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 11 10 9 8 7 6 6 6 6 7 7 7 6 5 5 5 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 2 2 2 1 1 2 2 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 3 4 3 3 3 3 2 3 3 3 4 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 8 8 9 9 8 7 8 8 7 6 6 6 5 5 4 3 3 4 6 6 6 7 8 7 7 6 5 6 5 5 3 2 3 7 10 10 10 7 4 1 5 10 6 2 1 2 3 6 6 4 6 7 8 10 9 5 2 1 1 2 2 1 1 4 4 3 5 7 8 5 0 1 4 5 2 -1 -1 -1 -1 3 8 7 3 2 3 4 3 2 3 5 2 0 2 4 4 2 -1 -0 2 3 13 32 39 26 11 6 4 4 3 3 3 2 2 2 4 5 6 8 10 13 16 20 21 17 12 7 4 1 1 2 3 4 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 2 2 4 5 5 5 5 6 7 6 5 5 5 5 5 5 5 4 3 3 3 4 5 6 6 5 5 7 10 11 10 7 5 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 8 15 19 14 10 10 11 12 7 2 -2 -6 -7 -1 2 2 7 8 4 3 3 1 -1 -3 -6 -7 -9 -10 -9 -4 2 6 6 5 5 7 9 11 13 15 13 10 10 10 10 9 8 8 9 10 9 7 9 9 10 10 9 9 7 6 6 6 6 5 4 3 2 2 3 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 9 11 11 10 9 8 7 6 6 7 8 8 7 6 6 6 5 5 5 5 5 5 6 5 5 4 4 3 3 3 3 2 2 2 2 2 2 3 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 3 3 4 4 4 4 4 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 3 3 3 3 3 4 3 3 3 4 4 4 4 4 3 4 3 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 6 7 8 9 9 9 8 8 8 8 7 6 6 6 6 5 5 4 3 4 5 6 6 6 7 8 7 6 6 5 5 4 2 2 3 9 13 13 10 3 2 1 6 6 4 1 1 1 0 2 3 4 4 5 8 8 8 8 7 4 2 1 2 2 2 4 4 3 3 7 9 9 7 3 1 2 4 2 -3 -4 -1 1 4 5 0 -2 0 3 2 0 2 5 4 2 3 4 6 7 6 7 9 14 24 35 31 16 7 5 4 3 3 3 3 2 2 3 4 5 6 9 10 11 14 19 21 18 12 7 3 2 2 2 3 3 2 2 3 3 3 3 4 4 4 3 3 3 4 3 3 2 2 2 4 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 5 4 4 4 4 1 -1 1 3 4 5 5 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 4 5 5 6 5 5 6 9 11 11 8 6 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 4 4 7 13 16 13 11 11 12 11 9 8 4 2 3 4 4 6 8 7 7 7 3 0 1 0 -2 -5 -6 -7 -6 -0 5 6 5 5 5 5 7 9 10 9 6 7 8 8 8 8 7 8 8 7 6 6 7 7 9 10 10 9 8 7 6 6 6 4 3 1 1 2 3 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 nan nan nan nan nan 5 6 8 9 10 10 10 8 7 6 6 7 8 8 8 8 8 6 6 5 5 5 5 5 5 5 5 4 3 3 3 3 3 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 7 7 7 7 7 7 8 8 8 8 8 9 8 7 6 6 6 6 6 5 4 3 4 5 6 6 6 7 8 8 7 6 5 4 3 2 2 5 11 14 11 5 0 -1 -0 4 5 3 2 4 4 -1 -3 1 5 3 2 3 1 2 5 5 3 2 2 2 2 4 6 5 4 4 9 11 11 9 5 1 -2 -1 2 1 1 3 2 2 4 3 -1 -2 -1 -1 -0 3 5 3 3 3 4 8 12 14 15 18 25 32 31 19 9 6 4 4 3 3 2 2 3 3 3 4 5 7 8 9 10 12 17 20 18 12 8 4 3 2 3 3 2 2 2 3 4 4 4 4 4 4 3 3 2 3 3 2 3 5 4 5 5 5 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 2 -2 -3 1 3 2 3 5 6 4 3 4 6 6 5 4 4 4 4 3 3 2 3 5 5 5 6 6 7 8 9 9 8 7 6 5 4 4 3 4 4 4 5 4 4 5 6 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 1 2 2 2 3 3 3 3 6 9 10 11 10 8 8 8 8 6 5 5 7 7 6 5 4 7 8 6 3 3 5 3 1 2 -0 -1 2 6 6 6 5 5 5 5 6 6 5 4 4 5 6 6 6 6 6 6 5 5 5 5 5 6 8 9 9 9 8 7 6 6 5 3 1 0 1 3 4 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 6 7 8 8 9 9 8 7 6 6 6 7 8 9 9 8 7 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 3 3 4 3 3 2 2 2 2 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 6 5 4 4 5 6 6 6 7 7 8 7 6 6 4 3 2 1 1 5 13 12 3 1 2 2 5 8 4 3 8 10 4 -2 -0 4 2 0 -2 -4 -2 0 1 1 2 3 4 4 6 8 8 7 8 11 13 11 8 6 2 -4 -6 -2 3 6 7 6 3 5 6 4 2 -1 -1 2 5 5 3 4 5 8 12 17 20 23 27 32 31 22 11 6 5 5 3 3 3 3 3 3 3 4 4 5 7 8 9 8 10 14 19 19 14 9 5 4 3 3 2 2 2 3 3 4 4 4 4 4 4 3 2 3 3 3 2 3 5 5 4 4 5 5 5 5 5 6 4 4 5 5 6 6 6 5 5 6 6 5 5 4 3 0 -3 -1 2 2 2 4 5 3 3 5 7 6 5 4 3 4 4 4 3 2 3 4 5 6 6 6 7 7 7 6 7 7 7 6 6 5 4 3 4 4 3 4 4 4 5 5 6 6 6 6 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 2 1 1 0 0 0 0 0 1 2 2 2 3 4 8 9 6 5 5 5 5 4 5 8 11 8 4 3 4 6 7 8 7 6 3 2 4 4 2 3 6 6 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 5 5 5 5 5 5 4 5 6 7 8 9 9 9 7 5 5 3 3 2 2 3 5 9 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 6 6 6 7 7 8 9 8 8 7 6 6 6 8 9 9 8 7 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 6 7 7 7 7 7 7 7 6 7 8 9 10 9 8 7 6 6 6 7 7 6 5 4 5 6 7 7 7 7 7 7 7 6 4 3 3 -0 -5 -4 6 11 7 8 8 5 7 11 6 4 5 6 6 2 1 3 2 1 1 1 -1 -1 -1 1 2 4 5 5 8 11 10 10 10 11 13 11 8 6 4 -1 -5 -3 1 5 9 9 7 8 10 8 5 3 5 7 7 6 6 8 9 12 16 21 24 29 33 31 23 12 6 5 5 4 3 3 3 3 3 3 3 4 5 6 7 8 8 8 8 11 16 18 16 12 7 5 3 3 3 2 3 3 4 4 4 4 4 4 3 3 3 4 4 3 3 4 6 6 4 4 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 7 7 6 5 4 3 3 -0 -2 1 7 9 6 4 3 4 7 7 7 5 4 4 4 4 4 4 3 3 4 5 5 6 6 7 6 6 5 6 6 7 7 7 6 4 3 4 4 4 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 4 5 4 4 4 5 5 4 4 3 1 1 1 -0 -1 -1 -1 -1 0 1 1 1 2 4 6 5 4 4 4 4 3 3 6 11 11 7 6 3 3 9 12 13 11 5 4 3 3 3 3 3 4 4 4 5 5 5 5 7 7 7 7 6 5 4 3 4 4 4 5 5 5 5 5 5 5 6 7 8 9 9 8 6 5 4 2 1 2 8 16 15 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 4 5 6 6 6 6 6 7 8 8 8 7 5 5 6 8 9 8 9 8 8 7 7 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 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 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 6 7 8 7 7 7 7 6 7 8 10 10 9 8 8 7 6 7 7 7 6 5 5 5 6 7 7 7 7 7 7 7 6 4 4 3 2 -1 0 4 5 6 12 9 5 8 9 9 6 3 2 4 3 3 4 4 3 3 4 2 2 2 2 2 4 5 7 9 9 9 9 9 10 12 11 8 6 5 2 -1 -1 3 6 9 12 9 7 9 8 8 8 9 10 9 8 9 11 12 14 18 22 25 28 28 22 12 6 5 5 4 4 4 3 3 3 3 3 3 4 5 6 8 8 8 7 7 9 12 16 16 15 10 6 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 7 6 5 4 4 4 5 4 5 5 5 5 6 6 5 5 6 6 6 7 8 6 5 4 3 4 3 1 0 6 11 8 4 4 5 7 7 6 6 5 4 4 4 5 4 4 4 4 5 5 6 6 7 7 6 5 5 6 6 7 9 8 6 4 3 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 4 3 1 1 2 1 -0 -1 -3 -3 -0 1 1 1 2 4 4 4 4 4 4 4 3 4 7 9 9 9 4 5 9 12 17 15 10 6 2 2 3 3 3 3 2 2 3 4 5 5 7 9 9 9 7 6 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 8 9 9 8 6 4 2 0 1 13 28 25 13 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 4 3 3 4 5 5 5 5 5 5 6 7 8 7 6 6 6 6 7 7 8 9 9 8 7 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 3 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 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 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 7 8 8 8 8 7 7 7 9 10 10 9 9 8 7 7 7 8 8 7 6 5 6 6 7 7 7 7 7 7 7 6 5 4 4 4 5 8 11 5 2 5 5 6 9 8 8 5 4 3 4 4 5 6 5 4 5 5 5 4 4 3 3 4 5 8 9 6 6 5 6 8 12 10 6 5 4 3 3 6 10 12 10 11 8 3 7 8 10 12 11 9 10 11 10 10 11 14 18 21 22 23 19 12 6 4 5 5 4 4 4 4 3 3 3 3 4 4 5 6 7 8 7 6 6 8 10 12 15 15 13 10 8 6 6 6 6 5 5 5 4 4 4 5 5 4 5 5 5 4 5 6 6 6 6 5 4 5 5 5 6 6 6 6 7 7 6 6 6 6 6 7 7 6 5 4 4 4 4 3 0 -1 2 5 4 4 5 5 5 6 6 6 5 4 4 5 4 4 4 4 4 5 5 6 7 8 7 6 6 5 5 6 9 10 8 6 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 6 7 6 5 3 2 3 4 3 1 -1 -1 1 3 3 4 4 4 4 5 4 3 4 5 5 4 3 3 3 4 3 7 8 8 12 15 13 7 3 2 2 3 4 4 3 1 0 2 3 5 7 9 10 10 8 6 3 4 4 4 5 5 6 7 6 7 8 8 9 9 9 9 9 10 9 8 5 3 0 2 15 31 31 16 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 6 3 2 4 4 4 4 4 4 4 4 4 6 7 6 6 5 5 5 5 6 7 9 8 7 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 3 3 3 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 7 8 8 7 7 7 7 8 9 9 9 8 8 8 8 7 7 8 7 6 6 6 7 7 7 8 7 7 7 6 6 5 4 4 4 4 7 10 9 5 4 6 7 7 5 6 6 4 4 5 6 7 6 5 5 6 7 6 5 5 4 4 4 5 7 7 5 4 4 5 8 10 8 5 4 3 2 6 12 13 9 7 10 10 6 5 8 9 11 12 9 10 11 10 9 11 13 16 16 17 16 12 7 4 4 5 5 4 4 4 4 4 3 3 3 4 4 5 6 7 7 7 6 6 7 7 9 11 13 14 13 11 9 8 7 6 5 5 4 4 5 5 5 4 5 5 5 5 5 5 6 6 6 7 7 5 5 6 6 7 7 7 7 7 8 8 8 7 6 7 7 6 6 5 5 4 5 5 4 2 -2 -3 1 2 3 3 3 3 4 6 7 6 5 4 4 5 4 4 4 4 5 5 5 6 8 8 7 6 5 5 6 7 9 9 8 6 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 5 4 4 6 6 4 2 3 4 5 5 6 6 5 4 4 4 4 4 5 6 6 5 1 -2 -2 2 7 6 5 5 8 11 10 7 5 3 3 4 5 4 3 -0 -2 -1 3 6 8 9 9 7 5 3 3 4 4 5 6 7 7 7 8 9 9 10 12 13 12 12 12 11 10 7 4 2 3 12 25 27 14 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 4 3 3 3 3 3 3 4 4 3 3 4 5 5 4 4 4 4 4 4 5 6 7 7 6 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 7 7 6 6 6 7 7 8 8 8 7 7 7 6 5 4 4 4 3 4 5 7 9 11 10 7 4 3 3 5 5 5 6 7 8 5 3 5 7 8 8 6 5 5 5 5 6 6 6 4 3 4 6 10 9 8 7 5 3 0 5 13 12 5 3 3 5 9 5 8 7 9 12 12 12 12 11 9 10 12 13 13 13 11 7 5 5 5 4 4 4 4 4 4 3 3 3 3 4 5 5 6 7 7 7 6 6 6 6 7 8 10 11 12 12 10 9 8 6 5 5 5 5 5 5 4 5 5 5 5 5 5 6 7 7 9 11 13 11 9 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 5 6 6 6 5 5 4 4 1 -4 -2 1 1 2 2 2 3 4 5 5 5 5 5 6 5 4 4 4 5 4 5 5 7 8 7 5 5 4 5 6 7 8 8 7 6 5 4 4 3 2 2 2 3 3 4 4 4 3 4 5 5 5 5 5 5 4 5 5 5 6 7 7 7 7 5 5 6 6 5 5 5 4 5 6 6 5 4 4 4 5 6 5 5 6 7 5 -0 -2 2 5 5 4 4 5 7 10 10 8 5 3 4 5 8 7 3 -0 -2 0 4 7 7 7 6 5 4 3 3 5 6 7 7 6 7 8 9 10 10 12 16 20 21 19 16 13 9 6 4 4 9 14 15 11 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 8 5 3 3 3 3 2 2 2 3 3 2 2 2 3 2 3 3 3 3 3 3 3 5 5 5 5 5 5 4 4 3 3 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 7 8 8 9 8 7 7 7 6 7 6 6 7 7 8 8 8 8 7 7 6 6 5 4 3 3 4 4 4 4 8 13 10 4 4 4 1 1 4 4 5 7 7 4 3 5 7 9 8 7 6 6 7 8 8 7 5 3 4 4 6 10 8 8 8 7 5 3 4 10 9 5 7 2 1 5 3 6 4 6 12 14 14 13 10 7 6 9 10 11 11 7 4 4 4 5 5 4 4 4 4 4 3 3 3 4 4 4 5 6 7 7 7 6 6 6 6 6 7 8 9 9 10 10 8 7 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 9 10 13 16 18 16 14 12 10 9 9 8 8 9 9 9 10 11 11 9 7 6 5 5 5 5 5 5 4 2 -1 -1 0 1 1 1 2 2 3 4 4 4 5 5 6 6 5 5 4 4 4 4 4 5 6 6 4 3 3 3 4 6 7 7 7 8 7 6 5 4 3 2 2 2 3 3 4 4 4 4 5 5 5 5 5 4 3 3 3 3 4 5 6 6 8 8 6 6 6 7 6 5 5 5 5 5 4 5 4 5 5 7 6 4 5 8 9 4 1 3 5 5 4 4 4 5 7 10 8 6 5 4 5 9 9 5 3 3 2 3 5 6 5 5 4 4 4 3 4 6 6 6 6 7 8 9 9 10 12 16 22 26 25 22 19 15 10 7 5 6 8 11 11 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 9 6 4 3 3 3 3 2 1 2 3 2 2 2 1 1 2 2 2 2 2 2 2 3 4 5 5 5 4 4 4 3 3 2 2 3 3 3 2 2 2 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 6 6 6 7 8 8 7 7 6 5 5 6 8 9 9 8 7 6 6 6 6 6 6 6 7 8 9 8 7 7 6 6 6 5 4 3 3 3 3 4 6 10 12 8 4 3 4 4 4 4 5 6 7 6 3 6 8 7 7 7 7 8 8 8 8 8 7 4 4 4 4 6 9 8 7 8 7 7 8 7 5 6 8 10 4 4 5 0 -3 1 7 12 13 13 10 7 5 6 9 9 9 9 5 3 4 5 4 5 4 4 4 4 3 3 3 3 4 4 5 5 6 6 7 7 6 5 5 5 6 6 7 7 8 8 8 7 6 6 5 5 5 5 5 4 5 5 4 3 4 4 4 5 7 8 10 11 13 16 17 17 17 16 14 12 12 11 11 11 10 9 10 11 9 8 6 4 3 4 5 5 6 6 5 5 3 1 1 1 1 2 2 3 4 4 4 4 5 5 6 5 5 5 4 4 3 4 4 5 4 3 2 1 0 1 2 5 6 6 7 7 8 7 6 4 4 2 2 2 3 4 4 4 5 5 5 6 6 5 4 3 2 2 2 3 4 5 5 6 8 7 6 6 7 6 5 5 5 5 5 5 4 4 4 5 6 7 5 5 7 8 5 