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 2 2 2 3 4 5 5 5 6 8 9 10 9 8 6 5 4 3 4 5 6 6 5 5 5 4 3 3 2 2 2 2 2 2 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 3 3 3 2 3 3 2 2 1 1 2 3 3 3 3 3 3 4 5 6 6 6 5 5 5 5 5 4 5 5 4 5 5 6 7 8 7 6 5 4 4 4 5 6 7 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 4 3 3 3 3 2 2 2 3 4 5 5 4 5 5 6 5 5 5 5 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 5 6 9 17 24 21 11 3 2 4 7 7 5 5 7 11 13 11 6 -0 -1 3 6 7 6 5 4 4 5 5 5 5 6 7 7 6 6 8 9 9 8 7 6 6 7 7 7 8 9 11 13 12 12 11 10 7 5 3 4 5 5 3 3 5 6 4 4 5 4 3 1 0 3 10 16 14 6 0 -1 1 2 -1 -4 -5 -2 3 5 5 4 3 4 7 8 7 6 6 6 6 6 6 6 6 5 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 5 6 10 16 22 21 14 8 7 7 7 7 8 10 11 9 7 10 14 14 9 5 3 3 3 4 4 4 4 2 -3 -8 -7 -3 -0 -1 -2 1 3 3 4 5 5 6 5 4 3 2 2 4 6 7 7 5 4 4 3 3 3 3 3 3 3 4 5 5 5 4 2 2 3 4 5 5 5 4 3 2 2 3 3 2 2 1 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 2 2 2 3 4 5 6 7 8 10 11 10 7 6 6 5 3 1 1 2 3 4 6 7 6 5 5 6 6 5 2 2 3 2 -1 -4 -4 -3 -2 -4 -3 1 5 5 5 5 6 7 9 11 11 12 12 11 11 9 7 6 6 7 9 10 11 13 14 14 15 16 17 16 15 14 13 12 11 10 9 7 7 6 6 5 5 4 5 5 5 6 6 5 5 4 4 5 5 6 6 6 6 5 5 4 3 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 3 3 3 3 3 2 1 2 3 4 4 4 5 6 8 10 11 10 8 7 5 4 3 4 5 6 6 5 5 5 4 4 3 3 3 2 2 2 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 4 4 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 6 6 5 5 4 4 5 5 4 4 5 5 5 6 6 7 7 6 5 5 5 5 6 6 7 7 7 6 5 5 5 5 5 5 6 6 6 6 7 7 7 6 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 9 18 22 19 11 5 2 2 3 4 4 3 6 9 9 7 5 4 3 5 6 5 4 4 4 4 4 4 4 5 6 7 6 5 4 5 7 8 8 7 7 7 8 9 9 9 9 10 10 8 7 7 8 7 6 5 5 6 6 4 1 3 5 4 3 4 5 3 0 -1 2 7 14 14 8 3 2 2 2 -1 -3 -1 4 7 7 6 5 5 7 7 7 6 6 6 6 6 6 6 5 5 5 5 4 5 6 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 6 9 15 20 18 11 6 6 6 6 6 7 10 10 9 8 9 12 12 8 4 2 2 3 4 4 4 4 3 -0 -6 -9 -5 -0 -1 -4 -3 1 3 4 4 4 4 4 4 3 3 3 5 6 7 6 5 4 3 3 3 4 4 3 3 3 3 4 4 4 4 3 3 3 4 5 6 6 6 4 2 2 2 3 2 2 1 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 2 2 2 3 5 6 8 9 11 13 15 16 14 11 10 8 4 1 2 4 6 7 9 10 9 5 3 4 6 5 3 3 4 5 5 4 3 5 8 9 6 5 4 5 5 5 5 5 7 7 7 7 6 5 4 5 5 5 6 7 8 9 9 10 11 11 11 12 12 12 11 10 9 9 8 7 7 6 6 5 5 5 4 4 5 5 6 6 6 5 5 4 4 5 5 6 6 6 6 6 5 3 3 2 1 2 3 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 3 3 3 3 3 2 2 1 2 3 3 3 4 5 7 9 11 11 10 8 7 6 4 4 4 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 2 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 3 3 3 3 3 4 5 5 5 4 4 4 4 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 5 5 4 4 5 5 4 4 5 5 5 6 6 7 7 6 5 5 5 6 6 7 7 7 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 5 5 5 4 4 5 5 4 4 3 3 3 4 4 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 8 16 21 18 15 11 6 2 2 2 2 3 4 6 6 6 