Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 3 3 4 4 4 4 5 5 6 6 5 4 4 5 6 7 7 6 5 5 4 3 4 4 5 7 9 10 11 14 15 14 11 10 9 8 7 6 6 5 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 6 6 6 7 7 6 7 7 7 6 6 7 6 5 4 4 5 7 7 7 7 5 4 3 3 2 1 0 2 6 9 7 6 4 6 11 11 -2 2 3 2 4 6 2 5 8 5 5 5 5 6 8 8 3 1 5 7 4 5 6 3 2 5 9 8 3 -2 4 16 14 0 -8 -6 1 5 3 -1 2 3 1 -1 -2 0 3 4 7 2 -1 1 3 3 2 -1 -1 -0 2 3 11 31 44 32 14 6 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 5 6 7 8 10 12 13 12 10 7 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 4 4 4 4 3 3 4 4 4 3 3 4 5 4 4 4 5 5 5 5 5 6 7 6 4 4 4 4 4 4 3 1 1 2 3 4 4 4 4 5 5 5 4 4 3 2 2 2 3 3 4 5 6 7 7 8 9 11 10 8 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 4 5 5 6 7 6 6 5 4 3 3 3 4 9 17 22 16 13 12 12 9 1 -3 -6 -8 -10 -3 2 3 5 4 3 5 6 6 4 -1 -5 -6 -4 -3 -2 0 3 4 4 4 5 6 8 9 11 12 10 8 9 11 13 14 13 13 11 10 10 10 11 12 13 12 10 9 8 7 7 7 5 4 3 4 6 7 10 13 15 12 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 3 3 3 3 4 5 6 7 6 4 3 3 4 4 5 5 5 5 4 4 3 3 3 4 5 5 6 8 9 10 9 9 9 9 9 9 9 7 6 5 4 4 4 4 4 4 4 4 4 5 5 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 5 5 4 4 5 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 5 5 4 5 5 5 6 6 5 6 5 5 4 5 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 7 8 7 6 5 6 5 4 5 6 6 7 7 6 5 4 3 2 1 -1 1 7 10 8 4 4 6 10 16 9 -1 3 2 5 4 6 3 2 3 6 9 10 7 10 15 10 5 3 4 4 4 8 5 -0 -0 5 11 11 5 -5 -4 10 14 6 -2 -4 3 9 7 4 3 4 3 3 -1 -5 -3 3 8 5 -1 -0 1 2 4 5 5 6 9 14 27 39 36 20 7 4 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 6 7 8 9 11 12 12 11 9 8 6 5 5 4 4 3 4 5 5 4 4 4 4 3 2 3 5 6 5 4 3 3 3 4 5 6 4 4 4 4 4 4 5 5 4 5 5 6 7 6 3 3 4 3 3 3 3 3 2 1 2 3 4 3 4 5 5 5 4 4 4 3 2 2 3 3 3 4 5 6 7 7 7 8 10 10 8 6 5 4 3 2 3 3 4 4 4 4 4 4 3 4 3 4 4 5 5 5 5 5 4 4 5 5 6 6 7 7 6 5 5 4 3 3 4 5 9 15 18 16 14 14 15 14 12 13 7 3 2 4 5 8 8 7 8 8 5 4 3 2 -0 -0 -0 -1 -1 1 3 4 4 4 4 4 5 7 9 8 6 7 8 9 11 11 12 13 12 12 11 11 10 9 7 7 7 8 8 7 6 5 4 4 4 5 6 8 9 10 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 1 1 2 2 2 3 2 3 4 6 7 6 5 4 3 4 4 4 5 5 4 4 4 3 4 4 4 3 3 3 4 5 5 4 5 7 8 8 8 8 7 6 5 4 4 4 4 3 4 3 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 4 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 7 7 6 6 7 8 8 6 5 5 5 5 6 6 6 6 6 6 5 4 3 2 1 -0 4 9 12 9 3 -1 4 11 16 3 1 5 1 5 6 6 4 0 -1 3 6 9 7 7 10 9 6 5 4 3 6 5 2 2 3 6 11 13 9 2 -1 3 6 6 5 5 9 9 9 7 6 9 7 4 1 -2 -2 1 7 7 2 -1 0 3 6 10 12 13 18 30 41 38 22 9 5 5 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 5 6 7 8 9 11 12 12 12 11 10 8 7 6 4 3 3 4 5 5 4 4 4 2 1 1 3 3 4 4 4 4 4 5 6 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 6 1 -2 1 2 -0 -1 2 3 2 2 2 3 4 4 4 5 5 5 4 3 3 3 3 2 3 3 4 4 5 6 6 7 7 8 9 9 8 7 5 4 3 2 3 3 4 4 4 5 5 4 4 3 3 4 4 4 5 5 5 5 4 5 5 5 6 6 7 7 7 7 6 6 5 4 4 4 4 7 11 13 14 12 10 11 11 10 9 8 5 5 5 5 5 5 7 7 5 4 5 6 5 4 4 3 2 3 4 4 4 4 4 3 4 5 6 5 5 5 6 8 8 9 9 10 10 10 9 9 9 7 6 6 7 7 8 8 7 5 4 4 4 4 5 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 1 2 2 2 2 2 2 3 5 6 7 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 3 3 3 3 3 2 3 4 5 5 5 5 6 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 6 5 5 5 4 4 4 4 5 6 6 5 5 5 5 5 6 6 7 7 6 6 8 8 7 5 4 4 5 5 6 6 5 5 5 5 4 3 2 0 1 5 10 11 9 6 -2 -1 5 8 3 3 5 5 3 7 8 4 -1 0 3 4 5 3 1 1 3 2 3 3 1 1 1 1 5 8 8 9 13 13 10 7 7 7 4 7 13 13 7 4 4 9 15 12 5 -2 -3 1 4 7 8 4 1 2 4 8 12 18 24 33 43 41 26 11 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 7 8 9 10 13 13 13 12 11 10 9 7 4 3 3 5 6 5 5 4 3 0 -0 1 3 4 3 5 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 3 -3 -3 0 1 -0 1 3 3 3 3 4 4 4 4 5 5 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 7 7 9 10 9 8 5 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 5 4 4 4 4 5 7 9 9 7 7 6 5 5 5 5 6 6 5 3 3 5 6 6 6 6 5 4 4 6 6 5 5 5 4 5 4 4 4 4 4 4 4 5 5 5 6 6 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 5 5 5 5 4 4 5 5 5 5 5 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 3 2 2 1 1 2 2 2 2 3 3 4 6 6 6 7 6 5 4 4 3 3 4 5 5 6 6 6 5 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 3 3 4 4 3 3 3 4 4 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 6 6 6 5 4 4 4 5 5 6 6 6 6 6 5 5 6 6 6 7 6 6 6 7 8 8 6 4 4 4 5 5 6 6 6 5 5 4 3 2 1 2 5 9 9 7 6 3 3 5 3 2 7 6 6 1 7 12 5 0 2 6 7 2 2 -0 -3 -5 -5 -3 -2 -3 -0 4 3 8 10 9 9 12 15 15 8 7 11 8 8 11 11 10 4 4 9 12 12 8 3 1 2 4 5 6 6 5 4 4 9 15 23 33 42 40 27 13 6 5 5 5 4 4 4 4 3 4 4 4 3 3 4 4 4 4 5 4 4 5 6 7 8 10 13 15 16 15 13 11 9 7 4 3 4 5 5 5 4 2 1 -0 1 3 5 7 8 6 6 5 6 6 6 6 5 6 5 6 5 5 5 5 6 6 6 6 5 4 4 4 -0 -4 -2 5 6 3 3 4 4 4 5 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 5 6 6 6 7 7 8 10 10 9 6 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 3 2 2 1 2 3 4 6 7 6 6 5 4 4 4 6 8 7 6 6 6 7 8 7 7 6 5 6 7 7 6 6 5 5 4 5 4 4 4 4 4 4 4 5 5 5 5 6 5 5 4 4 5 6 7 8 10 10 9 9 8 7 7 6 5 6 6 4 4 5 5 5 5 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 3 3 2 1 1 1 1 2 2 2 3 4 4 6 7 7 7 6 4 4 3 4 5 5 6 6 6 5 4 3 4 3 3 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 3 3 3 4 3 3 4 3 3 4 4 3 3 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 6 6 5 5 4 4 5 6 7 7 6 7 6 7 7 7 7 8 7 6 6 5 6 7 7 7 5 4 4 5 6 6 6 6 6 5 5 3 2 1 2 3 6 6 7 7 6 6 7 4 2 9 8 3 2 3 7 7 4 3 9 8 1 2 2 -1 -4 -3 -2 -1 0 8 12 8 8 8 8 7 9 12 15 6 -0 6 8 6 6 6 8 9 8 8 8 8 10 9 5 3 5 6 8 9 8 5 5 10 17 25 33 35 24 12 6 5 5 5 5 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 8 10 14 17 17 16 14 11 9 6 4 4 5 6 5 4 3 2 -0 1 3 5 6 9 9 7 5 5 6 6 6 6 5 4 4 5 5 5 5 6 6 6 7 6 5 4 4 4 3 -2 -3 3 6 5 4 5 6 6 5 4 3 4 4 3 3 3 4 3 3 4 3 4 4 4 5 5 6 6 6 7 7 7 9 10 9 7 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 4 4 4 3 3 2 2 2 1 1 -0 -0 1 2 4 5 6 6 6 6 5 5 6 6 8 10 10 7 9 9 9 9 8 8 9 10 8 7 6 5 6 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 4 5 6 8 9 10 10 10 9 7 6 6 6 7 6 5 4 4 6 7 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 nan nan nan nan 3 3 4 3 3 2 2 1 1 2 1 1 2 3 3 4 5 7 7 7 6 4 4 3 4 5 6 6 5 4 4 4 4 4 4 3 4 3 3 3 3 2 2 2 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 7 6 6 5 5 5 5 6 7 7 7 8 7 8 7 8 8 8 8 8 7 6 5 5 6 7 7 5 5 5 6 6 6 6 6 6 5 5 4 3 2 1 1 3 5 7 8 5 4 8 7 4 6 3 2 4 4 3 6 6 4 8 6 -0 2 5 3 1 4 3 2 5 13 12 10 6 6 5 4 4 5 11 8 -0 -0 3 2 6 5 2 4 6 7 5 4 7 10 8 6 6 9 11 9 7 5 5 10 14 20 27 23 12 6 5 5 5 5 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 6 6 8 10 14 18 18 15 12 10 8 6 5 5 5 5 4 3 2 1 2 3 5 6 7 9 10 7 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 6 6 5 5 5 3 0 -2 2 5 5 6 7 6 5 3 3 4 4 3 3 3 4 4 3 3 3 4 4 5 6 6 6 6 7 7 6 7 8 9 9 8 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 3 2 2 3 4 3 2 1 2 2 3 4 3 2 3 4 4 5 5 4 5 5 6 7 6 5 6 7 8 9 9 8 9 10 11 11 11 10 8 7 6 6 6 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 7 7 9 9 10 9 7 6 6 7 8 7 6 4 5 7 8 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 3 4 4 4 4 3 2 2 2 2 2 2 2 3 4 5 6 7 6 5 4 4 4 5 5 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 1 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 6 7 7 7 8 8 8 8 8 9 9 9 10 9 8 6 6 5 5 6 7 6 5 5 6 6 7 6 6 5 5 5 4 3 2 1 1 3 6 7 7 5 5 11 9 5 6 4 3 4 6 4 5 5 7 7 2 -0 2 3 2 3 5 2 1 5 8 6 7 3 2 2 3 2 1 7 12 6 0 -1 1 7 6 3 3 4 5 3 1 3 5 7 7 8 13 11 6 3 3 7 10 11 19 24 16 8 5 5 5 5 4 4 4 3 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 5 6 7 9 13 17 17 13 10 9 7 6 6 5 5 4 3 2 1 2 4 5 6 6 7 8 10 9 6 6 7 6 6 7 6 5 5 5 6 7 7 6 6 7 7 7 7 7 7 7 7 6 5 2 1 4 6 7 8 7 4 3 4 5 5 4 3 3 4 3 3 3 4 3 4 5 5 5 6 7 6 7 6 7 7 8 8 8 6 5 4 3 3 3 3 3 4 5 5 4 5 5 5 5 6 6 6 6 6 6 5 4 4 4 3 2 2 3 5 6 6 5 3 4 4 5 6 6 5 5 5 4 4 5 4 3 5 6 7 6 4 2 3 5 6 6 6 7 9 12 13 13 12 11 8 6 6 6 6 4 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 6 6 6 6 7 8 9 9 8 7 5 6 8 10 10 7 4 5 8 8 7 6 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 2 2 2 3 4 5 5 5 4 3 3 3 2 2 2 2 2 3 4 5 6 5 5 5 4 4 5 5 5 4 3 3 4 4 4 4 3 3 3 3 3 3 3 2 2 2 1 2 2 1 2 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 5 5 5 6 7 8 8 9 9 9 9 10 10 10 10 10 9 8 6 5 5 5 6 6 5 6 6 7 7 6 6 6 5 5 5 3 2 1 1 3 4 6 7 5 6 10 9 8 7 6 6 10 8 4 3 5 9 9 3 2 3 3 5 4 5 3 4 7 4 2 2 -0 -2 0 4 4 2 5 14 13 5 -2 1 5 3 4 7 8 6 4 3 3 4 4 5 8 11 8 3 2 6 12 11 13 22 21 11 6 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 6 8 12 15 15 12 9 7 6 6 6 5 5 3 2 2 2 4 6 6 6 6 6 7 11 14 12 9 7 6 6 7 7 6 5 4 6 7 7 7 7 7 7 6 7 8 8 8 8 8 8 6 3 5 7 9 8 6 4 3 5 6 7 5 4 3 3 3 3 4 4 3 4 4 5 6 6 6 6 7 6 6 7 7 7 7 8 6 5 4 3 2 1 1 1 2 3 4 5 5 5 5 5 6 6 5 5 5 5 5 4 3 2 1 1 3 7 9 9 6 5 5 5 4 4 4 5 4 3 3 4 4 4 4 4 5 6 8 7 4 2 3 4 5 5 5 8 11 13 13 14 13 11 7 6 6 6 5 4 3 2 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 6 5 5 6 8 8 8 6 5 7 8 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 4 3 2 3 4 5 6 5 5 4 4 3 2 2 2 2 2 3 4 4 5 6 6 5 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 5 5 6 6 7 8 8 9 9 10 10 11 11 11 11 11 11 9 7 6 5 5 5 5 6 6 6 6 7 6 6 6 5 5 4 3 3 2 2 2 2 3 6 8 8 5 5 7 6 3 6 9 8 6 5 5 6 8 7 6 4 7 13 11 10 9 9 9 6 3 -1 -2 -0 4 6 6 5 6 11 12 6 -1 3 5 5 6 6 9 7 2 2 4 7 7 7 10 10 5 2 3 9 11 9 16 23 16 7 5 4 5 4 4 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 6 8 10 12 13 11 8 6 5 6 6 5 4 3 3 3 4 6 6 6 5 5 5 6 10 15 17 15 13 11 9 8 8 7 6 6 5 5 6 7 7 6 5 6 7 9 9 8 7 8 7 6 5 6 8 10 8 4 2 3 6 7 7 7 6 5 4 4 4 4 4 3 3 4 4 4 5 6 6 6 5 4 5 6 7 7 7 7 7 7 5 4 3 1 0 -0 -0 1 3 4 4 5 4 4 4 3 4 4 4 5 4 3 3 2 1 3 8 12 9 7 6 5 4 4 4 3 4 4 3 3 4 4 5 6 6 6 7 10 11 9 5 4 4 4 5 5 7 9 11 12 13 14 13 10 8 7 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 8 8 8 7 6 5 4 4 5 7 6 6 6 5 6 6 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 5 4 2 1 2 4 6 6 6 5 4 4 4 3 3 2 2 2 2 3 4 6 6 6 5 4 4 4 4 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 5 4 5 5 5 5 4 4 4 5 5 4 5 5 5 5 6 6 5 6 6 7 7 8 9 10 11 12 12 12 12 11 11 11 11 9 7 6 5 5 4 4 5 6 6 7 7 7 7 6 6 5 4 4 3 3 2 1 1 2 5 10 11 4 3 5 5 2 4 5 7 6 4 3 2 4 9 8 5 9 12 15 14 14 10 7 7 6 2 1 5 7 4 6 6 6 8 7 4 2 5 5 7 6 7 7 3 0 0 2 8 11 11 11 10 5 1 2 5 5 7 17 20 11 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 6 8 10 12 11 9 6 5 5 5 5 4 4 4 5 6 6 6 5 4 4 4 5 6 10 14 16 16 15 14 12 11 10 9 9 8 7 7 7 7 6 6 6 7 8 8 8 7 8 8 8 7 6 8 10 8 4 1 3 5 6 6 6 7 7 5 5 4 4 4 4 4 3 3 3 4 5 5 5 4 2 1 3 5 6 6 7 7 8 8 7 6 5 3 1 -1 -2 -1 1 2 3 3 3 2 1 1 2 3 3 3 3 2 2 2 4 9 13 10 8 7 5 4 4 4 4 4 5 6 5 5 7 9 10 10 9 8 7 8 8 5 4 4 5 5 5 6 7 9 11 11 12 13 13 11 9 8 8 8 7 6 5 4 4 4 4 4 5 5 5 5 6 6 5 5 5 6 6 6 6 7 7 6 5 4 4 5 6 6 5 4 4 4 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 2 3 4 4 4 2 2 2 4 6 6 5 5 4 4 4 5 4 3 2 1 2 3 4 6 6 6 5 4 3 3 3 3 3 2 3 3 3 3 3 3 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 4 4 3 4 4 3 3 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 6 6 7 7 7 9 11 12 13 13 13 13 12 11 11 11 9 8 6 5 4 4 4 4 5 7 8 8 8 7 6 6 5 5 4 4 3 2 1 1 2 8 14 14 7 7 4 2 3 5 7 8 6 4 0 0 3 8 8 5 4 3 8 13 15 11 4 5 9 7 5 8 8 4 6 6 4 5 5 5 5 4 5 5 3 5 2 4 4 3 1 2 8 11 12 11 6 -0 1 4 4 9 18 16 7 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 6 7 9 10 10 9 7 6 6 6 6 5 6 5 6 6 6 6 5 4 4 4 4 4 6 7 9 10 10 12 12 11 11 12 12 11 10 9 7 7 7 7 7 8 9 10 11 12 12 12 11 7 5 6 8 7 4 2 2 3 3 4 4 6 6 6 6 5 4 3 4 4 3 4 3 3 4 5 5 5 3 -1 -5 -3 3 6 6 6 7 8 8 8 8 7 6 4 1 -2 -2 -2 -2 -0 2 2 1 1 1 3 3 3 2 2 3 3 6 10 11 9 8 7 5 4 4 3 4 5 6 8 9 10 9 9 9 10 8 5 5 4 4 4 4 5 5 5 5 5 7 8 9 9 10 11 12 12 10 9 9 8 7 6 6 6 5 4 4 5 5 5 5 5 6 6 6 5 5 5 6 6 6 7 7 6 6 6 6 5 5 6 5 3 3 4 5 6 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 nan 4 4 4 5 5 5 3 3 3 4 4 5 5 5 4 5 5 5 4 4 3 2 2 3 4 5 6 6 5 4 3 2 3 3 2 2 2 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 4 6 6 5 5 5 6 6 7 7 9 11 12 12 13 14 15 15 13 12 11 10 8 7 5 4 3 3 4 6 7 7 8 8 7 6 5 5 5 4 4 3 2 1 1 2 10 19 14 7 8 1 1 3 5 0 3 10 11 4 2 4 7 8 7 3 -1 2 8 14 15 9 3 4 7 7 8 7 6 5 7 4 2 4 4 4 2 5 3 3 4 3 7 6 1 -2 -1 6 11 13 12 4 -1 2 5 7 14 18 12 5 4 4 4 4 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 6 6 7 8 9 9 9 7 6 6 6 6 6 6 5 6 6 6 5 5 4 3 3 3 3 3 3 4 4 4 5 6 7 8 8 8 9 9 10 10 10 10 10 10 11 10 11 13 15 16 15 11 7 4 4 4 3 2 1 2 2 3 3 4 4 5 5 5 5 4 3 4 4 5 5 4 3 3 4 5 6 6 3 -4 -9 -6 2 6 6 6 6 7 8 9 9 9 9 8 5 1 -3 -5 -6 -3 0 3 3 1 2 3 3 1 2 2 3 6 7 8 7 8 8 5 4 3 4 4 5 7 9 9 9 7 5 4 4 4 3 4 3 3 3 4 4 5 5 5 5 6 7 7 8 10 10 11 10 10 10 9 8 8 8 7 7 6 6 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 8 8 7 7 5 3 3 4 5 5 5 5 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 5 6 6 6 5 6 6 6 5 4 3 3 4 4 4 4 4 4 5 6 5 5 4 3 2 2 4 5 6 6 5 4 3 2 2 2 1 1 2 3 3 4 4 3 3 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 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 3 4 4 4 4 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 6 7 9 10 11 12 14 16 18 18 16 14 11 10 8 7 6 5 4 3 4 6 6 6 7 8 7 5 4 5 6 5 4 3 1 1 2 4 10 17 11 7 6 1 5 2 4 -1 5 14 13 5 2 3 7 9 8 7 4 2 6 14 17 14 8 2 0 5 7 8 6 4 8 6 2 2 4 5 4 5 4 4 4 8 10 7 -1 -4 1 7 12 14 11 3 -0 4 8 11 17 15 9 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 6 6 7 8 8 8 7 6 6 6 5 6 6 6 6 