4 4 5 4 4 4 4 4 6 7 8 7 6 5 5 7 8 6 4 5 4 3 4 4 5 5 4 4 4 4 4 5 6 6 6 7 8 8 9 9 11 14 18 20 20 20 21 21 18 13 6 5 9 10 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 9 7 5 4 3 3 3 3 2 2 3 3 2 2 1 1 1 2 2 2 1 1 2 2 2 3 4 4 4 4 3 3 3 3 3 2 3 2 2 3 3 3 3 2 2 2 2 3 2 2 1 2 3 3 3 3 3 3 3 3 3 4 3 3 4 5 5 5 4 3 4 4 3 3 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 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 5 5 5 6 6 6 7 7 8 8 8 7 6 5 6 6 8 9 9 8 8 6 6 6 6 6 6 6 8 9 9 9 8 6 7 6 6 5 4 3 3 3 3 6 10 14 14 8 5 2 3 5 6 4 4 6 8 8 6 9 10 7 4 5 6 7 9 9 9 8 5 2 2 4 4 5 6 6 7 7 7 6 5 8 6 5 12 9 4 6 9 6 -2 1 9 13 13 10 6 4 6 9 9 9 10 8 4 3 4 5 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 6 6 7 6 5 4 4 5 6 6 7 7 7 7 7 6 6 6 6 6 5 4 4 4 3 3 3 3 3 4 4 5 6 7 7 8 9 10 12 13 14 15 15 14 14 14 14 12 10 8 7 7 7 6 5 4 6 9 10 10 9 8 9 6 4 2 2 2 2 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 2 0 -2 -4 -6 -3 3 6 6 7 8 8 8 7 6 5 3 3 2 2 3 4 5 5 5 5 5 5 5 4 2 2 2 2 3 3 4 5 6 6 5 6 6 6 6 5 5 5 5 5 5 5 4 4 6 7 7 7 6 6 5 5 5 4 4 4 4 3 4 5 6 8 9 7 5 5 5 5 5 5 4 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 6 7 8 8 8 9 10 11 11 14 20 24 25 25 18 9 6 9 9 7 7 8 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 5 7 6 5 5 5 5 4 3 2 2 4 4 2 2 1 2 2 2 2 1 1 1 1 2 2 2 3 3 4 4 3 3 3 2 3 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 3 3 3 4 3 3 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 8 7 7 6 6 7 9 9 8 7 7 7 7 6 6 7 7 8 9 10 9 8 7 8 7 6 5 3 3 3 4 4 7 12 12 11 9 5 -1 2 3 4 4 7 6 5 6 7 8 9 7 5 4 4 6 8 9 9 8 5 0 -0 3 5 4 4 6 8 8 6 4 1 5 7 6 8 5 6 6 10 13 9 6 10 13 12 9 5 3 6 7 8 9 10 7 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 4 5 5 6 7 7 6 4 4 4 5 6 6 7 6 7 7 6 6 7 6 5 5 5 4 3 2 3 2 2 2 3 3 3 3 3 3 3 4 4 5 5 7 10 11 11 11 11 12 12 12 11 10 8 7 8 8 7 8 12 15 14 12 10 9 7 6 5 4 3 3 4 4 4 4 4 3 3 3 2 3 2 2 5 5 5 4 4 4 5 6 5 4 1 -3 -6 -7 -4 3 7 7 7 8 9 8 7 7 6 5 3 2 2 3 3 3 4 4 4 4 4 4 2 0 1 2 2 3 3 3 4 5 5 6 5 5 5 5 6 5 6 4 4 5 6 5 5 6 7 7 6 5 5 5 5 4 3 3 3 4 4 4 6 8 10 10 7 6 5 4 4 5 4 3 2 3 4 4 4 4 4 3 3 4 5 5 5 5 6 8 8 8 8 9 8 6 6 13 25 36 37 31 19 9 6 8 7 6 8 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 4 5 4 4 5 6 6 5 3 2 3 5 5 4 2 2 2 3 2 2 2 1 2 2 2 2 2 1 2 3 3 4 3 2 3 2 3 3 3 3 3 3 3 2 2 2 2 2 3 3 2 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 9 9 9 8 8 7 7 8 9 8 7 7 7 7 7 7 7 8 9 10 10 9 8 8 8 7 6 5 3 3 3 4 6 7 8 6 4 8 5 -1 4 2 3 6 10 10 3 3 6 7 7 7 6 5 5 5 8 10 10 8 5 2 1 3 4 4 4 7 9 8 6 2 -1 3 5 5 4 4 6 6 10 13 11 8 10 12 11 8 4 4 5 6 8 10 9 5 3 3 3 3 4 3 3 4 3 4 3 3 3 4 4 4 4 5 4 5 6 7 7 6 5 4 4 4 5 6 6 7 7 7 6 6 6 5 5 4 4 3 2 2 2 2 3 2 2 3 2 2 1 1 1 1 1 2 3 4 5 6 6 6 7 8 9 11 12 12 11 9 8 7 7 8 9 11 12 11 10 8 7 7 6 5 4 4 4 4 5 5 6 5 4 2 0 -0 -1 -2 -1 3 5 5 4 4 5 6 7 9 8 5 3 1 -1 2 6 7 7 8 8 8 7 7 7 7 6 4 2 1 -0 -2 -2 -0 3 3 1 0 0 0 1 2 3 3 4 4 5 4 5 6 7 5 5 6 8 7 6 4 4 5 7 6 4 5 7 8 7 6 6 6 5 4 3 3 3 4 4 3 3 7 12 15 12 8 5 5 5 4 5 6 4 4 4 4 4 4 4 4 3 3 3 4 4 4 6 7 8 9 9 8 6 5 5 12 31 50 52 36 16 6 4 6 7 6 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 3 4 3 3 4 5 5 5 3 2 3 5 5 4 3 3 3 3 3 2 2 2 2 3 3 2 1 1 1 1 2 3 3 2 2 2 3 3 3 3 3 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 2 3 3 4 4 4 4 3 3 2 2 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 6 7 7 7 7 8 8 9 8 9 10 10 10 9 8 7 7 7 8 8 7 6 7 7 7 7 9 10 10 11 11 9 8 7 7 7 6 4 3 3 4 6 7 6 5 4 5 7 4 2 4 4 3 7 10 12 1 -0 2 5 6 6 4 5 5 5 8 10 11 8 5 3 3 3 4 3 4 7 9 7 6 3 -1 -0 3 4 4 7 6 5 8 10 7 7 11 13 10 6 4 4 4 5 9 10 7 3 3 2 2 3 3 3 4 4 4 4 3 3 3 4 4 4 5 5 4 4 5 6 7 6 5 5 4 4 4 5 6 6 6 7 7 6 5 5 4 4 3 3 3 3 2 2 3 3 3 2 1 1 1 1 1 1 2 2 3 4 4 4 4 4 5 5 6 7 8 8 8 7 6 5 6 6 7 6 6 7 7 6 7 7 6 5 4 4 4 4 5 6 7 7 7 5 2 -1 -3 -6 -7 -4 1 4 5 5 5 6 8 11 14 15 11 8 7 5 5 6 6 6 7 7 6 6 6 6 7 6 5 3 -0 -5 -10 -9 -5 -2 -2 -2 -1 1 2 4 4 4 5 6 5 5 5 7 8 6 6 7 10 10 8 7 6 7 7 6 5 5 7 7 6 5 5 6 6 5 4 3 3 4 4 3 3 6 11 16 16 11 7 6 5 5 5 4 4 4 4 5 5 4 4 4 5 4 3 4 4 4 4 6 8 9 8 7 6 5 5 10 27 47 52 36 13 4 4 5 5 7 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 3 3 2 2 3 5 5 4 3 1 2 4 4 4 4 3 3 3 3 2 1 1 2 3 3 2 1 1 0 1 1 2 3 2 2 2 2 3 4 4 4 4 4 3 3 2 2 2 3 3 4 4 3 3 3 3 2 2 2 2 2 3 3 3 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 6 7 7 7 8 8 9 9 10 11 12 12 11 9 8 7 7 8 8 7 7 7 6 6 7 8 10 11 12 12 11 10 8 7 8 7 6 4 4 3 4 7 7 4 4 7 10 7 1 5 3 8 5 6 11 14 3 -0 0 4 5 5 5 6 6 6 9 11 11 8 5 4 3 3 4 2 2 6 8 5 5 6 5 3 3 4 8 9 6 5 7 8 5 8 11 11 9 5 3 3 3 6 9 9 6 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 4 5 5 6 6 6 5 5 4 4 3 3 3 3 2 2 3 3 3 2 1 1 1 1 2 2 3 3 3 3 4 3 4 4 4 3 3 4 5 5 4 4 5 5 6 6 7 7 7 6 6 6 6 5 6 5 5 5 5 5 4 5 6 7 8 10 11 9 5 2 -1 -4 -5 -4 1 3 4 4 5 6 9 13 17 15 9 7 6 4 4 4 4 4 4 4 4 5 5 4 5 6 6 3 -1 -7 -11 -10 -5 -0 1 1 2 3 3 4 4 4 4 5 6 6 6 7 8 4 2 7 10 8 8 7 7 7 7 6 5 6 5 4 4 3 4 6 6 5 4 4 4 4 4 3 4 9 13 15 12 8 6 5 5 5 4 4 4 4 5 6 5 4 5 6 6 4 4 4 4 4 5 7 8 9 7 5 5 4 6 17 29 32 24 12 5 5 5 6 8 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 2 2 2 2 2 4 4 3 3 2 2 3 4 3 3 3 3 3 3 2 1 1 1 2 2 2 2 1 1 1 0 1 3 3 2 2 2 2 3 4 4 4 4 4 3 3 2 3 3 3 4 3 4 4 3 3 3 2 2 2 3 3 2 3 3 3 3 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 5 5 5 4 5 6 7 7 8 8 9 9 11 12 13 14 12 10 9 8 7 6 7 7 7 7 6 6 6 8 9 11 11 12 12 12 11 9 8 8 7 5 5 4 4 5 7 7 4 4 7 10 6 -1 7 8 10 5 6 13 14 6 2 1 2 3 3 4 5 7 9 11 12 12 8 5 4 3 3 3 2 2 7 8 5 5 9 10 8 4 5 8 10 6 3 5 7 5 7 10 10 7 5 3 2 3 6 9 8 6 4 3 2 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 3 3 2 2 2 2 2 2 1 0 1 1 2 3 4 4 4 4 3 3 2 2 4 4 3 3 3 4 4 4 4 5 5 6 7 8 8 7 8 7 7 7 6 5 5 5 6 6 6 6 6 6 6 7 9 12 14 13 10 8 6 3 -0 -2 -1 0 1 2 4 6 8 11 11 8 4 4 4 3 3 3 2 1 0 0 1 2 1 0 3 5 6 6 4 2 1 2 3 4 3 4 4 3 3 4 4 5 6 6 7 8 8 9 6 2 4 8 8 7 6 6 6 7 7 6 5 4 3 2 3 5 7 7 6 5 4 5 5 4 3 4 7 11 13 12 10 7 6 5 5 5 4 4 4 5 5 5 5 4 5 6 5 4 4 4 4 5 5 7 9 8 6 5 4 4 8 13 15 11 9 8 6 7 8 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 1 1 0 2 3 3 3 2 2 2 3 3 4 2 2 3 3 4 4 3 2 0 1 2 1 2 2 2 2 1 0 1 2 2 2 2 2 1 2 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 4 5 6 6 5 6 6 5 6 6 5 5 5 4 5 5 5 5 4 5 6 7 7 7 8 9 10 12 14 15 14 11 9 8 7 6 5 5 6 7 6 6 6 6 8 10 11 11 12 12 12 11 9 8 7 6 5 4 3 3 5 6 6 4 6 7 8 5 2 5 11 6 5 3 10 12 6 4 2 1 2 1 2 3 7 14 15 13 11 8 5 4 3 3 3 2 4 9 8 6 5 5 8 6 4 5 7 9 7 3 5 7 5 5 8 9 7 5 3 2 2 6 9 7 5 4 3 3 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 3 3 2 3 3 4 4 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 2 3 4 5 5 5 4 3 2 2 2 4 4 3 3 3 3 4 4 5 5 5 6 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 4 4 5 7 10 13 13 12 10 7 4 -0 -2 -4 -4 -3 -2 3 5 6 6 5 4 4 4 4 3 2 1 -1 -3 -3 -1 -0 -2 -1 2 4 6 8 10 10 9 8 5 4 6 7 6 4 3 5 6 6 7 8 8 7 9 10 9 8 7 8 9 7 6 5 6 7 8 7 5 3 1 2 6 9 11 9 7 5 5 5 5 5 3 5 7 10 11 12 12 11 9 8 6 5 5 4 4 4 4 5 5 5 4 5 5 4 4 5 5 5 5 7 9 9 8 5 4 4 3 6 8 8 7 7 7 8 8 7 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 3 1 0 0 -0 0 2 3 2 1 1 2 3 4 4 3 2 3 3 4 4 4 2 1 1 2 2 2 2 3 2 2 1 2 2 3 3 2 2 2 1 2 3 3 3 4 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 6 6 6 5 5 6 6 5 5 4 4 5 5 5 5 5 5 6 7 7 8 9 10 10 12 14 15 12 9 8 7 6 5 5 5 5 6 6 6 6 7 9 10 10 11 11 12 12 10 9 7 6 6 5 4 3 2 4 6 5 5 7 8 6 5 4 3 7 6 12 5 3 4 5 5 2 2 4 4 3 3 7 14 15 12 10 7 4 4 3 3 4 4 6 8 8 6 3 2 5 4 3 4 6 9 8 6 7 6 5 5 8 8 7 5 3 2 2 6 9 7 5 4 4 4 3 3 3 4 4 4 4 5 4 4 3 4 5 5 5 5 5 5 4 5 5 5 5 4 5 5 4 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 4 5 5 5 4 3 2 2 3 5 6 5 3 3 3 4 4 5 5 5 5 5 6 7 7 7 8 7 7 7 7 6 6 5 5 5 5 6 6 5 4 3 2 3 5 7 10 12 11 8 4 2 1 -0 -2 -4 -4 -2 2 4 5 4 5 5 6 6 5 3 1 1 -0 1 2 3 3 4 5 5 6 7 8 8 7 6 5 6 9 10 8 6 7 8 8 9 10 12 10 6 6 8 8 8 9 9 9 8 5 4 5 7 8 7 5 2 1 3 8 14 15 11 7 6 5 5 6 5 4 5 6 9 11 13 13 13 13 13 10 6 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 7 9 9 7 5 4 2 3 3 5 6 6 7 7 6 6 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 4 4 3 1 0 -0 1 2 1 0 1 2 4 4 3 3 3 3 3 4 5 4 3 2 2 3 3 4 4 4 3 3 2 2 2 3 3 3 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 3 4 4 5 5 5 5 4 5 5 5 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 4 4 5 5 5 5 5 5 6 6 6 7 8 9 9 9 10 13 14 11 8 6 6 5 5 4 4 4 4 5 5 6 7 9 10 10 10 11 12 11 10 7 6 6 5 5 4 3 2 4 5 5 6 9 8 4 4 4 3 6 12 17 9 -1 -3 3 4 3 6 11 8 5 2 3 9 13 11 9 7 5 3 2 5 6 5 5 7 7 4 1 2 5 4 3 3 5 9 9 10 11 7 4 7 10 9 7 5 3 1 2 7 8 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 4 3 3 2 2 1 1 1 1 1 1 0 1 1 1 1 1 1 2 2 2 3 3 4 5 4 4 3 2 2 3 5 8 8 6 4 3 3 4 4 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 5 5 5 4 4 5 5 6 5 4 3 2 3 4 7 10 13 12 7 4 5 5 4 2 0 -3 -3 -1 2 3 4 5 6 8 8 6 5 6 6 7 6 6 6 6 5 4 4 4 3 4 5 7 6 8 13 15 12 8 8 11 11 10 10 10 10 7 5 5 6 7 9 10 10 8 6 4 4 6 8 8 5 2 1 3 8 14 14 9 6 5 5 5 5 5 4 5 6 8 10 11 12 12 12 14 14 10 6 6 6 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 7 9 9 8 6 4 2 2 4 5 6 7 7 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 nan nan nan nan nan
