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