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 11 10 8 8 7 6 5 5 5 5 6 6 6 5 5 5 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 2 2 1 2 1 2 2 2 2 3 3 3 2 2 1 1 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 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 4 4 4 4 5 6 7 7 8 8 7 7 8 7 7 7 6 5 4 4 4 4 4 5 6 6 7 7 6 6 6 6 5 5 5 4 3 2 1 2 6 8 7 6 5 2 0 5 5 3 2 3 2 6 9 5 6 5 6 9 11 7 0 -3 -1 0 3 6 5 3 2 4 11 12 7 2 2 10 11 4 -2 -3 -1 1 -0 3 10 7 2 -0 -2 -2 -1 2 5 4 3 5 4 5 5 3 0 1 3 4 13 32 40 27 12 7 4 4 4 4 3 3 2 2 3 4 5 7 8 9 11 14 17 21 20 15 11 7 4 3 2 2 2 2 2 2 2 3 3 4 4 4 4 3 3 4 5 5 5 5 3 4 4 4 4 3 4 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 4 4 5 5 4 5 5 6 7 6 5 5 5 4 4 5 4 3 3 3 3 4 5 6 6 5 6 8 10 10 8 6 4 3 2 3 4 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 8 15 19 14 10 10 13 13 7 2 -1 -6 -8 -2 2 2 6 7 4 4 3 2 -0 -3 -6 -6 -6 -7 -6 -2 2 5 6 6 6 7 8 10 12 14 13 10 10 11 12 11 10 9 8 9 9 8 8 9 11 12 11 10 9 8 9 8 7 5 4 3 1 1 3 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 nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 8 10 11 10 9 9 8 6 5 5 5 6 7 7 6 6 5 5 5 4 3 3 3 3 4 4 3 3 2 2 2 2 2 3 2 2 2 2 3 2 2 2 2 2 1 2 2 2 3 3 2 3 2 2 2 1 1 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 8 8 8 7 7 7 6 5 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 3 2 2 1 3 9 12 6 5 7 3 2 2 3 3 1 2 0 1 3 5 7 8 8 10 15 14 7 2 -1 0 4 8 7 5 4 4 9 13 10 5 2 4 5 3 2 -1 -2 -1 0 2 6 5 1 -0 -1 -3 -2 1 5 5 3 3 2 3 5 7 8 8 11 18 28 36 32 17 7 5 4 4 4 3 3 3 3 3 4 5 6 7 8 8 10 11 14 18 20 18 13 8 5 3 3 2 3 2 2 2 3 4 4 4 4 4 4 3 3 3 4 3 3 4 5 5 5 5 4 4 5 5 6 5 5 5 4 4 4 4 5 5 5 4 4 4 2 -1 1 3 3 3 4 5 5 6 6 6 5 5 6 5 4 4 4 4 3 2 3 3 4 5 6 6 6 6 8 10 11 9 7 5 4 3 3 4 4 4 4 5 5 5 5 6 5 5 5 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 5 5 5 4 5 5 5 5 4 5 8 13 16 14 12 11 13 12 10 9 5 2 2 3 5 7 7 7 8 6 2 1 1 1 -2 -3 -3 -5 -4 0 5 6 6 5 4 5 7 8 10 9 6 6 7 9 10 10 9 9 8 7 7 6 7 8 10 11 11 9 9 9 9 8 6 4 3 1 1 2 4 6 7 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 9 10 9 9 8 7 6 5 5 6 8 8 8 7 6 6 5 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 2 2 3 3 2 2 2 2 1 1 1 2 2 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 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 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 8 9 9 9 9 9 9 8 7 7 6 6 5 5 5 4 4 5 6 7 6 6 6 6 6 6 6 5 4 2 2 2 3 7 12 10 3 2 6 4 4 2 0 1 3 4 -0 -3 -1 4 5 5 3 4 10 13 10 5 1 2 5 5 5 7 7 8 11 15 14 9 4 1 -0 -0 3 6 6 4 3 1 3 7 5 1 -1 -3 -3 -0 5 6 2 0 1 3 8 12 15 17 21 30 37 34 20 9 6 5 4 4 4 3 4 3 3 3 4 5 6 6 8 8 8 8 11 14 18 19 16 11 7 5 3 3 3 3 3 3 4 5 5 4 4 4 3 2 3 4 3 2 4 5 5 5 5 5 4 4 5 6 5 5 5 5 5 5 4 5 5 5 5 5 4 4 3 -2 -4 1 2 0 0 5 7 6 5 5 4 5 6 6 5 4 4 3 3 2 3 3 4 5 6 6 6 6 7 10 10 9 7 6 5 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 6 10 12 13 11 9 9 8 8 6 5 5 7 7 5 5 5 7 7 4 2 3 6 4 3 4 2 0 2 5 7 6 5 4 5 5 6 6 6 5 4 5 6 7 7 7 7 7 6 5 5 5 5 6 8 9 9 9 9 9 7 6 4 3 3 2 2 4 7 9 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 nan nan nan 6 5 6 7 8 8 8 9 9 9 7 6 5 5 7 8 9 9 8 7 7 6 5 5 5 4 4 4 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 1 2 2 2 3 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 7 7 8 9 9 9 8 9 9 9 7 7 7 7 6 6 5 5 5 5 6 7 6 6 6 6 6 6 6 5 4 3 2 1 -1 2 9 8 1 1 6 6 5 7 4 1 7 10 4 -4 -2 3 2 0 -2 -3 0 4 4 3 2 3 2 2 4 8 10 12 14 17 17 12 9 6 2 -1 3 11 13 11 8 5 7 11 10 4 -1 -3 -3 2 7 6 2 1 3 7 11 16 21 25 31 37 36 23 10 6 5 4 4 4 3 4 4 3 3 3 4 5 5 6 7 8 8 8 8 11 15 18 18 15 11 7 5 3 3 4 4 4 5 5 5 4 4 4 3 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 5 4 4 1 -5 -3 2 2 1 4 7 7 5 4 4 5 6 6 5 4 3 3 3 2 2 3 4 5 5 6 6 6 6 8 8 8 7 7 6 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 6 9 10 6 5 5 5 4 4 4 8 10 7 4 3 4 6 7 6 6 7 6 6 7 5 3 3 6 7 7 5 4 4 5 6 5 5 5 4 4 4 5 5 5 5 6 5 5 5 4 4 5 6 7 8 8 8 8 6 5 4 4 3 3 4 9 14 13 8 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 5 5 6 7 7 8 8 9 9 8 6 5 6 7 8 9 9 9 8 7 6 6 6 5 5 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 2 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 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 3 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 7 7 7 8 9 8 8 8 9 10 9 8 7 7 7 7 6 5 5 5 5 6 7 7 7 6 6 7 6 6 5 4 3 2 0 -5 -6 2 8 7 8 8 5 7 10 9 4 6 9 6 -0 -0 4 3 1 -0 -3 -4 -4 -3 -2 0 2 3 4 8 12 13 13 13 16 16 12 9 7 5 3 3 8 13 13 12 13 11 12 11 7 3 1 1 4 6 5 5 6 8 10 14 19 25 30 35 34 24 12 5 5 4 4 4 4 4 4 3 3 3 4 4 5 5 6 7 7 7 7 7 8 11 15 17 16 13 10 8 6 5 5 5 5 5 5 5 5 4 4 3 3 4 5 4 5 5 7 6 5 5 5 5 5 5 4 4 5 5 6 5 5 6 6 6 6 7 6 5 5 4 2 -2 -5 -1 7 8 7 7 6 4 3 5 6 6 5 5 4 4 4 4 3 3 3 4 5 6 6 6 7 6 6 7 6 7 7 7 7 6 5 4 3 3 3 3 3 3 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 0 -1 -1 -0 1 1 1 1 2 4 6 6 4 4 4 4 3 3 6 10 10 6 5 4 4 8 9 10 11 11 7 5 4 3 3 5 6 6 5 5 4 5 5 6 6 6 6 6 4 4 4 4 5 5 4 4 5 5 5 5 6 7 7 8 8 8 7 5 4 3 2 1 4 19 28 17 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 5 5 5 4 5 5 6 6 6 6 8 10 8 7 6 7 7 7 7 8 8 9 8 7 6 6 6 6 6 5 5 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 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 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 6 7 7 7 7 8 8 7 7 8 9 10 9 8 7 7 7 7 7 6 5 5 5 6 7 7 7 6 6 6 7 6 6 5 4 3 2 -1 -0 5 8 8 10 6 4 9 10 10 6 2 2 4 3 2 6 5 2 2 1 -1 -3 -1 -1 0 3 7 10 14 13 10 9 9 10 12 10 6 1 3 3 1 5 10 10 10 11 8 6 8 8 9 7 6 6 6 7 9 10 10 10 15 21 25 29 28 21 11 6 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 6 6 7 7 7 6 7 8 10 13 14 14 13 11 9 8 6 6 6 6 5 4 4 4 4 4 4 5 5 5 5 7 8 7 5 4 4 5 4 5 4 4 5 5 6 6 6 6 6 6 7 7 7 6 5 4 3 2 -2 -3 3 10 10 8 5 3 4 6 7 7 6 5 4 4 4 4 4 4 3 4 5 5 6 6 7 7 6 6 6 6 7 8 8 8 6 4 3 3 4 3 3 3 3 4 4 4 5 5 6 6 6 5 5 5 4 5 5 4 4 4 5 5 4 3 2 1 1 -0 -1 -2 -3 -3 -1 0 -0 1 2 3 4 4 3 3 4 4 3 4 6 8 8 8 5 5 9 9 10 13 14 7 3 3 3 2 3 4 4 4 4 4 4 4 6 6 7 8 8 6 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 8 8 7 5 3 2 -0 5 21 30 21 8 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 4 4 4 5 6 6 5 5 6 7 8 7 7 7 7 6 6 6 7 8 9 8 8 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 6 7 7 7 7 8 8 7 7 8 10 11 10 9 8 7 7 8 8 7 6 5 5 6 7 8 8 7 7 7 7 6 6 5 4 4 3 4 7 11 9 6 7 6 6 9 7 6 4 2 2 4 5 5 7 5 2 3 5 4 3 3 3 3 5 9 13 12 7 4 5 5 4 6 9 6 1 -1 -0 -0 5 8 8 5 6 5 2 4 6 10 11 7 7 8 10 10 9 8 8 13 19 22 23 19 10 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 7 7 8 9 11 12 13 12 11 9 8 6 6 5 4 5 5 4 4 5 5 5 5 5 6 6 7 7 6 4 5 5 5 6 6 6 6 6 7 7 7 6 5 6 6 7 7 6 5 5 6 6 5 -0 -3 1 7 7 5 4 4 5 6 6 6 6 5 4 4 5 5 4 4 4 5 5 5 6 7 7 7 6 6 6 6 7 8 10 8 5 3 4 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 5 4 2 2 2 2 -0 -1 -1 -0 2 2 3 3 3 3 4 3 2 4 5 5 4 4 3 3 4 3 7 9 8 9 10 11 8 4 3 3 2 3 4 4 2 2 3 3 4 5 7 9 9 9 6 4 4 4 3 4 4 4 5 5 7 7 8 9 9 9 8 8 8 8 6 4 3 1 5 15 24 20 10 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 4 3 3 4 5 6 5 4 5 5 6 6 5 6 6 7 7 6 7 7 8 8 8 7 7 7 6 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 3 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 3 4 5 4 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 8 8 7 8 9 11 10 9 8 8 8 8 8 8 8 6 5 5 6 7 8 8 7 7 7 7 6 5 5 4 4 4 4 5 8 10 10 12 13 10 8 4 3 4 5 5 6 6 7 8 5 2 4 7 7 5 5 5 5 6 8 9 6 2 2 4 5 1 1 8 12 7 1 -1 4 8 5 1 3 9 8 5 2 5 8 8 6 7 11 11 8 6 6 9 13 16 19 19 12 6 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 6 6 6 6 6 6 7 6 7 7 9 10 11 11 10 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 9 7 5 6 6 7 7 8 8 7 7 7 8 9 8 6 6 6 7 6 6 6 6 7 8 8 5 -0 -2 1 4 3 3 4 4 4 4 6 6 6 5 4 5 5 4 4 4 5 5 5 5 6 8 8 7 7 6 6 6 8 10 10 8 5 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 5 5 5 5 6 7 7 6 4 3 5 5 3 2 2 3 4 5 5 5 5 4 4 4 3 4 5 6 6 4 2 -1 -2 1 6 7 7 8 9 10 10 7 5 3 3 3 4 4 3 2 -1 0 3 5 7 9 10 9 6 4 4 4 4 4 5 5 6 6 6 8 9 10 11 11 12 10 10 9 8 6 4 4 4 10 16 15 9 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 3 4 4 3 2 2 3 5 4 4 4 4 5 5 5 4 4 5 5 6 6 6 6 7 7 7 6 6 5 5 5 5 4 4 3 3 3 2 2 2 2 2 1 2 2 3 3 3 3 4 3 3 4 4 4 4 3 3 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 4 4 3 4 4 3 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 7 7 6 7 7 7 8 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 7 7 7 6 5 5 4 3 4 3 3 4 7 13 17 14 9 6 4 4 7 8 6 5 6 8 7 4 3 5 8 8 7 6 6 6 8 7 6 3 1 3 5 4 1 -0 7 16 14 7 2 7 8 3 -0 5 7 7 7 3 7 8 4 4 5 10 11 7 5 7 11 14 16 18 15 8 5 5 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 5 6 6 6 6 6 6 6 5 6 7 8 8 9 10 9 7 6 6 5 5 5 5 5 5 4 5 4 5 4 5 6 7 8 11 12 11 9 8 7 7 8 8 8 7 7 8 9 10 10 8 7 7 5 6 7 7 7 8 7 6 3 -1 -1 1 1 2 2 2 2 3 4 5 5 5 5 6 5 5 5 4 4 5 4 4 5 7 8 7 6 6 5 6 7 8 8 9 7 5 4 3 3 3 2 2 2 3 3 3 4 4 4 5 5 6 6 6 6 5 5 5 5 5 7 8 8 8 5 4 5 5 4 3 3 4 5 6 6 5 4 4 5 5 5 5 5 5 7 6 1 -2 1 4 6 6 6 7 9 10 10 7 4 3 3 4 5 5 3 1 -2 0 4 6 8 8 8 6 4 3 4 4 4 5 6 6 6 6 8 10 10 12 16 18 18 18 16 13 9 6 5 6 8 9 8 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 4 4 4 2 2 3 3 3 3 2 3 4 4 4 3 3 3 3 4 4 5 5 5 6 6 6 5 5 5 5 5 4 4 3 3 3 2 2 2 2 1 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 8 7 7 7 8 8 8 8 7 7 6 6 5 6 8 8 9 8 8 7 6 6 5 5 4 3 3 3 4 4 6 11 12 7 5 5 4 2 4 6 4 3 5 7 5 4 5 7 9 11 9 9 8 8 9 8 6 2 2 3 4 4 4 2 7 15 17 11 5 6 7 4 5 9 5 2 3 3 7 8 6 6 7 9 8 5 5 7 10 12 15 16 10 5 4 4 4 3 4 4 5 4 4 4 3 3 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 7 8 8 8 8 7 6 6 6 5 5 5 5 4 4 4 4 4 3 4 6 7 9 11 15 17 15 13 12 10 9 9 8 7 7 7 9 10 11 11 9 7 6 6 7 7 6 6 7 6 4 1 1 1 0 0 1 1 2 2 3 4 4 5 5 5 6 7 5 4 4 4 4 4 5 6 7 6 5 4 4 4 6 7 7 8 8 8 6 6 5 3 2 2 1 2 3 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 5 6 8 10 9 6 5 4 4 4 3 4 5 5 5 5 5 5 5 6 7 6 4 5 7 8 5 2 2 4 5 5 4 4 6 8 10 9 6 4 3 4 6 7 5 4 3 1 3 5 7 7 6 5 4 3 4 4 5 5 6 6 6 7 9 9 10 12 18 24 28 27 23 19 15 11 8 7 6 6 7 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 5 4 5 4 2 1 3 4 3 2 2 2 3 3 3 2 2 1 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 2 2 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 