nan nan nan nan 3 5 5 3 2 1 1 1 1 1 1 2 3 4 3 3 3 3 3 3 4 4 3 2 2 3 3 4 5 5 5 4 3 2 2 3 4 3 3 3 3 4 4 3 4 3 3 4 3 3 3 3 3 3 4 4 3 3 3 4 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 9 9 8 9 12 13 10 7 6 5 5 5 4 4 4 4 4 4 5 7 8 9 9 10 11 11 10 9 7 6 6 5 4 3 3 4 5 6 7 7 9 8 3 3 4 4 4 11 13 9 3 -2 2 2 4 10 14 10 6 2 -1 3 12 12 9 7 5 1 0 4 6 5 4 6 6 4 2 3 4 3 3 4 5 7 9 14 14 8 4 8 11 9 6 4 3 2 3 7 8 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 2 2 2 3 2 3 3 3 2 3 3 4 5 4 4 3 2 1 1 3 5 8 8 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 7 11 14 14 10 7 6 5 5 3 1 -1 -1 0 1 1 2 3 5 7 6 7 9 8 8 8 7 6 4 4 3 2 1 1 2 4 6 7 8 14 17 13 8 7 9 9 8 7 6 7 7 5 4 5 7 9 10 10 9 7 5 5 6 8 8 5 2 1 3 7 10 10 7 5 5 5 5 5 5 4 5 6 6 7 9 10 9 10 11 13 12 9 8 8 7 6 5 4 4 4 4 4 4 4 4 5 6 5 5 5 6 7 8 10 9 8 7 6 5 5 6 6 5 5 4 4 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 2 3 4 5 4 4 3 2 1 2 2 1 2 2 3 3 3 4 4 3 3 3 3 2 1 1 2 3 3 5 6 6 5 4 2 2 3 4 3 3 3 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 3 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 5 4 4 3 3 4 4 3 3 3 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 8 8 9 8 7 10 13 12 9 6 4 4 4 5 5 4 3 4 4 4 5 7 8 9 9 9 10 10 10 8 6 5 5 5 4 3 4 6 7 6 7 8 9 8 5 5 5 4 3 4 4 7 7 3 4 4 3 8 11 9 5 2 1 3 11 12 9 7 4 1 -1 1 5 6 4 5 6 5 5 4 3 3 4 4 5 5 7 12 13 8 6 9 9 7 5 4 4 3 3 5 6 6 5 4 4 4 4 3 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 3 2 1 1 2 3 4 5 5 5 4 4 4 5 5 5 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 10 15 16 11 7 7 5 3 2 2 3 4 3 -2 -4 -2 -1 1 2 3 5 6 7 8 8 6 5 5 5 3 2 2 1 2 4 5 6 9 12 9 6 5 4 4 5 5 5 4 5 4 4 4 6 7 9 11 11 9 7 6 6 7 7 6 3 2 3 5 6 6 6 6 5 5 5 5 4 3 3 5 6 4 6 8 8 7 7 9 10 10 10 9 8 7 6 5 5 5 4 4 3 4 4 5 6 6 6 6 6 5 7 8 9 11 11 9 8 8 7 5 4 4 4 5 5 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 4 4 4 4 4 3 4 3 3 2 2 2 2 3 3 4 4 4 4 3 2 1 1 1 2 2 3 5 5 5 4 3 3 4 4 3 3 3 3 5 6 6 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 5 5 4 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 7 8 9 9 8 10 14 16 12 7 4 2 2 3 5 5 5 4 4 4 4 5 7 8 9 9 8 8 9 8 7 6 6 5 4 3 4 5 7 7 6 7 7 6 7 7 9 6 2 2 2 2 4 4 5 9 8 2 2 4 7 5 2 3 6 11 12 9 8 5 2 -0 0 3 4 4 5 7 8 9 6 4 4 4 3 4 3 5 9 10 9 9 8 8 6 5 4 4 3 3 4 6 7 5 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 5 5 6 6 5 4 3 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 3 1 1 2 2 3 3 3 3 4 4 5 5 5 5 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 7 7 8 7 7 10 14 14 12 12 9 7 4 4 4 5 3 -1 -2 -2 -2 -0 1 2 4 6 6 6 7 7 6 5 6 6 4 3 1 1 2 4 5 5 5 4 3 3 4 5 5 5 4 4 3 3 3 3 4 6 8 10 11 10 8 7 7 7 7 5 4 4 4 3 3 4 5 6 6 5 5 5 5 3 2 3 7 5 4 8 8 6 6 7 8 9 9 9 8 8 7 7 6 5 5 4 3 4 4 5 5 7 7 6 6 5 5 6 8 11 10 9 8 8 7 7 5 4 3 4 4 5 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 5 4 4 4 4 4 4 5 5 5 4 4 3 2 2 2 1 2 3 5 6 5 5 4 2 1 1 1 1 2 3 4 4 4 4 5 5 5 4 3 3 4 5 6 6 6 6 7 7 6 6 4 3 2 3 2 3 3 3 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 7 7 9 10 9 11 18 24 18 10 6 2 -0 -1 2 4 6 6 6 5 5 5 6 7 8 9 8 8 8 8 8 7 6 6 5 3 3 5 7 7 6 6 7 8 6 6 6 9 7 3 3 4 3 2 2 5 11 11 3 -0 1 4 6 5 4 6 11 13 10 8 5 3 1 1 1 1 2 5 7 7 8 9 7 4 3 5 5 3 2 5 8 10 11 8 7 6 5 4 5 4 3 4 7 8 6 4 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 4 3 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 9 10 12 13 14 13 10 8 6 4 4 3 3 3 3 4 5 6 6 6 7 7 7 7 7 7 6 6 7 5 2 1 3 6 7 5 3 3 3 4 4 5 5 4 3 3 3 3 3 3 3 4 6 7 9 10 10 9 8 7 6 5 4 5 5 4 4 4 5 5 5 5 6 5 5 3 1 2 3 4 5 8 8 7 6 6 7 8 9 9 9 8 8 8 8 7 6 5 4 4 4 4 5 6 7 7 6 5 5 5 7 9 9 8 7 6 6 7 7 5 4 4 3 4 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 7 6 6 5 5 5 5 5 5 5 5 4 4 3 3 2 1 1 2 4 5 5 5 5 4 2 2 1 0 0 1 2 2 2 3 5 6 6 5 4 3 4 5 6 7 7 7 7 8 8 7 6 4 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 5 4 4 4 4 5 5 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 7 7 9 11 12 12 16 27 21 7 5 7 3 -3 -4 1 4 6 7 7 7 6 6 7 8 9 9 8 7 7 7 8 7 6 5 4 3 4 7 7 5 4 6 9 13 8 6 5 6 5 4 3 4 5 3 2 4 8 8 5 3 3 4 6 8 7 8 11 14 12 8 5 3 2 3 2 0 1 3 4 2 4 9 8 4 4 7 8 5 3 2 5 14 16 9 6 5 5 4 6 5 4 6 11 10 6 5 4 3 3 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 5 4 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 3 2 3 3 3 2 2 2 2 3 4 4 4 5 5 5 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 7 7 7 7 9 12 13 13 11 9 8 7 8 8 7 7 7 7 8 8 9 10 9 10 11 10 10 8 6 8 7 4 2 3 6 8 8 6 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 5 7 8 9 10 9 8 7 6 5 5 5 6 5 5 4 4 4 4 4 5 5 4 2 2 2 2 4 6 8 8 6 5 6 7 8 9 9 9 8 8 9 9 8 6 5 4 4 4 5 6 7 7 7 6 6 5 5 7 8 7 6 3 5 7 8 6 5 5 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 8 7 6 6 5 5 5 4 5 5 5 5 4 4 4 3 2 2 2 2 3 3 4 5 5 4 3 2 1 -0 -0 0 1 1 2 3 5 6 5 5 4 5 5 6 7 6 7 7 7 8 8 7 4 3 3 3 3 3 4 4 5 5 4 3 2 2 2 3 3 3 3 4 4 3 4 4 3 3 3 3 4 5 4 4 4 4 5 5 5 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 3 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 7 7 6 5 7 8 10 12 14 16 20 21 4 -8 -0 9 4 -5 -5 1 5 7 9 9 8 7 7 8 9 9 9 8 7 7 7 7 6 6 4 3 5 7 7 6 4 5 7 9 11 8 3 3 4 4 3 3 5 8 5 2 3 4 5 6 7 6 5 4 6 9 11 12 13 11 8 6 5 4 2 2 1 1 3 4 2 2 6 6 4 5 8 8 6 6 2 5 18 19 11 5 1 1 4 7 10 7 8 14 12 6 5 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 2 2 3 3 3 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 6 6 6 7 8 9 10 10 10 8 6 9 13 14 11 10 10 10 10 11 13 13 13 15 14 13 11 7 7 7 5 3 2 4 6 7 7 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 7 8 8 8 7 6 6 5 5 6 6 5 5 4 3 3 3 3 4 5 3 2 2 2 4 5 7 8 7 5 5 6 7 9 9 8 8 8 9 10 10 9 6 5 4 4 5 6 6 6 7 7 7 6 5 5 7 7 5 4 5 7 7 7 6 5 5 5 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 7 6 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 2 2 3 5 6 5 4 3 1 -0 0 1 1 1 2 4 5 5 4 4 4 5 6 6 6 6 6 6 8 9 8 5 3 2 3 3 4 4 4 5 5 4 3 2 1 2 3 3 3 3 3 4 4 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 3 3 3 4 3 3 3 3 3 4 4 4 3 3 3 3 4 3 3 3 4 4 4 4 4 5 5 4 4 4 4 5 5 6 7 7 5 5 6 8 10 13 16 18 19 13 -3 -10 -3 4 -0 -6 -5 2 6 8 9 9 9 8 8 8 9 10 10 8 7 6 7 6 5 4 3 4 7 8 6 4 5 8 7 7 7 6 1 4 8 6 6 4 7 7 4 4 4 3 3 7 10 9 7 4 4 8 12 13 12 11 8 8 8 5 2 2 2 4 6 5 3 2 5 4 3 6 9 6 4 5 3 7 19 19 12 4 -3 -4 2 9 16 12 9 14 11 6 5 4 4 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 2 2 2 3 4 4 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 4 4 4 4 3 3 3 3 3 4 4 5 5 6 6 7 6 6 5 7 10 14 13 13 13 11 9 8 10 11 9 10 11 10 9 7 6 5 5 4 4 3 4 5 6 6 6 5 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 3 4 5 7 8 8 7 7 6 6 6 7 6 6 5 4 3 2 2 3 4 4 3 3 3 3 4 5 7 6 5 5 5 6 8 8 8 8 8 9 10 11 10 8 5 4 3 4 5 6 6 6 7 8 7 6 6 7 8 7 8 7 5 5 5 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 3 2 3 4 5 5 5 4 3 2 2 1 1 1 1 2 3 3 3 4 4 4 5 5 5 6 6 5 6 8 8 6 5 3 3 4 4 4 5 5 5 4 3 2 2 2 3 4 3 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 5 5 5 5 5 5 4 3 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5 6 7 7 6 5 5 6 8 11 14 18 21 19 9 -5 -10 -6 -2 -5 -7 -3 3 7 8 8 8 8 7 7 9 10 11 11 9 7 6 6 5 4 3 3 6 8 7 5 5 7 11 11 9 5 4 2 6 11 12 11 6 3 3 2 4 5 4 3 5 8 10 9 8 6 8 11 11 11 10 9 10 9 5 1 1 4 8 9 4 2 2 5 4 2 6 9 6 5 6 5 8 16 17 10 4 -4 -6 -1 11 20 14 11 15 10 6 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 6 5 5 5 6 6 8 9 9 9 6 5 4 4 4 4 5 4 5 6 6 6 6 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 3 1 1 2 3 3 3 3 3 3 3 3 3 4 6 7 7 7 7 6 6 6 7 7 6 5 4 3 2 3 3 4 4 4 3 3 3 4 6 6 5 4 4 4 6 7 7 8 9 9 9 10 10 9 6 5 3 3 4 5 5 5 6 7 7 8 8 8 8 10 10 7 4 4 4 5 5 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 6 6 5 5 4 3 3 3 3 4 4 5 5 4 3 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 4 5 6 7 7 6 4 4 4 4 4 5 5 5 5 3 3 3 3 3 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 6 7 7 6 6 5 6 6 8 10 16 24 26 20 10 -4 -12 -9 -4 -3 -5 -0 6 8 8 7 7 7 7 7 8 10 11 11 9 7 6 5 4 3 3 6 7 6 5 3 4 9 10 8 9 6 5 5 8 10 14 16 9 -2 -2 2 4 5 5 4 3 3 5 7 9 10 10 12 11 10 9 9 8 7 5 2 1 6 11 8 5 5 1 4 5 1 4 8 10 10 13 13 8 12 18 13 4 -3 -6 1 13 19 12 10 15 11 6 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 2 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 6 6 6 5 5 5 6 6 5 5 4 4 4 3 3 3 3 3 3 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 3 5 6 5 4 5 6 6 6 6 5 4 3 2 3 3 3 3 4 4 5 5 5 6 7 7 7 6 6 5 5 5 4 4 3 4 5 5 5 4 3 1 1 1 2 3 3 3 3 3 2 2 2 3 4 5 6 7 7 7 6 6 6 7 6 6 5 4 3 2 3 4 4 4 4 3 3 4 4 5 5 4 4 4 4 5 5 7 8 8 9 9 9 9 8 6 4 3 3 4 4 4 5 6 7 8 8 8 8 9 9 6 4 5 5 6 7 6 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 6 6 6 5 5 4 4 5 6 7 7 8 8 7 7 6 7 7 7 7 7 6 5 4 2 2 2 3 5 6 6 5 4 4 3 3 3 2 2 3 3 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 6 7 7 7 6 6 6 6 7 9 13 22 30 28 23 17 4 -9 -8 -2 0 -0 3 7 9 8 7 6 6 6 7 8 10 12 12 10 7 5 4 4 3 4 6 6 5 4 3 3 8 10 9 5 4 6 9 9 8 12 17 13 -2 -7 0 6 8 7 5 3 2 3 6 8 11 13 13 11 9 8 7 6 4 3 2 2 7 10 5 10 11 4 4 4 2 3 7 13 16 21 20 11 16 26 19 5 -4 -5 3 14 16 10 10 16 12 6 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 5 5 5 5 5 6 7 6 5 4 3 3 3 3 3 4 4 5 5 5 5 6 6 7 7 7 7 6 6 6 6 5 4 3 4 5 4 4 4 3 2 1 2 3 3 3 3 3 2 2 3 3 4 4 5 6 7 7 6 6 6 7 7 6 6 5 4 3 3 4 4 4 3 3 3 3 4 4 5 5 4 3 3 3 4 5 7 8 9 9 9 9 9 8 6 4 3 3 4 4 5 5 6 7 8 8 7 7 7 6 5 5 6 6 7 6 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 5 5 6 7 7 7 6 5 4 5 5 6 7 8 8 8 8 8 8 7 7 7 7 7 7 6 5 3 3 2 3 4 6 6 6 6 5 4 5 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 5 5 5 6 5 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 3 3 4 4 5 5 4 4 5 5 5 4 5 6 6 6 5 5 5 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 6 7 8 7 5 5 7 7 9 14 22 27 26 21 20 17 7 -3 -5 -1 1 3 6 8 9 8 7 7 7 6 6 8 11 12 13 10 8 6 4 2 3 4 5 4 3 5 8 4 -1 0 8 7 2 6 10 9 7 9 13 13 5 -4 -1 5 7 5 6 6 6 7 8 9 11 14 13 11 9 7 5 4 2 1 3 5 6 5 5 13 15 8 4 3 4 3 5 10 16 21 18 16 29 35 22 5 -3 -4 5 14 12 8 11 18 13 6 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 6 6 5 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 5 6 6 6 5 6 6 6 6 6 5 4 4 3 4 4 5 5 5 5 5 6 5 5 5 4 4 3 3 4 4 4 5 5 5 5 5 6 7 7 8 7 7 7 8 7 6 5 4 3 3 3 4 4 5 5 3 1 0 2 2 2 2 3 2 2 3 3 4 5 6 6 6 6 6 7 7 7 7 7 6 5 4 3 3 4 4 3 3 3 3 3 4 5 6 5 4 3 3 3 3 5 7 9 9 9 9 9 9 8 6 5 4 4 4 4 5 5 7 8 8 7 5 4 5 5 4 6 6 6 6 6 6 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 3 3 4 5 6 6 6 6 5 5 5 5 6 7 8 8 8 9 9 8 7 7 7 7 7 6 6 5 4 3 3 3 5 6 7 7 7 7 6 5 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 3 3 3 2 2 2 3 3 4 5 6 6 7 6 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 3 4 3 4 4 4 5 5 5 5 5 5 5 4 5 5 6 7 8 8 6 6 7 8 9 14 25 30 23 13 12 13 11 6 -1 -3 -0 3 5 7 8 9 9 8 8 7 6 6 8 10 13 13 11 9 7 4 2 3 3 2 1 1 4 10 9 0 -3 3 6 4 8 10 7 6 8 9 9 10 3 1 2 3 4 7 9 11 12 13 12 11 12 14 13 10 6 3 2 3 1 3 7 6 2 2 10 13 9 5 3 5 1 -1 4 12 15 12 22 39 36 20 5 -2 -1 8 13 11 7 11 17 14 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 5 6 7 7 7 7 7 8 9 8 7 5 4 3 3 3 4 5 7 7 3 -2 -1 3 2 2 2 2 3 3 3 3 4 5 5 6 6 6 6 7 7 7 7 7 7 5 3 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 3 3 4 5 7 9 9 9 10 9 9 8 7 6 5 4 4 4 5 6 8 8 7 5 4 4 4 3 4 5 5 5 6 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 5 5 6 6 6 5 5 5 5 6 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 4 3 4 5 6 6 6 7 7 7 7 6 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 7 9 12 14 21 29 26 12 4 6 9 5 1 1 1 3 5 6 7 7 8 9 9 8 8 7 7 8 10 