 13 13 9 7 7 6 5 4 5 10 7 5 4 7 6 6 4 3 2 3 4 3 3 8 15 12 3 -3 -4 -2 2 5 7 7 10 11 10 9 10 13 12 11 8 12 13 12 20 22 12 1 -2 2 6 8 9 9 4 -1 -3 4 12 13 12 7 4 8 13 12 14 23 28 20 10 8 13 13 12 11 10 8 6 6 6 7 6 5 5 6 9 15 16 8 3 4 6 8 9 8 7 6 6 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 3 2 1 2 3 4 4 4 2 0 -1 1 3 4 4 4 4 4 5 5 5 5 5 6 6 7 7 8 8 7 8 8 8 7 7 6 6 6 6 5 5 5 5 5 6 7 8 8 9 9 8 8 8 8 8 9 10 11 12 14 14 14 15 16 17 18 17 15 13 12 11 12 11 11 11 12 10 7 6 6 6 6 7 7 6 6 5 5 4 2 2 4 5 5 5 5 5 5 6 5 5 5 5 4 4 5 6 8 7 6 5 6 4 -1 -1 4 7 11 14 13 11 12 13 12 10 8 6 5 5 6 10 12 10 8 6 4 4 4 4 4 4 5 6 6 6 6 6 5 5 4 4 3 2 1 1 2 3 6 7 7 5 3 3 4 5 5 5 5 5 4 3 3 4 5 6 7 7 8 9 10 11 13 15 15 16 16 14 10 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 8 10 11 8 4 2 2 3 4 4 6 8 9 9 9 10 10 11 14 18 20 16 9 5 5 6 6 5 5 5 4 4 4 5 5 6 7 9 9 7 8 13 17 15 8 4 4 6 7 6 5 5 5 4 3 3 3 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 5 7 10 13 13 9 6 5 5 5 5 5 4 4 4 4 4 3 3 2 2 1 2 2 3 2 3 3 3 3 3 3 5 8 10 9 8 5 4 5 11 19 24 26 20 11 5 7 12 10 1 -8 -9 -4 -0 1 1 2 3 4 5 6 7 7 7 8 8 10 14 17 15 11 13 14 10 7 7 7 6 3 3 7 6 2 2 2 3 7 6 2 1 2 4 4 7 14 14 6 -2 -8 -7 -2 3 6 7 8 9 11 10 10 12 15 9 6 7 9 12 14 21 21 11 2 1 6 9 8 6 3 4 6 8 10 9 11 11 6 2 11 18 17 18 24 25 17 10 9 13 13 11 11 9 8 7 6 6 6 5 4 4 6 11 18 14 6 3 4 6 8 8 9 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 2 1 2 3 3 4 4 3 1 -0 1 4 5 5 4 4 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 6 6 5 5 5 5 5 6 7 7 8 8 9 8 8 7 7 8 9 9 10 11 12 14 15 15 14 14 15 15 16 15 13 10 8 8 8 8 7 8 7 7 6 6 6 6 7 7 7 6 6 6 5 4 0 -1 3 6 6 6 6 6 6 6 7 6 4 4 3 1 2 4 7 8 7 7 6 6 1 -2 3 6 9 11 11 11 12 14 15 13 11 9 9 9 10 12 11 10 10 9 7 7 8 8 8 6 6 7 7 8 8 7 7 7 7 6 5 3 2 0 0 1 4 6 7 6 4 3 4 5 5 5 5 5 5 4 3 3 4 4 4 6 6 6 8 10 12 14 15 15 15 14 13 11 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 7 10 13 10 6 2 2 2 3 3 4 5 7 7 8 9 10 10 12 16 17 14 7 4 5 6 6 6 6 5 5 4 4 4 5 6 6 7 7 7 8 11 12 9 4 1 3 6 8 8 7 6 6 5 4 3 3 4 5 5 5 4 3 4 4 4 5 4 5 5 4 4 4 5 5 6 7 9 10 10 8 7 7 7 7 7 6 5 5 4 4 3 3 2 2 2 3 3 3 4 4 4 3 3 3 4 7 9 10 10 8 5 4 6 10 16 23 26 20 10 9 16 18 10 -3 -10 -7 -1 0 1 2 3 4 5 6 7 7 7 8 9 11 13 17 18 15 11 11 12 10 7 6 5 5 4 4 7 7 6 10 7 6 7 3 -1 -0 1 3 4 6 7 2 -3 -5 -7 -7 -3 2 6 6 6 7 9 8 9 15 15 7 5 8 11 12 13 17 16 7 3 6 11 11 8 5 4 5 5 7 6 4 8 10 7 5 7 11 13 16 19 18 14 9 9 12 13 12 10 9 8 7 7 6 5 4 4 3 6 15 19 12 4 4 5 7 7 8 8 8 7 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 4 3 3 2 2 2 2 3 3 4 4 2 0 1 3 4 5 5 5 5 6 6 7 7 6 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 5 5 5 6 7 7 8 8 9 8 7 6 6 7 8 8 10 11 13 13 14 14 13 13 13 13 13 12 11 10 8 7 7 6 6 6 5 4 5 6 6 5 5 6 6 7 6 5 5 5 4 2 -1 1 6 7 6 6 7 6 6 8 8 6 4 3 2 1 1 4 7 8 8 7 5 2 0 2 4 6 7 8 9 11 13 14 14 14 14 13 13 12 10 9 9 10 10 10 10 11 12 11 10 9 7 7 7 8 9 9 10 11 10 8 5 2 0 -1 -0 2 4 5 6 5 4 5 5 5 6 6 6 6 5 5 5 5 4 5 5 5 5 6 7 9 11 13 13 13 14 15 14 15 14 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 7 10 9 6 4 3 2 2 2 2 3 4 5 7 7 8 9 10 11 12 8 4 3 5 6 7 7 6 6 5 4 3 3 4 5 6 6 6 6 7 6 6 6 4 3 4 7 9 8 8 7 7 6 5 4 3 4 5 7 6 5 4 4 4 4 4 4 5 5 5 5 4 4 5 5 6 7 8 8 7 7 7 8 8 8 7 6 5 4 3 3 2 2 3 3 3 4 4 5 5 5 4 3 4 5 9 11 11 10 7 4 4 5 7 12 22 29 25 16 16 17 8 -3 -11 -11 -5 -1 0 2 3 5 5 6 6 7 7 7 11 14 14 14 16 17 15 11 10 10 9 7 5 5 4 3 6 8 5 6 9 6 6 3 -2 -2 -1 -1 0 2 1 0 -1 -4 -7 -6 -4 -3 1 4 5 4 5 6 6 10 17 16 9 8 11 12 10 7 11 11 4 1 7 11 10 9 8 7 6 6 7 6 3 7 11 9 7 4 6 10 13 15 15 11 9 9 11 12 12 10 9 7 8 8 5 4 5 5 4 7 15 18 9 3 5 7 8 7 8 8 8 7 6 6 6 5 5 5 5 4 4 5 5 4 4 4 4 5 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 2 2 2 3 3 3 3 2 0 1 2 3 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 6 6 6 5 5 6 6 6 7 7 7 8 8 8 7 6 6 6 7 8 9 10 12 12 13 13 12 12 12 12 11 10 9 8 8 7 6 6 6 7 8 8 6 6 7 6 4 5 5 6 6 7 6 5 5 5 5 2 3 5 6 6 6 6 6 6 8 9 9 9 7 6 5 4 4 6 8 9 9 5 2 2 2 3 5 5 6 7 7 8 9 10 12 12 12 11 9 7 7 8 9 9 11 12 12 11 11 13 13 11 9 6 6 7 9 12 15 16 13 8 4 1 0 0 1 2 