7 7 8 8 8 7 7 6 6 6 6 7 8 9 9 9 7 6 6 6 5 5 4 3 3 4 4 6 9 13 11 6 3 3 3 3 3 4 4 5 5 4 3 6 8 7 7 8 11 11 11 9 9 9 6 3 2 3 3 5 7 5 6 11 14 9 5 4 3 4 8 10 5 3 2 1 1 4 8 11 12 10 6 3 3 4 6 9 13 13 7 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 7 7 6 5 5 5 5 6 7 8 8 7 7 7 7 6 6 5 5 4 4 4 3 3 3 2 2 4 6 7 9 11 14 16 16 15 14 12 10 10 10 10 9 8 8 9 10 9 8 7 5 5 6 6 6 8 7 5 5 5 3 2 1 1 1 1 2 3 4 5 4 4 5 6 7 6 5 5 4 4 4 3 5 5 5 4 3 1 1 3 5 6 6 7 8 8 8 7 6 5 3 1 1 2 3 4 4 4 4 5 5 5 5 5 4 4 3 2 2 3 5 5 8 9 7 5 5 5 4 4 4 5 5 5 5 5 5 4 5 7 7 5 5 7 8 6 4 4 4 4 4 4 4 4 6 8 9 8 6 5 4 5 7 6 5 5 3 3 5 5 6 6 5 4 3 3 4 5 5 5 6 6 7 9 10 10 11 15 22 27 25 23 23 23 19 14 8 4 7 9 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 6 5 6 5 2 1 2 4 4 2 1 2 2 3 3 2 2 1 1 1 1 2 3 3 3 3 4 4 4 4 4 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 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 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 5 5 5 5 4 5 6 5 5 4 5 5 6 6 6 7 7 7 7 7 6 6 6 7 8 8 8 7 7 7 6 6 6 6 6 8 9 9 10 8 6 6 6 6 5 4 3 3 4 4 9 15 19 15 9 4 2 3 4 4 6 6 5 5 4 4 8 10 7 3 3 8 11 11 9 8 7 5 3 2 4 3 5 6 5 6 8 9 4 -0 2 4 5 8 6 3 5 5 5 1 1 7 12 14 11 6 2 1 3 5 8 13 11 5 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 6 7 7 5 4 4 4 5 6 7 7 7 7 7 7 7 6 5 5 3 3 3 3 3 2 2 2 3 3 4 5 6 7 8 10 10 11 11 11 11 12 11 11 10 9 7 6 7 7 7 7 7 8 10 10 10 9 7 7 7 6 4 3 2 2 2 3 3 4 5 4 4 4 5 5 5 6 5 5 4 4 3 4 4 5 4 3 1 -2 -5 -3 2 5 6 6 7 8 8 8 7 6 5 3 1 1 2 4 4 5 5 5 5 5 5 4 3 1 0 0 1 2 2 4 7 6 5 5 5 5 5 5 5 5 6 5 4 4 4 5 6 7 6 5 6 6 5 5 5 4 4 4 4 3 3 4 7 8 8 7 5 5 5 4 4 4 3 2 3 4 4 4 5 5 4 4 4 4 5 6 5 5 6 8 9 9 9 10 11 13 14 15 20 28 34 32 23 11 6 7 8 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 6 6 5 3 2 3 5 4 3 2 2 2 2 2 3 2 2 1 1 1 1 1 2 2 3 3 3 3 3 4 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 5 4 5 5 5 4 5 5 5 5 5 5 5 6 6 7 7 8 8 8 7 7 7 7 7 8 8 8 7 7 7 6 6 7 6 6 8 10 10 10 8 6 6 6 6 4 3 3 3 4 5 9 16 16 10 8 4 0 2 3 4 7 8 6 3 4 6 8 10 7 4 3 5 10 11 10 8 6 4 1 2 5 5 3 3 6 7 6 6 0 -4 2 6 6 5 2 4 7 6 7 4 2 7 12 14 11 6 2 1 2 4 10 13 9 4 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 7 6 6 5 4 4 4 5 6 6 7 7 7 7 6 6 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 5 7 9 9 8 9 10 11 11 10 8 8 9 11 10 10 11 13 14 12 9 7 6 7 6 5 4 3 3 3 3 4 4 4 4 3 3 4 3 4 5 5 5 4 4 4 4 4 5 4 3 -1 -5 -7 -4 3 6 6 7 7 8 9 9 9 8 7 5 3 2 1 2 3 4 5 4 3 3 4 3 1 0 -0 -0 1 1 2 4 5 5 6 6 5 5 5 6 5 5 3 3 4 6 6 6 5 5 6 6 6 5 5 5 4 4 4 4 3 3 4 5 7 8 7 6 6 4 4 3 3 3 2 2 3 4 4 5 4 4 4 4 4 5 5 6 5 7 8 8 8 9 9 9 7 5 8 19 39 53 47 26 10 6 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 4 4 5 5 3 3 5 6 5 4 3 3 3 2 2 3 3 3 2 2 2 1 0 1 1 2 2 2 2 3 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 1 1 2 2 3 3 3 3 4 4 3 3 2 2 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 5 5 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 8 9 9 7 7 7 7 7 7 7 7 8 10 11 10 8 6 7 7 6 5 3 3 3 5 5 5 10 7 2 5 4 0 1 2 5 8 11 9 2 2 5 7 7 6 6 6 7 10 11 10 10 8 4 1 1 5 7 3 1 7 8 5 3 0 -1 3 6 4 3 3 8 9 8 3 2 4 9 14 13 8 5 3 2 2 6 12 12 8 4 3 3 3 2 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 5 5 4 5 5 6 6 6 7 6 6 5 5 4 3 3 2 3 3 3 3 3 2 2 2 1 1 1 1 1 1 2 2 3 5 6 6 6 7 9 11 12 11 10 10 10 8 8 8 9 11 11 9 6 6 7 7 6 5 4 4 3 4 4 5 5 4 4 2 1 1 -0 -0 3 5 5 5 4 4 4 6 7 7 6 4 1 -2 1 5 6 7 7 7 8 8 8 9 8 8 7 4 2 0 -1 -1 1 3 3 0 1 1 1 1 2 2 2 3 4 4 4 5 6 6 6 6 7 8 7 5 3 3 5 7 7 5 4 6 7 7 6 6 5 5 4 3 3 3 3 4 4 4 7 10 10 9 7 5 4 4 3 4 5 4 4 4 4 4 4 4 4 4 3 4 5 5 5 6 7 7 8 9 9 8 6 4 4 16 41 62 54 25 8 5 7 7 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 3 3 3 4 3 4 6 6 4 3 3 4 4 3 2 2 3 3 4 3 3 2 1 1 1 1 1 1 1 2 3 3 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 1 1 2 2 3 3 3 3 3 3 3 2 3 3 2 3 3 4 4 3 3 2 3 3 4 4 3 4 4 3 3 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 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 6 5 5 5 5 5 5 5 6 7 7 8 9 9 9 9 10 10 9 8 7 8 9 8 7 7 6 6 7 7 8 9 10 11 11 10 8 8 8 7 5 4 4 3 3 5 6 4 5 4 5 5 5 2 1 2 3 4 13 13 2 -0 2 5 5 6 7 8 8 9 11 11 11 9 5 1 1 5 7 4 1 6 7 4 3 5 4 3 3 3 4 7 10 10 9 4 1 5 11 14 12 7 3 2 3 4 9 14 12 7 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 4 4 4 4 5 5 6 6 5 5 4 3 3 2 3 3 2 3 3 3 2 2 1 1 1 1 1 2 2 2 3 3 4 5 6 5 5 5 6 7 8 8 6 5 5 6 6 6 7 7 7 6 6 6 6 6 6 5 4 4 4 5 6 6 7 6 3 -0 -1 -2 -5 -4 1 5 6 5 5 5 6 8 11 12 10 8 7 5 5 6 6 6 7 7 7 7 6 6 7 8 7 5 2 -3 -7 -7 -5 -4 -4 -3 -1 2 3 4 5 5 6 6 5 4 4 6 7 6 6 7 10 10 6 6 6 7 8 7 5 4 6 8 7 6 6 6 5 5 4 3 3 3 4 4 4 5 10 15 14 10 7 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 5 5 6 7 8 8 8 7 7 7 5 3 10 27 43 42 23 8 6 8 9 9 8 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 3 2 1 2 2 4 5 5 4 3 2 3 4 4 3 2 2 3 4 4 4 3 2 1 1 0 1 1 1 1 1 2 3 4 4 4 4 4 4 4 4 3 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 6 5 5 5 5 5 6 6 6 7 8 9 10 11 11 11 11 11 11 9 8 8 8 8 7 6 6 6 7 8 10 11 11 11 12 11 9 9 9 8 5 4 4 3 3 4 4 4 4 7 12 7 3 3 3 7 6 3 11 15 6 1 2 4 4 5 8 9 8 6 10 13 12 9 5 3 3 5 6 4 2 4 6 4 5 8 7 3 2 4 7 10 10 9 9 7 5 8 12 13 10 5 2 2 3 5 11 14 10 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 4 4 5 4 4 4 3 3 2 2 2 2 2 2 2 1 1 1 1 1 3 3 3 4 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 7 9 10 10 6 4 3 -1 -5 -4 2 5 6 5 5 5 7 10 14 13 9 7 6 5 5 5 5 5 5 5 5 4 4 4 4 6 8 6 2 -5 -11 -11 -8 -3 -1 -0 1 3 4 4 4 4 4 5 5 5 5 7 7 3 1 6 9 7 7 8 8 7 7 6 5 6 7 7 6 5 6 5 5 4 3 2 3 4 4 3 4 8 14 18 14 8 6 5 5 4 4 3 4 4 5 5 5 5 4 5 5 5 4 4 5 6 7 7 7 8 8 7 6 6 3 5 11 18 21 17 9 7 8 9 8 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 1 3 3 2 1 1 1 3 5 5 4 2 2 2 4 4 3 2 2 2 3 4 3 3 3 1 1 1 1 1 0 0 0 1 2 3 3 3 4 5 5 5 5 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 3 3 2 2 2 2 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 5 4 3 3 3 3 5 5 4 5 5 4 4 5 5 6 6 6 5 5 5 5 4 5 4 4 5 6 6 5 5 5 6 6 7 8 8 9 11 14 14 13 12 11 11 9 8 8 8 8 7 7 6 5 7 10 11 12 12 12 12 12 10 9 9 7 6 4 3 3 4 6 5 4 5 9 12 6 1 4 7 9 7 5 12 16 10 6 5 4 3 5 6 5 5 6 9 13 12 8 4 2 3 4 5 4 3 4 6 5 4 7 9 6 3 5 9 11 10 6 5 8 8 8 11 12 9 4 2 3 5 7 11 13 9 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 5 5 4 3 2 2 2 2 2 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 3 4 4 4 4 4 3 2 2 2 2 3 3 2 3 3 3 4 4 5 6 6 7 7 7 8 8 8 7 7 6 6 6 6 5 6 6 6 6 6 7 10 13 13 11 11 9 4 -0 -1 1 3 2 3 4 5 7 9 11 8 4 4 4 4 4 3 3 2 1 -0 -0 1 1 -1 1 5 7 7 5 1 -0 0 1 1 2 2 3 3 3 2 1 3 5 5 5 7 8 8 6 1 3 7 8 8 8 8 7 7 7 7 6 6 5 5 4 4 5 6 6 4 3 3 4 5 4 3 5 11 17 16 10 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 5 5 4 5 5 6 6 6 8 8 6 4 4 3 2 4 6 6 8 8 7 7 7 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan -0 0 2 2 1 1 1 1 2 4 4 3 2 2 2 3 3 3 2 2 2 3 4 3 3 3 2 1 1 0 1 1 1 0 0 1 2 2 3 3 4 4 5 5 4 3 3 3 3 3 3 3 4 3 4 3 2 3 3 3 3 3 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 4 5 5 6 6 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 6 7 7 8 9 11 14 16 16 14 12 11 10 9 8 8 7 7 7 6 6 6 7 10 12 12 13 13 12 12 10 9 8 7 6 4 3 2 4 6 6 5 7 10 9 6 1 4 8 4 3 6 10 13 9 7 5 3 4 5 4 3 4 7 10 12 12 8 3 1 2 3 4 3 3 5 7 5 2 2 6 5 4 5 7 11 10 4 3 7 8 6 10 11 7 4 3 4 5 7 10 10 7 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 4 3 2 2 1 1 1 1 1 0 0 0 0 0 1 1 1 2 1 1 1 2 4 4 5 5 4 3 3 2 2 3 4 4 3 2 3 4 4 4 5 5 5 6 6 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 6 8 10 11 13 11 7 3 -0 -1 -1 -2 -1 -1 2 5 5 6 5 4 3 4 3 2 2 1 -0 -2 -3 -3 -3 -2 -0 1 3 6 9 11 10 10 9 4 2 3 4 5 5 3 3 3 4 5 6 6 6 9 10 9 7 6 8 8 8 8 7 7 7 7 8 7 5 3 3 2 3 5 7 7 6 4 4 5 5 4 3 5 9 13 14 11 9 8 6 5 5 5 4 4 4 4 5 5 5 5 4 5 5 4 4 5 5 5 6 8 9 7 5 3 3 3 2 1 3 4 5 5 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 nan nan nan nan
nan nan nan nan 2 1 1 1 1 1 1 1 2 3 3 3 3 3 4 3 3 2 1 1 2 4 4 4 3 3 3 2 1 0 1 2 2 1 1 1 1 1 2 2 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 6 5 5 6 5 4 4 4 4 4 5 5 5 6 6 5 5 6 7 6 8 10 13 16 18 16 13 11 9 9 9 7 7 6 6 6 6 6 6 8 11 12 12 13 13 12 11 10 8 7 6 6 4 3 1 2 4 5 7 10 11 8 4 1 2 4 5 9 6 1 4 5 3 2 4 8 8 5 3 4 9 10 11 10 8 5 2 1 2 4 2 1 4 7 3 -1 -1 3 4 3 4 6 10 9 5 5 6 7 6 9 10 6 5 4 4 4 5 8 9 6 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 3 2 2 1 2 1 0 0 1 1 1 1 1 1 1 2 2 2 3 4 5 5 4 3 2 2 2 4 6 7 5 3 3 3 4 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 7 6 6 6 6 6 5 5 4 3 3 4 7 9 11 8 3 2 1 1 0 -2 -3 -1 2 4 5 4 4 4 4 4 3 2 1 0 0 0 1 1 3 5 6 5 5 7 9 10 10 9 6 3 4 7 9 8 5 4 4 6 7 9 9 6 6 8 8 7 8 8 9 9 8 7 5 6 7 8 7 5 3 1 2 5 9 10 8 7 5 4 5 5 4 4 5 8 11 12 12 11 11 10 8 5 5 5 4 4 3 4 5 5 4 4 4 4 4 4 4 5 5 6 7 8 8 7 5 4 4 2 1 2 3 4 5 5 5 5 5 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 2 1 1 1 1 1 2 3 3 3 4 4 4 4 2 1 0 2 4 4 4 3 3 3 3 2 1 2 3 3 2 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 6 6 7 8 11 14 17 17 14 11 9 8 8 7 6 5 5 5 5 5 5 6 8 10 12 12 12 12 12 10 9 8 7 6 5 4 2 1 1 3 4 6 9 9 7 3 1 1 3 10 20 11 -4 -6 0 1 1 8 13 11 6 2 3 8 10 11 9 7 6 3 -0 2 4 2 -0 3 5 2 -0 1 3 3 3 3 6 10 9 9 9 6 5 8 11 9 6 5 4 3 2 5 9 9 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 2 2 3 3 3 3 2 2 2 3 3 4 5 5 4 3 2 1 2 4 6 8 8 6 4 3 4 4 4 6 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 4 4 3 2 3 6 11 11 7 4 4 5 5 4 2 -1 -2 -0 2 4 4 4 5 6 6 5 6 6 6 6 6 7 7 6 6 5 4 5 6 6 7 8 7 6 7 12 16 13 7 5 7 8 7 8 10 8 5 6 6 7 7 8 9 9 9 6 4 5 7 8 7 5 1 0 3 9 14 13 8 6 5 5 5 5 4 4 5 7 10 13 12 12 12 13 12 8 6 6 5 5 5 4 4 5 5 4 3 4 4 4 4 5 5 5 6 7 8 8 7 7 6 5 4 5 5 5 6 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