13 14 11 8 3 1 1 2 2 1 1 2 2 4 7 10 9 3 2 6 9 8 5 6 8 7 7 10 8 5 3 3 5 8 12 15 16 16 13 9 11 17 17 11 6 3 2 3 3 4 8 7 1 -2 3 6 8 5 2 1 -2 -6 -7 1 9 12 26 40 33 16 4 -1 3 9 11 9 8 11 17 16 6 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 6 5 4 4 4 3 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 5 5 6 6 6 5 5 4 3 3 4 4 5 5 6 6 5 4 2 3 3 5 6 7 7 7 7 7 8 9 9 8 7 5 4 3 2 3 5 9 10 5 0 0 3 3 3 3 2 3 2 2 3 4 4 5 6 7 6 6 7 7 7 7 8 9 6 3 3 4 5 5 4 4 4 4 4 4 4 5 7 6 5 3 3 3 5 6 6 7 9 11 11 11 10 10 8 6 5 4 4 4 6 7 8 8 6 5 4 4 4 4 4 4 4 4 5 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 2 2 2 3 4 5 6 7 6 5 5 4 4 4 5 6 6 6 7 7 8 8 7 6 6 6 6 6 5 5 5 5 6 6 6 5 6 6 7 7 6 6 6 5 4 5 5 5 5 5 5 5 5 5 4 4 2 2 2 1 1 1 2 2 3 3 4 3 3 2 2 3 3 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 6 6 8 9 9 8 9 12 15 17 21 24 17 5 1 4 7 1 -3 2 5 6 6 5 6 8 8 8 8 9 9 9 8 9 11 14 15 11 6 1 -1 -2 -0 2 2 4 7 4 4 5 4 4 5 5 6 6 5 5 6 7 7 8 8 8 7 4 2 4 10 14 16 18 19 12 2 7 21 23 14 7 4 4 5 4 7 10 7 1 -3 -1 4 9 6 1 -3 -3 -4 -9 -7 5 15 28 36 27 13 5 2 4 7 8 8 9 12 18 15 7 4 5 5 5 4 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 5 4 4 3 3 4 4 5 5 4 4 4 3 3 4 4 5 4 4 3 3 3 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 6 6 6 5 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 4 5 5 6 6 5 3 1 1 3 4 6 6 7 7 7 6 7 8 9 8 8 6 5 3 3 4 5 8 11 7 2 2 3 5 5 5 3 3 2 3 3 3 4 4 5 6 8 6 4 7 8 7 8 10 8 3 3 5 5 6 6 5 5 4 4 4 3 5 7 7 6 4 4 4 4 5 5 6 8 10 12 13 13 12 11 9 7 5 4 4 5 6 8 8 7 6 6 6 6 5 4 3 3 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 3 2 2 3 3 5 5 6 6 5 4 4 4 3 3 4 5 5 5 6 6 6 6 5 5 5 6 6 5 5 5 5 6 7 6 5 4 5 5 6 6 7 6 5 4 4 5 6 6 7 7 7 6 5 4 4 3 3 3 1 1 1 1 1 1 2 2 2 2 2 1 2 2 2 3 3 4 4 5 5 4 4 5 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 11 10 10 11 13 14 15 15 15 8 2 1 3 4 2 1 3 6 6 5 4 5 7 8 8 8 9 10 10 10 10 11 15 15 10 5 2 -0 -3 -2 3 3 6 11 5 8 11 4 -1 3 6 5 3 5 8 7 5 6 7 7 7 5 2 -0 4 11 15 15 17 20 13 -1 0 19 25 17 9 6 6 7 7 7 9 7 3 -1 -0 4 10 10 3 -4 -3 2 1 3 9 17 27 29 22 12 6 3 3 4 6 7 8 12 17 13 7 5 5 5 5 5 4 4 4 5 4 5 5 5 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 5 5 4 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 3 3 4 6 6 6 4 2 -0 -0 2 4 5 6 6 6 6 6 6 7 8 8 8 7 6 5 6 6 4 4 8 8 3 3 4 5 6 7 6 4 3 3 3 3 3 4 4 5 9 7 3 6 7 7 7 9 8 5 4 5 5 6 6 6 6 6 5 3 3 4 6 8 8 5 3 3 4 5 5 5 7 9 12 14 15 15 14 12 9 7 5 4 4 5 7 7 8 8 8 9 8 7 5 4 3 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 5 4 3 3 3 4 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 5 5 5 6 6 6 5 5 4 5 5 6 6 5 4 3 3 5 6 7 8 9 9 7 5 4 4 5 5 3 2 0 -0 0 0 1 2 2 2 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 6 7 7 11 14 11 9 10 11 11 11 11 10 7 3 2 2 4 6 6 5 5 4 4 4 5 6 7 7 8 10 11 12 11 11 14 16 15 10 6 4 -1 -5 0 4 2 4 8 6 7 11 11 7 4 4 3 2 6 10 6 2 4 6 7 7 4 0 -0 4 12 17 16 15 18 17 4 0 14 23 17 9 6 7 8 6 4 5 7 5 3 2 5 10 12 7 -1 -3 4 12 18 15 19 24 23 17 10 5 2 1 3 6 7 9 13 18 14 6 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 3 3 4 5 5 5 5 4 4 4 3 3 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 3 3 4 4 4 5 5 4 4 4 5 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 4 4 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 3 4 4 5 5 3 0 -2 -1 2 5 6 6 6 6 6 5 6 7 7 7 6 6 6 6 8 8 4 1 3 6 6 4 5 6 7 8 8 7 5 3 3 3 2 2 3 4 6 7 5 6 7 7 7 7 7 6 5 4 4 6 7 7 7 7 6 5 3 2 5 7 7 6 3 3 4 5 5 5 6 8 12 14 16 17 16 13 10 8 7 6 4 4 5 7 8 8 9 10 9 7 6 5 4 4 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 4 3 4 4 5 4 4 4 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 6 5 4 2 2 3 4 5 7 9 10 9 7 6 7 8 7 5 4 2 0 -0 0 0 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 6 7 9 12 13 9 7 8 8 9 10 11 13 12 6 3 3 5 7 6 5 4 3 3 5 6 6 6 7 8 10 12 12 13 14 17 19 16 10 7 4 0 -1 4 5 1 -0 3 6 6 6 7 8 7 5 3 3 8 9 3 -0 1 4 8 10 7 2 -0 3 10 15 15 13 16 20 15 9 15 19 13 7 4 6 8 6 3 5 6 5 6 5 5 8 11 8 3 -2 2 16 25 19 17 16 11 7 6 2 -0 3 5 7 8 9 12 17 13 6 5 5 6 6 5 4 4 4 5 5 5 5 5 4 4 3 3 3 5 5 5 5 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 5 4 5 4 4 4 4 5 5 5 4 4 4 4 5 4 5 5 6 6 6 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 3 3 3 3 4 4 3 3 3 3 4 5 5 5 5 6 6 6 7 7 6 5 4 4 4 3 3 3 3 4 4 4 5 4 5 5 5 6 6 5 5 4 4 3 2 1 -1 -1 -1 2 5 5 5 6 5 5 5 5 7 8 7 6 5 5 7 8 8 5 2 0 1 4 5 5 6 7 8 8 8 7 5 4 3 2 2 2 3 4 4 5 6 7 7 7 7 7 6 5 3 4 6 7 7 7 7 7 6 4 3 3 5 6 5 4 4 4 5 5 6 6 8 11 13 16 16 15 13 10 8 8 7 5 5 5 7 7 8 9 9 8 6 6 6 6 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 7 7 6 5 4 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 5 4 4 5 5 6 5 3 2 2 3 4 5 6 9 10 10 9 9 9 8 7 6 5 3 2 1 0 0 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 4 3 4 4 4 4 5 5 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 5 6 6 8 11 13 12 7 6 6 7 9 11 14 17 15 6 1 3 5 5 4 4 3 3 4 5 7 7 6 7 8 12 13 14 14 16 19 19 15 11 7 5 3 3 4 4 0 0 3 5 5 5 6 5 5 6 5 5 5 2 -2 -2 2 4 7 10 8 3 0 2 6 9 12 14 16 22 22 18 17 14 6 4 6 8 7 5 8 10 6 5 9 8 5 8 9 8 3 -3 -4 11 24 21 13 4 -4 -1 3 0 3 9 9 7 9 10 11 14 12 6 5 5 6 6 5 5 4 4 4 5 6 6 5 4 4 3 3 4 4 5 5 5 5 5 4 4 4 3 3 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 5 4 4 4 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 5 4 3 3 3 3 4 4 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 4 5 6 6 5 5 5 6 7 7 6 5 4 3 2 0 -0 -1 -0 1 3 5 6 6 5 4 4 4 4 6 8 8 7 5 5 7 9 8 6 3 1 -0 3 5 5 6 6 6 8 8 7 6 5 4 3 2 2 3 3 3 4 5 6 7 7 7 7 7 5 4 4 4 5 6 7 8 8 7 5 3 2 3 4 4 5 5 5 5 6 6 6 7 9 12 14 15 13 11 9 7 7 7 7 6 6 7 7 7 7 6 5 5 5 6 7 7 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 6 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 5 5 5 6 7 5 3 2 2 3 3 5 7 8 9 9 8 7 6 6 7 7 7 6 4 2 1 1 1 1 1 2 2 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 5 5 5 4 4 4 4 5 5 5 6 5 5 4 5 5 5 5 4 4 4 4 5 5 5 7 11 13 13 10 7 6 6 7 9 11 14 15 7 -2 -2 3 4 4 4 4 4 4 5 6 7 8 7 6 8 11 13 15 15 18 19 16 13 10 7 5 2 2 2 1 2 5 5 5 5 4 6 5 5 8 7 3 -1 -6 -5 1 6 6 4 3 5 3 0 1 3 5 10 13 17 21 22 19 15 8 0 4 11 10 4 4 13 17 7 4 8 9 8 9 9 7 5 2 -3 10 25 20 8 -4 -10 -1 5 4 10 15 12 9 9 9 11 15 13 6 5 5 5 6 6 5 4 3 5 6 6 6 5 4 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 5 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 5 5 5 5 4 3 3 3 2 3 3 3 4 4 4 4 5 5 5 5 4 6 7 6 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 6 7 8 7 7 7 6 7 7 7 6 5 4 3 1 -0 -0 0 1 3 4 6 6 5 4 4 4 4 4 5 6 6 6 6 6 8 10 10 7 5 3 1 3 5 5 5 5 5 6 6 7 7 6 5 5 3 3 3 3 3 3 4 5 6 7 7 7 7 6 6 4 3 4 5 6 7 8 8 6 3 2 2 3 3 3 4 4 5 6 5 5 6 7 9 11 13 13 10 8 6 5 6 7 7 7 8 8 7 5 5 5 4 5 6 7 8 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 7 7 6 5 4 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 2 2 2 3 3 3 4 4 5 5 5 6 8 8 6 4 3 3 4 4 5 6 6 5 5 5 4 5 6 8 9 10 8 7 4 2 1 1 2 2 3 3 4 4 3 3 2 2 3 3 3 3 4 3 3 3 3 4 4 4 5 5 6 5 5 5 5 4 5 4 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 9 13 13 10 8 7 6 6 8 9 10 12 10 -1 -6 -2 3 4 4 4 5 5 5 6 6 8 8 8 7 8 11 13 15 17 17 16 13 11 8 6 4 2 1 -1 -0 4 9 5 2 2 5 7 6 6 8 6 1 -5 -6 0 8 10 7 2 -0 1 3 2 1 2 4 7 11 17 20 18 13 10 3 -2 6 14 10 2 2 11 14 7 2 5 8 10 11 8 5 8 14 11 20 27 19 5 -6 -7 5 10 12 17 17 13 10 9 9 11 15 13 7 5 5 6 6 6 4 4 4 5 6 6 6 5 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 5 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 5 5 5 4 4 6 8 6 4 2 2 2 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 7 8 9 10 10 9 8 9 8 8 7 6 5 4 3 2 1 1 1 3 4 6 8 6 4 3 3 3 4 5 5 5 5 6 6 7 8 11 12 10 6 5 4 4 6 6 6 5 5 4 5 5 6 7 7 6 5 4 3 3 3 3 3 3 4 6 7 7 7 7 6 5 4 3 4 5 6 7 7 6 5 3 3 2 1 2 3 4 4 5 5 5 5 5 6 8 10 12 11 9 7 5 5 5 6 6 8 10 9 7 6 6 5 5 6 7 7 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 6 5 3 3 2 2 3 3 4 5 5 6 6 6 6 5 4 4 4 3 3 4 5 5 5 4 3 2 2 2 2 2 3 3 3 5 5 6 6 8 11 10 7 5 4 5 5 5 5 4 4 3 3 3 4 5 7 9 11 11 11 9 6 3 2 2 3 3 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 7 11 11 9 7 7 7 7 7 8 9 10 8 -1 -3 0 4 4 5 5 5 5 5 5 7 8 8 9 9 9 11 14 16 17 15 13 11 8 7 6 4 2 3 -0 -1 5 10 6 1 0 5 8 6 5 4 3 2 -0 4 9 12 10 6 3 1 2 4 4 2 1 1 2 6 14 19 16 11 8 2 -1 9 15 8 1 -0 3 6 6 3 3 7 10 11 6 0 10 22 22 25 26 17 5 -5 0 15 19 18 19 16 12 10 9 9 11 14 13 7 4 5 6 6 6 5 4 4 5 5 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 3 3 4 4 5 7 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 4 5 6 5 4 4 4 4 4 6 6 5 3 2 3 3 3 4 4 4 4 4 5 5 5 6 6 5 6 6 6 6 6 6 7 7 7 7 6 5 6 6 7 9 11 12 12 11 11 11 11 10 10 8 6 5 4 4 3 3 3 2 3 5 8 9 5 3 3 3 4 5 5 6 6 6 6 5 6 8 11 14 11 6 5 6 6 6 6 6 5 5 4 4 5 6 7 7 7 8 7 5 4 4 3 3 3 4 4 5 7 7 7 7 6 5 4 4 4 5 6 6 6 5 4 4 3 2 2 2 3 4 5 5 5 4 4 4 5 6 9 10 10 10 8 6 4 4 5 7 10 11 11 8 7 7 6 5 5 6 6 6 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 4 4 5 6 6 5 4 3 2 2 2 2 3 3 6 7 8 8 8 8 7 7 7 6 5 5 7 7 6 6 5 5 4 3 2 2 2 2 3 3 4 5 5 6 8 11 12 9 7 6 6 6 5 4 3 3 3 3 2 3 4 6 8 10 11 12 12 11 6 3 2 3 4 5 6 6 6 6 5 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 9 11 8 8 8 7 7 7 7 8 9 6 2 1 3 4 4 5 5 5 6 6 6 7 7 9 10 10 9 10 12 15 16 13 10 8 4 5 5 1 2 6 5 1 5 8 6 3 3 5 5 5 0 -4 1 4 7 10 9 8 5 3 2 1 2 5 6 2 -3 -4 -1 3 10 18 17 14 9 3 5 14 14 6 -2 -5 -2 4 6 4 3 5 8 7 4 2 10 17 18 23 24 15 4 -3 6 23 25 21 17 13 10 9 9 9 10 13 13 8 4 5 6 6 6 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 5 6 6 6 6 5 4 4 3 3 4 4 6 7 6 5 5 4 4 4 4 3 3 3 3 3 3 2 3 5 7 8 6 4 3 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 5 5 6 6 6 6 6 6 7 7 8 8 7 7 7 8 9 11 12 13 13 13 13 13 12 12 10 8 6 5 4 2 -1 0 3 1 1 5 8 9 6 4 4 4 4 5 5 5 6 7 6 6 6 7 11 14 12 6 4 5 5 6 6 6 6 6 6 6 6 7 7 8 9 10 10 9 8 7 6 5 3 3 3 4 6 6 7 7 6 5 4 4 5 5 4 5 5 5 5 5 4 3 2 2 3 4 5 5 5 5 4 3 2 3 5 8 11 12 12 10 8 5 5 7 9 10 11 9 8 8 7 6 6 6 6 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 4 5 4 5 5 4 4 3 3 3 2 2 2 3 5 6 7 7 7 7 8 9 9 9 10 12 11 8 4 3 5 7 7 6 4 2 1 2 3 4 4 5 5 6 7 10 11 9 7 6 6 5 4 4 3 3 2 2 2 2 3 5 6 8 9 11 13 14 10 5 4 3 4 5 5 5 5 6 6 6 4 4 3 4 4 3 2 2 2 2 2 3 3 3 3 3 3 2 3 4 4 4 5 5 5 5 5 5 4 3 4 4 4 4 3 4 6 6 6 6 5 4 7 11 10 10 8 7 7 8 8 8 5 3 2 2 3 4 4 4 5 5 5 6 6 7 9 11 12 10 8 8 11 15 15 12 7 5 3 3 3 -4 -2 5 7 5 5 6 5 5 6 