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 10 11 11 11 11 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 11 14 16 15 11 10 9 9 13 20 23 19 11 5 4 5 7 8 8 7 7 7 8 9 9 9 8 8 8 9 11 11 11 9 8 8 9 11 12 12 10 9 8 7 7 7 9 10 10 11 12 12 12 11 9 6 5 5 6 7 8 9 9 8 8 11 15 17 14 9 6 6 6 6 7 7 8 8 8 7 7 6 6 6 5 5 5 5 5 6 7 8 9 9 nan
nan 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 11 12 14 14 13 12 11 11 10 14 19 19 13 6 3 4 6 8 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 8 7 8 9 11 12 11 10 8 8 7 7 7 8 8 9 9 9 9 8 6 4 4 5 7 7 8 9 9 9 8 9 13 17 17 14 8 5 5 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 5 6 7 nan
nan 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 8 8 9 9 10 11 12 13 12 11 11 12 10 9 12 16 15 10 6 6 7 8 8 7 7 7 7 7 7 7 8 8 9 11 12 11 10 9 7 6 7 8 10 11 11 11 9 8 8 7 6 6 6 6 7 8 7 7 5 4 4 6 8 8 8 9 10 10 10 9 10 13 15 13 10 6 5 6 6 6 5 5 5 6 6 6 6 6 6 6 5 5 4 4 3 1 1 2 4 5 nan
nan 10 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 6 6 6 5 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 8 5 7 12 13 10 8 9 10 10 9 8 7 8 7 7 7 7 8 10 11 12 12 11 10 8 7 6 7 8 10 11 11 11 10 10 8 7 6 5 4 5 6 7 6 5 4 6 9 11 11 10 8 9 11 12 12 10 10 10 10 7 5 4 5 6 6 4 3 3 3 4 4 5 5 6 6 6 5 5 4 3 2 1 2 3 4 4 nan
nan 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 6 6 6 6 5 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 8 8 8 9 10 11 12 10 8 7 9 11 12 10 5 2 3 7 10 9 9 10 11 11 9 8 8 8 7 7 8 9 10 11 11 11 11 10 9 7 7 6 7 8 9 10 11 13 13 12 10 8 6 5 5 5 6 6 5 4 5 9 13 14 13 10 8 9 12 13 12 9 7 6 5 3 3 5 6 6 5 3 3 3 3 3 3 4 5 6 6 7 7 7 6 4 3 3 3 4 4 3 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 8 8 8 9 9 11 13 13 11 8 6 7 11 13 11 9 7 6 6 7 8 8 9 11 10 9 9 8 8 7 7 8 10 10 10 10 9 8 8 7 7 7 6 6 7 7 8 10 13 15 15 13 10 7 6 5 5 6 6 5 4 7 12 14 14 11 8 7 10 13 14 11 4 0 1 3 3 4 6 6 5 4 4 4 3 3 1 1 2 2 3 4 5 7 8 8 7 6 5 5 5 5 2 nan
nan 8 8 8 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 13 13 11 8 6 8 11 15 17 19 18 14 9 6 6 7 8 9 10 9 9 8 8 7 7 8 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 8 11 14 15 14 11 9 7 6 6 6 5 5 6 10 14 15 12 9 7 9 13 18 18 11 1 -5 -3 2 5 7 7 5 4 3 5 5 4 2 -1 -2 -2 -2 -3 -1 2 6 9 10 9 8 7 6 6 6 4 nan
nan 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 11 11 12 12 11 9 8 9 11 15 21 27 25 18 12 7 6 7 7 8 9 9 9 9 8 7 7 8 8 8 7 6 5 5 5 5 6 6 6 6 6 5 5 6 9 11 13 12 10 9 7 7 7 6 5 5 8 12 15 14 11 8 8 11 17 23 22 14 4 -2 -1 3 7 9 7 5 4 4 5 6 4 0 -3 -5 -6 -7 -8 -6 -0 5 9 11 12 11 9 9 9 8 5 nan
nan 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 6 6 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 10 11 11 12 12 12 12 11 10 9 9 9 11 17 22 22 16 11 7 7 7 7 8 9 9 10 10 9 8 7 7 8 8 7 6 5 4 5 5 6 6 6 6 6 5 5 6 7 9 10 10 8 7 7 7 7 6 5 6 9 11 13 11 9 7 9 14 18 22 20 14 8 4 3 5 7 8 7 6 6 6 6 5 3 -0 -3 -6 -7 -9 -9 -7 -2 4 9 13 15 15 14 12 9 8 6 nan