6 5 5 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 5 6 8 10 11 11 11 10 8 8 9 11 12 12 12 9 6 5 4 3 1 1 0 0 1 3 3 4 4 4 4 3 3 4 2 0 3 5 5 5 4 3 3 4 7 8 8 6 1 -4 -0 5 6 6 6 7 7 7 8 9 10 11 11 9 5 -0 -6 -9 -5 1 5 2 -0 1 2 2 4 3 3 6 6 5 5 7 9 8 5 4 6 7 7 8 10 8 5 4 3 3 2 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 8 9 10 10 10 10 10 9 9 9 10 9 8 7 7 6 6 6 6 6 5 5 6 6 6 5 6 6 6 6 6 6 6 7 8 9 11 12 9 5 3 3 3 5 5 5 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 7 7 7 6 6 6 6 6 5 4 3 3 3 4 4 4 4 4 5 6 6 5 4 3 3 3 3 5 5 6 5 5 4 2 2 1 1 2 2 2 3 3 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 4 4 4 3 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 6 6 7 8 8 10 12 16 20 23 23 19 15 12 10 9 7 6 5 4 3 5 6 6 6 7 7 7 6 5 7 7 5 4 3 1 0 2 4 7 9 8 11 5 6 8 1 -1 2 5 13 8 6 2 2 6 7 7 10 11 6 5 10 14 15 13 7 3 4 6 7 6 4 6 7 4 3 6 7 6 5 5 6 6 9 11 10 3 2 4 9 13 14 9 2 2 6 9 14 17 12 6 5 4 4 4 4 4 4 4 5 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 6 6 7 7 7 7 7 6 7 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 2 2 1 1 1 1 1 2 2 2 3 4 5 6 7 8 7 6 4 6 8 9 8 7 6 6 6 7 6 4 2 1 1 0 1 2 3 4 5 6 5 3 1 3 2 -3 -4 1 5 6 5 4 3 4 7 10 13 11 8 7 4 5 6 5 6 5 5 6 5 6 7 7 9 12 11 8 2 -6 -9 -6 -1 0 -2 -1 1 3 5 6 5 5 5 5 5 6 10 10 8 6 7 9 10 10 11 8 5 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 7 7 6 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 7 11 13 12 8 4 3 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 5 6 6 6 5 4 5 6 7 7 6 5 4 3 3 3 4 4 4 4 5 6 5 5 4 3 4 4 4 5 6 5 5 4 4 3 3 2 2 1 2 2 3 3 4 3 3 3 2 3 3 3 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 3 4 4 4 4 3 3 3 3 3 4 3 4 3 4 3 4 3 3 4 4 4 4 4 4 4 5 4 4 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 8 10 14 18 22 27 28 22 16 12 10 9 7 6 4 4 4 4 6 6 5 6 7 8 8 8 7 6 5 4 3 1 0 2 3 4 5 9 13 4 9 9 5 -0 7 3 6 6 10 7 6 4 4 4 9 10 5 2 6 12 13 12 8 7 7 6 5 6 5 6 7 6 6 9 8 5 5 7 7 8 9 10 11 7 6 5 8 12 13 7 3 4 7 10 15 15 9 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 7 7 7 6 7 7 6 6 6 6 6 5 5 5 4 3 3 3 2 3 3 2 2 1 1 1 2 2 2 2 3 3 4 4 4 5 5 6 5 5 5 7 8 8 7 5 4 4 5 7 7 6 4 3 2 1 1 1 2 3 5 7 9 9 6 5 7 2 -4 -5 0 4 5 5 4 5 6 10 15 15 10 8 7 5 5 5 4 4 3 3 3 3 3 2 3 5 10 12 10 3 -5 -7 -5 -0 0 0 2 4 5 6 6 4 4 5 5 5 7 8 9 5 2 6 8 8 8 7 4 2 3 3 3 3 3 3 3 3 3 3 3 4 5 5 4 5 6 6 5 5 6 8 9 8 8 9 9 8 9 8 8 8 7 7 6 6 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 8 10 11 9 5 3 3 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 nan nan nan nan nan
nan nan nan nan nan 2 3 4 5 4 4 3 4 4 6 8 7 6 5 4 3 3 3 3 3 3 4 5 5 5 5 5 4 3 3 3 4 5 6 6 6 6 5 5 4 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 4 3 3 3 3 3 4 3 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 10 13 16 19 24 29 30 23 16 12 10 8 7 5 4 4 4 5 5 5 5 5 7 8 8 7 6 5 5 5 3 2 1 2 3 3 5 12 9 3 6 7 7 7 11 5 6 12 14 11 10 5 4 3 3 1 -1 -0 5 12 13 11 4 0 3 5 4 4 4 5 7 6 5 8 9 6 5 7 7 8 9 7 7 8 8 5 5 9 10 7 4 6 9 12 15 13 7 4 4 4 4 5 5 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 5 5 5 6 7 7 6 5 5 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 2 1 1 1 2 2 3 3 4 4 4 4 5 4 4 5 6 6 6 7 7 7 7 6 5 5 5 5 6 7 6 5 5 4 3 2 2 2 3 4 5 8 11 11 10 11 10 4 -1 -4 -1 3 3 3 3 5 7 11 13 10 5 5 4 4 4 3 2 2 1 -0 -1 -0 0 -2 -2 2 8 11 11 5 2 3 3 4 4 6 7 7 7 6 4 4 5 4 4 5 6 8 6 2 3 4 5 6 5 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 5 5 5 5 5 6 7 8 9 8 8 8 7 8 8 8 7 7 6 6 6 6 7 7 6 6 6 6 6 6 5 6 6 6 6 7 7 6 6 6 8 7 8 7 5 3 3 3 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 3 3 3 3 3 3 3 4 5 7 7 6 5 4 4 3 3 3 2 3 3 4 4 4 5 4 4 3 3 3 3 4 5 6 6 7 6 6 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 3 2 2 3 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 9 12 16 19 21 23 27 28 22 15 10 9 8 6 4 4 3 4 5 5 6 6 5 7 8 7 6 4 5 5 5 4 2 2 3 4 4 7 11 8 3 2 5 4 7 4 6 6 14 11 8 10 5 5 3 1 1 -3 -1 5 10 13 13 4 -3 -1 3 3 1 0 3 5 3 0 3 5 6 5 5 6 9 8 4 4 8 8 3 2 7 9 7 6 7 9 12 14 11 6 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 1 1 2 2 3 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 6 6 5 5 5 5 5 6 5 5 5 4 4 4 4 3 4 4 4 5 7 8 8 10 10 6 3 -2 -4 -1 -1 -1 -1 2 5 6 7 7 5 4 4 3 3 3 2 1 -0 -2 -3 -3 -1 -0 -1 1 5 9 11 11 8 7 7 6 7 8 10 10 9 7 6 5 5 4 4 3 5 9 10 7 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 3 3 2 2 2 3 4 5 5 5 5 5 6 7 8 8 8 7 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 6 7 7 7 6 6 6 7 8 8 6 4 3 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 2 2 2 2 2 2 2 3 3 3 2 3 4 6 6 6 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 6 6 7 7 6 6 5 4 3 3 4 4 4 5 5 5 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 8 10 15 19 21 21 22 23 22 18 13 10 8 6 4 4 3 3 4 5 6 6 7 7 8 9 8 5 4 5 6 5 4 2 2 3 5 6 8 9 8 0 -1 4 2 8 2 1 -0 7 4 2 6 5 7 5 3 3 -1 0 4 7 10 14 9 4 1 3 4 2 -0 1 3 0 -2 -1 3 5 3 3 6 10 8 3 3 7 6 3 5 7 8 9 7 7 7 11 13 10 6 4 4 4 5 4 4 5 5 5 5 4 5 5 5 5 5 4 3 3 4 4 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 3 3 2 2 1 2 2 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 6 5 2 1 -1 -1 -0 -2 -4 -3 1 3 4 4 4 4 4 3 3 2 2 1 -0 0 1 1 2 4 5 4 5 6 8 9 9 7 5 5 7 8 11 13 13 10 7 5 4 5 6 3 3 6 8 7 5 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 2 1 0 1 2 3 3 4 5 5 5 5 5 7 8 8 8 6 4 4 6 6 6 6 6 6 6 7 7 7 8 8 7 6 6 6 6 6 6 5 6 7 7 7 6 6 6 7 8 7 6 5 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 3 2 2 2 2 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 5 4 4 3 3 3 3 4 4 4 4 4 4 3 3 2 2 3 3 4 5 6 7 7 6 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 8 12 17 20 20 19 19 18 16 14 12 9 7 5 4 3 3 3 4 4 5 7 8 8 9 9 8 6 5 5 6 5 3 2 2 3 6 7 6 6 7 1 -1 2 2 9 14 6 -3 -1 -0 0 0 6 9 9 5 5 2 3 3 5 8 10 9 7 4 4 6 4 3 4 2 1 3 3 4 3 2 3 5 8 8 6 6 6 3 3 8 8 9 9 8 7 6 10 14 10 6 4 4 4 5 4 4 5 4 4 5 5 5 5 5 4 4 4 3 3 4 4 5 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 3 3 3 2 2 2 3 3 4 4 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 6 6 4 4 4 3 5 6 4 3 3 3 3 1 -1 -4 -4 -2 1 2 3 3 3 4 3 3 4 5 4 4 5 5 5 6 6 5 5 4 5 6 8 8 5 5 7 8 11 13 14 13 9 6 4 5 7 5 1 3 6 7 6 4 3 3 4 5 5 5 4 3 3 3 3 3 3 3 2 2 1 1 0 0 1 2 4 5 5 4 4 5 6 7 7 9 8 4 3 5 5 5 6 6 6 6 7 8 8 9 9 8 7 6 7 7 6 6 5 5 5 6 6 6 6 6 6 7 8 7 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 2 2 2 3 3 4 4 4 4 3 3 3 3 4 5 5 6 7 7 6 5 4 3 3 3 4 4 4 4 5 5 4 4 3 2 2 2 3 3 4 5 6 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 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 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 9 15 18 18 16 15 14 13 12 11 10 8 6 5 4 3 3 3 3 4 6 8 8 8 9 9 8 6 5 5 5 4 2 1 2 4 6 6 4 3 8 8 3 1 3 10 24 15 -0 -5 -2 3 1 9 10 10 9 6 5 6 3 4 6 7 5 5 5 5 6 5 5 5 2 3 6 7 5 3 4 5 6 6 6 8 10 7 3 3 8 9 10 10 8 7 5 9 15 11 6 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 4 4 4 5 5 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 3 4 4 5 5 5 5 4 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 10 10 6 4 3 2 2 1 -1 -3 -4 -3 0 1 1 1 3 5 5 6 7 6 6 5 5 4 4 6 6 4 4 3 4 6 8 7 5 5 9 12 12 11 11 8 5 4 5 6 5 3 3 5 7 7 6 4 3 4 5 5 6 6 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 3 4 5 4 3 5 5 6 6 7 9 7 4 5 5 5 5 6 6 6 7 7 8 9 9 9 8 7 7 7 7 6 5 5 4 4 4 5 6 6 6 7 9 8 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 4 5 4 3 2 2 2 3 3 4 4 5 4 4 4 3 3 4 4 5 6 7 7 6 6 4 3 3 3 3 4 4 5 6 6 5 4 4 3 3 2 2 3 3 4 5 5 4 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 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 4 5 5 5 5 5 5 6 6 6 7 11 17 17 13 11 11 11 10 10 9 8 7 6 5 4 3 2 3 3 4 6 8 9 9 9 9 8 6 5 4 4 3 1 2 4 5 5 7 5 1 7 9 5 3 3 6 18 15 4 -1 0 5 4 7 6 7 12 6 6 7 4 3 5 6 3 1 4 5 6 4 3 2 2 4 7 10 8 4 6 7 7 5 3 8 9 7 5 5 6 8 10 10 7 6 5 9 13 11 6 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 5 5 5 6 5 5 6 6 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 4 5 4 5 4 4 3 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 10 12 10 7 5 4 1 0 0 0 -0 -1 -1 -0 -1 -2 -0 1 2 2 4 6 6 5 5 3 3 5 6 6 5 4 4 5 6 6 4 4 7 9 9 8 7 4 4 5 6 6 5 4 3 3 5 8 8 7 5 4 5 5 7 7 6 4 2 2 2 2 2 2 2 3 3 3 2 2 2 2 4 5 6 3 3 5 5 5 7 7 6 5 5 5 5 5 6 7 7 7 7 8 8 8 9 8 7 7 7 7 6 6 6 6 5 4 4 5 5 5 7 8 8 7 7 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 4 4 4 3 3 2 2 2 3 4 4 5 5 5 4 4 3 3 4 4 5 6 7 7 7 5 4 3 3 3 3 4 4 5 6 6 5 5 5 4 3 3 2 3 3 4 4 4 4 4 3 3 2 2 1 1 1 2 2 2 3 3 3 3 3 2 3 3 3 3 4 3 3 3 3 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 7 6 8 16 20 14 7 6 8 9 9 9 8 8 7 6 4 4 3 3 3 4 5 6 8 9 9 9 9 8 7 5 3 2 0 1 4 6 5 6 9 9 3 2 5 8 6 4 4 9 11 6 2 7 10 7 4 2 3 9 6 5 6 6 5 4 5 2 -1 3 6 7 5 3 3 5 7 11 12 8 4 5 7 7 5 4 7 8 8 8 6 6 7 8 9 7 5 4 9 15 12 6 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 5 6 6 5 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 5 5 4 4 3 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 8 10 11 13 14 12 9 6 4 3 2 2 2 1 1 1 -1 -0 -0 -0 1 3 5 6 6 5 3 2 3 5 7 7 7 5 5 6 6 5 4 5 6 6 6 5 4 5 6 6 6 6 5 4 3 4 6 9 10 8 5 4 6 7 7 6 3 2 1 1 0 1 1 2 2 3 3 4 3 2 2 3 4 7 4 2 4 5 6 7 7 6 5 5 5 5 6 6 7 7 8 8 7 7 8 8 9 8 8 7 6 6 6 7 8 7 5 4 4 4 4 6 7 7 7 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 4 4 3 3 2 2 2 3 4 4 5 5 5 4 4 4 4 4 4 5 5 6 7 6 5 4 3 2 2 2 3 3 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 4 3 3 2 1 1 1 1 1 2 2 2 3 3 2 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 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 5 4 4 5 5 5 5 5 5 5 5 4 4 5 4 5 4 4 4 5 5 4 4 5 7 8 7 11 25 26 7 -3 0 4 7 9 8 7 7 6 5 4 4 3 3 4 5 6 7 7 9 9 9 8 8 7 5 2 -1 -0 2 5 5 4 8 10 12 7 1 4 7 5 6 8 8 8 3 1 7 11 10 5 1 0 4 6 6 6 8 9 7 4 -1 -2 2 7 9 6 3 4 7 10 13 11 7 3 4 6 8 6 3 7 10 10 11 7 6 7 7 7 6 3 3 10 18 14 6 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 5 5 5 5 5 5 6 6 6 6 5 6 5 5 4 5 5 5 5 5 5 5 5 5 7 8 12 14 13 13 13 12 9 8 7 4 3 4 4 3 2 3 3 2 3 4 5 5 5 4 3 3 4 8 11 10 9 8 8 7 6 5 5 4 4 5 5 5 5 7 7 7 6 5 5 4 3 4 7 10 9 6 6 7 6 6 4 3 2 1 0 1 1 1 2 2 3 4 5 4 3 2 3 4 5 5 4 4 4 5 6 7 6 5 5 5 6 6 6 7 8 8 8 7 7 7 8 9 9 8 8 7 5 5 7 9 8 5 3 3 3 3 4 4 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 nan
nan nan nan 4 4 4 4 4 3 2 2 2 2 3 4 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 2 2 1 1 1 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 5 5 4 5 5 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 8 8 9 16 30 24 -1 -11 -7 -0 5 7 8 7 6 5 5 5 4 3 3 5 6 7 8 8 8 8 9 8 8 7 4 -1 -3 1 4 5 5 3 6 9 12 10 4 3 4 4 5 5 6 7 2 1 3 6 8 7 3 -2 0 6 8 6 8 12 14 7 -2 -3 2 6 8 4 1 3 6 10 11 9 6 4 6 7 8 6 3 6 12 15 15 7 5 6 6 5 6 5 5 10 18 17 8 4 4 4 5 4 4 4 5 5 5 4 4 3 4 4 4 4 3 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 7 8 9 11 13 14 14 14 13 12 9 8 6 4 4 5 4 4 5 7 7 6 7 8 6 7 7 9 13 13 11 9 7 6 4 4 4 4 4 4 4 5 6 6 7 6 6 6 5 4 4 4 5 7 8 7 7 7 6 6 4 3 2 2 2 3 3 3 3 3 4 5 6 4 3 2 2 3 4 4 5 5 5 5 5 6 6 6 5 5 6 7 8 9 9 9 8 7 7 7 8 9 9 8 8 7 6 5 6 7 8 7 4 2 2 3 4 4 4 4 4 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 6 6 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 6 6 6 6 5 4 4 4 5 5 5 6 5 5 4 4 3 4 4 3 3 3 3 4 4 4 5 5 5 5 5 4 3 2 2 3 3 3 3 2 2 2 1 1 1 1 2 2 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 5 5 5 6 7 8 10 12 19 25 14 -1 -5 -7 -6 2 6 7 7 6 4 4 3 3 4 5 6 7 8 8 9 8 8 8 8 7 5 2 -2 -2 2 5 5 6 5 3 5 7 8 7 6 4 5 6 4 3 5 6 7 4 1 5 10 7 0 2 7 8 5 5 11 17 16 9 1 1 3 3 5 2 3 5 7 7 6 4 5 8 8 5 3 5 6 10 18 18 10 5 3 2 4 7 9 6 9 18 18 9 4 3 4 5 4 4 4 4 5 4 4 4 3 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 5 6 6 7 9 11 12 13 13 11 10 11 10 8 8 6 6 8 9 10 10 10 10 10 11 11 10 10 11 10 7 5 5 4 4 4 4 4 5 6 6 5 5 6 6 6 6 5 4 4 4 5 5 6 6 6 6 7 6 5 4 4 4 5 6 6 5 4 5 5 5 6 6 4 2 2 2 3 4 5 5 5 4 5 6 6 7 6 6 7 9 10 11 11 11 10 8 8 7 8 8 8 8 7 7 6 6 6 7 10 9 5 2 2 3 4 4 4 4 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 7 7 7 6 6 5 5 5 5 4 4 5 4 4 4 4 5 6 6 6 6 6 4 4 4 4 5 5 5 6 6 5 4 4 4 5 5 4 3 3 3 3 3 3 4 4 5 5 5 5 4 3 2 2 2 2 2 2 2 2 1 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 5 4 4 5 5 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 10 12 15 19 20 6 -2 5 0 -6 1 5 6 7 6 4 3 3 3 3 5 6 7 8 9 9 8 8 8 7 6 3 0 -1 1 5 8 6 6 7 6 7 4 5 7 6 6 10 9 3 -0 1 6 9 6 1 4 10 9 5 5 7 6 4 3 7 14 18 19 11 3 -0 -0 4 4 8 6 1 2 3 3 7 10 9 4 1 3 4 8 18 18 12 4 -1 -2 1 8 13 9 9 18 16 9 5 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 3 4 5 5 6 6 6 7 9 11 11 10 10 8 7 7 8 8 7 6 7 7 9 8 7 7 8 7 6 6 5 5 4 4 5 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 7 7 7 6 5 5 6 5 5 6 5 3 3 2 3 4 5 5 5 5 5 6 7 7 7 7 8 10 11 12 12 12 11 10 9 9 8 7 7 7 7 7 7 8 8 9 12 9 5 3 3 4 4 4 4 4 4 5 4 4 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 nan
nan nan 7 7 7 6 5 5 5 6 6 6 6 5 5 4 4 4 5 6 6 7 7 6 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 4 3 3 3 3 3 3 4 4 6 7 7 6 5 3 2 1 1 2 2 2 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 7 7 9 12 15 19 23 18 -1 -4 9 4 -2 2 5 6 7 5 4 2 2 2 3 5 7 8 9 10 9 7 7 7 5 3 1 -0 2 4 8 12 6 4 10 10 9 2 5 5 2 7 12 8 1 -2 -3 2 6 5 4 6 8 8 8 8 5 4 5 3 5 10 14 14 12 10 4 -1 1 2 8 9 1 -0 1 6 7 7 11 8 4 6 7 11 18 16 11 4 -1 -4 -1 9 17 13 12 19 15 9 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 3 2 1 1 2 3 3 2 3 4 5 7 7 7 7 5 3 3 4 4 3 3 2 2 4 6 6 6 7 7 6 6 6 6 5 5 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 6 8 8 8 6 5 5 5 4 4 5 4 4 3 4 4 5 5 5 5 4 5 7 8 8 8 9 10 11 13 14 15 14 12 10 9 8 7 7 7 7 8 10 10 9 11 12 9 5 5 4 3 4 4 5 4 4 5 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 nan nan
