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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 4 3 3 2 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 5 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 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 5 5 5 5 5 7 9 10 10 9 7 5 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 5 5 5 7 12 17 16 10 7 8 9 9 9 9 9 7 4 5 7 8 6 5 6 8 7 5 3 4 5 6 6 5 5 6 7 5 3 4 5 6 4 3 4 6 8 8 6 5 5 7 7 6 5 5 5 5 6 5 3 2 4 7 7 3 -1 -3 -1 4 7 4 -1 -0 4 5 4 1 -2 -1 -0 0 1 4 11 21 27 25 18 10 6 5 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 7 9 12 13 10 6 5 5 5 5 5 6 6 7 7 6 5 3 3 4 4 5 5 5 6 6 7 5 1 -3 -4 -1 0 -0 0 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 7 8 7 7 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 6 10 17 21 21 18 13 9 7 6 5 5 3 2 1 1 1 2 4 5 6 5 5 7 9 7 4 2 1 2 3 -2 -6 -4 2 5 5 5 6 6 7 8 9 10 10 9 9 9 8 8 8 9 9 9 10 10 11 11 12 12 12 11 11 10 9 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 6 nan
nan 4 3 3 3 4 4 4 4 3 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 6 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 8 10 10 8 6 5 4 3 3 4 4 4 5 5 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 8 14 17 14 9 6 7 8 9 11 11 10 6 3 4 6 8 8 6 6 7 6 4 4 5 7 7 7 6 6 6 6 5 3 4 4 4 3 3 4 7 9 10 8 6 6 7 7 6 6 6 6 6 6 5 5 5 6 8 7 4 -1 -2 1 7 8 2 -1 2 4 4 4 3 2 2 3 3 4 8 18 26 26 20 12 7 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 7 8 10 11 8 6 5 5 5 5 6 6 7 8 8 7 6 5 4 4 4 5 5 5 5 6 6 5 2 -3 -5 -4 -1 -2 -2 -1 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 5 9 14 18 18 14 9 6 5 5 5 4 3 2 1 1 2 3 4 5 6 7 8 8 7 6 5 4 3 4 3 -1 -1 2 5 5 5 5 5 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 11 11 11 11 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 nan
nan 4 4 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 7 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 8 9 9 7 5 4 3 3 3 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 5 5 5 5 8 14 18 16 12 8 6 6 8 9 10 9 6 4 4 4 5 6 6 6 6 4 3 4 6 7 6 6 6 6 5 4 3 3 3 3 4 5 6 6 8 10 10 10 10 11 10 8 6 6 7 7 6 5 4 5 6 7 8 6 4 1 0 3 6 4 1 1 4 5 6 5 5 5 5 5 5 8 15 22 25 20 13 7 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 7 9 11 10 7 5 6 7 6 5 6 7 7 8 8 7 6 5 5 5 4 4 5 5 5 5 5 6 5 1 -3 -4 -2 0 -1 -2 1 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 2 2 1 2 3 6 10 14 12 8 5 4 4 4 3 4 3 2 2 3 4 4 5 6 7 6 5 5 6 6 4 3 3 5 4 3 4 5 5 5 5 5 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 9 8 7 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 nan
nan 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 7 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 8 8 7 5 3 3 2 3 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 5 5 5 6 7 12 18 18 14 9 6 5 5 5 6 7 6 5 4 3 3 4 5 6 5 3 3 5 6 5 4 4 4 3 2 -0 1 3 4 4 4 6 7 7 7 8 8 10 13 14 12 9 8 8 8 7 6 5 5 5 6 8 7 6 4 3 3 4 2 -0 1 4 6 6 6 6 5 5 6 6 8 13 20 23 20 13 8 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 5 5 5 6 6 5 5 5 6 6 9 11 11 6 4 6 7 6 6 6 6 7 7 7 6 6 6 5 5 5 4 5 5 5 5 5 5 5 4 1 -3 -1 3 4 2 2 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 6 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 1 -0 -1 -2 -2 -1 1 4 8 9 7 5 5 4 4 4 4 4 3 3 4 4 5 7 7 7 6 3 3 5 7 5 3 4 5 6 5 5 5 4 4 4 4 5 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 8 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 6 nan
nan 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 5 5 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 7 6 5 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 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 6 4 3 2 2 3 3 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 5 6 6 7 10 14 15 11 8 7 5 4 2 3 5 6 5 4 3 4 4 5 5 4 4 5 6 6 5 4 3 2 2 -0 -1 1 4 7 7 5 3 4 6 6 5 4 6 10 12 11 9 9 9 9 7 6 6 5 5 6 7 6 5 6 6 5 3 0 -1 3 6 6 6 6 5 5 6 6 7 11 17 21 20 14 9 6 5 4 4 4 4 3 3 3 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 6 6 6 6 5 5 5 6 7 11 12 7 4 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 3 -0 -1 2 6 6 4 3 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 4 5 6 7 6 6 5 5 5 6 6 5 5 5 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 4 4 3 3 3 4 4 4 3 3 3 2 1 -0 -2 -3 -5 -6 -7 -6 -4 -0 4 6 6 5 5 5 5 6 6 5 5 4 4 5 7 10 12 11 8 5 5 6 7 6 5 5 5 6 6 5 5 4 4 4 4 4 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 9 9 10 10 11 11 10 9 9 9 8 9 9 9 9 9 9 9 8 8 7 7 7 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 6 nan
nan 5 6 5 5 5 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 7 6 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 6 4 3 2 2 2 3 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 6 6 7 8 10 11 7 5 6 7 5 4 4 5 5 5 4 4 5 5 6 5 4 4 6 7 6 6 6 4 3 2 0 1 3 7 9 10 7 3 3 5 5 3 2 3 7 9 8 7 8 8 8 7 7 6 5 5 5 4 3 5 8 9 6 3 1 1 4 6 5 5 5 6 6 5 6 8 14 19 20 15 10 6 5 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 6 6 6 6 6 5 5 6 7 9 11 9 5 5 6 6 6 6 6 6 6 7 7 7 6 5 4 4 5 5 5 5 5 5 5 5 5 5 4 -0 -2 0 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 2 0 -2 -3 -3 -3 -4 -6 -7 -7 -5 -1 2 4 4 4 5 6 6 7 6 6 6 6 5 5 7 12 15 15 13 10 8 7 6 5 5 6 6 6 6 5 5 4 4 4 4 3 4 5 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 nan