nan 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 6 6 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 11 11 10 8 6 6 9 12 13 10 7 5 6 7 8 9 10 10 11 10 9 7 6 7 8 8 8 7 5 5 5 6 6 6 6 6 6 6 5 6 7 8 9 8 7 7 7 8 7 6 5 6 8 9 9 8 7 7 9 13 16 15 12 8 6 6 7 6 6 6 6 7 8 8 6 4 2 2 1 -2 -3 -4 -5 -4 -1 4 9 14 18 20 19 14 9 6 6 nan
nan 9 10 10 11 11 11 11 10 9 9 9 9 8 8 8 9 9 9 9 8 8 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 10 10 11 12 13 13 14 13 13 13 13 12 11 10 10 9 8 7 8 9 8 8 5 2 2 4 8 10 11 12 12 11 10 8 6 6 7 9 9 8 7 6 5 6 6 7 7 7 7 6 6 6 6 7 8 9 8 7 7 7 7 7 7 6 6 7 8 9 9 8 7 8 10 10 8 5 3 4 7 8 7 5 4 5 7 9 9 6 4 4 5 5 4 4 3 2 1 2 4 8 12 17 20 20 16 9 6 6 nan
nan 9 10 10 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 6 6 6 6 6 6 6 7 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 11 12 13 13 13 13 13 13 14 15 14 11 9 7 7 7 7 11 15 16 13 8 4 -0 0 5 10 14 15 15 14 11 8 5 4 5 7 10 11 10 8 7 7 7 7 6 7 7 7 6 6 6 6 7 8 8 8 8 7 7 7 7 7 6 6 8 11 13 13 11 8 6 5 4 4 2 3 5 8 9 8 6 4 5 7 9 10 9 8 6 5 6 8 9 8 6 4 3 4 6 9 13 16 17 15 11 8 8 nan
nan 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 11 12 12 13 14 15 15 12 7 4 2 2 5 13 22 25 20 11 4 -1 -0 5 12 17 18 17 14 9 5 3 2 4 8 11 12 12 10 9 8 7 6 6 6 7 7 6 6 6 7 7 7 8 8 8 7 7 7 6 7 7 8 10 14 17 17 14 8 2 -0 0 2 3 5 8 10 10 9 7 7 7 7 8 10 11 11 9 7 6 8 10 9 6 4 3 3 4 6 9 12 13 14 12 11 11 nan
nan 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 7 7 8 8 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 7 7 7 7 8 9 9 9 9 9 10 11 12 12 13 13 12 11 10 10 10 11 12 12 12 13 14 15 14 8 2 -2 -3 2 13 24 28 22 12 4 1 2 7 14 18 19 17 13 7 3 2 2 4 7 10 12 13 13 11 8 6 5 5 6 6 6 6 7 7 8 8 7 7 7 7 8 7 7 6 7 7 9 11 14 16 16 13 7 1 -1 0 3 5 8 10 11 11 11 11 11 11 9 8 9 11 12 13 11 9 7 8 7 4 1 -0 0 1 4 7 9 11 13 13 13 14 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 9 9 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 7 8 9 9 9 9 10 11 13 13 13 13 13 12 11 11 11 13 15 15 13 10 9 10 13 14 12 4 -3 -5 -1 8 17 18 15 9 5 5 7 12 17 20 19 16 11 6 4 3 3 4 6 9 12 13 13 11 8 5 4 5 6 7 7 7 7 8 8 7 7 6 7 8 8 8 7 6 7 9 10 9 9 10 10 10 8 4 2 3 5 8 10 12 13 14 14 14 13 11 8 7 8 9 10 12 14 13 10 7 5 2 -1 -3 -2 0 3 7 10 12 13 14 14 14 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 9 10 11 11 12 13 14 14 14 14 13 13 13 13 13 14 16 17 15 11 5 2 4 8 12 13 8 0 -4 -3 2 5 4 4 6 8 10 13 17 19 18 15 11 8 6 5 5 4 4 5 7 10 12 12 10 6 4 4 5 7 8 8 7 7 7 7 6 6 6 7 8 9 8 7 7 9 10 10 7 5 4 6 7 8 8 8 8 8 10 12 14 15 16 16 15 11 6 3 4 6 6 5 7 11 13 11 8 5 2 -1 -3 -2 0 4 7 10 12 13 15 15 14 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 8 8 7 7 7 8 8 8 8 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 8 10 12 13 13 14 15 15 14 13 14 15 16 16 15 15 15 16 15 12 7 2 -1 -1 3 8 12 11 6 2 -0 -0 -1 -1 3 9 13 15 18 19 17 13 9 7 7 7 7 6 5 4 4 6 8 10 10 8 6 5 5 6 7 8 8 7 6 6 5 5 5 5 7 9 10 9 8 8 10 11 10 7 5 4 4 5 6 8 9 9 9 10 11 12 14 17 19 18 12 5 1 2 4 4 2 4 8 10 10 9 6 4 1 1 1 2 3 6 8 10 12 13 14 13 nan