6 6 6 6 5 3 3 4 4 5 4 4 4 4 5 7 7 5 4 5 5 6 6 6 7 7 8 9 9 9 8 8 7 5 3 4 5 6 6 5 5 5 6 5 3 3 4 4 1 3 5 3 -1 -1 2 4 7 8 7 7 6 2 -2 -3 -1 4 6 7 6 5 5 5 6 6 6 6 6 6 7 7 7 6 5 4 4 5 5 5 6 6 5 5 5 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 4 8 14 20 18 10 5 5 5 5 5 5 7 8 8 7 7 7 7 5 3 2 2 3 4 4 4 5 5 3 -1 -6 -6 -0 3 -1 -4 -1 3 4 4 4 4 4 4 4 4 4 5 6 6 5 5 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 3 3 4 6 7 7 5 3 2 2 2 3 2 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 4 7 8 10 10 12 16 21 24 22 17 12 10 8 5 5 7 8 8 9 11 10 6 2 2 4 4 4 5 6 7 7 8 10 12 15 15 11 7 5 5 5 5 5 6 7 7 7 6 5 4 4 4 5 6 6 7 7 8 9 9 10 10 10 10 10 10 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 3 2 1 1 3 4 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 4 3 3 4 3 3 2 1 2 2 2 3 3 4 6 8 10 11 10 9 9 7 5 4 4 5 6 7 7 6 6 6 5 5 5 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 4 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 5 6 6 6 6 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 7 12 17 18 16 14 10 6 4 2 2 1 2 3 4 5 6 6 6 5 5 5 4 3 3 4 3 3 4 4 5 6 8 7 6 5 5 5 5 6 7 7 7 8 7 7 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 2 -0 2 5 4 0 0 2 2 2 4 7 9 5 -3 -6 -3 2 5 5 5 5 5 5 6 6 5 5 6 7 7 8 9 9 7 5 4 4 4 4 5 5 6 6 6 6 5 5 5 4 4 4 3 3 4 4 4 5 5 5 6 6 5 5 4 5 5 4 3 4 7 12 20 19 10 4 5 5 4 5 5 5 5 6 6 5 4 3 3 3 3 3 4 5 5 5 5 5 4 2 -2 -4 -1 5 5 1 1 3 4 3 3 4 4 4 5 5 5 4 4 4 4 3 3 2 2 3 4 4 4 4 3 3 3 3 3 4 4 4 3 2 3 4 6 6 6 4 2 2 3 3 2 1 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 7 9 9 8 8 9 15 23 30 29 21 13 10 10 9 9 9 8 7 9 10 10 7 4 4 5 5 6 8 10 11 12 14 16 15 14 11 8 5 4 4 4 4 4 6 7 7 7 6 5 5 5 5 5 6 6 6 7 7 8 9 9 9 10 10 9 9 8 7 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 5 6 6 6 7 6 4 3 2 2 3 4 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 nan
nan 4 4 4 4 3 3 2 2 2 2 2 2 3 3 5 6 8 9 9 9 9 8 6 5 5 6 7 7 7 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 4 4 4 4 3 3 3 2 2 1 1 2 2 2 2 3 3 3 3 3 3 4 5 6 6 6 5 5 4 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 4 3 3 3 2 2 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 8 11 14 15 13 10 9 8 5 2 0 -0 1 4 6 7 7 7 6 5 5 5 4 3 3 2 3 4 4 3 3 5 6 6 5 6 6 7 8 8 8 7 6 5 4 3 3 4 5 7 6 5 4 4 4 4 4 5 5 5 5 4 1 -0 1 4 4 3 2 2 -0 -0 3 8 8 1 -8 -7 -0 5 6 5 4 4 5 5 6 6 6 6 6 6 6 8 9 9 8 6 4 4 4 4 5 5 5 6 6 7 6 6 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 6 6 5 4 5 6 10 18 21 13 6 5 5 4 5 5 5 5 5 5 5 3 3 3 4 4 5 5 6 6 6 5 5 5 4 2 -1 -2 1 5 5 4 4 5 4 3 3 3 4 5 5 5 4 2 2 2 2 2 2 3 3 4 4 4 5 4 3 2 2 3 3 3 3 2 2 2 3 4 6 6 4 3 2 3 3 2 2 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 4 6 8 8 6 3 1 2 7 17 26 26 18 10 8 10 11 11 9 8 7 8 9 10 8 8 8 9 10 11 13 15 18 19 19 17 13 9 6 4 3 4 4 4 3 4 6 7 6 6 5 5 5 5 5 6 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 6 6 4 4 3 3 4 5 6 6 5 5 4 5 4 4 3 3 3 4 4 4 4 4 4 nan