nan 5 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 2 3 4 5 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 6 7 8 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 3 2 2 2 2 3 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 6 6 6 7 9 10 7 5 6 8 8 7 6 5 4 3 3 4 5 5 5 5 5 6 7 7 6 5 5 5 3 3 3 4 5 5 6 8 8 6 5 6 5 3 1 3 6 8 8 6 5 5 5 6 7 6 4 4 3 2 2 5 8 9 6 3 3 4 5 5 3 4 6 7 6 5 5 9 15 19 17 11 7 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 6 9 11 10 6 5 5 6 6 7 7 6 7 7 7 6 5 5 4 4 5 5 4 5 5 5 5 5 5 6 5 2 -2 -3 -0 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 5 6 6 6 6 5 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 -0 -3 -4 -3 -1 0 -1 -2 -1 -0 1 3 4 3 3 4 5 6 6 6 7 7 8 6 2 3 8 12 13 12 10 7 6 5 5 5 6 6 6 6 5 5 4 3 2 2 2 2 3 4 5 6 6 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 nan
nan 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 1 1 2 3 4 5 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 5 6 7 8 8 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 4 2 2 2 2 3 3 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 6 6 6 7 9 11 11 9 8 8 8 8 7 5 3 2 2 4 5 5 5 5 6 8 8 7 5 5 4 4 4 5 6 6 4 2 0 3 7 6 3 5 5 2 1 4 7 9 8 6 4 3 3 5 6 6 4 3 3 3 3 5 6 6 5 4 5 7 7 5 3 3 6 8 7 5 6 11 17 18 14 9 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 6 6 7 6 6 5 5 5 6 8 11 12 10 7 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 1 -1 -1 2 4 4 4 4 4 4 4 4 4 5 5 6 5 5 4 4 3 2 2 3 3 4 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 0 -1 -0 2 4 3 3 4 4 4 5 5 3 3 3 4 5 5 6 7 9 12 9 3 -1 2 6 8 7 7 5 5 5 5 5 6 6 6 6 6 6 6 4 1 0 0 -0 0 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 11 12 11 11 11 10 10 10 10 9 9 9 8 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 2 1 0 1 2 3 4 5 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 5 6 7 8 9 8 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 3 2 1 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 9 11 13 11 8 7 6 7 7 5 3 3 4 6 6 6 5 6 9 10 10 8 6 5 5 4 4 7 10 9 5 2 1 5 8 4 -0 3 5 2 1 4 8 10 9 7 5 2 2 3 5 6 4 3 5 6 6 5 4 3 3 5 7 8 8 6 4 4 6 7 6 5 8 15 19 16 11 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 5 5 5 5 6 6 7 7 6 5 5 4 5 8 11 14 14 12 9 8 7 7 7 7 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 2 1 3 4 4 4 4 3 3 3 3 4 4 5 6 6 5 5 4 4 3 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 5 6 6 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 4 3 4 5 5 4 5 5 4 4 4 3 2 2 3 5 6 5 6 10 14 14 8 2 1 4 6 6 5 5 5 5 5 5 6 6 6 6 6 7 8 8 6 4 3 1 -1 0 3 4 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 6 6 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 2 1 0 1 2 3 4 5 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 5 6 7 8 8 8 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 9 11 11 9 6 4 5 6 6 5 4 6 7 8 8 7 5 7 10 11 11 10 8 7 5 5 5 9 13 12 8 5 6 8 9 4 1 3 4 2 1 3 7 9 9 7 4 2 1 3 5 5 5 5 7 7 6 5 3 1 2 5 7 8 8 6 5 4 5 6 5 5 10 17 18 14 9 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 6 6 7 7 6 5 4 4 5 7 10 13 15 15 14 12 11 10 9 8 7 7 6 6 6 6 6 6 5 4 4 5 5 4 4 4 4 5 5 5 6 6 5 4 4 4 3 3 3 2 2 2 3 4 5 5 6 6 6 5 5 4 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 6 6 5 4 3 2 2 2 3 5 6 6 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 2 2 3 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 6 8 9 8 5 6 11 15 13 8 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 8 11 12 11 9 6 1 -0 2 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 4 4 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 1 0 0 1 2 3 4 5 6 6 6 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 5 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 3 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 9 10 9 5 1 2 4 4 4 5 6 7 8 9 8 6 4 6 9 11 10 10 9 7 5 4 5 10 14 13 8 6 7 10 10 6 3 3 3 2 2 3 6 8 8 6 4 2 2 5 6 5 5 7 7 7 6 5 3 2 2 5 7 8 8 7 5 4 4 4 3 5 12 17 16 11 8 7 6 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 5 4 4 4 5 6 6 7 7 6 5 4 4 4 6 8 10 13 15 16 15 15 14 13 12 11 10 9 8 8 7 6 5 4 4 4 4 4 4 4 5 5 6 6 6 7 8 7 5 4 4 3 3 2 2 2 2 2 3 4 5 6 6 6 6 6 5 4 3 3 3 3 4 4 4 4 4 4 3 2 2 1 2 3 6 8 8 8 8 8 7 6 4 2 1 1 2 4 5 5 5 5 4 5 5 5 5 4 4 4 4 3 3 3 3 3 2 2 2 4 5 6 6 5 5 5 5 5 4 4 4 5 5 6 8 10 12 14 14 12 7 5 7 9 11 10 8 8 7 6 6 6 5 5 5 5 5 6 6 6 6 6 7 9 10 11 11 10 6 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 8 7 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 4 4 4 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 2 1 1 1 1 2 3 4 5 5 6 6 6 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 5 4 3 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 10 10 8 3 -1 0 3 3 4 5 5 5 7 9 7 6 4 6 8 8 6 6 7 7 7 5 5 8 12 11 7 5 7 10 10 8 5 3 2 3 4 5 6 7 7 5 3 2 3 6 6 3 3 5 6 6 5 5 5 4 3 5 7 8 8 7 5 4 3 2 2 5 13 17 13 9 7 6 6 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 4 4 4 4 5 5 6 6 6 6 5 4 4 4 5 7 8 10 12 14 15 15 14 14 13 12 12 12 11 10 8 7 6 5 5 5 5 5 7 8 9 9 10 9 8 8 9 8 5 4 4 3 3 2 2 2 2 2 3 4 5 6 7 7 7 7 6 5 4 4 4 4 5 5 4 4 4 4 4 3 -0 -3 -4 -2 2 6 8 8 9 9 9 9 7 4 2 1 2 3 4 5 4 4 4 4 4 4 4 3 3 2 2 1 -1 -1 -1 -1 -1 -0 1 4 6 6 5 5 5 5 5 4 4 4 5 6 8 10 13 14 14 14 13 12 8 6 6 7 8 9 9 9 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 7 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 10 10 11 11 11 11 11 10 10 10 11 10 10 9 8 7 6 6 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 nan