nan nan nan nan 4 5 5 4 3 2 1 1 1 2 2 2 2 3 4 5 5 4 1 0 2 4 4 4 4 4 4 3 3 2 3 4 4 3 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 4 3 3 2 2 2 3 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 6 5 5 6 6 7 8 10 14 17 15 11 8 7 6 6 6 5 5 5 4 4 4 5 6 8 10 10 11 11 12 11 10 8 7 6 5 5 4 3 2 2 3 4 5 7 7 5 5 4 3 3 10 20 13 -0 -6 -2 2 3 11 14 11 7 2 1 6 10 10 8 7 6 3 1 4 6 2 -1 2 4 3 3 4 3 2 2 3 6 9 8 11 12 8 5 9 12 9 5 4 4 3 2 4 8 9 6 4 4 4 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 4 4 4 4 4 5 4 4 4 5 4 4 3 3 3 3 4 5 5 4 3 2 1 1 3 4 6 7 6 5 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 5 8 12 12 8 6 5 5 5 4 1 -0 -2 -1 2 2 3 3 5 7 7 8 9 8 8 8 8 6 5 4 4 3 2 3 3 4 5 6 7 9 16 21 16 8 5 5 5 6 7 8 8 5 5 6 6 7 8 9 10 9 7 5 4 6 8 8 5 1 1 5 11 15 13 8 6 5 5 5 5 4 5 6 6 8 11 12 11 11 13 14 12 9 8 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 8 9 9 9 8 8 8 7 6 5 4 3 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 3 4 5 5 5 4 2 2 2 2 2 1 0 1 3 6 6 5 2 1 2 3 3 3 4 4 3 3 2 3 4 5 5 3 2 2 3 3 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 5 4 4 4 4 4 4 4 5 5 5 5 6 5 5 4 4 4 3 3 4 4 5 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 6 7 6 5 5 7 6 6 7 9 14 17 13 9 7 6 5 5 5 5 4 4 3 4 4 5 6 8 9 10 10 10 11 10 9 7 6 6 5 4 3 3 3 3 3 4 5 6 5 5 7 6 3 2 5 9 10 6 1 1 4 5 8 9 8 7 4 2 5 10 10 8 6 3 1 2 5 7 3 -1 2 5 6 7 7 4 2 3 4 5 6 5 9 11 9 8 11 11 8 5 4 4 3 3 3 6 9 6 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 4 3 2 1 1 2 3 4 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 8 11 12 8 6 5 4 3 2 2 2 1 1 -1 -2 -1 -0 1 1 2 5 7 6 7 8 7 5 4 4 3 2 2 1 1 1 3 4 8 14 17 13 6 3 2 3 5 6 6 6 5 5 5 5 6 7 10 11 10 8 6 5 6 8 8 5 2 2 5 9 11 10 7 5 4 5 5 4 4 4 6 7 6 8 10 9 9 9 11 12 11 10 9 8 6 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 7 8 10 11 11 9 9 8 6 4 3 3 4 4 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 3 3 3 4 5 5 5 4 3 4 3 2 0 -0 0 3 5 6 5 4 2 3 3 2 2 2 3 2 1 2 3 4 5 5 4 3 2 2 3 3 4 5 5 5 5 4 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 5 5 5 4 5 5 5 5 4 4 4 5 4 4 5 6 7 6 5 6 8 7 6 7 12 19 19 11 6 6 4 4 4 5 5 5 4 4 4 4 4 6 8 9 9 9 9 10 9 8 7 6 5 4 3 3 3 4 4 4 5 5 6 5 4 8 8 3 2 3 5 6 5 4 8 10 6 4 3 2 4 4 3 7 11 10 7 6 2 -0 2 7 7 3 0 3 8 11 11 9 5 2 3 4 5 4 3 6 10 10 11 11 10 7 5 5 4 3 2 4 8 9 6 3 3 3 2 3 3 4 5 5 5 4 4 4 4 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 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 3 2 1 2 2 2 3 3 3 3 4 4 4 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 8 8 8 9 12 12 10 9 7 5 4 3 3 4 2 -0 -1 -2 -2 -1 -1 -0 3 5 5 6 7 7 6 5 5 4 3 2 1 -0 0 3 3 5 9 9 7 4 3 3 4 5 5 5 4 4 4 4 4 5 7 9 11 11 10 7 6 6 8 8 6 3 2 3 5 6 6 6 5 5 4 5 5 4 3 4 7 7 6 9 8 6 6 8 10 10 10 10 9 8 7 6 6 5 5 4 4 4 4 4 5 7 7 7 6 5 5 5 5 8 10 10 8 7 6 6 5 3 5 6 6 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 2 3 5 5 5 5 5 4 3 2 1 1 3 4 4 4 5 4 4 4 3 2 2 1 0 -1 0 2 3 4 5 5 4 4 3 3 4 4 5 5 6 5 5 5 6 6 6 6 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 6 7 6 6 7 9 8 7 9 20 29 20 7 4 4 2 2 2 4 6 6 5 4 4 4 5 6 8 9 8 8 9 9 9 8 7 6 5 3 2 3 4 5 4 2 6 9 9 7 5 8 7 2 2 4 5 4 1 3 10 11 5 2 1 0 2 5 5 9 14 11 8 6 1 -3 1 7 6 1 -0 5 9 8 9 10 6 2 3 6 7 5 4 7 9 12 14 10 8 6 6 5 5 3 3 6 11 10 7 4 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 3 3 2 2 2 3 2 2 2 2 3 4 4 4 5 5 4 5 5 4 4 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 8 9 10 10 11 10 10 11 10 8 7 6 4 4 3 2 2 2 2 3 4 4 5 5 5 6 6 6 7 6 5 6 5 3 1 2 4 5 7 6 4 2 3 3 4 4 5 5 4 4 4 3 3 3 4 5 7 9 11 11 9 8 7 7 7 6 4 4 3 3 3 4 6 6 6 5 5 5 4 3 2 4 5 7 9 9 6 6 7 8 9 10 10 10 9 8 8 8 7 5 4 4 4 4 4 5 6 7 8 7 6 6 4 4 6 8 8 6 4 3 5 5 5 6 7 8 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 5 5 4 4 5 5 5 5 4 5 5 4 3 3 3 3 3 3 3 4 5 5 4 4 3 1 -0 -1 -2 -0 2 3 4 4 4 5 5 5 4 5 5 5 6 6 6 6 6 7 8 7 5 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 8 10 10 10 15 29 29 9 1 4 3 -1 -2 1 4 5 7 7 6 5 5 6 6 8 9 8 8 8 9 8 8 7 5 3 2 3 4 4 3 3 3 7 12 11 8 6 6 6 3 3 4 4 2 1 2 6 6 4 3 4 2 3 8 10 13 17 14 10 6 1 -3 1 8 6 -0 -1 4 7 4 4 8 7 3 6 9 9 7 8 7 8 16 18 10 7 5 5 5 5 4 4 7 13 12 6 4 3 3 3 3 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 5 5 4 4 5 4 4 4 4 4 5 5 4 4 4 4 3 3 2 2 3 3 2 2 2 3 3 4 4 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 7 9 9 8 9 10 11 12 11 11 9 7 6 5 4 5 5 5 7 7 8 9 7 8 10 9 10 8 7 8 8 5 3 2 3 6 8 6 4 2 3 4 4 4 5 5 4 4 3 3 3 3 3 4 5 7 9 10 11 10 8 7 6 5 5 5 4 4 3 3 5 6 6 5 5 5 4 2 2 1 2 5 7 8 7 6 5 6 8 8 9 9 9 9 9 9 9 8 6 4 4 4 4 5 6 7 7 7 7 6 5 4 4 5 7 8 5 2 3 4 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 8 7 7 6 6 5 5 4 4 4 4 5 5 5 4 3 3 2 3 3 3 3 4 4 5 5 4 1 -1 -2 -1 1 3 3 3 3 4 5 5 4 5 5 6 6 6 6 6 6 7 9 8 7 5 3 3 3 4 4 4 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 5 4 4 4 3 4 4 3 4 3 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 6 6 7 6 7 9 11 12 14 21 27 14 -4 -2 5 1 -4 -4 -0 3 6 8 9 8 7 7 6 7 8 9 8 8 7 8 8 7 5 4 3 3 5 6 4 2 4 6 6 8 6 5 5 5 4 5 4 3 4 3 2 2 3 2 4 7 7 4 4 10 14 15 16 15 12 8 4 -0 2 7 5 -0 -2 2 5 2 2 7 6 4 9 11 7 6 10 6 6 18 21 12 6 1 1 3 7 10 7 8 13 13 6 4 3 3 3 3 4 4 5 4 4 4 3 4 4 5 4 4 4 4 3 2 2 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 4 4 4 4 5 4 4 3 3 3 2 3 3 2 3 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 4 4 5 5 5 5 5 5 4 5 5 5 5 4 5 5 4 4 5 6 8 8 8 9 10 11 11 10 6 6 9 10 9 9 9 9 10 10 12 12 12 14 14 13 11 8 7 7 5 3 2 2 4 7 7 6 5 3 4 3 3 4 5 4 3 3 2 2 3 3 3 4 5 6 8 9 10 9 8 6 5 5 5 6 6 4 4 4 5 5 4 4 5 4 2 1 1 2 3 5 8 8 6 4 6 6 7 9 9 10 9 9 9 10 10 8 6 4 4 4 4 5 6 7 7 8 7 6 5 3 4 7 9 7 4 3 3 3 2 4 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 8 7 7 6 6 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 2 1 1 2 4 6 6 4 1 -0 -0 1 2 2 2 2 3 4 5 4 5 5 6 6 6 6 6 6 7 8 9 8 6 4 3 3 4 4 4 5 5 5 4 3 2 1 1 2 2 2 2 3 4 4 4 4 3 3 3 4 4 4 5 4 4 5 4 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 4 3 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 5 6 6 6 6 6 7 6 7 9 12 14 17 21 18 4 -6 -2 4 0 -5 -5 -1 4 7 9 10 9 8 8 8 8 9 9 9 7 7 7 6 5 3 3 4 6 7 6 5 4 7 8 6 4 3 3 6 6 6 8 5 4 4 2 3 5 3 2 5 9 10 7 5 8 13 14 14 14 12 11 10 6 3 3 3 0 0 4 3 -0 1 5 3 3 10 11 4 2 7 5 6 18 20 13 4 -4 -5 0 9 17 12 9 13 11 7 4 4 3 3 3 4 5 5 4 4 3 3 4 4 4 4 4 4 3 3 2 3 3 3 3 4 4 5 5 4 4 4 4 4 4 5 5 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 4 4 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 3 3 3 5 6 6 6 7 7 7 6 4 5 8 11 11 11 12 11 10 8 9 10 9 10 11 10 10 8 7 6 5 4 2 2 3 4 6 7 6 5 4 3 3 4 4 4 3 2 2 3 3 3 3 3 4 4 5 7 8 9 9 7 6 5 6 7 7 6 5 5 4 3 3 3 4 4 3 2 2 2 2 4 7 8 6 5 5 5 6 8 9 9 9 9 9 11 11 10 7 5 4 3 3 5 6 7 7 7 7 7 7 6 5 6 9 8 5 4 4 4 3 4 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 6 5 4 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 4 2 -0 -1 -0 2 5 6 5 3 2 2 2 3 2 1 1 2 3 4 4 5 5 6 5 5 5 5 6 6 7 8 9 7 4 3 4 4 4 4 5 5 5 4 3 2 1 1 2 1 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 2 3 2 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 5 5 6 7 7 6 6 6 7 8 10 13 17 21 19 10 -1 -6 -3 -1 -3 -6 -4 1 5 7 9 9 9 8 8 9 9 9 10 9 7 6 6 5 4 3 3 6 7 7 5 5 5 9 11 7 4 2 4 6 7 10 14 7 2 2 1 3 5 3 2 5 8 9 10 10 8 9 11 11 10 10 11 11 8 5 2 1 1 4 7 3 -1 -0 4 3 2 7 11 6 4 5 5 7 16 17 11 4 -4 -7 -1 11 21 15 12 15 10 6 5 3 3 3 3 4 5 5 5 4 3 3 3 4 4 4 4 4 3 3 3 4 3 3 3 3 4 5 5 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 2 2 3 4 5 5 5 5 5 5 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 5 4 3 3 2 3 4 4 4 5 5 5 4 4 5 5 6 8 9 9 7 5 5 4 4 4 5 5 5 6 6 6 6 6 5 4 4 3 3 4 5 5 5 4 3 3 4 4 4 3 1 2 3 3 3 3 3 3 3 4 5 6 8 8 8 7 5 5 6 7 7 6 6 4 3 3 2 3 4 4 3 3 3 3 3 5 7 6 4 3 4 5 6 7 9 9 9 9 10 11 11 9 6 4 3 3 4 5 6 6 6 7 8 8 8 7 5 5 7 6 4 5 6 6 5 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 6 6 6 5 3 1 0 0 1 3 4 5 4 4 4 3 3 2 1 1 2 3 3 4 4 5 5 5 5 4 4 5 5 6 7 8 7 6 4 4 4 4 5 5 5 6 5 4 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 6 6 6 7 9 12 16 22 24 18 7 -2 -6 -6 -5 -5 -6 -2 4 6 8 9 9 8 8 7 9 10 10 10 9 7 6 5 4 3 4 6 7 7 6 3 3 7 9 8 2 0 2 4 5 6 10 17 12 -1 -1 2 6 6 3 1 2 3 7 12 13 11 9 10 8 7 8 9 7 4 6 4 -0 3 7 6 6 5 2 3 4 2 4 10 11 10 13 12 8 13 18 13 4 -4 -7 1 15 21 14 12 17 12 6 5 4 3 3 4 4 5 4 5 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 5 6 5 5 5 5 5 6 6 5 5 5 4 4 3 3 2 2 3 3 2 2 3 3 3 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 4 3 3 3 3 4 4 5 5 4 5 5 4 5 5 6 5 4 3 3 3 3 3 3 4 4 5 5 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 1 1 2 3 3 3 3 3 3 3 3 4 6 7 7 8 7 6 6 6 7 7 6 5 4 3 3 3 3 4 4 4 3 3 3 3 5 6 4 3 3 4 5 6 7 8 9 9 9 10 10 10 8 6 4 3 3 4 5 5 5 6 8 9 9 9 7 5 6 6 5 6 7 6 5 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 nan nan
nan 6 6 5 5 5 4 4 4 4 4 5 5 6 7 7 7 6 6 6 6 6 6 6 4 3 2 2 2 3 4 5 5 5 5 5 4 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 6 5 4 4 4 4 5 5 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 7 6 6 6 7 10 15 21 26 25 17 10 2 -4 -5 -6 -5 -3 1 5 7 7 8 8 7 7 7 9 10 11 11 9 8 6 4 2 2 5 7 8 7 6 3 0 4 10 9 -1 -5 2 5 5 5 7 15 15 2 -3 3 10 9 4 1 0 3 8 12 14 15 14 12 8 5 4 5 2 1 3 3 2 5 5 3 12 14 6 4 3 1 3 7 10 14 22 21 12 17 26 19 4 -4 -6 4 17 18 11 11 18 13 6 5 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 5 5 5 5 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 4 3 3 4 4 5 5 5 4 5 5 5 6 7 5 4 4 3 3 3 3 4 4 4 5 5 6 6 6 7 7 7 6 5 5 5 4 4 3 4 4 4 4 4 4 3 1 1 3 3 3 3 3 3 3 3 3 4 6 7 7 7 7 6 6 6 7 7 6 6 4 3 3 3 4 4 4 4 4 3 3 3 4 5 4 4 3 4 4 5 7 8 9 9 9 9 10 8 7 5 3 3 4 4 5 5 5 6 8 9 9 8 7 6 5 4 4 5 5 5 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 5 4 4 5 6 7 8 8 8 7 7 7 6 7 7 7 6 5 4 3 3 4 4 4 5 6 6 6 5 4 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 6 6 6 5 5 5 5 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 6 7 8 8 7 5 5 7 9 15 23 26 24 19 15 10 4 -1 -4 -5 -4 0 5 7 7 7 7 7 7 7 8 9 11 11 11 9 8 7 5 2 2 4 7 6 5 7 9 5 -1 2 10 5 -3 1 5 6 7 8 10 13 7 -1 4 8 5 3 3 3 6 11 14 15 15 14 11 8 5 2 1 -1 -1 -0 1 2 4 0 -1 13 18 10 4 2 1 3 4 6 13 19 17 17 29 35 22 6 -3 -4 6 15 14 8 12 20 15 6 5 4 3 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 5 4 4 5 4 3 3 4 4 4 5 5 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 6 6 6 6 5 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 6 5 5 4 4 4 4 5 4 5 5 6 6 6 6 6 5 4 4 3 3 3 4 4 4 5 5 5 6 6 7 8 8 8 7 6 6 6 5 3 3 3 4 4 4 4 4 4 2 1 2 2 2 3 3 3 3 3 3 5 6 6 7 7 7 6 6 6 6 7 7 6 4 3 3 4 4 5 4 4 4 3 3 4 5 5 4 3 3 3 3 4 6 8 9 