nan nan 6 6 5 5 5 4 4 5 5 6 6 6 5 4 4 4 4 5 6 7 7 6 5 4 4 4 5 5 4 4 4 4 5 5 6 7 7 7 7 6 4 3 4 4 4 4 3 3 4 5 6 7 7 5 3 1 1 2 2 2 2 1 1 2 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 3 3 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 5 6 6 6 7 6 6 6 7 7 9 12 15 19 24 26 17 -3 -1 9 3 1 2 4 6 6 5 4 2 2 2 2 4 6 8 9 9 8 7 6 5 3 1 -1 1 3 5 7 8 5 5 8 3 2 1 2 3 3 7 9 8 4 4 6 8 6 4 5 7 8 8 9 8 6 6 8 5 3 6 9 5 4 10 10 2 0 2 4 10 9 4 3 7 5 5 11 11 9 12 16 16 18 18 13 5 -1 -5 1 11 18 12 12 20 16 8 4 3 3 4 4 3 4 4 4 4 5 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 5 5 4 3 4 4 5 5 5 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 2 1 0 1 3 3 3 2 2 4 6 7 6 5 4 2 2 2 3 4 4 3 3 2 3 4 5 5 5 6 6 6 6 6 6 5 5 4 5 6 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 4 7 9 9 7 6 5 4 3 3 3 5 5 5 4 5 5 6 6 5 4 4 6 8 8 9 9 10 11 14 16 17 16 14 11 8 6 6 7 7 7 9 11 11 11 11 9 7 6 5 4 2 3 4 4 4 4 4 4 4 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 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 7 7 7 6 5 5 5 6 5 3 3 3 4 5 5 6 6 7 8 7 6 5 5 5 5 5 4 4 3 3 4 6 7 7 6 4 3 3 3 3 2 2 2 3 3 3 2 1 1 2 2 3 3 3 4 4 4 5 5 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 5 6 6 7 7 6 7 6 6 8 11 15 19 22 24 24 17 4 2 7 2 -2 -2 2 5 6 5 4 3 2 1 1 2 6 8 9 9 8 6 4 3 1 -1 -0 2 4 6 6 2 1 6 7 0 -1 4 2 4 5 4 6 8 7 10 13 12 4 1 5 7 8 9 9 8 9 11 12 8 3 2 2 -2 -2 2 4 3 0 -0 3 12 16 11 7 4 0 4 6 7 14 20 21 18 22 26 17 6 -2 -5 2 13 17 11 11 20 17 7 4 3 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 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 4 4 4 3 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 1 1 2 3 4 4 3 3 3 5 7 8 8 7 4 3 2 3 4 4 4 4 3 4 5 5 4 4 5 5 6 7 7 6 6 6 5 5 5 6 6 6 5 5 5 4 3 4 5 5 5 5 5 4 5 6 6 6 6 5 5 5 5 6 7 7 6 6 5 4 3 3 4 5 5 5 5 6 6 6 5 4 4 6 8 8 8 9 10 12 16 19 19 17 15 11 8 6 6 7 7 8 9 11 11 11 10 8 7 7 6 4 2 2 3 3 3 3 3 4 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 6 5 5 5 6 5 5 5 5 5 4 4 5 5 6 6 7 8 8 6 5 6 6 6 5 2 2 3 4 4 4 5 6 7 7 7 6 6 5 5 6 6 6 5 4 3 4 5 7 7 6 4 4 4 4 3 3 4 4 4 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 7 8 7 6 6 7 7 10 16 22 23 19 16 17 11 6 4 7 1 -7 -9 -2 5 7 7 5 3 2 2 1 2 5 8 9 9 8 7 4 1 0 0 1 2 3 6 8 6 3 2 3 5 4 4 3 4 6 2 1 2 4 10 8 6 2 2 3 5 8 10 11 10 11 11 11 10 5 2 -1 -3 -4 -4 -4 -2 -2 -5 0 14 18 13 7 0 -4 3 3 3 11 16 15 18 31 35 19 6 -3 -4 4 13 14 9 11 21 18 7 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 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 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 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 3 2 3 3 4 4 4 4 4 3 4 5 7 9 9 8 6 4 3 4 4 5 4 4 6 7 5 3 4 5 6 7 7 7 6 6 6 5 5 5 5 5 6 5 4 5 5 3 3 4 5 5 5 5 5 4 5 6 6 6 6 6 5 4 4 4 5 5 6 6 5 4 3 4 5 5 5 5 6 7 6 5 3 4 6 8 9 8 9 10 14 19 22 20 18 15 12 7 5 6 7 8 8 10 11 12 10 9 8 8 8 7 4 2 1 2 3 4 3 2 3 4 4 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 8 8 7 5 5 6 7 6 4 3 2 3 3 4 4 5 6 6 6 6 6 5 5 6 8 8 8 7 4 3 4 6 7 7 5 5 5 4 4 4 5 5 4 3 3 2 2 3 3 3 4 4 3 3 3 3 4 3 3 3 3 3 3 2 2 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 6 6 6 6 6 7 8 7 6 6 7 10 16 25 29 22 9 4 11 7 4 3 5 -1 -10 -12 -4 5 8 8 7 5 3 2 2 3 6 7 9 9 8 6 4 1 1 2 3 3 2 4 6 8 10 9 7 7 5 2 2 5 9 6 3 -0 3 9 7 3 5 4 4 6 10 12 13 11 8 6 10 13 9 6 3 3 3 -1 -3 -2 -1 -4 -4 10 13 10 6 1 -4 0 0 -0 4 9 12 22 36 34 19 5 -2 -1 7 13 11 7 10 21 19 6 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 5 4 4 4 3 4 4 4 4 3 3 4 4 4 4 5 7 10 12 10 6 4 4 4 3 3 4 7 9 5 2 4 6 7 7 7 7 6 6 6 6 5 5 5 5 5 4 4 5 7 6 0 0 4 5 5 5 5 5 5 5 5 5 6 6 5 6 5 4 4 5 6 6 6 5 4 4 5 5 5 5 6 6 6 5 4 3 5 7 9 9 9 11 15 22 25 21 18 16 12 7 6 7 8 8 10 11 12 13 11 8 7 7 8 7 6 4 3 2 2 4 3 2 2 3 3 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 8 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 7 7 7 5 4 5 6 7 6 5 4 3 3 3 4 5 5 5 5 6 6 6 5 5 7 9 10 10 7 5 5 6 7 7 6 5 4 4 4 5 5 4 4 3 3 3 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 1 2 2 1 2 2 2 3 3 3 3 3 3 4 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 6 7 6 6 6 7 8 7 6 6 8 15 25 31 26 15 3 -3 3 5 -2 -2 1 -2 -9 -8 -1 6 10 11 9 6 4 3 3 4 5 8 9 9 8 5 2 1 3 4 5 6 5 5 6 4 4 8 11 10 5 0 1 6 11 13 12 7 5 6 5 2 2 3 8 11 12 13 11 5 -2 2 15 18 12 7 8 11 12 7 2 2 6 3 -2 4 6 4 4 1 -5 -1 -3 -5 0 7 10 25 38 31 15 4 -0 3 9 12 9 6 9 19 18 7 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 5 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 4 5 6 6 5 4 4 4 4 4 5 4 3 3 3 3 4 4 4 4 6 9 12 13 9 4 4 3 2 1 3 7 10 5 3 4 5 7 7 7 7 6 6 5 5 5 4 4 5 4 3 3 6 8 7 1 0 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 5 5 5 6 6 8 8 5 3 4 5 5 5 5 6 7 6 4 4 4 7 9 9 9 11 17 23 25 23 20 16 11 7 7 7 8 8 10 11 12 13 13 10 8 8 8 8 8 6 5 5 5 4 3 4 5 5 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 6 6 6 7 6 6 7 7 5 3 4 5 7 7 7 5 4 3 3 4 5 5 5 5 5 6 6 5 5 6 8 10 11 11 9 8 7 7 8 8 6 5 4 4 4 4 3 3 2 3 4 4 4 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 6 6 7 9 9 7 8 12 19 27 26 15 9 6 1 -4 -4 -8 -3 1 1 -1 1 4 9 12 13 12 8 5 4 4 5 6 8 10 9 7 4 2 2 3 4 6 10 10 8 8 9 6 2 1 4 3 2 5 8 13 20 19 12 8 5 2 -1 -1 5 10 11 10 12 9 -2 -10 2 21 24 13 5 7 12 15 9 2 5 9 8 4 4 6 6 4 -2 -8 -0 2 -1 1 3 9 27 37 27 13 4 1 5 9 11 8 7 10 17 15 7 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 5 6 6 6 5 4 4 4 4 4 4 3 2 3 3 4 4 4 5 5 8 11 12 9 5 2 1 -0 -1 1 7 10 7 4 5 5 6 7 7 7 7 6 5 5 5 5 4 4 4 3 3 7 10 6 3 2 3 4 4 5 5 5 6 5 5 6 6 6 7 7 8 6 4 6 6 7 8 10 7 4 4 5 5 5 5 5 6 6 5 4 4 5 8 9 9 10 14 19 22 22 20 16 9 7 7 7 7 8 8 9 11 12 12 11 10 9 9 10 10 9 9 10 9 7 6 5 7 8 6 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 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 4 6 7 7 7 6 7 8 5 3 2 3 6 8 7 6 5 4 4 5 5 5 5 5 5 6 7 6 6 5 6 8 10 13 13 13 11 10 10 9 7 6 4 4 3 3 2 2 2 3 4 4 3 3 2 2 1 0 -0 -0 0 0 -0 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 6 6 6 7 9 10 11 10 11 15 18 20 15 7 7 9 4 -7 -9 -1 5 8 8 9 10 9 9 12 15 14 11 6 4 4 5 6 8 9 8 5 2 4 5 4 5 6 10 13 10 8 7 4 4 2 2 2 5 7 8 15 22 19 13 10 7 4 -1 -0 6 10 8 5 8 7 -2 -9 3 21 24 14 4 1 5 12 6 -2 2 9 11 8 7 12 12 11 2 -6 1 9 6 6 6 18 30 30 21 11 4 1 4 9 10 7 7 11 17 13 6 5 5 3 3 4 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 5 4 5 4 4 3 3 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 3 3 4 4 5 5 6 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 4 4 4 3 3 4 5 5 5 5 5 5 5 4 4 3 3 4 5 6 5 5 4 4 5 5 4 3 2 2 2 3 5 5 5 5 6 7 9 10 7 4 1 -1 -2 -2 0 6 9 7 5 6 7 7 7 7 8 8 7 6 6 5 5 5 5 4 4 5 7 9 8 4 3 3 3 3 3 4 5 5 5 5 5 6 6 6 7 10 8 5 6 7 7 7 8 8 6 6 6 5 5 4 5 6 6 6 5 4 4 6 8 9 8 9 12 15 17 16 13 8 6 6 6 7 6 5 5 7 9 9 9 9 9 9 11 13 14 13 12 11 9 8 8 8 8 8 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 3 2 2 2 1 1 2 2 2 2 3 2 2 2 2 2 2 4 6 7 7 7 7 8 7 3 2 2 4 7 8 6 6 5 5 5 6 5 5 6 6 6 7 7 6 5 4 5 6 8 11 13 13 13 13 12 10 7 5 4 3 2 2 2 3 3 4 3 3 2 2 1 -1 -2 -1 -0 0 0 1 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 6 10 12 11 13 14 12 13 13 11 5 2 5 8 4 -2 1 8 11 13 14 16 15 12 9 12 17 17 12 7 5 5 5 7 8 8 7 4 3 4 4 4 6 6 7 10 9 8 4 -1 1 3 3 6 10 6 6 14 16 12 10 9 8 5 1 1 6 11 9 2 4 8 4 -3 2 17 23 16 3 -6 -2 9 9 -2 -5 2 8 9 9 12 13 14 9 4 1 10 13 16 16 22 26 22 14 7 2 -1 3 7 8 7 7 12 17 13 6 5 5 4 4 5 5 5 5 4 4 5 4 5 5 4 4 4 4 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 3 4 4 5 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 3 2 2 3 4 5 5 5 5 5 6 7 7 5 3 0 -1 -1 -2 0 5 7 6 5 6 7 8 8 8 8 8 9 8 7 6 6 5 5 5 6 8 8 8 8 6 5 4 3 3 3 3 4 4 5 5 5 5 5 5 6 8 8 7 7 8 8 7 7 7 7 6 6 6 5 4 5 5 6 6 6 4 3 5 7 8 7 7 7 8 9 10 9 7 5 5 5 5 4 3 3 4 5 6 6 6 7 8 10 12 13 12 11 9 9 9 9 8 8 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 3 2 1 1 2 2 2 2 2 1 2 2 2 2 2 1 1 2 4 6 7 6 6 8 8 6 2 1 3 6 8 7 7 5 6 6 5 5 5 6 6 7 7 7 7 6 4 3 4 4 6 8 10 12 14 15 14 10 7 5 4 3 3 3 3 4 4 3 2 2 1 -1 -1 -2 -1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 6 7 7 12 15 13 14 13 9 10 13 11 4 2 4 4 4 7 10 12 12 13 15 17 17 14 11 13 19 19 14 8 6 6 6 6 6 6 6 5 4 2 3 6 7 6 5 7 7 7 9 10 8 2 1 6 7 1 5 11 9 4 3 3 5 6 3 1 5 11 10 2 2 10 10 5 5 15 19 13 2 -4 -3 5 8 4 0 2 4 9 12 7 4 7 12 11 1 4 17 24 22 20 16 9 4 3 0 -1 3 7 7 8 8 13 17 11 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 3 4 5 6 6 7 7 6 6 5 5 5 4 4 3 4 4 4 4 3 3 3 3 3 2 2 3 3 4 4 4 4 5 5 6 5 5 6 5 5 6 6 5 5 5 4 4 4 5 5 5 5 5 4 3 3 2 3 5 5 5 5 5 5 6 6 5 4 3 2 1 1 0 1 5 6 5 2 2 5 7 6 6 7 8 9 9 7 6 5 5 7 8 7 7 7 6 5 7 8 7 5 4 3 4 4 4 5 5 5 4 4 4 4 5 6 6 7 7 7 7 7 7 7 6 7 6 5 5 4 4 5 6 6 5 4 3 4 6 6 6 5 4 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 6 8 9 8 7 8 10 10 11 9 7 7 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 3 4 5 5 5 5 4 3 3 3 2 2 1 1 0 1 2 4 5 6 6 7 9 7 4 3 4 7 9 9 7 7 7 6 5 4 4 5 6 7 7 7 7 6 4 4 4 3 2 3 5 7 10 14 15 14 12 9 7 6 4 4 4 5 4 3 2 1 -1 -1 -0 0 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 8 13 18 16 12 9 7 9 15 15 12 9 4 0 4 8 10 10 10 11 12 15 17 17 16 18 22 22 16 9 7 6 6 6 6 6 6 6 4 2 4 8 9 6 6 7 5 3 5 12 16 8 4 6 1 -3 4 9 4 1 -2 -3 4 12 9 1 2 10 10 5 4 10 14 15 16 17 13 4 -1 3 6 5 2 4 13 11 7 10 11 4 0 4 9 11 0 -5 10 26 24 14 4 -4 -3 1 -1 2 8 10 8 8 9 12 17 12 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 5 6 7 7 7 6 6 5 5 5 4 4 4 4 3 3 3 2 1 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 4 3 3 4 5 5 4 4 5 5 5 6 6 5 4 3 3 2 2 3 5 6 4 3 1 1 3 3 4 4 5 6 7 6 5 3 3 7 11 11 7 4 2 1 5 9 9 8 6 5 5 6 5 5 5 4 4 3 3 3 4 5 5 5 6 7 8 7 7 6 7 7 6 6 5 4 4 5 5 5 5 4 3 3 3 4 6 6 4 2 -0 1 2 1 0 0 0 1 2 3 3 4 4 4 4 4 4 5 6 5 4 6 9 10 10 9 7 7 8 9 10 10 10 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 4 5 7 8 9 8 7 7 7 6 5 3 1 1 1 1 1 3 3 4 4 5 7 7 6 6 7 9 9 8 7 7 7 7 6 4 3 4 4 5 6 7 7 6 5 5 4 3 2 2 3 3 4 8 12 14 15 14 10 7 5 5 5 5 4 2 1 -1 -1 -0 1 2 3 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 8 9 12 17 18 15 10 7 7 10 14 15 17 11 0 -3 2 4 5 6 8 8 10 13 16 19 21 23 24 22 17 10 7 5 4 6 6 7 7 6 4 2 4 8 12 10 10 10 6 6 2 6 11 8 7 14 1 -2 6 5 3 5 1 -4 4 17 14 2 -0 5 10 12 11 11 13 15 17 15 5 -5 -4 8 11 4 -1 5 15 14 12 13 9 4 6 7 8 10 5 -3 9 29 23 8 -5 -10 -1 4 3 7 12 11 10 9 7 10 17 15 6 4 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 6 6 6 5 5 5 5 4 4 4 4 3 3 3 2 1 1 2 2 2 3 3 3 4 5 5 5 4 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 6 6 5 4 4 3 2 3 4 5 5 5 3 1 1 2 2 2 3 4 4 4 3 2 2 6 12 14 9 2 -2 -3 2 8 10 10 9 8 8 8 7 6 6 5 4 3 3 3 4 4 4 4 5 6 7 7 7 6 6 7 8 8 6 5 4 4 5 6 6 6 4 2 2 2 5 6 7 6 4 2 1 1 -1 -1 -1 -1 1 2 4 4 4 3 3 3 2 2 2 1 1 3 7 7 8 9 8 7 8 9 10 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 6 7 9 9 10 9 9 10 11 10 7 3 1 0 1 1 2 2 3 3 3 4 6 9 10 11 9 8 7 6 6 7 8 7 5 3 3 3 4 5 6 7 6 5 5 5 5 4 5 4 3 2 3 7 10 14 16 15 12 8 6 5 5 3 0 -1 -1 -1 1 2 2 3 3 4 4 5 4 4 3 3 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 4 3 4 4 4 4 5 5 4 4 4 4 4 3 4 5 5 6 6 6 6 10 15 17 16 13 11 9 8 7 9 10 9 11 3 -6 -3 1 3 4 5 6 7 8 10 15 20 24 24 21 19 15 10 7 4 4 6 7 7 6 5 4 3 3 5 9 10 11 9 7 6 2 2 5 8 10 14 2 3 7 3 5 11 8 1 9 16 11 2 1 3 9 15 12 9 11 9 7 7 -2 -8 3 16 10 -1 -0 6 9 8 11 11 6 6 9 6 6 12 18 11 18 31 21 2 -12 -8 9 12 11 14 14 11 10 9 7 9 16 15 7 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 6 6 5 5 6 6 5 5 4 4 4 4 5 5 4 4 4 5 5 5 5 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 5 6 6 6 6 5 5 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 5 4 5 5 5 4 5 6 6 7 7 6 6 6 7 7 6 5 5 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 7 6 5 5 3 3 2 2 4 6 8 7 4 3 3 3 3 3 3 3 3 3 3 3 3 5 10 15 10 1 -2 -2 1 5 8 10 11 11 11 10 9 7 7 5 4 5 5 4 4 4 4 4 4 5 6 6 6 5 5 6 7 8 7 6 4 4 5 6 6 6 5 3 3 2 3 5 8 10 10 9 6 3 2 0 -1 -0 0 2 3 3 3 2 2 2 1 0 0 -0 0 1 4 5 6 8 8 7 6 6 7 8 9 9 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 5 5 6 6 8 8 8 9 11 13 14 12 9 4 2 1 1 1 2 2 2 2 2 4 8 10 10 7 5 4 4 4 6 8 8 7 5 4 4 4 4 5 6 5 5 4 5 6 6 6 6 6 4 3 4 7 10 14 18 17 12 8 6 4 2 -0 -2 -1 1 2 2 2 2 3 4 5 6 5 5 4 3 3 3 3 3 3 3 4 4 3 3 2 2 2 3 4 3 3 3 4 4 4 5 4 5 5 5 5 4 4 4 5 5 6 6 6 6 10 17 18 13 10 10 9 7 7 7 6 5 3 -2 -6 -1 2 4 4 5 5 7 8 9 14 20 23 19 15 13 13 10 6 3 3 5 6 6 4 3 3 4 5 6 6 6 5 4 5 3 1 1 -0 2 15 11 2 6 4 3 8 17 11 5 10 10 5 7 7 6 9 12 10 8 12 11 6 1 -5 -2 15 23 13 1 -2 -3 -4 1 8 6 3 7 11 8 1 9 23 17 23 29 17 -3 -15 -0 22 23 19 18 15 12 10 8 7 9 14 15 8 4 5 5 5 6 5 5 5 5 5 5 4 4 5 5 4 5 5 5 6 6 5 5 6 6 5 5 5 5 4 4 5 5 5 4 4 5 5 5 5 4 4 5 5 5 4 3 3 4 4 5 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 7 6 6 5 4 3 3 3 4 7 11 8 5 5 4 4 3 4 3 3 4 4 4 5 5 5 8 14 10 -1 -1 3 2 2 5 7 10 11 14 14 12 9 7 6 5 5 6 6 4 3 4 4 3 4 4 5 5 5 5 5 6 6 7 7 6 5 5 5 6 6 5 5 4 3 2 3 5 8 10 12 12 11 9 7 4 3 3 4 4 4 3 2 2 2 1 0 -0 0 0 0 2 4 6 7 6 5 