nan 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 1 1 2 2 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 7 7 6 5 4 4 3 3 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 10 11 10 6 2 2 3 3 4 4 3 4 7 8 6 6 6 7 6 4 2 2 2 6 9 8 6 6 9 10 7 5 6 8 9 8 6 3 2 4 5 6 6 6 5 4 2 1 2 5 4 3 2 3 4 5 5 4 5 4 4 5 7 8 8 8 6 5 4 2 3 7 15 16 11 7 6 6 6 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 5 4 4 4 4 4 4 5 6 6 6 6 5 4 4 4 5 6 7 8 9 10 12 12 12 12 11 11 11 11 11 10 9 9 9 10 10 9 9 11 12 13 13 15 15 13 11 10 9 7 5 4 4 4 3 3 3 3 3 4 4 5 5 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 7 6 1 -3 -6 -3 2 6 7 7 8 9 9 8 6 4 3 3 4 4 4 4 4 4 4 3 2 1 -0 -1 -2 -2 -4 -6 -7 -7 -7 -6 -4 -0 4 5 5 5 5 5 5 5 5 6 7 8 8 9 11 13 13 10 8 8 8 7 6 6 7 8 9 9 9 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 7 7 8 8 8 9 10 10 11 11 11 11 11 11 10 11 11 10 9 8 8 7 6 6 5 5 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 nan
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nan 13 14 16 17 17 16 15 13 13 12 12 12 12 12 11 9 8 7 7 8 10 11 12 12 12 12 11 11 10 11 12 14 14 14 13 11 9 8 8 8 10 10 11 12 12 12 13 12 12 11 11 11 11 11 12 12 12 12 12 11 12 12 13 14 15 15 16 17 17 17 16 16 16 17 16 16 15 13 12 12 11 10 9 8 8 9 10 12 14 15 17 18 18 16 15 13 12 12 12 13 13 14 14 14 14 14 14 15 14 14 14 13 12 11 11 12 12 12 13 13 13 13 13 13 13 12 12 11 11 11 12 13 13 14 15 16 16 16 16 15 15 15 15 14 14 13 13 12 12 12 12 14 15 15 16 15 14 14 13 12 12 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 9 8 6 5 6 7 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 13 14 15 17 18 19 19 18 15 12 8 5 2 1 3 6 11 14 14 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 11 10 7 5 2 2 2 3 5 7 8 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 14 17 21 26 31 35 39 40 39 36 31 25 20 15 13 11 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 13 14 13 13 13 12 12 11 10 10 9 10 10 12 14 15 16 15 13 11 9 8 8 10 11 11 12 12 12 11 12 12 12 12 12 12 12 13 14 15 16 17 17 16 14 13 12 11 11 11 11 11 12 12 12 12 11 11 11 12 13 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 14 14 14 15 15 15 15 14 14 13 12 12 12 12 12 12 13 13 14 14 15 16 15 14 14 13 13 13 13 13 13 12 12 13 13 14 14 15 15 15 15 14 14 14 14 14 14 14 13 13 12 11 11 10 10 10 10 11 12 12 13 nan
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nan 14 13 12 11 9 10 10 11 12 12 12 13 12 11 10 9 9 10 10 11 11 11 13 14 16 17 16 16 15 13 12 11 11 10 9 9 8 8 7 7 8 9 9 10 11 10 10 9 10 10 11 11 10 10 9 7 6 6 7 8 9 11 12 13 14 14 15 15 15 15 14 13 12 12 11 10 10 9 9 10 10 11 11 12 12 11 11 11 11 12 13 14 14 14 13 12 11 10 10 10 10 10 11 12 13 14 15 15 15 15 15 14 13 13 13 13 14 14 13 13 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 11 11 13 14 14 15 15 15 14 13 12 12 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 12 12 12 11 11 11 11 11 10 9 7 5 5 7 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 12 13 14 14 14 12 11 10 9 9 10 11 13 14 14 15 14 14 14 14 13 12 12 12 12 13 13 14 14 14 14 14 13 13 13 13 14 14 14 15 15 14 14 13 13 12 12 11 11 12 12 13 14 14 14 15 15 15 14 14 13 13 13 14 15 15 15 13 11 9 7 5 3 3 2 1 1 1 1 2 4 5 7 9 10 10 11 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 13 15 20 26 31 36 40 41 40 37 31 25 18 14 11 9 8 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 13 13 12 12 13 13 13 13 12 11 11 10 10 9 9 10 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 16 16 17 17 16 15 14 14 14 14 14 14 14 13 13 12 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 13 13 13 13 14 14 14 13 13 nan
nan 14 13 11 10 10 10 11 12 14 14 13 12 11 9 7 7 7 8 10 11 11 12 13 14 15 16 16 15 14 13 12 11 10 9 9 9 9 9 8 8 8 9 10 10 11 11 11 10 9 9 9 8 8 8 8 7 7 7 8 9 10 11 12 13 13 14 14 15 15 15 14 13 12 11 10 9 9 9 10 10 11 11 12 12 12 11 11 10 10 11 12 14 14 14 14 12 12 11 11 11 11 12 12 13 13 13 13 14 14 14 14 14 14 14 15 15 15 14 14 13 12 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 12 14 15 15 15 15 14 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 11 12 12 12 12 13 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 10 7 3 -0 -4 -4 -0 4 8 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 12 13 14 15 16 15 14 12 11 10 10 10 10 12 13 14 15 16 16 16 15 14 13 11 10 9 9 9 10 10 11 12 12 12 12 12 13 13 13 14 14 15 15 15 15 14 14 13 12 10 9 8 9 10 11 13 13 14 14 14 14 14 14 13 14 14 14 13 11 8 5 2 0 -1 -1 -1 0 1 3 4 6 7 9 11 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 12 15 19 24 30 35 40 42 40 38 32 27 20 15 12 10 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 13 13 13 13 13 13 14 14 14 14 15 16 15 14 13 12 12 13 13 13 13 12 12 10 9 9 9 8 9 9 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 14 15 16 16 15 14 13 13 13 14 15 15 14 14 13 12 12 11 12 12 12 12 12 13 13 14 14 14 14 14 14 13 13 13 13 14 14 14 14 14 14 13 nan