nan 5 5 4 4 3 3 2 2 2 2 2 2 2 3 3 4 6 7 8 8 8 8 7 6 7 7 7 7 7 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 3 3 4 5 5 5 5 5 4 4 4 3 3 2 2 2 2 1 1 2 2 2 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 5 6 6 6 6 7 7 7 7 6 7 7 6 6 5 5 6 6 6 6 6 6 5 4 3 3 2 2 2 2 3 4 4 4 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 7 12 14 13 10 10 9 7 3 0 -1 1 4 7 8 8 9 8 7 6 6 7 6 4 4 4 4 4 3 2 2 3 3 4 6 7 9 9 10 10 8 7 6 5 5 5 5 7 8 8 7 7 5 4 4 4 4 5 6 6 4 2 2 2 4 5 5 5 3 -0 -0 4 7 5 -3 -9 -4 3 6 7 6 5 5 5 5 6 6 7 7 6 6 6 6 7 8 7 5 4 4 4 5 5 5 5 5 6 7 7 6 6 5 5 4 4 4 4 5 4 4 5 5 6 6 6 5 6 6 6 6 5 6 6 9 16 21 16 9 6 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 6 5 5 5 5 4 2 -2 -5 -4 1 4 6 5 4 3 3 3 3 4 4 4 3 2 1 2 2 3 3 3 3 3 3 4 5 5 4 3 2 2 3 3 3 2 2 2 2 3 4 5 4 3 2 3 3 3 2 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 8 8 5 1 -2 -5 -5 -3 4 12 14 11 7 7 9 9 9 9 8 8 7 7 8 9 11 14 16 17 19 21 23 23 20 16 11 8 5 4 2 2 3 3 3 2 4 5 5 6 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 nan
nan 6 5 5 4 3 3 3 3 3 3 3 3 2 2 3 3 4 5 6 6 7 7 7 7 7 8 8 8 7 7 6 6 5 5 5 4 5 5 4 3 3 3 3 3 3 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 5 5 5 5 4 4 4 3 3 2 2 2 2 2 1 2 2 3 3 4 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 5 6 6 5 5 5 6 5 4 4 5 5 5 6 7 7 7 6 6 6 6 6 6 5 4 5 6 6 6 7 6 6 5 5 4 2 1 1 2 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 7 10 13 13 11 10 9 7 4 2 1 1 4 5 6 6 8 9 9 9 10 11 9 8 8 8 7 6 5 5 4 3 3 3 4 6 7 8 9 10 9 9 9 9 7 7 7 7 6 6 6 7 6 4 2 2 4 6 8 6 3 2 1 1 4 6 7 7 5 1 1 4 4 -0 -7 -6 -0 5 6 6 6 6 5 4 4 5 6 6 7 6 6 6 5 5 6 5 5 4 4 5 5 5 5 5 5 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 7 7 6 6 6 6 8 14 21 19 11 6 5 5 5 5 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 6 5 5 5 5 4 1 -5 -8 -5 2 5 5 5 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 2 2 3 4 5 5 3 2 2 2 2 2 2 2 2 2 2 3 4 4 3 3 3 3 3 2 2 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 9 10 7 2 -2 -3 -3 -5 -5 -3 -0 3 6 7 8 7 7 7 8 9 9 7 6 5 7 11 16 19 21 23 24 23 19 13 8 6 5 4 3 2 2 3 2 0 -1 -0 1 2 3 4 5 5 5 5 6 6 6 5 5 6 6 7 7 7 8 8 9 9 8 8 7 6 6 5 5 5 5 6 6 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 nan
nan 6 6 5 4 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 5 5 5 6 6 7 7 8 8 8 8 7 7 6 6 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 5 4 4 5 6 6 7 7 6 6 6 7 7 6 6 5 4 5 5 6 6 6 6 6 6 5 4 3 2 1 1 2 3 3 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 7 9 12 13 11 10 9 7 5 3 2 2 3 3 4 5 7 10 12 15 16 15 11 9 9 9 9 8 8 8 7 5 5 5 4 4 4 4 5 6 8 9 10 10 8 6 6 6 5 4 4 5 5 3 1 1 3 6 7 4 1 -1 -3 -1 4 6 7 8 7 3 3 4 1 -7 -9 -3 3 5 5 6 6 5 4 4 5 6 6 6 6 6 7 7 6 4 4 4 4 4 4 5 6 6 5 5 5 6 6 6 7 7 7 7 6 6 6 5 5 6 5 5 5 5 5 5 5 6 6 7 7 6 6 6 7 