5 3 2 1 2 7 7 6 6 4 2 2 2 4 4 4 6 7 0 -7 -6 -2 1 6 15 23 22 12 5 9 14 10 3 -3 -6 -1 8 10 4 2 4 5 3 2 7 10 7 8 21 24 15 3 -2 8 21 23 19 15 10 8 8 9 9 10 13 15 9 4 5 6 7 6 5 4 4 5 5 5 4 4 4 4 5 4 4 4 5 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 3 4 5 6 6 6 5 5 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 4 3 3 2 2 3 3 5 8 10 8 4 3 4 5 5 4 3 3 3 3 4 5 4 4 4 4 5 5 5 6 6 6 5 6 6 6 6 6 6 7 7 8 9 9 8 9 9 10 11 11 12 13 13 13 14 14 14 12 10 7 5 5 5 -0 -6 -4 2 2 1 5 6 6 5 4 5 5 5 5 5 5 6 6 7 7 7 7 10 13 12 7 6 5 5 6 6 7 8 7 8 8 8 7 7 8 10 12 13 13 12 11 10 8 5 3 3 3 4 5 6 6 6 6 5 5 5 5 5 4 4 5 5 6 5 4 3 3 3 4 5 5 5 5 5 4 3 2 3 6 9 12 14 14 13 9 7 7 8 8 6 6 7 8 9 8 6 6 5 6 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 4 4 4 3 3 3 2 2 2 3 4 4 5 5 5 6 8 10 11 15 19 15 6 0 0 3 8 11 11 7 3 2 2 3 4 5 5 5 5 6 8 8 7 6 6 5 5 4 3 3 3 3 2 2 3 3 4 5 7 8 10 12 14 12 8 5 5 4 4 4 4 4 5 6 6 6 4 4 4 4 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 3 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 6 6 6 5 4 4 5 12 14 10 9 8 8 9 9 5 0 0 2 3 3 3 3 4 4 5 6 6 6 8 11 13 12 9 7 8 12 16 16 11 5 4 3 2 1 0 4 5 3 4 3 3 3 5 5 5 5 5 10 18 19 11 4 2 2 1 1 2 6 9 10 12 10 -1 -9 -7 -2 2 6 16 28 27 12 2 7 9 3 1 -5 -12 -2 15 15 2 -0 6 4 0 5 10 9 3 6 21 25 15 2 -1 8 18 20 16 12 8 7 8 8 7 10 14 13 6 4 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 2 3 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 3 3 4 4 6 9 8 5 4 5 6 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 5 6 6 6 7 7 7 8 7 8 9 10 11 11 11 12 12 12 12 12 12 13 13 13 13 13 11 9 7 6 5 4 2 -2 -1 3 4 5 5 4 4 5 4 5 5 5 5 5 5 5 5 6 6 7 7 8 10 9 7 6 5 4 5 6 8 9 9 9 9 9 8 8 8 10 12 14 15 15 14 13 11 8 6 5 5 4 4 5 6 6 6 5 5 5 6 5 4 4 4 5 6 6 5 3 3 3 4 4 5 5 5 6 5 4 3 3 5 7 9 13 17 18 16 12 8 4 4 3 4 6 7 9 8 6 6 6 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 4 4 4 4 3 3 3 2 2 3 3 3 3 3 4 5 6 8 10 15 21 17 6 1 1 5 10 14 15 12 7 3 2 2 4 5 5 5 5 5 6 7 7 5 5 4 4 3 3 2 3 3 3 3 2 2 3 5 6 6 8 10 13 13 10 7 6 5 4 3 3 4 4 5 6 6 5 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 1 1 2 3 3 3 3 4 4 4 4 3 4 4 4 4 3 3 4 6 6 5 4 4 4 6 14 15 10 9 9 9 11 11 1 -3 -1 1 3 3 3 3 3 4 5 6 6 7 10 13 13 11 8 7 10 14 17 16 11 5 3 3 1 3 8 5 1 2 3 -0 -0 2 4 5 6 8 9 13 19 19 13 5 2 2 3 2 2 5 9 12 16 14 0 -8 -6 -2 3 10 20 24 17 3 -4 2 5 1 1 -6 -23 -15 14 18 3 0 3 -4 -5 6 11 8 6 11 22 25 15 3 1 9 16 17 14 9 7 7 9 8 7 10 12 8 5 5 6 7 7 7 6 5 5 5 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 2 2 3 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 4 4 3 3 5 7 8 6 5 6 6 5 4 4 4 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 8 9 11 12 13 13 13 13 13 12 12 11 11 11 11 11 10 10 9 7 7 7 6 6 5 5 4 5 5 6 5 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 5 4 4 6 8 9 9 8 8 8 7 8 7 9 10 12 13 14 14 14 14 13 12 10 9 7 5 5 7 7 7 6 5 6 5 5 5 4 4 4 5 5 5 4 3 3 4 5 5 5 5 5 5 4 4 3 3 4 7 11 16 20 19 15 9 4 1 1 4 5 6 7 8 8 7 7 6 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 4 4 3 3 3 3 3 2 2 3 3 3 3 4 3 4 4 5 7 11 16 16 10 5 5 8 10 12 15 15 11 5 3 3 5 5 5 5 5 5 5 6 6 5 4 4 4 3 2 2 2 3 3 3 3 3 3 4 4 5 6 8 11 13 12 9 7 5 4 4 4 4 4 4 5 6 6 5 4 4 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 3 3 4 5 6 5 4 4 4 4 8 15 16 11 10 11 11 11 8 -2 -3 0 2 3 3 3 3 3 3 5 6 7 9 14 14 10 8 8 11 13 15 16 15 10 7 5 4 3 6 8 -1 -0 4 2 -2 -2 2 4 5 7 8 8 7 5 4 5 3 1 1 2 2 1 4 7 7 10 10 1 -4 -4 -2 4 13 20 19 9 -3 -7 -1 2 -2 -2 -7 -21 -18 7 15 5 -1 -4 -7 -5 3 9 9 9 16 24 23 13 3 2 10 15 14 12 8 7 7 7 7 7 9 11 9 6 5 7 8 7 8 7 6 5 6 6 6 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 4 5 5 5 5 6 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 3 4 4 4 3 2 4 6 8 8 7 7 6 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 7 8 8 8 8 9 10 12 13 14 15 14 13 12 12 12 11 10 9 8 8 7 7 6 6 5 5 6 7 7 6 5 5 5 5 4 1 -2 1 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 5 5 5 6 8 8 7 7 7 6 6 6 6 6 6 8 9 10 11 11 13 15 17 17 15 12 8 7 7 7 8 8 7 6 6 5 5 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 2 3 4 7 13 18 20 16 11 6 3 1 2 3 4 6 8 10 9 8 7 7 6 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 4 4 4 3 2 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 6 10 14 13 10 8 8 8 8 11 14 13 8 4 3 4 5 5 5 4 4 5 6 5 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 5 7 9 11 11 10 8 6 5 5 4 4 4 4 4 5 6 5 5 4 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 4 4 4 5 4 4 4 4 5 5 4 4 3 4 6 10 17 16 11 9 12 14 9 1 -4 -3 0 3 3 3 3 3 3 3 4 6 7 11 16 14 8 7 8 12 14 15 16 12 8 7 7 8 8 8 6 4 4 5 1 -2 -2 2 5 7 10 11 10 5 -1 -3 -1 0 -0 1 2 2 2 4 4 3 2 -1 -1 0 -0 -0 6 15 21 19 11 1 -5 -3 -1 -4 -6 -5 -5 -2 5 4 1 -2 -5 -2 3 6 9 10 13 19 22 19 11 3 4 10 13 12 10 9 8 7 6 5 6 9 10 8 7 6 7 8 7 7 7 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 5 5 5 5 4 4 4 5 7 7 6 6 5 5 4 3 2 2 4 7 9 9 8 6 4 4 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 7 7 8 8 9 9 9 11 12 13 14 14 13 12 11 11 10 10 9 8 7 7 6 5 5 4 3 3 4 5 5 5 4 5 5 5 4 1 -3 -5 0 4 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 5 5 5 6 6 6 6 6 5 5 6 6 5 5 4 4 4 5 6 7 8 10 13 17 18 18 15 12 9 8 8 8 9 8 7 7 6 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 5 3 3 3 5 9 15 19 18 14 8 4 2 1 2 3 4 7 9 10 9 7 7 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 4 4 4 3 3 3 3 3 3 3 4 4 5 4 4 3 2 2 3 3 4 7 11 13 12 10 7 6 6 8 12 13 10 6 4 4 5 6 5 4 5 6 7 7 5 3 3 2 2 2 2 2 2 3 3 3 2 3 3 3 4 4 5 8 9 10 9 8 7 6 4 4 4 4 4 4 5 6 6 5 4 3 3 3 2 3 3 2 2 1 0 1 1 1 1 1 2 2 1 2 2 3 3 3 4 4 4 4 4 5 5 6 5 4 4 4 6 9 14 18 15 10 8 10 11 4 -3 -4 -4 0 2 2 3 3 3 3 3 4 6 7 12 14 11 8 7 9 12 14 16 15 8 5 6 4 6 8 6 4 6 6 5 2 0 1 3 6 9 13 17 13 8 4 1 -0 0 1 3 4 5 4 4 1 -2 -3 -3 -0 3 4 7 11 18 23 22 17 9 -1 -4 -1 -1 -4 -2 5 11 14 4 -2 1 1 2 6 9 10 11 14 16 18 16 10 4 5 10 13 12 10 8 8 7 4 4 7 9 8 7 8 8 8 7 7 6 8 7 7 7 7 6 6 5 5 5 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 6 5 4 4 4 5 6 6 5 3 3 3 5 7 10 10 10 8 5 5 4 3 3 2 2 4 6 8 7 5 4 4 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 7 7 7 8 9 9 8 9 10 11 11 12 13 12 11 10 10 9 9 8 8 8 7 7 7 6 5 3 -1 -2 -1 0 3 4 4 4 5 4 4 2 -0 -2 1 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 4 4 5 5 4 5 5 5 4 4 3 3 4 5 5 6 7 10 13 15 16 15 14 13 12 11 9 8 8 7 7 6 6 6 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 6 6 4 3 3 4 6 11 15 17 14 10 7 4 3 3 3 3 4 7 9 9 7 6 6 6 5 6 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 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2 3 3 2 3 5 8 11 13 12 8 5 5 6 10 12 11 7 5 4 5 5 4 4 7 10 11 9 5 3 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 4 5 6 7 8 8 7 6 4 3 3 3 3 4 5 5 6 6 6 5 4 3 2 2 3 3 3 3 2 2 1 1 1 1 1 2 2 2 2 2 2 2 3 4 4 4 4 5 5 6 6 5 4 3 5 8 13 19 20 14 8 6 7 5 -3 -4 -3 -3 1 2 2 3 3 3 3 4 5 6 8 10 10 9 7 7 9 12 14 15 12 5 4 5 1 -1 3 5 5 5 5 5 4 3 3 5 6 9 12 12 9 6 4 4 4 4 4 5 6 6 5 3 -1 -4 -4 -1 1 5 10 15 19 23 24 23 20 14 4 -3 -1 3 1 0 4 12 20 13 2 2 1 -0 4 9 11 11 9 8 13 15 10 5 6 10 13 12 9 8 8 6 4 4 8 9 7 6 6 9 10 9 7 6 7 7 8 9 8 6 5 5 5 5 5 4 5 5 5 5 4 4 4 4 5 4 4 4 3 4 4 4 4 4 4 4 4 3 3 5 4 4 4 4 5 6 4 4 4 4 5 6 5 4 3 2 3 5 7 9 10 10 8 5 4 4 5 5 3 2 2 3 5 5 5 4 4 4 5 5 4 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 9 9 8 9 10 11 11 12 11 10 9 8 8 7 7 7 8 8 7 8 8 8 5 1 -4 -5 -2 2 4 5 5 4 4 4 4 4 2 -1 2 5 5 5 5 5 5 5 5 5 5 6 5 5 6 5 6 6 6 6 7 7 4 1 3 4 4 3 3 3 3 3 3 4 4 5 6 6 6 6 8 10 12 12 14 15 14 13 11 9 8 7 6 6 6 5 5 6 7 7 6 6 5 5 5 5 5 4 4 4 4 4 5 6 5 4 4 4 4 6 10 13 13 12 10 8 7 5 5 4 4 5 7 8 7 6 6 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 4 5 6 7 7 8 7 7 7 6 6 6 5 4 4 4 4 3 4 3 3 3 4 5 8 12 13 11 7 5 5 7 10 11 9 6 5 5 5 4 7 11 15 15 10 6 4 3 3 4 4 4 5 5 4 4 2 2 2 2 2 2 3 4 5 6 7 7 6 4 3 3 2 3 3 4 5 5 5 6 6 6 6 4 3 2 3 3 3 4 3 2 2 1 1 0 1 1 1 2 2 2 3 3 3 3 4 5 5 5 6 6 6 4 3 4 8 14 20 25 20 10 5 5 5 -0 -8 -7 -3 -1 2 2 2 2 3 3 4 4 5 7 8 8 8 8 8 9 11 11 11 12 8 4 6 7 2 -1 2 7 7 3 3 6 6 4 4 5 5 7 6 1 3 5 5 5 6 6 6 5 5 6 5 2 -1 -3 -2 0 4 9 14 20 23 20 21 22 20 17 9 0 -1 3 6 3 0 2 6 7 5 4 2 0 4 11 13 9 4 6 16 19 10 5 7 11 14 13 10 7 6 4 4 6 8 8 6 5 6 9 12 11 7 5 6 8 9 10 8 6 5 5 5 5 5 5 4 5 5 4 4 5 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 3 4 5 6 6 5 3 2 3 3 5 6 7 8 8 6 5 4 5 5 5 4 3 2 3 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 9 8 8 9 10 10 10 11 10 9 8 7 7 6 6 6 7 7 7 7 8 8 7 4 1 -0 2 5 5 5 4 4 4 4 5 5 5 -1 -2 5 5 6 6 5 5 5 5 4 5 5 5 5 6 6 7 8 7 6 7 7 4 2 2 3 3 2 2 2 2 3 3 3 4 5 6 6 5 5 5 6 7 9 12 14 14 12 11 10 10 9 9 7 5 4 4 5 8 9 7 6 5 5 6 6 5 5 5 4 3 3 4 5 5 5 5 4 3 4 7 10 13 13 12 12 10 10 9 7 5 5 5 6 6 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 7 8 8 9 9 10 11 10 10 9 7 5 5 5 4 5 5 4 4 3 3 4 5 8 12 12 9 6 6 6 8 11 11 8 6 5 5 6 9 12 14 12 9 6 4 4 6 6 6 6 7 6 5 5 3 2 2 3 2 2 3 3 4 5 6 6 6 4 3 3 3 3 3 4 4 4 5 6 6 7 8 6 4 3 2 2 3 4 4 4 3 2 2 1 1 1 1 1 2 2 3 3 3 3 4 5 6 6 7 6 5 3 3 8 14 21 26 27 16 4 4 7 5 -4 -12 -9 -3 1 2 3 3 3 3 3 4 5 6 7 8 8 8 9 10 11 13 11 9 9 7 6 10 11 6 2 5 7 6 5 4 5 5 4 4 4 5 4 1 -1 5 10 10 7 6 4 4 4 4 4 4 3 1 0 1 4 7 10 12 17 19 13 22 27 21 16 10 3 -1 1 7 7 -1 -6 -10 -7 5 12 8 5 5 9 10 8 7 14 26 24 11 6 8 12 14 13 10 7 6 5 5 7 7 6 6 6 7 11 15 11 5 4 5 8 10 10 8 6 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 5 5 5 4 4 4 5 6 5 4 3 3 3 4 4 4 5 7 8 7 6 6 6 5 5 4 4 5 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 6 6 5 5 6 5 6 7 7 7 8 8 7 5 6 6 5 4 4 4 4 5 4 4 4 3 1 4 5 5 6 6 6 6 6 5 5 5 6 5 6 6 7 7 7 7 8 7 4 1 2 2 3 3 3 2 3 3 3 3 4 5 5 6 5 4 5 5 7 9 10 11 12 10 8 8 9 11 11 10 8 5 4 4 7 9 8 6 5 5 6 6 7 6 5 4 3 3 2 3 4 5 4 4 4 3 6 9 12 14 14 13 13 15 15 11 7 6 5 4 4 4 4 4 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 8 9 9 9 7 7 8 9 11 13 15 16 14 8 4 4 5 5 5 5 5 4 3 2 2 3 5 8 10 10 8 7 6 7 9 11 10 7 6 5 6 9 9 8 7 6 5 5 6 7 7 7 7 8 7 6 5 3 3 3 3 2 2 3 3 4 5 5 6 6 5 4 4 4 3 3 3 4 4 5 6 6 8 9 9 6 4 2 2 2 3 5 6 5 2 2 1 1 1 1 1 1 2 3 3 4 3 4 5 6 7 7 6 4 3 5 12 19 22 22 21 13 6 8 11 4 -7 -13 -8 -1 2 2 3 3 3 3 3 4 5 6 7 9 10 11 12 13 13 13 11 9 8 8 8 9 11 7 3 5 4 4 6 5 6 6 5 4 4 5 3 2 6 12 16 12 6 2 1 2 3 3 3 4 5 5 4 5 7 8 8 8 