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CAPE
6 5 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 7 7 6 6 8 9 11 11 11 12 14 22 33 54 77 94 101 102 110 129 156 189 244 327 419 524 630 725 773 797 807 818 819 791 763 743 721 696 666 635 574 458 308 183 85 35 19 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 4 11 9 6 1 0 0 0 0 0 0 0 0 0 0 0 1 7 15 25 43 63 82 106 144 176 193 242 348 452 506 555 635 688 735 794 871 950 1012 1050 1074 1088 1110 1144 1198 1213 1243 1282 1271 1225 1179 1114 1002 847 698 596 534 498 474 458 445 428 413 410 400 382 370 363 357 359 370 388 418 427 450 443 542 428 425 475 530 550 551 585 632 682 783 969 1216 1529 1495 1204 1142 1267 1338 1311 1353 1674 2268 2797 2980 2729 2793 2744 2469 2494 2390 2281 1925 1793 2071 1978 1449 1120 1030 792 475 209 119 82 56 21 28 13 1 9 51 206 549 764 600 325 144 46 17 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 21 72 129 123 77 37 14 9 67 321 677 937 1094 1146 1132 1155 1164 1112 1079 1081 1054 1048 1050 1062 1119 1061 1086 1173 1197 1216 1061 781 820 643 541 443 355 278 231 235 215 166 130 114 89 61 40 27 20 14 10 8 12 26 44 82 154 221 265 257 226 179 123 2 0 0 0 0 0 0 0 0 0 13 277 570 690 666 662 681 644 606 565 623 740 864 959 1054 1192 1292 1162 884 708 705 743 676 620 642 569 463 430 396 376 397 452 611 877 1258 1674 2063 2363 2411 2253 1964 1661 1404 1143 966 936 943 909 888 885 881 885 878 863 846 816 779 763 771 786 791 771 758 797 869 942 994 1018 1026 1285 1370 1403 1405 1425 1452 1451 1494 1517 1569 1578 1605 1598 1540 1435 1265 999 717 518 436 428 421 410 413 393 351 326 313 289 254 211 159 134 128 49 1 0 15 9 4 4 1 0 0 4 18 26 34 21 20 24 8 5 9 9 11 7 30 81 87 116 163 200 313 393 513 622 772 979 1215 1441 1617 1715 1799 1815 1867 1934 1850 1759 1701 1625 1587 1557 1505 1446 1379 1299 1224 1185 1182 1164 1151 1158 1130 1080 1047 1075 1134 1190 1203 1180 1193 1250 1360 1484 1570 1617 1654 1675 1671 1629 1586 1540 1475 1408 1370 1266 1143 1040 962 911 867 840 832 821 819 855 921 994 1069 1155 1263 1399 1562 1699 1769 1814 1859 1881 1894 1882 1884 1900 1917 1949 2009 1997
5 5 6 6 7 7 8 7 7 7 6 6 6 5 5 4 4 4 4 5 5 5 5 6 8 9 10 10 10 11 12 16 28 44 62 77 87 93 99 110 134 174 234 320 416 522 636 707 746 766 781 775 751 726 713 711 717 716 708 677 589 435 268 141 69 35 22 17 11 7 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 2 7 11 9 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 17 30 43 58 79 118 180 231 247 282 393 491 521 583 649 683 736 800 882 959 1021 1057 1064 1076 1113 1139 1140 1192 1249 1245 1198 1141 1055 922 760 622 534 478 442 421 410 398 382 372 375 378 367 349 341 335 333 338 357 390 409 423 428 451 397 382 423 467 517 520 558 605 658 774 989 1291 1362 1140 1030 1132 1189 1194 1252 1435 1823 2229 2428 2508 2549 2689 2643 2230 2161 2063 1970 1393 1289 1649 1625 1307 1031 822 596 357 151 52 23 30 25 14 4 0 0 4 33 183 439 487 316 115 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 2 15 38 50 38 25 18 21 79 287 595 866 1053 1172 1190 1153 1168 1167 1116 1067 1046 1039 1045 1063 1134 1212 1144 1143 1155 1116 1041 808 641 670 517 469 404 334 253 200 189 176 141 95 71 52 32 17 9 5 3 2 1 2 7 18 48 109 181 236 245 225 186 147 27 1 1 1 1 1 0 0 0 0 23 238 511 644 633 631 637 526 432 375 368 474 692 875 986 1098 1230 1179 922 722 639 673 645 536 534 512 396 348 300 264 248 276 370 545 848 1245 1665 2067 2233 2221 2028 1777 1519 1268 1027 891 897 890 871 858 849 848 840 822 801 780 758 746 751 756 762 741 756 766 860 954 961 963 1010 1156 1249 1263 1265 1265 1288 1264 1277 1283 1304 1318 1320 1317 1265 1161 983 719 486 363 310 291 277 264 254 245 237 236 232 224 212 185 142 124 141 107 64 29 9 2 0 0 0 0 0 0 0 2 5 3 0 0 0 0 0 0 1 1 0 5 31 48 57 44 136 257 401 505 625 808 1035 1287 1485 1600 1673 1725 1742 1738 1750 1710 1619 1570 1587 1562 1526 1483 1399 1291 1220 1193 1173 1164 1162 1196 1206 1188 1162 1147 1149 1147 1132 1122 1137 1172 1243 1350 1441 1525 1581 1623 1662 1637 1589 1535 1491 1427 1377 1254 1103 987 933 897 856 830 820 811 815 853 914 993 1066 1153 1227 1318 1453 1632 1729 1743 1759 1797 1844 1847 1829 1808 1801 1826 1855 1719
4 4 5 6 7 7 7 7 7 6 5 4 5 3 3 3 3 3 3 3 3 3 4 5 6 8 9 9 10 10 11 12 16 24 37 53 69 82 90 94 101 119 156 215 295 382 481 577 642 683 708 716 700 669 637 636 671 706 734 742 694 574 400 239 128 67 38 24 18 14 10 9 9 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 30 50 65 79 121 194 277 305 340 428 480 532 585 619 677 736 820 893 965 1014 1031 1070 1182 1291 1269 1289 1269 1219 1151 1077 975 826 667 547 477 433 406 389 377 368 357 351 354 364 367 357 345 332 325 332 357 393 416 425 445 432 491 374 381 427 473 502 569 628 668 785 992 1291 1396 1108 1015 1136 1147 1095 1121 1308 1608 1767 1578 1490 1794 2069 2211 1949 1833 1807 1452 826 711 915 996 893 751 610 403 197 68 19 9 23 14 4 0 0 0 0 1 23 220 501 427 134 0 0 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 11 20 26 29 47 112 308 571 809 999 1130 1210 1198 1144 1162 1163 1136 1105 1083 1088 1088 1119 1203 1247 1205 1176 1089 981 870 713 640 