12 19 21 15 9 7 5 4 5 6 7 6 6 6 6 7 8 9 9 9 7 6 6 6 5 5 5 5 4 4 3 -0 -6 -6 0 5 5 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 3 4 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 1 1 1 1 1 2 2 3 3 3 3 3 4 4 3 3 3 3 4 5 6 8 10 12 11 7 2 -0 1 2 1 -1 -1 -0 2 5 7 7 6 6 6 7 8 9 8 8 7 7 10 13 17 20 19 17 14 9 5 4 4 4 4 2 2 3 3 2 -1 -4 -7 -6 -4 -1 2 4 5 5 5 6 6 5 5 5 5 6 7 7 7 8 8 8 9 8 8 7 7 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 nan
nan 7 7 6 5 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 6 7 8 8 8 8 8 7 7 6 6 5 5 5 4 3 3 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 7 6 6 6 7 7 7 7 6 5 5 5 6 6 6 6 6 7 6 5 4 3 2 2 2 2 2 3 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 5 4 4 4 4 4 4 5 5 5 6 9 11 12 10 9 8 7 6 4 3 3 3 4 6 6 7 10 16 20 19 14 8 6 6 7 9 8 8 7 6 5 5 5 4 3 4 4 3 4 6 8 9 8 7 5 5 5 5 5 4 5 5 4 1 -0 1 4 4 1 -4 -7 -8 -3 4 7 6 6 6 4 5 4 -3 -12 -10 -1 4 5 5 5 6 6 5 5 5 6 6 6 6 6 8 9 9 6 3 2 3 4 5 5 6 5 5 6 6 6 6 6 7 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 6 6 7 6 6 7 7 9 15 20 19 15 11 8 6 6 7 7 6 5 5 5 6 7 8 8 8 7 6 5 4 4 6 6 5 4 4 4 3 -2 -4 1 4 3 3 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 3 3 4 4 5 5 5 4 5 5 6 7 9 12 13 12 8 4 3 4 5 4 3 4 4 4 5 5 5 5 5 5 6 7 8 11 14 15 13 12 14 15 14 12 9 6 4 4 4 5 4 3 2 2 4 4 4 2 0 -2 -4 -4 -3 -1 2 4 5 5 6 6 5 4 5 5 6 7 7 7 8 8 8 8 9 8 8 7 7 6 6 6 6 6 6 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 5 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 5 4 nan
nan 7 7 7 6 5 4 3 3 4 4 5 5 4 4 4 4 3 3 3 2 3 3 3 4 4 4 5 7 8 8 9 9 8 8 7 7 6 6 5 5 4 3 3 2 2 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 3 3 4 4 4 3 3 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 6 5 5 6 7 6 5 5 6 7 8 8 7 6 6 6 6 6 6 6 6 7 7 6 5 4 3 2 1 1 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 5 5 5 4 4 4 4 5 5 5 7 9 11 12 9 6 5 5 6 4 4 5 6 8 9 9 9 11 15 16 13 8 3 2 2 5 7 8 7 5 5 4 5 5 5 5 5 6 4 3 5 7 8 8 7 5 4 4 4 4 5 5 6 5 3 2 2 2 -0 -5 -9 -11 -8 -1 4 5 4 4 5 5 6 3 -8 -15 -11 -2 3 4 4 5 5 6 6 5 6 6 6 5 6 6 7 10 11 9 5 2 2 4 5 6 6 5 5 5 6 6 5 5 7 8 10 11 11 11 10 8 7 7 6 6 5 5 4 4 5 5 5 5 6 6 6 7 7 8 10 14 17 18 16 13 10 10 9 9 8 7 5 4 4 6 6 6 6 6 7 6 5 5 7 7 5 5 4 4 2 -1 -2 1 2 2 3 5 6 6 5 4 5 5 6 5 5 5 5 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 3 3 3 3 3 2 2 2 1 2 2 2 2 2 2 1 1 1 1 1 2 2 3 4 5 6 7 7 7 7 7 8 9 10 12 13 12 9 6 5 5 5 6 5 5 5 5 4 3 4 4 5 5 5 6 8 10 14 19 20 21 20 18 13 9 6 5 4 4 4 5 5 4 3 3 4 5 5 6 8 10 11 10 7 3 1 2 3 5 5 6 5 5 4 5 5 6 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 5 4 nan