11 13 13 29 33 19 12 8 4 1 1 4 8 6 2 -2 -3 7 14 13 8 3 9 14 13 14 24 32 23 11 6 9 12 14 13 11 8 6 6 6 7 7 6 6 7 9 13 14 9 4 3 6 8 10 10 8 7 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 5 6 5 4 4 5 5 5 4 3 3 4 4 4 3 3 3 5 7 8 7 7 7 5 5 5 6 8 10 9 8 7 7 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 6 5 5 4 4 4 5 5 6 6 8 10 10 7 6 6 6 5 5 5 5 5 5 5 4 2 2 5 5 5 5 6 6 7 7 6 5 5 5 5 5 6 6 6 6 7 9 9 7 2 2 4 5 5 5 5 5 4 4 4 4 5 6 5 5 4 4 5 7 8 9 9 10 10 7 6 8 9 11 11 10 8 5 4 6 8 8 6 5 5 5 6 6 7 6 5 4 3 2 2 3 4 3 3 4 4 5 8 10 13 14 14 15 17 17 13 9 7 5 4 4 3 3 3 4 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 10 13 14 12 10 7 6 7 8 10 13 16 20 16 8 4 4 5 4 4 5 6 5 3 2 2 2 3 5 8 9 9 8 7 6 8 10 10 8 6 5 6 7 7 5 4 3 4 5 7 7 7 6 6 7 7 6 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 3 3 4 4 5 5 6 7 8 10 10 8 5 3 2 1 2 6 8 6 2 1 2 2 2 2 1 0 1 2 3 4 4 5 7 7 7 7 5 3 3 9 15 19 19 14 11 13 15 15 11 -1 -12 -11 -4 1 2 3 4 5 5 4 4 4 5 5 8 12 14 14 14 14 14 13 11 9 8 8 7 7 10 9 7 6 5 7 8 6 7 6 4 3 4 5 4 5 8 9 7 6 3 1 -0 1 1 1 2 5 8 9 9 9 9 5 3 5 9 9 16 28 28 16 9 5 4 3 2 2 4 7 10 12 9 6 9 10 7 4 8 16 16 19 26 28 18 9 6 10 13 14 13 11 8 7 7 7 6 5 5 6 7 11 15 13 6 3 3 6 9 10 10 8 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 4 5 4 4 4 4 4 3 4 4 5 5 6 6 5 4 4 5 5 4 4 3 4 4 4 4 3 3 3 3 5 7 8 8 8 7 6 7 9 11 11 9 8 7 7 7 7 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 9 9 8 8 7 6 6 5 5 5 5 5 4 4 4 4 5 6 7 8 7 6 6 6 5 5 5 5 5 6 5 4 1 -2 2 5 5 5 5 6 7 8 9 8 5 5 4 4 4 5 5 5 6 8 10 10 7 5 9 9 8 7 7 6 6 5 5 5 6 6 6 5 5 5 6 6 7 8 9 11 11 10 9 9 9 9 9 10 9 7 6 6 7 7 6 5 5 5 6 6 7 7 6 5 4 3 3 2 3 3 3 3 3 4 6 8 10 12 12 14 14 14 12 10 7 7 5 3 3 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 13 14 13 12 10 9 8 8 9 10 12 14 17 16 11 8 7 6 5 4 5 6 6 5 3 2 2 2 3 5 7 8 8 8 6 6 8 9 8 6 5 5 5 6 6 4 4 4 6 8 7 6 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 5 5 4 4 4 5 5 5 5 6 6 8 10 11 9 7 5 4 3 3 7 9 7 2 0 2 3 3 3 2 1 0 1 2 3 5 6 7 7 7 7 3 1 5 10 14 18 20 15 10 16 21 14 3 -9 -15 -8 0 2 3 5 5 6 6 6 5 5 5 7 12 17 18 17 15 14 13 12 11 9 6 6 7 8 10 11 12 10 10 13 12 10 7 4 0 1 3 4 4 4 3 -1 -5 -0 2 1 -1 -1 -1 -0 1 5 9 11 12 14 11 4 1 5 7 7 13 21 21 16 11 6 5 6 5 2 1 2 5 11 9 3 6 8 7 5 3 8 12 17 22 20 13 8 7 10 12 13 12 10 8 8 8 7 6 4 4 4 6 13 17 12 5 3 4 7 9 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 3 3 3 3 2 3 4 6 7 8 9 9 8 9 10 10 9 8 8 7 6 6 6 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 8 8 7 6 5 4 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 5 5 4 5 6 6 4 2 -1 -0 4 5 5 5 6 6 7 10 12 8 7 6 4 3 2 3 4 6 9 9 8 8 9 12 12 10 8 7 7 6 6 6 7 7 7 7 5 5 5 6 6 6 7 8 10 12 13 13 12 11 9 8 7 7 7 8 7 6 6 5 4 4 4 5 5 6 7 7 6 5 4 3 3 3 3 3 3 3 4 4 5 6 7 9 10 9 9 9 8 8 7 6 3 3 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 9 8 9 10 10 10 11 12 11 11 12 14 14 14 13 9 6 4 5 6 6 6 5 3 3 3 3 3 4 6 7 9 8 8 7 7 7 7 6 5 5 5 6 6 6 6 7 7 6 5 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 8 9 10 10 8 7 6 5 5 7 9 7 2 0 1 3 4 5 5 3 1 0 1 2 5 6 7 9 8 5 1 1 5 9 11 18 24 23 20 21 15 2 -8 -13 -12 -4 1 3 5 6 7 7 8 7 6 6 6 12 18 20 18 15 15 14 11 9 11 10 6 5 7 8 9 8 10 11 9 8 6 5 2 -1 -3 -1 1 2 2 1 0 -2 -5 -2 1 0 -2 -3 -2 0 2 5 9 12 17 19 14 5 2 4 5 5 6 11 15 14 10 6 7 8 7 5 2 1 4 9 8 5 8 10 9 5 4 7 11 15 18 16 11 7 7 9 12 12 10 9 7 8 8 7 6 5 4 3 5 12 17 10 4 4 5 7 9 9 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 6 6 5 4 4 4 3 3 3 3 3 4 6 8 8 8 7 8 8 8 7 7 7 6 6 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 9 8 7 6 4 4 4 4 4 4 5 5 6 6 7 8 9 8 6 6 5 5 6 6 5 4 4 5 6 6 6 5 2 2 4 5 5 5 6 6 7 9 11 11 11 10 8 7 5 4 4 5 8 9 6 6 11 14 14 11 8 7 6 7 7 8 9 9 8 7 5 5 5 5 5 6 6 7 8 10 12 14 16 15 14 12 11 9 9 10 9 8 6 4 3 3 4 4 5 5 6 6 6 6 5 5 4 4 3 3 3 4 5 4 4 4 5 5 6 6 5 4 6 6 6 6 4 4 5 5 4 3 4 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 7 9 9 9 10 11 10 8 8 10 13 15 15 13 9 7 5 5 6 6 5 4 4 4 4 3 3 4 6 8 11 11 9 8 7 6 5 4 4 5 6 6 6 7 6 5 6 6 5 5 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 8 9 9 9 8 7 5 4 6 8 7 4 2 2 4 5 6 7 6 3 1 0 2 4 7 9 10 9 3 -0 1 4 6 8 14 20 24 23 11 -5 -12 -11 -9 -6 -1 2 4 7 8 8 8 9 8 8 8 10 15 17 15 13 13 17 16 10 8 11 10 6 4 4 5 5 7 10 10 3 -2 -3 -3 -3 -2 -2 1 2 2 2 1 -1 -3 -6 -10 -7 -4 -4 -4 -1 2 3 5 8 14 22 22 15 8 5 3 2 3 3 7 11 10 8 8 9 9 9 7 5 5 8 12 12 8 10 11 8 8 10 12 14 16 17 14 10 7 7 9 11 11 9 7 7 8 8 7 6 4 4 4 5 12 15 9 4 6 7 8 8 8 8 7 7 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 5 5 4 3 3 4 5 6 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 7 7 8 7 7 6 5 5 5 4 4 3 3 4 3 3 4 7 9 8 7 6 4 4 4 4 4 3 6 8 7 6 6 5 4 4 6 6 5 6 6 6 7 7 8 10 11 12 11 11 9 7 6 6 7 8 6 8 11 13 13 9 7 6 6 7 7 8 9 9 9 7 6 5 4 4 4 5 5 6 7 9 10 12 13 15 16 18 17 16 16 16 17 16 12 8 6 5 4 5 4 4 5 5 5 6 6 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 5 6 5 5 6 5 4 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 5 6 6 7 8 8 9 9 8 8 10 11 12 13 12 9 8 6 5 5 5 4 4 3 4 4 4 4 5 7 11 13 14 11 8 6 5 4 4 5 4 5 6 5 5 5 6 7 7 6 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 4 4 5 8 7 5 2 2 3 4 5 7 8 6 2 0 2 6 8 9 10 8 3 -0 0 2 3 6 10 13 13 8 -11 -22 -17 -7 -3 -2 1 4 6 8 9 10 10 9 10 12 12 14 14 12 10 9 11 16 16 8 8 10 9 7 4 4 4 5 8 12 9 2 -2 -1 -2 -2 -0 2 5 7 5 3 1 -0 -2 -7 -13 -11 -6 -4 -2 1 3 5 5 8 15 20 16 9 10 10 3 -2 0 6 11 12 12 13 17 17 12 7 6 7 7 8 11 10 7 9 9 4 9 18 21 19 17 16 13 10 8 8 10 10 10 8 6 6 7 8 7 5 5 5 4 7 11 12 9 6 7 8 8 8 8 8 7 7 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 5 6 6 5 5 5 6 7 7 6 6 5 4 5 5 4 4 4 5 5 5 4 4 4 3 3 5 6 7 6 5 4 3 4 5 6 6 6 5 5 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 4 4 4 4 3 2 1 -0 2 5 6 6 5 5 4 3 3 3 4 7 10 8 7 6 4 3 5 7 6 6 6 6 6 6 7 7 8 9 9 9 10 9 8 7 7 7 7 6 8 12 13 11 8 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 5 5 6 8 9 10 11 12 13 15 18 21 22 22 23 25 24 20 16 12 8 6 4 4 4 5 5 5 6 6 6 6 6 6 5 4 4 4 4 5 4 2 3 3 3 3 3 3 4 5 6 6 6 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 17 14 10 8 4 4 10 17 20 14 11 10 12 10 10 9 10 10 9 13 16 18 16 11 6 10 14 16 18 17 11 -0 2 4 2 8 12 13 11 9 8 15 14 11 13 15 15 14 14 15 15 14 12 11 10 11 12 12 12 13 14 16 16 16 16 14 13 13 11 11 11 10 9 9 8 9 9 10 11 11 12 11 9 7 6 7 9 11 10 10 10 11 12 13 13 13 14 13 13 13 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 12 13 12 12 13 12 13 14 13 12 12 11 10 9 10 9 10 10 11 13 13 13 13 13 13 13 13 11 9 5 4 10 19 21 12 -1 4 21 23 21 17 14 12 13 13 13 13 14 14 13 13 13 14 14 13 12 13 13 13 14 14 13 12 13 14 13 13 13 12 11 12 13 15 15 14 13 13 13 14 16 18 18 16 16 16 17 16 15 16 14 13 14 16 16 14 14 14 16 19 19 16 15 14 14 14 15 16 15 15 15 16 16 16 17 17 16 16 16 16 16 17 17 17 16 15 16 15 15 14 12 10 10 14 17 15 13 13 13 13 14 15 15 14 14 14 14 15 14 15 15 15 15 15 15 16 15 15 15 14 14 14 13 13 12 12 12 13 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 9 9 10 11 11 12 12 12 14 15 14 13 11 11 10 10 10 10 9 10 10 9 10 10 10 10 10 10 10 11 11 11 11 12 11 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 13 15 18 18 16 14 13 14 15 15 15 14 12 11 10 11 11 12 12 13 12 12 12 13 13 14 15 12 9 7 9 11 13 13 12 12 12 13 13 13 11 6 3 6 14 20 24 23 21 19 17 16 15 15 14 14 14 13 13 13 13 15 15 14 13 13 12 12 12 14 14 15 15 15 14 13 12 13 13 14 15 14 15 15 15 15 16 17 17 16 15 13 13 13 13 14 14 14 15 15 14 12 12 13 14 14 15 15 16 16 16 15 14 13 11 11 10 10 nan
nan nan nan nan nan nan nan 19 20 15 12 7 7 11 15 15 12 10 13 17 18 19 17 13 10 10 12 15 18 18 16 11 6 3 2 2 5 8 8 8 6 10 14 14 14 15 16 15 15 15 14 14 13 11 10 11 12 12 12 11 12 12 12 13 13 13 13 12 11 11 10 10 9 8 8 8 8 9 10 10 11 11 11 11 9 7 7 8 10 10 10 11 12 12 13 14 13 13 12 12 11 11 12 13 13 13 12 12 12 12 12 12 12 11 11 10 11 11 11 12 12 12 13 14 15 14 13 12 11 10 10 10 10 10 10 11 12 13 13 13 13 13 13 13 12 11 10 12 14 17 16 10 6 6 12 17 19 16 14 13 13 13 12 13 14 14 13 13 14 13 13 12 12 13 13 13 13 13 13 13 12 13 13 13 12 12 11 12 14 15 14 14 13 14 14 15 16 17 18 17 16 16 16 15 15 14 14 14 15 15 14 13 12 10 12 20 22 17 16 16 16 15 15 15 15 14 14 15 15 15 17 18 17 15 16 15 15 16 17 17 17 16 15 16 16 16 14 10 8 10 14 14 14 14 15 16 18 20 19 17 15 14 13 13 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 14 13 12 13 13 13 13 13 13 12 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 11 11 12 12 12 11 11 11 10 10 9 9 9 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 13 12 12 13 13 12 12 13 13 13 13 15 17 17 14 13 13 14 15 15 15 13 11 10 10 11 11 12 12 11 12 12 11 12 11 12 13 14 13 12 13 16 19 19 14 12 12 13 12 13 14 12 10 10 16 23 28 25 18 16 16 15 15 15 15 13 12 13 14 14 13 13 14 15 15 14 13 12 13 13 14 14 14 15 14 14 14 13 14 14 14 14 14 15 17 18 17 15 14 14 14 14 13 13 13 14 14 15 15 15 15 14 13 13 13 13 13 14 15 15 15 15 14 13 13 12 11 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 13 11 10 14 17 19 18 16 15 15 12 12 15 14 11 11 11 12 13 9 6 5 8 11 13 14 13 12 12 14 16 17 17 15 14 13 12 11 11 10 11 12 12 12 12 10 10 10 11 11 11 10 10 10 10 10 9 7 7 6 8 8 9 10 9 10 11 11 11 10 8 8 7 8 9 10 11 13 14 15 15 15 14 12 12 11 11 12 12 12 11 12 12 12 12 12 12 13 12 11 10 11 11 11 11 12 12 12 13 15 16 14 13 12 11 10 10 10 11 12 13 13 13 13 13 13 14 12 8 10 15 17 16 14 14 12 12 11 8 9 15 18 16 12 12 12 12 12 13 14 13 13 13 13 13 13 13 12 13 14 14 13 12 13 13 13 13 13 13 12 12 12 13 15 14 14 13 11 8 10 16 26 28 21 17 15 15 15 15 14 13 14 15 16 16 14 13 12 10 10 15 18 16 15 15 15 15 14 14 13 14 13 13 13 12 14 16 16 15 13 12 12 13 14 15 15 13 13 13 14 16 17 17 14 12 13 15 15 14 14 13 16 19 21 20 17 15 14 14 14 14 15 14 14 14 14 14 14 14 14 15 16 15 15 14 13 13 13 13 13 12 12 11 11 11 11 10 10 10 9 9 11 11 10 11 11 11 11 11 10 10 11 11 11 12 12 12 13 13 11 9 10 10 10 10 9 9 9 10 10 9 10 9 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 13 13 12 13 13 14 14 16 16 15 12 13 15 15 13 11 10 8 6 8 10 12 12 11 11 12 11 11 11 11 11 11 13 15 17 19 20 20 20 18 14 13 13 13 12 13 14 14 15 16 18 19 20 17 15 14 14 15 15 15 14 13 13 14 14 14 14 14 14 15 15 14 13 13 13 14 14 14 14 14 14 14 15 14 14 14 14 14 14 16 18 18 17 14 12 13 14 