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 5 6 8 10 10 11 13 16 16 18 20 18 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 4 3 4 4 4 5 5 5 5 6 5 4 3 3 2 3 4 5 5 6 6 7 7 8 7 7 7 8 7 6 7 10 13 11 6 4 4 4 4 5 5 5 4 3 3 4 5 6 6 6 6 6 6 7 7 6 5 3 3 4 6 8 8 7 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 7 7 6 6 5 4 4 3 3 3 3 3 3 4 4 5 5 5 4 5 10 16 16 11 6 5 5 2 -0 -1 1 7 15 17 12 9 -3 -20 -24 -17 -9 -4 -1 0 2 5 8 9 9 8 8 9 11 15 15 12 9 10 13 14 12 9 10 12 9 6 5 3 2 4 7 5 3 -0 1 3 1 0 1 2 2 1 1 1 1 0 -3 -10 -13 -8 -0 3 5 6 4 3 4 7 10 12 12 11 16 22 13 4 9 17 15 10 6 4 -0 3 8 5 8 9 6 5 8 5 1 6 11 11 11 14 18 19 17 15 12 10 9 9 9 11 11 9 8 7 7 6 5 4 5 5 6 7 10 12 8 6 8 9 8 8 8 8 7 6 7 6 6 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 4 4 5 5 5 5 5 4 4 3 2 2 2 3 3 3 3 2 1 2 3 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 7 7 7 7 7 8 7 6 5 5 6 6 7 7 8 9 11 11 12 11 10 9 10 10 9 9 8 7 6 5 5 4 4 3 1 2 6 8 7 7 7 6 5 3 2 3 7 10 7 4 5 4 4 5 5 5 5 5 5 5 5 6 7 8 8 9 8 8 7 5 5 5 6 7 7 6 4 3 3 4 4 5 5 5 4 4 4 4 6 7 6 5 6 5 5 6 6 7 7 6 7 13 22 27 25 17 9 5 3 3 6 10 15 16 15 12 10 10 10 9 7 5 3 3 3 4 4 5 5 5 5 5 5 6 6 6 5 6 5 4 4 5 5 4 4 5 7 9 10 11 11 11 12 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 17 14 9 7 2 1 9 17 20 14 13 14 14 8 4 2 7 11 14 19 21 21 15 14 12 14 13 14 17 19 15 4 1 0 -2 6 12 13 11 7 4 15 15 9 12 14 16 16 16 15 14 12 12 12 11 12 13 13 14 14 17 20 21 20 18 14 11 10 12 16 17 17 15 12 8 6 6 7 9 12 14 14 13 11 8 6 6 8 9 9 9 9 8 9 11 12 13 14 13 13 12 11 11 11 11 11 13 14 14 14 14 13 12 12 11 11 11 11 12 13 14 14 14 13 12 12 13 12 11 11 11 11 10 10 10 11 12 13 13 13 14 14 13 11 10 8 9 14 20 21 14 3 7 19 21 19 16 14 12 12 13 13 13 13 13 12 12 13 13 12 12 13 13 13 13 12 12 12 11 11 11 12 12 12 11 11 11 13 14 13 12 11 11 12 13 15 15 14 13 12 13 14 13 12 12 12 11 12 14 14 13 12 13 14 18 18 15 14 14 14 14 15 15 14 14 15 15 16 17 17 17 17 16 16 16 16 16 17 17 16 15 16 16 15 14 12 9 9 15 19 16 14 14 14 15 16 16 16 16 15 15 15 15 16 16 16 16 16 15 15 16 17 16 17 16 15 15 14 14 13 11 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 10 11 11 11 12 13 15 16 18 17 15 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 10 10 11 11 11 11 10 10 11 11 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 14 16 16 14 13 12 12 13 13 12 12 11 10 11 11 12 12 13 13 14 14 13 14 15 16 18 16 12 10 11 12 13 13 12 12 12 13 12 12 10 5 1 1 7 15 22 25 23 19 15 13 12 12 12 12 12 13 13 12 12 13 14 14 14 14 13 13 14 14 16 17 17 15 15 13 13 14 14 15 15 15 15 16 16 16 16 15 14 14 15 16 15 15 14 13 12 12 13 14 14 14 13 14 14 15 16 16 15 14 14 13 13 13 12 13 12 13 nan
nan nan nan nan nan nan nan 16 20 15 12 9 10 10 9 6 4 7 14 20 22 22 18 12 10 11 14 18 18 16 13 8 2 -1 -1 4 10 12 10 7 5 6 10 11 13 15 14 13 15 15 14 13 13 12 12 12 14 14 14 13 13 16 16 19 20 19 18 15 12 13 16 16 14 12 9 8 6 6 7 8 10 13 15 15 13 8 6 6 8 9 9 9 9 9 10 11 13 14 14 13 11 11 11 10 11 11 12 13 13 14 14 14 13 12 12 11 12 12 12 12 13 14 14 14 13 12 12 12 12 11 11 11 11 11 10 10 11 12 12 13 13 13 15 14 11 12 12 13 15 16 15 11 8 9 13 16 17 15 13 12 12 13 13 14 14 13 12 12 12 13 13 13 13 13 12 12 13 12 11 11 11 11 12 11 11 11 11 12 14 14 12 11 12 13 14 13 15 15 15 14 13 13 13 13 12 12 11 11 13 14 13 12 11 8 10 20 22 17 16 16 15 15 15 15 15 14 14 14 14 15 17 17 17 16 15 14 15 16 17 18 17 16 16 17 18 16 14 9 6 9 15 14 14 14 16 17 20 21 22 19 16 14 14 14 14 14 14 14 14 14 14 14 15 15 16 16 16 16 15 14 14 13 13 12 12 11 11 11 11 11 10 11 11 12 12 12 12 12 12 11 10 10 10 11 11 10 10 11 11 12 12 12 13 14 15 14 12 11 10 9 9 9 10 10 10 9 10 11 10 11 11 10 11 10 11 11 10 10 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 13 15 14 13 12 13 13 13 13 12 10 9 9 11 12 12 12 13 13 12 13 13 13 13 14 15 16 15 14 14 17 20 19 14 13 12 13 12 12 12 10 9 9 15 22 28 26 19 17 16 14 12 12 12 11 11 13 13 13 12 13 14 14 15 15 14 13 14 14 14 15 16 17 15 14 13 14 15 15 15 14 14 15 18 19 18 15 12 12 14 14 15 14 14 13 13 13 13 13 14 15 14 13 13 14 14 15 15 15 15 14 13 12 13 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 