nan 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 8 10 12 13 13 14 13 12 11 13 15 18 20 20 19 16 15 14 12 9 6 4 2 2 4 8 12 14 13 11 8 5 3 4 8 13 18 19 19 18 14 9 7 6 7 8 7 6 5 4 3 5 7 8 8 7 6 6 7 7 8 8 7 6 6 5 5 5 5 6 8 11 12 11 9 9 10 10 10 9 8 7 6 5 5 6 8 8 7 7 7 9 12 16 18 18 13 9 7 8 8 6 6 7 9 11 11 10 9 7 6 6 5 3 3 4 6 7 8 9 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 10 11 11 10 9 10 12 14 16 18 20 20 18 15 14 13 11 10 10 10 10 9 9 10 13 16 18 20 19 15 12 12 14 17 20 20 18 15 11 9 8 8 8 8 7 6 5 4 4 4 6 7 7 7 6 7 8 9 9 8 7 5 5 5 6 6 6 7 10 12 13 12 10 9 9 9 10 10 11 12 10 8 6 6 7 7 6 5 5 6 9 12 13 10 8 8 12 14 14 12 12 13 14 15 15 15 14 13 12 11 9 6 5 4 5 5 6 6 6 7 nan
nan 8 8 9 9 8 8 8 8 8 8 9 9 10 10 10 9 8 7 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 11 13 14 14 14 12 10 11 13 15 16 15 14 14 13 12 10 9 10 11 12 14 16 16 14 12 10 11 13 16 21 25 25 21 18 18 19 20 19 16 12 10 9 9 8 8 8 7 7 6 5 4 4 5 6 7 7 7 7 9 10 9 8 7 5 5 5 6 7 7 9 11 12 13 11 9 7 7 7 8 9 12 14 13 11 10 9 8 8 7 7 6 6 7 8 7 5 4 5 9 12 13 13 14 14 14 15 16 18 20 20 18 15 11 8 6 5 4 5 5 4 4 5 nan
nan 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 8 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 6 7 10 15 20 24 25 23 20 17 15 16 19 20 18 14 11 9 8 7 5 5 7 9 11 14 16 17 15 12 8 4 3 6 18 28 31 28 23 20 20 19 17 13 11 10 9 8 7 7 8 8 8 7 6 5 5 5 5 6 7 7 8 8 9 8 8 7 6 5 5 6 7 8 9 11 11 11 10 8 6 5 4 5 7 10 14 16 15 14 12 11 10 9 9 8 7 6 5 4 3 3 4 5 7 8 9 10 10 10 10 13 18 21 22 20 16 12 9 6 5 4 4 5 5 5 5 nan
nan 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 7 11 16 23 30 35 33 26 20 17 17 19 22 23 20 17 14 12 9 7 5 3 3 4 6 9 13 16 15 11 4 -3 -9 -4 15 30 33 29 24 20 18 15 12 10 8 8 7 6 5 6 7 8 8 8 7 7 6 5 5 6 7 7 8 8 8 7 7 6 6 6 6 6 8 9 10 10 9 9 9 9 7 5 3 4 6 10 14 16 17 16 14 12 11 9 9 8 7 6 5 4 3 4 4 5 5 6 6 6 6 6 7 9 15 19 19 16 13 10 8 6 5 4 4 5 5 5 6 nan
nan 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 8 14 19 24 30 32 29 21 15 12 13 18 22 23 22 21 19 16 13 9 6 3 0 -1 -1 3 10 16 16 11 3 -5 -11 -5 15 29 29 25 20 17 13 10 7 6 6 6 6 5 5 6 7 7 7 7 7 7 7 6 7 7 7 8 8 8 7 7 6 6 6 7 6 7 10 12 11 9 7 7 8 9 9 8 7 7 9 12 15 16 15 13 12 10 8 7 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 9 13 15 15 12 10 8 7 6 5 4 4 4 4 4 4 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 9 13 15 17 19 21 20 19 15 11 12 16 19 21 21 21 20 18 14 11 8 4 -0 -4 -4 1 9 16 18 13 6 -1 -3 4 16 23 22 18 15 12 8 5 3 3 4 6 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 12 14 13 9 5 4 6 9 11 11 12 13 14 15 15 13 11 9 7 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 11 14 17 15 12 9 7 6 6 5 4 4 4 4 3 2 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 11 10 9 11 14 18 19 17 13 11 13 14 13 13 14 16 16 14 11 9 7 3 -1 -1 3 10 17 18 15 9 6 8 15 21 22 19 15 11 8 5 3 2 2 4 7 9 10 9 8 7 6 5 5 4 5 7 9 10 10 9 9 8 7 7 6 6 6 7 9 10 11 13 14 13 9 5 3 4 7 10 12 15 16 16 13 11 8 6 5 4 4 4 4 5 5 6 6 7 7 8 7 7 8 8 9 9 9 10 11 12 15 19 22 19 14 10 7 6 6 5 4 4 4 5 4 4 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 8 12 16 