5 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 4 5 5 5 6 6 6 7 8 11 13 15 14 10 6 3 1 2 2 2 3 2 1 3 5 6 5 4 2 2 2 2 4 7 8 8 6 5 5 5 5 5 5 5 4 4 5 6 6 7 8 8 6 5 5 5 7 11 15 17 14 11 8 5 4 3 1 1 2 3 3 2 1 2 3 5 6 7 6 5 4 3 4 4 3 3 4 4 5 5 4 3 2 2 3 3 3 4 4 4 4 5 5 5 4 5 5 5 5 4 4 4 5 6 7 7 6 6 15 19 13 11 12 9 7 6 6 4 4 2 -0 -2 0 2 4 5 5 6 7 8 9 13 18 19 14 9 9 10 8 5 3 3 4 5 4 3 2 1 3 9 11 9 7 4 3 3 3 2 2 -3 0 13 5 0 7 5 3 12 22 12 4 4 3 7 14 11 6 5 6 6 7 7 9 10 5 3 10 20 20 11 -1 -10 -10 -4 2 3 -1 -0 8 12 9 2 6 11 10 24 28 14 -5 -11 10 29 28 21 17 13 10 9 8 7 8 12 16 10 5 5 5 5 6 6 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 4 4 3 4 4 4 4 4 3 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 5 6 6 6 6 5 5 5 6 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 5 6 7 7 7 6 6 6 6 5 4 4 5 8 12 10 7 5 4 4 4 3 3 3 3 4 5 5 5 5 8 13 10 2 2 4 3 3 3 4 6 9 12 16 16 12 9 6 5 5 5 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 7 7 5 5 5 5 6 6 5 5 4 3 2 2 4 6 9 11 14 15 15 13 10 7 6 6 5 6 5 4 3 2 2 1 1 1 1 1 2 4 5 5 5 4 4 3 2 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 5 6 5 6 6 7 6 6 7 10 13 15 14 11 8 4 3 2 2 3 3 2 3 4 4 4 3 2 1 0 0 1 4 6 7 7 6 5 5 5 5 5 5 5 5 6 7 8 8 8 7 7 6 5 5 5 7 10 12 13 11 9 8 8 8 7 5 5 5 4 3 3 3 3 3 4 5 6 6 5 5 5 5 4 4 5 6 5 5 5 4 3 2 2 2 3 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 5 6 7 7 5 4 10 18 18 15 12 9 6 6 5 4 5 5 3 1 1 3 5 5 6 6 8 9 10 11 14 15 11 7 6 6 5 5 4 3 2 4 4 5 6 3 2 6 6 7 8 7 7 4 3 5 8 8 10 6 -3 -3 1 4 2 11 16 5 3 3 4 12 14 8 6 3 1 4 5 3 7 15 13 11 13 13 8 3 0 -4 -3 4 5 -4 -9 -2 9 10 4 3 4 -3 5 27 31 13 -4 -3 14 25 23 17 13 9 8 8 8 7 7 13 17 11 5 6 5 5 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 5 6 6 7 6 5 5 7 9 7 4 5 6 8 10 8 6 5 4 4 4 4 4 3 4 4 4 4 4 5 7 10 9 6 6 6 5 4 3 3 4 6 10 14 17 15 11 6 5 4 4 3 2 3 4 5 5 4 3 3 3 4 5 5 4 4 5 6 6 5 5 5 6 6 6 6 5 5 3 2 1 1 3 5 7 10 14 16 15 13 11 9 8 7 8 9 9 8 6 5 4 3 1 1 0 1 1 3 6 6 5 5 3 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 6 7 6 6 6 6 7 7 6 6 7 9 11 14 14 13 10 7 5 5 5 5 5 4 4 4 5 4 3 1 -1 -1 -1 1 3 4 5 6 5 5 5 4 5 5 5 5 7 9 9 8 6 5 6 6 6 5 5 5 6 8 9 9 9 10 10 10 10 9 9 7 6 5 5 4 4 2 1 3 4 6 6 6 6 5 5 5 5 6 5 5 5 6 5 3 3 2 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 7 7 6 4 4 6 19 25 17 12 8 5 5 3 2 4 4 2 1 2 4 5 5 6 7 8 10 11 10 11 12 9 6 5 4 4 5 5 3 2 4 3 6 9 6 7 2 1 4 7 7 6 3 2 5 7 8 9 11 9 2 -2 -1 -0 4 2 -1 4 7 8 10 9 9 8 4 1 3 6 8 14 19 12 7 6 5 0 -0 -3 -1 11 23 16 -4 -8 1 5 1 -1 3 3 -4 8 31 32 12 -3 3 15 19 17 14 10 7 6 7 7 5 8 14 14 8 5 6 5 6 6 6 5 6 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 3 3 4 3 3 2 3 4 3 3 3 2 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 6 6 5 5 5 5 6 7 7 6 5 4 4 6 9 9 5 5 6 8 8 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 6 8 7 7 8 5 3 3 4 5 6 7 9 13 15 12 8 5 4 4 3 1 2 4 6 6 4 4 3 3 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 4 2 1 2 3 4 6 9 11 11 11 11 9 9 8 8 10 12 13 13 11 9 7 4 2 1 1 1 3 5 6 6 5 4 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 8 4 6 10 9 6 4 4 5 6 7 8 7 6 6 7 9 11 14 14 13 13 13 13 12 9 8 6 5 6 6 4 2 0 -1 -1 -0 1 2 3 4 5 5 4 4 3 4 4 5 6 8 8 7 5 3 3 4 4 4 3 3 4 5 6 7 7 7 8 9 9 10 10 9 8 7 7 7 6 4 2 2 4 4 5 5 6 6 5 6 6 6 4 3 4 6 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 5 3 3 8 24 28 17 11 7 5 3 1 -0 0 1 0 1 3 4 5 5 6 8 8 10 11 11 10 10 8 6 4 5 5 6 6 4 4 4 3 4 4 4 5 1 0 5 7 5 1 2 4 4 2 3 7 14 17 11 5 1 -1 0 -3 1 8 10 7 9 13 14 8 4 3 4 5 8 12 10 1 -4 1 4 0 0 -5 -2 16 30 19 -1 -3 3 -3 -7 0 5 2 1 15 32 29 9 -1 8 17 17 14 11 8 6 7 7 6 4 8 11 9 5 8 9 7 6 6 6 6 5 5 5 4 4 5 5 5 4 5 5 5 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 5 4 4 3 3 3 3 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 6 6 7 8 8 7 5 4 4 4 5 8 9 7 6 8 8 6 4 4 5 5 5 6 6 7 7 6 6 5 4 4 4 4 5 6 6 7 7 6 4 3 3 5 5 5 5 8 12 12 10 8 6 5 4 2 3 6 8 7 5 4 4 4 5 4 4 5 5 4 5 4 5 4 4 4 5 6 6 6 6 6 5 4 3 3 3 3 4 5 7 7 8 9 8 8 7 7 8 11 15 17 17 14 10 6 4 3 2 1 2 4 6 6 5 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 12 8 11 15 11 5 2 2 2 4 7 9 8 7 7 5 5 6 9 12 16 20 23 22 19 15 12 10 8 7 7 5 3 1 -0 -1 -0 1 1 3 3 4 4 4 4 3 3 3 3 5 5 6 5 4 3 2 2 3 3 2 2 3 4 5 6 5 4 4 5 6 7 8 9 9 9 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 3 3 4 6 7 7 5 3 3 4 12 26 26 15 9 7 4 3 2 1 -0 -0 1 3 4 4 4 5 6 7 9 10 11 12 11 9 9 8 6 6 7 6 6 4 4 5 5 3 3 5 1 2 5 6 6 3 0 5 9 6 8 9 4 4 8 9 9 5 1 1 1 5 9 8 3 7 18 17 9 4 4 3 2 4 6 3 -4 -5 3 8 6 7 5 4 11 14 7 0 0 1 -2 -2 4 4 -1 6 20 28 21 7 4 12 17 15 12 9 7 7 7 6 4 4 7 9 8 7 8 12 11 6 7 6 6 6 6 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 3 3 3 3 3 4 4 3 3 2 3 4 4 4 4 3 4 6 7 7 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 9 8 8 9 10 8 6 4 3 2 3 7 9 8 8 7 8 8 4 -0 2 6 6 6 6 7 7 8 8 7 7 6 5 4 5 5 5 6 7 7 6 4 3 3 5 6 4 3 4 8 11 11 9 8 8 8 7 8 10 10 9 7 5 5 6 5 4 4 4 5 5 5 4 3 3 3 4 6 6 6 6 6 6 6 5 4 4 3 3 4 4 5 5 6 7 7 7 6 5 6 9 12 16 18 17 14 10 8 6 3 2 2 4 6 5 4 4 5 7 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 13 12 16 18 12 5 1 0 0 2 6 8 8 8 8 7 5 4 4 7 13 19 21 18 14 11 10 11 10 9 8 7 5 3 2 2 1 2 2 3 3 4 5 6 5 4 3 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 4 5 6 5 4 3 3 3 4 5 7 8 9 9 9 9 7 6 5 4 4 4 5 4 3 3 3 2 2 3 3 3 3 2 2 2 3 3 4 4 4 4 3 3 3 3 4 4 4 3 4 6 8 9 6 4 3 4 6 16 27 23 12 7 6 4 5 7 8 3 1 2 3 4 4 4 5 6 8 8 9 13 15 14 10 10 10 8 7 8 7 6 4 4 4 5 6 7 9 6 8 8 5 5 4 2 7 8 12 21 14 2 4 6 5 6 5 3 4 5 7 10 3 -3 -0 8 10 10 5 0 0 3 6 7 6 3 5 11 12 11 10 5 1 7 9 6 6 5 -1 0 5 7 7 6 12 20 20 13 6 8 14 15 12 10 8 7 8 8 5 2 4 6 7 8 9 10 14 12 7 6 7 6 6 6 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 3 3 3 3 4 4 4 3 4 5 5 4 4 3 4 4 6 7 7 7 5 4 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 7 6 7 7 7 8 9 10 11 11 10 10 11 11 11 8 5 3 2 1 3 7 9 8 8 7 6 7 5 -0 -3 2 5 6 6 6 7 8 8 8 8 7 6 5 5 6 6 6 7 8 7 5 3 3 5 6 5 3 3 5 8 10 10 9 9 10 11 13 14 12 9 7 6 6 5 4 4 4 5 5 5 4 5 4 3 4 5 5 5 6 6 6 6 6 6 6 5 4 3 3 4 4 4 4 5 5 6 5 4 4 5 9 12 15 17 16 14 12 9 5 3 4 5 6 6 4 3 4 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 10 15 17 13 8 4 1 0 2 4 6 6 7 8 8 6 5 3 4 7 11 10 7 3 2 4 8 11 11 10 8 6 6 5 4 3 3 3 4 4 4 6 8 8 5 3 2 2 2 1 1 1 2 2 2 3 3 2 3 2 3 4 5 6 6 6 5 4 4 3 3 4 6 8 8 9 9 8 5 3 3 4 5 5 4 4 3 3 2 2 2 3 3 3 2 1 1 2 3 4 4 4 3 4 3 3 3 4 4 4 4 5 7 9 8 5 3 3 6 10 20 28 20 10 6 5 7 7 9 5 -0 0 2 3 4 5 5 6 7 8 9 10 15 17 14 10 10 10 9 9 9 8 5 4 4 2 2 5 8 11 7 6 5 4 4 3 3 5 5 16 25 11 4 10 9 4 3 3 6 9 5 5 5 -2 -2 2 3 5 7 2 -2 1 9 14 14 8 4 8 13 13 9 6 3 0 2 7 8 9 8 1 2 6 10 12 13 13 15 12 7 6 11 15 13 11 9 8 7 8 7 3 1 4 6 5 7 10 12 15 13 7 6 7 7 6 6 6 6 6 5 5 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 5 5 5 5 5 4 3 2 3 4 4 4 4 3 4 7 11 11 8 4 4 4 5 6 6 5 4 4 4 5 6 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 6 6 6 7 7 7 6 7 7 6 6 6 7 8 9 11 12 12 12 12 12 13 13 11 7 5 2 0 -0 2 6 8 7 7 6 6 6 5 2 -1 1 4 5 5 6 6 7 7 8 8 7 7 6 6 5 6 6 7 8 8 7 6 4 3 5 5 4 4 4 5 7 8 10 10 11 11 12 12 11 9 8 8 7 6 4 4 4 4 5 4 4 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 4 4 4 4 4 3 4 4 5 5 3 3 4 6 8 10 12 15 17 16 14 10 7 6 6 6 7 5 4 4 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 6 9 12 13 13 10 5 2 2 2 2 3 4 6 8 8 7 5 4 4 5 5 3 0 -1 1 5 10 11 9 8 7 7 6 6 6 4 4 4 5 5 6 9 10 8 4 3 3 2 3 2 2 2 3 3 4 3 2 2 2 2 3 5 5 6 6 7 7 6 5 4 4 5 6 7 9 9 8 5 3 3 4 5 5 5 6 5 5 4 3 3 3 3 3 2 1 1 2 3 4 3 3 3 3 3 3 3 3 4 4 4 6 8 9 6 3 3 6 10 16 26 28 18 9 6 6 6 4 3 -2 -3 1 2 3 4 5 5 6 8 9 10 13 17 17 12 9 8 8 7 9 9 9 6 6 7 2 -1 3 6 11 8 3 2 5 5 2 3 3 7 15 16 6 5 8 6 4 3 4 7 8 3 -1 -2 -5 -0 8 8 6 3 2 4 9 16 22 20 10 2 3 9 10 6 4 5 6 2 4 7 8 5 3 4 6 9 12 12 8 5 7 7 7 12 15 13 11 10 8 7 8 6 2 2 6 6 5 6 8 11 16 15 8 6 7 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 5 4 3 2 2 3 4 5 5 4 3 5 9 14 16 13 9 7 6 5 5 4 3 3 4 5 5 6 6 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 6 7 7 7 7 7 7 7 7 6 7 8 9 12 12 13 13 13 14 14 15 14 10 7 5 3 0 1 3 6 7 7 6 5 5 5 5 3 0 1 4 5 5 6 6 6 7 7 7 7 8 7 6 5 5 6 7 7 7 7 9 6 3 4 5 5 4 5 5 5 6 7 9 10 9 8 8 8 8 9 9 11 11 9 6 4 4 4 4 4 5 4 5 5 4 5 5 5 5 5 5 5 5 6 7 7 5 4 4 4 4 4 3 4 3 4 4 4 4 5 6 7 8 11 16 18 18 14 11 8 6 8 8 6 4 5 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 6 8 11 14 14 10 6 3 1 0 0 0 2 7 9 8 7 6 5 4 5 4 2 1 3 5 7 8 8 7 6 7 8 8 8 6 5 5 6 6 7 9 10 8 5 4 4 5 5 5 5 5 5 5 5 4 2 1 2 2 2 3 4 4 5 5 6 6 6 5 5 4 5 6 8 9 9 7 5 4 5 6 6 7 7 6 6 6 5 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 5 5 7 9 8 4 2 5 11 18 27 34 28 15 8 5 2 -1 -4 -3 -3 -1 1 2 3 4 5 6 7 8 10 12 14 17 16 13 10 8 6 5 6 8 8 6 8 9 4 3 5 6 12 14 6 1 2 4 2 2 3 8 8 2 1 6 5 4 5 4 3 4 3 -0 -3 -3 -2 4 11 10 7 4 5 11 15 19 20 17 11 2 -0 5 8 6 4 8 9 6 5 9 7 4 5 8 7 9 11 8 2 2 10 11 9 14 16 14 12 11 8 7 8 5 3 5 6 6 5 5 6 11 18 16 8 5 6 7 8 8 7 6 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 4 5 6 5 4 4 4 3 2 3 4 5 6 5 4 3 4 7 11 15 15 13 10 8 6 4 2 1 2 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 7 7 7 9 11 12 13 12 12 13 14 16 16 14 10 8 8 6 4 4 5 6 7 6 5 4 5 5 5 4 -2 -2 4 5 5 6 6 7 7 7 7 7 7 7 6 5 4 5 5 6 7 7 8 7 4 4 5 5 5 5 5 6 5 6 7 8 7 6 6 5 5 8 10 13 15 14 9 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 4 3 2 3 3 4 5 5 6 7 7 10 13 17 19 18 13 10 8 9 8 7 6 5 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 5 7 11 13 12 9 5 2 -0 -1 -1 1 6 10 9 7 7 6 5 4 4 3 3 3 4 4 5 5 5 4 5 7 9 9 8 6 6 7 8 8 8 8 8 7 7 6 7 8 8 7 7 7 7 6 6 4 2 1 2 3 2 2 1 1 2 3 4 5 6 5 4 4 5 5 6 7 7 6 6 7 9 10 9 7 6 7 8 8 7 6 5 5 4 3 2 2 4 4 3 3 3 3 3 2 3 4 5 5 7 9 9 7 3 4 11 22 30 37 36 23 10 5 1 -4 -6 -9 -7 -3 0 1 2 4 5 5 6 7 9 12 13 14 16 18 17 13 8 5 5 4 5 7 7 8 8 8 10 4 6 12 13 10 5 1 1 0 3 8 7 1 -2 6 11 4 3 2 2 2 0 -0 0 2 4 6 11 14 10 7 8 10 12 14 15 12 15 15 5 -2 0 5 7 7 9 9 8 7 10 10 6 8 9 8 8 9 6 1 7 17 15 11 15 15 13 12 12 9 8 7 5 4 6 6 6 5 5 8 15 18 13 5 4 6 8 9 8 7 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 6 5 4 4 3 2 3 4 5 5 5 5 4 3 3 3 5 8 11 12 11 9 6 4 3 2 2 3 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 6 7 9 11 12 12 12 12 12 13 14 15 15 12 10 10 10 9 7 6 6 5 4 4 4 4 4 5 5 4 1 -0 3 4 5 6 6 7 8 8 7 7 7 7 7 6 5 4 5 5 6 7 7 7 5 6 6 5 6 6 6 6 6 6 7 7 7 6 5 4 4 5 8 11 16 16 13 8 7 8 7 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 3 2 3 4 4 6 7 8 8 8 10 13 17 17 14 12 11 9 8 7 7 7 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 4 4 6 9 9 9 7 4 1 1 1 4 9 13 12 10 9 7 6 5 4 4 3 2 2 3 4 4 4 4 5 6 8 9 7 6 7 9 9 7 6 7 8 9 9 9 9 9 8 8 8 9 9 8 8 6 5 3 3 3 3 1 -0 -1 -1 -0 1 3 4 4 4 4 3 4 3 3 4 5 7 9 11 12 11 9 8 8 10 10 8 7 7 6 5 4 4 3 4 4 4 3 3 2 3 3 3 4 5 6 7 9 8 4 3 10 22 32 34 29 22 15 9 6 -0 -3 -7 -10 -7 -3 -0 1 3 5 5 5 6 7 10 12 12 13 16 20 19 14 7 6 7 7 7 10 9 8 5 9 12 3 6 7 10 8 7 4 1 -0 6 12 8 1 6 12 11 5 3 -1 -2 -1 1 2 4 7 12 14 16 13 8 6 10 12 12 13 11 5 16 21 11 1 -1 1 5 7 3 4 9 6 7 12 10 9 7 6 8 11 6 6 15 21 16 12 14 15 13 13 12 11 9 7 5 5 6 6 6 5 5 11 18 17 8 3 4 6 8 9 8 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 4 5 5 6 5 5 4 3 3 2 3 4 5 5 5 5 4 3 2 1 1 2 6 8 9 8 8 6 5 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 8 7 7 6 6 8 11 13 13 12 11 12 12 13 13 13 13 11 9 10 11 10 8 6 5 4 3 3 4 5 6 6 6 5 1 0 3 4 5 6 6 7 8 7 7 6 6 7 7 6 6 5 5 6 6 7 8 8 4 4 7 6 6 6 6 6 6 6 7 7 7 5 4 3 2 2 4 8 12 16 16 12 10 9 8 7 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 5 4 4 4 4 6 8 8 7 7 8 10 13 14 14 13 11 9 9 8 8 9 10 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 4 5 6 7 6 5 3 3 3 6 11 13 14 14 13 10 7 6 6 4 4 3 3 3 4 4 4 4 5 6 6 7 6 6 7 9 8 5 4 5 7 8 8 8 8 7 7 7 7 8 9 9 9 9 8 6 4 4 4 2 1 -0 -1 -1 0 1 2 3 4 4 3 3 2 1 2 4 6 8 9 10 10 9 9 10 12 12 10 8 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 5 6 7 9 9 7 4 7 17 27 31 26 14 6 6 10 10 4 -2 -9 -9 -5 -2 0 2 4 5 6 6 5 7 9 10 10 12 17 21 19 11 6 7 10 9 9 11 10 6 5 8 10 9 7 4 6 7 10 9 1 -1 6 11 8 6 10 9 4 10 7 -1 -5 -1 5 5 6 10 15 18 17 13 7 4 8 7 6 13 7 5 14 18 14 8 4 3 4 7 3 2 7 5 7 10 9 10 8 6 15 14 9 13 21 20 15 12 13 14 12 12 12 11 9 7 5 5 6 6 5 4 6 14 19 14 5 3 4 6 8 9 8 7 6 5 4 4 5 4 4 4 4 4 5 5 5 5 5 6 6 5 4 5 4 4 4 4 4 5 5 5 6 5 4 3 3 3 3 3 3 4 4 5 4 4 4 2 -0 -1 -0 2 5 6 7 8 8 8 6 5 5 5 5 6 6 6 6 6 7 7 8 8 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 8 8 8 7 6 6 7 10 12 13 12 11 10 11 12 12 12 12 12 10 8 7 7 7 7 6 4 3 3 4 6 7 8 9 8 6 1 -3 1 5 5 5 6 7 8 8 8 6 4 5 6 5 5 5 5 6 6 7 7 9 6 3 7 8 6 6 6 6 6 6 7 7 7 5 4 3 2 2 3 5 9 13 16 15 12 9 7 6 6 6 6 5 4 4 5 5 5 5 5 6 5 5 4 4 5 5 5 5 6 6 7 7 7 6 5 5 4 5 7 8 7 5 5 7 9 11 12 12 11 10 10 9 9 10 12 12 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 4 4 5 5 5 5 5 5 5 3 3 3 5 7 9 11 14 15 12 9 8 7 6 5 5 4 5 5 4 5 5 5 5 5 6 5 5 6 7 6 3 1 2 4 5 6 6 5 5 5 6 6 6 7 8 8 9 9 9 7 5 5 4 3 2 2 1 1 1 2 2 3 3 3 3 3 2 3 4 5 6 6 6 6 7 7 8 11 13 12 9 6 5 5 6 5 4 3 3 3 4 4 4 4 4 4 6 7 8 10 10 7 6 11 16 21 26 24 13 3 5 12 12 5 -5 -13 -9 -3 -1 1 4 5 6 6 6 6 6 8 9 10 14 19 20 16 10 6 8 10 10 9 8 8 8 9 6 8 14 10 9 4 5 9 5 -1 1 6 9 7 8 4 -1 -1 7 6 -2 -6 -1 6 4 4 7 12 13 12 12 8 4 8 4 2 10 2 5 9 9 10 10 10 9 7 7 7 6 8 6 6 8 