5 6 9 17 19 19 16 14 12 12 8 11 20 17 10 8 10 10 10 9 9 11 15 16 15 12 8 5 9 13 16 17 16 14 13 12 13 13 13 13 13 14 14 15 14 15 15 16 17 17 18 18 16 15 16 16 15 13 10 8 7 6 7 9 9 9 11 13 14 14 11 8 7 8 9 11 11 10 10 11 13 15 15 14 12 11 10 9 10 10 11 11 13 13 14 13 13 12 11 11 11 12 12 12 12 12 13 13 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 10 10 15 16 15 13 11 11 12 12 10 11 14 17 15 12 11 12 13 13 14 15 14 13 12 12 13 13 13 13 13 12 13 13 12 12 11 12 12 11 11 10 11 11 12 14 14 13 11 9 7 9 15 25 27 19 15 13 13 13 12 12 11 11 12 13 14 14 13 12 9 8 15 18 16 16 16 17 16 15 15 15 15 14 13 13 12 15 17 18 17 14 13 13 14 16 18 17 15 15 15 16 17 19 18 15 12 14 15 16 15 14 13 15 19 23 21 17 15 13 14 13 14 14 15 14 14 15 15 14 15 15 16 17 16 16 15 15 15 14 13 13 12 11 11 11 11 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 13 13 14 15 15 13 11 10 9 10 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 12 12 11 11 12 13 13 12 14 14 13 11 12 15 15 12 10 8 5 4 8 12 13 13 12 12 12 13 13 13 13 12 13 13 16 18 19 20 20 21 18 14 14 13 12 11 11 12 11 12 14 17 20 20 17 15 13 13 14 13 12 13 12 12 13 14 14 13 13 14 14 15 14 12 12 13 14 15 16 16 15 14 14 15 15 15 15 14 14 14 16 18 20 18 14 12 13 15 14 14 14 14 13 13 14 13 13 14 15 14 14 14 14 14 15 15 15 14 14 14 13 13 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 7 7 7 16 19 17 10 9 13 22 23 14 9 9 13 15 14 10 6 6 10 14 16 17 15 13 13 12 12 13 13 12 13 15 16 16 15 15 14 13 13 14 15 15 14 14 15 15 13 11 9 7 7 8 9 11 11 10 10 10 12 14 14 11 8 9 10 10 10 10 10 12 14 16 15 13 11 10 10 9 10 10 10 11 12 13 13 13 12 11 10 10 11 12 12 12 12 12 13 13 13 13 12 11 11 11 12 12 12 11 12 12 12 12 12 12 12 13 14 12 8 10 15 17 16 13 11 11 12 12 11 12 14 15 14 12 12 12 12 13 14 14 14 13 12 12 12 12 13 13 13 13 14 13 13 13 13 12 12 11 11 11 11 11 12 13 13 13 11 8 2 -1 5 21 32 32 27 19 14 13 13 12 11 11 12 13 14 14 14 15 14 12 12 13 14 15 16 16 15 15 15 15 15 14 13 14 12 13 14 17 17 16 13 12 12 13 16 17 17 15 14 13 12 19 24 20 16 16 17 16 15 12 5 2 5 11 17 19 19 18 16 15 15 15 15 15 14 14 15 15 15 15 16 16 16 15 15 15 14 13 13 13 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 15 16 15 13 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 13 14 12 8 5 5 6 8 11 13 13 13 12 12 12 13 13 13 12 12 13 14 16 19 22 22 18 15 13 13 14 13 12 12 11 10 11 10 11 12 12 12 12 13 13 13 14 14 13 12 12 12 13 14 14 14 13 14 15 15 13 12 12 14 15 17 16 15 15 14 14 15 15 15 15 14 14 15 16 19 20 17 13 11 12 14 15 13 13 14 13 13 12 13 14 14 14 14 15 14 14 14 15 15 15 15 14 13 13 13 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 17 13 14 21 19 12 5 7 9 12 11 9 7 11 13 14 13 12 11 11 13 12 12 12 11 11 12 14 15 16 15 13 11 11 10 9 9 9 8 10 11 12 11 10 10 10 10 11 13 13 13 11 11 11 11 13 13 11 10 8 8 9 9 9 9 11 15 16 16 13 12 10 9 10 9 10 11 12 12 13 12 11 11 11 11 10 11 12 12 12 12 12 13 13 13 13 12 11 11 10 11 13 13 13 13 13 13 12 12 12 14 13 13 12 11 12 14 14 14 13 12 11 12 13 13 13 13 13 12 12 12 12 13 13 13 14 14 13 12 12 12 13 13 13 13 13 13 13 14 13 13 13 13 12 12 11 11 12 12 12 11 12 12 10 6 -1 -3 2 15 26 32 32 23 16 13 13 13 12 12 13 14 14 14 16 15 14 13 13 13 14 16 16 14 15 17 17 17 15 14 16 15 14 14 16 17 17 16 13 12 12 14 17 18 19 17 13 9 13 20 20 17 15 15 14 16 15 10 4 4 7 12 16 18 19 18 16 15 15 15 16 15 14 15 15 14 14 15 15 15 15 14 14 13 13 13 13 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 12 12 12 13 13 13 14 14 15 15 14 13 11 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 9 9 9 10 11 10 11 10 10 11 11 12 12 12 12 12 12 11 11 12 11 10 9 10 11 11 11 12 12 12 12 13 13 12 12 13 13 13 14 14 14 14 12 10 10 9 9 12 13 14 13 13 12 12 12 12 13 13 12 12 12 13 15 17 20 21 18 15 13 13 14 13 13 12 12 11 10 9 10 9 10 11 12 13 12 12 13 13 13 13 12 11 12 14 14 13 14 14 14 14 14 13 13 13 15 16 16 15 14 14 14 14 14 15 15 15 14 15 16 17 18 19 17 12 11 12 13 13 13 14 14 13 12 13 13 14 14 14 14 14 14 13 14 15 15 15 16 15 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 8 14 16 14 13 15 14 12 10 9 10 11 