17 14 10 8 7 4 0 -1 -0 5 10 13 13 12 11 9 6 6 10 15 19 20 17 13 12 16 23 25 23 18 14 10 7 4 3 2 3 5 7 9 9 9 8 6 5 4 3 4 5 7 9 11 11 11 9 8 7 6 6 5 6 8 11 13 12 10 10 9 6 3 2 3 6 9 13 16 15 12 8 6 5 4 3 3 3 3 4 4 5 5 6 7 8 9 8 8 8 9 9 10 10 11 12 14 18 23 25 21 15 10 8 7 6 6 5 5 5 7 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 9 10 11 10 8 5 4 2 -3 -11 -15 -13 -7 2 11 17 18 17 15 14 14 18 22 24 22 19 15 15 18 23 24 20 16 12 9 7 5 3 3 4 5 6 7 7 6 6 4 3 3 3 4 5 7 8 10 11 11 10 8 6 5 5 5 5 8 12 14 11 7 5 3 1 -0 -0 2 5 10 14 15 12 7 4 3 3 3 3 3 3 3 3 4 4 5 5 6 7 8 9 9 9 9 9 9 10 10 12 16 21 24 23 17 12 8 6 6 6 6 6 6 6 7 8 9 nan
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nan 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 11 13 14 12 9 7 5 3 2 3 5 5 5 4 -0 -5 -9 -9 -6 -2 3 12 20 23 21 19 21 24 26 24 20 15 12 11 11 9 8 7 6 5 5 4 4 6 6 5 4 4 4 5 4 3 2 1 1 2 5 6 6 6 8 11 13 12 8 5 3 3 5 8 10 11 9 5 2 -1 -3 -4 -2 1 5 10 13 12 8 4 2 2 3 3 4 4 4 3 3 3 3 3 4 4 5 5 6 6 7 8 9 10 10 10 11 14 18 19 16 10 3 -0 -0 3 5 6 6 6 5 5 6 7 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 9 10 12 14 13 10 5 3 2 2 3 4 4 4 5 5 4 2 1 1 1 1 3 8 18 23 21 18 19 22 24 22 17 13 10 9 8 6 5 4 4 4 3 3 4 5 6 5 5 5 6 6 6 4 2 1 0 1 3 6 7 9 11 14 15 13 9 5 3 4 7 9 10 9 5 2 0 -1 -2 -2 1 6 12 17 17 12 5 1 1 2 2 3 4 4 5 5 5 5 4 4 4 5 6 6 7 7 8 9 10 11 11 12 13 14 16 15 11 6 1 -0 3 7 8 7 6 5 5 5 6 8 9 nan
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 8 10 13 15 14 13 11 8 4 2 1 3 5 7 7 6 6 6 6 7 7 8 10 11 11 12 15 21 26 26 19 11 6 6 9 13 16 17 18 16 14 11 9 7 6 5 4 3 3 7 14 21 22 18 14 12 10 8 6 4 2 1 3 9 19 27 29 25 18 13 11 11 12 14 14 12 11 9 8 7 7 6 6 7 9 13 17 17 13 8 5 3 2 2 2 2 2 3 4 6 7 9 10 11 12 12 13 15 16 17 18 17 16 15 14 13 12 11 11 11 12 13 13 14 15 15 14 10 6 3 2 2 3 5 8 nan
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 10 12 12 12 13 14 13 11 9 7 6 8 9 10 11 13 15 18 20 19 17 16 14 13 12 13 16 22 29 30 21 11 3 -0 0 3 7 9 9 9 8 6 4 4 3 2 2 4 8 12 17 19 16 10 5 2 2 3 3 4 4 4 3 4 8 14 19 23 24 22 17 13 10 10 13 18 22 25 23 19 15 12 11 12 14 15 15 12 9 5 3 3 2 3 4 4 5 5 5 5 5 7 9 11 14 15 16 15 16 16 15 14 16 18 18 16 13 11 9 8 7 8 10 12 13 12 9 5 2 1 1 2 4 7 9 9 nan
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nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 10 10 15 24 30 34 31 22 14 9 4 3 4 8 13 18 17 15 14 13 12 11 11 11 13 16 16 14 11 9 10 11 12 12 12 11 10 9 9 9 8 7 6 6 7 8 9 10 11 10 9 7 6 6 7 8 8 8 7 6 6 6 6 5 5 5 6 7 9 10 11 11 12 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 10 12 12 12 12 12 13 14 13 12 10 9 9 9 9 8 7 6 6 7 8 9 10 9 8 7 7 6 5 5 5 5 5 6 7 7 8 8 9 9 9 8 8 8 10 14 19 21 19 16 13 11 10 10 10 10 10 11 10 9 7 5 6 10 17 25 31 33 31 27 22 17 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 14 22 29 31 29 21 11 6 3 2 3 8 12 17 17 16 14 14 13 13 13 14 15 15 13 11 8 8 10 11 12 12 11 10 10 10 9 10 10 10 10 9 9 9 10 11 11 10 9 8 7 9 11 12 12 11 9 7 6 6 5 5 5 5 5 6 7 8 9 10 12 13 12 11 11 10 10 9 