9 9 9 9 8 7 5 4 3 3 4 4 4 5 7 9 9 8 7 6 4 3 3 3 4 5 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 7 6 5 5 5 5 7 7 7 8 8 8 8 7 7 7 7 7 6 5 5 4 5 5 4 4 5 5 6 7 7 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 4 4 4 3 3 3 4 5 5 6 6 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 5 4 4 5 6 7 7 8 7 5 5 7 9 15 26 33 25 13 9 11 8 4 -2 -4 -3 0 4 7 8 8 7 6 7 7 7 8 9 11 11 11 10 8 7 5 3 3 3 4 4 4 6 10 10 3 2 8 7 2 2 5 7 9 11 10 9 9 6 5 2 -0 1 4 8 12 14 16 15 11 8 8 9 6 3 -0 -1 1 0 2 4 3 -2 -3 8 15 10 4 2 2 1 -1 2 8 10 10 21 37 36 21 6 -2 -1 9 14 11 8 11 20 16 5 5 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 3 4 4 4 4 5 5 4 4 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 5 5 6 7 7 6 6 5 4 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 5 5 4 5 5 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 8 8 8 7 7 7 7 5 4 3 3 3 4 5 6 8 6 -0 -1 1 2 2 2 3 2 2 3 4 5 6 6 7 7 7 6 6 6 6 7 7 6 4 3 3 4 4 4 3 4 3 3 4 5 5 5 4 4 3 3 2 4 6 9 9 9 9 9 9 8 8 6 4 4 4 4 4 4 6 8 9 8 6 5 4 3 3 3 3 4 5 5 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 7 6 6 6 5 5 6 7 7 8 8 8 8 8 8 7 7 6 6 5 5 5 6 6 5 5 4 4 5 6 7 7 7 6 6 6 5 4 4 5 5 5 4 4 3 3 3 4 5 4 4 3 2 2 2 2 2 3 4 5 6 6 7 6 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 8 8 6 5 6 10 14 23 32 31 17 5 3 6 6 -1 -4 -2 3 6 7 7 8 8 7 7 7 8 8 9 10 11 12 11 10 9 5 1 1 2 3 4 4 4 5 6 6 6 6 4 2 3 4 5 7 11 16 15 10 10 9 6 -0 -1 4 8 13 15 15 16 12 5 5 10 12 8 4 3 4 5 4 4 7 6 -1 -5 2 8 8 4 -1 -2 -0 -5 -6 0 7 10 24 38 32 17 5 -0 3 10 12 9 8 10 18 17 6 4 5 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 3 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 6 6 6 6 6 5 5 5 5 4 4 5 6 6 6 6 6 5 4 3 3 4 4 5 5 5 6 5 4 4 4 5 7 7 7 8 7 7 8 8 8 6 5 4 3 3 3 4 7 11 8 2 -1 1 2 2 2 2 2 2 3 3 4 5 6 6 7 7 6 7 7 7 7 7 8 5 3 3 4 4 4 4 4 4 3 4 4 4 5 5 4 4 3 2 3 5 7 8 9 10 10 10 10 10 9 7 5 4 4 4 4 5 7 9 9 7 5 4 4 4 4 4 5 5 4 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 5 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 7 6 5 5 5 6 6 6 6 4 3 4 4 5 4 4 3 2 1 1 1 1 2 3 4 5 5 5 4 3 3 4 4 5 5 5 6 6 6 5 4 4 5 4 4 4 4 4 4 4 5 5 5 4 5 5 6 5 5 5 5 5 6 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 7 8 8 8 6 6 9 13 18 24 27 21 9 4 1 -0 -1 -6 -2 4 8 8 7 7 8 8 8 8 8 9 9 9 10 12 13 12 10 6 1 -1 -1 -0 2 4 7 9 6 7 7 2 -1 -2 1 3 4 5 8 13 16 17 14 11 8 5 0 -3 4 13 17 16 16 16 9 -1 5 18 17 10 7 7 9 9 6 6 10 8 0 -4 -1 5 8 6 -2 -9 -2 1 -7 -7 3 10 25 36 29 16 6 2 4 8 9 7 8 12 18 15 7 4 5 4 4 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 5 5 5 6 6 7 7 5 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 4 3 3 4 5 5 5 5 6 5 3 2 3 4 6 7 7 7 7 7 8 8 9 8 6 5 4 3 3 4 7 11 9 4 2 2 3 3 3 2 2 2 2 3 4 4 5 6 6 8 6 5 7 7 7 7 9 7 3 3 4 5 5 4 4 4 4 3 4 4 5 6 6 4 4 3 3 4 5 6 7 9 10 11 12 12 12 10 8 6 5 5 4 4 6 8 8 8 7 6 6 6 6 6 6 5 3 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 4 5 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 6 6 5 5 6 7 7 6 6 5 5 6 6 6 6 6 6 5 5 5 5 4 2 2 1 1 -0 0 1 2 3 3 3 3 3 2 2 2 3 4 4 5 5 6 5 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 7 7 9 9 7 7 9 12 15 16 17 16 10 4 4 1 -4 -3 -1 4 8 9 7 6 6 7 8 8 8 9 10 10 10 11 13 14 13 9 4 2 -0 -3 -1 3 3 8 11 7 11 12 2 -4 -2 2 2 3 6 11 14 14 14 13 11 9 4 -4 -7 1 15 19 15 15 16 9 -4 5 24 22 12 8 9 11 10 5 3 7 8 3 -2 -0 7 12 10 0 -10 -4 7 3 2 6 16 27 31 24 15 7 3 3 5 7 7 8 13 19 14 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 3 4 4 4 5 5 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 3 4 4 5 5 5 6 6 5 5 4 3 3 4 5 6 6 5 4 2 0 1 4 6 7 7 7 7 6 6 8 9 8 7 6 5 4 4 5 6 9 9 5 3 4 4 4 5 4 3 2 3 3 3 3 4 5 6 9 8 5 7 7 7 7 8 7 5 5 5 5 5 5 5 5 5 4 4 3 5 6 7 7 5 4 3 4 5 5 6 7 10 12 14 14 14 13 11 9 7 5 4 4 5 6 8 8 9 9 8 8 6 7 7 6 5 4 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 3 3 3 3 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 6 6 5 5 5 5 6 6 5 4 5 5 5 6 6 6 7 8 6 6 5 4 4 3 2 1 -0 -0 0 1 2 3 2 2 2 2 1 1 1 2 3 3 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 6 6 6 5 5 5 4 5 5 5 5 5 5 6 5 5 5 6 7 7 10 11 7 9 11 12 12 12 12 10 5 2 3 2 -0 2 6 7 8 7 5 5 6 7 7 8 8 9 10 11 12 13 15 17 14 8 4 3 1 -1 2 5 2 3 6 6 9 9 4 0 0 2 3 4 7 11 12 9 7 8 9 9 4 -6 -9 0 17 22 13 11 17 12 -0 6 22 22 12 6 4 7 9 5 -0 2 7 6 1 1 9 14 13 5 -3 -4 7 13 16 15 20 26 25 18 11 5 1 1 4 6 7 8 13 19 14 6 5 5 5 5 5 5 5 4 5 5 5 6 5 5 5 4 3 3 3 4 5 5 4 4 4 4 3 3 3 4 5 4 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 4 3 3 3 3 3 4 4 4 5 4 5 4 5 5 5 5 5 5 3 3 3 2 3 3 4 4 4 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 4 5 5 6 6 5 5 4 3 4 4 5 5 4 2 -0 -1 1 4 7 7 7 6 6 6 6 7 8 7 7 6 5 5 6 6 5 7 8 6 5 5 5 6 6 6 5 4 3 3 3 3 4 4 5 7 7 6 7 8 7 7 7 7 6 5 5 5 6 6 6 6 5 5 5 3 3 5 8 8 6 4 3 4 5 5 5 6 9 11 14 16 16 15 13 11 9 7 5 4 4 5 7 8 10 11 10 8 7 6 7 7 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 4 5 5 5 4 4 4 3 2 2 1 2 2 2 3 3 2 3 3 4 4 4 5 5 5 5 5 5 4 5 6 6 6 5 4 5 5 5 5 4 3 3 3 4 4 6 7 9 10 8 6 5 6 6 5 3 2 1 1 0 1 2 2 2 2 2 1 1 1 1 2 2 3 3 3 4 4 4 4 5 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 10 12 8 8 10 9 9 11 13 13 11 7 5 4 5 7 8 6 5 5 5 5 5 6 7 7 8 10 12 13 14 16 18 19 14 7 5 4 3 3 6 6 1 -2 1 5 8 9 8 7 4 2 4 6 7 9 8 4 1 2 5 11 10 -2 -9 -0 19 25 13 9 17 17 9 9 19 17 9 3 1 4 7 6 1 2 7 6 4 6 9 12 11 7 2 -3 3 16 24 20 18 17 11 7 6 2 -0 3 6 7 8 10 14 18 13 5 5 5 5 6 5 5 4 4 5 5 5 6 5 5 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 5 6 5 5 4 3 3 4 4 5 5 5 6 5 5 5 4 3 3 3 3 3 3 3 4 4 4 5 4 5 5 5 5 6 6 5 4 3 3 3 2 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 7 6 5 5 4 4 4 3 3 3 4 4 5 4 5 6 6 6 6 5 4 4 4 3 3 3 1 -1 -2 0 4 6 7 6 5 6 6 6 7 7 7 6 6 6 6 7 6 5 4 4 6 6 5 6 7 8 8 8 6 4 4 3 3 2 3 3 4 5 6 7 7 8 8 7 7 6 4 3 4 6 7 7 7 7 6 5 4 3 4 6 7 6 4 3 3 5 6 5 6 7 11 14 16 17 16 13 11 10 8 7 6 4 4 6 8 9 9 8 6 5 5 7 9 8 6 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 4 4 4 4 4 4 4 3 3 3 2 2 2 1 1 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 6 6 5 3 2 2 3 3 4 6 9 11 11 8 7 7 8 7 6 5 4 2 1 1 1 1 2 2 1 1 1 1 1 1 2 2 2 2 3 3 4 4 4 4 4 4 5 5 6 6 7 7 6 6 6 6 5 5 5 5 5 4 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 6 6 7 8 8 10 12 9 8 8 8 9 12 15 19 20 12 5 5 7 7 5 4 4 4 4 5 5 6 6 7 9 11 12 14 15 18 20 19 13 8 5 4 3 4 6 5 1 -1 3 7 7 7 7 5 2 3 8 8 3 3 2 -1 -1 -1 2 12 17 6 -5 -1 15 25 17 12 20 24 18 16 17 12 3 1 4 6 6 4 5 10 8 6 10 10 7 8 9 6 4 -2 -5 8 24 22 13 4 -4 -2 3 0 3 9 9 8 9 10 13 17 13 6 5 5 5 5 5 5 4 4 5 5 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 3 3 4 5 5 6 6 6 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 5 4 3 3 3 3 4 4 4 4 3 3 4 4 4 5 5 5 5 6 6 6 7 7 6 5 5 4 4 4 4 3 4 5 6 6 6 6 6 6 7 7 7 5 4 4 2 1 0 -1 -1 -1 0 3 6 7 6 6 5 5 6 7 8 8 7 5 6 7 7 6 5 3 2 3 5 6 6 7 8 9 9 8 6 4 3 3 2 2 2 3 3 4 5 7 8 8 8 7 6 5 4 4 5 6 7 7 7 7 6 5 3 2 4 6 7 5 3 3 4 6 6 6 7 9 13 15 16 15 12 10 9 8 8 8 6 5 5 5 5 6 6 4 4 5 8 9 8 7 7 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 8 7 6 5 5 5 5 4 4 4 3 3 3 3 3 2 2 2 1 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 7 5 3 2 2 3 3 4 7 9 9 9 7 7 7 7 7 7 7 6 5 3 2 1 1 1 1 1 1 2 2 2 2 2 1 2 2 3 3 3 4 4 4 4 4 5 5 6 6 7 7 7 7 6 5 5 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 6 6 7 9 11 11 11 8 7 8 8 9 12 15 19 17 7 2 4 5 4 3 3 3 3 4 5 5 6 6 7 8 11 12 15 17 19 19 17 12 9 6 3 2 2 2 2 3 5 8 8 4 -1 0 1 3 8 13 6 -0 -2 -2 -2 3 4 -1 4 13 10 -2 -4 7 20 23 18 21 24 19 17 15 6 -2 2 9 9 3 1 11 18 9 5 12 11 8 9 9 6 6 3 -5 7 25 21 8 -5 -11 -2 4 4 10 15 12 9 10 10 12 17 15 6 5 6 5 5 5 4 4 4 5 6 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 5 7 6 6 6 5 4 4 4 3 3 2 2 2 3 4 4 4 4 5 4 5 5 5 4 5 7 7 5 4 3 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 6 6 5 5 4 4 4 4 4 4 6 7 8 8 7 7 7 8 8 7 6 5 3 2 0 -1 -1 -1 -0 1 4 7 6 5 4 4 4 5 5 7 8 8 7 7 8 8 7 6 4 1 3 5 6 6 7 7 8 9 9 7 5 4 4 2 2 2 3 3 4 4 6 7 8 8 8 7 5 5 4 4 5 6 7 7 8 7 6 3 2 3 4 5 5 4 4 4 5 5 5 6 8 11 13 14 13 11 8 7 6 6 7 7 7 6 6 4 5 6 4 4 4 6 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 7 7 7 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 7 8 6 3 3 3 4 4 5 6 6 6 6 6 6 6 6 7 8 9 9 6 4 2 1 2 2 1 2 2 3 4 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 5 5 6 7 6 6 6 5 5 4 4 4 4 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 9 13 12 10 8 7 7 8 8 9 10 11 11 7 1 1 3 3 3 3 3 3 4 4 5 5 6 7 7 9 11 12 15 18 18 17 14 11 8 6 4 3 1 -0 1 5 10 9 4 -1 -5 -2 1 3 11 14 5 0 -0 -1 3 12 10 1 1 6 5 -1 -3 4 16 22 19 17 18 14 10 10 1 -3 7 13 9 1 2 12 16 9 4 7 9 10 12 9 5 9 15 8 17 29 19 3 -9 -9 5 11 13 17 18 13 10 10 10 12 16 15 7 5 6 5 6 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 6 6 6 5 5 4 3 3 3 4 4 5 6 7 7 6 5 4 4 4 4 3 2 2 2 3 3 3 4 5 5 5 4 4 5 4 4 5 7 7 4 3 2 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 5 4 4 5 5 6 8 9 10 10 10 9 9 9 9 8 6 4 3 2 1 -0 -1 -0 2 5 8 6 5 5 3 3 4 4 5 5 7 7 8 8 9 9 8 6 6 4 3 5 6 6 6 6 6 7 7 7 6 6 5 3 2 3 3 2 2 3 4 6 7 7 8 7 6 5 4 3 4 5 5 6 7 8 6 4 3 2 2 3 4 5 5 5 5 5 5 6 6 8 10 12 13 11 9 7 5 4 4 6 7 8 9 8 7 7 6 6 5 5 6 7 7 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 7 7 5 4 3 3 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 4 3 3 2 2 3 3 4 4 4 4 5 6 6 8 10 9 6 4 4 4 5 5 4 4 4 4 4 4 5 5 7 9 10 11 10 7 5 3 2 2 2 3 3 4 5 5 4 4 3 2 2 2 3 3 4 4 3 3 4 4 4 4 5 6 6 6 5 5 5 5 4 4 4 5 6 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 9 12 11 8 7 7 7 8 7 8 8 7 6 2 0 2 3 3 4 4 4 4 4 5 6 6 6 8 9 9 10 12 16 18 17 14 11 8 6 5 3 2 2 1 1 5 8 6 3 -1 -2 -1 1 4 11 9 2 2 4 4 11 18 13 5 3 3 3 4 5 6 10 13 13 13 12 10 7 6 -1 1 14 15 6 -0 0 4 5 5 4 3 6 11 13 7 0 10 22 19 25 27 17 1 -12 -5 15 21 21 22 19 13 10 9 10 11 14 14 8 5 5 6 6 6 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 5 6 6 5 5 4 3 3 4 4 4 5 7 7 6 5 4 4 4 4 3 3 3 3 3 3 3 4 5 5 7 7 5 4 4 4 4 6 6 5 3 2 2 3 3 4 4 4 4 4 4 5 5 6 5 5 6 6 6 7 6 7 7 7 7 7 6 5 5 6 6 7 8 10 12 12 12 12 12 12 11 10 8 6 4 3 3 2 1 1 2 4 8 9 6 4 4 3 3 4 5 5 5 5 6 7 8 9 11 9 5 5 6 6 6 6 6 6 5 5 5 6 6 7 7 6 6 5 