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 4 4 5 6 6 7 6 7 8 8 7 6 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 5 5 6 6 5 5 4 4 4 5 6 8 8 8 7 6 6 6 7 7 7 7 7 7 6 5 5 5 5 4 3 2 4 5 8 0 4 6 2 3 7 3 9 13 8 3 3 4 4 7 8 1 3 10 8 -0 4 6 3 2 5 9 6 -2 -1 11 17 6 -0 6 8 5 6 3 -1 4 7 2 2 3 3 4 6 11 7 -1 0 4 5 4 0 -0 3 6 5 7 22 41 35 17 8 4 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 8 9 8 8 8 8 8 8 9 11 12 12 11 10 9 8 6 6 6 7 8 7 6 6 5 5 5 5 5 4 4 4 7 7 5 5 5 5 5 6 6 6 8 6 2 3 4 3 3 3 3 5 5 4 4 4 3 3 3 4 4 3 2 2 2 2 3 4 4 2 1 1 1 3 4 4 4 4 5 6 7 8 9 8 7 5 3 3 4 5 6 6 5 6 8 10 10 7 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 7 17 27 19 7 5 8 6 0 1 -4 -5 -11 -5 2 -2 0 4 4 3 1 2 2 -5 -9 -7 -5 -5 -5 -3 2 4 4 5 7 8 10 13 16 15 9 6 8 10 11 12 13 14 14 13 12 11 8 6 6 8 13 17 18 15 11 7 6 5 3 2 1 -2 -2 -0 2 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 5 6 6 5 5 7 8 8 7 5 5 5 4 4 3 3 4 5 5 5 5 5 5 4 2 2 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 2 2 3 3 3 3 3 3 4 3 3 2 3 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 5 6 6 6 6 6 6 5 4 4 4 5 6 7 9 9 8 6 6 6 6 7 7 7 7 7 6 5 4 5 6 7 6 1 5 12 10 4 5 6 3 4 8 3 2 5 9 10 8 2 2 11 12 6 4 5 4 4 10 10 8 6 5 7 8 5 1 6 15 14 8 7 7 9 10 6 3 9 10 4 1 -0 -2 1 7 9 4 -0 -0 2 4 6 8 8 7 8 13 22 34 36 22 9 5 3 2 1 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 8 8 8 7 7 7 7 7 8 10 11 11 11 9 7 5 3 2 2 4 7 6 5 5 4 5 5 5 4 3 3 5 6 6 5 5 5 5 6 6 5 6 6 0 -1 3 3 2 2 3 4 4 5 4 3 3 3 3 3 4 4 3 2 2 2 3 4 4 3 2 2 2 3 3 4 4 4 5 6 7 8 9 9 9 7 5 4 3 3 5 6 5 5 5 6 7 6 5 4 3 3 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 8 17 25 23 16 12 6 6 11 7 -1 1 1 1 1 3 3 4 6 6 5 2 2 1 -1 -0 -2 -3 -3 0 3 5 5 6 6 6 6 7 8 6 3 4 5 6 8 10 11 12 14 13 11 7 5 5 7 11 16 21 19 13 6 5 5 5 5 2 -4 -5 -3 -0 2 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 5 6 6 6 5 5 7 9 8 6 5 5 5 4 3 3 3 5 7 6 5 5 5 4 3 3 4 4 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 4 4 3 3 3 2 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 5 5 4 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 4 4 4 5 6 8 9 8 7 6 6 6 7 7 7 7 7 6 4 2 3 7 15 13 4 8 18 9 5 6 3 3 4 5 1 -3 -1 5 10 11 3 2 9 12 8 3 1 2 8 13 11 10 9 6 6 9 10 12 10 7 9 11 9 6 9 6 2 5 10 12 8 1 -6 -6 3 7 6 6 6 4 4 5 6 8 8 7 12 25 38 36 22 9 5 3 2 1 1 2 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 5 5 5 6 7 8 8 7 7 6 6 7 7 9 10 10 9 8 5 3 2 2 1 -0 -2 3 5 4 4 5 5 4 4 3 4 5 6 5 5 5 5 5 5 5 5 5 5 -3 -7 -0 3 1 0 2 4 5 5 4 3 3 3 3 4 5 4 3 2 3 3 5 5 5 4 3 3 3 3 4 4 4 4 5 6 8 9 10 11 11 8 6 4 3 4 5 6 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 4 4 4 6 13 19 22 17 8 7 7 4 1 4 4 4 3 4 4 5 6 5 6 5 5 6 5 3 2 2 1 2 4 5 5 5 5 6 6 4 4 4 3 4 5 5 5 6 8 8 9 9 8 6 5 4 4 7 11 16 15 10 6 5 6 6 7 5 0 -3 -3 -2 0 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 4 6 7 6 5 5 6 7 7 6 6 5 5 5 4 3 3 4 6 7 7 6 5 5 4 4 4 4 3 3 3 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 5 5 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 4 4 4 4 5 7 8 9 8 6 6 6 6 7 7 7 6 6 4 1 -0 3 16 15 4 6 13 5 4 8 6 1 4 4 -2 -5 0 5 9 9 3 3 7 8 4 4 2 1 5 9 10 10 9 7 6 8 9 12 13 10 10 10 8 9 9 1 -6 2 10 12 9 2 -5 -3 3 6 6 9 9 7 5 4 4 6 6 11 25 38 38 24 10 5 4 3 2 2 2 2 3 2 3 3 3 3 3 3 3 4 3 4 4 5 4 4 5 5 6 6 6 7 8 7 7 7 7 7 7 8 9 9 8 7 5 4 3 3 2 -2 -4 3 7 5 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 4 5 1 -5 -3 2 3 1 2 4 5 5 5 4 4 4 5 6 6 6 4 3 3 5 6 6 5 4 3 3 3 3 4 4 4 5 6 7 9 10 12 13 13 10 7 4 3 4 6 6 5 4 5 5 5 5 5 4 4 4 3 3 4 4 4 4 5 4 4 5 5 5 4 4 4 3 3 3 3 2 3 7 15 17 12 8 7 3 1 2 5 5 4 4 4 6 8 6 6 6 7 6 5 5 5 5 4 4 5 5 4 5 6 6 6 4 3 3 4 5 6 5 5 6 6 6 5 5 4 4 4 4 4 5 7 11 11 7 5 5 6 6 8 9 6 3 2 1 1 2 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 nan 3 3 2 2 4 6 6 6 6 5 5 5 6 6 6 5 5 5 5 4 3 3 4 6 8 8 7 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 3 3 3 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 4 4 4 4 6 7 9 8 7 6 6 7 7 7 7 7 6 4 2 -2 -1 8 10 2 4 8 2 2 4 3 -1 6 10 4 -1 2 7 10 4 0 0 4 3 1 4 2 1 4 5 3 3 6 7 6 5 3 6 9 15 17 11 7 7 5 4 1 4 8 8 6 3 3 8 5 2 6 9 9 6 3 2 3 5 7 18 33 36 25 11 5 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 7 7 8 7 7 7 7 7 8 9 8 7 6 5 4 3 2 3 5 5 7 6 4 3 4 4 4 5 5 5 6 6 6 5 5 5 5 5 4 4 4 3 1 -3 0 7 8 4 4 4 4 4 4 4 6 7 8 8 7 5 4 4 5 6 5 4 3 3 3 3 4 4 4 5 5 7 8 10 11 13 15 14 12 7 5 4 6 7 7 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 -1 -2 -1 -1 -1 0 5 10 10 7 6 4 3 5 8 8 5 4 2 4 9 10 7 4 6 8 9 9 8 6 6 5 5 4 4 4 6 6 6 5 4 3 4 5 6 6 5 5 5 5 4 4 4 3 4 4 3 4 5 7 8 8 6 4 5 7 9 11 12 11 10 6 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 2 2 3 5 5 6 6 5 5 4 4 4 5 5 5 6 6 6 5 3 2 4 6 8 8 7 6 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 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 4 4 5 5 4 4 4 4 5 5 5 5 5 6 5 5 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 5 7 8 9 8 7 6 7 7 7 7 7 6 5 3 -0 1 5 5 1 4 7 3 4 3 -0 1 5 9 10 8 3 7 9 4 2 1 -2 -3 2 4 4 3 7 4 -1 -2 1 6 7 1 -4 2 5 10 11 7 5 4 2 7 13 10 6 6 4 5 12 13 6 4 8 9 6 5 3 3 4 4 8 19 26 20 10 5 4 4 4 3 3 2 2 2 2 2 2 3 3 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 7 7 6 5 4 4 5 6 5 6 6 5 4 4 5 5 5 6 6 6 5 5 5 5 5 4 4 4 5 4 5 3 -0 -0 5 10 8 5 3 3 4 5 6 8 10 10 10 7 5 4 4 5 5 3 3 3 3 3 4 4 4 4 4 5 6 8 10 12 14 15 14 11 7 6 6 8 9 7 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 -1 -4 -7 -5 -3 -4 -1 3 6 7 5 4 3 4 7 9 9 4 3 4 3 4 11 8 2 3 9 12 13 10 7 6 5 5 4 3 3 4 5 5 5 4 4 4 5 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 4 6 8 8 7 7 9 14 19 21 20 16 9 2 1 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 2 1 2 4 4 4 5 6 6 4 3 3 4 4 5 6 7 7 6 4 3 3 4 6 7 7 6 5 5 4 4 4 3 3 3 3 3 3 2 2 2 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 2 3 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 4 5 5 5 4 4 4 3 4 4 4 5 5 5 6 6 6 6 6 5 5 4 4 4 5 6 8 9 8 8 7 6 7 7 7 7 6 5 4 3 3 7 6 3 6 8 7 6 2 2 5 4 5 9 11 5 8 8 2 3 8 3 -1 4 6 5 4 6 3 1 -0 1 7 9 -2 -8 2 4 3 1 1 2 6 6 1 7 8 6 5 -2 5 12 12 8 6 8 7 4 4 5 5 5 5 9 18 17 10 5 5 4 4 4 3 3 3 2 2 2 2 3 3 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 7 6 5 5 5 6 5 5 6 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 5 5 4 4 4 3 1 0 5 7 5 3 3 3 5 7 9 12 12 10 6 3 3 4 4 4 3 3 3 3 4 4 5 5 4 4 5 6 8 10 12 13 13 11 9 7 7 9 11 10 7 3 2 3 3 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 2 1 2 2 -0 -2 -5 -4 -1 -2 0 5 5 5 5 5 4 3 6 7 7 6 4 3 0 2 9 8 4 4 8 11 14 11 7 6 5 5 3 2 1 1 3 5 5 4 4 5 5 6 7 5 5 6 6 5 5 4 5 4 4 3 3 4 5 7 10 11 11 11 14 23 34 37 30 18 8 3 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 3 1 2 4 4 3 3 5 6 6 5 4 3 3 4 4 6 7 6 5 4 3 3 4 5 5 5 5 5 5 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 6 6 6 6 5 5 5 5 5 6 5 5 5 4 3 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 5 7 9 9 8 7 6 7 7 7 7 7 6 5 4 4 4 6 7 8 9 10 10 6 4 3 3 2 6 10 8 10 6 1 3 7 9 6 7 5 5 5 3 1 4 5 6 13 9 -6 -4 5 8 6 -0 -2 -3 5 9 5 2 1 4 3 -3 -0 5 9 8 9 11 8 4 3 3 5 6 8 15 20 14 7 5 5 5 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 7 8 8 8 8 7 6 6 4 6 8 8 7 6 5 5 6 6 6 6 6 5 5 5 4 5 5 5 6 6 6 5 5 5 4 4 3 2 4 5 4 3 3 5 7 9 12 13 9 5 3 3 3 4 3 3 2 3 4 4 4 5 5 5 5 5 6 8 8 10 11 10 8 7 7 8 10 11 10 6 3 3 3 2 3 3 4 4 5 4 5 5 5 5 4 4 5 4 4 4 3 1 -0 2 5 4 2 2 2 2 3 3 4 5 5 4 5 5 4 5 4 5 9 9 2 -3 1 6 7 6 5 6 9 12 11 8 6 4 3 3 3 2 -1 -1 2 5 5 4 4 5 6 7 6 6 6 6 5 4 4 4 4 4 4 4 5 7 10 12 15 18 18 18 27 45 50 35 16 5 2 2 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 3 2 3 5 5 3 2 3 5 6 6 5 4 4 3 4 4 5 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 4 4 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 5 6 5 5 5 6 6 6 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 7 8 10 9 8 7 7 7 7 7 7 6 5 4 3 2 4 6 9 10 10 10 8 7 8 8 3 3 5 10 12 6 5 4 3 8 7 7 6 6 7 4 1 5 9 14 16 3 -7 0 6 9 10 6 -2 -3 2 4 5 7 8 10 5 3 1 4 4 6 11 11 7 4 3 2 4 7 12 20 20 11 5 5 5 5 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 3 4 4 4 4 5 5 6 6 5 5 5 4 4 5 5 5 6 5 5 5 5 5 6 7 8 8 8 7 6 6 5 7 16 17 13 10 8 6 6 7 6 6 5 5 5 5 5 5 5 6 7 7 6 6 6 5 4 6 6 2 2 5 4 4 3 5 6 7 9 10 8 6 4 4 4 4 2 2 2 3 4 4 4 5 5 5 5 5 6 7 8 8 8 7 6 6 6 8 10 11 9 5 3 3 2 3 3 3 3 3 4 5 5 5 6 5 5 5 5 4 5 5 4 4 1 -1 4 6 5 5 3 2 3 5 4 3 4 4 4 6 8 8 5 3 10 13 4 -3 -0 4 6 6 5 4 7 10 12 10 7 4 2 2 4 7 5 2 0 2 4 4 4 5 6 7 8 8 7 6 5 4 4 4 4 4 4 5 7 9 11 15 20 26 27 20 21 36 43 31 13 3 2 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 4 3 3 4 5 5 3 2 2 3 5 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 3 4 4 3 3 3 3 4 4 4 3 4 4 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 5 4 4 5 6 8 9 10 9 8 7 7 7 7 6 6 5 4 3 2 3 4 6 8 8 6 4 7 12 11 7 4 2 3 7 10 11 7 3 7 7 9 9 8 6 3 2 4 9 12 10 -2 -5 2 4 6 9 10 0 3 5 3 4 4 8 12 5 5 3 6 6 10 15 11 6 3 2 3 5 8 15 21 16 7 5 5 4 4 4 5 5 5 4 4 3 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 6 6 6 5 5 4 4 4 5 5 6 6 5 5 5 5 5 6 6 6 7 6 6 6 5 8 15 20 20 19 16 13 10 9 8 6 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 6 7 5 3 4 5 4 4 4 5 6 6 5 5 5 6 6 5 4 3 2 2 3 3 4 4 4 4 5 5 5 5 6 7 7 7 6 5 5 6 8 9 10 8 5 3 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 5 8 10 5 3 5 6 6 4 3 3 4 5 4 5 6 6 8 11 11 7 5 7 12 8 1 1 4 6 6 5 5 6 9 11 11 9 5 2 1 4 9 10 9 6 1 2 3 3 5 6 8 9 10 8 7 5 5 4 5 4 5 5 6 7 10 13 16 22 33 35 23 13 15 19 17 8 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 4 3 4 5 4 4 4 5 4 3 2 2 3 4 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 3 3 4 4 4 3 3 3 4 4 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 8 7 7 7 6 6 6 6 7 7 6 4 4 3 4 6 8 9 10 10 9 7 7 7 7 6 6 5 4 3 2 2 4 5 5 5 4 3 7 8 7 5 2 0 0 3 8 10 8 6 5 8 12 11 7 3 1 4 5 5 3 3 -0 -1 2 2 6 9 11 3 4 4 4 5 3 4 3 3 4 2 6 10 15 16 11 6 4 4 5 5 7 15 18 11 5 4 4 4 4 4 4 4 4 4 4 3 2 1 2 2 2 2 2 2 3 3 4 4 4 4 5 6 6 6 5 5 5 4 4 5 5 5 5 6 6 5 4 4 4 4 5 5 5 5 5 5 5 7 12 19 21 21 21 18 15 13 12 12 11 9 7 5 5 5 4 3 4 5 6 6 6 7 9 10 10 6 4 5 5 4 4 5 5 4 2 2 3 4 5 5 4 4 3 3 4 4 5 5 4 4 4 5 5 4 3 3 5 6 6 6 5 5 7 8 9 9 6 3 1 1 2 2 3 4 4 3 3 4 4 4 4 3 3 2 3 3 2 3 8 14 11 5 5 6 5 4 4 3 5 7 9 9 8 6 7 11 12 9 6 6 7 7 5 4 4 5 6 6 6 6 7 10 12 12 8 4 2 3 7 7 6 7 5 3 3 3 4 5 7 9 10 8 6 5 5 5 5 5 5 5 6 8 11 14 14 19 32 37 23 7 4 4 4 4 3 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 4 3 4 6 5 5 4 4 5 4 3 2 1 3 4 6 6 5 5 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 2 2 2 2 3 3 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 3 3 4 4 3 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 6 6 7 6 6 7 8 9 9 8 7 7 7 6 6 6 7 7 5 5 4 4 4 6 7 9 10 10 10 8 7 7 7 6 5 5 4 3 2 2 5 7 7 3 1 3 6 7 7 5 2 1 7 8 6 5 5 6 5 10 14 13 7 2 0 5 10 3 -4 -0 3 1 2 2 3 7 7 3 3 4 6 4 3 1 3 7 4 0 2 9 10 9 9 7 4 7 8 8 12 18 16 9 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 3 2 2 2 3 4 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 5 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 5 8 11 14 16 17 17 17 18 17 15 13 10 6 6 5 5 6 7 10 13 15 14 14 16 15 11 5 4 4 5 4 5 5 5 4 2 1 1 2 3 4 5 4 4 4 5 5 6 5 5 4 4 4 4 4 1 -5 -5 1 6 6 5 5 5 6 8 9 9 7 4 0 -2 -1 0 2 3 4 3 2 2 2 1 0 -2 -4 -3 -2 -2 0 5 10 10 5 5 5 4 4 3 3 5 8 10 9 7 4 4 8 10 8 5 5 5 4 4 4 4 4 6 7 6 5 6 8 12 14 10 6 4 4 4 4 2 3 4 3 3 3 3 5 7 9 9 8 5 5 5 5 5 5 5 6 6 9 13 14 12 15 21 23 16 6 4 5 3 4 4 5 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 3 4 5 6 6 4 4 4 5 4 3 3 1 2 2 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 6 7 7 7 7 7 6 7 7 7 7 8 10 10 10 9 7 7 6 6 6 7 7 6 5 5 4 4 4 6 7 9 10 11 10 9 8 8 7 6 5 5 5 5 5 7 7 6 6 -0 0 5 7 3 8 10 10 7 8 8 6 7 7 6 7 11 15 15 10 3 0 4 10 6 -3 0 6 3 4 3 1 2 -2 0 2 7 6 3 1 1 8 7 1 -4 -3 6 8 8 9 7 5 5 9 13 20 22 14 6 4 4 4 4 4 4 4 3 3 4 4 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 2 1 1 1 1 1 1 1 1 1 2 3 5 6 8 11 13 14 12 13 13 13 11 11 10 11 13 16 17 18 18 19 20 21 18 10 4 4 4 5 4 5 5 6 5 3 1 1 1 2 3 4 5 4 4 5 6 6 6 5 5 5 5 5 6 5 -6 -14 -10 2 6 5 4 4 4 6 7 9 10 9 5 1 -2 -3 -3 -1 2 3 2 -1 -2 -3 -3 -5 -9 -10 -9 -6 -2 1 6 7 5 5 5 4 4 6 6 5 6 5 3 4 5 6 6 7 7 5 4 3 5 5 4 4 4 4 6 6 6 5 6 10 12 12 8 6 4 4 3 2 2 2 2 3 3 3 4 6 7 8 7 5 5 5 5 5 5 6 6 7 10 12 12 11 12 13 12 8 5 6 8 9 8 8 7 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 nan nan