nan 6 6 6 6 5 4 3 3 4 4 5 5 4 4 4 4 4 3 3 2 2 2 2 3 3 3 4 5 6 8 8 9 8 8 8 7 6 6 5 5 4 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 3 4 4 4 5 4 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 6 4 4 6 8 6 4 4 6 7 7 7 6 6 6 6 5 5 5 6 6 7 7 7 6 4 3 1 1 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 6 7 10 12 12 8 4 2 3 4 4 5 6 8 11 11 9 10 10 9 8 6 4 2 2 3 6 8 8 7 7 6 6 6 6 6 6 5 5 3 3 4 6 7 7 6 5 4 3 4 4 5 7 6 5 6 7 6 2 -5 -10 -12 -8 -2 3 5 4 3 4 5 6 5 -1 -12 -17 -11 -2 1 2 3 4 4 5 5 5 5 5 5 5 5 5 7 9 11 10 7 4 3 4 5 6 6 5 4 5 6 5 4 5 7 8 11 14 16 16 13 9 8 7 6 6 5 4 4 4 4 4 4 5 6 6 7 7 8 8 8 10 12 15 17 15 14 13 13 13 13 12 10 8 7 7 7 6 4 6 7 8 7 8 9 9 7 7 6 4 1 -1 -1 0 1 2 3 5 7 7 5 4 5 6 6 6 7 8 8 7 6 4 4 3 4 4 4 3 3 3 2 2 3 4 6 8 8 7 5 4 3 3 3 2 2 2 1 1 2 2 2 2 2 2 1 1 1 1 1 2 3 5 7 9 10 11 12 12 12 12 12 14 15 15 11 5 3 4 5 6 6 7 7 6 5 4 4 5 6 7 8 10 12 13 15 18 19 18 20 20 15 9 6 4 4 4 4 5 5 5 4 4 4 4 5 6 7 9 13 17 18 16 12 7 5 4 4 5 5 5 4 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 nan
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nan 11 12 10 9 7 6 6 9 12 14 16 15 13 10 8 7 7 8 9 10 11 12 14 15 16 16 14 12 11 9 9 9 9 9 9 9 9 8 7 6 5 6 8 9 10 11 12 12 12 13 12 12 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 8 8 7 8 8 9 10 11 12 13 13 14 14 15 15 16 17 17 17 15 13 11 10 9 8 7 7 7 6 7 7 8 9 10 11 12 12 13 13 14 14 15 15 15 15 15 15 15 15 14 14 14 13 13 13 13 14 14 15 14 14 14 13 13 13 14 14 14 15 16 16 15 14 14 12 12 11 11 10 10 10 10 10 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 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 13 12 12 12 14 17 20 21 18 13 6 1 1 3 7 11 11 11 11 11 11 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 11 12 12 13 14 13 12 11 11 11 10 10 9 9 10 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 12 13 14 15 14 13 13 12 12 12 12 12 12 11 9 8 6 3 2 2 3 4 5 6 6 6 7 7 8 9 10 10 10 9 9 8 7 6 4 3 2 3 3 4 5 6 7 7 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 13 13 13 14 14 14 13 13 12 11 11 12 12 12 12 12 13 13 14 14 14 14 14 14 14 14 14 15 14 15 15 16 16 17 18 17 17 17 16 16 16 15 15 15 15 15 15 15 15 15 15 15 17 18 20 23 26 29 31 33 35 36 36 35 34 32 30 27 25 23 21 18 17 16 15 14 13 13 12 9 6 4 2 2 5 7 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 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 13 13 13 14 14 15 17 18 19 20 22 22 22 22 21 19 17 16 15 15 17 18 19 19 17 14 12 12 12 14 15 17 17 16 14 13 13 13 13 12 13 13 13 13 13 12 12 12 13 13 13 13 13 14 14 15 14 13 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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16 13 10 10 10 9 10 11 12 12 13 12 11 10 9 9 7 7 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 9 10 9 8 8 8 8 8 8 7 7 7 6 6 5 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 6 5 7 11 17 20 22 23 22 22 20 17 14 11 8 7 10 16 21 17 15 15 16 16 16 18 17 15 14 13 12 11 9 8 7 6 5 4 4 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 3 12 28 58 105 169 314 489 655 794 863 865 847 850 902 982 1067 1166 