4 3 3 2 2 3 4 5 6 7 7 7 6 5 4 4 4 4 5 6 6 6 5 4 3 2 2 3 5 5 5 5 5 5 5 4 5 7 9 11 11 10 9 6 4 4 5 6 9 11 11 9 8 8 8 8 6 5 6 6 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 5 5 6 7 7 6 5 3 2 3 2 3 3 4 6 6 7 6 6 6 6 5 5 5 4 5 7 6 6 5 4 4 3 2 2 3 3 4 4 4 5 5 6 8 10 10 8 6 5 5 6 5 5 4 3 3 3 3 4 5 6 8 10 11 12 11 9 5 2 2 3 3 4 5 5 6 6 5 4 3 3 3 3 3 3 3 4 3 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 5 5 4 4 4 4 4 5 5 6 7 6 6 10 11 7 7 8 8 8 7 8 7 7 6 3 2 2 3 4 4 5 4 4 5 6 6 7 7 8 9 9 9 13 18 19 15 10 7 4 4 1 -3 -1 4 6 5 6 6 5 4 3 2 3 2 1 3 1 -1 4 6 6 14 19 11 6 3 1 5 11 11 5 -1 0 9 14 10 7 9 5 1 10 21 14 3 -4 -8 -5 0 4 3 1 2 8 9 4 2 9 16 17 24 24 15 2 -10 -1 22 28 24 21 16 11 9 9 10 10 12 14 9 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 2 2 3 5 5 6 5 5 5 4 4 4 4 5 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 6 8 8 5 4 3 4 5 5 5 3 2 2 3 4 4 4 4 4 4 4 5 5 5 6 6 5 6 6 6 6 6 6 7 7 8 8 7 7 7 8 8 9 11 12 13 13 14 15 15 14 12 10 7 5 4 2 3 3 2 2 3 6 9 9 6 4 4 4 4 4 5 6 6 6 6 6 7 9 12 10 6 4 6 6 6 6 6 5 5 4 4 5 6 7 7 8 8 8 6 5 4 3 3 3 3 4 5 6 7 7 7 6 4 4 4 4 5 5 5 5 5 4 4 3 2 3 3 5 5 6 6 6 4 4 3 4 5 7 10 11 11 10 8 6 4 4 7 10 9 7 7 8 9 9 8 6 6 6 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 4 5 5 4 3 3 2 2 3 3 3 5 7 8 8 8 8 8 8 7 7 7 7 8 8 6 5 6 6 6 5 3 2 2 2 3 4 4 5 5 6 7 9 10 9 6 5 6 6 5 4 3 3 3 3 3 3 4 5 7 9 10 12 13 12 8 4 3 3 4 5 5 5 5 6 6 6 4 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 5 5 5 4 4 4 4 5 6 6 7 7 5 4 8 11 10 9 9 9 8 8 8 7 8 8 5 2 3 3 4 4 4 4 4 5 6 7 7 8 9 9 9 10 14 19 19 13 7 5 3 3 1 -4 -2 3 5 6 6 5 5 4 5 6 7 6 4 3 2 2 3 4 5 9 9 5 5 5 3 8 13 9 -2 -10 -6 7 16 14 12 16 8 3 14 18 7 -1 -6 -9 -3 6 8 2 -2 1 5 4 2 4 8 7 10 21 24 15 3 -5 3 19 24 21 17 11 8 8 9 8 9 14 16 10 4 5 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 4 5 5 5 5 5 5 5 4 4 5 6 5 4 4 4 4 4 4 3 3 3 3 2 3 3 3 4 6 8 8 6 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 9 9 8 9 9 10 10 11 12 12 12 13 15 16 16 15 12 9 6 5 4 2 2 4 3 3 3 6 9 8 6 4 4 4 4 5 5 6 6 7 7 7 7 8 11 11 7 5 5 5 6 6 6 6 6 5 5 6 7 7 8 9 10 10 10 9 8 6 4 3 3 3 4 5 6 7 7 6 5 5 5 5 5 5 4 4 5 5 5 4 3 2 2 3 5 5 5 6 5 4 3 3 3 4 7 10 13 14 13 10 7 5 4 5 5 3 4 6 8 8 8 7 6 6 5 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 3 3 3 2 2 3 3 3 4 5 6 7 7 7 7 8 9 9 9 11 13 9 4 3 5 8 10 10 7 4 2 2 3 4 5 5 5 5 6 7 8 8 6 5 5 5 4 3 3 3 3 2 2 3 3 5 6 7 9 11 13 13 11 7 4 4 4 5 4 4 4 5 6 7 6 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 6 7 7 6 5 4 5 12 14 11 10 9 8 9 7 6 8 7 3 3 3 3 4 4 4 4 5 5 6 7 8 10 9 9 9 11 15 20 19 12 5 3 3 2 3 2 4 -1 0 5 6 3 2 3 4 7 8 7 11 20 22 12 4 4 5 3 -0 0 7 12 12 16 16 7 -6 -11 -4 7 18 23 22 20 8 -1 6 8 0 -3 -8 -11 1 16 13 -1 -3 5 4 -0 2 6 6 2 8 22 27 17 2 -2 6 16 19 17 13 8 7 8 8 7 10 14 13 7 4 5 6 7 6 6 5 5 6 6 5 5 5 4 5 5 5 5 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 7 8 6 4 5 6 5 4 3 3 4 4 4 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 10 11 11 11 11 11 12 12 13 13 12 12 13 14 15 14 12 10 8 6 5 5 5 4 4 5 5 5 6 9 9 6 5 5 5 5 6 6 6 6 6 8 8 8 8 9 9 6 6 5 5 5 6 7 8 8 8 8 9 8 7 7 9 11 12 14 14 13 11 8 5 4 2 2 3 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 3 2 2 3 4 4 5 6 6 5 4 3 2 3 5 8 12 15 18 17 14 10 7 4 1 0 3 5 6 8 9 8 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
nan 5 5 5 4 4 4 3 3 3 3 2 2 2 3 3 4 4 5 5 6 7 9 10 11 15 18 10 3 2 6 10 13 14 12 8 3 2 3 3 4 5 5 5 6 6 7 7 5 5 4 4 4 3 3 3 3 3 2 3 3 4 5 5 7 9 11 12 12 9 6 5 4 4 3 3 4 4 6 6 7 6 4 4 3 3 3 2 2 2 2 2 2 2 3 3 2 2 2 3 3 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 6 7 7 6 5 4 4 6 14 17 12 10 10 10 8 7 5 4 3 2 2 3 3 3 4 4 4 4 5 7 9 10 10 9 8 9 11 15 19 18 12 6 3 1 -2 2 6 2 -2 -0 4 4 2 1 1 4 6 7 7 9 16 22 17 9 6 5 2 0 2 8 12 13 19 22 8 -6 -7 0 8 19 26 21 12 -0 -7 1 4 0 -1 -11 -21 -3 21 14 0 1 4 -2 -3 6 9 4 2 12 25 28 17 2 -1 9 16 16 14 10 7 8 9 7 5 9 12 9 5 6 7 7 6 7 7 6 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 3 2 4 6 8 7 6 5 6 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 6 5 6 6 6 6 6 7 7 8 8 9 10 12 13 13 13 14 14 14 14 13 11 11 11 12 11 10 9 8 7 7 7 7 7 5 5 6 6 7 7 8 8 6 5 5 6 6 5 6 6 6 6 7 7 7 8 8 7 6 6 6 5 4 5 7 8 9 9 9 9 8 8 8 9 11 13 15 16 16 14 11 8 6 4 3 3 4 5 6 5 5 5 5 5 5 5 4 4 4 5 5 5 4 3 2 3 3 4 5 5 6 5 5 4 4 3 3 5 8 13 18 21 20 16 11 6 1 0 2 4 4 6 8 9 8 8 7 5 5 5 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 5 4 4 4 4 3 3 2 2 2 3 3 3 3 4 4 6 7 9 11 16 18 13 6 5 8 10 12 14 15 11 5 2 2 3 4 4 5 5 5 6 6 6 5 5 4 4 4 3 2 2 3 3 3 3 3 4 4 4 5 7 9 11 13 11 9 6 5 4 3 4 4 4 5 6 7 6 5 4 4 4 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 6 8 7 5 4 4 4 8 17 17 12 11 12 11 9 7 4 2 1 2 2 3 3 3 3 4 5 5 6 8 11 12 8 7 8 10 12 15 18 17 13 8 4 -0 -3 0 6 3 3 4 3 0 -1 0 3 6 7 8 8 4 1 4 8 8 5 2 2 2 4 6 8 8 12 15 6 -1 -1 1 8 19 22 14 3 -7 -9 1 3 -2 -3 -11 -21 -1 18 11 4 1 -3 -7 -4 4 7 3 6 18 27 26 15 2 1 11 16 14 11 9 8 8 7 5 6 9 10 8 7 7 9 8 7 7 7 6 6 6 6 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 6 5 5 5 4 3 2 2 4 6 8 8 7 6 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 9 10 11 12 14 15 15 14 14 14 13 12 11 10 9 9 8 7 6 6 6 6 7 8 6 5 5 6 6 7 5 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 6 8 9 8 8 8 8 7 8 9 10 11 13 15 15 14 13 13 12 10 8 6 5 5 6 6 6 5 5 4 5 5 5 4 4 4 5 5 5 4 3 3 4 4 4 5 5 5 5 5 5 3 3 3 5 9 14 19 21 19 14 8 4 1 1 3 4 5 6 8 9 9 8 6 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 4 4 4 3 3 3 3 3 3 2 3 2 3 3 3 4 5 6 7 11 15 14 10 8 8 8 8 10 14 13 8 4 3 3 4 4 4 4 4 6 6 5 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 4 5 6 7 9 11 11 10 7 5 5 4 4 5 5 5 5 6 6 5 5 4 4 3 3 3 3 2 2 2 1 1 1 1 1 2 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 7 7 6 4 4 4 6 11 18 17 12 11 12 11 9 5 2 -0 0 2 3 3 3 3 4 5 6 6 6 10 13 12 8 7 9 12 14 17 18 15 10 6 3 1 1 3 7 8 8 6 1 -2 -3 1 6 8 10 13 10 4 2 2 2 1 -1 -1 2 2 3 4 5 5 2 1 2 3 1 0 8 19 20 14 5 -6 -12 -0 6 -2 -5 -6 -5 5 10 7 5 1 -7 -7 -2 3 7 7 12 21 25 21 12 3 3 11 15 12 10 9 9 8 5 4 6 8 8 8 7 8 9 9 7 7 7 7 6 6 6 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 3 4 5 7 9 10 9 7 6 5 4 4 3 2 2 4 6 7 8 6 5 4 4 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 9 10 10 11 13 14 14 14 14 13 12 12 10 9 9 9 8 7 6 5 5 4 4 5 5 5 5 5 5 5 5 4 -0 -4 -1 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 7 8 9 11 11 12 14 16 18 18 16 12 8 6 5 7 8 7 6 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 4 6 9 14 19 19 15 10 6 2 2 3 4 4 5 8 9 9 8 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 5 4 4 3 3 3 4 3 3 3 3 4 4 3 2 2 2 3 3 3 4 7 10 12 11 9 7 6 5 8 12 13 10 5 3 4 4 4 4 4 5 7 7 6 5 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 5 6 8 9 10 10 8 7 5 4 4 5 5 5 5 5 6 6 5 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 7 6 4 4 4 6 9 15 21 17 11 8 9 10 5 1 -2 -3 -0 2 3 3 3 2 3 5 6 6 7 11 13 11 8 6 8 12 17 19 18 11 5 4 1 2 5 6 6 4 3 2 -0 -1 -0 3 7 10 15 19 12 9 12 7 -1 -3 -2 2 6 5 4 5 2 1 -1 -2 2 4 4 7 13 22 23 18 10 -4 -15 -5 8 3 -3 1 8 11 10 4 4 4 -4 -4 3 7 9 10 14 18 20 16 10 4 5 11 13 11 10 9 9 8 4 2 6 8 7 7 8 9 10 9 7 6 7 7 8 7 7 5 5 5 5 4 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 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 3 3 4 5 7 9 10 10 8 6 5 5 4 4 2 1 2 3 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 6 6 6 6 6 7 7 7 7 8 9 8 9 10 11 11 12 13 13 12 11 10 10 9 9 9 9 8 7 7 7 6 4 1 -0 1 2 4 5 5 5 4 4 4 -0 -3 -0 3 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 5 6 7 8 6 5 6 6 5 5 6 6 6 5 4 5 6 6 7 8 11 15 19 21 20 17 13 9 7 7 9 9 8 7 6 6 5 4 4 5 5 6 6 5 4 4 4 4 4 5 5 5 5 4 5 6 6 4 4 4 5 9 14 16 14 11 8 5 3 3 4 5 4 5 7 7 6 6 6 5 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 4 3 3 4 4 4 4 4 5 5 5 4 3 2 2 2 2 2 4 5 8 11 12 10 7 5 5 6 10 13 11 7 4 4 4 5 4 4 7 11 12 9 6 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 5 6 7 8 8 8 6 4 4 3 4 4 5 5 5 6 6 5 4 4 3 2 2 3 3 3 2 2 1 1 1 0 1 1 1 2 1 2 2 2 3 4 4 4 4 4 4 4 5 6 7 5 4 4 6 9 14 22 24 17 8 5 6 6 -1 -3 -3 -3 0 2 3 3 2 2 3 5 5 6 8 11 11 9 7 6 8 12 17 21 16 7 3 6 3 3 6 7 6 1 -1 1 1 2 3 5 6 11 14 14 7 9 10 4 -1 -2 1 6 10 8 5 3 -1 -2 -1 -0 3 5 10 15 20 25 25 21 15 0 -14 -10 3 6 3 3 8 11 11 6 4 4 1 0 4 9 11 11 9 9 13 15 10 4 6 12 14 12 10 10 9 6 3 3 7 9 6 5 7 10 12 11 7 5 6 8 9 9 7 6 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 4 5 5 5 4 3 2 3 4 4 5 8 9 9 7 5 5 5 5 5 4 2 1 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 9 9 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 7 8 8 7 3 0 -0 1 3 5 5 5 4 4 4 4 2 -2 1 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 9 6 3 4 5 5 4 4 5 5 4 3 3 4 4 5 6 8 10 13 16 18 18 15 13 11 10 10 9 8 8 7 7 6 5 5 5 5 6 6 6 5 5 4 4 4 5 5 4 4 4 5 6 6 4 4 4 3 5 9 13 14 12 11 9 7 7 6 5 5 4 6 6 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 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 3 3 3 3 5 7 10 12 12 9 6 5 6 9 11 12 8 5 4 4 5 4 6 11 16 16 11 6 3 4 4 4 4 5 5 5 4 4 3 2 1 2 2 3 3 4 5 6 7 7 6 5 3 3 3 3 3 4 5 6 6 6 6 6 4 3 3 2 2 3 3 3 3 2 1 1 1 0 1 1 1 2 2 2 3 3 3 4 4 4 4 4 5 6 7 6 4 4 5 9 16 24 30 24 12 5 3 4 0 -7 -7 -3 -1 1 2 2 2 2 3 3 4 6 6 8 10 11 9 7 7 9 11 13 16 14 6 3 8 8 6 7 8 9 6 4 5 4 3 3 4 5 8 8 2 3 7 3 1 1 2 5 9 11 8 5 2 -1 -2 -0 2 5 8 10 16 18 17 19 20 17 6 -8 -10 -2 6 10 10 5 1 -1 2 7 6 3 5 8 11 11 9 4 5 16 19 10 5 7 12 14 12 10 9 8 5 4 5 7 7 6 4 5 10 14 12 6 4 6 8 10 9 7 6 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 4 5 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 6 5 4 4 5 5 5 4 4 3 3 3 3 3 3 5 8 8 7 6 5 6 6 5 4 2 3 3 4 4 5 5 4 5 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 9 8 7 7 7 6 7 7 7 7 7 8 9 9 6 4 4 4 4 4 4 4 4 4 4 5 5 -2 -3 5 5 6 6 6 6 5 4 4 5 5 5 5 5 5 6 6 5 5 6 8 6 3 4 5 4 3 3 3 3 3 3 3 3 4 5 6 6 7 9 12 13 14 15 15 16 16 12 10 9 8 7 6 6 6 6 6 7 7 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 3 4 4 7 11 14 14 14 13 12 12 11 9 6 5 5 5 5 4 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 4 4 5 6 7 7 8 7 7 7 6 6 5 5 5 5 4 4 4 