532 444 426 379 313 237 181 149 131 108 66 37 23 12 5 1 1 0 0 0 0 1 7 24 65 137 210 248 245 215 169 58 10 10 7 13 20 13 9 6 11 57 233 468 590 598 592 561 438 341 294 305 355 463 653 832 951 1096 1105 883 721 593 572 570 480 422 416 355 299 255 220 199 197 235 325 518 821 1195 1659 2027 2157 2059 1886 1653 1377 1119 933 883 888 872 838 825 832 823 801 781 772 749 728 729 707 703 687 723 727 800 852 845 839 850 953 1019 1073 1104 1103 1107 1097 1094 1080 1077 1078 1062 1030 965 869 723 512 341 259 222 206 192 177 160 158 161 159 158 166 170 150 120 97 95 118 265 172 80 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 2 4 13 26 54 94 186 310 400 492 641 847 1087 1323 1513 1639 1703 1710 1714 1694 1663 1651 1652 1621 1591 1570 1525 1438 1324 1253 1237 1228 1222 1225 1241 1259 1230 1164 1114 1093 1089 1088 1094 1112 1132 1166 1230 1290 1361 1426 1528 1610 1634 1583 1502 1463 1412 1361 1274 1116 980 917 883 857 839 825 817 820 835 880 976 1060 1149 1214 1254 1315 1465 1596 1697 1717 1732 1780 1805 1778 1740 1725 1737 1750 1651
3 3 3 4 5 5 5 5 5 4 4 4 3 2 1 1 2 2 1 1 2 2 2 3 4 6 7 8 8 10 12 13 14 17 23 33 47 63 79 88 88 92 112 143 183 238 323 419 500 567 607 627 627 600 568 559 592 633 686 736 737 657 514 345 200 108 61 36 25 21 20 17 14 13 12 12 10 7 6 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 15 38 57 85 122 218 311 338 404 450 481 506 543 603 677 748 820 901 966 1043 1151 1281 1395 1383 1397 1303 1176 1086 997 879 720 573 476 425 398 379 366 356 352 348 342 338 348 368 384 383 373 364 363 376 401 417 421 427 418 401 373 355 385 428 480 550 614 634 723 945 1135 1006 898 905 1003 994 885 769 803 960 1112 1021 948 1095 1243 1424 1412 1315 1245 967 573 361 319 326 349 315 274 164 59 11 2 0 0 0 0 0 0 0 0 0 1 71 394 350 88 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 8 10 10 18 31 51 127 364 657 803 909 1044 1154 1207 1159 1100 1122 1134 1137 1125 1119 1149 1153 1175 1243 1253 1192 1096 951 808 701 627 538 427 388 400 340 251 190 148 114 92 71 42 18 7 2 1 0 0 0 0 0 0 0 1 11 46 112 186 251 275 256 180 53 48 41 30 49 72 53 37 30 43 100 241 414 517 530 491 434 358 294 272 283 309 344 379 546 791 884 886 795 653 520 476 456 416 371 314 276 262 219 197 171 158 170 209 312 516 799 1206 1643 1949 2046 1932 1716 1472 1214 994 888 889 892 830 789 808 801 772 764 751 714 696 695 685 667 650 689 729 742 788 767 739 751 812 856 895 923 936 924 911 929 914 875 851 819 775 708 626 512 356 240 196 184 168 136 123 110 106 106 108 97 114 116 113 93 84 84 87 197 260 191 66 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 10 42 93 134 185 259 323 395 503 664 887 1157 1407 1580 1683 1714 1740 1712 1667 1663 1672 1669 1676 1658 1616 1541 1460 1388 1361 1367 1360 1341 1325 1301 1246 1174 1112 1087 1079 1094 1120 1145 1161 1165 1177 1191 1239 1320 1440 1549 1606 1583 1517 1450 1375 1314 1260 1109 951 878 854 840 829 838 844 849 847 873 959 1045 1117 1159 1189 1221 1292 1385 1523 1657 1712 1759 1757 1744 1707 1686 1683 1689 1646
2 2 3 4 4 4 4 4 3 3 2 2 2 2 1 0 0 1 1 1 1 1 1 2 2 4 5 5 6 7 9 11 14 16 19 23 29 42 61 77 88 97 101 109 123 155 218 290 362 441 504 539 546 522 491 477 481 519 582 650 711 670 560 403 260 147 91 57 41 34 29 26 24 22 21 19 16 12 11 10 9 8 6 1 0 0 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 4 25 56 72 105 161 274 315 348 419 426 431 473 534 614 685 763 846 934 1071 1202 1254 1267 1272 1301 1247 1113 1013 902 771 620 495 420 394 383 368 360 352 349 343 336 324 329 350 376 392 394 389 384 388 398 406 410 415 421 410 435 360 351 384 431 483 537 588 639 857 1169 1215 938 747 757 656 508 367 351 485 705 821 737 587 547 583 558 493 445 374 249 150 92 45 34 32 33 18 5 0 0 0 0 0 0 0 0 0 0 0 0 4 118 101 20 0 0 0 0 0 0 0 0 0 0 0 3 8 13 20 19 5 1 2 0 0 0 0 0 1 4 16 22 24 33 55 163 388 721 942 964 988 1097 1187 1189 1119 1065 1063 1075 1098 1098 1114 1180 1201 1218 1288 1258 1161 1014 825 681 571 542 471 341 331 362 294 174 126 102 74 55 41 24 8 1 0 0 0 0 0 0 0 0 0 0 2 17 64 151 258 330 338 243 34 102 70 73 107 127 94 73 67 84 139 255 379 447 447 419 376 332 298 265 256 277 294 302 399 625 768 800 810 694 442 377 347 348 326 279 232 211 200 197 178 156 152 172 234 367 556 835 1217 1619 1875 1892 1743 1542 1311 1068 891 859 913 874 805 791 771 737 737 721 703 689 669 654 640 630 668 738 839 851 728 672 712 751 788 810 827 820 806 801 803 776 707 660 610 563 503 432 344 248 172 154 151 129 90 85 80 63 48 29 29 48 57 75 88 97 98 110 163 243 232 92 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 20 56 98 127 158 212 272 340 425 539 720 1001 1268 1468 1608 1692 1735 1645 1620 1641 1650 1665 1683 1691 1694 1655 1608 1565 1537 1531 1529 1490 1444 1389 1337 1299 1248 1211 1177 1163 1198 1235 1243 1219 1209 1211 1229 1281 1392 1466 1470 1504 1537 1478 1387 1281 1192 1025 891 832 822 828 838 845 862 872 879 900 952 1026 1094 1131 1160 1192 1222 1263 1365 1554 1712 1808 1699 1720 1689 1663 1641 1623 1605