nan nan nan nan nan 7 6 4 4 6 7 6 4 4 6 6 5 3 3 3 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 6 6 7 7 7 7 6 6 7 7 8 9 12 12 11 9 7 7 7 7 7 7 6 6 5 4 4 4 4 6 7 9 10 11 11 10 10 9 8 7 5 5 5 6 7 11 8 5 2 -2 3 4 7 1 9 14 14 9 3 2 7 10 10 7 5 7 13 16 12 8 7 5 2 4 4 6 8 5 6 5 2 0 -3 1 4 8 5 5 3 7 11 7 -1 -4 2 6 8 11 11 8 6 5 6 14 22 20 11 5 4 3 3 3 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 3 4 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 1 1 1 0 -0 -0 0 1 1 2 3 3 4 5 6 7 7 8 9 11 14 15 13 13 14 15 13 11 10 12 14 16 14 7 5 4 4 4 5 5 5 5 5 5 3 2 1 1 0 2 4 3 0 2 5 7 7 6 6 6 5 6 10 12 6 -4 -10 -3 4 5 4 3 3 4 5 6 9 10 10 9 5 -0 -5 -8 -6 -2 0 -2 -5 -5 -4 -3 -5 -7 -7 -6 -2 1 2 4 5 6 7 7 7 10 13 8 4 2 1 2 5 7 7 6 6 6 4 3 4 5 5 5 4 4 5 6 5 5 5 7 10 12 10 8 6 4 3 3 3 3 3 3 3 4 4 5 7 7 5 4 4 4 5 5 6 6 6 7 10 11 11 10 9 9 8 7 7 8 8 8 7 8 7 4 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 4 4 6 7 6 4 4 7 6 5 4 3 3 3 4 3 3 3 3 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 5 5 4 5 5 5 5 7 7 7 7 6 6 6 6 8 10 12 12 11 9 8 8 8 8 8 7 6 5 4 4 5 5 5 6 8 10 11 11 11 10 9 9 8 7 5 4 5 6 5 8 7 6 1 3 6 1 -2 1 5 15 10 10 1 -1 3 6 7 7 6 4 7 13 14 12 11 7 1 1 5 6 6 6 8 6 6 5 5 5 7 8 8 6 6 12 13 10 2 4 8 8 7 8 8 7 7 7 6 13 21 14 7 4 3 3 3 3 3 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 1 1 1 2 2 3 3 4 4 4 5 6 6 7 8 11 12 11 8 6 6 6 6 6 5 6 8 8 5 5 5 5 5 5 5 4 5 6 6 5 4 3 3 0 -2 2 3 -4 -9 -3 5 8 8 7 6 6 7 12 19 16 8 4 1 2 4 4 4 3 4 4 4 5 7 9 11 11 9 3 -6 -11 -10 -6 -6 -7 -4 -1 0 1 2 3 1 3 4 4 3 5 7 7 7 8 11 14 12 6 4 3 3 5 6 7 7 7 7 5 3 4 5 6 6 5 4 4 5 5 4 4 5 8 10 11 9 7 5 4 3 3 3 3 3 3 4 4 4 5 6 5 3 3 4 5 5 6 6 6 7 9 10 10 9 7 6 6 7 7 6 5 5 5 5 5 4 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 3 4 6 5 4 4 6 6 5 4 3 2 4 5 4 3 2 3 3 2 2 1 2 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 3 3 3 4 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 3 4 4 5 5 5 4 5 5 5 5 6 7 7 7 7 6 6 6 7 10 12 12 11 10 9 9 9 8 8 7 6 4 4 5 5 5 5 7 9 11 12 13 12 10 9 8 8 7 4 3 5 4 3 3 5 5 1 8 7 5 -0 3 0 11 7 14 6 -0 -2 3 3 3 7 7 4 8 13 11 8 4 1 3 5 3 3 6 7 7 9 8 8 7 7 8 8 5 9 15 10 9 5 9 8 6 7 6 4 5 7 9 10 18 19 9 5 4 3 3 3 3 3 4 4 3 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 5 5 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 4 4 4 3 4 5 5 6 6 6 5 3 1 1 4 5 5 4 4 5 5 4 4 5 5 5 6 5 5 5 5 6 6 6 6 7 7 2 2 8 3 -11 -15 -6 4 7 6 6 6 7 11 18 20 11 6 4 3 3 4 4 4 3 3 2 2 3 3 4 7 11 10 2 -8 -10 -7 -4 -4 -2 1 2 3 5 5 5 4 5 5 5 6 6 6 6 2 0 6 9 6 6 5 5 5 5 6 7 8 7 6 5 4 5 7 7 5 5 5 5 4 3 3 4 5 7 9 9 8 6 5 4 4 3 3 3 3 3 3 4 5 5 5 5 4 4 5 5 6 6 5 6 8 9 9 7 5 5 5 5 6 5 3 5 6 5 5 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 -0 -0 0 3 5 5 5 5 6 6 5 4 3 3 4 4 4 3 2 2 2 2 1 1 2 3 3 3 2 1 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 4 4 4 4 3 3 3 4 5 4 5 5 5 5 6 6 6 7 6 7 6 6 6 7 9 10 10 9 10 11 11 10 9 8 7 5 4 4 5 6 6 6 8 11 12 14 14 13 10 8 8 7 7 5 3 3 3 2 1 4 3 2 5 3 9 10 8 1 8 13 16 9 4 -0 4 2 -1 6 6 3 5 7 8 8 2 -3 1 4 3 2 5 8 10 8 3 4 8 8 6 5 4 9 12 5 4 7 9 6 2 5 4 4 5 7 9 15 21 16 7 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 4 3 3 3 2 2 3 3 3 4 4 4 4 2 2 1 -0 -1 2 4 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 8 10 9 7 13 14 3 -12 -17 -9 -1 1 2 3 5 8 11 15 10 3 2 3 3 3 3 2 1 0 -3 -6 -4 -2 -4 -5 1 7 6 3 2 4 3 -1 -2 -0 1 1 3 3 2 3 6 8 8 8 8 8 7 4 -1 0 4 4 5 5 5 5 6 6 7 8 7 6 6 6 6 7 7 6 5 5 5 4 3 3 3 4 6 8 9 9 8 7 6 5 4 4 3 3 3 3 3 4 5 6 7 6 5 5 5 6 6 5 5 6 8 7 6 5 5 5 4 4 5 6 6 5 5 5 5 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 3 -0 -2 -2 0 3 4 4 6 6 5 4 4 4 3 4 4 3 3 2 3 3 2 1 0 1 2 4 3 3 2 2 2 2 2 2 3 2 2 3 3 4 5 5 5 5 4 5 4 4 3 3 2 2 2 2 3 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 4 4 3 3 4 4 4 3 3 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 10 9 8 9 11 12 10 9 8 6 5 4 3 5 6 7 7 9 12 14 15 15 13 10 7 7 7 7 6 3 2 2 2 2 4 4 3 2 6 2 6 4 5 5 11 10 8 8 4 5 2 1 8 0 -3 2 3 6 14 8 -1 1 4 3 1 3 9 13 5 -6 -3 5 8 5 3 5 8 7 1 0 5 7 3 -0 2 4 4 5 5 9 19 22 13 5 3 4 4 4 4 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 5 4 4 3 2 2 2 3 3 3 3 3 3 2 2 3 3 3 2 2 3 3 2 3 3 4 4 4 4 5 6 6 7 7 7 7 7 7 6 6 6 7 8 8 13 16 11 2 -12 -17 -11 -9 -7 -6 -0 6 8 9 7 4 3 3 2 1 1 -1 -3 -3 -4 -8 -9 -4 -4 -7 -6 1 6 8 9 8 7 4 3 2 2 4 6 6 3 4 8 12 12 9 8 8 8 7 4 2 3 4 5 5 6 6 6 6 7 8 7 7 6 6 6 6 7 6 5 5 5 4 3 2 2 5 7 8 9 10 10 9 7 6 5 5 4 4 3 3 3 3 4 6 7 6 5 6 6 6 6 5 5 5 6 7 7 6 5 5 5 4 4 5 5 5 5 4 5 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 5 2 -1 -2 -1 1 2 2 4 4 5 5 5 4 4 3 3 3 2 3 3 3 3 2 1 1 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 3 3 3 3 4 3 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 5 5 5 5 5 6 6 7 7 8 8 8 8 9 10 10 9 8 8 10 11 10 8 7 6 5 4 3 4 6 7 8 11 13 15 16 15 13 9 7 6 7 8 7 4 2 2 3 4 5 6 3 5 11 2 4 -1 2 -3 8 5 3 7 6 6 4 5 7 0 -4 1 1 6 14 12 6 4 5 4 3 2 8 11 3 -5 -2 3 6 5 5 8 10 5 -0 -1 2 2 1 3 3 4 5 5 4 11 24 23 10 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 4 4 5 5 5 4 4 3 4 3 3 3 3 3 3 2 2 3 5 8 8 6 4 3 3 2 3 3 4 4 4 4 5 6 7 7 8 8 8 7 7 6 6 5 5 6 7 12 17 11 5 0 -7 -9 -10 -10 -12 -11 -2 4 6 6 6 5 4 3 1 -0 -1 -2 -3 -1 -1 -2 -2 1 2 0 2 6 7 8 8 7 7 6 7 9 11 11 13 11 8 10 11 11 10 4 3 5 4 3 3 3 4 5 5 6 6 6 7 7 7 7 7 6 6 5 5 6 6 6 6 6 5 3 2 3 5 7 9 10 12 13 12 9 7 6 5 5 5 4 3 3 3 4 5 6 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 4 3 3 4 4 4 4 4 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 7 4 2 -0 -1 1 1 -0 1 3 5 6 6 5 4 3 3 2 3 3 4 3 3 2 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 5 6 6 7 8 8 9 9 11 13 14 12 10 8 8 10 11 10 8 7 6 5 4 3 3 6 8 9 11 14 15 15 14 12 9 7 5 6 7 6 3 2 3 4 4 7 7 3 6 9 6 4 4 3 -5 3 4 3 2 7 9 9 11 11 6 1 -2 -1 4 5 3 7 8 5 4 4 4 7 7 4 3 3 4 4 5 7 9 7 2 3 2 1 -1 3 8 6 6 6 5 5 13 26 21 8 3 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 3 3 3 4 4 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 5 5 5 4 3 3 2 2 3 2 3 3 5 8 9 6 4 4 3 3 3 3 4 4 5 5 5 5 6 7 7 8 8 7 7 6 6 5 6 6 7 13 20 18 9 5 3 1 1 -0 -5 -13 -13 -7 -1 4 5 5 4 6 4 3 5 6 4 3 4 5 4 5 6 6 6 6 6 5 5 5 5 5 9 15 14 13 14 12 11 9 7 6 7 5 2 3 3 3 3 3 4 5 6 6 7 8 8 7 7 7 6 6 6 5 5 5 6 7 7 6 5 4 3 3 4 7 8 10 14 16 15 12 9 7 7 6 5 5 4 3 2 3 4 5 6 6 5 6 5 5 6 5 5 5 6 6 6 6 6 5 3 2 2 3 4 4 4 3 3 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 5 4 3 2 2 1 -0 -0 1 3 4 5 5 5 4 3 3 3 3 3 4 3 3 2 2 1 1 1 0 0 0 1 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 5 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 4 5 5 6 7 8 9 9 12 17 21 19 15 10 8 9 10 11 10 8 7 6 5 4 3 4 6 8 10 12 14 15 14 13 11 8 6 5 6 6 4 2 2 4 5 7 7 7 5 7 5 5 4 13 11 -0 -8 -4 4 -0 7 9 9 18 19 11 6 -2 -3 3 -0 -3 6 10 5 5 4 4 6 5 5 7 6 5 3 4 7 9 3 -0 6 8 1 1 7 9 6 6 6 6 7 14 26 20 8 4 3 3 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 4 3 3 3 4 3 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 2 2 2 2 3 3 2 4 6 6 5 4 3 3 3 4 4 4 5 5 5 5 5 5 6 7 7 7 6 6 5 5 5 5 5 6 10 18 24 22 12 4 5 7 9 6 -1 -7 -12 -11 -4 1 1 2 5 6 6 7 8 7 6 6 6 7 7 7 7 7 7 7 6 6 5 5 2 6 12 11 10 10 9 8 6 4 3 4 4 2 2 3 3 4 4 5 5 6 7 7 8 8 8 7 6 6 6 6 6 4 4 5 7 6 6 6 5 3 3 5 6 6 8 11 15 16 14 11 10 10 9 7 5 4 3 2 2 3 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 5 4 2 1 2 3 4 4 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 3 3 4 4 5 4 3 1 -0 -0 -0 1 3 5 6 5 5 4 3 3 3 4 4 4 3 1 0 1 0 -1 -1 -1 -0 1 2 2 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 6 6 6 5 5 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 4 3 4 4 5 4 4 5 5 6 7 8 8 10 18 29 31 26 17 11 9 9 11 11 9 7 6 5 4 3 3 4 7 9 10 12 14 14 12 11 9 8 6 6 5 4 2 1 2 3 7 10 6 5 6 9 6 2 4 17 17 7 -5 -7 2 3 6 5 5 21 19 9 8 2 1 4 1 1 7 9 5 4 2 1 4 7 7 5 8 8 3 3 7 10 7 1 5 8 3 4 8 5 3 4 6 6 7 16 26 19 7 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 3 3 3 3 4 3 3 3 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 2 2 2 4 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 5 6 6 6 6 5 5 4 4 4 4 4 6 10 18 26 22 12 10 9 9 10 8 5 -2 -10 -10 -6 -5 -4 -0 1 0 1 3 5 5 5 4 5 6 6 6 6 7 9 8 5 6 9 5 4 6 5 6 6 6 5 6 5 4 3 2 2 2 3 3 4 5 5 6 6 6 8 8 8 8 7 7 7 7 7 5 4 4 5 6 7 7 7 5 4 4 6 7 4 4 8 12 14 13 12 13 13 12 10 7 6 5 4 3 3 3 3 4 5 5 5 6 5 6 6 5 6 6 6 5 4 3 1 1 2 3 4 4 4 4 4 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 1 1 1 2 4 5 5 3 1 -1 -1 -0 1 3 5 6 6 6 5 4 4 4 6 5 4 2 2 2 1 -0 -1 -1 -0 0 1 2 3 2 3 2 2 2 3 3 3 3 4 4 4 4 4 4 5 6 6 5 5 5 5 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 3 3 3 3 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 5 4 4 5 5 5 4 3 4 4 5 4 5 5 5 6 6 8 7 15 32 41 36 27 18 12 9 10 10 10 9 7 6 5 4 3 3 4 7 9 10 12 12 12 11 9 8 6 6 5 4 3 2 1 -0 3 8 10 5 2 5 10 8 5 3 10 14 12 5 1 5 8 6 2 5 17 12 5 5 5 5 4 4 5 8 8 7 6 3 2 5 10 8 3 8 11 5 3 7 10 8 4 5 6 6 8 7 3 2 3 5 5 6 16 25 18 7 4 4 3 3 3 4 4 4 4 4 4 3 4 4 3 3 4 4 4 3 3 4 3 3 3 4 3 3 3 4 4 3 4 4 3 4 4 5 5 5 6 6 5 5 4 4 4 4 5 5 5 4 5 4 4 4 4 3 3 3 3 2 2 1 1 2 2 3 3 3 2 2 2 2 3 4 3 3 3 3 4 4 5 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 4 8 14 20 22 20 18 13 10 9 8 7 1 -5 -4 -4 -4 -1 -1 -3 -2 1 3 5 5 2 4 5 5 5 5 9 12 11 8 9 11 9 4 3 3 3 4 4 6 9 10 8 4 1 0 1 2 4 5 6 5 6 7 7 8 9 9 8 7 6 7 7 7 5 3 4 6 7 8 7 7 6 5 5 6 8 5 2 7 10 10 10 11 13 13 12 11 10 9 8 7 5 3 2 2 3 4 5 5 5 6 7 7 6 6 6 6 6 4 3 1 1 2 3 3 3 3 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 2 1 0 1 2 4 5 5 3 1 -0 -0 -0 1 4 4 5 6 5 5 4 5 6 5 5 4 4 4 4 3 2 1 1 1 1 2 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 2 3 3 3 4 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 5 4 3 4 4 5 5 5 5 5 6 7 8 9 25 43 35 26 22 16 11 9 10 9 8 7 6 5 4 3 3 3 5 7 10 10 11 11 10 9 8 6 5 5 3 0 1 4 2 -1 6 9 12 8 3 3 4 6 9 6 6 10 9 5 6 9 12 8 2 5 9 7 5 3 4 7 4 3 7 8 7 6 6 4 3 7 9 6 6 10 12 7 4 6 7 6 6 9 10 11 12 5 2 2 4 5 5 4 13 22 21 11 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 2 2 2 2 1 2 2 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 10 14 17 20 20 16 13 12 12 9 7 7 5 4 4 5 4 3 6 9 7 6 8 8 5 6 5 5 12 14 12 10 9 8 5 3 2 2 3 4 4 7 11 15 14 7 1 -1 0 2 5 6 6 6 6 7 7 8 9 9 8 7 6 6 7 7 5 3 4 7 9 10 8 6 6 5 4 4 4 5 4 6 8 9 9 10 11 11 11 11 10 10 10 9 7 5 3 2 2 3 4 4 5 6 7 7 7 7 7 7 6 5 4 2 2 2 3 3 3 3 4 3 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 4 3 1 0 1 3 4 5 5 3 1 0 -0 0 1 2 4 4 5 5 5 5 5 5 4 4 4 5 6 5 4 4 3 2 1 2 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 3 3 4 4 5 5 6 6 7 7 7 6 5 4 3 3 2 2 1 1 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 4 4 5 6 6 5 5 6 7 8 15 34 36 14 8 13 13 11 9 8 7 6 6 5 5 4 3 2 3 5 7 9 10 10 9 8 7 6 5 4 2 -1 -1 -0 2 6 8 8 6 12 12 7 4 2 6 8 3 4 8 6 4 5 8 11 8 3 2 2 5 8 7 5 6 7 4 6 7 5 4 4 1 0 5 7 6 8 12 11 7 5 4 3 2 6 11 14 15 14 5 1 1 3 6 6 7 11 18 24 17 5 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 5 4 4 4 4 5 4 4 4 3 3 3 2 3 2 2 2 2 2 2 2 2 1 2 3 3 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 3 4 7 11 16 18 17 16 17 17 18 20 16 9 8 11 10 8 11 17 16 12 16 15 8 9 7 5 11 14 10 6 6 4 2 2 2 2 2 4 7 10 14 18 17 9 0 -1 1 4 6 6 6 6 6 7 7 9 10 10 9 6 5 6 8 7 5 2 3 7 10 9 7 5 5 4 4 4 4 3 3 5 8 9 8 8 8 9 10 10 10 10 11 11 10 8 5 4 3 3 3 4 5 5 5 6 7 8 9 8 7 7 6 4 3 4 3 3 3 3 3 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 4 4 4 4 3 2 1 2 3 5 5 5 4 2 1 1 -0 0 1 2 4 5 5 4 4 3 2 1 1 3 4 5 5 5 5 4 3 3 3 3 4 4 4 4 4 3 3 4 4 5 6 5 4 3 3 3 3 4 4 5 5 7 7 7 7 6 6 4 3 2 1 0 1 1 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 5 5 6 8 11 21 31 20 0 -1 8 12 10 7 6 5 5 5 5 5 4 3 3 4 5 7 9 10 10 8 7 5 5 4 2 -2 -3 0 1 2 8 13 7 1 5 9 9 7 7 9 6 0 2 5 7 9 6 4 4 5 7 6 5 6 9 11 8 6 7 7 9 6 4 7 5 4 1 3 5 4 7 8 5 5 5 3 -1 -3 4 12 14 17 15 8 3 0 1 2 6 8 8 17 26 20 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 2 2 2 2 2 2 2 3 4 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 8 11 13 13 13 13 14 19 21 16 11 14 13 11 12 15 17 16 17 16 13 12 10 7 8 10 9 5 3 3 2 1 1 2 2 4 7 11 16 18 13 5 0 1 3 5 6 6 6 6 6 7 7 9 10 11 9 7 5 6 8 7 5 2 3 6 9 8 6 4 5 5 5 5 4 4 4 4 7 8 7 7 7 8 9 9 10 10 11 11 10 10 9 7 5 4 4 4 4 4 4 5 6 8 10 9 8 8 7 6 6 5 4 3 3 2 2 2 2 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 4 4 4 4 5 5 4 3 4 4 4 5 5 4 3 2 0 -0 0 1 2 4 4 4 4 3 1 -0 -0 1 3 3 3 5 6 6 5 4 4 4 4 5 6 6 5 5 4 5 6 6 6 7 5 3 2 2 3 4 4 4 5 5 6 7 7 7 7 6 4 3 2 1 1 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 5 5 7 10 14 23 24 12 1 0 5 11 11 7 4 4 4 4 4 4 4 4 4 4 6 7 9 10 9 7 5 4 4 2 -1 -4 -1 2 5 3 5 9 6 7 6 4 4 3 8 11 5 1 2 3 6 10 7 3 -0 1 8 13 13 8 9 11 7 4 3 7 13 10 5 7 7 7 3 5 7 0 2 4 3 5 5 5 2 -2 2 9 14 17 12 9 4 1 -0 -1 4 7 5 18 28 17 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 6 6 6 5 4 4 4 3 3 3 4 4 4 3 4 3 3 3 3 2 2 2 3 3 2 2 2 2 3 4 5 5 5 6 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 6 8 11 14 13 14 13 9 9 8 8 10 10 10 9 9 9 7 7 8 8 7 6 4 3 2 2 2 2 4 7 10 13 13 8 3 1 2 4 5 6 6 6 6 6 6 7 8 10 11 11 8 6 6 7 7 5 3 3 4 5 6 5 5 5 5 5 5 4 4 4 5 6 6 7 7 7 7 7 9 10 10 10 11 