9 9 10 10 9 9 9 9 10 11 11 10 10 11 12 13 15 15 14 12 10 9 8 9 9 10 10 8 7 7 8 10 11 11 10 9 7 6 5 5 4 4 5 7 8 9 9 10 10 10 10 10 10 10 12 15 18 20 18 16 13 11 10 10 9 9 10 10 9 8 6 3 4 10 17 23 25 25 22 20 18 16 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 13 20 28 31 28 22 13 5 3 2 2 7 12 16 18 18 16 15 14 13 13 15 16 15 12 9 7 6 9 12 13 13 13 12 12 11 11 12 13 14 14 14 12 11 10 10 10 10 9 9 9 11 13 14 14 13 11 8 7 6 6 6 6 6 6 6 5 5 6 8 10 12 14 13 12 10 9 9 9 9 10 10 9 9 10 10 11 12 12 11 10 10 11 13 15 15 14 12 11 10 9 9 10 12 13 11 9 8 8 9 11 12 11 10 8 7 6 5 5 5 6 8 9 10 10 10 9 9 9 10 11 14 17 18 19 18 17 15 13 12 11 9 8 8 8 9 8 6 4 3 6 11 15 17 17 15 14 14 15 15 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 13 20 28 34 32 26 18 9 4 3 3 5 10 15 19 20 19 17 15 13 14 15 16 15 13 9 6 5 7 10 13 15 16 16 15 13 12 13 15 16 17 17 15 12 11 10 10 10 9 9 10 11 12 12 12 12 11 10 9 8 8 8 8 7 7 7 5 4 4 5 7 10 13 13 12 11 10 9 9 9 9 9 9 9 9 10 11 12 13 11 8 8 9 10 12 13 13 13 12 11 10 10 12 14 15 14 12 9 7 7 8 10 10 9 8 7 7 7 6 6 7 8 9 9 9 9 9 8 8 10 12 16 19 20 18 17 15 14 13 12 11 10 8 7 6 6 5 3 3 5 9 13 13 12 10 9 10 11 13 13 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 13 20 28 35 35 29 21 14 8 4 3 4 8 14 19 21 21 19 16 15 15 16 17 16 13 9 6 4 5 9 12 15 17 17 16 14 13 13 14 16 17 17 15 13 12 11 11 11 11 11 10 10 10 10 10 10 11 11 12 11 10 9 9 8 8 8 7 6 4 4 6 8 10 12 12 11 10 10 10 10 10 10 9 9 9 9 10 11 11 9 7 6 6 8 10 12 13 13 12 12 12 13 15 16 16 15 12 9 7 6 6 7 8 8 8 8 8 8 7 7 6 7 7 8 9 9 9 9 10 11 13 15 17 17 16 15 14 13 13 12 11 9 7 5 3 2 0 -0 3 8 13 14 12 9 6 6 9 10 12 12 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 13 20 27 32 34 29 21 14 9 5 4 4 7 12 17 20 21 19 18 16 16 17 17 16 14 10 6 4 6 9 12 14 16 16 15 14 13 13 13 15 15 15 13 11 11 12 13 13 12 12 11 10 9 8 9 11 13 14 13 12 10 9 7 7 7 8 9 9 8 7 6 7 8 10 11 11 10 10 10 10 11 11 10 9 8 8 8 10 10 9 9 8 8 8 10 11 12 12 11 11 12 14 16 16 15 13 11 8 7 6 6 8 8 9 8 8 8 8 8 7 6 6 6 7 8 9 10 11 12 13 14 16 15 13 12 12 12 12 11 11 10 8 6 3 -0 -2 -3 -1 6 12 15 14 11 7 5 5 8 10 12 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 12 18 26 31 32 28 19 11 6 4 3 5 7 10 15 18 19 19 17 16 16 16 16 15 13 10 7 6 7 9 12 13 14 14 14 13 14 15 15 16 15 14 12 10 10 11 12 12 12 11 10 9 9 10 12 14 16 15 12 9 7 5 4 4 4 6 9 10 11 10 8 7 8 10 10 11 10 10 9 10 11 11 11 10 9 8 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 12 14 15 14 12 10 8 7 7 8 9 9 9 9 8 8 9 10 10 9 8 8 8 8 9 9 10 12 13 16 19 17 13 9 8 8 9 9 8 7 6 4 1 -3 -5 -5 2 10 14 15 13 10 7 6 6 9 11 12 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 12 16 24 30 31 26 17 8 4 3 2 4 7 10 13 16 16 16 15 14 13 14 14 14 12 10 7 6 7 9 11 13 13 13 13 13 14 16 18 19 18 17 14 12 11 10 10 11 11 10 9 9 11 13 16 19 18 15 9 5 3 2 2 3 4 6 8 10 11 11 9 8 8 9 10 10 10 9 8 9 10 11 11 11 10 9 8 9 10 11 12 12 12 11 11 11 12 12 12 11 10 9 10 11 12 12 11 9 8 8 9 10 10 10 9 8 9 11 12 13 13 12 12 11 10 10 9 8 9 12 18 23 22 17 12 8 7 7 