13 12 11 12 12 12 12 13 14 14 14 13 13 10 7 6 5 6 6 7 9 10 10 12 12 13 13 14 14 13 13 13 12 12 13 13 12 10 8 7 8 8 8 8 9 11 14 17 16 14 12 10 8 8 8 9 11 12 13 12 11 10 10 10 10 10 11 12 12 12 12 13 13 13 14 13 12 11 10 10 11 13 14 14 13 14 14 13 12 13 14 13 13 13 12 12 11 12 12 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 14 13 13 13 12 13 13 13 13 14 13 13 14 14 13 13 13 13 12 12 12 12 13 12 12 12 12 12 12 13 9 2 -3 -2 7 18 35 35 21 14 13 13 13 12 13 13 14 14 16 16 14 13 13 13 13 16 15 14 12 15 21 26 22 17 19 18 17 16 16 15 14 14 14 13 12 13 15 16 18 17 14 12 12 15 16 15 15 14 14 15 16 16 14 11 9 9 11 12 14 16 15 15 14 15 16 16 15 15 15 15 13 13 14 14 14 14 13 13 13 13 13 13 12 13 12 11 11 11 11 12 13 12 11 11 12 12 13 13 13 14 14 15 16 16 15 13 11 10 11 11 11 11 11 11 10 10 10 10 10 9 10 10 9 9 10 10 9 9 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 12 12 11 11 11 11 10 10 10 11 11 12 12 13 12 12 13 13 13 13 13 13 15 16 15 14 12 12 12 11 12 12 13 13 13 13 13 13 12 12 13 13 12 12 13 13 13 15 17 20 20 18 15 13 13 12 12 12 11 11 10 10 10 9 9 10 12 13 13 12 12 12 12 13 12 12 12 12 13 13 14 14 14 15 15 13 13 13 14 15 15 15 14 14 14 13 14 14 14 15 14 14 15 16 17 17 17 17 15 13 12 12 13 14 15 13 12 12 12 13 13 13 14 15 14 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 12 12 11 12 12 12 12 12 13 14 14 14 13 13 13 13 12 10 9 8 9 9 9 10 11 13 15 15 15 15 14 14 14 14 13 13 14 13 11 9 7 7 8 7 7 9 10 11 13 17 16 15 12 10 7 6 7 9 11 13 14 13 12 11 10 10 9 10 11 12 12 13 13 13 13 13 13 13 12 11 10 10 12 14 14 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 13 12 12 13 13 13 13 13 13 13 13 13 13 14 13 13 13 13 13 14 14 13 12 14 14 14 13 13 13 13 13 13 12 13 13 13 12 12 12 12 13 13 11 7 1 -2 3 26 39 29 21 15 13 13 13 13 13 13 14 15 15 15 15 15 14 14 15 15 11 5 4 16 29 28 22 23 21 19 18 17 15 13 11 12 13 13 13 13 13 13 13 13 13 13 14 13 13 13 13 13 14 14 13 13 12 11 9 9 9 10 12 14 15 14 13 15 16 15 15 16 16 16 14 14 14 15 14 13 12 12 12 12 12 12 13 13 12 12 12 12 12 13 14 14 15 15 15 16 16 17 17 17 16 16 14 13 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 12 12 13 13 13 13 14 14 13 13 14 16 15 12 10 10 12 12 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 13 13 15 16 19 21 21 20 15 13 12 11 10 10 11 10 10 10 10 10 9 11 12 12 13 13 12 11 11 12 11 12 12 13 14 14 14 14 13 13 14 14 14 14 15 15 15 14 14 14 14 13 14 14 14 15 15 15 14 15 15 16 16 17 17 14 12 12 12 13 14 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 6 6 6 5 5 5 6 6 6 7 8 11 13 14 15 16 16 16 16 15 14 14 15 14 11 8 6 5 7 12 16 21 22 19 16 18 17 13 11 9 10 12 15 18 18 19 21 22 23 23 20 18 16 15 14 12 10 8 7 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 5 3 2 2 7 14 22 31 38 43 50 57 61 58 50 39 32 28 22 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 10 8 5 9 15 19 19 18 17 14 14 18 21 21 12 2 0 0 0 0 0 0 0 0 7 17 19 18 17 12 6 1 0 0 7 29 36 22 8 11 17 19 21 34 46 54 61 64 62 56 51 55 59 61 60 54 52 51 54 63 76 88 94 86 68 48 40 32 24 12 5 3 2 1 2 3 0 0 0 0 0 0 0 0 0 6 16 0 6 21 59 77 70 69 82 92 104 116 126 135 139 138 131 116 102 99 103 116 120 99 72 63 71 77 76 70 63 60 72 99 111 106 113 120 120 113 111 117 124 134 151 169 185 191 186 184 177 165 161 153 137 121 117 118 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 nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 6 5 5 5 5 5 5 5 6 8 9 11 13 15 15 14 12 10 9 9 10 10 8 6 4 3 3 6 12 18 24 25 21 18 15 11 11 10 9 7 8 10 10 12 13 13 12 12 10 8 8 8 8 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 5 6 6 5 5 6 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 6 2 0 0 1 6 15 23 30 34 38 45 55 61 59 52 43 35 30 22 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 3 3 4 6 14 18 17 17 17 15 15 19 21 20 10 2 0 0 0 0 0 0 0 2 11 24 30 28 26 24 16 8 2 0 12 32 36 23 13 13 16 17 18 21 29 43 58 62 60 46 34 36 37 36 34 32 31 30 35 44 57 68 78 79 69 56 47 36 25 15 8 4 6 6 4 5 6 1 0 0 0 0 0 0 6 4 36 8 3 17 63 85 71 45 48 62 78 89 109 135 146 144 141 132 122 121 125 129 126 114 102 98 100 103 102 