9 10 10 9 13 11 11 17 19 16 12 11 11 12 12 12 11 10 8 6 5 4 5 6 5 4 7 16 19 11 4 4 5 7 9 9 8 7 6 5 4 5 5 5 5 4 4 4 4 4 4 5 5 6 5 5 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 2 0 -1 -0 1 3 4 5 7 8 9 8 7 7 6 6 7 6 6 6 6 7 7 8 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 7 8 9 8 7 6 6 8 11 13 13 11 9 9 10 10 10 11 12 11 9 8 5 3 4 5 5 4 3 4 6 7 8 9 9 9 7 3 -2 -1 4 5 6 6 7 8 8 9 8 6 5 5 4 4 3 4 6 6 7 6 7 6 5 7 7 7 7 6 6 6 6 6 7 8 7 4 4 3 2 3 5 7 10 13 14 13 11 8 6 5 6 7 6 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 7 7 7 6 6 5 4 6 8 8 5 5 5 6 7 9 9 10 10 10 9 9 10 11 12 12 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 6 7 6 5 5 5 5 4 4 3 3 2 3 4 6 10 11 11 9 9 7 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 2 1 1 3 4 5 5 4 4 5 6 6 5 5 6 6 7 9 9 9 8 7 6 6 6 5 4 4 4 4 3 3 3 4 4 4 5 5 5 4 3 2 2 2 3 3 5 7 9 10 10 7 5 5 5 4 3 1 2 3 4 5 5 5 4 6 8 11 14 15 11 9 10 8 7 13 23 25 19 11 10 11 6 -2 -11 -14 -7 -2 0 3 5 6 6 6 6 6 6 8 13 15 16 18 16 10 8 8 9 11 10 8 6 6 9 8 5 7 7 3 4 1 2 1 -1 -3 2 7 6 4 3 -1 -2 2 0 -1 -3 -6 -1 5 3 1 4 9 10 11 16 14 10 12 9 7 9 2 3 1 3 6 5 9 10 8 8 8 5 7 10 6 6 11 11 10 10 7 6 12 15 15 12 10 10 10 11 11 11 10 8 7 6 5 5 6 6 5 4 7 15 17 8 3 5 7 8 9 9 8 7 6 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 4 3 3 3 3 3 4 5 4 3 2 0 -0 1 3 4 5 5 7 8 8 8 7 7 7 6 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 6 6 6 9 12 13 12 10 8 8 9 9 10 10 9 8 8 8 7 6 4 4 4 4 5 5 6 7 8 8 8 8 7 5 2 1 3 5 5 6 7 7 7 9 10 10 8 7 7 6 5 4 5 7 7 7 6 6 6 7 7 7 7 7 7 6 6 5 7 9 7 5 4 4 3 3 5 6 8 10 12 12 12 10 9 8 8 8 6 6 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 7 7 7 7 6 4 6 8 8 8 7 5 5 6 7 8 10 10 9 8 8 8 9 10 10 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 7 8 9 9 7 5 5 5 5 5 5 4 3 2 3 4 5 6 7 8 8 6 5 4 4 6 6 7 8 8 8 7 7 6 6 6 6 6 6 5 3 3 3 3 4 5 4 4 5 5 6 6 5 5 5 5 5 7 9 9 9 8 8 7 7 7 7 8 7 7 6 5 5 5 5 6 6 6 5 3 1 -0 -1 -0 0 1 2 3 5 7 7 7 6 5 5 4 3 2 3 4 5 6 5 5 6 9 14 19 21 19 12 6 7 3 1 11 20 21 18 17 8 -2 -9 -10 -11 -9 -3 -0 1 4 6 7 6 6 6 5 6 11 19 20 16 14 12 6 6 9 10 11 10 6 5 6 5 2 3 6 2 1 2 1 -1 -1 1 0 2 7 3 -0 -1 -2 -1 -1 -5 -2 -0 -5 -1 4 3 2 6 10 13 18 23 18 13 15 15 11 7 8 9 1 0 4 3 7 7 7 9 8 5 6 8 2 3 12 10 8 7 4 9 15 14 12 10 9 10 10 10 11 10 8 7 6 6 5 5 6 6 5 4 6 13 16 9 4 6 7 8 9 9 8 7 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 3 2 1 2 3 4 4 5 5 6 7 7 7 7 7 6 7 7 6 6 5 5 6 6 6 5 6 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 8 8 7 6 5 7 9 12 13 11 8 7 8 9 9 9 7 6 5 4 4 7 7 5 4 4 4 5 5 4 5 8 10 8 7 6 5 3 3 4 5 5 6 7 7 7 8 8 9 10 10 9 9 8 6 6 6 7 7 7 6 6 7 7 7 7 7 7 6 5 4 7 9 7 5 4 5 4 4 5 6 6 7 9 10 11 12 12 11 10 8 7 6 6 5 4 5 4 4 4 4 4 5 6 6 6 6 5 5 5 6 6 6 7 8 7 6 4 4 6 7 10 9 8 7 5 5 9 11 11 9 8 7 7 7 8 9 10 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 9 10 11 9 6 4 5 6 6 6 6 5 4 4 3 3 4 5 6 5 4 4 4 4 5 7 9 10 10 11 12 12 10 8 7 6 7 8 7 5 5 4 4 4 4 3 4 5 5 6 6 6 5 4 5 5 6 7 7 8 8 8 7 7 8 9 9 9 9 8 7 7 6 6 6 6 5 4 2 1 -0 -0 -0 -0 0 1 1 2 3 5 4 4 4 5 5 5 5 5 5 6 6 5 6 10 15 20 20 18 15 8 1 3 1 -1 8 14 13 15 14 -4 -21 -22 -13 -7 -3 -1 1 4 6 7 7 6 6 6 7 10 17 22 19 13 9 8 5 3 6 7 8 7 6 5 6 7 7 9 7 7 9 9 3 -2 2 8 5 3 8 3 -2 -2 0 0 -3 -3 3 4 -0 1 5 3 3 7 12 14 22 25 18 13 14 12 7 5 11 12 7 3 -0 2 7 9 6 6 6 5 5 3 -0 5 10 9 8 9 10 16 18 15 12 10 9 9 10 10 10 9 7 6 6 5 5 5 5 5 5 4 5 12 16 11 6 7 8 9 9 8 7 6 6 5 4 5 6 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 3 4 4 5 6 6 5 5 5 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 7 7 7 7 7 8 8 9 9 8 8 7 5 4 6 9 12 12 10 7 6 6 8 8 7 6 5 2 -0 0 4 6 6 5 5 5 6 5 2 2 7 10 9 6 6 4 3 4 5 5 5 5 6 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 4 5 8 8 6 5 5 6 6 5 6 6 6 6 7 9 10 11 13 12 10 9 7 6 6 5 5 5 4 4 3 3 3 3 4 6 6 6 6 5 5 5 5 6 7 8 8 6 4 3 3 5 6 9 10 8 7 8 10 12 13 11 10 7 5 5 6 8 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 10 12 12 10 7 6 5 5 5 6 6 5 5 4 4 4 4 4 4 3 3 3 3 4 6 8 8 9 10 13 16 17 13 9 6 7 8 8 7 7 6 5 5 4 4 4 4 4 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 8 9 9 9 10 9 8 7 7 6 6 5 4 3 2 2 2 2 2 1 1 1 2 2 2 2 3 3 3 5 6 7 7 7 6 5 6 12 20 23 18 9 5 6 5 3 2 -0 -0 3 2 2 7 -0 -19 -31 -20 -9 -4 -1 0 4 7 8 8 7 7 6 9 13 16 18 18 15 12 9 6 4 2 2 4 4 2 7 6 5 9 14 15 10 10 11 8 5 4 6 8 7 7 15 7 -0 2 4 4 4 6 6 5 4 5 5 0 3 9 11 10 13 17 16 13 12 10 6 6 8 9 7 1 -1 4 8 8 2 -1 2 7 9 8 9 12 11 8 12 20 26 24 17 13 11 10 10 10 10 10 9 8 7 6 5 5 5 5 5 5 4 3 6 13 16 11 8 8 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 3 3 3 4 5 5 6 6 5 5 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 6 7 7 7 7 8 8 9 9 8 8 7 5 4 4 6 9 12 12 10 7 5 6 6 6 5 5 5 3 1 2 3 5 5 5 5 6 7 5 3 2 4 8 8 6 5 3 3 4 5 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 4 5 8 9 6 4 5 7 7 6 6 6 6 6 7 8 9 10 11 12 11 9 8 6 5 5 6 7 7 5 4 3 2 2 2 3 5 6 6 5 5 5 4 5 6 8 8 6 4 4 3 3 4 7 8 7 8 10 11 9 10 12 11 8 5 5 6 7 8 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 9 11 13 13 11 9 7 6 6 5 5 5 5 4 4 4 4 4 5 4 4 3 3 3 4 4 5 5 5 9 15 19 16 10 6 6 7 8 8 8 7 6 6 5 4 4 3 4 4 5 6 5 4 4 6 7 7 6 5 5 5 5 5 5 7 8 8 9 9 9 9 9 8 8 7 7 6 5 5 6 6 5 4 4 3 3 3 2 2 2 2 2 1 3 4 5 7 7 5 6 12 22 24 18 9 -1 -3 2 7 5 1 5 8 4 -5 -9 -13 -20 -25 -22 -10 -5 -2 0 3 7 9 9 9 8 8 10 14 17 16 13 11 13 13 11 9 7 5 5 7 6 3 6 6 3 4 8 11 9 10 12 8 7 6 6 6 7 11 18 11 3 8 10 7 7 8 6 5 6 7 3 -1 4 12 12 8 3 6 9 8 10 11 9 8 6 6 4 2 0 6 10 7 1 -4 -2 5 12 16 18 20 16 13 18 25 27 21 14 11 10 9 9 9 9 9 8 7 6 5 5 5 5 6 6 5 3 2 8 14 13 8 7 8 9 9 8 7 6 6 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 5 4 4 5 5 5 5 5 4 5 5 6 6 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 7 7 7 7 8 8 9 9 8 7 6 5 4 4 5 8 11 12 11 7 5 6 6 5 4 5 5 4 4 5 5 5 5 5 5 6 6 5 4 3 4 5 6 6 4 2 3 4 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 4 6 9 9 6 4 5 7 8 8 7 5 5 6 7 8 9 10 11 11 11 10 9 7 6 6 6 6 7 8 7 5 4 2 2 2 3 4 5 6 5 4 4 4 4 5 6 6 5 4 4 2 3 4 5 6 6 7 7 8 8 9 8 7 6 6 6 6 7 10 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 7 7 7 9 11 11 11 10 9 9 8 7 6 5 4 4 4 4 4 5 5 5 4 3 3 3 2 2 2 2 2 4 9 14 15 11 7 6 7 7 8 8 8 8 6 5 4 3 3 3 4 5 5 5 4 4 5 6 7 6 5 5 5 4 4 5 5 5 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 5 4 4 4 3 3 3 2 2 3 4 5 6 12 21 22 16 11 4 -2 -2 3 4 -1 3 19 26 16 2 -5 -13 -19 -17 -11 -5 -3 -0 4 8 9 10 9 8 9 12 15 17 15 11 9 10 13 13 11 11 10 7 8 10 8 7 9 8 2 -0 2 9 12 15 13 8 5 5 8 5 5 11 12 10 6 12 12 8 6 6 5 4 5 6 2 0 5 12 11 5 1 9 8 1 3 8 9 8 7 9 8 3 -0 4 12 11 7 -2 -4 3 10 13 17 22 22 20 20 21 18 14 11 9 9 8 8 8 9 8 8 6 5 5 5 5 5 7 7 5 2 2 7 13 11 6 6 8 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 3 4 4 4 4 4 5 5 5 6 5 4 4 5 5 5 5 5 5 5 6 7 6 6 5 5 5 5 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 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 5 3 3 4 7 11 12 11 8 5 5 5 5 4 4 4 4 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 3 2 3 4 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 5 4 7 10 9 6 6 6 7 8 8 7 5 5 6 6 7 9 10 11 11 11 11 11 10 9 8 6 5 4 6 8 7 5 4 4 3 3 3 4 5 5 5 4 3 3 3 4 5 5 4 3 3 2 4 5 5 6 6 5 5 7 6 5 5 6 6 6 6 7 10 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 8 8 8 7 8 9 9 10 9 9 10 11 9 8 7 6 6 5 5 4 5 5 5 5 4 4 4 3 2 2 2 1 1 4 8 11 10 8 7 7 7 6 7 8 8 6 4 3 3 3 3 4 5 5 4 4 4 4 5 6 7 6 6 5 4 4 4 4 5 6 6 6 6 7 7 8 8 9 8 8 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 5 4 3 3 4 11 22 26 15 8 8 4 1 4 7 -0 -7 10 28 35 24 9 3 -1 -8 -11 -8 -5 -1 4 9 11 11 10 8 9 12 17 18 15 12 11 10 10 12 12 10 9 8 6 6 8 6 8 11 9 5 1 5 10 12 10 7 4 3 5 10 8 5 8 3 5 7 9 11 9 5 4 5 5 6 7 6 4 5 9 9 1 4 15 11 4 3 5 5 6 9 13 8 1 3 5 9 12 10 1 -3 2 7 10 15 21 23 21 18 15 11 10 9 8 7 7 7 8 8 8 7 6 5 5 5 5 6 7 7 5 3 2 6 11 12 9 7 8 9 9 7 6 5 6 6 5 6 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 3 3 4 5 4 4 5 4 4 5 6 5 4 4 5 5 5 5 5 5 6 7 8 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 5 4 2 3 6 10 12 11 9 6 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 2 2 3 3 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 6 5 6 10 11 8 5 5 6 8 9 8 7 6 4 4 6 7 8 11 12 12 12 13 13 13 13 11 8 6 4 4 5 6 6 5 6 6 6 5 5 5 5 5 5 4 3 3 3 3 4 3 3 3 2 3 4 5 6 6 5 5 5 5 5 5 5 4 5 6 7 10 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 12 11 10 9 9 9 10 9 8 8 10 10 10 9 8 8 8 7 6 6 5 5 5 5 5 6 6 5 4 4 3 2 2 3 5 7 8 10 10 8 5 3 4 6 7 6 4 3 3 3 4 4 5 4 4 4 3 3 4 5 6 7 7 6 5 5 4 4 5 6 6 6 5 4 5 6 7 8 8 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 6 4 9 20 26 19 9 4 1 0 5 9 7 -3 -7 15 23 25 18 2 -6 -9 -14 -13 -7 -1 5 10 12 12 10 9 9 9 14 19 17 13 12 14 13 9 9 10 9 9 10 5 5 5 4 7 9 9 7 5 4 3 4 5 3 2 6 10 10 7 6 7 1 2 5 4 5 7 6 5 7 9 10 11 11 8 5 9 11 4 9 13 11 8 7 7 7 7 10 13 9 3 8 8 4 5 7 4 2 4 5 8 13 17 18 18 15 12 10 9 8 7 7 8 8 7 8 8 7 6 5 5 4 4 5 7 7 5 3 3 6 10 12 11 8 7 8 8 7 6 5 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 3 3 4 5 4 4 4 3 3 5 6 5 4 4 5 5 5 5 5 5 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 7 7 7 8 8 8 7 6 6 6 6 7 6 4 3 3 5 8 11 11 9 7 4 2 2 4 4 7 8 6 6 6 6 6 5 5 4 4 3 3 4 4 4 4 3 1 2 3 3 4 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 6 6 7 7 7 7 7 8 8 7 5 5 8 13 10 6 5 5 7 8 9 8 7 6 5 4 5 6 8 10 12 13 13 14 15 16 14 12 11 11 11 8 5 4 4 5 5 7 7 7 6 6 6 6 5 5 4 3 4 3 3 3 3 2 2 2 3 4 6 7 6 5 5 5 5 5 5 4 5 6 7 9 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 13 13 13 12 12 11 11 11 10 9 9 9 8 8 8 9 9 9 9 8 7 6 5 4 5 6 6 7 6 5 4 3 3 4 4 5 7 9 11 8 4 1 2 4 5 5 3 3 4 4 4 4 5 5 4 4 3 3 3 4 6 7 7 6 6 5 5 5 5 6 6 6 5 4 4 4 5 7 7 7 7 7 8 9 9 8 7 7 7 6 5 5 6 7 8 9 9 9 8 11 17 18 12 6 3 -0 -2 3 11 13 7 -3 -4 7 10 7 5 -14 -22 -22 -16 -8 1 8 12 13 12 10 8 9 12 11 16 20 16 12 12 13 13 10 7 7 8 12 12 6 6 6 4 4 7 9 8 6 3 -2 0 6 8 5 11 13 8 9 12 10 5 4 4 4 2 4 5 5 7 9 10 11 13 9 7 10 11 7 8 6 7 5 7 13 12 10 11 13 10 7 12 12 4 1 4 4 4 4 5 9 12 13 14 14 13 11 10 9 8 8 8 8 8 8 8 8 7 7 6 4 4 4 5 6 6 4 4 5 5 8 13 14 9 5 6 7 7 6 5 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 3 2 2 5 6 6 5 4 5 5 6 5 5 5 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 5 5 6 6 8 8 7 7 6 6 7 7 7 7 7 6 5 5 6 6 7 6 4 3 3 5 7 10 10 10 7 4 2 2 2 1 5 8 7 6 6 5 5 4 4 3 3 3 4 4 4 4 4 2 2 2 3 3 4 5 5 6 6 7 6 7 7 7 8 7 7 7 6 7 6 7 7 7 7 6 7 7 8 8 8 6 5 6 11 12 8 5 5 6 8 8 9 8 7 6 5 5 6 6 7 9 11 12 13 14 16 16 15 14 13 16 17 17 13 9 6 5 4 5 6 6 6 6 5 5 5 6 5 4 4 4 4 4 3 3 3 2 2 3 5 6 6 6 5 5 5 5 5 5 5 5 6 8 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 11 12 12 12 12 13 13 12 12 11 10 9 8 8 8 8 9 10 10 10 8 6 4 4 5 6 6 6 6 5 5 4 4 4 5 6 8 11 9 5 1 1 2 4 4 4 4 4 5 5 5 5 5 5 4 4 3 2 3 5 7 8 7 7 7 6 5 5 5 6 7 7 6 4 4 4 5 6 6 6 6 7 8 8 7 7 7 7 7 7 7 8 8 9 10 10 11 12 14 12 4 -2 -3 -5 -4 6 12 16 13 7 0 -4 -6 3 2 -6 -18 -18 -12 -3 4 10 13 13 11 8 7 9 15 18 14 17 18 14 10 8 9 11 10 7 6 9 13 11 7 7 12 10 5 3 5 7 8 6 1 -1 3 7 5 8 4 3 13 18 14 12 10 7 6 4 7 10 8 6 6 5 7 8 6 8 9 6 5 4 3 5 2 8 17 16 10 8 9 9 11 14 13 7 2 3 3 4 8 10 9 9 10 10 10 10 9 10 9 9 8 9 8 7 8 7 8 8 7 7 5 4 4 5 5 4 4 4 6 5 8 16 17 9 2 2 5 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 5 5 5 4 4 4 5 5 5 4 2 1 2 4 6 6 5 4 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 6 5 4 3 4 6 8 9 10 8 6 3 3 2 2 3 6 7 6 5 4 4 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 4 5 6 6 6 6 7 7 7 7 8 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 7 5 5 8 12 9 6 6 6 8 9 9 8 7 7 6 6 6 6 7 7 8 9 10 11 12 14 16 16 15 14 17 21 25 24 18 12 8 7 5 5 6 6 6 5 5 5 6 6 6 5 5 4 4 4 4 4 3 2 3 4 5 6 6 6 5 5 5 4 5 5 5 5 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 9 9 11 11 11 12 14 15 14 14 13 12 12 10 8 7 8 9 10 10 10 8 6 5 5 6 5 5 5 6 5 5 5 5 5 5 7 9 10 8 4 2 2 4 4 4 4 4 5 5 5 5 5 5 4 4 3 2 2 4 6 7 7 7 7 6 5 4 4 5 6 8 8 6 4 4 4 4 4 5 5 6 7 7 7 7 8 9 10 10 10 10 11 11 11 12 15 16 11 4 -2 -2 -3 -4 5 14 13 12 9 7 3 -5 -5 6 9 1 1 4 8 11 14 15 13 9 6 6 9 13 20 20 14 14 14 12 9 5 5 9 12 9 5 6 9 8 6 7 15 15 8 2 -0 5 9 9 6 2 -1 3 6 2 -4 -3 6 11 12 14 13 9 6 7 10 10 8 7 6 5 5 2 3 6 5 2 4 6 7 4 1 9 16 14 9 3 1 7 14 13 9 6 7 5 4 7 15 16 10 7 6 6 6 7 8 9 9 9 8 8 6 6 7 7 8 8 8 7 6 4 4 4 4 3 3 4 6 7 10 14 14 9 4 1 2 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 6 6 5 4 2 0 2 4 5 5 5 5 7 8 7 7 6 5 5 5 4 4 5 4 4 4 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 6 6 6 6 5 4 5 5 6 7 6 5 4 4 4 6 7 9 10 9 7 5 5 6 7 5 6 6 6 5 4 3 3 4 4 4 4 5 5 5 4 3 4 5 5 4 4 4 5 6 6 6 7 7 7 7 7 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 6 4 6 11 10 7 6 6 7 8 9 9 7 6 6 5 6 6 7 8 7 7 7 7 8 9 11 13 14 14 14 16 20 25 26 22 16 12 10 8 8 8 9 8 7 6 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 5 6 6 5 5 5 5 5 5 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 9 9 9 10 12 12 13 13 14 15 16 13 10 8 8 7 8 9 10 9 8 8 8 7 6 5 4 5 5 5 5 5 5 5 5 8 10 10 7 5 4 3 4 3 4 5 5 5 5 5 5 4 4 4 3 3 2 4 5 6 7 7 7 6 4 3 3 4 6 9 8 7 6 5 4 3 3 4 4 5 5 6 6 7 8 10 10 11 11 11 12 11 11 15 20 16 9 3 2 2 2 3 10 10 7 4 2 4 3 0 2 8 11 9 14 16 17 17 16 12 6 3 4 8 14 17 16 13 12 12 11 9 8 8 8 11 13 10 5 4 4 3 4 6 10 11 11 9 5 5 5 6 8 6 3 4 5 -4 0 2 -2 3 8 10 9 7 6 11 13 10 