7 5 3 3 2 0 -4 -6 -4 3 11 13 12 11 9 8 8 9 10 12 13 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 12 16 22 28 30 25 17 10 6 3 2 2 5 9 12 13 14 13 11 10 10 11 12 13 13 11 8 6 6 7 9 11 12 12 11 12 13 16 18 20 21 20 18 17 15 15 13 12 11 10 9 10 13 17 20 23 21 14 7 1 -0 1 3 5 7 9 10 11 11 10 9 8 8 8 9 9 9 8 7 8 9 10 11 11 11 10 8 8 9 10 11 11 11 10 9 10 11 13 14 13 12 10 9 9 10 11 11 11 10 10 10 11 11 11 10 10 11 12 14 15 14 14 13 13 12 11 9 9 9 12 19 26 27 23 18 12 8 6 4 2 1 1 2 1 -3 -5 -3 1 7 9 9 8 8 9 10 10 11 12 12 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 15 21 27 30 27 20 14 9 6 3 2 4 8 11 11 11 11 9 8 7 9 12 14 15 14 11 7 5 5 7 9 10 11 10 10 11 12 14 16 17 18 19 19 20 20 19 18 15 14 13 14 16 19 22 24 21 12 4 -2 -3 -1 5 9 14 15 15 13 12 10 8 8 8 7 7 8 8 8 7 7 8 9 10 11 11 10 9 9 9 9 9 9 9 8 8 9 10 12 13 15 15 15 13 11 10 10 11 12 12 12 12 11 11 11 10 11 12 14 15 16 15 14 13 12 11 11 11 11 13 15 20 25 26 24 21 16 11 6 3 -0 -0 2 4 5 1 -2 -1 -0 3 5 6 6 8 10 11 12 12 12 12 12 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 14 21 27 31 30 23 16 12 8 4 2 3 6 9 11 11 11 10 8 7 9 11 14 15 15 12 7 4 4 6 8 9 10 10 9 9 9 9 9 10 12 14 16 18 18 19 19 17 17 17 19 21 22 22 21 16 8 -1 -5 -6 -3 6 14 20 21 19 16 12 9 7 7 7 6 6 7 8 8 8 7 8 8 9 10 10 10 10 9 9 8 7 7 7 7 8 8 9 10 12 15 19 20 19 16 12 10 9 11 13 14 13 13 12 11 9 9 11 13 15 17 16 15 13 10 9 9 11 14 18 20 21 21 22 21 19 17 11 6 2 -1 -1 3 6 8 7 4 2 2 3 4 5 5 7 10 11 12 12 12 12 12 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 13 19 27 31 31 24 15 11 8 5 3 3 5 8 11 12 13 13 12 10 10 11 13 14 12 9 5 3 3 4 6 8 9 9 9 8 7 6 6 5 6 8 10 10 11 11 11 12 14 17 20 23 24 22 17 12 4 -3 -7 -7 -4 6 16 21 22 20 17 13 10 8 7 6 6 6 7 8 8 8 7 7 8 8 9 10 10 11 10 9 9 8 7 7 7 8 8 8 9 11 14 19 22 21 18 14 10 8 10 12 14 15 15 14 12 10 8 9 11 13 15 16 15 12 9 7 7 9 14 19 21 20 19 18 17 16 14 10 5 1 -1 -0 3 6 10 11 9 7 6 5 5 5 6 7 8 10 11 12 13 12 12 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 13 17 24 30 30 24 16 10 7 5 3 3 5 8 11 14 16 17 16 14 12 11 11 10 9 5 3 3 3 5 6 7 8 9 8 7 7 6 5 5 5 5 5 5 4 4 4 6 9 14 18 22 23 22 16 10 4 -1 -4 -4 -2 4 13 18 20 19 17 14 12 10 8 7 6 6 7 8 9 10 9 8 8 8 8 9 10 11 11 10 10 9 8 8 8 8 8 8 8 9 12 16 18 19 16 13 8 6 7 9 11 14 16 17 16 14 11 10 9 10 12 13 13 12 9 7 7 7 10 15 17 17 16 15 14 13 12 9 5 2 1 0 2 5 9 11 10 9 8 7 7 6 6 7 7 8 10 11 12 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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43 42 40 37 33 29 25 24 26 27 29 23 20 19 18 17 15 12 12 13 13 12 11 12 15 15 15 16 15 14 12 9 7 6 5 5 5 5 5 5 5 6 6 7 8 9 10 9 9 9 8 8 9 10 14 15 17 17 17 17 15 13 13 12 12 11 11 12 11 10 9 9 9 8 7 7 7 6 6 6 6 6 6 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 18 136 334 331 148 32 4 0 0 0 2 10 59 138 200 258 299 319 327 339 369 433 517 589 617 593 548 539 581 655 721 735 682 599 544 538 587 709 889 1086 1286 1461 1543 1513 1417 1190 1225 1379 1504 1471 1258 1029 884 887 961 954 855 807 983 1429 1957 1940 1467 1030 896 971 1066 1141 1214 1281 1279 1231 1170 1109 1047 979 903 823 736 628 518 413 312 214 126 55 14