1275 1303 1357 1436 1537 1634 1702 1739 1824 2112 2219 2307 2379 2369 2292 2122 2088 2228 2389 2506 2558 2462 2284 2255 2173 2057 1913 1775 1705 1704 1701 1730 1735 1662 1626 1688 1736 1708 1696 1779 2134 2554 2810 2883 2803 2690 2554 2466 2413 2366 2298 2207 2179 2145 2115 2088 2051 1999 1954 1900 1844 1792 1753 1722 1677 1602 1534 1468 1406 1352 1299 1241 1187 1154 1156 1193 1217 1244 1297 1391 1512 1627 1740 1866 1990 2085 2147 2192 2246 2295 2310 2290 2251 2198 2100 1972 1907 1869 1849 1843 1860 1856 1818 1762 1694 1631 1596 1555 1496 1449 1437 1438 1454 1475 1496 1504 1398 1272 1161
14 11 9 10 10 10 10 11 11 12 13 12 10 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 6 8 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 7 8 12 17 21 24 25 24 22 21 20 18 16 13 11 12 13 12 18 18 18 18 18 17 16 17 17 17 16 15 14 14 13 11 10 10 8 6 6 8 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 41 71 100 173 293 451 621 773 817 816 805 811 831 854 873 969 988 1036 1105 1191 1292 1379 1465 1642 1799 1973 2199 2394 2369 2370 2234 2194 2196 2176 2236 2474 2553 2439 2329 2176 2039 1906 1742 1680 1714 1706 1712 1742 1735 1687 1704 1762 1815 1782 1770 1922 2216 2549 2889 2852 2774 2671 2565 2462 2372 2296 2202 2168 2150 2119 2080 2052 2003 1965 1922 1873 1820 1775 1746 1711 1645 1568 1491 1432 1385 1327 1256 1198 1165 1157 1168 1188 1221 1280 1375 1474 1571 1683 1808 1923 2000 2070 2141 2221 2288 2337 2373 2395 2408 2349 2262 2178 2088 1966 1873 1812 1721 1635 1558 1488 1448 1417 1385 1329 1295 1315 1350 1410 1476 1505 1469 1382 1281 1204
15 11 9 10 9 9 10 10 11 15 15 13 11 10 9 8 8 6 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 6 6 7 7 7 7 7 6 7 7 7 6 5 6 5 5 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 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 6 7 8 10 15 19 22 24 24 23 22 20 18 17 16 14 13 15 16 18 18 19 20 20 20 18 17 17 18 18 18 18 18 16 16 14 13 12 11 10 10 11 11 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 2 6 19 46 75 119 193 296 411 612 718 764 779 779 775 791 755 758 750 756 790 861 985 1049 1218 1412 1558 1718 1982 2324 2339 2415 2386 2338 2264 2121 1985 2176 2403 2510 2538 2388 2112 1901 1715 1705 1750 1745 1765 1807 1797 1725 1732 1740 1788 1778 1757 1804 1955 2273 2722 2779 2750 2709 2643 2518 2407 2322 2245 2202 2177 2141 2078 2036 1999 1965 1930 1896 1858 1817 1787 1745 1679 1608 1544 1486 1421 1349 1274 1223 1193 1185 1193 1201 1232 1290 1361 1437 1517 1605 1706 1800 1891 1984 2048 2108 2175 2248 2344 2420 2481 2481 2438 2388 2321 2190 2046 1897 1738 1598 1511 1437 1409 1371 1349 1333 1327 1363 1426 1484 1534 1540 1491 1416 1341 1323