4 3 3 4 5 8 11 13 12 8 6 6 7 10 12 10 7 5 5 4 5 7 12 16 14 9 5 4 4 5 6 5 6 6 6 6 5 3 2 2 2 2 2 2 3 4 5 6 6 5 5 4 3 2 3 3 4 5 6 5 5 7 7 6 5 3 3 3 3 4 5 4 3 2 2 1 1 0 1 1 1 2 2 2 3 3 4 4 4 4 5 6 7 7 5 3 4 9 16 23 31 31 18 6 3 3 2 -4 -11 -9 -3 0 2 2 2 2 3 3 3 5 7 7 8 9 11 13 11 9 11 11 9 10 11 6 4 8 10 10 6 5 8 9 8 7 5 3 3 4 5 4 1 0 9 11 5 3 3 5 8 10 9 7 3 1 -0 -1 -1 2 6 7 7 11 11 8 18 27 20 10 -2 -7 -5 4 17 19 5 -7 -11 -4 9 11 8 8 8 9 10 8 5 12 24 23 11 6 8 12 14 13 10 9 7 5 5 7 6 5 4 4 7 13 16 12 5 4 6 8 10 9 7 6 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 6 5 4 4 5 5 4 4 4 3 3 3 3 2 2 3 6 7 7 8 7 6 6 5 5 4 6 7 7 7 6 6 5 5 6 6 5 5 5 5 5 5 5 6 6 7 7 8 7 7 8 8 8 9 9 10 10 10 10 9 8 8 8 7 7 6 6 6 6 6 6 6 7 9 10 9 7 6 5 4 4 4 4 4 4 5 5 4 2 1 4 5 5 6 6 6 6 6 5 5 5 5 5 6 5 6 6 6 6 7 7 5 2 2 3 3 3 2 2 2 2 2 2 3 4 5 6 6 6 7 8 10 11 13 15 17 16 13 11 10 10 9 7 6 6 6 7 9 8 7 5 5 5 6 6 6 6 5 4 3 3 4 4 5 5 3 2 4 4 7 10 12 14 15 14 15 16 15 12 8 6 5 5 4 4 4 3 4 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 6 7 8 9 9 9 10 10 10 8 6 5 5 4 5 5 5 4 3 3 3 3 5 8 11 11 10 7 6 6 8 10 11 9 6 5 5 5 8 11 10 7 5 4 4 5 7 6 6 7 7 8 7 6 4 3 2 2 2 2 3 3 3 4 5 6 6 5 4 4 3 3 3 3 4 5 5 6 7 7 8 7 5 4 3 2 3 4 6 6 4 2 2 2 1 1 1 1 1 2 2 2 3 3 4 4 5 6 7 8 7 5 3 7 14 22 26 26 20 9 4 7 7 3 -6 -11 -8 -2 1 2 2 3 3 3 3 4 6 7 7 8 8 12 16 14 10 11 12 10 8 10 9 7 5 10 11 4 2 3 7 6 7 6 4 3 5 6 3 1 7 16 20 14 8 5 6 9 9 6 4 4 3 2 1 -0 3 5 3 5 9 9 8 25 37 24 11 1 -4 -4 2 12 15 6 -0 -1 2 9 11 10 7 3 9 15 13 12 22 29 22 11 7 9 12 13 13 11 9 7 6 6 6 6 5 4 5 10 17 16 8 3 4 6 9 10 9 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 5 4 5 5 5 4 3 3 3 4 4 3 3 2 2 3 4 7 8 9 8 7 6 6 7 9 10 9 8 7 7 6 6 7 6 6 5 5 5 6 6 5 6 7 7 7 7 7 7 7 8 8 8 9 10 10 10 9 8 8 8 8 7 7 6 6 6 5 5 5 5 5 7 9 9 7 6 6 6 5 5 5 5 5 5 5 4 1 2 4 6 6 6 6 6 7 6 6 5 4 5 5 5 6 6 6 6 7 7 8 7 2 0 3 3 4 3 3 3 3 2 2 3 4 5 6 6 5 5 5 6 9 11 14 16 14 11 10 11 11 11 10 8 6 4 6 10 10 8 6 5 5 6 6 6 6 5 4 3 3 3 3 4 4 3 2 2 3 5 8 11 13 15 15 14 15 14 11 9 7 5 5 5 4 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 9 10 8 7 7 7 8 9 10 12 14 14 11 8 6 5 4 4 5 6 5 4 3 2 2 3 5 8 10 11 9 7 6 6 8 10 9 7 5 5 5 6 8 7 5 3 3 4 6 8 6 5 7 7 7 6 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 3 4 4 5 4 5 6 7 7 9 9 7 5 3 2 2 4 7 8 6 3 1 2 1 1 1 1 1 1 2 2 3 3 4 5 7 7 7 7 6 5 5 10 17 22 23 16 7 5 11 16 13 3 -9 -11 -5 -1 1 2 3 3 3 3 3 4 6 7 8 8 10 14 16 13 10 10 12 11 10 10 10 7 4 8 10 7 4 5 6 5 10 9 4 2 5 6 5 5 9 13 15 15 10 8 6 7 6 3 3 6 8 7 4 5 6 2 1 6 9 9 11 24 32 22 12 4 -0 -1 0 3 4 6 8 11 11 8 10 10 4 1 10 19 17 18 25 26 19 10 7 9 12 13 12 11 10 7 6 6 5 5 4 3 6 13 19 14 6 3 4 7 9 10 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 2 4 6 7 8 8 7 8 9 11 11 10 8 7 7 7 7 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 6 7 7 8 8 9 10 10 9 9 9 8 7 7 6 5 6 6 5 5 5 5 5 4 4 5 6 7 6 6 6 6 5 5 5 5 6 5 4 0 -2 2 6 6 6 6 6 6 7 8 6 3 4 4 4 4 5 5 6 6 7 9 10 6 3 5 6 6 6 5 5 5 4 3 3 4 5 6 6 5 4 3 4 6 8 12 14 14 11 9 9 10 11 11 10 7 6 6 8 9 8 6 5 5 5 6 6 7 6 5 4 3 2 3 3 4 4 3 3 3 3 5 8 10 11 13 12 11 10 8 8 7 5 4 4 4 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 15 14 11 8 7 6 7 8 10 12 15 16 14 12 9 5 3 3 4 5 5 5 3 2 2 3 3 5 8 10 10 8 7 6 6 8 8 8 6 5 5 5 6 7 6 5 5 6 7 7 6 5 5 6 6 4 4 3 3 3 3 3 3 3 3 4 3 4 5 5 5 4 4 4 4 4 4 4 5 5 6 7 8 10 10 8 6 4 3 2 4 7 9 7 2 1 2 2 2 2 1 1 0 1 2 3 4 5 7 8 9 8 7 6 5 6 10 15 20 23 16 6 10 17 16 7 -5 -13 -9 -3 0 1 2 3 4 4 4 4 5 6 8 11 11 13 14 13 11 10 10 11 11 9 9 8 7 8 7 8 9 8 11 7 6 7 5 0 2 5 6 5 3 2 1 1 9 11 8 5 3 1 -0 2 8 11 10 8 9 8 1 1 7 8 6 8 17 21 18 13 7 3 1 -1 -1 1 4 7 9 9 7 11 8 5 3 7 10 13 18 22 20 14 9 7 9 12 12 12 10 8 7 7 6 5 3 3 4 7 16 19 12 4 3 4 7 8 9 9 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 3 2 3 4 6 7 8 8 8 8 9 9 8 7 7 7 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 6 6 7 7 7 8 9 10 10 8 8 8 8 6 6 5 5 5 5 5 5 5 6 6 6 5 4 5 6 7 7 6 5 5 5 5 5 6 6 5 2 -2 -0 4 6 6 5 6 6 7 10 10 7 5 5 4 3 3 4 5 5 7 8 9 8 8 9 10 10 9 8 7 6 5 5 4 5 6 6 6 5 4 4 5 5 6 8 10 13 14 13 11 10 10 9 8 8 7 6 6 7 7 6 5 5 5 5 6 7 7 6 5 4 3 2 3 3 3 4 4 3 3 4 5 6 7 9 9 8 6 5 5 5 5 5 4 4 4 3 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 16 15 12 9 8 8 8 9 10 11 13 15 15 14 12 7 4 3 4 5 6 6 4 3 2 2 3 3 5 8 9 9 9 7 6 7 7 7 6 5 4 4 5 7 8 7 7 7 7 6 5 5 5 5 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 9 10 10 9 7 6 5 4 5 8 9 6 2 0 2 4 4 3 3 2 0 0 1 2 4 6 9 10 11 9 7 6 4 4 7 11 19 24 22 15 15 13 2 -8 -13 -13 -6 0 1 2 3 4 5 5 5 5 6 8 12 16 14 12 12 12 11 10 10 11 11 10 8 8 10 10 8 5 3 3 4 -0 -1 -2 -3 -3 1 4 4 2 -1 -4 -3 1 9 11 6 0 -1 -1 -0 2 6 10 9 12 16 13 6 5 7 7 4 4 10 14 14 9 6 5 4 3 2 2 6 8 5 5 8 12 10 7 6 6 6 10 15 18 16 11 8 7 9 11 12 11 9 8 7 7 6 4 3 4 4 8 15 18 9 3 4 5 7 8 9 9 8 7 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 6 7 7 7 6 6 5 5 5 5 4 4 4 5 5 4 4 4 4 5 5 6 6 5 3 2 2 3 5 6 6 6 6 7 6 7 6 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 6 6 6 7 7 7 7 8 9 9 9 8 8 8 7 6 5 6 5 4 4 4 5 5 5 6 8 9 7 6 6 6 6 7 5 5 5 6 6 6 6 5 4 1 2 4 5 5 5 5 6 7 9 11 11 10 9 8 7 6 5 5 5 6 9 7 7 9 12 14 13 10 8 7 6 6 6 6 7 7 7 6 5 5 5 5 6 7 7 8 10 12 15 15 14 13 11 8 8 8 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 4 4 3 2 2 3 3 4 4 4 4 4 5 5 6 5 4 4 3 4 5 5 4 4 5 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 11 10 10 10 10 10 10 11 11 10 11 12 13 12 9 7 5 4 5 6 6 5 3 2 2 3 3 3 5 7 9 10 10 9 8 7 6 6 5 4 3 4 5 6 7 7 6 6 6 6 6 5 5 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 8 9 10 9 8 7 6 5 5 7 8 6 2 1 3 4 5 5 5 3 1 0 0 1 4 8 11 12 12 9 6 3 2 2 3 8 14 19 21 18 8 -4 -16 -16 -13 -8 -1 2 3 4 5 6 6 7 7 8 9 12 17 16 12 10 11 13 13 9 10 12 12 11 10 10 9 8 7 5 1 -1 -2 -4 -5 -5 -4 -1 1 4 3 1 -2 -5 -5 -3 0 5 1 -5 -3 1 2 3 5 8 11 20 24 19 12 9 9 7 4 4 9 12 10 5 5 9 11 11 9 8 8 8 5 4 7 11 11 9 9 6 9 14 16 16 13 10 8 8 9 11 11 9 8 7 7 7 6 4 4 5 5 6 13 16 9 3 5 6 6 7 8 8 7 7 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 7 6 5 5 5 5 4 4 4 4 5 5 4 3 4 4 4 5 6 7 7 6 4 3 3 4 5 6 5 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 8 7 7 7 6 5 6 7 7 7 8 8 9 9 8 8 7 7 6 6 6 7 6 5 4 3 3 3 3 3 4 8 8 6 6 6 5 5 5 4 4 7 9 7 6 5 4 3 3 6 6 5 5 6 7 7 7 8 10 11 11 11 10 9 7 6 6 6 8 7 6 8 12 14 13 10 7 6 6 7 7 8 9 9 8 6 5 5 5 5 6 6 7 8 8 10 12 15 17 18 16 13 11 10 8 7 6 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 5 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 9 9 9 10 11 11 9 8 9 10 12 12 10 8 6 4 4 5 5 4 2 2 2 2 3 4 5 7 10 13 14 11 8 7 6 5 4 4 4 4 4 5 5 6 6 6 8 8 7 6 5 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 5 5 5 6 6 6 6 6 7 8 8 8 7 6 6 4 5 7 9 7 4 2 3 4 5 6 7 6 3 0 -1 0 5 11 13 11 7 5 4 2 1 -0 1 4 9 13 12 6 -11 -25 -23 -13 -7 -2 1 3 5 6 8 8 8 7 8 11 14 18 19 13 9 8 11 13 12 7 8 13 13 12 12 9 5 6 9 9 8 6 5 4 0 -1 0 2 4 9 6 1 -1 -3 -5 -9 -9 -3 -4 -7 -2 3 3 3 5 8 13 21 23 18 15 13 8 2 2 8 11 12 11 8 9 13 13 9 9 10 8 4 4 3 4 8 10 7 11 15 18 20 17 15 12 10 8 8 9 11 10 8 7 7 8 7 6 5 5 5 5 6 11 15 10 5 6 7 6 7 7 8 7 6 6 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 7 7 7 7 7 6 5 5 5 4 4 5 4 4 5 4 3 3 4 4 4 5 6 7 8 7 6 5 5 5 5 5 5 5 5 6 5 5 6 5 5 5 5 6 6 7 7 7 8 8 7 7 6 6 6 6 7 7 8 7 8 8 9 8 7 7 6 6 6 6 6 6 5 4 3 3 4 3 0 0 4 6 6 6 6 5 4 4 3 3 6 10 8 6 5 3 2 5 7 6 6 6 6 6 6 7 7 7 8 9 10 9 9 8 7 7 7 7 6 6 8 11 13 11 8 6 6 6 8 8 9 9 9 8 7 5 4 4 4 5 5 6 7 8 9 11 13 15 17 19 21 20 17 15 13 10 7 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 6 5 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 17 19 15 12 6 5 8 13 14 10 8 11 15 19 20 19 15 10 10 11 15 18 19 18 15 8 1 -1 2 8 12 12 9 6 8 12 12 14 15 14 13 13 14 14 13 13 13 12 13 15 16 15 14 13 15 15 15 15 14 13 13 11 10 11 11 11 11 10 10 9 8 9 10 13 15 15 14 10 5 3 6 8 9 10 10 12 12 13 14 13 12 10 9 9 11 12 13 13 13 12 12 11 12 12 13 12 13 12 11 12 12 12 12 12 12 12 13 14 14 13 12 12 11 10 10 10 10 11 11 12 13 13 13 13 13 13 13 11 11 10 11 14 18 17 11 6 5 11 17 19 17 14 12 12 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 12 13 14 14 12 12 11 12 14 15 15 14 13 14 15 15 16 16 17 17 16 16 15 15 16 16 16 15 16 16 15 13 11 10 13 21 23 17 16 16 15 14 15 15 15 15 14 14 15 16 17 17 17 15 14 14 15 16 17 17 16 15 15 16 16 16 14 11 8 10 13 14 14 13 14 16 18 19 20 17 15 13 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 15 14 14 13 13 13 12 12 12 12 12 13 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 13 14 14 14 14 14 16 17 16 14 13 14 14 14 13 12 10 8 7 9 11 12 13 13 13 14 14 13 13 13 13 12 13 11 10 11 16 19 19 14 13 13 13 13 13 13 11 8 8 15 23 29 26 19 16 16 14 13 14 14 13 13 14 15 14 13 13 14 15 15 15 13 12 13 13 14 14 14 14 14 14 14 13 14 14 13 13 13 15 18 18 17 15 13 12 14 15 15 14 13 13 14 15 15 14 15 15 14 13 13 13 13 13 14 15 15 14 14 14 14 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 6 8 8 12 15 17 17 17 16 15 9 9 15 15 14 15 16 14 11 7 7 10 15 18 19 15 12 8 11 13 14 15 14 13 13 12 14 14 14 15 15 16 16 15 13 13 13 12 11 10 10 10 10 11 11 11 11 11 10 8 8 7 8 8 8 9 12 14 15 12 7 5 5 6 9 11 12 13 14 15 15 14 13 11 10 10 10 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 13 15 15 15 13 11 10 10 10 10 11 12 12 12 12 13 13 14 13 11 7 9 15 16 16 15 15 14 12 11 7 9 14 18 16 13 12 12 12 12 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 11 11 12 13 14 15 14 13 11 7 8 15 26 28 22 18 16 16 15 14 14 14 15 15 17 16 15 13 12 9 10 15 18 16 16 16 17 16 15 14 13 14 14 13 13 14 15 17 17 16 14 13 13 14 15 17 16 14 14 15 16 17 19 18 15 13 14 15 15 14 13 12 15 18 21 19 16 14 14 14 13 14 15 15 14 14 14 14 15 15 15 15 14 14 14 15 14 14 14 13 13 12 12 11 11 12 12 12 11 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 13 13 12 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 16 16 15 13 13 16 16 12 10 7 5 5 7 11 13 13 13 13 13 13 13 12 11 10 11 11 13 15 17 18 20 20 17 14 14 13 13 13 13 14 13 13 14 17 19 21 19 15 14 14 14 14 14 14 14 14 15 15 14 14 14 14 15 15 14 13 13 13 14 14 14 14 14 13 13 15 15 14 14 14 