11 11 12 11 9 7 5 4 4 3 3 4 5 6 9 10 9 8 8 8 7 6 5 3 2 2 2 2 2 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 6 4 3 5 5 6 5 5 4 2 2 3 4 4 4 3 2 2 1 1 1 2 4 4 4 4 3 1 1 1 2 2 3 4 5 5 5 5 4 4 5 5 6 7 6 5 5 6 6 6 6 7 6 3 2 2 3 3 3 4 4 4 5 5 6 6 7 7 5 4 3 2 2 3 3 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 8 13 18 23 20 8 5 6 5 10 11 7 4 3 3 4 4 5 4 4 5 4 5 6 9 10 9 6 5 4 2 -2 -4 -2 2 5 6 0 -1 7 12 16 7 3 -2 -3 8 12 6 4 1 -1 3 7 6 5 3 2 6 11 13 11 9 7 3 0 1 7 10 7 3 5 7 5 3 5 9 3 2 4 5 6 2 8 9 7 6 7 16 19 10 8 4 -0 -2 0 7 9 6 18 28 15 5 3 4 4 4 4 4 4 4 5 4 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 3 3 4 4 3 3 4 4 4 3 4 6 7 7 6 4 4 5 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 7 7 6 6 6 6 5 5 5 4 5 4 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 7 7 7 5 5 4 4 4 4 4 4 4 5 5 6 7 8 9 8 7 5 4 3 2 3 5 7 7 7 6 4 3 3 3 4 5 5 5 5 6 6 5 6 7 9 11 12 10 7 6 6 7 5 4 4 3 3 4 5 6 6 5 5 4 4 4 5 5 6 6 6 5 4 5 6 7 9 10 10 10 10 11 13 14 13 10 7 4 4 3 3 3 3 5 7 9 10 9 8 8 8 6 4 3 2 1 2 2 2 2 3 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 9 7 5 4 4 4 4 4 4 4 3 1 1 2 3 3 3 4 4 2 1 1 1 2 3 4 5 4 3 2 2 2 2 3 3 4 4 4 4 4 5 4 5 5 6 6 6 6 6 6 6 7 7 7 4 3 2 2 3 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 3 3 4 3 3 3 4 4 4 4 5 5 5 5 5 6 5 5 5 6 6 7 7 6 6 6 8 13 19 22 22 16 7 8 9 7 11 10 6 4 4 4 4 4 5 5 6 6 6 5 6 8 10 9 6 5 2 -2 -5 -3 1 4 4 2 -1 -0 4 7 8 5 1 -4 -1 8 11 9 7 4 5 6 5 6 8 10 9 6 6 10 12 7 2 1 1 2 6 6 -1 -1 7 8 3 -4 -2 10 11 10 8 7 3 -1 5 11 11 10 9 13 21 17 10 4 -3 -6 3 13 13 8 17 28 17 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 3 5 8 8 7 5 5 5 4 4 4 3 3 3 3 4 4 4 4 3 3 4 3 3 4 4 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 5 5 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 6 7 9 9 9 7 6 5 3 4 6 6 5 3 3 2 3 3 3 4 4 4 5 6 5 5 5 5 6 8 10 12 11 9 6 6 5 6 5 4 4 2 2 4 6 6 5 4 4 4 3 3 4 5 6 6 4 3 3 4 5 7 9 10 10 10 10 12 14 15 14 9 6 4 3 3 3 3 4 5 8 10 10 9 8 7 5 3 2 1 1 1 1 1 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 8 6 5 4 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 3 1 1 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 6 3 2 2 3 4 4 4 4 4 3 2 2 3 4 5 5 5 5 6 6 5 5 6 5 4 4 4 4 4 4 3 2 2 2 2 2 2 3 3 3 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 6 7 7 7 7 6 6 7 12 21 26 24 17 9 3 8 11 12 12 7 2 3 5 6 5 4 5 5 6 7 7 7 7 8 9 9 7 3 -2 -6 -4 0 3 4 2 -3 -3 2 4 -0 -2 3 -1 1 6 7 7 7 3 7 12 11 5 4 7 12 14 9 4 5 8 4 0 2 4 3 4 3 -1 3 8 10 6 -6 -4 10 15 12 11 6 -1 -1 2 6 9 14 14 12 21 26 14 2 -6 -7 5 15 12 7 17 29 19 5 5 4 4 4 4 4 4 5 4 4 5 5 4 4 3 3 3 3 3 4 4 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 7 9 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 8 7 7 7 6 5 5 4 4 5 5 4 4 5 4 4 4 4 3 2 3 3 2 3 3 3 3 3 3 3 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3 4 4 6 8 9 9 9 7 6 5 5 6 6 5 3 2 2 3 3 3 3 3 2 4 5 4 4 4 4 4 6 9 11 11 10 8 6 5 5 6 6 5 3 3 2 4 5 5 5 3 3 2 1 2 3 5 6 5 3 2 3 4 5 7 9 10 10 10 11 12 14 14 11 7 4 4 3 4 4 4 5 7 9 10 10 8 6 4 3 2 2 2 2 2 2 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 8 6 5 4 4 3 3 3 3 4 4 4 4 4 5 4 5 5 4 3 3 3 2 2 3 3 4 4 5 5 4 4 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 6 5 6 7 8 7 4 3 3 4 4 4 5 5 4 3 2 1 1 2 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 3 2 2 2 2 3 3 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 6 8 8 7 6 6 6 12 24 32 29 19 11 3 3 11 13 9 3 -1 -1 2 6 8 6 4 5 6 6 8 9 8 8 9 10 9 7 1 -6 -5 1 3 2 2 4 2 -3 -4 -2 2 2 1 1 6 13 8 3 3 1 6 7 7 7 6 7 11 14 12 7 3 2 1 3 5 7 6 5 4 5 6 5 6 8 -2 -6 10 18 8 8 5 -2 3 5 3 4 10 12 13 26 31 16 1 -7 -5 7 12 6 6 18 31 21 5 4 4 4 4 4 4 4 4 5 4 5 5 4 3 4 3 3 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 3 6 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 8 7 6 6 5 5 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 2 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 6 8 8 9 8 7 6 5 5 5 4 4 3 3 3 3 4 3 1 -0 2 4 4 4 3 3 4 5 7 9 11 10 9 7 5 5 5 6 6 5 3 3 2 4 5 5 4 3 1 0 -0 1 3 5 6 4 2 2 2 4 5 7 9 11 11 11 11 12 13 12 9 7 5 4 4 5 4 5 6 8 9 10 9 7 5 4 4 4 5 4 4 4 3 3 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 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 6 5 5 5 4 4 3 3 3 4 5 5 6 5 5 5 5 4 4 4 3 4 4 4 4 4 4 3 4 4 5 5 5 5 7 8 8 5 4 3 3 4 5 5 6 6 4 2 1 1 2 2 3 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 4 3 4 3 3 3 4 4 4 4 4 4 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 7 11 24 37 35 21 7 5 6 14 14 7 -4 -10 -10 -3 4 9 9 6 5 5 6 7 8 10 10 9 10 11 11 7 -0 -4 -1 5 4 2 2 3 4 5 3 1 3 4 1 1 9 17 11 5 4 5 9 4 4 10 11 8 8 11 12 9 7 4 0 3 8 8 6 6 5 6 7 5 6 6 1 -5 10 19 5 2 4 -2 4 5 2 3 6 7 17 32 32 15 1 -4 -1 8 9 3 4 15 33 25 5 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 3 2 3 6 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 5 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 3 3 3 3 2 3 3 3 2 2 3 3 3 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 5 6 8 9 9 8 7 6 5 4 4 4 4 4 4 3 3 4 3 -0 0 2 3 3 3 3 3 4 5 7 9 10 10 8 6 5 5 5 6 6 5 3 2 3 4 5 5 4 3 2 0 0 2 4 5 4 3 2 2 2 4 5 8 10 11 11 11 11 12 11 9 8 7 6 5 5 4 5 5 6 8 9 9 9 8 7 7 7 7 7 6 5 4 4 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 6 7 6 6 7 6 6 6 5 5 4 3 3 4 5 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 7 8 9 6 4 3 3 3 5 6 6 6 5 4 4 5 4 4 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 6 5 5 4 5 5 5 5 7 8 8 8 7 8 11 19 31 36 28 13 -4 -2 10 8 1 -9 -16 -16 -11 -2 6 10 8 5 4 5 6 7 9 10 10 10 11 12 12 8 1 -0 2 5 5 4 4 4 3 4 7 8 5 3 1 3 10 17 16 15 10 8 9 7 3 5 12 10 5 7 9 9 11 7 1 4 8 7 5 3 1 2 4 6 8 8 4 1 12 14 2 -3 -2 -2 5 3 0 5 9 6 19 35 30 12 -1 -2 5 12 9 4 3 14 30 24 6 4 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 3 3 3 3 3 3 3 3 4 4 4 4 4 5 3 2 2 3 4 5 5 5 5 4 4 3 3 4 4 4 5 4 4 5 5 6 5 5 6 6 7 6 6 6 5 4 4 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 3 3 2 3 3 2 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 6 8 8 8 8 7 6 5 4 3 4 4 4 3 2 5 6 3 1 2 2 2 2 3 3 3 4 5 7 9 10 9 8 7 5 5 5 6 6 4 4 4 4 4 5 5 5 4 2 2 2 4 5 4 4 4 3 2 2 3 5 8 10 11 12 12 11 11 10 9 9 9 8 6 5 5 5 5 6 7 8 9 9 9 8 8 7 7 6 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 4 4 4 4 4 5 5 5 5 7 7 8 8 7 7 6 7 7 7 6 5 4 3 3 4 5 6 7 7 7 6 5 5 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 4 6 9 9 7 4 2 2 2 4 5 6 7 7 6 7 8 7 5 4 4 3 3 2 2 2 3 3 3 4 4 5 5 5 6 6 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 5 5 5 6 5 5 4 4 5 5 5 7 8 8 7 8 11 16 22 25 23 18 8 -6 -8 -5 -20 -23 -19 -16 -11 -5 1 7 9 7 5 4 5 6 8 9 10 10 10 11 12 9 5 4 2 2 5 8 7 5 7 9 5 2 -1 1 2 3 6 11 16 21 21 12 8 6 6 3 3 8 5 3 6 6 5 6 6 6 8 8 6 5 -1 -3 0 4 6 9 11 6 7 13 13 4 -4 -9 -4 9 7 2 3 4 4 21 37 27 8 -1 0 8 13 11 6 5 15 26 19 6 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 5 5 4 3 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 6 6 5 5 5 4 4 4 4 3 3 3 3 4 5 4 4 4 4 4 4 5 5 5 4 3 2 2 3 3 3 3 3 4 4 3 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 3 4 4 5 6 7 8 8 8 8 6 5 3 3 3 3 2 3 7 7 5 3 3 2 2 2 2 2 3 3 4 5 7 9 10 9 8 6 5 5 5 5 5 5 4 3 4 5 6 5 5 4 3 3 4 4 5 5 4 3 2 2 3 4 5 8 10 11 12 12 11 10 10 11 13 12 9 6 6 5 5 5 5 6 6 7 7 7 6 5 4 4 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 4 3 3 3 4 4 5 6 7 8 8 9 8 8 7 6 6 6 6 6 6 5 4 4 4 5 6 6 7 7 7 6 4 4 3 4 5 4 4 4 4 3 3 3 3 2 3 3 4 6 9 10 8 4 2 1 1 2 4 6 7 7 8 8 8 7 6 6 5 5 4 3 2 3 3 3 3 4 4 5 5 5 6 6 6 5 4 3 3 3 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 5 4 4 4 5 6 8 9 9 10 12 15 17 16 11 9 9 2 -5 -11 -17 -25 -22 -11 -5 -1 2 4 7 7 5 5 4 5 7 8 10 10 9 10 10 9 6 5 6 1 3 4 9 9 4 5 8 5 2 -2 -2 1 6 8 9 15 21 17 10 9 9 7 6 10 8 2 3 5 3 -0 -2 3 15 16 9 7 4 -2 -3 3 6 7 6 6 6 8 11 17 16 7 -5 -3 5 10 5 1 3 13 27 31 19 5 -0 3 10 12 9 6 6 16 27 17 5 5 5 5 5 5 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 1 1 3 5 5 5 5 5 5 4 4 3 4 5 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 4 5 5 4 3 3 3 3 3 3 4 5 5 6 7 8 8 9 8 7 5 3 3 2 2 5 8 8 5 4 3 2 2 2 2 2 2 2 3 4 5 7 9 9 10 8 7 5 5 4 4 4 5 4 4 4 5 5 6 6 5 4 4 4 5 5 4 4 4 3 3 4 5 6 8 10 12 13 13 12 11 12 14 14 11 7 6 5 5 5 5 5 5 5 5 5 3 3 2 3 3 5 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 4 3 3 3 4 4 6 8 8 9 9 8 8 8 7 6 6 6 7 7 6 5 4 4 4 4 5 6 7 7 7 5 4 3 3 4 4 4 5 5 5 4 3 3 3 3 3 4 5 8 9 9 5 2 1 1 1 3 5 6 7 7 7 6 6 6 6 7 7 6 5 4 4 4 3 3 4 5 5 5 5 5 6 5 4 3 3 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 5 5 5 4 4 5 5 8 11 10 12 14 13 13 13 10 3 1 3 1 -0 -5 -7 -6 -3 2 5 7 6 6 5 5 4 4 5 6 8 9 10 11 12 13 12 9 5 5 5 2 4 5 7 5 3 6 5 0 0 -1 0 7 13 8 6 10 12 9 8 9 10 10 11 14 11 4 3 4 3 0 -5 3 16 17 10 8 4 -2 0 7 7 5 1 1 7 9 8 15 18 13 6 3 -1 10 14 10 11 20 26 21 9 1 0 3 9 10 7 5 7 18 28 17 5 5 5 5 5 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 3 2 1 1 3 4 5 5 5 6 5 4 4 3 3 4 6 7 7 6 5 5 5 5 4 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 5 6 7 8 9 9 8 6 5 4 3 5 6 5 6 6 6 5 4 2 2 3 3 2 2 2 3 4 5 7 8 9 10 9 7 6 5 5 4 5 5 5 5 4 5 5 6 5 4 3 3 4 5 5 5 5 4 4 4 4 5 6 8 10 12 14 14 13 12 13 14 11 8 6 6 6 6 6 5 5 5 5 4 3 2 1 1 2 3 4 5 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 5 6 7 7 7 6 4 2 3 4 4 5 6 7 8 8 8 8 7 7 7 6 6 7 8 8 7 6 5 5 4 4 4 6 6 6 6 5 4 3 3 3 4 5 6 6 5 5 4 4 4 4 3 3 5 8 9 7 4 2 1 1 2 3 4 5 5 5 4 4 5 6 6 7 7 7 6 6 5 4 4 4 4 5 4 5 5 5 5 4 3 3 2 2 1 1 2 3 3 4 4 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 6 5 5 4 4 5 5 5 10 13 12 13 12 8 9 11 9 4 8 15 14 12 8 7 7 8 10 11 10 7 5 4 4 4 4 5 6 8 10 12 15 18 19 18 12 6 4 7 9 7 5 3 3 3 6 7 7 7 3 3 8 10 4 2 4 3 2 4 3 5 11 11 9 8 7 5 6 5 4 1 6 12 11 8 7 3 2 5 6 5 6 6 5 6 6 8 10 7 4 8 10 -2 4 20 23 19 19 16 7 -2 -1 1 3 8 9 7 5 9 21 26 13 4 5 5 5 5 5 4 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 4 4 3 4 4 4 3 3 4 3 3 3 3 2 2 3 4 4 4 5 5 5 4 4 3 3 5 6 7 7 6 5 4 4 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 3 3 4 5 6 6 6 5 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 3 3 3 3 4 3 3 5 6 7 8 9 9 9 8 7 6 6 7 6 3 1 4 9 8 5 3 2 3 3 2 2 2 2 3 3 5 7 8 9 10 9 8 7 6 5 4 5 5 5 5 5 5 5 5 4 3 3 3 4 5 5 5 4 3 4 4 4 4 6 8 11 13 15 17 16 15 14 11 8 7 7 7 7 7 6 5 6 6 6 5 4 2 2 2 2 4 6 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 6 5 4 3 4 4 5 5 6 6 6 7 7 6 6 6 6 6 7 8 8 7 7 6 6 6 4 4 4 4 5 6 5 4 3 2 2 3 5 6 6 7 6 6 6 6 4 3 3 3 5 7 7 5 4 2 1 1 2 3 3 3 3 3 3 4 5 6 7 7 7 7 7 6 5 4 5 5 4 5 5 5 5 6 5 5 4 3 2 2 2 1 2 2 3 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 7 13 17 14 10 7 6 8 10 11 10 21 32 25 17 14 12 12 11 12 12 10 7 5 4 4 4 4 6 7 8 11 16 20 22 22 19 14 7 4 8 11 9 4 3 5 5 3 5 10 15 9 6 8 2 -3 0 4 2 1 1 -2 2 11 9 3 4 8 8 8 10 9 7 9 13 12 7 3 1 5 8 6 1 2 9 9 5 7 7 3 3 4 7 12 1 -6 11 29 25 14 3 -6 -6 -1 1 5 10 10 7 6 8 18 25 15 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 3 4 5 6 6 5 4 3 2 2 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 5 4 4 3 3 5 7 7 6 4 3 2 2 2 3 4 4 3 4 3 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 4 4 3 3 3 3 3 3 3 4 6 8 9 9 9 9 9 8 8 8 7 6 3 -0 3 9 9 7 4 3 3 2 2 2 2 2 2 2 3 5 7 8 9 9 9 9 7 6 5 5 5 5 6 7 6 5 5 4 4 3 3 2 3 6 7 6 4 2 2 3 3 4 6 8 11 15 19 21 21 18 12 8 6 7 8 8 8 6 6 7 7 8 8 7 5 4 4 3 4 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 3 4 5 6 6 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 6 5 4 3 4 4 4 3 2 1 1 3 4 5 6 7 8 9 9 8 5 3 2 2 3 5 6 6 5 3 2 2 1 2 2 2 2 3 3 3 4 5 5 6 7 8 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 3 2 2 2 2 3 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 7 9 13 18 18 12 8 7 7 9 10 7 11 18 23 11 6 7 8 9 10 11 11 9 7 6 5 5 4 4 6 7 9 14 19 22 20 16 12 10 7 4 4 6 7 5 6 8 6 6 5 8 10 6 7 19 6 -2 3 5 3 6 6 2 6 12 5 -2 3 7 9 9 14 16 11 6 13 15 7 2 -1 5 10 6 -0 2 11 12 11 13 4 -4 5 13 12 11 6 -3 8 30 22 8 -6 -12 -2 3 3 8 11 8 6 6 6 14 25 21 7 4 5 5 5 4 5 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 4 5 6 5 4 3 2 1 1 1 2 3 3 2 2 2 3 3 3 4 5 5 6 6 5 5 5 4 3 2 4 7 8 6 4 3 2 2 2 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 7 8 9 9 8 6 5 4 4 3 2 2 3 2 2 4 6 8 9 9 9 8 8 8 9 9 7 5 2 2 5 8 9 8 6 5 3 3 2 3 3 2 1 1 2 3 5 6 7 9 10 10 9 7 6 6 6 6 6 6 7 6 5 5 5 5 4 3 3 5 7 7 4 2 2 2 3 4 5 7 9 12 16 22 26 22 15 9 6 7 8 8 7 5 5 6 7 7 9 9 9 8 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 3 3 4 5 5 6 6 6 5 5 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 6 6 5 4 4 3 3 3 2 1 1 2 4 5 6 6 8 9 10 8 5 3 2 3 3 3 5 5 5 5 4 3 2 1 2 2 2 1 2 3 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 4 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 5 6 6 10 16 18 17 13 8 7 7 8 10 9 3 5 4 -4 -8 -4 3 6 8 9 9 9 9 8 8 7 5 4 4 6 8 11 17 20 18 14 10 6 5 6 7 5 3 3 7 11 11 9 6 2 1 3 7 11 18 5 2 7 5 5 12 11 7 14 14 2 -1 6 8 7 7 10 16 15 6 6 9 4 2 2 8 10 3 0 5 9 11 14 12 2 -1 5 12 14 11 14 9 21 32 19 1 -17 -12 10 16 14 15 12 7 5 5 5 13 24 23 9 5 6 6 5 5 4 5 5 5 5 4 4 4 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 5 5 5 4 3 3 2 1 1 2 3 3 3 3 3 3 4 4 3 4 4 5 7 8 8 6 5 3 3 3 5 8 8 6 3 2 2 2 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 6 6 6 6 8 9 11 12 11 9 7 5 4 4 2 2 1 1 2 5 7 9 10 9 8 7 7 8 10 10 7 3 3 4 6 8 9 9 8 7 5 5 5 4 4 3 2 1 1 2 3 4 6 8 9 10 10 8 7 7 6 5 5 6 6 6 5 6 6 6 6 5 3 4 6 7 6 4 2 2 3 4 4 6 7 9 12 17 22 23 17 10 6 6 7 7 6 3 1 3 4 5 6 7 8 9 8 8 7 6 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 5 6 5 5 4 4 3 2 2 1 2 2 3 3 3 3 4 3 3 3 3 3 3 4 5 5 6 6 6 5 5 4 4 4 4 2 1 2 3 4 5 6 7 8 9 8 5 4 4 4 3 3 4 4 4 5 5 4 3 2 2 2 1 1 1 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 6 5 4 3 3 2 2 2 2 2 2 2 3 2 3 4 4 4 5 4 4 4 4 6 7 7 11 17 17 12 8 7 7 7 8 9 6 1 -1 -3 -14 -8 1 6 7 8 8 8 8 9 9 8 7 5 4 4 6 9 13 17 17 14 11 9 3 3 6 8 9 6 5 6 7 8 9 4 -3 -4 -1 1 14 9 -3 2 5 3 10 20 13 7 11 7 1 9 14 9 6 4 3 11 14 10 7 5 -2 2 6 9 10 1 2 2 -1 5 11 6 4 7 9 10 5 8 17 17 31 30 15 -7 -24 -8 23 32 29 21 13 8 6 4 5 12 23 24 11 5 6 5 6 5 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 4 3 4 4 4 3 3 3 3 3 3 3 4 6 6 5 5 4 4 4 4 3 3 3 4 7 10 10 8 5 3 3 4 7 8 6 4 2 2 2 3 4 4 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 8 11 14 15 14 11 9 7 5 4 3 1 1 0 2 6 8 9 9 8 8 7 7 8 11 12 9 5 5 7 8 10 10 10 9 9 8 7 7 6 5 4 3 2 1 2 2 3 5 6 7 8 9 9 8 7 6 5 5 5 5 6 6 6 7 7 8 7 4 3 3 6 7 6 3 2 3 3 4 5 6 8 10 12 16 18 15 10 6 5 5 5 3 0 -2 -1 1 2 2 4 6 8 9 8 7 7 7 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 7 6 5 5 5 5 5 4 3 2 1 1 1 2 2 3 4 4 4 3 3 3 2 2 2 2 3 4 4 5 5 5 6 5 5 6 6 4 2 1 2 4 5 6 7 7 7 7 6 6 6 5 4 4 4 5 5 5 5 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 8 7 6 5 5 5 3 2 1 1 2 2 2 2 3 4 4 4 4 4 4 4 4 6 7 8 8 9 15 17 10 7 7 6 7 7 7 4 2 3 2 -3 3 8 8 6 6 6 6 7 8 9 8 6 5 4 5 7 11 16 19 14 9 9 7 4 4 5 5 10 12 10 7 3 4 6 3 0 3 -0 -2 6 -1 -5 4 5 2 12 22 12 6 2 -5 6 21 17 8 4 1 2 8 8 8 10 6 -2 1 6 9 10 2 -2 -5 -2 6 7 2 4 9 10 9 3 7 12 19 32 27 11 -10 -18 2 26 34 31 21 13 8 6 4 4 10 21 25 14 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 4 4 3 3 5 7 9 9 8 7 6 5 4 4 3 3 2 3 7 11 12 9 5 4 4 6 7 6 4 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 7 7 8 10 13 17 17 14 12 10 8 6 4 4 2 0 0 3 7 9 9 9 7 6 6 7 7 10 12 11 9 8 8 9 9 9 9 10 10 10 10 9 7 6 5 4 3 2 2 2 3 3 5 6 7 8 9 9 8 7 6 5 5 5 5 6 6 6 7 8 7 6 4 3 4 6 6 5 4 3 3 4 5 6 7 9 11 12 13 13 12 10 6 3 2 2 -1 -3 -1 1 1 2 2 4 6 9 9 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 9 9 7 6 5 5 5 5 5 4 3 2 1 1 1 2 2 3 4 4 4 4 4 3 2 1 1 2 2 3 4 5 5 6 6 6 8 8 5 3 2 3 4 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 3 4 4 3 3 3 3 3 3 3 2 2 3 3 4 4 5 5 5 5 4 4 5 7 8 8 9 9 9 8 8 7 7 7 7 5 4 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 5 6 7 8 8 7 13 18 14 9 7 6 6 7 6 1 6 12 9 7 8 6 5 4 3 4 5 6 8 8 7 7 7 7 8 11 18 21 19 12 6 6 3 3 5 6 5 5 5 7 7 4 3 3 4 9 12 9 9 3 -5 -2 3 4 1 6 9 6 10 6 -1 7 13 9 5 -0 -2 6 10 6 7 11 5 1 -0 4 7 9 6 -1 -0 5 4 -4 -5 2 8 9 5 2 4 4 17 33 28 9 -7 -6 9 19 22 20 15 10 8 6 4 3 10 23 28 15 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 5 4 3 3 3 3 3 4 4 4 3 2 3 6 8 11 12 12 10 8 7 5 3 3 2 1 2 6 11 12 9 5 4 5 6 5 4 3 3 4 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 13 18 19 15 10 9 8 7 6 4 3 2 1 2 5 8 9 9 8 6 5 5 5 5 7 9 10 9 8 8 7 7 7 8 9 9 9 10 11 10 8 7 6 5 3 2 2 2 3 3 4 6 7 8 8 8 7 6 5 5 5 5 5 5 5 6 7 7 7 5 3 2 3 5 7 6 5 3 4 4 6 6 6 8 9 11 13 15 16 14 9 5 4 1 -1 -0 1 2 2 2 3 6 8 9 8 7 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 10 10 8 6 6 6 5 5 5 4 4 3 3 2 2 2 2 2 3 4 5 5 5 4 3 2 1 1 1 2 3 4 5 6 6 7 8 9 7 4 3 4 4 5 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 6 6 5 3 4 4 3 3 4 5 5 4 4 3 2 2 3 3 4 4 4 4 4 4 5 5 7 8 9 9 9 9 9 8 7 7 7 7 6 5 5 5 4 4 3 4 4 4 5 5 5 5 5 4 4 5 7 8 8 7 7 10 19 20 11 6 6 7 7 1 1 12 15 9 6 5 4 3 3 2 3 5 6 7 7 7 10 10 11 13 17 21 21 15 10 6 5 2 2 7 8 10 1 -1 3 6 4 1 2 7 12 9 6 9 12 12 9 3 -0 -1 0 -5 0 9 13 11 12 9 8 6 -1 -2 10 16 11 8 10 4 0 2 7 7 7 3 -3 8 19 9 -8 -6 3 6 2 0 2 2 0 14 32 29 10 -0 5 13 15 14 12 10 7 6 5 2 3 12 24 21 8 5 7 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 3 3 2 2 4 6 7 9 11 12 10 8 6 5 4 2 1 1 2 6 10 11 9 6 5 5 5 4 3 3 4 5 5 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 9 9 9 10 11 11 12 14 18 21 18 12 8 6 6 6 6 5 3 3 3 4 6 8 9 8 7 6 5 4 4 4 5 6 7 6 6 5 4 5 5 6 8 8 9 10 11 11 10 9 8 7 4 3 2 2 2 2 3 4 6 7 7 8 7 6 6 5 5 5 5 5 5 5 6 6 7 6 4 2 2 5 7 7 5 4 4 4 5 5 5 5 6 9 12 15 20 25 25 18 11 5 3 2 2 2 2 1 2 5 7 8 8 8 8 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 8 8 7 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 4 4 5 5 5 5 4 3 2 1 2 3 5 6 6 6 7 8 8 7 5 4 4 5 5 5 6 6 6 5 5 4 4 4 6 8 10 11 10 9 8 7 5 4 3 3 4 4 4 4 5 5 5 4 4 3 2 2 3 4 4 4 3 3 4 5 6 7 8 9 10 9 9 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 5 4 5 6 8 8 8 7 7 12 22 22 11 6 7 8 6 -1 4 14 12 7 4 3 3 2 2 3 4 6 6 6 7 10 13 12 14 15 15 17 16 11 8 8 7 4 4 5 9 9 4 0 4 6 4 3 4 6 5 2 3 3 9 18 18 10 1 -2 -1 -3 2 6 10 14 18 17 15 8 2 4 15 21 14 8 7 1 -2 7 11 8 3 -1 -1 11 27 13 -2 -0 4 -1 -5 -0 1 -2 3 15 24 22 11 8 14 16 15 12 10 7 6 6 5 2 3 10 15 10 5 11 14 8 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 3 2 1 1 3 5 6 6 6 8 11 10 7 5 5 4 3 2 1 2 4 8 10 9 7 5 5 4 2 2 3 4 5 5 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 7 7 7 7 7 8 9 11 12 12 12 13 14 15 17 20 20 14 8 7 5 4 6 8 7 5 3 4 6 7 7 7 7 6 6 5 4 4 4 4 5 5 5 4 3 4 4 5 5 5 6 7 8 10 11 11 11 9 7 5 3 3 3 3 2 3 3 5 6 7 7 7 6 6 5 5 5 5 5 5 4 4 5 6 6 6 4 2 3 5 6 6 5 4 4 4 4 4 4 4 6 8 11 18 29 37 32 21 10 6 5 5 4 3 2 2 4 6 7 8 7 7 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 7 6 6 6 6 7 7 8 9 9 8 7 6 5 5 5 4 4 5 5 5 6 7 7 6 4 2 2 3 5 6 6 6 6 7 8 7 6 5 4 5 4 4 5 5 4 3 3 3 3 3 5 7 9 11 11 11 10 9 7 4 2 2 3 3 3 4 4 5 6 6 6 4 2 2 3 4 4 4 3 3 3 4 5 6 7 8 8 9 8 8 7 7 6 7 7 8 8 7 6 6 6 6 5 6 6 6 6 6 5 5 6 7 8 7 6 7 9 15 23 21 11 7 7 7 7 9 13 9 7 5 4 3 2 3 3 4 6 6 5 6 10 15 12 10 15 13 10 14 14 9 7 8 7 5 4 4 8 9 7 4 5 4 4 4 7 7 5 10 10 -1 1 13 15 11 5 -1 0 3 6 11 11 7 8 13 10 7 9 13 17 15 10 6 5 -1 -0 8 8 7 7 3 5 16 22 10 3 3 1 -3 -2 2 0 -0 8 15 14 11 9 14 19 18 14 11 8 6 6 7 4 2 3 7 8 7 7 14 22 16 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 6 7 7 7 6 5 5 5 4 4 4 4 4 3 2 1 1 2 3 4 5 5 5 7 9 10 7 6 5 5 4 3 2 2 3 5 7 8 7 6 5 4 2 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 9 11 13 14 15 15 15 15 16 16 16 18 15 9 6 6 5 4 5 7 7 4 3 6 7 7 7 6 6 6 6 6 5 5 6 5 6 6 5 4 3 3 4 5 4 4 4 6 7 9 10 10 10 10 9 7 5 3 3 3 2 2 3 4 5 6 7 7 7 6 5 5 5 5 5 5 4 4 4 4 6 6 4 3 1 3 4 6 6 6 4 3 3 4 4 4 4 5 7 12 22 33 35 24 12 7 7 8 7 6 4 3 4 5 6 6 6 4 2 2 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 5 5 4 5 5 5 6 7 8 9 9 9 8 7 7 7 6 6 8 9 8 8 8 10 11 12 9 6 5 5 5 6 6 5 6 7 7 6 6 5 5 4 4 4 4 4 3 2 2 2 2 2 3 5 8 10 11 12 12 11 8 4 2 2 2 3 3 3 3 4 6 8 7 5 3 2 3 3 3 3 2 3 3 3 4 4 6 6 7 7 7 7 6 6 6 7 7 8 8 8 7 6 6 6 6 6 6 6 6 5 6 6 7 8 8 6 6 7 11 18 25 21 12 7 7 8 15 26 24 6 3 4 4 3 3 3 4 5 5 5 6 9 17 20 11 11 14 10 10 14 13 9 7 6 4 1 3 10 9 6 7 8 5 4 4 4 9 7 12 23 10 -4 6 13 7 6 5 2 5 8 10 14 9 -0 -2 4 1 4 9 12 12 9 8 7 4 3 10 15 9 8 11 3 3 8 8 7 9 7 2 3 6 7 6 8 12 12 7 4 8 16 21 18 13 9 6 4 6 6 3 1 3 6 6 6 8 15 26 21 8 7 7 6 6 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 6 5 5 4 4 4 4 4 4 2 2 2 3 3 4 4 4 3 4 6 8 9 8 6 6 6 5 4 3 2 2 3 4 5 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 7 7 8 10 12 14 16 17 18 18 17 16 15 13 11 7 4 5 6 6 5 4 4 6 6 4 4 7 7 6 6 6 6 6 7 6 6 7 7 8 8 8 8 6 5 4 4 5 5 5 5 5 6 7 8 9 10 10 10 9 7 5 3 2 2 2 3 3 4 5 6 7 7 6 5 5 5 5 5 5 5 4 3 4 5 5 5 3 2 2 3 5 6 7 5 4 4 4 4 4 4 5 6 8 12 19 25 20 11 8 12 13 12 10 8 5 4 4 5 5 5 3 1 -0 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 3 4 4 4 5 6 7 7 7 7 8 9 8 7 9 12 13 12 11 10 10 13 16 15 11 7 6 6 6 6 5 6 6 6 6 6 5 5 4 3 4 4 3 3 2 1 1 1 1 2 3 6 8 10 11 12 11 8 5 3 2 2 2 2 3 4 5 6 8 8 6 4 3 3 3 2 3 2 2 2 2 3 3 4 5 6 6 6 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 5 6 6 8 9 9 6 5 5 9 13 22 27 20 11 7 7 13 20 26 17 4 1 2 2 2 2 3 4 5 5 5 8 16 21 17 11 11 11 11 14 16 15 11 7 6 2 -2 4 13 11 3 6 9 7 3 3 4 7 7 14 23 8 -1 8 6 0 2 4 6 11 11 11 7 -1 -3 -1 0 -2 0 4 8 10 11 12 9 5 6 16 20 12 7 7 4 1 -3 -0 6 11 14 7 4 6 8 9 11 11 7 1 2 9 16 19 17 13 9 6 5 6 6 2 1 4 7 7 7 8 14 25 23 11 7 6 7 6 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 6 5 4 4 4 4 4 4 3 2 3 3 3 4 4 4 3 3 4 5 7 8 8 7 7 6 6 5 5 4 3 2 2 4 5 5 5 5 6 6 6 6 5 5 5 6 6 6 5 6 5 5 5 5 5 5 6 6 6 6 6 7 8 8 10 13 15 17 18 19 20 20 19 16 13 7 1 -3 -2 3 6 6 6 5 4 6 6 4 4 8 7 6 7 7 7 7 7 7 7 7 8 9 11 11 11 9 6 5 6 7 5 4 6 6 6 7 7 8 10 11 11 10 9 7 6 5 4 2 2 2 3 4 5 6 7 7 6 5 5 5 5 5 5 5 4 4 4 5 5 4 3 2 2 4 5 7 7 5 4 4 4 5 5 5 5 6 8 10 11 11 10 11 15 19 19 16 11 7 5 3 4 4 4 2 1 -0 1 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 3 3 2 2 3 4 4 5 5 6 7 9 10 10 9 11 13 12 11 10 10 10 12 16 18 13 7 6 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 2 1 1 0 0 0 2 4 7 9 10 10 9 8 6 5 4 2 2 3 3 4 5 6 7 8 7 5 4 3 3 3 2 2 2 2 2 2 2 3 4 4 5 5 5 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 4 5 6 7 10 11 8 4 4 6 11 17 26 27 18 10 5 7 15 13 8 2 1 -1 0 1 2 1 3 4 5 6 6 10 18 18 11 9 8 7 11 15 15 15 13 10 8 4 -2 3 8 8 3 3 4 5 3 2 3 4 9 12 14 2 1 2 -1 1 4 6 10 14 12 9 1 -7 -6 2 5 4 2 3 8 12 15 11 4 2 7 13 15 9 4 3 4 4 -5 -3 3 6 10 7 4 7 9 11 10 7 1 -2 5 11 14 16 15 12 10 7 6 7 4 2 3 6 7 6 6 8 13 24 24 12 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 6 6 6 6 6 6 5 4 4 3 4 4 4 4 3 3 3 4 4 4 4 3 2 3 3 4 6 7 8 8 8 7 7 6 6 5 4 3 3 4 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 8 9 12 14 16 18 19 20 21 20 18 15 13 6 0 -0 3 5 6 6 6 6 5 5 5 2 6 9 7 7 7 6 7 6 7 7 7 7 8 8 10 12 12 10 7 5 6 9 7 4 6 8 8 7 7 8 9 11 13 12 10 11 11 10 8 5 3 1 1 2 3 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 5 6 7 6 5 5 4 4 5 4 4 4 5 5 6 7 8 10 14 22 26 22 14 8 4 3 2 3 3 3 2 1 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 2 2 2 2 1 1 2 3 4 5 5 6 7 9 10 11 10 10 10 8 7 7 7 8 9 13 16 13 7 4 5 6 6 5 5 6 6 5 4 4 3 4 4 4 4 3 3 3 2 1 0 0 -0 1 3 5 7 8 8 7 8 7 6 5 4 3 3 3 4 5 6 6 7 7 5 5 4 3 3 3 3 2 2 3 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 5 7 10 11 10 6 2 4 10 17 25 30 25 16 9 2 0 6 -1 -6 -2 -0 -2 -1 0 1 2 3 5 6 6 6 10 16 15 10 8 6 5 7 9 10 12 15 13 10 5 1 1 4 9 8 4 2 3 3 2 2 3 11 12 1 -2 4 1 0 4 8 8 11 13 12 7 -0 -7 -5 4 8 8 6 7 11 13 15 3 -6 -0 6 8 7 5 2 2 3 6 4 0 3 6 3 3 6 10 11 10 8 3 0 5 10 10 12 12 11 11 10 8 8 7 4 2 4 6 7 6 5 7 16 27 24 11 5 5 6 7 7 6 6 6 5 5 5 5 5 5 5 4 5 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 3 4 5 5 5 6 7 9 8 7 7 7 7 6 5 5 4 5 6 6 7 7 6 5 5 6 6 6 6 6 5 5 5 6 5 5 5 6 5 5 5 6 6 6 7 8 10 13 14 16 17 17 18 18 16 13 13 15 13 9 7 7 6 6 7 7 6 5 6 7 5 7 8 6 6 5 5 5 6 6 6 6 7 6 7 8 10 10 10 8 6 5 7 7 6 6 8 8 8 8 8 9 11 13 13 12 14 17 17 13 8 5 3 2 1 2 4 4 5 5 5 5 4 4 4 4 5 5 6 5 5 5 5 4 4 4 4 4 5 6 6 6 5 5 4 5 5 4 4 3 3 5 6 7 8 12 19 23 22 15 8 3 1 2 2 3 4 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 2 2 2 1 1 1 2 4 4 5 5 5 6 7 8 9 9 9 8 6 5 5 6 7 8 10 13 13 8 3 4 5 6 5 6 9 11 8 5 4 4 4 5 5 5 5 5 4 3 2 1 1 1 1 2 4 6 7 7 7 8 8 7 6 5 4 4 4 4 5 5 6 6 6 6 5 4 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 6 9 12 12 8 3 3 10 18 26 31 27 17 11 4 -6 -9 -7 -11 -10 -2 0 -1 -2 0 1 2 4 6 7 6 6 8 12 14 14 12 10 9 7 6 7 8 11 12 9 8 9 3 7 11 12 10 6 3 3 1 2 7 11 8 -3 5 10 0 1 4 6 7 7 9 8 5 1 -3 -2 4 8 9 8 12 14 8 7 1 1 6 6 2 1 1 0 4 4 7 14 8 8 10 4 -0 3 8 7 10 6 1 9 18 15 9 10 9 8 9 9 8 8 7 5 4 5 6 6 5 4 10 24 30 19 7 4 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 4 5 5 4 4 5 5 6 6 6 6 5 5 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 4 5 6 6 5 5 5 6 7 7 7 7 8 8 7 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 5 5 5 5 6 6 7 7 9 11 13 14 14 14 15 16 14 11 8 10 15 15 11 9 7 7 7 7 8 7 6 7 7 8 7 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 5 6 6 5 6 7 8 8 7 8 8 9 10 11 13 15 20 21 18 12 7 6 4 2 3 4 3 4 4 4 5 4 4 4 4 5 6 7 6 5 5 5 5 5 5 5 4 5 5 6 6 5 5 5 5 5 4 4 3 4 5 6 7 7 8 11 14 15 11 6 2 0 1 3 3 4 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 2 1 1 1 1 2 4 4 4 4 4 4 5 6 7 8 9 9 7 5 5 6 7 7 8 12 14 10 5 3 4 5 5 8 15 19 14 8 5 5 5 5 6 7 7 7 7 6 4 2 2 2 2 2 3 5 6 7 8 8 8 6 5 5 4 4 4 4 5 6 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 