7 8 6 7 7 5 5 8 7 4 5 8 8 4 -0 5 11 15 13 2 1 7 10 8 5 7 9 5 5 11 16 13 7 4 5 6 6 7 8 8 9 9 8 7 6 6 6 6 7 8 8 7 6 5 5 4 3 2 3 4 6 8 9 10 11 11 8 4 3 4 5 5 5 5 5 6 6 6 6 6 7 7 7 8 7 7 7 7 7 6 6 5 6 6 6 5 4 2 0 2 5 5 4 4 6 8 9 9 7 6 6 5 4 4 4 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 6 7 7 7 6 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 6 6 5 5 5 6 7 8 9 8 7 6 7 9 9 6 5 6 5 4 3 3 4 4 4 5 5 5 6 5 3 3 4 6 6 4 4 4 5 5 6 6 7 7 7 8 7 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 5 4 7 10 8 6 5 6 6 7 8 8 6 5 5 5 6 6 7 8 8 7 6 6 6 6 8 9 10 11 12 13 16 19 20 19 17 15 12 11 11 11 12 12 11 9 8 7 6 6 7 7 7 6 6 5 5 6 5 4 4 3 4 6 6 6 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 7 6 6 7 7 8 8 9 10 11 12 14 16 16 12 9 7 7 7 8 8 9 9 9 9 10 9 7 5 4 5 5 5 5 5 5 5 5 7 9 8 6 5 4 3 4 4 5 4 4 4 5 4 4 4 4 4 3 3 4 5 6 7 7 7 6 4 3 3 4 6 8 9 8 7 6 4 4 4 4 5 5 5 5 5 6 7 7 7 7 7 7 8 9 10 12 9 5 5 4 4 3 3 4 6 9 6 -0 -0 5 5 4 6 8 8 7 11 15 16 15 9 3 0 1 6 13 18 15 8 8 10 11 10 8 7 9 11 14 15 11 7 4 3 3 3 4 5 7 13 16 12 9 4 2 5 5 6 9 9 1 5 6 1 5 7 7 5 3 6 13 15 12 8 6 3 9 13 11 9 10 11 8 5 7 9 6 3 3 7 16 13 6 12 12 6 2 4 9 9 5 5 11 12 6 2 3 7 9 10 9 8 8 9 10 9 7 6 6 6 7 7 7 7 7 7 6 5 4 3 2 2 4 6 8 7 6 10 11 9 9 8 5 4 5 4 3 4 6 6 6 7 7 6 7 7 7 7 7 8 7 7 6 7 7 7 6 6 5 4 1 0 3 5 3 2 4 7 10 10 10 8 7 6 6 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 7 7 7 6 5 5 4 3 3 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 9 8 7 6 6 7 7 6 5 5 4 3 3 3 4 5 5 5 5 5 6 5 3 3 4 6 5 4 4 4 5 5 6 7 7 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 6 6 8 8 8 6 5 7 9 7 5 5 5 5 6 7 6 5 5 5 6 6 5 6 8 8 7 6 5 5 5 6 6 7 8 9 9 11 14 15 15 16 15 14 14 13 13 15 16 15 13 11 9 9 9 8 9 9 8 7 7 7 6 6 5 5 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 5 6 6 5 6 7 8 9 10 12 13 14 12 10 8 7 7 8 9 9 9 8 9 10 10 9 8 7 5 5 5 6 5 5 4 4 5 6 6 7 7 6 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 4 3 4 5 6 7 8 9 9 7 6 5 4 4 5 6 6 5 4 5 5 4 2 2 2 3 5 7 9 7 2 2 5 7 7 8 8 7 9 13 6 -2 4 13 13 8 9 15 14 12 13 14 10 5 -1 -3 -1 4 13 19 17 9 4 7 11 12 11 9 6 6 10 13 15 10 8 7 6 6 1 4 7 8 11 13 14 14 8 6 9 6 6 9 11 9 6 7 10 8 6 4 0 -1 6 15 12 7 8 8 5 8 11 9 9 10 10 5 1 8 13 9 8 8 8 11 4 8 20 14 3 -1 3 8 10 9 9 10 8 2 1 6 11 14 13 11 9 9 10 10 9 7 6 6 7 7 8 6 6 6 6 6 6 6 4 2 3 5 6 7 6 5 7 8 9 13 12 7 5 5 3 1 3 5 6 6 6 7 6 6 6 7 6 7 7 7 7 7 8 8 7 6 5 5 4 2 1 4 5 1 0 4 10 11 10 10 9 8 7 6 4 3 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 7 8 7 6 5 5 5 5 4 4 4 5 5 4 5 5 4 4 4 4 5 5 5 5 5 5 5 6 8 9 10 9 7 7 6 7 7 6 5 4 4 2 2 4 5 5 5 4 4 5 5 4 2 2 4 6 5 4 4 4 5 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 8 8 8 6 5 7 8 6 4 4 5 6 6 6 5 5 5 6 6 6 6 6 6 7 7 6 5 4 4 4 5 5 5 5 7 8 10 10 11 12 13 14 14 14 14 16 17 18 16 14 12 12 13 13 11 11 10 10 10 9 7 6 6 6 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 7 6 5 6 6 6 6 6 7 8 9 11 11 10 9 9 9 9 10 11 10 9 8 8 9 10 11 10 9 8 7 6 6 6 6 5 5 4 5 6 6 8 9 8 6 5 5 5 7 7 6 4 3 4 4 4 5 4 4 4 4 5 6 6 6 4 5 6 8 7 5 6 8 9 8 7 5 5 6 6 7 7 6 6 5 5 3 1 1 1 2 3 6 9 9 8 6 5 6 9 12 13 13 14 11 3 -2 8 21 27 24 19 19 17 14 12 7 0 -4 -5 -2 3 11 20 20 13 5 3 6 8 10 10 10 8 7 9 11 14 10 8 7 6 7 4 6 8 10 7 6 11 12 10 10 12 9 9 10 10 8 5 12 13 5 7 1 -4 -2 7 15 13 10 11 9 9 4 1 4 6 9 9 3 0 9 13 8 8 11 13 9 1 9 17 12 2 -2 1 7 12 16 15 11 6 1 1 9 14 15 13 11 9 10 11 10 9 8 7 7 8 8 7 6 5 6 6 6 6 6 5 5 6 5 5 5 5 4 4 5 9 13 10 6 9 10 5 1 1 4 5 6 6 6 7 6 6 6 6 6 6 6 6 7 9 9 8 6 5 6 5 3 3 5 5 0 -0 7 13 12 10 9 10 10 8 7 5 4 4 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 8 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 8 9 10 10 9 7 6 6 7 5 3 3 3 3 4 5 5 5 5 4 4 4 4 3 0 1 5 6 5 4 4 5 6 6 6 7 7 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 6 5 6 7 5 4 5 6 6 6 5 4 5 6 7 7 6 6 5 6 7 7 6 5 4 3 3 4 5 4 4 5 6 6 7 8 9 10 11 12 13 13 14 17 18 18 16 14 14 15 16 15 13 12 13 12 11 9 8 7 7 6 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 9 9 8 7 6 6 7 6 6 5 7 8 9 9 9 9 10 10 11 13 13 12 10 9 8 9 10 10 10 11 10 9 8 7 7 7 7 6 5 5 5 5 6 8 8 7 6 6 7 8 8 7 4 3 3 3 5 6 6 5 4 3 4 6 6 5 4 6 9 9 6 4 4 6 8 8 7 6 7 7 8 8 7 7 7 7 6 4 4 3 2 3 4 6 10 13 12 7 3 4 7 9 11 14 16 12 4 0 9 21 29 30 21 11 6 2 -1 -5 -5 -5 -2 2 10 18 19 14 8 4 3 3 3 4 7 9 10 9 9 12 13 10 8 6 3 8 9 6 8 9 4 1 3 5 12 13 6 5 9 9 7 7 10 14 8 3 4 1 -0 8 11 8 7 11 12 8 7 5 1 2 5 8 8 6 5 9 9 4 3 8 15 14 6 6 10 12 6 0 3 9 13 16 14 9 5 1 3 10 14 14 12 10 9 9 10 10 9 8 8 9 9 8 7 7 6 6 7 7 6 5 5 8 8 5 4 4 5 4 3 3 6 10 9 9 11 12 6 1 1 3 4 5 6 6 6 6 6 6 6 6 5 5 5 7 9 10 8 6 5 5 5 4 4 5 4 1 3 10 14 12 9 9 11 10 9 7 6 4 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 6 5 5 5 5 4 5 5 5 5 5 5 5 6 5 5 4 4 5 5 5 6 6 5 5 6 7 9 11 12 10 8 6 5 5 4 3 3 3 4 5 5 5 5 5 3 3 4 4 4 1 0 5 6 5 5 4 5 6 6 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 6 7 6 4 5 6 6 6 5 5 5 6 7 7 6 6 6 6 6 6 6 5 5 3 2 3 4 4 4 4 5 5 5 5 6 7 8 9 10 11 12 14 16 17 16 16 15 16 17 17 16 15 14 13 12 12 11 10 9 8 6 5 5 3 2 2 3 3 4 4 4 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 9 10 11 9 8 7 7 7 6 6 6 7 8 9 8 8 9 9 10 12 13 14 14 13 11 11 11 12 11 12 12 12 12 11 10 8 8 8 7 7 6 5 5 5 5 6 6 6 7 9 10 8 6 3 2 2 3 5 8 10 9 6 4 4 5 5 4 4 7 11 11 6 3 3 5 6 6 7 8 9 9 8 7 7 7 7 8 7 6 6 4 4 4 5 6 9 14 16 11 6 4 6 6 6 11 18 17 10 3 10 20 18 12 9 -1 -9 -10 -11 -8 -1 1 2 8 17 20 14 8 6 6 3 1 0 2 4 7 10 8 9 13 12 8 8 6 3 9 10 3 5 7 4 2 1 4 16 14 4 1 2 1 3 10 14 10 5 2 -3 1 9 19 16 6 3 6 8 6 6 8 5 6 8 8 7 7 8 10 8 3 -0 2 11 16 13 8 7 9 7 4 9 11 9 8 7 7 5 4 6 10 13 12 11 9 8 8 10 10 10 10 9 9 10 8 8 8 7 6 6 6 5 4 5 8 9 6 3 4 4 3 2 2 5 8 9 12 11 7 3 1 4 4 5 6 6 6 6 5 4 5 5 5 4 3 4 6 9 9 8 7 6 6 5 5 5 5 3 2 7 12 14 11 9 9 10 10 9 7 6 6 6 6 5 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 8 7 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 7 9 11 12 11 10 6 4 2 2 4 4 3 4 4 4 4 5 4 4 3 4 4 4 3 2 5 6 6 5 5 5 6 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 5 6 8 10 7 4 4 6 7 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 3 2 3 4 4 5 5 5 5 5 5 5 5 6 8 10 11 12 13 14 16 16 16 15 15 16 17 16 15 14 12 12 13 12 11 10 9 7 6 5 4 3 3 3 3 3 4 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 15 12 7 5 -1 -2 8 19 22 16 13 13 13 11 9 5 8 11 11 15 17 16 12 11 11 15 15 14 17 18 15 5 4 3 1 7 11 14 11 6 4 14 14 12 15 16 16 15 17 17 16 14 14 14 16 17 19 19 18 19 22 23 23 20 17 12 7 4 5 13 17 19 16 14 11 9 11 14 16 18 19 18 16 13 9 8 9 10 10 12 12 12 11 10 7 6 7 8 9 10 12 13 13 12 11 13 13 13 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 13 14 13 12 12 11 11 12 12 13 13 13 13 13 14 14 14 13 11 10 7 7 13 20 21 15 8 10 17 19 17 14 13 12 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 14 14 13 13 13 14 14 13 13 12 11 11 13 13 13 12 11 11 12 14 15 16 14 13 13 14 14 14 13 13 12 12 12 13 13 13 12 12 14 18 19 16 14 14 14 15 16 16 16 15 15 15 15 15 15 14 13 13 13 13 14 16 17 17 16 16 16 15 15 15 13 10 10 15 18 15 14 14 14 14 15 16 16 15 15 14 15 15 15 15 15 16 15 15 17 17 17 17 16 16 14 13 13 13 12 11 11 11 11 10 11 12 13 13 12 12 12 14 14 13 12 12 11 11 12 11 11 11 11 12 12 12 12 12 12 13 13 15 17 17 15 13 11 10 9 9 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 10 10 10 11 12 11 10 10 11 12 12 10 9 10 10 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 14 15 16 17 17 15 14 13 14 15 14 14 12 11 11 11 12 12 13 13 13 14 14 14 15 16 15 14 13 12 9 8 9 10 10 10 10 10 11 11 12 11 7 4 2 6 12 21 25 23 18 14 12 11 11 11 10 10 10 11 11 12 13 13 13 14 14 13 14 14 14 14 15 15 14 14 13 12 13 13 14 15 15 16 17 17 18 19 18 16 15 15 15 16 16 15 13 12 12 12 13 13 13 13 13 14 14 15 16 16 15 15 14 14 13 12 12 13 13 nan
nan nan nan nan nan nan nan 12 19 16 13 8 8 9 12 10 6 5 10 15 18 18 15 10 7 10 13 18 18 16 16 13 9 2 1 5 11 15 15 12 8 8 12 12 13 14 13 12 13 16 16 16 14 13 14 15 18 19 18 13 12 16 17 18 19 18 16 14 11 11 14 16 16 15 13 11 11 11 12 11 13 15 19 19 17 9 5 9 11 12 11 11 10 11 11 9 7 6 6 7 8 9 11 11 11 12 13 13 13 12 11 10 9 10 11 12 12 12 12 13 13 13 13 13 12 11 12 13 12 12 12 12 11 11 12 12 13 13 13 14 14 15 13 12 12 11 11 13 16 19 17 12 9 7 9 13 16 15 12 11 12 12 12 13 14 14 13 14 14 13 13 14 14 13 13 13 13 13 13 13 13 14 14 13 12 12 11 12 14 14 13 12 12 13 13 14 16 16 16 14 13 13 13 13 12 13 12 12 13 14 13 11 10 8 10 19 21 17 16 16 16 16 15 15 15 15 15 14 14 15 15 16 15 14 13 13 14 16 16 18 17 16 16 16 17 17 14 10 7 10 14 14 14 14 15 16 18 20 20 17 15 13 13 14 14 15 15 14 14 14 15 15 16 16 16 15 15 15 14 13 12 12 12 11 11 11 12 12 11 12 11 11 12 11 12 12 12 12 12 11 11 10 11 11 11 11 11 12 11 12 12 13 14 14 15 13 10 9 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 10 8 9 10 11 11 12 11 10 9 9 11 12 13 13 13 12 13 13 13 14 13 14 15 16 15 14 13 13 14 15 15 14 13 11 10 10 12 12 12 13 13 13 14 14 14 15 15 15 14 12 13 13 14 16 16 12 11 11 11 11 11 11 11 11 13 19 24 28 26 21 18 16 13 11 11 11 10 10 11 11 12 12 13 13 14 14 14 13 13 13 14 15 15 15 14 13 13 13 13 13 14 14 14 14 16 19 20 20 19 15 13 14 15 16 16 15 13 12 13 13 13 14 14 13 13 13 14 14 15 16 15 16 15 14 13 13 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 8 7 8 15 18 19 17 15 11 11 8 10 19 16 12 12 14 13 10 9 9 12 17 18 17 12 9 5 8 11 14 15 15 15 15 14 14 14 13 12 12 13 13 10 5 6 9 9 10 12 14 17 16 14 15 15 15 13 11 11 10 11 10 10 10 9 10 13 16 17 13 9 8 10 12 11 12 12 13 14 14 13 11 8 7 7 7 8 9 9 10 11 12 13 14 14 12 9 8 9 11 11 11 12 12 12 13 14 13 12 11 11 11 11 12 12 11 11 12 13 13 13 13 14 15 15 15 12 10 10 14 16 16 16 16 14 13 12 8 8 13 15 15 12 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 13 14 13 13 14 13 13 12 11 11 12 14 14 13 11 10 7 9 16 26 27 20 15 13 12 13 12 12 12 12 13 14 14 13 12 11 8 8 14 16 15 15 16 17 17 16 15 15 15 15 14 13 13 14 16 16 15 14 13 12 13 14 17 17 15 14 15 16 17 18 18 15 12 14 15 15 14 13 13 15 19 22 20 16 14 14 14 13 14 15 15 15 14 14 15 15 16 16 16 16 16 15 14 14 13 12 12 12 11 11 11 11 12 11 11 10 10 9 10 11 11 11 11 11 11 10 11 11 11 11 11 12 12 13 15 16 16 14 11 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 10 11 11 11 11 10 8 8 9 10 12 12 12 11 10 10 11 12 13 14 14 13 13 13 13 13 13 13 15 15 14 12 13 14 14 12 10 8 6 6 8 10 12 12 13 13 13 13 14 14 14 14 13 14 13 13 15 18 19 19 16 14 13 12 12 11 11 12 12 14 17 21 23 21 17 14 13 12 12 12 11 12 11 11 12 12 13 13 14 13 14 14 13 13 12 13 14 15 16 15 14 13 14 14 13 13 13 14 14 15 16 19 21 21 17 13 12 14 16 15 14 14 13 13 13 13 12 13 14 14 14 14 14 15 15 15 15 15 15 14 13 13 12 12 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 9 5 5 14 18 17 10 8 12 21 20 13 11 11 15 17 14 10 8 6 7 11 15 17 16 15 15 13 13 15 14 14 14 15 16 12 7 9 8 5 5 7 9 12 14 15 16 15 13 11 9 8 7 8 9 9 9 9 9 9 10 14 18 12 9 11 12 12 13 13 13 14 15 15 14 11 9 8 8 8 8 8 10 12 12 13 14 15 14 11 9 10 11 11 11 12 12 13 14 14 13 13 12 11 11 11 11 11 12 13 13 13 14 13 13 14 15 15 14 11 10 12 16 18 17 15 15 13 12 11 10 10 13 14 13 12 11 10 12 13 13 13 13 12 12 13 13 14 13 12 13 13 13 13 13 13 13 13 14 13 12 12 12 12 13 13 13 13 12 9 3 1 6 21 32 32 27 19 14 12 12 13 12 12 12 13 13 14 13 13 12 11 12 12 12 14 16 16 16 16 16 15 15 14 13 13 12 12 14 16 16 15 14 11 11 13 15 17 16 15 14 13 11 17 22 18 15 15 16 16 14 12 7 4 7 12 17 19 19 17 16 16 15 15 16 16 16 15 15 17 17 17 17 17 16 15 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 11 10 10 10 10 11 11 12 12 13 14 15 17 16 14 11 10 9 10 10 10 11 11 11 11 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 10 8 8 8 10 11 12 12 11 11 11 11 13 13 14 14 14 13 13 14 14 13 13 13 13 13 14 14 14 11 7 4 3 5 7 10 12 12 13 14 14 13 14 14 14 14 14 13 13 14 15 18 19 16 14 13 14 13 13 13 12 12 12 12 13 13 13 13 12 11 11 11 12 12 12 13 12 11 11 11 13 14 14 14 14 13 13 12 12 12 14 15 16 16 15 15 14 14 13 13 14 13 13 14 15 17 20 22 19 15 13 13 15 15 13 13 14 13 13 13 13 13 14 14 13 13 14 15 15 15 15 16 15 14 14 14 13 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 8 9 18 16 13 9 10 11 12 11 9 8 10 10 11 12 14 12 11 13 14 13 14 14 14 16 18 20 17 17 15 8 3 1 3 5 7 8 11 11 9 7 6 5 5 5 7 9 10 10 10 10 9 10 15 18 11 11 12 13 14 14 13 13 13 13 15 13 12 11 10 10 9 8 9 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 12 12 13 13 14 13 13 13 14 14 14 13 13 12 14 16 17 16 14 14 13 12 11 12 13 14 13 12 11 11 11 12 13 14 13 12 12 11 12 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 12 13 13 13 12 12 12 12 11 7 1 -1 4 16 25 31 31 23 16 13 13 13 12 12 12 12 12 13 14 14 13 12 12 12 13 15 15 15 15 17 18 17 15 14 15 14 13 14 15 16 16 15 13 12 12 14 16 18 18 15 12 8 12 19 18 16 15 15 15 17 17 12 6 6 9 13 16 18 19 18 17 16 17 17 17 17 17 16 16 16 17 16 16 15 15 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 11 11 12 12 12 13 14 16 16 16 14 11 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 11 12 11 11 11 11 11 11 11 10 11 10 9 8 8 9 11 12 12 11 10 11 12 13 14 14 14 14 14 14 14 13 13 13 14 14 15 15 15 13 10 9 9 10 11 13 13 13 14 14 13 13 14 15 14 14 14 14 13 13 14 14 16 16 13 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 10 12 13 14 14 15 14 13 13 13 12 12 13 15 