93 75 59 62 82 92 91 96 99 91 87 95 109 133 160 184 187 186 182 176 172 169 165 158 146 133 124 118 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 5 5 5 4 4 4 4 4 4 4 5 6 8 10 12 14 14 14 12 11 12 12 12 11 8 5 2 2 4 8 14 21 24 21 16 12 10 11 13 12 9 7 7 8 9 9 8 6 5 5 3 2 2 4 4 3 4 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 6 6 6 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 3 1 0 0 0 5 15 22 26 30 34 41 51 58 58 53 46 38 31 23 14 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 1 3 5 4 2 1 0 2 8 14 15 16 18 18 18 21 22 20 10 2 0 0 0 0 0 0 0 4 14 29 39 40 39 34 26 17 8 5 18 37 41 29 15 14 14 14 13 14 19 30 44 53 54 42 33 31 30 28 27 26 24 25 27 33 42 52 61 68 66 57 48 39 29 22 16 7 4 6 11 16 18 14 12 8 2 1 3 15 34 35 43 24 24 34 60 70 50 25 15 30 57 75 91 119 144 148 144 141 135 132 131 127 120 114 112 115 119 124 126 118 96 74 69 78 84 85 91 88 81 86 107 131 157 177 185 181 170 161 159 158 161 160 150 137 128 123 119 117 118 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 nan nan
nan nan nan nan nan nan nan 7 6 4 4 4 4 4 3 3 3 3 2 3 3 4 5 6 8 11 14 16 18 19 18 17 17 16 13 8 5 4 6 7 10 15 18 16 11 9 9 11 13 13 12 10 8 7 7 6 5 4 4 3 2 2 1 2 2 2 2 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 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 4 8 5 0 0 0 0 0 2 11 20 24 27 31 38 48 54 55 53 48 41 33 25 17 10 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 2 3 2 0 2 6 11 17 21 22 22 23 22 17 6 0 0 0 0 0 0 0 0 3 10 26 41 45 44 41 35 28 20 16 27 39 42 33 17 13 14 12 8 8 9 15 26 37 42 39 34 33 31 29 27 20 10 17 24 31 32 34 43 54 58 51 42 34 27 25 22 17 12 10 13 21 28 32 34 28 10 9 17 36 54 62 62 50 35 29 35 33 19 14 23 48 80 99 107 131 153 146 141 142 138 132 126 118 110 105 107 118 132 142 146 141 123 101 88 88 92 98 100 97 97 111 135 157 171 178 180 174 159 144 142 148 156 158 146 131 122 117 117 121 126 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 6 4 4 4 4 3 3 2 2 2 2 2 2 3 3 4 6 10 13 17 20 21 20 18 17 16 13 10 8 7 6 7 9 10 10 9 8 9 9 10 11 11 11 8 6 5 4 3 2 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 2 0 0 0 0 0 0 6 19 22 24 28 36 45 50 53 53 51 45 37 30 24 17 8 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 3 1 0 2 6 6 2 0 3 12 21 24 24 24 23 20 12 3 0 0 0 0 0 0 0 0 0 4 18 36 43 43 41 39 36 32 31 34 39 41 34 17 10 12 10 4 2 2 4 9 25 32 35 34 32 31 29 28 15 1 2 12 29 33 32 32 35 41 41 35 25 20 23 26 26 24 24 25 31 38 44 45 43 39 39 42 54 71 71 60 53 32 32 50 45 11 8 37 84 115 132 137 151 157 140 135 138 136 129 122 113 109 105 107 120 137 150 155 154 145 132 118 107 105 110 116 117 123 140 158 168 170 170 172 171 155 133 129 141 154 158 145 126 113 109 111 119 130 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 nan 9 9 7 5 3 3 3 3 3 2 3 3 3 2 2 2 2 2 3 4 7 11 15 18 18 18 17 16 14 12 11 9 8 7 7 8 8 7 6 7 7 7 7 7 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 5 16 21 22 26 34 42 48 52 53 52 50 44 39 36 29 18 9 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 2 5 3 1 5 13 10 2 2 11 24 33 30 24 23 22 17 8 1 0 0 0 0 0 0 0 0 0 2 14 34 38 37 32 29 30 31 34 38 40 40 30 13 6 8 7 1 0 0 0 1 5 18 28 31 30 28 19 8 1 0 0 7 20 31 34 33 32 32 31 28 17 11 11 16 25 30 32 37 39 38 34 38 47 45 47 56 67 76 74 61 61 54 60 96 91 49 31 57 100 129 141 150 158 155 138 132 137 136 132 128 123 116 113 115 123 136 147 152 152 147 146 145 132 121 124 131 136 145 162 172 170 167 165 167 168 157 139 131 140 155 156 141 122 108 103 105 113 125 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 10 10 9 8 7 4 3 3 3 3 3 3 3 3 2 1 1 1 1 1 1 2 3 6 9 13 16 18 16 14 12 10 9 9 9 9 8 6 4 3 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 20 21 23 30 38 45 50 54 57 57 53 52 53 48 31 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 6 4 11 18 10 2 10 28 43 46 35 25 22 18 10 3 0 0 0 0 0 0 0 0 0 1 8 18 30 33 32 23 21 22 23 30 40 42 39 23 14 6 7 4 0 0 0 0 0 0 5 12 19 24 24 16 4 0 0 1 9 14 23 30 32 32 31 27 20 11 4 2 3 4 9 16 19 20 18 16 23 40 45 51 58 61 66 85 91 96 84 90 126 117 97 86 103 121 130 138 143 147 148 139 134 137 139 136 135 131 121 115 115 119 129 138 143 144 140 142 146 146 141 140 144 145 152 167 171 169 168 167 167 171 168 156 142 142 152 150 137 123 111 103 104 110 118 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 nan nan