14 13 13 14 14 14 15 15 14 14 14 14 14 13 13 14 14 14 15 15 15 14 13 13 13 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 11 13 15 14 14 9 7 10 21 22 12 8 7 11 14 14 13 11 10 10 14 17 17 15 13 12 11 11 11 11 12 13 14 14 13 11 8 8 8 9 10 10 9 8 8 9 9 8 7 6 7 8 8 9 9 9 10 11 11 11 11 9 8 7 8 9 10 12 13 14 16 16 16 14 13 12 12 11 12 12 11 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 12 13 13 13 15 15 14 13 11 10 10 11 12 12 13 14 14 13 13 13 14 14 11 7 10 16 18 17 14 13 12 12 12 11 11 13 15 14 12 10 11 12 13 14 13 13 13 13 12 13 14 14 13 13 14 14 14 13 13 13 13 13 13 13 12 12 12 13 15 14 13 13 10 4 0 6 22 35 34 29 21 15 13 14 14 14 14 15 16 17 16 15 15 14 13 13 13 13 15 16 15 15 14 15 14 13 13 12 12 11 11 13 15 15 13 12 11 10 11 14 15 14 13 12 12 11 16 20 17 15 15 15 15 14 12 7 5 8 13 17 18 17 17 16 15 15 15 15 14 14 14 15 15 15 15 15 15 14 14 14 13 13 13 13 12 12 11 11 11 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 10 10 10 10 9 9 10 9 9 9 9 9 10 10 9 9 10 9 9 10 11 10 10 11 11 11 11 12 12 11 12 12 12 12 12 12 11 11 11 11 12 12 11 11 12 12 12 13 13 13 12 12 13 13 13 14 14 14 15 15 15 14 14 15 15 13 10 7 5 6 8 11 11 12 12 11 11 10 11 11 10 10 11 12 14 17 20 23 22 18 15 14 13 13 14 14 13 13 14 15 15 14 14 14 14 14 15 15 14 15 15 14 14 13 14 14 15 14 14 14 14 14 14 13 12 12 13 15 15 15 15 15 14 13 14 14 14 14 14 13 14 16 19 19 15 12 11 13 14 14 13 13 14 14 15 15 14 15 14 14 13 14 14 14 15 15 15 15 15 15 15 14 13 13 12 12 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 9 12 21 20 13 5 8 11 14 14 10 8 9 13 16 15 14 12 11 10 10 10 11 14 15 15 15 14 12 10 7 7 7 8 8 8 7 6 8 9 10 10 9 8 9 9 9 10 10 10 10 11 11 11 12 10 7 7 7 9 10 11 12 13 15 16 15 14 13 12 12 11 11 12 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 14 15 14 13 12 10 10 11 12 13 14 13 13 13 13 13 14 14 14 13 12 12 14 15 14 13 13 12 12 13 14 13 13 12 12 11 10 11 13 13 14 14 14 13 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 12 12 13 13 13 13 14 13 13 12 8 2 -0 4 17 28 33 33 25 17 14 14 14 14 14 15 16 17 17 17 17 16 15 14 14 15 16 16 16 16 17 17 17 15 14 14 14 13 13 14 14 14 14 12 11 11 13 15 15 16 14 11 8 11 17 16 15 15 14 15 16 15 10 6 6 8 12 15 16 17 17 15 15 15 15 15 15 14 15 15 14 14 14 13 13 13 13 13 13 13 12 13 13 12 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 14 12 10 10 9 10 9 9 9 9 9 8 9 8 8 8 8 9 9 9 8 8 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 14 15 15 15 15 15 16 16 16 16 14 12 11 10 10 12 12 12 11 12 11 11 10 10 10 10 11 11 12 13 16 19 21 22 20 17 15 14 14 14 14 13 13 14 14 14 14 13 14 14 14 14 14 14 15 15 15 15 13 12 14 14 15 15 15 15 14 14 14 13 11 13 15 15 15 15 15 14 14 14 14 14 14 13 13 14 15 15 17 20 18 12 11 12 13 12 14 14 14 14 15 16 16 15 14 14 14 14 14 14 15 17 17 17 15 15 15 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 15 15 13 13 15 17 17 14 12 12 11 11 10 11 13 14 16 16 15 13 12 10 8 8 7 7 7 6 6 6 7 9 11 12 12 12 12 12 11 11 11 11 12 12 12 11 11 9 7 7 8 9 10 10 11 12 13 14 14 14 13 11 11 12 11 11 11 12 11 12 12 12 12 13 12 12 11 11 11 11 11 12 12 13 14 14 14 14 13 12 11 10 11 12 14 15 14 13 13 12 12 13 14 14 14 14 13 12 13 13 12 12 12 12 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 12 11 12 12 13 14 14 14 13 14 15 14 14 14 14 14 13 13 13 14 14 14 13 12 13 13 15 11 4 -0 1 9 20 36 36 22 15 14 14 14 14 14 15 16 17 17 17 17 16 15 14 15 17 16 15 15 18 24 27 23 18 19 18 16 16 15 14 13 13 14 12 11 12 13 15 16 15 13 12 12 15 16 16 15 15 14 15 16 16 13 10 8 8 9 11 13 14 15 14 14 14 15 16 15 15 15 14 14 13 13 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 12 13 12 12 12 11 12 12 12 13 13 13 13 14 15 15 14 12 11 10 10 10 10 9 9 9 9 8 9 8 8 9 9 9 8 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 15 16 17 18 16 15 14 13 13 12 12 13 13 12 12 11 11 11 10 10 10 11 11 12 13 13 15 17 19 22 22 20 17 15 14 13 13 14 14 14 14 14 14 14 13 14 15 15 14 14 14 14 14 15 14 13 13 13 14 14 14 15 15 15 15 14 13 13 14 15 15 15 15 14 13 14 14 14 14 14 14 13 13 14 16 17 19 18 15 14 12 12 13 15 15 14 14 14 15 15 14 15 15 15 15 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 13 12 11 12 12 13 14 15 15 14 13 11 10 9 10 10 8 7 7 6 6 7 9 11 13 14 15 14 13 13 12 12 12 11 11 11 11 11 9 8 8 8 9 10 10 11 12 13 13 13 13 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 11 11 12 12 12 12 13 14 14 15 15 14 13 12 11 11 12 13 15 15 14 14 13 12 12 12 12 12 13 13 13 12 13 13 12 13 12 13 12 12 13 13 13 12 12 13 13 13 13 13 13 13 13 13 12 11 12 13 14 14 14 13 13 14 14 14 14 14 13 13 13 13 14 13 13 12 12 13 13 13 14 13 10 3 -1 4 28 40 30 22 16 15 14 14 13 14 15 15 17 17 17 17 17 16 15 16 16 12 8 8 19 32 30 24 25 22 19 18 17 15 13 12 12 13 13 13 12 13 14 14 14 14 14 15 15 15 14 13 14 13 13 13 12 11 10 8 8 8 9 12 13 14 15 14 15 16 16 16 16 16 15 14 14 14 14 13 13 12 12 13 12 12 13 12 12 12 11 11 12 13 13 13 14 15 15 15 15 16 16 16 16 16 15 13 12 11 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 13 13 12 13 13 13 13 14 14 14 14 15 15 15 15 15 14 16 17 16 13 11 11 12 12 12 11 12 12 12 12 11 11 11 10 10 11 12 12 14 14 14 16 18 21 23 23 21 17 14 13 13 13 13 13 14 14 14 13 13 14 14 14 15 14 14 14 13 13 13 14 14 14 14 14 14 15 14 14 14 15 14 14 15 15 15 15 15 15 14 14 14 13 14 14 14 14 14 13 13 14 16 18 18 16 15 13 13 13 14 15 14 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 14 16 16 15 15 15 17 18 19 17 13 8 8 10 10 9 10 13 16 19 22 23 23 24 24 23 22 18 16 14 12 12 11 10 7 5 7 8 8 6 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 6 6 6 6 6 7 7 7 7 6 6 4 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 29 41 40 35 30 25 18 11 4 1 2 5 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 1 1 3 3 2 1 3 6 4 4 4 5 10 22 20 21 22 22 21 23 23 20 18 18 20 20 21 24 25 23 18 13 10 8 5 10 16 21 34 44 49 54 56 44 14 1 6 32 54 54 31 7 2 15 37 51 53 41 31 24 12 2 0 0 0 0 0 0 0 0 0 0 0 4 10 11 10 8 7 6 5 6 16 24 34 35 41 36 18 17 14 11 6 2 0 3 6 4 2 2 2 4 30 58 61 72 79 94 110 111 103 90 81 76 75 84 102 122 130 128 119 105 93 86 91 102 101 92 95 111 127 130 120 108 107 112 115 108 102 106 111 110 103 96 94 98 95 91 95 101 102 98 94 94 110 129 142 137 128 125 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 10 11 13 15 16 15 17 18 20 20 17 12 9 8 8 7 7 9 12 17 22 24 24 23 21 18 14 10 8 7 7 8 8 8 7 5 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 6 6 6 6 7 8 8 6 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 36 44 39 33 28 23 18 12 7 4 7 12 10 2 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 6 5 4 5 11 18 21 22 19 14 13 16 17 14 14 16 20 22 25 26 25 21 17 12 6 2 0 11 20 28 38 47 58 67 65 52 26 10 12 32 55 57 39 12 0 5 19 32 33 31 30 28 21 9 1 0 0 0 0 0 0 0 0 0 0 2 7 11 8 2 1 0 0 0 0 0 2 8 15 14 12 16 19 16 17 12 2 1 3 0 0 3 6 20 32 63 51 62 71 92 107 112 107 86 73 74 68 79 105 126 132 128 121 109 96 89 89 92 94 94 101 115 129 138 136 124 119 124 124 117 111 110 112 112 106 98 92 92 88 81 84 95 106 109 106 110 131 153 158 147 136 130 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 9 10 12 14 14 15 16 17 18 18 16 11 9 10 10 10 10 11 16 23 26 24 21 18 13 8 5 4 3 3 3 4 4 4 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 7 7 8 7 4 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 38 40 36 31 26 21 17 14 10 10 15 19 13 4 1 0 1 2 1 1 2 3 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 2 5 5 3 4 5 10 15 16 14 10 5 2 6 6 6 12 19 23 25 26 26 24 19 15 8 2 0 1 10 23 35 43 49 63 80 78 61 43 31 28 37 54 58 44 22 6 2 8 16 18 20 22 23 24 18 7 2 1 1 1 0 0 0 0 0 0 0 3 10 6 0 0 0 0 0 0 0 0 0 2 1 1 4 10 15 26 27 18 11 14 9 6 12 23 42 49 59 59 64 64 68 76 83 85 67 61 72 66 69 100 128 132 127 120 112 103 98 95 93 89 88 92 102 114 122 123 118 116 119 121 118 115 108 100 96 97 98 100 102 99 87 81 87 101 112 118 131 155 177 180 163 143 132 128 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 9 9 9 10 12 13 14 15 15 15 14 12 11 12 14 14 13 12 14 20 22 22 18 14 9 7 4 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 6 4 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 23 35 34 31 29 27 22 20 18 16 18 25 26 19 8 5 4 4 5 4 4 6 8 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 7 11 12 13 10 6 1 0 0 1 7 23 34 33 28 25 23 21 16 13 5 0 0 4 11 21 34 44 49 60 73 74 64 52 42 37 40 52 56 45 30 18 13 14 14 15 15 17 18 19 16 13 10 7 5 6 3 0 0 0 0 0 0 0 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 20 32 32 28 25 19 15 17 30 45 50 56 59 57 53 45 40 50 65 72 76 86 83 80 98 124 133 130 124 116 108 101 102 102 98 92 90 92 98 106 109 105 104 104 104 104 102 94 82 73 72 78 87 98 106 104 92 86 94 108 122 137 159 183 191 179 158 139 131 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 9 9 9 9 9 9 10 11 12 13 12 11 10 10 11 13 14 14 13 12 13 16 17 16 14 11 8 6 5 4 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 8 23 30 27 25 27 28 26 26 25 26 30 35 34 28 18 13 11 8 6 6 9 11 12 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 12 11 10 6 2 0 0 6 22 41 49 39 27 22 21 18 16 14 8 2 0 4 11 17 26 37 46 52 57 58 54 51 47 44 45 51 54 44 34 24 15 16 16 16 17 18 18 18 17 15 14 14 14 14 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 26 37 37 30 20 13 8 14 30 37 37 48 47 55 61 50 34 48 78 96 108 98 89 99 112 121 129 128 123 114 103 103 107 106 104 104 108 109 110 105 100 97 96 94 91 87 77 64 55 52 54 60 73 90 106 106 94 94 103 116 132 149 172 187 189 178 152 135 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 9 10 10 10 9 8 8 8 9 10 10 9 8 8 9 9 10 12 13 14 14 15 15 14 14 12 10 8 7 6 5 4 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 22 25 21 20 24 27 29 32 34 37 40 43 43 39 31 22 17 12 8 9 12 14 14 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 15 14 12 11 10 5 1 3 17 38 48 42 28 21 20 19 18 17 15 11 5 0 2 8 14 22 33 42 44 46 46 46 46 46 47 49 52 52 43 34 29 23 15 14 16 18 18 18 17 16 16 16 16 16 16 16 14 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 30 43 38 21 8 3 1 10 19 15 30 44 62 90 85 59 55 78 105 117 99 93 99 100 103 113 121 122 119 108 102 105 108 114 124 134 138 128 114 104 100 97 94 87 79 68 56 44 36 35 38 46 60 78 93 99 101 104 110 125 141 