16 16 16 16 15 13 13 13 13 13 13 13 15 16 17 19 21 19 14 13 13 13 13 13 13 13 13 13 12 13 14 14 14 13 13 13 14 14 16 17 16 15 14 14 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 12 15 14 12 13 15 13 10 8 7 9 12 12 12 15 16 16 17 18 19 18 18 16 14 9 6 5 5 6 7 7 7 6 4 5 6 9 10 10 11 11 11 10 10 10 13 17 16 11 9 11 12 12 13 11 10 12 13 13 11 10 10 11 11 10 9 9 10 11 12 11 11 11 11 12 13 13 13 13 13 12 13 13 13 13 13 12 12 11 11 11 12 12 11 13 14 14 13 13 13 13 13 13 13 14 14 14 15 15 14 13 12 14 13 12 13 14 14 13 13 12 11 12 13 13 14 13 13 13 12 12 12 13 14 14 13 12 12 13 13 13 13 14 13 13 13 13 13 13 13 12 12 12 12 13 14 10 4 -1 -0 8 18 33 34 21 15 14 13 13 12 11 12 13 13 14 14 13 13 13 12 12 14 15 14 13 16 22 25 21 17 18 16 15 15 15 14 13 14 14 13 12 13 15 16 17 16 14 12 13 15 16 16 16 16 16 17 17 18 15 11 10 10 12 14 17 18 17 17 17 16 17 17 16 16 16 15 15 14 14 15 15 14 13 13 12 13 13 12 12 12 11 11 11 12 11 12 12 11 11 11 11 11 12 12 13 13 14 15 17 17 16 15 12 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 10 11 12 12 12 11 11 12 13 14 14 14 14 14 14 14 13 12 14 16 16 15 14 13 12 12 12 12 13 14 14 13 13 13 14 13 14 14 14 14 14 14 14 14 13 14 16 16 14 12 11 11 12 12 12 12 13 13 13 13 12 11 11 11 12 11 10 11 11 12 11 11 12 12 13 13 14 15 15 14 14 14 13 12 12 14 15 16 16 16 15 15 14 13 13 13 13 13 14 15 16 18 17 18 18 16 14 12 12 13 14 14 13 12 11 12 13 13 13 14 14 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 7 9 12 12 13 15 15 17 19 20 19 17 16 16 16 17 16 13 11 9 8 11 13 12 8 6 9 13 15 15 14 12 10 8 10 13 17 20 16 11 9 8 8 9 10 10 10 12 12 11 9 8 9 9 10 10 9 10 10 10 10 11 12 11 11 13 13 13 13 13 12 12 13 13 13 13 13 12 11 10 10 11 12 13 13 13 14 13 13 13 12 12 12 13 13 14 14 15 15 14 13 11 11 12 13 14 15 15 14 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 14 14 14 13 12 13 14 13 13 13 13 14 13 13 13 14 13 12 12 12 12 12 13 14 12 8 2 -2 4 26 38 29 21 16 13 13 12 11 11 12 13 13 14 14 14 14 14 14 15 15 11 6 6 17 29 28 22 23 20 17 16 16 16 14 12 13 13 13 13 14 14 15 15 14 14 15 15 15 15 15 15 15 15 16 15 14 13 11 11 10 11 13 15 17 18 17 16 16 17 17 17 16 16 15 15 15 15 15 14 13 13 13 13 12 12 12 12 12 12 11 11 12 13 12 13 14 14 14 15 17 17 17 18 18 18 17 16 13 11 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 10 10 9 10 10 12 12 12 12 11 11 12 13 13 13 14 14 14 13 12 12 12 14 16 15 12 10 10 12 12 12 12 13 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 16 17 18 16 13 11 11 11 12 13 13 14 13 12 12 11 10 10 9 10 10 10 11 11 11 11 11 12 13 14 14 14 15 15 14 13 13 13 13 14 15 15 15 15 14 16 15 14 12 12 13 13 14 14 14 15 16 17 18 18 17 15 13 12 13 13 14 13 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 5 5 5 5 6 6 7 7 8 8 7 6 7 9 11 13 15 17 17 17 16 15 13 14 16 17 19 20 21 22 23 22 22 23 24 23 30 30 26 22 21 21 21 21 21 20 20 21 21 20 18 17 14 12 11 11 12 12 12 12 12 13 13 12 12 12 12 13 13 10 8 6 6 6 6 7 7 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 19 21 19 14 7 0 0 1 0 0 1 3 7 15 22 29 33 30 21 12 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 10 20 28 34 31 22 11 9 19 29 27 15 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 1 9 28 50 65 78 96 104 104 100 94 89 88 83 79 98 113 102 88 100 126 134 131 118 96 75 62 59 54 41 41 49 60 63 63 76 89 94 99 109 127 144 141 135 145 157 164 166 167 170 154 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 5 5 5 5 5 6 7 8 9 7 5 5 7 8 10 12 14 15 16 16 15 15 14 14 14 14 15 16 17 18 19 23 27 27 25 27 25 23 21 20 21 22 22 22 21 20 20 19 18 18 16 14 12 12 12 12 12 12 13 14 13 12 11 11 12 11 10 8 6 6 6 6 6 6 5 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 16 17 16 11 4 0 0 0 0 0 0 0 2 8 14 20 23 21 14 7 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 5 8 10 8 3 0 0 0 0 0 0 0 3 10 17 22 27 31 31 25 17 14 21 27 22 12 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 13 38 47 74 102 110 109 105 98 94 93 92 97 102 105 115 128 137 140 138 129 112 92 78 68 59 49 53 62 68 66 68 75 86 96 105 120 142 150 139 138 150 160 168 174 172 162 147 141 nan nan nan nan nan nan nan nan nan nan nan 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 5 5 5 4 4 5 6 7 9 9 7 6 6 7 9 10 12 15 17 16 17 19 19 17 16 16 15 14 14 15 16 20 23 24 23 21 19 18 19 19 20 22 23 24 23 21 19 18 18 18 19 17 13 12 12 12 11 12 12 11 10 10 9 9 8 7 7 6 6 6 5 6 6 6 2 0 0 0 0 0 0 1 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 12 11 7 1 0 0 0 0 0 0 0 1 3 7 12 15 14 10 6 3 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 3 2 2 0 0 0 0 0 0 0 7 12 15 15 12 4 0 0 0 0 0 0 0 3 10 17 22 25 28 28 26 21 20 23 22 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 25 36 55 91 116 124 118 106 98 95 97 100 101 106 118 128 132 134 135 132 124 115 110 100 88 85 92 93 94 91 92 96 103 114 125 144 157 155 148 151 158 160 166 175 177 169 156 151 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 7 6 5 5 5 4 4 4 5 6 8 10 10 10 9 9 10 10 11 15 18 17 17 22 26 25 23 22 21 18 17 17 16 16 18 20 19 17 16 16 17 19 22 23 22 23 23 20 18 16 14 14 15 15 13 11 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 5 6 6 3 1 0 0 0 0 0 0 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 7 5 2 0 0 0 0 0 0 0 0 0 1 4 8 10 11 9 6 5 6 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 5 6 6 5 2 0 0 0 0 0 0 6 13 15 15 10 3 0 0 0 0 0 0 0 2 7 14 20 24 26 28 26 24 22 22 19 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 25 49 63 74 91 115 135 139 122 104 98 103 106 105 108 115 121 124 129 133 132 124 117 113 113 116 125 129 126 121 116 116 119 131 153 174 182 177 165 159 163 166 157 157 170 177 174 167 160 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 7 6 6 5 5 4 4 4 5 6 6 8 11 12 11 11 11 10 10 13 16 17 18 21 26 28 25 25 24 22 20 19 18 15 13 13 14 14 15 17 19 20 23 23 21 20 19 16 13 11 8 7 7 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 3 1 0 0 0 0 1 1 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 2 1 0 0 0 0 0 0 0 0 0 0 2 6 8 8 7 6 7 9 11 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 5 6 6 5 2 0 0 0 0 1 4 12 15 12 7 2 0 0 0 0 0 0 0 0 0 3 9 16 21 24 27 29 28 26 25 20 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 1 0 0 0 0 6 21 23 8 1 10 47 76 89 92 90 97 127 155 147 122 107 107 111 109 107 112 114 115 121 127 128 120 110 107 111 123 134 142 146 149 148 142 144 162 191 212 213 197 179 172 172 164 145 140 158 169 165 159 154 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 7 6 6 5 5 4 4 4 4 5 6 7 9 11 11 12 12 11 10 11 14 16 17 20 24 25 24 24 23 22 21 20 19 17 13 10 9 11 13 15 17 18 20 20 17 14 12 10 8 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 7 9 12 15 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 4 5 5 4 2 0 0 0 0 4 12 18 15 8 4 3 2 1 0 0 0 0 0 0 0 2 6 11 16 20 24 29 33 35 32 22 14 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 11 25 20 4 2 5 2 8 24 65 68 49 29 36 72 95 101 99 88 86 109 144 159 147 126 114 114 115 114 115 114 111 114 121 124 121 112 107 110 117 125 134 144 154 163 162 163 182 208 220 218 207 192 182 179 163 136 124 140 150 142 139 142 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 7 6 5 5 5 4 4 3 4 4 4 4 6 8 10 12 15 15 13 11 12 13 15 17 20 22 23 22 21 20 19 18 18 17 14 10 7 8 10 12 14 15 14 14 12 9 7 6 5 5 5 4 3 3 4 5 5 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 4 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 1 1 1 1 2 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 11 17 20 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 6 6 5 5 5 4 2 1 0 0 7 17 16 8 4 4 4 5 3 0 0 0 0 0 0 0 2 7 11 14 16 20 26 31 36 35 25 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 2 1 1 2 3 0 0 0 0 0 0 0 3 10 17 19 22 48 52 31 20 50 50 49 47 60 98 97 98 94 104 119 113 115 113 97 87 95 122 149 156 145 128 120 119 120 119 116 111 108 112 118 121 119 114 108 108 111 116 126 141 153 162 173 194 212 216 215 210 199 184 174 157 135 123 128 130 126 129 139 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 6 6 6 6 6 5 4 3 3 4 4 4 5 6 7 10 15 18 18 15 8 8 10 13 17 20 20 18 17 15 13 13 14 15 13 10 8 8 8 9 11 12 10 9 8 6 4 4 4 4 3 1 1 0 1 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 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 1 2 2 2 3 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 12 17 24 22 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 9 9 8 8 7 7 7 6 3 0 2 11 21 13 4 4 5 5 7 6 1 0 0 0 0 0 0 2 6 10 12 12 15 19 23 29 30 26 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 4 3 7 8 5 2 0 0 0 2 7 16 23 28 32 39 49 38 34 39 79 80 80 81 102 106 105 115 128 138 137 130 130 130 116 98 90 102 126 143 144 137 129 125 125 124 122 117 110 107 111 116 119 121 117 112 110 106 110 129 145 158 174 195 205 208 215 215 205 186 158 140 138 134 130 127 127 135 147 149 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 4 6 6 7 7 6 5 4 4 4 4 5 5 5 5 7 11 16 19 19 13 13 11 10 12 14 15 14 13 12 12 12 12 12 12 11 9 8 8 8 8 9 8 6 5 4 2 2 2 1 0 0 0 0 0 0 1 2 3 3 3 2 2 2 3 3 4 3 3 3 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 1 2 3 3 2 3 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 18 25 29 22 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 2 6 9 11 11 10 11 13 13 12 13 10 4 3 12 24 24 10 3 5 6 6 8 8 3 0 0 0 0 0 0 0 3 7 9 8 9 11 15 20 24 25 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 3 11 12 11 8 4 4 3 9 18 27 33 40 37 44 54 54 52 59 72 73 75 87 95 100 102 111 131 152 161 155 149 147 139 121 103 99 110 126 135 134 132 130 130 132 130 125 117 112 112 115 118 122 124 125 120 112 111 125 142 157 172 185 186 189 200 207 207 197 160 135 146 149 142 137 142 153 161 156 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 5 5 6 6 7 7 5 4 4 4 5 5 5 5 5 8 12 16 18 19 19 16 13 12 12 14 12 11 10 9 9 10 11 11 11 9 9 9 8 8 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 2 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 23 29 30 19 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 13 13 12 15 20 21 21 20 14 6 11 25 35 26 10 4 6 7 7 8 10 6 0 0 0 0 0 0 0 0 2 4 4 4 4 6 9 13 16 16 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 16 17 13 9 8 9 10 22 33 42 53 53 49 56 64 68 73 79 82 78 82 97 103 102 99 104 123 154 171 169 163 161 160 149 129 117 115 125 135 134 131 129 133 138 134 130 123 118 117 118 119 118 119 122 124 122 120 128 144 160 175 184 180 179 188 195 199 200 185 166 162 161 155 152 160 173 174 166 155 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 8 8 6 5 4 4 6 7 7 7 6 5 4 4 6 7 7 7 9 11 14 17 20 20 20 17 14 13 13 12 11 9 8 9 9 9 8 8 8 9 9 8 7 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 24 29 25 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 13 13 14 19 24 26 27 25 19 15 23 36 39 28 14 8 10 10 8 10 11 8 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 3 4 8 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 3 10 7 7 12 24 27 22 12 9 11 16 38 56 73 82 75 69 74 78 80 87 96 100 94 93 100 103 100 98 100 115 142 165 169 165 165 168 166 157 149 140 138 142 141 138 132 136 141 141 137 129 121 118 120 122 119 115 115 120 125 127 133 146 165 184 194 191 188 187 186 187 190 184 168 152 149 144 144 156 169 169 166 164 nan nan nan nan nan nan nan 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 10 11 10 7 4 4 4 6 8 7 6 6 5 5 7 10 10 10 11 11 12 14 17 20 21 20 18 16 14 12 11 9 8 8 9 10 10 9 9 9 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 20 23 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 12 13 15 22 25 28 31 31 27 27 32 36 30 21 15 19 20 14 11 12 12 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 11 10 17 32 39 40 35 28 32 42 55 76 102 112 98 87 90 92 92 97 107 110 106 105 101 98 96 95 94 103 126 152 164 161 159 165 173 168 164 158 150 147 144 139 137 139 141 144 138 132 127 121 121 123 123 118 112 114 121 130 138 146 158 180 195 190 186 182 175 175 176 176 136 115 119 116 115 124 135 140 146 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 11 13 12 11 8 6 5 5 6 6 6 5 5 5 7 11 13 14 13 13 12 13 14 17 19 20 20 18 16 13 12 11 10 10 10 10 10 10 10 9 8 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 13 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 11 14 21 25 27 33 37 35 34 31 22 10 8 10 13 11 12 11 12 12 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 10 9 20 34 48 57 56 52 55 58 64 86 115 126 114 101 103 104 100 102 107 108 103 98 92 89 89 89 87 91 106 136 160 162 157 158 166 163 160 156 151 147 139 132 130 131 132 134 133 129 126 126 126 126 122 117 112 110 117 128 138 142 146 167 182 173 173 169 161 157 158 168 151 123 108 100 96 95 99 105 112 124 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 11 14 14 14 14 13 11 8 7 7 8 7 6 4 4 6 10 13 14 14 14 14 14 14 15 17 19 20 20 18 15 13 12 13 13 12 12 12 12 11 10 8 7 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 8 9 10 17 23 25 30 34 34 30 19 11 6 6 6 6 7 7 7 7 6 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 3 7 10 20 32 49 64 67 64 65 67 72 90 115 128 125 112 106 104 102 100 100 98 93 85 78 76 78 81 81 82 90 112 139 156 159 156 154 150 147 146 146 