5 4 4 4 3 3 4 4 4 4 5 7 11 13 10 5 3 9 20 27 27 22 16 8 3 0 -7 -7 -10 -12 -7 -1 -0 -2 -2 -0 2 3 5 6 7 5 5 6 10 16 18 15 15 16 11 5 4 6 7 8 6 11 13 5 8 8 11 11 8 6 3 -1 3 10 8 3 5 14 14 5 3 2 1 2 4 6 6 6 3 0 2 6 8 8 5 9 11 1 -3 4 15 15 8 2 -0 -3 -3 5 2 -2 5 7 10 14 9 4 2 6 8 8 1 2 18 26 18 10 9 9 7 7 8 8 8 7 5 4 5 6 6 5 6 16 30 26 11 4 3 5 7 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 4 4 5 5 6 6 6 5 4 4 5 6 6 6 7 8 7 6 6 6 6 5 5 5 5 4 5 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 6 7 7 8 9 11 12 12 11 11 12 12 10 6 4 6 12 13 10 7 6 6 7 7 7 8 8 8 7 4 3 5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 7 9 4 3 6 7 7 6 6 7 8 7 8 10 13 17 20 19 17 16 11 7 5 4 4 4 3 2 3 4 5 4 4 4 4 6 8 7 6 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 4 4 3 3 4 4 5 7 7 6 6 6 7 6 4 2 1 1 2 3 4 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 5 3 2 1 2 2 3 3 3 3 3 3 4 5 6 9 12 12 10 8 5 5 6 6 5 9 13 12 8 5 4 4 5 10 17 22 18 9 6 5 5 6 7 8 9 9 9 7 6 5 4 3 3 2 3 4 5 7 8 8 7 6 4 3 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 4 3 3 3 3 4 4 3 3 4 4 4 5 4 3 3 4 4 4 3 4 6 9 12 12 7 4 8 19 26 26 19 9 3 3 7 8 4 4 -4 -6 -3 -0 -1 -3 -2 0 2 3 5 6 6 6 6 8 12 19 19 13 13 18 12 5 4 4 6 8 7 9 11 9 6 6 10 9 12 9 2 -2 4 9 4 4 11 13 8 12 7 3 0 2 4 6 9 11 7 4 5 7 7 4 -0 1 4 5 -1 4 12 14 13 9 6 0 -1 8 11 2 -1 1 12 15 9 7 4 5 16 9 3 11 23 22 14 10 9 8 8 8 9 9 8 5 2 3 5 7 7 7 10 22 31 21 7 4 3 5 7 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 4 5 4 4 5 5 4 4 5 5 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 2 2 2 3 4 5 5 5 6 6 7 6 5 4 4 5 5 6 6 6 7 6 6 6 6 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 7 8 8 9 11 12 11 9 9 10 9 8 5 1 0 6 10 9 7 6 5 6 6 6 7 8 8 7 2 -2 1 5 4 5 5 5 5 5 6 4 1 3 3 2 3 3 5 5 5 6 7 11 6 2 6 6 5 5 5 6 7 7 7 8 9 12 14 15 18 23 21 16 10 6 6 7 5 4 4 4 4 4 4 3 4 6 8 8 7 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 5 4 3 2 3 4 5 6 6 6 4 4 4 4 4 4 2 2 2 3 3 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 10 9 7 4 3 3 3 2 3 3 3 3 3 4 5 6 9 13 14 11 8 6 5 5 5 4 5 9 12 9 7 5 3 4 8 14 18 15 9 6 5 5 6 6 7 9 10 10 9 8 7 6 6 4 3 3 3 4 5 7 7 7 5 3 3 3 3 4 4 5 5 6 5 6 6 6 5 4 4 4 3 3 3 3 3 4 4 4 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 7 10 13 11 6 7 15 20 22 23 18 10 1 4 14 16 13 8 -1 -2 -2 -3 -4 -3 -1 1 2 4 5 6 6 8 10 12 17 20 16 10 10 14 13 10 6 3 6 11 12 8 8 13 8 9 5 5 9 6 -4 -1 7 8 2 3 6 5 1 12 14 7 4 5 5 6 12 14 11 6 6 8 6 2 1 -3 -1 8 5 3 3 8 8 7 9 9 6 9 12 11 8 1 7 12 9 6 5 7 15 8 11 21 21 14 10 9 9 8 8 9 9 9 7 4 1 0 3 7 9 9 14 26 28 16 5 4 4 5 7 7 8 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 6 5 4 3 2 3 3 2 3 3 3 4 4 4 4 5 5 4 3 2 1 3 4 4 5 5 6 6 7 7 7 6 5 5 5 5 6 5 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 6 6 6 6 6 5 5 6 6 5 5 6 7 8 9 9 9 11 11 9 8 8 8 7 6 7 5 0 2 7 7 7 7 6 5 6 7 7 8 8 8 4 -3 -2 4 5 5 5 5 5 6 7 7 4 2 2 1 0 -1 0 3 5 7 7 7 6 5 6 6 5 4 4 5 5 6 7 8 8 8 9 10 15 22 26 23 17 11 9 10 11 12 10 5 3 2 2 3 4 5 7 8 7 5 4 5 5 5 5 6 5 5 4 3 3 3 4 4 4 5 4 2 2 3 4 5 5 5 4 3 3 3 4 4 4 3 3 3 4 5 5 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 9 10 12 12 12 9 8 6 4 3 3 3 3 4 4 5 5 5 7 10 13 12 10 7 5 5 5 4 3 5 8 9 7 6 4 4 5 9 11 11 9 7 5 5 5 6 7 7 8 9 9 8 8 8 7 6 4 3 3 3 4 5 6 6 5 4 3 3 3 4 4 5 5 5 6 6 7 7 6 4 4 4 3 3 3 4 5 4 4 4 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 7 11 15 16 11 8 12 14 12 14 21 23 16 8 3 5 5 2 -2 -6 -7 -6 -6 -4 -2 0 2 3 4 5 6 8 14 17 17 19 17 13 11 10 12 13 14 10 5 4 7 10 12 10 4 2 1 -4 0 1 -2 -6 2 11 7 1 0 1 4 10 12 12 6 3 5 5 6 9 12 13 8 6 9 8 5 5 2 -1 2 6 6 -1 3 2 1 8 12 11 10 8 6 6 1 -0 9 14 5 3 12 5 3 17 20 15 10 8 9 9 7 7 8 9 8 5 3 2 1 3 6 8 10 15 26 27 13 4 4 5 6 8 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 2 3 3 3 4 4 5 5 5 5 4 2 1 2 3 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 7 7 8 9 9 10 10 10 8 7 7 6 4 3 7 13 10 5 6 7 7 7 7 6 6 11 12 8 7 7 5 1 0 4 6 6 5 5 5 6 6 9 9 6 5 4 3 0 -2 1 4 6 7 4 4 6 6 6 5 4 4 4 4 4 5 6 8 7 7 7 9 14 19 20 19 15 12 12 16 20 17 10 5 3 3 3 4 4 5 6 6 4 4 4 5 5 5 5 6 5 4 4 4 3 3 3 4 5 5 4 4 3 4 4 5 4 3 3 2 2 3 5 5 4 3 4 4 4 4 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 10 12 14 14 13 10 6 4 3 3 4 4 5 5 5 5 6 8 11 12 11 8 6 6 5 5 3 3 4 5 6 5 5 4 4 5 6 8 8 7 6 6 6 7 7 6 6 6 6 7 8 8 8 7 6 4 4 4 4 5 5 5 4 4 3 3 3 4 4 5 5 6 6 7 8 7 6 5 4 4 3 3 4 6 6 6 4 4 4 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 7 13 19 21 18 11 7 10 9 5 10 17 19 18 16 4 -5 -10 -12 -13 -12 -9 -6 -4 -1 1 2 3 4 5 6 8 12 19 20 16 13 12 12 14 11 11 11 14 12 6 2 -2 1 9 6 -4 -3 1 1 2 2 2 2 5 10 4 -0 -0 -0 4 9 4 1 -1 -2 3 5 6 5 9 16 13 10 11 9 6 7 9 4 -1 10 13 1 1 3 3 10 11 11 11 9 7 3 -3 -2 13 18 3 0 7 3 8 22 18 11 7 8 9 8 7 7 8 7 6 4 4 3 3 4 5 6 8 14 25 28 14 5 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 3 2 1 2 3 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 5 5 6 6 6 6 6 6 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 9 10 10 9 8 7 6 5 2 -0 -0 10 14 9 7 6 6 7 7 3 4 13 18 12 7 5 4 2 2 6 6 6 6 6 6 6 6 7 7 8 8 6 6 3 2 2 3 4 5 5 4 4 5 5 4 4 4 3 3 3 4 5 5 6 6 6 6 7 8 11 13 13 10 9 14 20 20 16 14 13 9 5 3 2 3 4 4 3 3 3 4 5 5 5 5 6 5 5 4 4 4 4 4 4 5 6 5 4 4 4 5 5 4 3 2 2 3 5 6 4 4 4 4 5 4 4 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 6 7 9 12 15 15 12 9 6 4 4 4 4 5 5 5 4 5 7 9 11 12 11 8 7 6 6 4 3 3 4 4 4 5 4 4 4 4 6 6 6 5 5 7 8 8 6 5 5 5 5 7 7 8 7 7 6 5 4 4 4 4 4 4 4 3 3 3 4 5 5 6 6 7 9 9 8 6 5 4 4 4 4 6 8 8 7 5 5 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 6 9 14 20 21 17 12 6 1 6 9 3 6 10 11 15 15 2 -11 -17 -15 -12 -7 -4 -1 0 1 2 3 3 4 7 10 12 16 18 15 10 9 9 9 10 7 6 11 13 11 6 2 -2 0 7 5 3 8 10 7 5 6 10 9 6 11 3 -1 0 2 1 -2 -3 -0 -1 -1 3 5 4 3 7 17 17 18 17 12 8 9 11 6 5 14 13 6 6 7 7 13 12 6 5 7 9 6 -2 -1 17 13 4 9 11 9 14 20 16 10 8 8 8 8 7 7 8 6 4 4 4 5 5 4 4 4 6 12 25 30 17 6 7 7 7 7 6 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 4 3 3 3 3 3 4 4 5 5 4 4 5 5 5 5 4 2 1 2 3 4 4 5 5 5 5 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 7 8 8 8 8 9 10 9 8 6 4 4 4 0 -4 1 9 9 7 6 5 6 5 -0 -4 5 17 16 9 5 2 -0 2 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 4 5 4 4 5 5 4 4 5 4 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 7 8 8 7 7 10 13 15 16 19 19 16 11 7 4 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 5 4 4 4 5 6 5 4 4 5 6 4 4 4 4 5 5 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 6 7 10 12 14 13 10 7 5 4 3 3 4 4 4 4 5 6 7 9 11 11 10 8 7 6 6 5 4 4 4 4 4 5 4 4 4 4 4 5 4 5 8 9 9 7 6 5 5 5 5 6 7 6 6 5 5 4 4 3 4 3 4 4 4 4 5 5 5 5 6 7 8 10 10 8 6 5 4 4 5 6 8 9 8 6 5 5 5 4 3 2 1 1 1 2 3 4 5 5 4 4 6 13 20 23 19 12 6 3 2 2 5 7 2 0 0 2 7 2 -12 -20 -15 -8 -3 -1 1 2 2 2 3 3 3 6 12 16 17 17 14 10 8 11 12 9 4 2 3 13 13 9 4 3 4 9 12 9 10 13 8 5 7 9 11 9 9 17 6 -2 3 7 4 0 1 3 3 3 5 3 1 4 8 10 14 18 21 15 9 9 10 8 8 7 5 7 8 6 7 7 6 0 -1 3 9 10 6 4 7 6 13 23 22 22 22 15 12 10 9 8 7 7 7 7 8 6 3 3 4 5 6 5 4 3 4 13 26 28 17 7 7 8 7 6 6 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 3 3 3 4 5 5 6 6 5 4 4 4 4 5 3 2 2 2 3 4 4 5 5 5 5 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 7 8 9 10 10 8 6 4 5 7 6 2 0 5 8 7 6 5 5 4 -2 -8 -4 8 13 9 4 -1 -2 3 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 5 5 6 5 5 5 5 6 6 5 3 3 3 2 3 3 3 4 5 6 6 6 6 6 7 7 6 7 11 15 17 18 18 14 9 6 5 3 3 3 3 4 4 4 4 5 4 4 5 5 6 6 6 6 5 5 4 5 6 5 4 3 4 6 6 6 6 7 6 4 4 4 4 5 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 6 8 10 11 11 11 8 6 4 3 2 3 3 3 2 3 5 6 8 10 11 11 10 9 7 7 6 5 5 5 4 4 4 4 4 4 4 5 5 6 7 8 10 9 8 7 6 5 5 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 8 9 9 7 6 5 4 4 6 7 9 9 7 5 5 4 5 5 4 3 2 1 0 0 2 4 5 5 4 5 12 22 26 20 10 1 -0 1 3 2 3 8 9 3 -4 -7 -10 -18 -22 -19 -8 -1 2 2 3 3 3 2 2 3 5 11 20 21 16 11 7 7 10 14 15 10 6 6 6 8 11 10 3 2 6 11 13 8 8 9 5 4 6 7 5 6 13 19 8 -1 6 9 6 6 6 6 5 7 8 5 1 5 11 9 7 4 11 10 7 9 10 10 9 4 4 7 3 -2 1 0 4 2 -4 -2 6 13 15 11 7 9 20 26 25 25 22 13 10 9 8 6 7 8 8 7 7 5 3 3 4 5 5 6 5 4 5 15 27 24 12 6 7 8 7 6 6 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 3 4 5 5 5 5 5 4 3 3 3 4 5 6 6 7 6 6 4 3 4 4 3 2 2 2 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 3 4 5 5 6 6 6 7 7 6 6 6 5 5 4 4 5 5 5 6 7 7 7 8 9 11 11 9 5 4 5 8 9 7 5 6 7 7 5 5 5 5 1 -4 -5 1 8 9 2 -4 -1 5 6 6 7 6 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 5 6 6 7 7 6 7 9 10 9 7 5 4 4 3 3 3 4 4 5 6 7 7 6 7 6 6 5 5 7 10 12 17 20 18 15 12 7 5 3 2 3 4 4 4 4 4 4 4 6 6 6 6 7 7 7 6 6 5 5 6 5 4 4 4 5 6 7 7 6 6 6 5 5 5 4 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 7 7 8 8 9 10 9 7 5 3 2 2 3 3 2 2 3 5 7 8 10 12 12 11 10 9 7 7 6 6 5 5 5 5 5 5 6 6 7 7 7 9 10 9 8 7 7 6 5 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 6 6 6 5 6 6 7 8 7 6 5 5 5 4 5 7 9 8 6 4 4 5 5 5 5 5 4 2 0 0 1 3 4 4 6 10 17 19 16 13 5 -2 -0 3 1 -4 3 16 22 16 3 -6 -15 -21 -17 -9 -1 2 2 2 3 3 3 2 3 5 11 19 23 19 11 7 7 10 12 13 12 10 9 11 6 0 3 9 6 1 4 8 11 10 11 10 6 5 5 8 4 4 14 11 9 2 7 8 5 6 7 6 5 7 8 5 4 7 12 10 2 -3 4 5 5 9 10 9 8 7 9 8 -1 -9 -4 5 13 12 -4 -6 4 13 14 16 18 18 20 21 21 19 15 10 9 7 6 5 7 8 8 7 7 4 2 3 4 4 6 7 7 4 5 14 23 21 11 6 7 7 7 6 6 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 3 3 4 4 5 6 7 7 6 5 4 4 4 3 3 2 2 3 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 6 6 5 5 4 4 4 4 4 4 4 5 6 7 7 7 9 11 11 10 6 5 7 8 8 8 7 6 7 6 5 5 6 6 5 3 2 2 6 5 -1 -3 2 6 6 7 7 6 6 6 6 7 7 7 8 8 9 9 8 7 7 7 6 6 5 5 6 7 8 9 12 14 11 7 6 5 5 4 4 4 5 6 7 8 9 8 7 6 6 7 7 7 8 8 9 13 17 19 20 17 12 8 4 3 4 5 5 5 4 4 4 5 5 6 6 6 7 7 8 8 7 7 6 6 5 5 5 4 4 4 5 6 6 6 6 6 6 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 12 11 10 10 10 9 8 8 8 9 10 10 7 4 2 3 4 4 3 1 1 2 5 7 9 11 12 12 11 11 9 7 7 7 6 6 6 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 6 7 6 6 6 6 7 7 6 5 5 4 3 3 4 7 8 7 5 3 4 4 5 5 6 6 6 4 1 -0 1 3 4 6 11 18 18 11 9 9 4 1 4 5 -2 -7 11 22 30 27 11 2 -5 -11 -8 -2 -0 0 1 2 2 2 2 3 4 8 18 23 20 14 10 8 6 9 13 12 9 9 9 10 7 -0 0 6 7 5 4 8 9 9 8 5 4 6 8 13 8 4 9 3 5 6 3 6 5 5 5 4 5 6 6 3 3 6 9 9 -2 0 11 9 7 5 7 8 8 7 9 5 -3 -4 3 9 13 11 0 -2 6 9 10 16 21 21 19 17 15 13 10 9 7 6 4 5 6 8 8 8 7 4 2 2 3 5 6 7 7 5 5 10 17 21 17 10 7 8 7 6 6 7 7 6 5 6 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 7 7 6 5 5 5 4 4 4 3 2 2 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 7 6 6 5 5 4 4 4 4 4 4 4 3 3 4 5 6 7 8 8 10 12 11 7 6 10 10 8 7 7 6 6 6 6 5 5 6 6 6 5 5 5 2 -3 -1 5 7 7 7 6 6 6 7 7 6 6 7 7 8 9 9 9 9 8 8 7 7 5 5 5 6 7 10 14 15 11 6 5 5 6 5 5 6 6 8 9 10 9 9 7 7 7 8 9 9 10 10 11 11 13 19 22 21 17 12 8 6 5 4 4 5 5 4 5 5 5 5 5 6 6 6 7 8 9 8 8 7 6 6 5 5 4 4 4 4 4 5 5 6 6 6 6 7 7 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 14 13 13 12 12 10 9 8 9 10 11 9 7 5 4 5 6 5 2 0 0 2 5 7 9 11 11 11 11 11 8 6 6 7 7 7 7 7 7 7 7 7 7 9 9 9 9 7 6 6 6 6 5 5 4 4 4 4 5 4 4 3 3 3 4 5 5 6 6 6 7 7 7 6 6 7 7 6 4 3 3 3 4 6 7 7 5 3 3 4 4 4 5 6 7 5 2 0 1 2 6 12 19 20 14 9 6 1 -1 4 9 6 -5 -5 15 17 25 25 7 -4 -9 -12 -9 -4 -2 -1 0 1 1 2 3 5 6 14 23 22 17 16 16 12 6 5 8 10 12 14 11 9 7 2 4 7 9 10 8 7 3 3 3 2 3 7 11 11 8 6 8 2 4 8 2 5 8 7 4 4 5 6 5 3 1 1 6 11 2 5 12 15 13 4 7 12 11 8 7 3 -2 6 11 7 2 1 4 6 8 6 9 14 18 18 17 14 12 10 9 7 5 4 5 5 6 7 7 8 7 5 2 1 2 5 6 6 6 5 5 7 12 22 23 13 6 7 7 7 6 7 7 6 6 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 5 5 5 5 5 4 4 5 6 7 6 5 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 3 3 3 3 4 4 3 3 3 4 5 6 7 8 9 10 12 11 6 3 10 14 9 7 7 6 6 6 6 5 5 6 5 5 5 5 5 -0 -4 1 7 7 7 7 6 6 7 7 6 6 6 6 7 7 8 9 10 9 9 9 8 8 7 6 6 5 6 9 13 13 9 6 5 6 7 7 7 7 8 9 10 10 9 8 8 8 9 10 11 11 11 12 13 13 14 18 22 21 18 14 10 7 4 4 4 5 5 4 4 4 5 5 5 5 5 5 6 7 8 8 8 8 8 7 6 6 6 5 4 3 3 3 4 5 5 6 6 7 7 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 12 12 12 12 11 10 10 9 9 10 10 9 8 6 6 8 8 4 2 0 1 3 5 8 9 10 10 12 11 9 7 6 6 6 7 6 6 6 6 6 6 7 7 8 10 10 10 8 6 6 6 6 5 4 3 3 4 5 5 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 8 7 7 5 4 3 3 4 6 8 8 7 4 2 3 3 4 4 6 7 7 4 1 1 4 12 18 16 8 4 2 -3 -4 2 11 13 8 -2 -5 -1 3 9 9 -11 -18 -19 -15 -9 -4 -2 0 2 3 3 4 6 9 13 21 25 19 14 18 19 13 5 1 3 8 14 17 14 9 4 1 5 9 10 11 11 6 0 -1 5 7 6 12 10 7 10 12 9 6 8 9 6 6 8 5 4 6 8 7 8 8 2 -1 5 9 6 4 5 16 12 7 15 20 16 12 8 3 5 14 11 4 -4 -2 6 7 6 6 10 12 13 13 13 11 10 9 9 7 5 5 5 5 6 6 7 8 8 7 3 1 2 5 6 5 5 6 6 6 10 23 27 14 5 5 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 3 4 4 5 6 5 4 5 5 4 4 5 6 6 6 4 4 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 6 7 9 9 10 12 12 6 -0 5 13 10 7 6 5 6 6 6 6 6 5 5 5 5 6 6 2 -1 3 