nan nan nan nan nan nan 9 9 9 9 8 6 4 3 3 3 3 3 2 2 1 0 0 1 1 1 0 0 0 2 4 6 10 14 16 15 13 11 9 9 10 10 9 8 4 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 4 5 5 5 5 5 5 5 5 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 19 18 20 25 32 38 44 50 58 62 62 64 65 57 35 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 10 11 18 21 12 8 22 41 48 42 30 24 21 15 5 0 0 0 0 0 0 0 0 0 0 1 7 17 28 30 29 21 19 17 16 21 29 45 39 23 15 9 6 3 0 0 0 0 0 0 0 1 5 9 16 13 4 0 0 2 9 15 18 21 20 16 11 6 5 3 1 0 0 0 0 0 1 2 1 4 6 7 30 43 54 59 60 89 102 113 126 151 150 133 118 113 114 116 121 125 124 126 130 133 135 139 140 137 134 130 120 112 110 112 117 126 132 134 132 131 132 136 143 150 156 152 145 158 162 168 169 167 165 166 167 165 153 146 151 150 142 131 119 109 105 108 112 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 8 9 9 8 6 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 8 13 16 16 14 11 10 9 9 8 7 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 1 2 3 3 4 4 4 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 17 17 15 16 19 24 29 34 39 47 54 58 61 60 49 28 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 16 22 24 17 18 30 38 33 26 22 22 21 16 8 0 0 0 0 0 0 0 0 0 0 0 0 6 23 26 24 21 18 14 12 14 21 35 34 25 19 14 7 4 1 0 0 0 0 0 0 0 0 1 3 3 0 0 0 0 5 11 16 18 18 11 0 0 0 0 0 0 0 0 0 2 4 8 9 3 1 0 5 20 43 59 70 85 95 100 119 152 161 149 138 133 126 120 117 114 112 114 117 121 130 140 141 134 129 127 117 103 103 105 108 113 120 124 121 117 116 120 127 141 154 146 145 157 166 169 170 166 162 160 165 168 160 154 158 159 153 142 129 118 110 109 112 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 7 8 9 8 7 7 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 15 16 16 14 11 9 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 1 1 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 4 14 13 9 9 11 15 19 23 25 28 33 37 40 40 32 16 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 1 3 6 9 12 21 26 26 28 30 26 20 16 16 17 19 16 9 3 3 2 2 1 2 1 1 1 0 0 0 0 12 17 17 17 14 11 8 8 11 17 21 23 23 20 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 16 18 12 1 0 0 0 0 0 1 5 8 14 22 29 28 21 2 0 6 18 34 62 85 94 89 89 103 137 156 149 144 143 131 115 108 107 109 116 124 123 127 139 139 133 127 126 117 98 100 101 103 106 110 115 116 111 107 108 115 124 136 138 138 143 157 164 167 168 166 161 167 170 154 150 160 161 154 146 133 121 114 111 115 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 6 6 6 7 8 8 8 8 8 7 7 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 16 18 17 13 9 7 5 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 7 4 3 4 6 10 13 14 13 14 15 17 18 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 18 27 31 30 25 18 12 4 2 4 8 7 6 6 6 6 6 4 4 4 5 4 0 0 0 0 2 6 7 8 6 3 2 2 2 5 9 12 15 16 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 1 0 0 0 0 0 0 3 16 32 40 51 50 42 35 18 12 24 36 48 72 94 103 99 92 98 120 136 134 131 133 126 111 104 103 108 120 134 135 133 136 130 123 126 126 116 105 102 103 104 106 105 109 116 114 108 105 108 116 126 134 139 142 146 152 159 166 167 162 161 164 149 140 148 148 140 131 118 108 107 108 114 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 14 11 8 7 6 7 8 8 7 6 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 14 18 19 17 13 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 3 5 6 5 5 4 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 11 16 24 26 25 20 15 8 1 0 0 0 2 4 6 7 8 8 7 7 8 9 8 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 2 1 6 21 38 48 66 66 51 44 38 35 47 63 74 89 105 112 109 105 112 122 128 126 126 131 130 119 108 105 110 120 134 135 133 130 124 116 115 120 114 105 104 107 114 112 106 108 115 118 114 109 108 113 122 131 137 139 140 144 151 158 161 158 157 160 146 131 129 126 121 