40 39 37 33 26 22 21 21 22 24 24 20 18 17 15 14 13 11 10 12 12 11 11 13 14 14 14 14 13 13 11 8 5 5 5 5 4 4 4 4 5 6 6 7 8 8 9 7 6 7 8 8 8 9 11 14 14 15 15 15 14 12 12 12 11 10 10 10 10 10 9 8 8 8 7 7 6 6 6 6 6 5 5 5 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 1 0 0 0 0 0 41 216 361 282 89 3 0 0 0 2 8 24 65 135 218 273 307 329 349 377 419 474 523 553 558 545 536 553 604 683 742 729 656 585 554 570 639 769 924 1023 1054 1031 1003 1006 986 914 911 982 1095 1139 1081 969 881 872 913 891 821 828 1013 1343 1614 1490 1054 871 860 930 1007 1068 1119 1164 1176 1152 1118 1083 1041 983 903 805 703 585 471 358 251 153 75 23 3
38 34 30 26 23 22 21 20 19 18 18 17 17 14 13 12 11 10 10 11 11 9 12 14 14 13 13 12 12 11 8 6 5 5 5 4 3 3 3 4 5 6 6 7 8 8 8 6 6 7 7 7 7 8 10 12 12 14 15 17 15 13 11 11 10 10 9 9 9 9 10 8 7 7 6 6 6 6 6 6 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 1 0 0 0 0 0 0 104 294 332 196 42 0 0 1 6 14 27 54 103 176 255 303 337 370 410 460 511 547 557 542 518 512 529 571 633 701 733 707 631 576 561 584 641 719 798 861 890 879 841 793 746 702 671 739 903 1008 1002 936 882 870 865 818 797 873 1022 1156 1185 1060 870 853 885 930 961 979 1000 1031 1052 1047 1035 1022 1000 958 885 781 664 539 419 305 206 121 55 13 0
42 31 21 19 20 21 20 18 16 16 15 15 14 14 13 10 10 10 10 10 10 9 13 13 13 12 11 12 11 9 7 5 5 5 5 3 3 4 5 5 6 7 7 7 7 7 7 6 6 7 6 6 7 8 10 11 12 13 14 16 14 12 11 9 9 9 9 9 10 10 9 8 7 7 6 6 6 6 6 5 5 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 2 2 0 0 0 0 0 0 11 169 325 268 118 16 1 4 11 22 35 56 97 159 231 297 350 394 446 508 572 617 627 594 545 491 483 513 571 639 695 715 701 648 591 555 547 566 601 643 702 746 746 703 641 591 580 626 743 940 983 937 888 872 876 861 803 795 884 958 953 895 840 831 865 886 897 904 913 925 939 948 945 940 937 929 911 872 803 701 568 442 335 258 165 75 18 0
33 28 21 21 23 21 18 16 16 15 14 14 14 14 13 10 10 10 9 9 9 10 12 11 11 10 11 10 8 7 7 6 6 5 4 4 5 5 5 6 7 8 9 9 8 6 6 6 6 6 7 7 8 9 10 11 12 12 12 12 12 11 9 9 8 9 10 10 10 9 8 8 7 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 0 0 0 0 0 0 30 156 264 175 57 6 4 16 31 41 54 83 138 204 272 338 402 467 534 599 649 667 645 588 525 467 459 492 551 613 666 704 725 703 635 563 508 483 489 522 575 626 629 585 529 510 581 758 1018 1452 1207 925 835 852 884 891 855 832 874 849 785 747 765 816 854 841 820 851 903 926 905 865 838 836 845 849 854 863 860 821 722 588 461 355 236 119 38 5
27 25 25 28 28 21 18 15 15 16 18 18 18 17 14 11 11 9 9 9 9 10 10 10 10 10 12 11 9 8 8 7 7 6 5 5 6 6 6 7 7 8 9 9 8 7 7 7 6 7 7 8 9 9 11 12 12 12 12 12 11 10 9 9 9 10 10 9 9 8 7 7 6 6 6 6 7 6 5 5 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 2 2 1 0 0 0 0 0 0 23 89 147 94 21 2 7 24 40 50 66 104 165 229 295 366 443 518 582 621 634 621 587 539 489 446 436 466 511 553 595 642 691 714 670 581 494 432 410 423 454 483 491 470 456 494 649 926 1326 1833 1393 904 812 866 955 1021 1027 971 895 750 665 650 694 756 788 765 736 818 931 962 893 787 727 728 742 739 740 774 825 857 835 749 636 509 364 218 106 46