1 1 2 3 3 3 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 4 4 6 6 6 8 10 13 15 18 23 30 42 59 82 96 103 100 97 109 138 197 255 327 403 453 477 463 428 399 386 407 461 538 631 643 572 439 309 196 136 102 77 64 53 44 35 37 38 34 27 21 18 19 20 16 12 6 4 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 51 89 105 117 135 210 338 333 378 362 370 415 471 555 642 749 861 929 1026 1124 1175 1205 1232 1250 1193 1070 954 819 681 544 440 388 381 386 379 374 363 357 353 339 334 330 330 346 366 379 382 381 382 383 386 389 396 403 387 377 365 366 375 406 451 504 565 588 765 1181 1527 1364 893 619 342 211 169 163 319 493 468 339 238 191 148 85 69 80 84 65 44 23 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 1 7 19 32 42 25 2 5 8 0 0 0 0 1 4 12 29 39 42 53 126 439 788 991 1058 1080 1091 1172 1229 1178 1101 1049 1029 1036 1055 1055 1075 1147 1203 1254 1342 1282 1148 1004 799 662 543 523 485 369 304 315 260 139 97 72 43 30 22 12 3 0 0 0 0 0 0 0 0 0 0 0 0 8 54 147 278 405 450 380 84 137 99 130 161 164 127 106 99 116 168 269 365 412 424 430 413 389 356 299 268 270 262 257 302 469 660 718 770 639 405 324 322 307 252 238 224 206 193 186 180 170 159 168 212 298 414 589 868 1218 1539 1725 1730 1590 1385 1142 895 795 879 921 883 839 795 740 713 690 671 657 654 627 620 611 636 684 731 723 665 644 672 716 788 840 843 826 819 800 732 667 582 506 443 389 334 282 214 157 121 119 100 71 52 41 23 10 8 4 8 36 75 113 158 212 243 237 244 265 222 67 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 28 52 71 84 100 135 181 233 287 358 455 602 839 1107 1335 1507 1623 1692 1673 1639 1630 1633 1631 1645 1674 1695 1704 1704 1705 1697 1659 1690 1655 1620 1593 1563 1520 1502 1498 1450 1402 1400 1406 1359 1268 1206 1215 1244 1280 1364 1419 1356 1341 1509 1482 1392 1238 1085 925 845 811 793 802 831 843 867 896 908 919 957 1020 1092 1148 1182 1207 1220 1249 1335 1471 1705 1824 1766 1729 1684 1643 1606 1572 1546
1 1 1 2 2 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 6 6 8 9 12 14 18 21 28 42 63 89 103 102 95 92 101 132 171 220 292 362 414 424 409 386 371 371 390 464 552 577 561 470 352 265 194 147 104 102 92 86 77 71 68 62 51 41 36 34 32 28 21 13 9 9 11 1 2 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 53 92 114 131 190 266 267 322 303 312 358 428 525 644 766 859 907 967 1037 1117 1191 1236 1243 1180 1060 925 774 629 501 409 370 371 379 378 383 376 374 376 365 382 395 341 343 363 376 381 378 375 371 369 371 374 379 381 385 394 387 379 404 446 491 533 550 678 1007 1620 1946 1502 653 313 172 122 78 158 266 220 127 83 84 107 112 88 65 50 33 19 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 17 22 6 0 0 1 0 0 1 4 9 20 28 51 61 66 105 351 818 1098 1154 1197 1270 1261 1256 1251 1174 1084 1037 1024 1026 1031 1031 1042 1095 1181 1246 1363 1333 1187 1056 863 725 612 558 511 417 293 255 212 137 95 58 27 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 1 13 58 150 295 484 577 518 233 172 187 198 206 189 153 132 119 130 177 263 347 402 443 487 518 522 458 334 274 279 234 230 260 407 565 602 584 450 357 291 306 284 238 219 203 182 174 174 171 162 157 166 195 240 300 389 557 819 1140 1447 1612 1580 1438 1221 957 770 783 882 911 895 871 822 790 752 721 677 671 641 616 605 609 632 684 716 675 632 667 736 814 869 871 851 819 761 678 578 488 400 326 275 240 206 164 127 104 89 59 47 24 9 2 0 0 1 25 82 142 180 197 208 273 295 263 211 116 21 0 0 0 0 0 0 0 0 0 0 0 1 8 13 8 9 8 2 22 45 64 78 77 79 93 120 151 194 239 294 370 491 679 934 1176 1370 1517 1614 1643 1618 1617 1636 1632 1641 1661 1683 1706 1728 1745 1759 1766 1798 1788 1786 1770 1762 1745 1776 1828 1813 1774 1730 1643 1519 1314 1107 1068 1142 1183 1229 1297 1220 1120 1327 1353 1227 1073 979 884 836 812 783 783 813 831 859 900 928 936 968 1019 1082 1160 1194 1230 1253 1290 1383 1498 1708 1806 1797 1762 1706 1636 1589 1556 1539
0 0 1 1 1 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 7 7 9 11 13 16 21 29 41 66 83 89 91 91 95 100 110 138 193 257 321 358 374 369 353 350 360 435 497 531 540 485 395 318 245 182 135 131 126 131 123 115 107 99 86 73 60 50 44 39 33 27 25 25 19 7 6 7 2 1 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 2 19 52 84 120 169 215 225 271 266 254 301 370 466 588 655 720 790 874 960 1037 1101 1151 1190 1160 1060 922 767 621 495 408 369 361 368 375 378 377 389 403 406 421 482 351 340 358 368 372 368 361 353 348 347 350 358 369 366 355 352 358 383 422 463 498 518 612 846 1298 1830 1711 728 294 185 114 69 142 184 116 49 35 66 151 196 145 80 50 32 15 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 1 1 0 0 0 0 0 0 3 16 18 28 30 87 106 134 244 621 1128 1347 1350 1400 1471 1417 1335 1270 1169 1066 1012 1001 1009 1024 1042 1074 1127 1182 1223 1343 1367 1241 1111 947 797 680 578 494 390 265 193 154 115 79 44 19 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 48 145 308 559 742 696 415 220 239 242 246 215 178 164 137 137 172 233 302 375 449 517 560 577 568 520 471 387 266 280 308 480 508 538 535 427 282 229 230 209 211 205 186 179 172 157 143 142 146 151 159 178 214 271 362 521 774 1072 1361 1520 1467 1290 1062 819 688 772 847 855 883 903 896 862 811 768 722 670 622 591 576 582 635 672 660 649 672 740 824 879 878 825 741 645 564 480 408 332 273 237 206 170 143 108 84 64 31 27 10 1 0 0 1 16 68 130 144 104 60 41 51 14 85 66 14 0 0 0 0 0 0 0 0 0 0 0 1 14 47 62 50 54 57 58 73 75 79 77 76 78 83 107 133 167 202 237 292 391 556 774 999 1199 1373 1515 1589 1608 1605 1632 1643 1643 1654 1676 1699 1725 1751 1781 1805 1823 1846 1868 1876 1884 1898 1943 2016 2024 1982 1933 1831 1687 1423 1132 1002 989 1023 1029 1033 976 976 1083 1115 1040 968 939 915 895 877 833 809 823 824 825 854 900 915 949 999 1048 1121 1172 1224 1293 1373 1490 1613 1712 1775 1795 1777 1743 1651 1603 1554 1528