145 142 134 126 122 119 120 123 125 126 126 132 133 124 118 114 110 115 123 134 137 137 153 162 159 162 159 150 145 154 170 162 136 115 103 93 80 71 69 73 83 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 10 14 15 15 15 14 14 12 11 11 10 9 7 7 6 6 8 10 12 14 14 15 15 15 15 16 17 19 20 20 19 16 14 14 14 14 14 14 13 13 12 10 8 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 8 7 7 7 11 20 23 25 26 24 17 9 7 7 5 3 2 0 1 2 2 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 18 30 44 62 70 62 58 63 74 89 108 125 126 110 105 102 94 89 84 82 75 65 60 58 62 66 71 73 76 89 112 136 152 154 145 137 136 137 139 140 140 135 127 120 115 113 114 119 123 127 135 138 130 124 118 115 115 120 128 133 134 143 150 150 156 158 152 152 164 168 155 136 122 111 96 73 54 47 48 55 70 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 6 10 12 13 13 13 12 13 12 12 12 11 9 8 8 8 8 8 9 11 13 14 14 14 14 15 16 17 18 19 20 19 17 16 15 14 14 14 14 13 13 12 11 8 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 2 6 6 6 6 6 6 10 18 23 24 22 17 9 7 8 9 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 1 3 4 3 1 0 0 2 7 17 28 42 62 67 46 34 46 71 92 104 121 120 98 92 90 82 76 69 64 57 49 44 42 45 50 57 61 64 71 86 108 130 143 142 131 128 130 133 134 135 132 127 121 117 111 106 107 116 127 133 136 134 127 122 118 116 116 122 130 134 140 144 145 150 155 155 161 171 168 150 140 132 122 101 71 51 46 48 56 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 1 4 6 7 7 6 8 10 11 12 12 11 10 8 8 8 8 8 7 8 9 11 12 13 14 15 16 16 16 17 18 18 18 18 18 17 17 16 16 14 13 13 12 11 9 7 6 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 0 0 0 0 1 2 0 0 3 4 5 6 7 7 10 17 22 25 24 20 14 9 8 9 10 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 5 12 14 10 4 0 0 1 4 13 25 36 55 60 34 20 27 58 96 108 118 104 83 80 79 74 67 59 52 44 38 34 32 33 37 44 48 52 57 65 79 98 118 133 134 128 127 129 129 131 127 126 124 118 109 98 94 104 120 126 131 135 130 122 117 114 114 118 125 132 136 140 141 143 150 158 164 173 177 167 154 143 128 107 82 63 56 56 63 84 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 1 2 1 1 2 4 6 9 10 10 10 9 9 9 9 8 6 5 5 7 9 10 12 14 15 16 15 15 15 15 16 16 17 17 18 18 17 16 14 13 12 11 10 8 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 0 0 2 2 3 3 2 1 0 0 3 5 7 7 7 9 12 17 22 24 23 20 12 9 9 9 9 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 0 2 9 18 19 14 4 0 0 0 1 6 20 29 49 65 41 20 19 39 81 107 114 94 78 75 75 71 63 55 46 37 29 24 23 26 30 35 39 40 41 44 52 66 86 107 128 132 129 129 127 130 127 126 123 116 103 90 86 96 108 117 123 128 129 125 119 114 114 116 122 130 134 138 140 144 152 163 171 175 180 181 175 158 136 116 99 84 71 64 67 85 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 8 8 9 9 9 7 5 3 3 4 5 7 9 11 13 13 13 12 12 11 10 11 12 13 15 16 16 15 14 12 11 10 9 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 0 0 1 3 3 1 1 0 0 0 0 2 4 6 6 7 7 8 11 14 17 16 14 12 10 9 8 8 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 0 0 1 6 16 19 18 10 4 0 0 1 5 14 20 43 72 64 33 14 19 52 84 102 98 84 77 74 68 61 54 44 34 25 20 19 22 27 33 33 30 28 27 30 38 53 71 94 117 126 133 134 132 127 124 120 113 102 92 88 92 102 110 115 120 129 134 128 120 118 118 123 134 139 140 143 151 162 170 176 179 181 185 186 174 150 131 122 114 100 89 91 105 115 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 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 7 8 10 10 10 8 5 2 0 1 3 4 6 8 10 11 11 10 8 6 5 6 6 9 12 14 16 15 14 12 10 8 7 5 3 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 1 2 2 2 1 0 0 0 2 4 5 4 3 2 2 0 1 1 2 4 5 6 6 7 7 8 9 9 8 9 9 8 8 7 8 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 0 1 6 16 20 23 21 10 4 1 7 18 15 10 28 64 83 57 22 9 21 46 77 103 109 98 86 72 58 52 44 35 27 21 19 19 22 28 27 23 17 13 14 18 25 38 56 78 104 128 141 140 131 125 121 116 108 99 93 93 99 107 111 115 125 136 137 129 126 122 124 136 144 146 147 152 162 172 179 182 182 184 188 186 170 154 146 144 139 130 129 132 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 9 10 11 10 8 4 1 0 1 2 3 5 7 9 9 9 7 5 4 4 3 4 6 9 13 14 14 13 10 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 4 6 8 8 7 6 6 5 4 2 2 4 4 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 20 29 28 23 12 6 6 19 32 22 7 12 40 84 87 50 18 6 14 42 88 120 117 108 90 60 51 45 38 31 26 21 16 16 18 17 14 9 3 3 5 5 11 23 41 67 100 130 143 139 131 125 120 114 108 100 93 93 101 108 111 118 132 139 136 134 131 129 136 145 149 150 149 153 164 172 178 180 179 182 187 182 172 162 159 161 160 157 154 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 8 5 4 2 1 0 0 0 0 0 0 0 0 0 0 2 4 6 9 10 11 10 8 4 0 0 0 1 2 5 6 7 6 5 4 4 4 4 3 3 5 8 10 12 11 9 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 1 3 4 6 8 10 9 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 5 5 7 8 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 25 34 26 17 12 6 11 24 34 31 15 7 19 54 86 81 50 22 7 14 52 102 117 123 114 77 55 47 41 36 32 27 19 11 7 3 3 3 1 0 0 0 2 7 16 34 61 97 126 139 133 125 119 115 111 104 90 85 91 103 107 111 126 140 142 140 136 132 133 139 146 151 149 150 154 162 170 174 171 170 178 173 166 164 164 165 167 167 163 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 13 14 14 13 10 7 4 1 1 0 0 0 0 0 0 0 0 0 1 3 5 7 9 10 9 7 4 1 0 0 1 2 4 4 4 3 3 3 4 4 4 3 4 6 7 8 8 8 7 6 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 3 7 9 10 10 10 9 8 7 7 8 7 7 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 4 5 5 5 5 6 7 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 2 6 8 10 14 23 30 26 19 12 7 17 30 37 38 27 11 8 26 55 81 84 63 32 13 26 73 107 115 121 103 75 57 50 46 43 37 25 9 1 0 0 0 0 0 0 0 0 1 4 12 29 59 98 128 129 120 113 109 107 104 90 81 84 96 103 106 118 134 143 142 137 130 124 127 140 151 149 140 144 152 161 162 158 153 156 152 148 152 159 163 166 165 160 154 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 10 13 14 15 14 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 1 2 5 8 9 9 6 3 1 0 0 1 2 3 3 3 2 2 3 4 4 3 4 7 8 8 8 7 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 1 5 10 13 12 10 9 8 7 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 10 7 9 17 24 28 28 28 30 35 40 41 39 31 13 3 13 27 53 84 94 71 35 8 50 98 103 113 116 102 76 64 60 57 51 35 13 1 0 0 0 0 0 0 0 0 0 0 2 11 31 67 102 115 112 105 100 98 94 85 78 80 89 99 103 110 126 139 144 141 135 123 120 131 141 137 128 131 143 152 149 141 136 134 135 135 137 143 150 156 157 154 149 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 10 11 12 12 13 13 12 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 8 4 2 0 0 1 1 2 2 2 2 2 3 3 3 3 5 8 10 11 10 9 8 7 7 7 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 2 6 10 13 12 10 9 8 7 6 6 7 8 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 8 8 8 8 7 6 6 6 6 6 5 6 6 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 5 12 15 10 3 4 11 18 24 31 36 42 45 45 43 38 28 10 2 8 15 27 50 84 84 58 31 47 90 106 110 112 103 81 67 64 62 57 41 17 2 0 0 0 0 0 0 0 0 0 0 0 4 16 41 74 95 97 91 87 87 86 79 72 72 81 93 103 109 120 131 144 153 153 140 127 124 122 117 111 114 126 140 142 134 127 124 125 126 126 127 131 138 144 148 148 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 11 12 12 11 11 11 12 12 10 8 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 5 7 5 2 1 0 1 1 2 2 4 5 4 4 3 3 4 5 8 10 13 13 12 10 9 8 8 8 8 7 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 9 10 9 8 8 8 7 6 6 8 8 7 5 6 7 8 8 8 8 7 6 6 6 6 6 6 6 7 7 9 10 9 8 6 6 5 5 5 4 4 4 5 5 4 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 6 2 0 0 0 2 11 16 13 6 5 9 13 17 22 27 28 30 31 32 30 21 8 0 0 6 17 30 51 65 60 50 56 84 108 110 100 81 56 42 40 44 46 38 17 0 0 0 0 0 0 0 0 0 0 0 0 1 7 23 53 76 80 72 69 74 80 81 74 69 73 86 102 113 119 128 143 161 166 152 131 118 114 109 100 95 105 125 138 139 132 124 121 121 119 117 115 120 129 136 142 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 12 12 11 10 10 10 12 12 11 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 2 5 6 3 1 2 2 2 2 3 5 6 7 6 5 5 5 5 6 8 10 12 13 12 11 10 9 9 9 9 9 9 8 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 7 7 7 7 8 7 7 7 8 8 6 5 6 7 8 7 6 5 5 5 5 6 6 6 6 6 6 7 8 9 8 7 6 5 4 3 3 3 3 4 4 4 4 3 3 3 3 4 4 2 0 0 0 0 0 0 1 2 0 0 0 4 13 14 7 1 0 0 0 4 10 13 13 12 12 12 14 16 17 13 9 8 14 17 17 11 1 0 1 12 22 33 43 48 54 63 76 94 98 88 72 47 23 18 22 30 31 19 2 0 0 0 0 0 0 0 0 0 0 0 0 3 13 35 58 64 56 53 60 69 79 82 72 68 79 100 118 124 131 142 158 162 144 121 110 112 114 107 94 94 108 126 134 139 129 117 112 109 103 99 103 113 123 131 137 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 9 11 12 11 10 9 8 9 10 9 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 2 5 7 5 2 2 2 2 2 2 4 5 6 7 6 6 6 6 5 6 7 10 12 12 12 11 10 9 9 9 10 10 10 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 7 7 6 7 8 8 8 8 8 6 5 6 7 6 4 2 2 2 1 1 3 4 6 4 3 4 4 5 6 6 6 5 4 4 4 3 3 4 4 5 5 4 4 4 4 4 5 6 6 3 1 0 0 0 1 4 9 11 2 0 3 15 19 12 4 0 0 0 0 2 8 14 15 14 14 14 16 18 18 12 5 3 7 13 16 12 5 1 8 20 28 31 33 41 55 64 67 70 72 72 69 59 46 38 37 35 28 14 7 1 0 0 0 0 0 0 0 0 0 0 1 6 20 44 55 50 45 56 61 76 87 80 70 76 100 124 134 135 137 148 151 132 111 106 117 125 116 89 85 92 111 126 132 131 120 109 102 94 88 90 100 111 118 125 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 5 8 10 9 6 5 4 4 5 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 1 5 8 7 4 1 1 2 3 3 4 5 5 5 6 6 6 6 6 5 4 6 8 10 12 13 13 12 11 10 10 11 11 9 7 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 7 7 8 9 9 8 8 7 6 6 6 6 5 2 1 1 1 1 1 1 1 0 0 0 1 1 2 2 4 5 6 5 5 5 5 6 6 6 6 6 7 8 9 12 15 18 21 21 17 9 4 1 0 1 4 10 15 8 2 5 15 21 18 9 1 0 0 0 0 4 11 15 16 15 14 15 19 24 24 18 9 3 5 15 23 14 3 4 15 26 28 25 30 44 58 55 48 48 59 74 92 94 87 79 62 51 47 33 13 3 0 0 0 0 0 0 0 0 0 0 1 7 32 49 52 49 58 65 78 89 86 75 75 99 130 141 133 130 139 144 122 106 110 124 135 125 94 86 93 111 126 135 138 131 118 108 98 89 89 99 108 110 115 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 1 2 3 3 1 0 0 0 1 4 5 5 4 2 0 0 0 0 0 0 0 0 0 1 0 0 3 8 9 6 2 0 1 2 4 5 5 4 4 4 4 5 5 6 6 4 4 4 4 6 8 11 12 12 10 9 10 10 8 6 5 3 2 2 1 0 0 0 0 0 0 1 1 1 1 2 3 4 4 4 3 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 7 8 9 8 8 7 7 6 6 7 7 5 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 5 5 5 5 6 8 10 15 20 24 28 32 35 34 28 18 8 2 1 1 5 11 10 6 9 16 23 26 20 8 1 0 0 0 1 4 9 12 13 14 15 17 19 23 29 20 8 3 10 25 22 5 1 7 17 21 18 27 47 61 59 49 38 39 43 54 79 96 103 90 76 71 61 40 17 5 1 0 0 0 0 0 0 0 0 0 4 21 43 55 58 61 71 87 99 96 81 73 96 134 139 124 123 138 137 113 106 114 128 137 134 116 100 106 121 134 143 148 142 126 112 106 100 101 108 112 112 116 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 0 0 0 0 0 0 0 0 0 2 3 2 0 1 5 9 7 4 1 0 2 3 5 5 4 4 4 4 4 4 6 7 6 5 4 2 0 0 2 6 8 7 6 6 6 6 6 4 3 2 1 1 0 0 0 0 0 1 2 3 3 3 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 7 7 8 8 8 7 6 6 6 7 7 8 6 2 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 2 1 2 4 7 10 14 18 20 23 26 30 32 33 31 23 14 6 1 1 6 10 11 13 17 25 38 38 18 4 2 0 0 0 0 1 4 6 9 12 15 17 20 25 23 15 10 14 26 28 12 2 2 6 7 5 15 34 51 58 59 54 44 32 26 32 49 67 74 73 70 62 50 33 16 4 0 0 0 0 0 0 0 0 0 2 15 39 59 65 66 77 100 115 111 89 77 98 133 134 117 121 134 124 107 108 116 127 138 140 127 115 116 122 133 146 152 148 130 107 100 99 104 111 117 120 125 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 0 0 2 7 9 6 3 2 1 2 2 2 3 4 4 4 4 4 5 7 9 10 11 8 4 1 0 1 3 4 2 1 2 3 3 3 1 1 0 0 0 0 0 1 1 2 3 4 4 4 4 4 4 4 4 4 4 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 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 1 1 0 0 0 0 0 0 0 1 5 7 7 6 6 6 7 7 6 5 4 5 6 6 8 8 5 2 0 0 1 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 10 12 13 15 18 22 25 27 29 31 28 20 10 3 3 7 10 13 17 28 50 52 26 5 3 0 0 0 0 0 0 1 2 4 10 15 18 20 20 17 15 20 32 37 20 8 7 10 3 0 5 17 28 37 45 50 47 35 26 21 23 30 38 46 50 42 33 26 21 7 0 0 0 0 0 0 0 0 0 0 12 37 60 70 74 89 114 133 128 100 84 107 140 138 123 126 126 108 99 110 123 132 140 142 136 126 120 118 123 136 147 152 140 108 94 96 103 112 121 128 130 128 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 4 1 0 1 3 7 7 5 3 1 0 0 1 1 2 3 4 4 4 4 6 10 15 19 19 13 5 1 0 1 2 2 1 1 1 2 2 2 1 0 0 0 0 0 1 2 2 2 3 4 4 4 4 3 3 3 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 2 6 7 6 6 6 6 7 7 6 4 4 4 5 6 7 9 8 5 3 2 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 7 8 9 9 10 11 12 16 19 21 22 26 31 30 21 8 1 5 10 14 19 33 57 60 30 6 1 0 0 0 0 0 0 0 0 0 0 7 15 17 16 14 15 22 38 36 24 21 20 26 18 6 2 2 10 17 24 30 32 28 22 15 11 14 19 26 32 28 18 9 13 8 3 1 0 0 0 0 0 0 0 1 9 32 62 76 85 103 128 150 148 115 101 122 139 143 130 124 116 108 111 125 138 145 150 149 142 132 123 122 123 125 136 150 146 129 115 112 116 124 131 130 129 128 127 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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