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 9 10 11 10 9 9 8 7 7 7 10 12 11 8 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 10 11 12 13 14 15 14 15 16 19 22 21 17 12 7 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 9 10 10 8 7 7 6 5 4 4 4 4 4 4 5 5 6 6 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 8 8 9 10 10 11 12 12 11 10 10 10 10 9 8 9 10 8 4 2 1 1 4 6 8 9 10 11 10 9 7 6 5 5 5 5 5 6 6 6 6 6 7 7 9 11 12 10 7 6 6 6 5 4 3 3 4 4 5 5 4 4 4 4 5 5 6 7 7 7 7 7 7 8 8 8 8 7 5 4 5 6 6 8 10 9 6 3 3 3 3 3 4 6 8 6 3 2 5 10 10 2 -5 -6 -8 -6 5 13 17 14 10 3 -5 -13 -1 3 -7 -19 -17 -12 -6 -1 3 4 5 5 6 7 8 13 21 24 26 24 15 10 12 12 10 4 -0 2 6 12 15 16 11 9 4 5 5 4 8 11 8 3 1 5 6 5 10 3 2 12 15 10 11 12 9 7 9 8 3 2 6 8 7 8 9 5 4 5 5 4 4 7 14 6 12 24 22 18 15 12 8 11 12 5 1 1 5 7 5 7 11 11 10 9 9 8 6 7 9 10 8 6 6 5 5 6 5 6 8 9 9 6 3 2 3 5 5 5 6 6 7 14 26 27 13 3 3 5 7 7 7 6 6 6 7 6 6 6 6 6 5 6 6 5 5 5 5 5 5 6 5 5 5 4 4 4 5 6 5 5 4 4 4 4 4 5 6 7 5 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 5 5 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 8 10 10 11 13 12 9 3 1 7 8 7 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 6 7 8 7 7 7 7 8 7 7 7 7 6 6 7 7 7 7 7 9 11 11 11 9 9 8 8 10 11 11 9 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 7 8 9 10 12 13 14 15 16 15 14 15 22 27 27 20 11 4 3 3 3 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 7 9 10 10 9 7 7 6 6 5 5 4 4 4 5 5 5 4 5 6 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 5 6 7 10 12 14 16 16 15 13 13 13 12 10 10 11 10 8 5 2 2 3 4 6 7 9 10 10 9 7 6 5 5 5 4 5 5 5 6 6 6 7 7 8 10 11 10 8 6 6 5 4 4 4 3 3 4 4 5 5 4 4 4 4 5 6 7 7 6 5 6 7 7 8 8 8 7 6 6 7 8 8 8 10 10 7 5 3 4 4 3 3 5 8 7 5 6 7 6 1 -4 -5 -5 -5 4 14 15 13 9 7 5 -1 -5 5 8 -2 -1 3 6 8 9 10 10 10 9 9 11 14 23 29 27 23 20 12 5 5 5 7 6 4 4 4 9 11 14 14 16 11 6 1 -2 4 9 9 8 5 1 3 7 5 -2 -4 5 9 9 12 10 6 7 12 12 4 0 4 6 5 5 6 7 9 7 4 5 10 14 11 6 16 21 14 9 6 6 9 9 4 -2 0 8 8 5 7 13 17 12 8 7 6 4 3 5 8 10 9 7 6 5 5 6 4 5 8 10 10 9 5 3 3 3 4 4 5 7 10 17 23 21 14 7 3 4 6 6 6 6 5 6 7 7 7 8 7 7 6 6 6 5 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 7 6 4 3 4 4 5 5 5 4 5 5 4 5 5 5 4 4 3 4 4 4 4 5 4 4 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 6 8 10 12 12 13 14 12 8 3 4 6 6 5 5 5 5 6 7 7 7 5 5 5 4 3 4 6 8 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 9 10 10 9 8 8 9 12 13 11 8 6 7 7 7 8 8 8 8 8 7 6 6 5 5 5 5 6 8 9 11 12 13 14 16 17 14 13 19 28 34 31 21 10 5 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 10 9 8 7 7 7 7 5 4 5 5 5 5 4 4 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 3 3 4 6 9 11 14 18 20 19 17 16 15 13 11 9 9 10 9 8 6 4 3 3 4 5 7 9 9 9 7 6 6 6 5 5 5 5 5 6 6 7 7 7 7 9 9 9 8 7 6 6 5 4 4 4 4 4 5 5 5 4 4 4 4 5 6 7 7 6 5 5 5 6 6 7 6 6 7 7 8 9 9 9 9 9 7 6 5 5 5 4 3 4 7 7 10 13 12 7 2 0 1 3 4 10 11 8 4 3 6 8 7 6 8 10 7 13 17 15 15 15 15 15 14 12 12 16 20 23 20 15 16 15 10 5 5 7 8 9 8 7 5 6 6 9 15 16 11 7 7 4 5 4 5 8 5 -0 2 9 2 1 1 -0 4 8 7 2 1 9 17 17 7 1 5 7 5 4 6 8 10 9 7 9 13 14 10 8 11 10 7 4 -5 -0 7 4 -4 -4 5 9 3 4 13 16 13 9 6 5 5 5 5 6 7 9 8 7 5 4 6 6 4 5 7 8 10 10 9 6 3 2 2 2 5 8 11 13 15 17 20 15 8 5 5 5 6 5 5 5 6 7 8 8 8 7 6 6 6 5 4 4 4 4 6 6 6 5 5 4 5 6 6 5 5 5 4 4 4 4 5 6 7 6 4 3 3 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 3 3 2 2 3 3 3 2 2 3 3 3 3 4 4 5 7 11 13 14 15 14 13 10 4 4 6 6 6 6 6 6 6 7 7 6 5 5 5 4 2 4 6 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 6 5 5 7 8 9 8 7 7 9 12 13 10 8 7 6 5 6 7 7 7 7 6 6 5 5 4 3 3 3 4 5 7 9 11 12 14 16 16 16 15 15 22 32 39 33 21 10 2 4 7 5 4 5 4 4 3 3 4 4 4 4 4 4 4 3 4 5 6 8 9 9 9 9 9 8 7 6 5 5 5 5 5 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 6 8 9 10 14 17 17 15 14 14 14 11 8 7 8 9 9 8 7 5 4 4 4 5 6 7 8 7 7 6 6 5 5 5 5 5 5 6 7 6 7 7 8 7 8 9 9 8 8 7 6 5 5 5 5 6 6 6 5 4 4 4 4 5 7 7 7 5 3 3 4 5 5 5 5 6 7 7 9 10 9 9 8 8 8 7 7 5 5 4 4 5 7 8 6 5 4 3 3 3 4 4 6 9 6 -0 4 13 14 10 9 11 11 10 15 19 18 17 17 16 17 17 16 18 21 21 15 9 8 13 12 6 4 7 9 12 13 11 10 7 3 2 5 13 11 8 12 15 13 10 3 2 4 3 4 10 15 4 4 7 3 5 5 2 -3 -1 9 18 15 10 7 6 3 4 6 7 7 7 8 8 9 12 14 13 11 6 2 6 5 -1 10 11 0 -10 -5 9 12 6 6 13 13 8 4 2 5 10 13 11 8 7 8 7 6 3 3 7 7 6 5 6 6 7 9 12 11 7 2 -0 1 4 8 9 9 9 15 19 18 17 13 7 5 5 4 4 5 5 6 7 8 8 7 7 5 5 4 4 4 3 5 6 7 6 5 4 4 5 6 6 6 5 4 4 4 4 4 5 6 7 5 4 3 3 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 5 5 4 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 5 7 10 13 16 16 15 12 8 4 5 6 6 6 6 7 6 6 7 6 5 4 5 5 3 1 4 7 7 8 7 7 7 7 7 7 8 8 7 8 8 7 7 7 7 6 6 5 5 6 7 7 6 7 9 12 11 9 8 6 5 4 5 6 7 7 6 6 5 4 4 4 4 3 2 2 3 5 6 8 10 13 14 15 16 15 14 15 25 43 52 38 13 4 6 10 12 12 11 7 4 3 4 4 4 4 5 5 5 4 4 3 3 4 5 8 9 11 11 10 8 7 6 5 5 4 4 5 5 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 6 7 8 7 7 8 11 11 10 9 9 12 12 9 8 7 8 8 9 9 8 7 6 5 4 4 5 6 6 7 6 5 5 4 4 4 4 5 6 6 6 6 7 7 7 8 10 11 10 10 8 6 5 5 5 6 7 7 6 5 4 4 4 4 4 6 8 8 7 4 3 3 3 4 5 5 6 6 7 8 8 9 9 9 10 10 9 8 7 6 5 4 4 6 4 -0 1 4 4 4 4 5 4 7 11 5 -2 11 25 23 12 12 17 15 12 15 16 13 11 10 11 14 18 21 24 24 18 10 8 10 13 12 7 5 5 9 12 14 14 13 8 4 1 -1 4 8 10 15 17 17 15 7 5 9 6 6 12 16 10 5 6 9 6 5 3 -2 -1 9 15 11 12 15 8 0 1 6 7 7 6 7 6 5 9 11 13 15 12 5 6 -1 6 17 12 -1 -13 -6 10 17 15 11 8 8 6 2 2 8 16 19 14 9 8 7 5 4 3 4 7 9 8 6 6 6 4 5 8 12 11 6 2 1 3 5 6 6 7 10 13 17 23 22 11 6 6 4 3 4 5 6 7 7 8 7 6 5 4 4 4 3 3 4 6 8 7 6 4 5 6 6 7 6 5 4 3 3 4 3 4 6 7 6 4 3 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 7 9 13 17 18 17 12 8 5 5 6 6 6 6 6 6 6 6 5 4 4 4 2 -2 1 5 7 7 8 7 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 6 6 5 5 6 6 6 7 9 10 9 8 7 5 4 3 4 5 5 6 6 5 5 5 4 4 4 4 3 2 2 3 3 5 8 10 11 13 15 15 13 12 16 33 56 48 23 11 8 10 19 25 24 19 12 7 5 3 4 4 5 5 5 5 4 4 4 3 3 5 7 9 10 9 8 7 5 4 4 5 5 5 6 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 7 8 8 7 6 6 8 9 7 6 8 11 13 12 10 9 9 8 9 9 10 10 8 7 6 4 5 5 6 6 6 5 4 4 3 3 3 4 5 6 6 6 7 7 7 8 10 11 11 10 8 6 5 6 7 7 8 8 7 5 4 4 4 4 4 6 9 11 10 7 4 3 3 4 5 5 5 5 5 6 7 9 10 10 11 11 10 9 9 8 7 5 4 5 5 7 8 7 6 5 6 6 5 7 7 1 -3 13 32 35 27 20 14 7 4 6 4 1 -1 1 4 10 17 24 24 19 11 6 7 9 10 10 10 9 8 10 11 14 15 13 7 4 4 -2 -2 4 9 12 12 14 14 11 10 12 9 6 5 6 7 6 10 12 6 11 8 2 3 10 13 9 12 17 10 1 -0 5 10 9 8 8 6 3 5 6 11 19 18 9 2 -3 11 21 12 -1 -10 -4 9 17 20 16 7 5 4 2 4 11 17 17 13 10 8 7 6 4 3 5 8 9 10 9 6 5 4 3 4 8 11 11 8 5 3 3 4 4 6 6 8 13 22 21 11 12 14 7 3 3 4 5 6 7 7 7 5 5 4 4 3 3 3 4 6 7 8 7 6 5 6 6 7 6 5 5 4 3 4 3 4 7 9 7 4 3 4 5 6 6 6 7 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 5 5 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 5 6 8 13 17 21 19 14 10 6 5 6 5 8 7 6 6 6 6 5 4 4 4 1 -6 -2 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 6 6 6 6 7 7 7 8 9 8 7 6 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 4 4 3 2 2 3 5 7 9 11 13 13 13 11 11 20 35 37 28 18 12 11 16 24 30 32 27 19 12 5 2 3 4 5 5 5 4 4 3 3 3 3 5 7 8 8 8 6 5 4 4 5 6 6 6 7 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 8 8 7 7 7 6 6 6 7 7 7 8 8 7 8 8 10 11 12 12 11 12 11 10 10 11 11 11 12 12 10 8 7 5 5 5 6 5 4 3 2 2 3 4 5 6 7 8 9 10 10 9 8 7 6 6 7 9 11 12 10 8 6 5 4 4 4 5 7 10 13 13 13 12 10 8 6 5 6 6 5 5 5 6 6 6 6 7 7 7 8 11 11 9 7 5 5 5 7 8 8 7 6 7 7 10 17 16 8 1 10 20 11 0 -11 -24 -20 -13 -12 -7 1 3 3 7 14 16 11 8 7 5 5 5 3 2 3 7 10 9 11 13 10 9 10 5 4 10 8 2 5 8 8 6 2 2 14 15 7 5 5 1 1 4 5 2 4 10 4 4 17 23 13 7 7 10 7 3 3 7 9 6 6 6 2 1 3 5 8 13 14 9 8 10 15 13 7 15 18 1 -3 4 8 9 9 7 4 5 10 12 11 11 12 11 8 6 6 7 8 7 8 8 8 8 7 7 6 6 6 6 5 6 10 13 12 6 3 3 3 3 4 5 6 9 15 20 17 11 6 4 8 9 8 8 7 6 6 5 4 4 4 3 2 2 3 4 5 6 7 7 7 6 6 6 6 6 4 4 5 4 4 6 7 9 9 7 6 7 7 7 7 7 6 6 5 5 6 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 10 13 17 20 19 14 8 5 5 6 6 7 7 6 5 4 4 4 5 6 6 7 4 0 3 6 7 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 7 7 7 7 8 8 7 8 9 9 8 7 7 8 9 9 8 6 6 6 6 7 7 7 6 6 6 7 7 8 7 6 5 4 2 2 2 3 4 6 8 10 10 9 9 10 12 15 15 15 12 10 12 16 22 26 25 21 16 14 13 12 8 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 4 5 5 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 9 7 6 11 16 18 17 16 13 13 6 7 16 17 16 16 16 12 8 8 8 9 11 12 11 9 8 8 11 12 12 11 11 10 11 10 13 15 14 13 13 14 15 13 11 12 14 13 13 12 12 12 14 15 17 16 15 13 12 12 13 13 12 10 10 11 10 12 15 16 13 7 6 10 12 12 12 11 12 12 11 10 8 6 6 7 10 12 13 13 12 12 13 12 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 14 14 12 11 9 9 9 9 10 11 12 12 13 13 13 13 14 14 12 9 10 14 15 15 15 13 13 13 14 15 15 14 12 11 12 13 13 12 12 14 14 14 14 14 14 14 14 14 14 14 14 12 11 12 13 12 12 12 12 12 12 11 11 12 14 15 13 12 11 7 6 7 14 18 16 17 16 16 15 15 15 14 15 17 19 20 20 19 19 21 25 29 32 32 32 30 28 26 23 20 18 17 16 15 15 15 17 18 17 15 14 13 13 15 16 18 18 16 15 15 15 16 17 17 16 16 16 16 16 15 15 15 17 19 20 18 14 13 13 14 13 15 15 14 14 14 13 14 14 15 15 15 15 14 13 12 12 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 14 14 13 10 10 10 10 10 11 10 10 11 11 11 11 11 11 12 12 11 11 11 11 10 11 11 11 12 12 12 12 11 10 10 10 11 12 12 12 12 11 11 11 11 11 10 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 14 16 15 14 14 17 16 13 11 7 3 3 7 12 14 13 12 12 12 12 12 12 12 13 14 15 18 21 24 25 22 19 14 11 10 10 11 11 11 12 12 13 16 18 18 18 16 14 13 13 13 13 12 12 12 12 13 13 13 12 12 13 14 15 14 13 12 13 15 16 17 16 15 14 14 14 13 13 13 12 12 12 14 18 20 18 13 9 11 15 16 15 13 13 14 14 15 15 14 14 15 15 16 16 16 15 14 14 14 14 14 14 14 13 13 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 9 5 4 13 18 19 13 11 11 17 17 11 9 8 10 11 11 11 10 10 9 10 11 12 13 13 13 12 14 14 11 9 9 10 12 12 12 14 14 13 13 12 10 10 13 16 18 17 16 16 15 14 13 12 11 10 10 10 11 12 13 15 15 7 6 12 15 15 14 13 13 15 15 14 12 8 6 7 9 11 13 13 12 12 12 12 11 10 10 11 11 12 12 12 12 12 12 12 13 12 11 13 14 13 12 10 9 10 10 11 13 13 13 13 13 12 13 14 13 12 12 13 14 15 14 13 12 12 14 16 16 15 13 12 11 11 10 11 12 13 13 14 14 13 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 8 5 5 11 17 20 21 19 17 16 15 14 14 15 15 17 19 18 18 18 18 18 18 20 22 23 23 21 19 18 17 16 15 15 15 14 13 14 14 15 15 13 12 12 12 14 16 17 16 14 13 13 13 16 19 18 15 15 15 15 13 11 7 6 9 12 15 16 16 16 15 14 15 15 15 15 15 14 14 15 16 16 16 15 14 13 12 12 12 12 13 13 13 13 13 13 13 14 14 13 12 12 12 12 11 11 11 11 10 11 11 10 10 11 11 12 13 13 14 13 12 11 10 10 10 10 10 11 11 10 10 11 11 11 12 12 11 11 11 11 11 10 10 10 11 11 11 12 13 11 10 10 10 11 11 12 12 12 12 11 12 12 12 11 10 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 13 14 15 16 16 17 16 12 8 4 4 6 9 12 14 14 13 12 11 11 12 13 13 13 14 15 16 19 23 28 27 21 15 11 10 9 10 10 9 11 12 12 13 13 13 13 13 13 14 14 13 13 13 13 13 12 12 13 14 13 13 12 13 14 14 13 12 12 14 16 18 17 15 14 13 13 15 15 15 14 13 12 13 14 17 20 17 11 8 11 13 15 14 14 14 14 13 14 14 14 15 15 15 15 16 15 15 14 14 14 13 13 13 13 13 13 13 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 17 8 5 11 13 12 8 10 10 11 9 10 12 12 10 8 10 13 14 15 18 18 16 13 9 9 8 10 12 13 15 15 15 14 13 11 11 12 12 13 13 14 15 15 15 15 13 11 11 11 11 12 12 13 14 16 15 8 9 14 15 15 14 15 15 16 16 17 14 9 6 7 8 10 12 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 13 14 13 13 13 13 12 11 12 13 14 14 14 15 14 14 14 12 12 14 15 16 16 15 14 12 11 10 10 11 13 14 14 13 13 13 12 12 13 14 14 14 14 13 13 14 13 12 13 12 13 13 12 12 13 13 13 13 12 12 12 12 12 10 8 8 10 15 20 26 27 21 17 15 15 15 14 15 16 16 17 18 18 16 14 14 16 16 18 18 17 17 18 18 18 17 16 16 15 13 13 14 14 14 14 12 11 12 15 16 17 16 15 13 12 15 17 16 15 13 13 12 13 12 10 6 7 9 11 14 16 17 16 16 15 16 16 16 15 15 15 15 15 14 14 14 13 13 13 13 13 12 13 13 12 13 13 12 13 13 12 12 12 13 12 11 11 11 10 10 10 11 12 11 12 12 13 14 14 14 12 10 9 9 9 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 13 13 15 17 17 18 17 15 11 8 8 11 14 16 16 15 14 13 12 11 12 13 13 14 14 15 15 18 20 21 25 24 18 12 10 9 9 9 9 10 11 11 12 12 12 12 13 13 14 13 14 14 14 14 13 12 11 12 13 14 14 14 13 13 13 14 12 11 13 16 17 17 16 14 14 13 13 13 14 15 15 15 15 15 14 15 20 17 11 10 9 10 11 13 15 14 13 13 14 15 15 15 16 15 15 15 15 15 14 14 14 14 13 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 12 13 14 13 12 13 11 9 9 11 15 18 17 12 11 10 9 10 11 13 15 16 16 14 13 12 12 13 13 11 9 7 7 8 9 10 12 12 10 11 11 10 10 11 13 15 17 14 11 11 13 12 13 13 13 13 13 13 13 11 8 6 7 8 9 10 10 10 10 11 11 11 12 12 12 12 11 12 13 13 12 12 12 11 12 12 12 12 12 13 12 12 13 14 14 14 14 13 11 10 11 