13 13 15 18 20 18 14 11 12 14 14 13 14 13 13 14 14 14 14 15 15 14 14 14 13 13 13 14 15 15 15 15 14 14 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 11 9 10 13 15 16 10 8 11 22 23 13 11 10 14 16 15 12 8 8 10 13 15 15 13 13 13 12 13 14 14 14 15 15 15 14 12 11 10 10 9 8 8 8 8 9 11 11 11 9 7 7 6 6 8 7 8 9 11 12 13 13 10 6 5 7 9 12 13 14 14 15 16 16 15 12 11 10 11 12 12 12 12 12 12 11 11 11 12 12 12 11 11 10 11 11 11 11 12 13 13 15 15 14 13 11 10 10 11 11 13 13 12 13 13 13 14 14 13 11 7 10 17 18 17 15 14 12 13 12 10 10 13 16 15 12 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 12 12 12 12 13 14 14 14 12 9 3 -1 5 21 34 34 30 22 16 15 15 14 14 14 14 16 16 16 15 14 13 12 12 13 13 14 16 16 15 15 15 14 14 13 13 13 12 13 15 16 16 14 12 12 12 12 15 16 15 14 14 13 13 18 22 18 16 15 15 15 14 12 7 4 8 12 17 18 17 17 16 15 15 15 15 15 14 14 14 15 14 15 15 15 15 14 14 14 14 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 11 11 10 10 11 12 12 11 11 11 12 11 11 11 11 11 10 11 12 12 12 11 11 12 12 12 12 13 13 13 14 14 15 15 15 15 15 14 15 15 15 15 15 12 8 6 5 6 8 11 13 14 13 13 13 13 13 12 11 10 10 11 12 15 18 22 21 17 15 13 14 14 14 13 13 13 13 14 13 13 14 14 15 16 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 14 13 13 13 14 14 15 15 14 13 13 13 14 14 14 14 14 13 14 15 18 20 17 13 11 12 14 14 14 13 14 13 13 14 14 15 15 15 14 14 14 14 14 15 14 14 14 14 14 15 15 14 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 16 8 9 19 17 14 8 9 10 11 9 6 5 9 12 14 14 14 12 12 12 12 11 11 11 12 13 13 13 12 11 9 9 8 7 7 7 6 5 7 9 9 9 9 7 7 7 8 8 8 9 11 12 13 13 12 10 6 6 7 9 11 12 13 14 15 15 15 14 12 11 12 12 12 12 12 11 11 12 12 11 12 12 12 12 11 11 11 10 11 11 12 12 12 14 14 14 13 12 11 11 10 12 13 13 13 13 13 12 12 13 14 14 12 11 13 15 16 15 14 13 12 13 14 13 13 13 13 12 11 11 11 12 13 13 14 13 13 12 12 13 13 14 14 14 14 13 13 13 13 12 12 13 13 12 12 12 13 14 13 13 13 13 12 8 2 -1 5 18 28 34 34 26 18 14 14 15 14 14 15 16 16 16 16 16 15 14 13 13 13 15 15 15 15 17 17 17 15 14 15 14 13 14 15 15 15 14 13 12 11 13 15 16 16 15 11 8 11 17 17 16 15 15 15 16 15 11 6 7 9 13 15 16 18 17 16 16 16 16 15 14 14 14 14 14 13 14 15 14 14 13 13 13 13 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 13 13 13 13 14 13 10 10 10 11 10 10 10 9 10 9 9 9 9 8 8 9 9 8 9 10 9 9 10 10 11 11 11 11 11 11 12 12 11 11 12 12 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 14 15 15 15 15 15 15 15 16 16 16 15 14 12 11 9 9 11 13 13 14 14 13 13 12 12 12 11 11 11 10 10 12 14 16 20 22 19 16 14 14 15 14 13 13 13 13 13 14 13 13 14 15 16 15 15 14 14 14 14 14 13 13 14 14 14 14 15 14 14 14 14 13 12 13 14 15 15 15 14 14 13 13 13 14 14 13 14 14 14 15 17 21 18 13 12 11 11 13 13 14 14 13 14 15 15 15 16 15 14 14 14 13 14 16 16 15 15 14 14 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 13 16 15 14 15 15 13 10 10 10 10 11 10 11 11 11 12 12 12 13 12 12 11 11 9 7 6 6 6 5 6 7 9 9 10 9 8 9 10 9 9 10 11 12 13 13 11 9 7 7 9 10 10 11 13 13 13 13 14 13 11 11 10 10 11 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 12 11 11 12 13 13 14 14 13 13 12 11 11 12 14 14 14 13 12 12 13 13 14 14 14 13 13 13 14 14 14 13 12 12 13 13 13 14 13 12 12 11 11 12 13 13 14 13 13 12 12 12 12 13 14 15 14 13 14 14 13 13 13 13 14 13 13 12 13 13 12 13 13 13 14 15 12 5 0 2 10 21 37 37 22 15 14 14 14 14 14 15 16 17 18 18 17 16 15 14 14 16 16 15 15 18 24 26 22 17 18 17 16 15 15 14 13 14 13 12 12 12 13 14 15 15 13 11 11 13 15 15 15 15 15 15 16 17 14 11 9 9 10 12 15 16 16 15 15 15 16 15 15 15 14 14 13 13 14 14 13 13 13 14 14 14 14 14 13 12 11 11 11 11 11 12 12 12 12 11 12 12 12 12 13 13 13 13 14 15 14 12 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 13 14 14 14 15 15 15 15 15 15 15 16 17 17 15 13 12 11 11 11 12 13 13 13 13 13 13 13 12 11 11 11 11 11 10 11 12 15 18 22 22 20 17 15 14 14 13 13 13 14 13 13 14 14 14 15 16 16 14 14 14 14 13 13 13 13 13 13 14 14 14 15 15 15 15 14 13 13 13 14 14 14 14 13 13 13 14 13 13 14 14 13 13 15 16 17 18 19 16 14 11 10 12 14 15 14 13 13 14 15 16 16 16 15 14 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 11 11 11 12 12 12 13 14 14 14 14 13 12 12 12 11 10 9 8 8 10 11 10 11 11 11 11 12 12 11 10 10 11 12 13 13 11 8 7 7 9 10 11 11 12 13 12 12 13 12 11 10 10 10 11 11 11 12 12 12 12 12 13 13 13 12 11 11 11 12 12 12 12 12 14 14 14 14 13 12 12 12 12 13 13 14 14 14 13 12 12 12 13 14 13 13 13 13 14 13 13 13 13 12 11 12 13 14 14 13 12 12 12 12 13 13 14 14 13 13 12 12 12 13 14 14 14 13 13 14 14 14 13 13 14 14 14 13 13 13 13 13 13 13 13 14 15 13 10 3 -1 4 28 42 31 22 16 14 14 14 14 14 15 17 17 17 17 18 17 16 16 17 16 13 9 10 20 31 29 23 23 20 17 16 16 14 13 12 12 13 13 13 13 13 14 14 13 13 13 13 13 14 13 13 13 13 14 14 12 11 10 9 9 9 11 13 14 15 15 15 15 16 16 16 16 15 15 14 14 13 14 14 13 13 13 12 12 11 11 12 12 12 12 12 12 12 13 14 13 14 15 15 16 15 15 16 16 15 14 14 12 11 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 11 12 12 12 12 12 11 11 11 12 12 13 13 13 13 14 15 15 16 15 15 15 15 15 15 16 17 15 12 10 10 11 11 11 12 13 14 13 13 13 12 12 11 11 11 11 10 11 12 12 14 16 21 24 24 22 17 14 14 13 13 13 13 13 13 13 13 14 14 14 15 15 14 13 13 13 13 13 14 14 14 14 14 14 15 14 14 15 15 15 15 14 14 14 15 15 13 13 13 13 13 13 14 14 14 13 13 13 14 16 18 18 17 14 13 13 13 14 15 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 13 14 14 14 13 12 10 9 9 10 12 12 13 16 17 18 20 23 27 29 31 35 33 28 26 26 24 23 22 21 21 20 19 15 12 10 11 13 13 11 8 4 3 3 4 5 5 4 4 3 2 0 0 0 0 0 0 0 1 2 2 3 3 4 5 6 6 6 6 6 6 6 5 6 7 7 6 5 3 0 0 0 1 1 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 1 0 0 0 0 4 15 27 34 39 37 30 20 13 9 7 6 6 11 16 11 2 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 18 17 15 20 25 23 21 22 22 21 21 22 21 19 18 19 18 18 20 23 24 20 12 3 0 0 0 2 11 21 31 38 42 45 43 28 9 1 9 32 47 45 35 29 32 42 57 68 59 42 34 29 20 10 3 0 0 0 3 9 11 5 1 6 18 29 30 29 17 11 17 32 48 56 58 51 45 35 19 8 2 4 2 0 0 0 0 0 0 3 2 0 7 28 31 35 49 68 86 88 90 89 82 75 71 74 85 105 124 136 138 129 111 96 100 111 111 105 113 131 141 143 141 134 125 122 123 115 111 117 122 120 114 105 102 100 90 84 89 100 109 111 113 130 158 165 149 136 134 133 119 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 9 9 10 12 14 15 14 13 12 12 12 11 14 15 16 16 16 18 21 24 26 30 32 32 30 26 22 19 18 17 16 14 12 9 7 5 4 5 6 5 3 1 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 4 5 6 6 5 3 1 1 4 5 4 3 2 0 0 0 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 4 16 26 33 38 39 33 24 17 14 14 13 16 23 28 18 5 1 0 0 1 1 1 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 18 17 19 21 22 22 21 17 15 15 18 19 16 16 17 18 20 24 25 24 18 9 2 0 0 2 8 24 35 41 45 48 51 49 39 16 3 5 29 50 48 36 26 28 35 40 48 48 42 38 34 30 16 2 1 0 0 0 0 1 0 0 2 10 18 17 12 1 0 1 2 14 27 36 35 40 46 44 28 17 16 14 14 3 0 0 0 0 2 1 5 12 38 30 30 54 82 96 95 89 80 67 64 58 66 83 104 124 134 135 128 115 103 98 99 105 112 120 126 135 148 157 153 145 144 143 135 131 131 135 134 124 115 109 105 95 80 77 88 103 115 125 150 182 186 166 147 135 130 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 8 9 10 12 14 16 16 14 13 12 11 12 14 15 15 14 14 16 22 24 26 27 26 25 22 19 14 11 9 8 8 7 5 4 4 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 3 2 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 21 27 32 35 33 27 22 21 22 23 27 35 37 27 14 7 5 4 4 4 4 4 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 16 18 19 18 17 15 10 6 6 9 9 8 13 18 21 24 27 26 22 15 6 1 0 0 5 16 31 39 43 47 53 58 55 45 29 15 13 31 49 47 30 14 17 27 36 39 40 41 40 37 34 29 17 7 4 2 0 0 0 0 0 0 3 8 12 8 0 0 0 0 0 4 5 8 14 22 34 38 34 31 33 34 23 16 19 11 3 7 13 24 29 38 35 42 53 66 69 65 61 50 43 51 51 56 81 110 129 135 132 124 114 105 95 91 94 101 103 105 113 126 136 138 136 139 143 137 134 131 126 120 113 111 112 113 110 100 88 90 103 120 135 157 182 193 184 166 146 130 121 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 9 9 8 9 10 11 13 13 13 13 12 11 11 12 13 14 14 13 14 19 20 21 22 22 20 19 17 11 6 3 2 3 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 15 19 23 27 29 28 27 29 31 33 37 43 43 38 27 17 13 7 7 6 7 8 7 6 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 14 19 20 17 13 10 4 1 0 2 1 8 20 26 26 26 26 24 19 14 5 0 0 0 4 15 26 36 42 48 58 66 62 51 42 32 29 36 47 46 32 18 13 19 28 30 34 37 39 39 36 31 24 14 12 8 6 2 0 0 0 0 0 0 8 8 1 0 0 0 0 0 0 0 1 3 6 15 26 35 40 42 41 38 34 20 6 8 22 34 34 33 35 34 32 31 27 26 35 51 64 74 73 67 82 111 130 136 131 124 114 106 99 95 98 97 92 88 95 108 116 113 111 111 112 114 114 110 102 92 86 86 90 98 106 107 100 95 102 118 135 150 170 186 190 184 164 139 124 119 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 8 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 12 12 14 15 16 16 16 17 17 14 13 10 6 3 1 1 0 0 1 1 2 2 2 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 1 1 1 2 1 1 1 1 2 1 1 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 2 8 11 14 16 18 21 24 29 35 38 41 44 48 50 48 38 25 18 11 9 10 10 11 8 6 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 10 18 21 16 12 10 5 1 0 1 6 21 37 40 30 26 24 21 17 13 7 1 0 0 4 12 19 29 39 46 55 62 60 54 49 44 39 41 48 50 37 24 17 20 20 19 24 28 29 32 29 23 26 16 15 19 23 10 6 7 2 1 0 0 2 4 1 0 0 0 0 0 0 0 0 0 0 0 4 13 26 39 49 50 41 19 2 2 11 22 23 13 12 15 27 44 35 12 20 67 97 107 95 79 84 100 122 134 133 129 119 110 102 100 104 103 97 93 99 109 112 105 99 96 93 94 90 83 75 68 65 62 63 70 82 95 98 93 95 110 129 143 158 169 174 183 178 149 129 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 9 9 10 10 10 9 8 8 8 9 9 10 10 10 9 8 9 10 11 13 14 14 13 13 13 12 11 9 6 4 2 1 1 1 2 2 2 2 2 2 1 1 1 1 1 2 2 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 2 6 9 11 11 11 12 15 22 31 38 44 48 52 55 53 42 29 19 13 11 12 13 12 9 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 8 20 22 15 12 14 12 4 1 5 21 42 50 41 28 23 21 19 17 14 9 3 0 0 2 8 14 20 28 42 