12 10 9 9 9 10 10 9 11 16 15 13 11 10 9 8 8 6 7 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 3 3 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 4 5 6 8 11 14 18 19 20 21 21 21 20 19 17 16 15 15 14 15 18 21 21 22 22 23 23 21 19 19 19 20 20 21 21 19 18 17 16 15 14 13 14 12 10 8 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 23 51 87 132 187 285 458 600 694 742 742 710 689 654 592 534 506 519 569 676 767 929 1107 1277 1456 1700 2073 2260 2413 2389 2366 2372 2187 2000 2039 2244 2442 2561 2541 2390 2130 1915 1829 1794 1774 1784 1795 1755 1751 1782 1746 1721 1702 1700 1752 1818 2047 2345 2546 2624 2636 2689 2584 2469 2360 2280 2234 2203 2141 2072 2029 2001 1978 1956 1932 1893 1846 1798 1755 1700 1635 1572 1518 1454 1379 1308 1257 1227 1219 1238 1251 1277 1305 1342 1389 1441 1495 1562 1635 1716 1802 1885 1957 2016 2089 2214 2344 2430 2471 2469 2446 2409 2345 2248 2118 1948 1770 1661 1582 1527 1487 1468 1461 1460 1493 1550 1585 1600 1573 1503 1466 1443 1472
12 10 9 9 9 10 10 9 10 13 13 12 10 9 8 9 8 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 5 6 8 12 17 20 18 18 20 19 18 18 17 16 15 15 15 17 18 19 21 23 24 25 26 25 24 22 21 21 22 23 23 23 21 20 19 19 18 16 15 16 13 10 9 7 5 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 29 61 102 137 226 362 503 616 679 677 630 573 494 426 367 325 317 332 408 529 683 845 1013 1199 1426 1713 1995 2263 2358 2325 2348 2268 2159 2076 2154 2313 2448 2507 2513 2400 2183 1963 1796 1730 1743 1770 1767 1764 1750 1702 1636 1581 1562 1617 1702 1852 2070 2301 2484 2498 2593 2578 2505 2398 2297 2236 2192 2118 2047 2022 2019 2010 1989 1961 1927 1871 1812 1768 1725 1669 1601 1538 1470 1398 1333 1290 1279 1276 1293 1311 1325 1334 1345 1365 1383 1397 1416 1448 1504 1585 1679 1754 1808 1904 2029 2152 2264 2348 2365 2368 2381 2382 2348 2280 2153 2011 1901 1801 1739 1709 1684 1655 1626 1626 1645 1660 1643 1581 1515 1518 1554 1612
12 11 10 9 10 10 10 9 9 11 12 11 10 10 9 8 7 6 6 6 6 6 6 6 6 6 5 4 5 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 7 12 16 18 17 17 17 16 17 19 17 15 15 16 17 18 20 22 24 25 26 27 29 28 27 26 25 24 23 24 25 25 23 21 19 20 20 18 18 16 12 10 9 7 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 1 4 13 39 72 114 193 323 474 585 628 605 553 491 426 369 317 265 235 221 268 358 474 613 777 949 1164 1404 1686 1983 2182 2228 2228 2257 2319 2241 2183 2231 2358 2495 2430 2468 2386 2163 1931 1799 1730 1718 1733 1705 1651 1593 1541 1432 1420 1435 1512 1687 1891 2046 2277 2356 2461 2531 2534 2466 2355 2266 2188 2123 2063 2047 2051 2038 2009 1974 1948 1902 1846 1793 1749 1706 1630 1559 1483 1416 1363 1331 1328 1335 1345 1355 1365 1366 1349 1344 1339 1319 1292 1285 1321 1380 1436 1484 1539 1611 1704 1852 2036 2104 2143 2181 2215 2247 2276 2259 2214 2144 2065 1994 1952 1922 1883 1816 1759 1729 1714 1676 1612 1565 1552 1573 1619 1659