0 0 1 0 1 1 2 2 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 7 8 9 12 14 22 31 45 53 65 76 85 89 86 84 93 121 176 241 281 311 349 381 355 363 429 463 504 527 514 455 370 277 202 169 166 165 172 163 170 155 142 127 117 105 85 72 62 53 45 43 38 29 17 12 11 7 6 8 7 4 3 1 0 0 0 0 0 0 0 0 0 0 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 12 41 72 104 145 177 186 215 213 195 229 290 358 421 483 577 686 795 889 963 1035 1094 1135 1108 1038 931 786 640 515 426 379 361 355 359 364 370 383 400 410 409 435 338 326 347 356 363 356 346 334 326 321 321 326 332 343 353 355 357 368 394 432 468 496 563 742 1095 1559 1600 901 341 210 142 69 123 126 82 83 77 113 198 202 123 61 36 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 1 1 0 0 0 0 0 0 0 0 1 7 26 38 35 13 123 158 199 370 1046 1339 1503 1565 1598 1607 1516 1396 1285 1165 1055 990 981 1002 1030 1070 1128 1186 1214 1235 1299 1327 1257 1148 980 812 677 545 438 330 220 151 129 109 66 31 13 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 38 138 310 608 933 931 625 301 297 302 308 266 234 212 171 162 185 216 278 364 441 509 553 566 574 554 517 473 373 352 382 424 439 455 479 389 247 177 177 159 167 183 177 155 156 150 144 143 141 137 131 136 160 196 244 349 539 749 975 1211 1340 1295 1162 939 679 678 737 756 797 847 881 876 842 793 742 686 628 572 534 516 513 513 553 635 680 726 814 878 869 751 626 519 445 376 327 288 259 225 180 140 116 80 64 41 20 7 2 2 1 1 13 61 110 101 61 18 0 1 2 0 0 2 10 2 1 0 0 0 0 1 3 5 5 8 19 54 109 137 99 81 78 76 78 81 81 81 81 80 82 97 119 144 171 204 250 398 566 699 906 1029 1190 1363 1465 1525 1556 1601 1639 1648 1654 1669 1693 1719 1743 1770 1798 1830 1864 1897 1928 1966 2001 2050 2107 2110 2044 1944 1836 1762 1568 1312 1160 1045 1029 993 931 901 892 919 940 940 936 959 984 980 974 940 905 864 848 806 830 851 869 909 957 998 1037 1087 1160 1248 1369 1548 1713 1768 1765 1763 1739 1705 1664 1630 1559 1516
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102 105 111 114 121 127 135 142 149 152 143 127 120 110 117 124 135 145 161 181 198 216 239 248 235 209 181 167 181 214 259 309 356 375 350 291 223 162 133 124 123 122 119 114 105 96 89 82 76 67 57 49 43 34 33 39 44 48 47 46 44 44 45 48 51 52 52 53 54 54 56 58 61 63 63 63 61 58 53 47 39 33 29 28 26 24 22 21 19 17 17 16 13 10 9 8 6 6 6 5 3 3 3 4 4 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 3 0 0 0 0 0 0 0 0 0 0 0 20 143 515 1058 1199 1115 1057 938 792 831 952 961 939 963 1092 1144 1111 957 731 306 54 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 1 13 66 249 658 1155 1311 742 181 23 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 4 14 29 44 48 49 40 36 36 35 30 26 28 36 50 82 141 210 263 306 348 385 404 404 404 417 444 482 527 585 655 730 814 1047 1325 1393 1398 1398 1400 1392 1357 1281 1163 1045 941 814 734 672 631 595 567 545 523 495 448 371 320 316 311 265 185 114 76 55 40 33 31 30 27 24 24 23 46 57 69 78 90 136 209 269 319 400 513 629 631 478 323 190 114 85 77 71 63 55 49 47 45 45 44 43 40 35 28 20 15 14 13 12 13 14 15 15 11 5 2 1 0 1 1 1 1 1 1 1 1 2 2 2 3 6 9 12 10 5 4 4 5 5 5 6 7 7 8 9 10 11 13 11 11 7 3 1 0 0 0 0 0 0 0 1 5 6 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 4 9 8 4 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 1 1 1 1 2 3 3 3 4 3 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 4 4 4 5 7 8 8 10 12 13 11 9 7 6 6 6 5 7 7 6 5 4 4 3 3 3 3 2 2 3 3
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96 97 100 107 114 114 111 111 118 138 155 164 169 182 198 210 220 219 201 212 207 197 192 203 226 241 231 196 152 128 144 182 230 269 312 345 338 278 219 181 156 141 132 126 121 116 110 97 81 72 67 63 60 54 49 50 52 52 49 44 43 44 43 44 46 47 50 55 58 61 65 66 68 69 69 71 71 70 65 61 58 53 47 39 34 30 27 24 23 20 17 16 15 12 10 9 8 7 6 6 5 3 3 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 7 10 11 11 7 2 0 0 0 0 0 0 0 0 3 32 120 253 440 604 749 857 944 980 845 941 973 914 955 1129 1181 879 367 138 36 9 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 33 141 292 259 110 22 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 1 11 35 52 39 22 19 21 21 20 21 23 24 29 56 113 183 240 286 335 373 393 400 408 429 464 508 571 653 738 829 929 1057 1261 1445 1490 1496 1501 1502 1486 1418 1295 1172 1039 889 783 718 665 614 564 515 474 440 399 341 280 246 238 234 154 90 60 43 34 31 29 27 23 21 21 22 35 58 75 87 96 138 266 417 467 476 454 439 415 360 309 248 173 111 79 68 62 56 49 42 41 40 36 35 32 26 18 14 12 10 8 6 6 8 8 8 5 2 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 2 4 8 11 9 4 5 5 6 6 6 6 7 9 11 12 13 13 12 10 6 5 3 1 0 0 0 0 0 1 5 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 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 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 2 2 2 2 2 2 2 1 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 2 2 2 3 2 3 3 3 4 3 3 2 2 2 2 2 4 5 6 7 6 5 4 4 3 3 2 3 4 5 4