110 97 88 87 96 108 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 22 18 14 10 7 6 6 6 7 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 16 17 14 11 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 13 15 20 22 20 20 18 14 5 0 0 0 0 0 0 3 4 6 8 7 7 8 9 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 5 2 16 33 42 65 75 66 66 70 74 89 100 102 106 114 124 132 136 137 139 140 131 126 126 133 128 116 113 118 124 129 129 126 124 124 126 129 129 116 103 101 106 113 115 114 114 116 118 117 113 110 110 115 125 135 141 141 143 146 148 148 148 152 152 139 125 119 115 112 105 95 87 86 94 107 116 118 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
nan nan nan nan nan 29 26 21 15 11 8 6 5 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 2 8 11 11 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 8 17 20 23 26 24 22 20 18 14 3 2 0 0 0 0 0 0 1 1 3 3 4 4 7 8 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 24 21 11 14 29 47 67 79 82 94 106 107 111 119 122 120 122 130 139 148 155 154 152 141 125 116 118 119 119 124 128 128 125 122 119 118 123 134 146 146 126 106 100 104 111 118 122 123 121 121 122 114 109 106 106 115 128 138 143 146 146 144 138 135 140 142 133 121 113 111 112 108 102 99 100 105 114 119 119 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 19 23 26 24 21 17 14 11 7 3 2 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 14 13 13 13 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 19 24 26 27 27 25 23 21 15 6 6 5 1 0 0 0 0 0 0 0 0 1 1 1 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 37 38 28 27 41 60 73 81 94 116 125 116 119 134 138 133 132 133 132 138 148 148 144 132 115 103 99 104 111 122 129 129 126 121 114 111 115 127 144 148 130 110 103 104 108 115 121 125 124 123 124 122 116 110 105 108 118 129 139 145 148 145 137 128 127 132 130 122 115 114 115 113 109 104 103 105 113 120 118 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
nan nan nan nan 10 10 14 18 20 21 20 18 13 7 2 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 14 14 16 19 20 17 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 9 17 22 23 24 23 20 18 12 6 6 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 20 43 54 50 46 59 80 92 95 109 134 133 120 124 137 138 137 142 142 133 126 132 132 130 121 108 100 100 102 105 112 120 125 126 121 113 108 110 116 128 134 125 111 105 104 104 103 108 115 118 118 118 124 125 121 115 111 112 121 132 141 146 146 139 127 121 124 129 131 127 120 117 116 112 108 102 102 110 118 118 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
nan nan nan nan 9 5 6 9 12 16 18 19 19 16 10 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 12 17 21 20 16 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 8 13 13 13 13 11 7 3 4 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 25 49 70 72 63 68 89 106 113 123 142 139 128 125 123 121 127 138 145 144 138 131 128 127 124 116 111 111 112 111 111 114 118 119 114 108 106 107 109 114 120 123 113 105 102 100 93 91 100 108 112 115 123 130 132 129 123 120 122 128 135 138 140 138 129 120 117 127 139 142 129 118 113 110 109 110 111 113 115 118 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
nan nan nan nan 11 6 4 4 7 9 12 15 17 19 18 13 9 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 1 3 6 10 15 17 17 14 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 5 6 5 7 7 5 5 4 2 1 1 2 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 16 29 54 81 94 78 71 83 98 111 125 138 132 117 107 99 98 106 118 132 143 146 141 135 132 130 126 122 122 122 120 118 118 117 112 103 98 102 104 106 107 110 117 113 106 102 100 96 92 96 103 110 118 127 135 139 139 136 131 128 128 130 130 131 132 131 122 118 126 136 141 136 125 116 111 113 118 120 118 114 111 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 14 13 9 6 5 6 7 10 11 12 13 16 17 14 10 6 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 2 4 7 11 14 15 13 8 4 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 6 6 7 13 17 13 12 9 7 4 1 1 1 2 3 3 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 