48 52 52 50 48 46 45 48 53 51 41 34 30 28 22 17 18 20 19 19 16 15 17 16 16 21 29 18 14 13 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 26 48 60 50 26 6 0 1 5 6 2 2 12 42 76 69 35 33 70 105 120 98 81 85 94 106 119 127 131 129 118 107 104 107 108 110 114 122 126 120 110 102 98 96 92 82 70 58 49 42 40 40 44 54 69 82 87 90 102 123 138 149 154 146 162 176 149 131 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 10 10 10 10 11 11 10 10 8 8 7 8 8 9 9 9 8 8 8 10 11 13 14 14 14 13 13 12 10 8 6 5 4 3 3 2 2 2 2 2 1 1 1 0 1 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 2 2 2 2 2 2 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 5 8 9 8 6 5 6 10 18 28 37 45 50 53 50 39 27 18 12 13 14 15 12 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 24 25 18 15 21 23 14 8 17 36 50 44 29 21 20 19 18 17 15 10 5 2 0 0 3 9 19 31 39 43 45 45 43 42 44 48 55 60 55 45 38 33 29 20 15 16 16 14 12 10 11 12 14 15 16 20 16 14 14 14 12 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 31 51 52 27 12 0 0 0 0 1 9 32 59 98 96 68 66 93 126 131 103 93 91 92 94 102 111 119 129 126 113 106 108 112 121 133 143 140 128 115 107 102 98 91 80 65 53 45 37 33 31 30 33 45 60 74 82 94 112 124 134 139 129 137 147 141 129 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 9 10 9 9 10 11 11 11 10 9 8 7 7 7 8 9 9 9 9 10 11 13 14 14 14 14 13 13 12 10 8 7 6 5 4 3 2 2 2 1 1 0 0 0 0 0 1 1 1 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 4 2 1 1 2 6 14 24 32 38 41 38 30 22 16 13 14 15 14 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 24 24 18 16 24 32 29 26 31 38 36 27 21 20 20 19 18 17 17 15 9 5 0 0 1 5 16 28 36 40 41 41 38 38 41 48 58 68 60 48 41 35 28 16 13 14 14 12 6 1 3 3 6 9 11 12 12 12 13 13 13 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 25 26 13 1 0 0 0 0 0 18 64 95 108 98 89 106 134 140 122 110 100 95 95 96 103 110 119 121 115 108 109 114 126 142 149 139 124 112 105 102 97 89 78 66 58 55 51 50 46 40 34 35 44 57 69 82 93 102 114 121 113 120 141 139 125 119 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 9 10 9 8 9 10 11 11 10 10 9 8 7 6 7 8 8 9 9 10 10 12 13 14 14 15 14 14 13 12 11 10 8 7 5 3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 1 0 0 0 0 1 4 11 18 24 26 25 22 18 14 14 14 13 9 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 3 8 17 23 22 15 12 20 31 34 34 32 29 23 18 18 19 18 17 16 16 18 19 15 9 2 0 0 1 5 22 32 36 38 37 34 33 36 41 50 59 61 53 46 39 30 16 13 13 12 9 3 0 0 0 0 2 4 5 4 4 8 10 10 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 15 16 4 0 0 0 0 0 2 23 64 96 105 100 110 129 144 143 133 117 103 98 100 106 111 115 118 116 110 109 113 125 143 150 136 115 104 101 100 94 87 79 71 70 73 76 78 75 69 61 52 46 50 58 67 74 83 100 113 108 103 121 130 124 119 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 8 9 9 7 8 10 10 11 10 10 10 9 8 7 6 6 7 8 8 9 9 10 10 12 13 14 14 14 14 13 12 10 8 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 1 3 8 13 16 18 17 15 13 12 11 9 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 1 4 14 22 21 14 10 15 23 27 28 25 20 15 10 8 11 8 8 12 12 15 17 18 12 4 0 0 0 0 14 26 31 32 31 28 26 25 26 32 38 47 50 49 44 37 23 16 14 11 7 2 0 0 0 0 0 0 1 0 0 1 1 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 6 1 0 0 0 0 0 6 37 78 97 89 89 114 142 156 152 135 111 100 104 110 114 119 122 121 113 110 112 122 138 141 126 106 96 95 93 89 85 79 78 86 96 100 100 97 93 89 82 70 61 61 63 65 72 92 112 108 91 101 123 130 124 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 6 8 8 6 6 8 10 10 9 10 10 10 10 8 6 5 6 6 6 6 7 8 8 9 10 12 13 13 13 13 12 11 9 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 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 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 13 13 12 10 9 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 8 20 21 16 11 14 19 21 21 19 15 7 3 1 1 1 3 5 6 8 8 12 10 5 0 0 0 0 6 15 21 23 24 21 18 16 15 16 17 22 32 40 42 40 30 20 15 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 0 8 5 1 0 0 0 0 0 0 18 56 82 75 64 83 124 152 157 146 123 108 108 112 114 118 123 120 114 112 112 117 128 130 120 104 92 87 84 82 80 78 82 97 110 113 109 104 101 102 105 100 86 80 75 70 72 92 115 106 77 91 129 140 134 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 5 6 6 5 5 7 9 8 8 8 9 10 10 10 8 6 5 5 5 4 4 4 5 6 6 7 9 10 11 12 12 12 11 10 9 8 7 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 8 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 19 16 14 18 21 20 19 16 11 4 1 0 0 0 0 1 3 3 4 4 5 4 0 0 0 0 1 6 10 12 14 14 13 10 8 8 8 9 10 17 21 25 25 20 17 13 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 2 2 0 0 0 0 0 0 0 7 34 67 64 42 41 86 126 149 150 133 113 109 110 112 117 124 115 107 107 112 110 112 116 114 102 89 80 74 73 75 76 83 99 116 120 116 108 103 101 105 101 94 87 76 71 77 100 118 105 84 95 126 145 142 133 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 6 6 5 6 5 4 3 6 10 8 6 6 8 9 10 10 9 7 6 5 4 3 3 3 4 4 4 4 5 6 8 10 11 11 11 11 10 9 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 2 4 5 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 6 11 14 17 22 23 22 19 13 7 6 4 2 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 2 3 5 7 7 5 2 2 3 3 3 3 5 7 10 12 14 14 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 0 0 0 0 0 1 12 54 59 30 8 54 93 126 139 136 120 111 107 109 116 123 120 111 108 110 107 100 97 98 93 83 74 69 68 70 76 81 97 120 129 121 112 104 94 92 80 74 75 69 65 76 102 118 108 98 107 130 146 142 132 128 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 5 6 6 6 5 4 2 6 10 9 6 5 6 7 8 9 9 8 6 5 5 3 2 1 2 2 2 2 2 3 4 6 7 7 8 8 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 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 1 2 2 1 0 0 0 0 0 0 2 3 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 1 1 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 3 7 12 16 19 20 19 14 7 8 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 1 1 3 6 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 21 7 0 0 0 0 0 0 30 46 28 22 45 72 100 117 120 115 108 104 106 111 117 121 119 115 112 109 101 91 88 85 77 70 67 66 67 73 75 92 120 136 129 115 103 91 76 58 52 58 64 70 83 106 121 114 107 116 135 146 141 132 129 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 0 0 2 3 4 5 4 4 5 8 9 7 5 5 6 6 7 7 7 5 4 4 3 1 0 0 1 1 0 1 1 2 3 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 5 6 4 1 0 0 0 0 0 0 1 1 0 0 1 3 6 8 11 13 14 13 9 11 10 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 38 25 0 0 0 0 0 0 8 18 32 39 48 64 89 109 112 105 98 95 99 104 106 110 116 117 115 114 112 106 96 88 78 73 69 66 66 70 72 85 112 136 140 123 102 86 69 50 41 50 69 86 102 112 120 114 109 118 139 147 142 139 137 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 0 0 0 1 2 3 4 6 7 7 6 5 5 5 5 5 5 5 5 5 4 4 3 1 0 0 0 0 0 0 0 1 2 4 4 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 1 4 7 8 9 7 6 5 7 8 5 1 0 2 3 3 3 3 3 2 0 2 3 4 5 6 6 7 8 9 8 11 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 34 26 4 0 0 0 0 0 1 1 18 39 49 61 83 110 128 126 109 96 97 101 99 98 101 108 112 115 119 122 116 101 86 79 74 68 68 70 70 76 98 131 148 136 109 86 67 51 41 47 78 107 113 111 112 109 110 124 143 143 140 144 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 1 2 7 11 9 4 2 2 3 4 4 4 3 4 5 6 5 2 1 0 0 0 0 0 0 0 0 0 2 4 5 5 5 5 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 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 10 10 9 7 6 6 8 9 6 3 3 5 6 6 6 5 3 2 1 2 2 3 5 6 6 6 6 6 7 8 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 2 6 8 5 0 0 0 0 0 0 0 0 0 0 0 0 2 16 12 2 0 0 0 0 0 0 0 9 31 52 59 71 101 139 155 139 113 101 98 94 85 86 95 104 110 118 128 131 115 93 80 73 67 68 71 72 74 87 114 139 144 126 99 74 59 46 46 79 123 130 119 119 120 124 134 140 137 136 141 147 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 0 0 0 0 5 12 13 6 1 0 1 1 2 2 2 2 3 6 6 3 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 5 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 10 10 9 8 7 7 9 13 13 9 6 6 7 7 7 6 5 4 2 2 2 1 1 3 5 6 6 6 6 6 6 5 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 4 6 8 8 10 9 4 0 2 8 15 14 6 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 0 0 0 4 6 0 0 0 3 23 54 56 54 83 131 156 156 134 113 99 92 86 84 92 100 104 110 122 132 124 101 81 70 65 67 71 75 78 81 95 122 144 141 123 94 74 58 52 74 105 126 132 137 142 144 140 134 129 129 135 142 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 0 0 0 0 0 0 2 7 10 7 4 3 2 0 0 1 0 0 2 5 7 5 2 0 0 0 0 0 0 0 0 0 0 1 4 6 6 7 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 7 5 5 4 3 3 2 2 2 2 2 1 0 0 0 1 1 0 0 0 0 0 0 2 5 8 7 6 6 7 8 10 16 26 24 13 9 9 9 8 7 7 6 4 3 3 2 0 0 1 2 4 4 5 4 4 3 3 3 4 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 13 12 9 9 12 14 16 18 21 20 10 2 6 20 30 23 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 24 6 0 0 4 27 56 55 46 73 118 134 145 146 133 115 104 101 102 104 106 104 106 116 131 134 115 86 69 65 66 71 78 85 80 79 100 130 140 139 125 103 83 71 74 85 98 116 132 142 145 140 128 123 126 133 141 144 nan nan nan 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 5 2 1 0 0 0 0 0 3 5 8 8 2 0 0 0 0 0 3 6 6 2 0 0 0 0 0 0 1 0 0 0 0 1 4 7 7 6 6 5 4 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 5 5 6 6 6 6 5 5 5 4 2 1 2 0 0 1 0 0 0 0 0 1 3 5 5 3 3 5 8 10 12 18 28 24 12 10 9 9 8 7 8 7 5 4 4 2 1 0 0 0 1 1 2 2 2 2 2 2 2 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 15 18 20 22 21 22 25 25 24 34 30 12 5 19 34 31 14 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 2 12 37 59 58 19 0 0 0 26 59 58 50 73 113 129 133 145 146 137 130 128 128 126 120 111 105 109 126 138 129 99 75 65 63 68 76 84 80 73 81 103 127 143 147 137 117 102 95 93 95 106 122 133 139 135 126 120 123 130 136 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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