91 91 101 102 103 107 107 106 106 106 114 129 144 167 190 205 206 197 191 192 176 157 142 147 164 184 199 193 155 120 115 134 162 190 250 321 350 327 284 240 191 151 130 121 117 113 108 98 85 75 69 64 62 58 57 57 56 56 55 53 50 49 46 48 51 51 52 54 57 60 63 68 70 70 71 72 75 76 74 69 63 56 53 48 42 35 29 25 22 20 18 16 14 11 10 9 8 6 6 6 5 4 4 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 2 5 7 7 5 2 0 0 0 0 0 0 0 0 0 2 24 64 136 264 458 707 832 981 897 953 916 899 1014 1074 822 325 46 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 35 65 68 37 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 20 18 14 15 17 17 18 18 18 16 22 47 100 167 227 280 334 371 392 402 415 439 470 519 594 685 774 867 968 1087 1316 1469 1521 1534 1543 1543 1520 1453 1332 1195 1052 895 776 720 671 618 561 499 444 402 365 329 284 232 208 222 150 92 59 42 34 31 29 27 24 21 21 21 30 56 79 97 108 139 255 434 535 531 459 373 325 303 317 310 219 117 72 64 59 54 48 42 39 38 34 32 29 23 17 13 10 6 4 4 5 5 6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 11 5 5 5 5 6 7 8 8 8 10 12 15 15 14 11 7 6 5 3 1 0 0 0 0 1 5 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 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 1 1 1 1 1 1 1 2 2 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 2 2 1 2 3 3 3 2 1 1 2 3 4 5 4 5 5 5 4 5 5 4 4 4 4 4 4
91 91 95 96 93 95 95 91 86 88 91 96 108 131 154 170 177 188 189 179 165 161 155 137 137 147 159 159 142 120 112 122 146 188 245 315 373 387 357 320 267 195 159 144 133 120 110 103 95 85 76 71 68 65 64 64 65 66 67 66 64 60 56 55 53 53 54 56 58 60 62 66 69 72 73 74 76 79 79 77 70 61 54 51 47 41 33 27 25 22 17 14 11 8 7 8 7 6 5 6 6 5 6 6 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 3 6 25 96 280 559 778 894 932 935 873 939 1076 799 351 63 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 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 1 1 0 0 0 0 1 5 11 15 16 15 15 14 11 9 13 38 89 157 225 285 335 369 395 411 425 449 479 534 614 701 788 885 987 1103 1233 1439 1537 1565 1583 1584 1546 1463 1338 1192 1042 888 759 717 678 624 566 501 442 397 362 328 282 230 202 219 164 101 61 41 33 31 29 27 25 21 21 22 25 52 79 108 133 175 280 446 574 571 479 371 315 305 316 309 208 103 67 61 56 50 41 40 38 36 34 33 27 20 15 11 7 2 3 3 4 5 5 5 4 2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 2 4 8 5 5 6 6 6 8 9 9 9 10 12 17 18 17 13 10 8 6 4 1 0 0 0 0 4 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 1 2 2 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 2 1 1 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
91 90 90 91 91 88 86 87 84 85 86 88 94 109 128 141 154 168 170 165 161 162 162 151 138 135 136 135 129 119 118 139 188 258 330 375 432 425 459 442 373 279 210 180 157 137 121 112 101 92 86 81 76 71 71 71 71 73 73 74 74 71 68 66 61 58 58 59 61 63 64 66 69 72 74 75 78 78 79 79 77 72 66 59 51 46 38 32 27 21 17 13 10 8 5 3 3 4 5 6 6 6 6 6 7 7 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 2 19 9 9 61 234 514 756 858 897 878 950 1011 1176 653 190 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 2 6 12 15 14 13 11 10 6 3 6 29 82 153 223 286 332 367 398 415 426 445 475 530 605 685 774 881 983 1098 1224 1420 1555 1595 1613 1611 1561 1453 1307 1150 997 865 744 725 691 634 580 525 471 423 380 338 290 241 220 230 187 114 67 43 32 30 28 27 25 21 21 21 23 48 77 112 148 216 342 496 593 574 477 376 307 289 270 231 152 86 66 57 52 47 40 37 37 36 34 30 24 19 15 12 7 0 1 2 4 5 5 5 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 4 5 6 7 7 7 7 8 11 11 12 16 18 17 15 12 10 7 5 0 0 0 0 2 5 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 1 2 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 2 2 2 1 1 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4
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95 91 84 78 73 73 75 74 71 75 76 71 74 83 93 100 106 113 123 128 129 122 128 132 137 139 138 139 139 131 119 116 135 211 321 436 536 595 563 507 442 381 317 247 201 172 149 134 126 114 107 104 101 96 91 88 86 85 87 90 97 97 100 99 95 89 82 76 71 67 64 66 69 73 75 74 73 72 73 75 77 77 74 69 64 58 49 41 34 27 17 14 12 9 7 7 8 7 7 7 7 7 6 6 6 6 6 6 5 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 2 9 24 28 23 38 150 489 784 943 994 1063 1164 1239 1295 1234 480 71 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 2 2 0 0 1 4 9 12 13 11 8 4 2 0 0 0 1 26 89 166 234 290 325 358 385 387 387 403 445 514 596 681 773 872 979 1110 1257 1460 1605 1621 1573 1484 1368 1235 1089 946 843 780 737 714 695 662 620 582 550 510 456 399 341 284 250 218 234 145 83 49 31 28 26 26 24 22 20 21 24 35 52 74 120 237 420 570 608 542 412 299 237 208 183 155 121 88 66 55 46 38 34 34 33 32 31 25 20 17 13 7 1 0 0 1 4 9 12 13 11 7 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 4 4 4 4 4 6 7 7 8 9 12 14 14 14 16 17 12 6 2 0 0 0 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6
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