12 10 10 9 10 11 11 10 9 12 10 10 11 11 10 8 7 6 5 5 6 5 6 6 5 5 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 3 3 3 3 3 3 3 3 2 3 3 3 3 2 2 2 2 2 2 2 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 7 7 6 5 12 14 15 15 14 15 18 20 19 17 16 16 16 17 19 22 24 26 28 30 30 32 33 32 32 31 29 28 27 27 25 25 24 22 21 20 19 17 13 11 9 8 7 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 2 9 26 48 87 160 293 468 589 614 566 507 448 393 349 308 261 227 192 203 251 320 417 549 724 907 1114 1360 1632 1885 2030 2094 2253 2409 2401 2317 2301 2319 2473 2381 2469 2529 2426 2217 2034 1827 1706 1666 1646 1602 1566 1623 1519 1438 1376 1418 1579 1785 1872 2084 2258 2401 2492 2529 2520 2442 2350 2259 2185 2127 2093 2080 2066 2029 1990 1950 1903 1848 1795 1760 1718 1647 1564 1493 1436 1387 1358 1355 1360 1369 1388 1406 1412 1390 1350 1305 1260 1215 1183 1170 1151 1173 1239 1309 1387 1489 1616 1684 1748 1781 1838 1969 2047 2071 2082 2110 2117 2099 2060 2036 2023 1974 1901 1841 1794 1744 1679 1632 1591 1555 1553 1574 1568
12 10 10 10 10 11 11 10 10 11 10 10 11 11 11 9 7 6 5 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 5 6 7 11 15 15 13 11 13 20 21 19 18 17 17 18 20 22 23 26 29 31 33 35 37 36 35 35 35 35 35 34 32 28 26 25 25 24 23 20 17 13 11 9 8 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 20 36 61 109 219 420 594 645 610 546 486 442 395 331 276 241 186 159 178 216 264 354 506 672 845 1032 1260 1527 1766 2028 2210 2314 2389 2466 2470 2373 2341 2273 2351 2481 2495 2407 2273 2066 1928 1836 1758 1684 1619 1674 1624 1530 1441 1422 1509 1673 1795 1999 2211 2400 2526 2553 2547 2475 2394 2311 2241 2185 2143 2117 2099 2061 2014 1960 1899 1840 1790 1749 1713 1669 1606 1526 1455 1408 1386 1374 1365 1376 1413 1447 1456 1436 1383 1314 1243 1170 1095 1054 1064 1104 1133 1159 1206 1238 1286 1366 1423 1463 1513 1610 1681 1767 1855 1886 1912 1940 1951 1937 1932 1902 1866 1838 1801 1737 1675 1620 1567 1513 1479 1459 1402
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9 9 10 9 9 9 8 6 8 7 8 10 12 12 10 8 7 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 5 6 9 13 16 15 13 11 11 13 18 19 17 16 16 17 20 24 27 30 33 36 36 35 33 31 28 28 31 35 39 42 40 37 34 32 29 27 25 25 23 19 16 14 14 14 12 10 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 1 10 23 39 66 108 210 407 584 675 686 668 629 559 497 444 391 335 278 218 165 166 186 228 300 405 545 704 868 1118 1404 1676 1935 2184 2319 2435 2446 2409 2392 2363 2218 2254 2328 2389 2410 2419 2455 2348 2183 2020 1855 1711 1604 1484 1478 1564 1687 1780 1955 2230 2444 2578 2650 2631 2537 2422 2321 2239 2213 2186 2160 2138 2116 2087 2045 1995 1930 1858 1776 1699 1662 1623 1575 1518 1457 1415 1405 1408 1413 1441 1466 1473 1462 1436 1395 1326 1226 1128 1060 1019 997 1010 1030 1051 1045 1037 1038 942 978 1022 1146 1156 1113 1228 1385 1447 1488 1484 1476 1480 1544 1581 1604 1576 1509 1436 1402 1377 1307 1257 1224 1202
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