13 15 15 15 16 15 14 12 12 12 13 14 15 15 15 14 14 13 11 11 12 12 13 13 14 13 13 12 12 12 13 13 14 14 14 13 13 14 13 13 13 12 13 12 12 13 14 14 13 13 13 12 13 13 14 13 10 8 5 5 11 30 37 25 19 17 17 16 14 14 14 15 16 17 17 17 16 14 14 15 16 16 16 16 19 23 26 22 18 18 18 16 15 14 13 12 13 13 12 12 12 13 15 15 14 14 13 14 15 15 15 14 13 13 14 14 14 12 9 8 9 10 13 16 17 16 15 15 16 16 15 14 14 14 14 13 13 13 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 12 11 11 11 11 12 13 13 14 15 15 16 14 12 11 9 9 9 9 10 10 10 10 11 10 10 11 10 10 10 11 11 11 11 11 10 10 10 10 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 10 11 11 12 12 12 13 13 13 12 13 13 16 18 19 18 15 13 13 12 11 12 15 16 16 15 14 12 12 12 12 12 13 14 14 15 15 16 19 22 24 23 19 15 11 9 10 10 9 9 10 11 12 12 12 11 12 13 14 13 13 13 13 13 13 13 12 11 12 12 13 14 15 14 15 15 13 12 12 14 16 16 16 14 13 13 13 12 13 13 15 15 15 15 16 16 16 18 20 16 13 9 9 10 13 16 15 13 12 12 14 15 14 14 15 15 16 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 11 14 16 14 10 10 9 10 12 14 15 15 15 14 12 14 14 14 14 13 12 11 9 6 5 6 8 10 10 10 10 9 8 9 11 13 15 16 14 12 12 12 12 12 12 12 12 12 11 10 10 9 8 8 8 8 7 7 9 9 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 13 14 14 14 14 14 14 12 11 12 13 14 15 15 15 14 13 13 12 12 14 14 13 13 13 13 15 14 12 11 13 13 13 13 14 13 13 13 13 13 13 13 14 14 15 14 13 13 13 14 13 13 12 12 12 13 14 14 13 13 13 13 13 13 12 12 12 9 4 -3 -1 23 40 32 25 19 17 16 15 15 14 14 15 15 16 16 16 16 15 15 16 15 12 9 11 22 32 29 22 22 19 16 15 14 13 12 12 13 13 13 12 12 12 13 14 13 14 14 13 13 13 13 12 12 12 13 12 11 11 10 10 10 11 13 16 16 16 15 14 15 15 14 14 15 14 14 13 13 13 13 13 13 13 13 13 13 13 12 13 12 12 12 12 12 12 12 13 13 13 14 16 16 16 17 18 18 17 15 14 12 10 9 9 9 9 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 10 10 10 10 10 10 11 12 13 13 13 13 14 14 14 13 14 16 18 17 13 10 10 12 12 12 13 14 16 15 13 13 13 12 12 12 13 14 14 14 15 15 17 20 24 26 25 21 14 10 9 8 9 9 10 11 11 11 11 11 11 12 13 14 14 13 13 12 11 12 13 13 13 14 14 14 14 14 13 13 14 14 13 14 15 15 13 13 12 13 14 14 13 11 13 14 15 14 13 13 15 16 19 20 17 14 12 11 12 13 14 15 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 6 6 6 6 6 6 7 9 11 14 17 16 17 20 22 19 16 17 19 19 19 19 20 19 14 9 9 10 11 13 12 11 11 11 11 11 11 13 15 16 16 14 13 12 11 10 10 9 9 8 7 7 6 6 6 6 6 6 6 5 4 2 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 5 5 4 2 3 10 16 19 19 15 13 12 9 7 4 1 1 6 5 6 7 7 10 14 23 19 6 0 0 0 0 0 0 0 0 0 0 0 0 7 21 37 51 66 76 76 71 74 85 100 110 109 95 71 52 44 44 56 74 87 96 103 107 109 113 115 111 105 99 91 76 51 26 5 0 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 7 12 13 20 38 59 82 101 108 95 79 72 85 106 117 113 106 115 122 107 90 102 125 133 139 146 149 142 122 92 77 79 83 81 88 109 120 114 116 129 130 127 135 148 152 164 181 167 157 146 143 144 145 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 6 6 6 6 6 6 7 8 9 10 12 12 14 15 14 13 14 15 16 15 14 16 17 16 11 10 11 13 15 15 15 15 16 17 16 14 15 17 18 18 16 14 12 10 9 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 4 2 0 0 0 1 1 1 1 1 2 2 2 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 5 5 5 7 15 19 21 21 19 17 17 17 18 15 10 6 11 13 15 13 11 14 19 24 14 3 0 0 0 0 0 0 0 0 0 0 0 0 4 16 34 50 66 77 74 66 67 75 87 95 91 76 53 32 16 8 17 36 57 76 90 99 103 108 111 110 104 98 93 88 77 62 43 21 4 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 7 22 51 74 101 106 87 68 67 88 111 125 130 132 130 122 117 122 129 133 139 148 161 171 168 152 141 137 132 131 140 142 130 118 123 136 139 133 136 145 153 168 179 169 151 136 129 128 129 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 7 6 6 6 6 6 6 6 7 8 9 9 9 9 10 11 11 11 12 13 13 13 13 13 13 10 9 10 12 15 16 16 16 15 15 15 15 15 16 17 16 14 12 11 8 7 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 3 1 0 0 1 1 1 1 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 4 5 8 12 17 19 20 18 17 17 18 18 18 16 15 15 16 18 18 16 18 20 17 6 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 28 47 62 70 65 57 58 64 72 75 70 54 34 16 4 0 0 3 14 38 64 81 91 98 103 106 102 96 91 87 85 79 70 59 38 24 22 15 8 6 4 1 1 2 4 2 0 0 0 0 0 0 0 0 1 2 10 43 74 98 111 98 74 60 70 96 120 132 135 132 126 120 116 114 115 120 127 141 161 178 183 177 170 159 152 149 141 123 118 121 129 133 125 121 125 134 148 159 155 139 128 124 118 114 112 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 9 9 8 8 8 6 6 6 6 6 6 7 8 9 9 9 9 9 9 10 11 12 13 14 13 12 10 9 10 12 14 14 15 14 13 12 12 13 14 14 13 12 10 9 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 3 1 0 0 1 1 1 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 4 4 3 4 7 8 13 17 18 16 15 13 14 16 16 15 14 15 17 19 20 21 21 20 13 3 0 0 0 0 0 0 0 0 0 2 8 9 4 3 9 20 40 55 61 56 46 47 51 53 55 49 33 20 12 4 0 0 0 0 1 27 47 67 80 87 92 93 91 88 86 86 85 81 76 74 69 56 43 38 38 32 19 8 6 8 4 0 0 0 0 0 0 0 0 4 21 48 80 112 121 119 107 86 62 59 80 111 132 136 136 129 118 112 104 105 109 112 117 132 148 162 166 163 153 142 131 117 104 99 93 93 98 100 96 96 102 112 128 132 122 119 120 113 100 95 98 nan nan nan nan nan nan nan nan nan nan 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 10 10 10 10 8 7 6 6 6 6 6 7 8 9 10 9 9 9 9 10 11 12 13 14 13 12 11 11 13 13 13 12 10 10 10 10 10 10 10 9 8 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 2 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 6 7 11 16 17 16 15 13 11 11 12 13 15 17 19 21 23 24 24 17 5 0 0 0 0 0 0 0 1 3 5 13 29 30 20 8 6 11 30 49 54 46 37 37 39 41 39 33 19 14 11 7 0 0 0 0 0 4 14 33 53 63 69 73 75 76 79 82 86 88 88 89 87 79 64 58 62 62 52 29 12 10 8 1 0 0 0 2 15 25 9 9 43 86 111 136 134 122 110 94 67 61 72 100 125 134 134 125 114 109 100 97 103 104 105 113 122 129 131 129 123 116 110 100 87 71 58 52 60 72 73 72 75 83 94 110 111 111 112 105 87 79 87 nan nan nan nan nan nan nan nan nan nan 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 8 9 10 11 12 10 9 8 7 6 6 6 6 7 8 9 10 10 9 8 8 8 10 12 13 13 13 12 13 13 12 11 10 8 7 8 8 8 8 7 7 7 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 7 10 16 17 17 16 16 17 12 7 11 18 22 24 23 25 26 22 12 4 0 0 0 0 0 1 4 8 14 21 31 40 39 32 16 10 6 21 48 50 30 21 22 22 26 23 18 12 11 8 5 1 0 0 0 0 0 2 8 23 36 45 47 50 55 60 65 70 79 89 93 95 90 77 64 60 59 54 40 19 12 16 17 9 0 0 8 36 60 53 48 86 118 129 138 132 122 111 93 75 72 80 95 113 126 129 121 110 105 103 100 102 102 100 104 114 115 108 100 95 94 92 86 73 55 39 31 34 41 48 52 58 68 75 86 101 109 111 101 74 68 78 nan nan nan nan nan nan nan nan nan 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 7 8 11 12 12 11 10 9 8 7 6 6 7 8 8 9 10 10 9 8 7 8 10 13 14 14 13 13 12 11 11 10 9 8 7 8 8 8 7 6 7 6 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 12 17 18 17 17 18 18 13 8 14 24 29 27 24 22 22 16 8 2 0 0 0 0 0 3 10 23 30 36 41 45 44 39 23 15 10 22 50 51 22 12 2 2 5 5 5 6 4 2 1 0 0 0 0 0 0 0 0 5 15 23 24 27 33 34 36 40 43 56 72 84 89 87 77 64 51 40 33 18 9 15 49 51 33 8 13 47 74 104 110 124 136 137 136 131 122 106 84 73 76 89 100 112 120 125 119 108 99 100 108 110 106 102 105 114 113 98 82 78 81 80 71 56 39 26 20 22 23 28 36 47 63 71 75 91 109 114 99 74 67 73 nan nan nan nan nan nan nan nan nan 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 9 13 13 12 11 11 10 9 8 8 8 8 8 9 9 10 10 9 8 8 9 10 12 13 14 14 14 13 13 12 11 10 9 8 8 9 8 8 8 7 6 4 3 2 2 2 3 3 2 2 2 2 1 1 2 2 3 2 2 2 3 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 7 11 17 18 18 20 20 17 10 9 20 29 32 27 19 14 12 8 3 1 0 0 0 0 0 4 12 29 38 44 45 46 44 39 27 17 16 28 48 47 24 8 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 4 9 14 17 17 18 18 19 19 19 26 46 65 78 82 80 69 51 38 20 8 4 53 83 91 55 27 50 76 112 123 130 132 135 137 135 124 103 78 65 70 85 103 118 126 127 121 109 96 92 100 110 111 110 113 119 115 92 70 69 77 73 62 46 32 27 28 32 30 29 31 42 58 73 82 92 107 112 95 73 69 74 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 5 4 4 7 13 13 11 10 11 11 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 9 10 12 14 15 15 14 13 12 12 12 10 9 9 9 9 8 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 8 9 14 18 20 24 25 22 16 14 26 32 30 21 13 8 6 2 0 0 0 0 0 0 0 4 10 22 34 42 44 42 34 25 17 13 14 26 41 39 22 8 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 3 0 0 1 4 8 10 12 15 15 13 14 16 20 32 47 64 78 86 85 76 56 25 6 32 67 85 71 47 54 78 104 113 117 124 135 142 142 132 110 83 67 67 78 96 116 129 131 126 119 104 90 96 110 116 121 126 129 122 86 64 69 75 68 56 42 34 39 50 59 58 50 43 48 64 81 90 94 104 108 92 74 73 76 69 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 4 5 5 4 6 11 13 10 8 9 11 11 11 10 10 10 9 9 9 10 10 10 10 9 8 8 8 9 10 12 14 15 14 13 12 12 12 11 9 9 9 9 8 7 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 8 11 16 20 25 28 27 26 26 28 28 21 13 8 4 2 0 0 0 0 0 0 0 0 1 6 14 21 33 36 28 17 12 9 7 10 24 36 32 20 7 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 12 8 2 0 0 1 4 7 10 12 7 12 13 14 17 23 33 50 77 101 111 99 62 25 23 36 60 66 58 61 81 103 106 97 102 126 146 149 142 124 97 79 75 82 95 109 119 124 124 124 112 93 94 108 119 130 136 135 119 88 70 74 77 68 52 39 38 52 69 77 77 70 61 62 74 90 90 94 105 110 98 84 82 82 73 nan nan nan nan nan nan nan 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 5 6 6 6 9 11 10 8 8 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 9 10 10 11 12 14 15 14 13 11 11 11 10 9 8 8 8 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 8 10 14 18 22 24 25 25 25 20 15 11 9 6 1 0 0 0 0 0 0 0 0 0 0 2 8 12 21 21 15 10 5 2 0 4 15 27 27 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 13 7 2 0 0 0 1 3 2 0 5 8 11 13 15 19 28 48 80 108 117 92 49 26 24 38 50 52 58 77 101 106 93 89 110 141 150 147 139 122 102 92 95 106 116 115 113 114 118 110 95 95 109 125 138 142 135 115 88 75 77 75 62 45 39 47 68 84 86 84 84 82 78 76 80 83 91 104 113 106 97 90 88 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 0 1 4 8 9 8 8 9 8 7 7 8 10 11 11 12 12 11 10 10 10 10 10 10 9 8 8 8 9 9 10 11 13 14 14 13 12 10 10 9 9 8 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 7 8 11 15 18 16 13 9 5 5 5 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 10 9 7 2 0 0 1 4 9 14 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 12 12 8 1 0 0 0 0 0 0 1 4 8 9 8 7 12 23 40 71 97 93 62 28 11 19 30 37 47 65 90 107 104 95 101 127 152 151 150 150 129 109 108 116 122 119 113 108 110 105 93 92 108 128 142 143 131 107 82 74 75 67 51 39 43 61 87 94 89 86 95 99 97 84 82 78 83 92 100 98 90 88 91 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 0 0 3 8 10 9 8 10 9 6 6 6 9 11 12 12 12 12 11 10 10 10 10 10 8 7 6 6 7 8 9 9 10 12 13 12 11 9 9 9 9 9 8 8 7 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 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 2 6 8 7 6 7 11 14 8 4 2 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 1 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 7 1 0 0 0 0 0 0 0 4 8 7 3 1 2 3 12 33 61 78 71 39 1 1 5 15 30 46 70 96 112 104 99 113 146 154 155 163 147 123 114 114 112 112 113 113 112 107 99 95 103 121 138 140 124 97 76 71 71 59 43 38 49 74 101 102 90 82 89 88 87 85 87 78 72 73 79 86 90 91 94 98 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 2 5 6 5 7 13 15 9 4 4 6 10 12 13 13 12 11 10 9 9 9 9 8 6 5 5 5 6 7 8 9 10 11 11 9 8 8 8 9 9 9 8 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 6 4 5 4 2 2 2 1 2 4 8 6 5 5 6 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 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 5 5 2 0 0 0 0 5 23 52 69 56 16 0 0 1 16 31 48 72 98 106 101 105 129 148 154 159 153 135 120 111 105 105 112 119 120 116 108 99 98 110 126 131 123 99 78 73 70 53 41 42 56 84 106 106 95 83 74 64 54 52 53 53 53 60 75 90 99 101 101 101 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 1 1 1 1 4 13 19 12 3 2 3 8 12 12 12 12 11 10 9 8 8 8 7 6 5 4 4 4 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 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 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 4 8 8 7 6 6 6 5 4 2 1 1 3 6 5 2 2 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 2 19 42 59 33 4 0 0 6 22 34 50 78 101 97 91 104 132 150 155 158 151 136 121 110 110 119 128 129 125 118 106 96 99 107 112 115 104 88 79 70 53 44 47 61 87 109 112 102 88 71 54 40 28 20 31 50 73 92 105 109 112 105 96 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 1 7 14 10 3 1 1 4 9 10 9 11 11 10 