159 166 176 189 160 140 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 7 8 10 10 9 9 9 8 7 7 8 8 8 8 7 8 8 8 10 12 14 16 16 15 15 15 14 13 11 9 7 6 5 4 3 2 2 2 2 1 1 0 0 0 0 0 1 1 1 1 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 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 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 2 11 20 21 17 17 19 23 28 35 41 46 48 50 52 50 42 30 21 14 10 12 14 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 20 18 15 18 20 15 9 13 30 42 39 26 18 17 18 19 18 18 16 14 8 2 2 5 12 20 31 39 40 40 39 39 38 40 44 51 56 53 44 35 30 26 15 12 14 17 18 16 14 12 11 12 12 14 14 14 12 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 32 37 25 16 8 0 1 4 4 21 41 61 102 108 94 94 105 128 129 107 104 102 96 93 103 114 117 116 110 104 105 109 120 138 155 157 140 122 110 105 101 95 85 76 68 59 51 41 36 35 34 37 47 63 82 97 104 108 120 134 146 144 154 168 157 141 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 7 6 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 10 12 13 14 15 15 15 14 13 12 10 8 6 6 5 4 3 2 2 1 1 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 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 17 17 14 13 14 16 22 31 41 48 53 57 59 57 48 33 22 15 12 13 15 12 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 2 9 17 21 18 13 19 28 29 24 26 31 29 22 16 16 17 18 18 17 16 16 16 12 5 3 2 6 16 27 35 39 38 36 32 30 30 35 44 53 54 48 38 31 25 13 11 13 15 16 14 10 5 1 3 3 6 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 17 17 13 6 0 0 0 0 6 16 60 96 111 106 109 121 136 141 127 117 106 98 97 106 118 120 116 110 105 105 109 122 144 160 158 138 119 110 106 101 94 83 76 75 74 74 71 64 59 54 46 42 46 59 78 91 101 111 121 130 129 136 151 148 136 130 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 12 8 6 6 8 8 8 8 9 8 7 6 6 6 6 6 6 7 7 8 8 9 10 12 13 14 14 14 13 12 10 8 7 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 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 3 11 15 13 10 8 8 9 14 22 32 41 48 54 57 54 44 29 19 15 13 14 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 20 15 10 12 22 31 31 28 22 15 9 8 12 15 14 14 13 12 12 15 11 7 5 1 1 9 18 27 35 37 33 28 24 22 24 28 36 43 46 42 35 25 14 12 13 14 13 10 6 2 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 13 12 5 0 0 0 0 0 1 25 71 98 93 86 102 130 147 147 135 115 100 100 110 124 130 128 120 112 106 108 119 141 152 144 122 109 105 104 98 91 82 79 85 93 98 100 99 95 91 84 73 62 59 65 75 85 95 107 116 114 116 130 137 133 129 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 12 9 7 6 7 7 6 7 8 9 8 6 6 6 6 6 5 5 6 6 6 6 7 8 10 11 12 12 12 11 9 8 8 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 10 6 4 3 4 6 12 20 27 35 41 44 42 33 23 17 15 14 13 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 17 18 15 9 6 9 18 24 21 13 4 2 2 3 4 4 6 7 6 7 10 8 7 6 2 0 2 9 18 27 29 28 25 20 17 15 14 17 24 30 36 36 31 22 17 14 13 11 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 1 7 10 5 1 0 0 0 0 0 8 48 84 78 53 59 100 138 155 151 129 103 98 106 122 130 130 126 120 110 107 112 129 137 130 114 103 99 96 88 82 81 85 97 109 116 117 114 114 117 119 114 100 83 74 72 75 84 99 109 104 99 115 134 135 129 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 10 10 9 7 5 6 7 6 6 7 9 9 8 7 6 6 6 6 5 4 4 4 3 3 5 6 8 9 10 10 10 10 10 9 8 8 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 2 8 10 7 3 1 1 1 2 4 8 13 20 26 29 28 24 19 16 13 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 15 13 9 4 4 8 14 13 6 0 0 0 0 0 0 2 5 6 6 6 7 7 6 1 0 0 2 7 15 19 21 20 17 13 9 6 4 7 12 17 23 28 29 25 19 15 11 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 3 6 3 1 0 0 0 0 0 0 25 64 68 39 27 65 113 145 154 141 116 103 101 112 122 123 123 121 113 107 107 114 120 120 112 102 95 87 78 73 78 89 104 119 126 124 116 116 122 129 129 121 104 90 83 80 84 98 111 98 84 105 136 141 133 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 9 9 8 7 6 6 6 6 6 6 8 9 8 7 7 6 6 6 6 5 4 3 2 2 3 4 4 5 6 7 8 9 10 10 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 4 1 0 0 0 0 0 2 4 9 14 18 20 18 16 13 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 13 13 10 6 5 8 12 10 5 1 1 0 0 0 0 0 1 1 3 3 4 4 5 1 0 0 0 0 2 9 12 14 14 11 6 2 0 1 2 2 6 12 18 21 20 18 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 1 3 6 5 0 0 0 0 0 9 37 59 40 20 44 85 120 142 143 131 110 100 104 114 123 129 128 118 112 108 103 102 106 106 99 90 81 73 69 74 85 103 121 130 126 115 110 114 119 116 103 96 85 81 86 92 104 113 96 79 97 130 145 140 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 10 8 7 6 6 7 7 6 5 6 8 8 7 6 5 5 5 5 4 3 2 1 0 1 2 2 3 3 4 4 5 6 6 7 7 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 2 0 0 0 0 0 0 0 1 3 7 11 13 13 11 8 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 9 9 8 11 16 17 14 10 4 4 3 2 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 3 4 7 8 8 6 2 0 0 0 0 0 1 5 9 12 14 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 5 15 13 0 0 0 0 0 1 12 48 53 40 46 72 100 123 130 124 108 100 101 109 121 131 135 129 123 117 107 97 95 96 91 83 77 71 68 69 76 93 117 134 132 115 105 106 105 95 79 73 68 65 75 91 108 112 97 82 94 128 149 146 138 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 7 7 6 6 6 7 7 6 5 6 7 7 5 4 4 3 3 3 3 2 1 0 0 0 0 0 1 1 1 2 1 2 2 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 2 5 6 7 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 5 7 13 17 18 15 13 6 8 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 0 0 0 0 0 0 1 3 6 9 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 20 3 0 0 0 0 0 0 20 37 49 57 71 92 112 124 117 103 94 95 105 116 124 129 128 128 127 119 109 100 94 86 79 75 69 66 65 68 78 104 132 141 125 108 101 94 81 65 62 64 66 73 92 116 120 104 90 95 123 143 143 140 143 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
nan nan nan nan 0 1 3 4 4 5 6 6 6 5 4 5 7 7 6 4 3 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 1 2 2 3 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 1 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 12 11 13 12 16 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 15 1 0 0 0 0 0 0 3 12 42 62 70 82 104 129 137 119 97 91 99 109 112 113 117 122 127 127 124 117 104 92 84 81 72 66 65 63 67 86 117 142 140 121 103 90 77 67 68 76 87 91 99 121 127 112 100 101 118 136 137 140 147 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
nan nan nan nan 0 0 0 1 1 3 5 6 5 3 1 2 5 6 6 5 4 3 2 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 8 4 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 6 7 9 11 14 15 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 0 0 0 0 0 0 0 0 1 28 59 67 70 89 124 152 146 118 100 99 104 102 102 105 111 118 124 128 125 116 102 89 83 76 67 64 61 60 68 95 132 148 136 115 95 79 73 78 88 105 114 109 121 124 112 103 104 124 135 135 140 148 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 0 0 0 0 0 1 4 5 4 2 0 1 2 3 4 4 4 4 3 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 10 10 5 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 5 5 6 6 6 7 8 8 8 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 2 5 4 3 2 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 1 1 0 0 0 16 49 64 61 74 110 143 153 143 121 106 98 95 93 98 103 109 115 124 129 126 111 91 78 72 66 64 62 58 60 76 107 134 142 130 111 89 80 88 96 112 131 113 116 110 102 103 116 133 136 133 136 143 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
nan nan nan nan 0 0 0 0 0 0 0 2 2 2 2 3 2 1 1 2 2 3 3 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 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 2 5 6 9 13 13 7 3 2 2 3 2 0 0 0 0 2 3 3 4 4 4 5 5 5 5 5 5 5 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 6 9 9 8 7 4 0 0 1 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 10 17 11 0 0 1 18 53 64 56 65 104 134 142 152 139 119 103 102 101 104 108 110 110 118 130 134 122 98 80 69 64 64 64 62 60 62 82 117 139 138 136 104 84 95 105 117 128 119 111 107 107 116 134 148 144 136 134 136 140 nan nan nan 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 2 6 9 8 2 0 0 1 1 1 1 0 0 0 0 2 3 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 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 1 3 6 9 14 23 23 13 7 6 7 7 6 3 1 1 2 4 4 3 2 2 3 3 4 4 4 3 2 1 2 3 5 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20 20 12 11 13 13 14 13 8 2 1 4 10 4 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 9 34 57 60 29 2 0 0 9 55 67 57 66 107 132 135 148 148 137 124 120 123 124 123 119 112 113 125 137 133 112 88 72 65 63 67 68 66 56 60 93 126 140 147 126 105 99 105 115 122 121 121 126 134 143 152 154 149 145 143 143 143 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 nan nan 5 4 4 4 2 1 0 0 0 0 1 5 11 13 7 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 12 18 30 28 15 10 9 9 9 8 7 4 4 4 4 4 2 1 0 0 1 2 3 2 1 0 0 0 2 4 6 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 2 8 15 19 23 20 17 23 28 25 27 23 9 4 8 19 18 5 0 0 1 0 0 0 0 0 0 0 4 8 7 2 0 0 0 2 20 60 93 91 40 1 0 0 9 50 67 66 75 109 133 136 141 147 144 140 140 142 139 135 128 118 112 118 134 139 127 103 82 66 61 67 71 71 62 58 72 102 133 151 147 129 112 104 104 108 116 126 139 150 155 156 154 152 155 153 147 147 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 nan nan 7 10 13 12 9 6 3 1 0 0 0 1 7 13 11 5 2 0 0 0 0 0 0 0 0 1 2 3 4 3 1 0 0 0 0 0 0 0 0 0 2 3 3 2 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 1 2 2 3 3 4 5 5 5 6 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 2 6 10 12 16 24 21 12 9 9 9 10 9 8 6 6 6 5 5 4 2 1 0 1 2 2 2 1 0 0 0 2 4 6 7 9 10 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 18 20 20 28 48 56 49 46 32 12 12 31 36 18 4 0 0 4 6 3 1 0 0 0 0 3 11 14 7 0 0 0 4 25 66 97 90 42 2 0 0 9 45 65 72 80 108 132 133 134 140 140 138 137 136 133 133 129 120 115 116 125 135 133 118 100 78 63 64 71 76 74 70 66 81 113 142 156 155 142 125 110 100 100 113 133 150 157 155 150 148 152 152 146 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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