14 19 26 46 74 99 99 81 71 76 89 107 119 110 95 85 82 86 92 100 113 127 137 141 138 134 131 127 124 124 124 124 123 122 120 113 101 96 97 101 105 108 110 111 111 106 101 98 100 102 101 101 105 115 128 135 138 138 141 140 137 134 130 126 124 125 127 126 125 130 134 134 134 130 122 116 116 121 123 123 120 115 111 nan nan nan 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 9 6 5 5 8 10 11 9 8 10 16 19 14 9 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 12 13 12 10 6 3 2 1 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 2 5 8 9 9 10 14 20 23 22 18 14 11 6 2 1 2 2 3 4 4 4 4 4 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 20 24 33 49 79 100 89 69 61 70 86 97 95 87 80 81 84 86 92 101 111 122 129 130 131 129 126 122 123 123 123 124 124 123 119 112 103 97 98 103 109 112 112 110 106 98 94 100 106 104 98 96 102 119 128 129 128 135 140 142 140 135 125 120 120 124 125 126 131 135 134 132 129 124 119 119 121 124 124 126 128 125 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 10 9 8 6 4 2 4 7 9 8 6 6 11 18 20 15 10 9 8 7 4 2 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 12 12 11 8 5 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 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 1 3 5 8 10 14 16 19 22 23 21 20 18 15 13 9 5 4 3 3 3 4 4 5 5 5 5 6 8 7 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 1 2 4 3 1 0 0 0 2 13 20 25 32 51 82 94 80 64 64 78 89 90 85 83 86 84 82 89 96 98 104 111 113 118 120 123 122 121 120 119 120 120 121 123 122 115 106 101 102 105 109 111 111 108 102 98 101 105 102 95 90 88 96 108 113 114 119 128 139 145 141 129 119 118 122 124 125 128 133 134 133 129 125 124 128 130 130 127 130 134 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 11 11 8 4 1 0 2 4 5 4 3 6 13 20 20 15 12 11 11 9 7 4 3 2 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 8 9 7 5 5 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 4 5 5 5 4 2 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 7 10 13 17 21 25 25 22 19 17 15 14 12 10 9 7 6 5 4 4 4 5 5 5 5 5 7 8 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 6 3 0 0 0 0 4 11 18 24 33 54 79 85 74 69 77 89 95 94 94 94 90 87 92 94 93 93 96 97 100 104 108 112 113 114 115 116 116 115 116 119 119 115 110 105 102 101 106 111 113 111 108 109 108 104 97 90 84 80 82 90 94 100 113 129 144 148 140 128 124 126 128 128 127 130 132 132 130 126 129 137 142 141 137 133 133 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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18 20 22 23 22 17 10 4 1 0 0 0 0 0 1 3 9 14 14 13 11 10 10 11 15 19 16 11 14 20 26 27 24 21 18 17 18 20 22 24 25 26 24 19 14 10 6 3 2 1 1 2 4 5 5 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 5 5 5 5 4 1 0 0 1 5 11 15 18 16 10 4 3 4 4 5 4 3 3 4 5 5 4 3 4 6 8 8 6 3 1 2 3 5 7 8 9 9 10 11 11 13 14 14 16 18 21 23 25 27 26 25 24 24 20 14 8 4 2 1 0 0 0 0 0 0 0 0 11 14 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 22 44 64 70 65 63 68 80 98 111 109 90 62 38 28 26 27 24 17 7 2 0 0 0 0 0 0 0 1 6 22 52 86 111 119 115 116 123 130 136 136 122 107 109 116 106 85 69 69 80 92 99 102 106 119 140 146 136 127 123 112 107 121 144 155 159 155 142 131 134 145 151 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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9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 7 10 15 25 31 26 20 22 28 32 33 30 26 21 18 13 13 14 15 16 20 23 24 25 23 19 15 12 11 12 10 6 3 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 0 0 4 13 25 32 30 24 16 9 4 2 0 1 2 2 2 2 2 3 4 5 6 7 6 7 8 9 9 8 6 4 4 7 9 7 7 8 9 8 8 8 7 6 6 8 11 13 14 17 22 26 28 28 25 21 16 11 6 4 3 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 4 7 4 0 0 0 3 3 1 0 0 0 1 8 18 30 45 59 68 75 82 93 101 92 65 39 22 15 11 10 10 3 0 0 0 0 0 0 0 0 0 0 0 2 8 33 89 120 125 127 128 132 137 138 134 126 114 97 85 78 69 62 70 89 96 92 99 113 106 94 98 109 109 106 113 123 128 133 137 130 124 127 132 135 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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