8 7 6 6 6 5 4 3 3 3 3 4 4 5 6 7 8 8 7 7 7 7 8 8 8 7 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 8 9 8 4 3 2 1 0 0 0 0 0 0 1 1 2 4 5 5 4 2 1 4 5 6 6 7 6 6 6 5 3 2 0 1 3 2 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 2 4 4 7 2 0 0 0 0 0 0 2 13 34 34 13 3 0 1 16 28 37 62 92 93 77 80 108 139 154 160 161 153 141 128 124 128 134 134 133 128 117 105 98 93 93 99 98 87 79 71 56 47 47 60 84 107 116 112 103 88 70 56 44 42 65 90 105 110 113 116 113 100 91 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 6 7 6 8 10 10 8 6 5 5 5 4 3 2 1 2 2 2 2 2 3 4 5 6 6 6 6 6 6 6 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 10 12 12 9 6 4 3 2 0 0 1 1 2 2 3 5 6 6 3 2 0 1 4 5 6 6 7 7 6 6 5 4 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 11 13 14 5 2 0 0 0 0 0 0 2 10 21 22 13 4 0 8 22 34 52 77 85 69 63 85 120 146 158 160 159 156 146 138 135 134 134 137 136 129 118 109 98 91 91 88 80 74 70 61 52 51 58 76 97 112 119 119 112 101 92 91 104 108 117 117 113 110 109 100 91 85 87 nan nan nan nan nan 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 0 0 0 0 0 0 0 1 1 0 0 0 0 1 3 5 5 4 4 7 9 7 4 2 3 3 4 3 2 1 0 1 0 0 0 0 0 1 2 3 4 5 6 6 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 5 6 8 8 6 5 4 3 2 2 2 3 3 3 5 6 6 4 1 0 0 3 6 7 7 7 8 6 6 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 12 16 18 14 10 6 1 0 0 0 0 0 0 2 16 34 34 14 0 2 13 30 43 61 73 62 51 69 103 129 149 155 158 160 153 148 142 136 133 135 138 135 129 123 115 107 99 88 77 72 71 66 60 57 59 69 83 97 112 123 122 118 112 113 122 121 114 107 103 102 96 86 78 76 78 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 19 11 2 0 0 0 0 1 0 1 2 2 1 1 0 2 5 6 6 4 3 4 6 6 2 0 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 4 4 5 5 3 1 0 0 1 7 9 10 10 9 9 8 7 7 6 3 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 3 7 9 14 19 25 28 23 16 10 3 0 0 0 0 0 0 3 18 44 53 30 4 0 6 27 36 48 61 58 52 66 96 122 140 154 161 159 152 148 145 139 134 135 136 134 129 128 132 130 116 92 76 73 74 73 70 67 66 69 74 83 96 110 116 115 111 109 110 110 106 97 93 94 88 78 72 73 78 85 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 24 22 13 5 2 1 3 3 1 0 0 2 2 2 2 3 6 8 8 6 3 2 3 2 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 3 3 4 4 4 3 2 1 0 0 0 4 9 10 11 15 9 9 8 8 8 6 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 3 2 0 0 1 0 0 0 0 0 0 0 3 11 15 21 30 36 37 33 24 13 4 0 0 0 0 0 0 2 11 34 53 43 12 1 10 35 33 34 45 56 60 71 96 124 148 166 173 169 155 145 145 142 138 138 138 133 123 122 136 145 134 105 82 76 79 81 80 78 77 76 75 78 85 97 106 108 104 101 101 105 106 100 96 95 90 79 74 78 84 94 nan nan nan 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 17 16 10 6 6 7 5 1 0 0 0 1 1 2 3 6 8 9 9 6 4 2 1 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 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 2 2 2 3 3 3 3 2 1 0 0 0 2 4 8 11 12 10 9 8 8 8 7 7 6 4 4 4 3 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 11 8 7 8 9 4 1 0 0 0 0 1 4 12 20 28 34 38 41 40 28 12 3 0 0 0 0 0 0 0 3 14 37 44 10 0 22 45 36 23 28 48 62 71 91 119 149 171 182 180 169 157 154 153 146 144 144 141 128 118 130 148 145 121 94 80 80 84 87 87 88 87 82 79 80 86 93 96 93 93 98 106 110 108 107 106 101 93 88 90 94 102 nan nan nan 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 6 8 10 13 15 11 4 0 0 0 0 1 1 2 5 7 10 11 9 6 3 2 0 0 0 0 0 0 0 0 0 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 1 2 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 4 2 3 2 1 0 1 2 2 2 2 1 0 0 0 2 7 9 10 12 12 9 7 7 7 7 6 5 5 4 4 4 4 3 4 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 4 9 13 18 21 29 30 24 15 7 4 4 4 6 12 21 30 34 34 35 40 41 30 13 2 0 0 0 0 0 1 2 1 0 15 30 10 5 30 52 44 21 16 37 59 72 85 107 134 159 176 180 174 170 167 166 160 153 148 148 140 127 130 143 148 136 110 88 81 83 87 92 96 97 92 86 81 80 82 83 82 83 93 104 111 112 113 112 112 109 106 104 103 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 17 9 2 1 4 9 16 21 18 10 2 0 0 0 1 1 1 3 5 8 11 11 7 3 2 3 2 2 1 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 5 1 2 1 0 0 0 1 2 2 1 1 0 0 3 10 13 11 9 9 10 9 8 6 6 6 6 6 5 5 5 5 4 4 5 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 15 21 25 39 43 41 37 32 26 23 19 18 23 30 33 31 30 32 37 38 27 11 2 0 0 0 0 1 5 5 3 0 4 17 21 23 43 61 53 28 16 30 57 73 78 88 114 144 167 171 166 168 167 168 167 160 153 149 146 138 135 139 144 141 126 104 88 82 85 93 102 107 104 95 86 79 76 76 75 76 84 94 102 108 113 116 118 120 122 123 119 114 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 29 21 10 2 1 5 13 19 20 16 7 1 0 0 0 0 0 1 2 4 7 6 3 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 3 2 2 1 0 0 0 0 1 2 2 2 2 4 9 14 13 9 6 5 5 7 8 7 6 5 6 6 6 6 5 5 4 4 6 8 7 6 5 4 3 3 4 3 3 4 2 4 5 4 3 3 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 2 5 6 4 11 17 22 33 41 41 40 43 50 52 43 32 30 34 32 26 27 35 40 36 21 7 0 0 0 0 0 4 9 8 4 1 1 15 32 50 71 78 60 35 22 32 57 71 71 66 90 128 161 165 156 153 157 161 162 159 157 155 151 146 142 138 136 137 135 120 100 86 84 92 104 112 115 109 97 85 79 76 74 72 75 81 90 99 108 116 123 130 138 141 138 134 127 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 22 25 20 12 5 4 9 16 22 22 16 6 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 8 7 7 6 4 2 2 2 2 3 4 3 4 8 10 11 11 9 7 5 1 2 4 6 7 7 6 5 6 6 6 6 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 7 8 8 7 7 6 7 6 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 8 10 13 16 21 32 40 43 42 42 51 68 68 47 36 34 28 24 31 44 45 31 12 3 0 0 0 0 0 5 11 11 6 1 0 11 35 67 96 98 74 48 33 36 54 68 69 65 74 105 146 164 154 142 144 150 155 159 162 163 162 159 152 142 134 132 136 130 114 97 88 93 104 112 119 122 114 98 85 79 74 68 66 71 80 90 100 110 118 129 138 140 138 135 126 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 10 15 17 17 13 9 10 15 24 29 26 21 13 6 2 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 10 10 9 8 7 7 8 7 8 8 7 8 11 12 10 8 6 6 5 1 0 2 6 8 9 8 6 6 6 6 6 6 5 5 6 7 7 8 8 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 7 6 6 4 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 1 3 1 1 1 0 0 0 0 3 5 7 12 15 16 23 35 47 51 50 48 54 73 79 56 37 34 29 27 40 48 39 19 5 1 0 0 0 0 0 3 11 16 11 3 0 7 30 64 91 93 73 55 40 39 51 63 68 68 72 86 125 160 158 135 126 132 140 150 160 166 168 170 163 152 143 138 138 134 125 112 99 97 102 109 118 128 128 113 96 86 78 69 64 65 72 83 94 103 111 121 127 127 126 125 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 5 10 14 16 19 22 26 28 25 23 18 12 7 2 0 0 0 0 0 2 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 1 1 2 2 2 2 2 1 1 0 1 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 9 10 11 12 12 10 9 10 10 11 12 12 12 11 12 10 8 3 2 2 2 0 0 2 4 6 8 8 7 7 6 6 6 6 6 5 5 6 7 8 8 8 8 9 10 10 10 11 11 11 10 9 9 8 8 8 8 8 8 6 5 4 4 4 5 6 4 1 1 1 0 0 3 6 7 7 7 7 5 4 3 2 2 1 1 2 3 7 13 18 26 40 50 55 51 47 58 76 73 52 38 35 36 43 50 45 26 8 1 0 0 0 0 0 0 1 7 17 15 3 0 4 26 52 67 66 53 40 32 36 46 57 66 72 76 80 104 142 159 143 121 113 118 130 145 158 168 175 170 160 152 146 147 143 135 125 114 107 105 106 114 126 132 124 110 97 85 74 66 62 64 75 87 97 105 111 115 115 115 118 121 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 10 4 0 3 9 16 22 26 22 17 12 11 10 10 10 8 4 2 0 0 0 1 2 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 1 1 2 2 2 1 0 0 0 0 0 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 8 9 11 12 12 13 12 11 10 9 10 12 13 13 13 12 11 6 4 2 2 1 0 0 0 0 2 5 7 8 7 6 6 6 6 5 5 5 5 6 7 7 5 4 6 7 8 9 10 11 11 11 12 12 11 10 9 9 8 8 8 7 7 6 6 6 7 7 8 8 7 7 4 5 7 11 13 12 11 11 9 10 10 10 8 3 1 0 0 3 9 15 26 40 50 56 50 43 51 62 56 45 39 39 44 51 51 39 18 3 0 0 0 0 0 0 0 0 2 12 15 5 0 2 22 40 49 50 42 27 17 26 42 53 61 69 76 80 91 120 153 152 122 103 103 114 127 142 156 171 169 161 154 152 154 154 147 135 124 118 112 107 110 124 134 129 120 108 91 78 69 60 58 67 82 94 101 104 107 109 112 118 121 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 15 10 3 2 4 8 11 12 11 6 2 1 2 4 7 10 10 5 1 0 0 0 0 2 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 1 2 2 3 2 1 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 13 13 13 13 13 11 10 10 11 12 12 13 12 11 9 4 1 0 0 0 0 0 0 1 3 6 7 8 7 6 6 5 5 4 4 5 6 6 3 0 0 0 1 1 4 4 7 9 10 10 12 12 13 13 12 11 9 9 8 8 8 8 8 9 10 12 14 16 16 16 14 12 12 13 14 14 14 13 14 16 16 17 16 10 3 0 0 2 6 10 18 34 50 61 53 42 43 46 42 39 38 40 45 47 44 34 17 5 0 0 0 0 0 0 0 0 0 5 12 9 2 5 16 29 36 46 47 30 14 18 39 53 57 62 68 75 83 103 145 158 127 101 97 104 113 122 135 152 160 160 159 160 162 163 157 145 132 128 122 114 113 124 140 132 128 118 98 77 62 54 55 65 81 94 98 98 102 107 112 117 114 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 21 22 17 9 3 1 1 1 1 2 1 0 0 0 0 2 4 7 7 4 1 0 0 0 0 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 1 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 7 7 7 8 10 10 10 10 10 9 9 10 13 13 12 13 13 12 9 5 1 0 0 0 0 0 0 2 5 8 9 9 8 6 5 4 3 2 3 6 7 6 3 0 0 0 0 0 1 1 3 5 5 7 10 12 13 14 14 14 13 11 10 9 9 10 10 13 15 18 20 21 22 22 20 18 15 14 13 12 12 11 11 12 15 18 19 15 8 2 0 1 5 8 12 27 46 63 62 49 40 36 36 35 34 36 39 41 40 32 18 7 1 0 0 0 0 0 0 0 0 1 1 9 9 11 14 17 21 34 47 41 27 24 35 47 53 56 58 62 68 86 132 156 138 111 97 97 102 108 117 130 145 154 159 165 170 173 169 157 140 135 130 124 122 129 137 133 129 126 108 77 53 46 52 67 86 96 95 92 96 104 106 104 99 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
29 30 30 25 15 6 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 1 3 6 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 3 1 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 7 7 7 7 7 6 6 7 7 7 6 5 6 8 10 11 11 11 12 13 11 8 5 1 0 0 0 0 0 2 6 8 10 10 10 8 7 5 4 3 2 3 6 7 7 5 1 0 0 0 0 2 2 2 2 2 3 5 8 11 14 14 15 15 14 13 12 12 12 11 13 17 20 23 24 25 24 24 21 18 16 12 9 7 6 6 7 10 14 17 16 12 6 0 2 6 8 10 21 39 57 69 66 53 42 38 37 34 31 32 34 36 31 21 12 6 4 2 0 0 0 0 0 0 0 0 5 10 14 15 12 8 14 29 38 37 33 30 30 36 45 46 44 45 61 101 144 149 128 108 97 95 99 105 114 130 144 150 159 169 176 177 172 156 139 132 131 130 132 133 128 126 130 122 94 65 51 57 75 93 98 92 89 93 100 99 91 85 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 25 28 27 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 5 2 0 0 0 1 3 7 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 9 8 8 7 6 6 6 7 7 6 6 7 8 9 10 10 10 11 11 9 7 5 3 1 0 1 3 5 7 9 10 11 11 10 9 7 5 4 3 3 3 4 6 7 7 4 1 0 0 2 3 3 3 2 1 1 1 2 4 8 11 14 15 14 14 14 14 12 11 12 16 21 23 24 25 24 24 22 20 17 13 9 7 7 7 7 9 13 16 17 16 13 7 3 7 10 14 22 34 49 64 75 73 62 52 47 42 36 32 31 34 32 25 17 13 12 9 6 1 0 0 0 0 0 0 1 4 10 16 13 6 2 7 19 33 38 29 20 18 24 29 29 28 35 65 109 137 139 126 110 98 93 96 106 120 137 146 152 162 170 175 181 172 148 130 131 134 134 129 123 123 129 130 118 98 81 81 93 101 101 94 91 96 100 97 87 80 80 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 15 19 19 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 1 0 0 0 0 1 6 7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 5 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 10 9 8 7 7 8 8 8 9 9 9 9 10 10 10 11 10 9 8 7 6 6 6 5 6 7 8 9 11 11 11 11 10 9 8 7 6 5 5 4 4 4 4 6 7 6 2 0 1 2 3 4 3 2 0 0 0 0 0 0 3 7 10 12 12 13 13 12 11 10 11 14 17 18 18 19 20 20 19 18 17 14 13 12 13 13 14 17 20 23 24 22 18 14 14 16 21 26 33 41 51 67 78 76 69 62 57 52 43 35 33 34 29 21 18 16 13 11 4 1 0 0 0 0 0 0 0 3 12 14 10 2 0 2 18 32 31 23 16 13 14 15 15 20 38 68 101 123 129 123 108 98 94 102 118 136 146 152 158 161 165 173 170 156 141 135 136 134 125 116 118 128 134 136 128 115 111 113 110 105 100 98 100 103 98 88 82 80 84 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 9 12 11 8 4 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 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 5 7 8 7 7 7 8 9 10 10 11 11 10 10 9 9 10 8 6 4 5 7 7 7 6 7 8 10 11 12 12 11 10 9 8 7 6 6 6 6 5 5 5 4 5 6 6 4 1 0 1 2 3 4 2 0 0 0 0 0 0 0 1 2 5 6 8 9 9 9 8 7 6 6 6 7 9 12 14 14 16 18 20 20 19 18 18 19 21 25 30 33 33 29 26 24 24 26 30 33 38 43 51 62 70 73 71 68 68 64 55 48 43 35 27 22 17 14 13 10 6 4 1 0 0 0 0 0 1 4 8 12 9 4 1 5 17 27 29 24 14 7 4 5 10 23 43 64 87 105 114 108 99 94 98 114 132 145 154 158 158 156 156 156 155 152 146 141 136 122 110 109 122 132 138 136 132 128 123 116 108 102 100 100 100 96 91 89 88 92 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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