23 25 25 27 26 18 16 16 16 19 21 21 20 21 16 13 11 10 9 10 11 11 11 11 11 11 11 9 10 10 9 7 6 5 6 6 6 6 6 6 7 8 9 10 9 8 7 7 8 8 9 9 10 10 11 11 11 11 12 12 11 9 9 9 9 9 9 8 8 8 7 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 31 66 74 41 3 0 6 23 43 61 85 125 180 237 299 372 448 514 555 563 546 526 505 479 446 418 410 427 451 469 487 516 566 619 630 575 481 396 349 337 345 359 368 376 418 518 698 934 1132 1170 1028 838 843 956 1141 1288 1285 1120 910 687 606 600 631 671 689 675 667 764 901 932 847 719 637 629 621 574 539 560 625 701 752 757 730 673 561 408 266 169
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26 26 24 20 18 19 19 18 19 21 20 19 17 16 15 14 14 13 16 16 14 13 14 15 12 9 8 9 10 8 6 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 6 7 8 10 11 9 8 9 9 10 10 10 10 10 10 9 10 9 8 8 7 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 1 2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 16 133 119 65 23 3 0 1 6 23 48 79 125 174 222 276 319 355 391 424 444 445 432 419 405 388 366 346 336 333 328 316 297 287 307 350 388 393 353 294 254 241 249 265 286 322 393 532 673 769 789 763 757 821 947 1074 1163 1279 1283 1127 879 671 588 587 586 585 596 610 622 651 721 805 834 779 695 609 500 346 172 143 206 328 463 577 664 736 773 683 531 405
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29 27 23 22 22 23 23 22 20 20 20 19 19 16 13 13 14 14 13 13 14 16 17 15 11 9 9 11 10 8 8 8 8 7 4 4 4 4 4 6 6 5 4 3 3 4 4 5 4 5 7 7 8 7 8 10 12 12 11 11 11 11 10 9 8 8 7 6 4 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 30 60 34 7 1 0 0 1 4 13 31 65 138 209 262 301 329 343 368 416 454 459 440 416 399 378 340 296 264 241 220 196 172 153 151 165 181 187 180 172 181 199 226 234 242 260 297 360 439 501 523 539 602 699 775 771 675 571 537 561 601 620 600 557 520 555 619 643 624 587 573 615 736 751 738 683 536 308 91 5 16 67 165 303 466 605 622 449 296 249
23 23 21 21 22 23 23 23 22 20 20 20 19 16 12 15 17 18 16 14 15 16 16 14 12 10 10 10 12 10 10 10 9 7 5 5 5 6 7 8 8 5 4 3 3 4 4 4 4 5 7 8 9 10 10 11 12 12 11 11 11 11 10 9 8 7 6 5 3 2 2 3 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 1 0 0 0 0 0 8 35 35 16 2 0 0 2 3 3 8 31 79 156 210 233 246 270 311 369 434 478 491 480 452 421 388 341 292 255 221 184 149 117 92 78 78 89 101 111 121 135 156 182 195 200 209 237 297 388 487 551 570 573 566 550 521 482 444 444 492 553 598 605 569 526 521 555 585 609 621 622 641 702 699 739 722 564 313 93 0 2 14 53 150 305 430 440 350 221 183
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18 18 20 21 21 21 21 20 18 17 18 17 17 18 18 17 17 20 20 22 21 17 13 11 10 9 9 11 13 11 8 6 5 5 6 7 7 8 8 9 8 6 5 5 6 6 6 7 7 7 8 8 9 8 8 9 10 11 11 11 10 10 9 8 7 6 5 3 3 3 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 1 2 3 2 1 0 0 0 0 0 0 0 32 160 235 140 50 9 0 0 0 1 8 36 87 127 131 103 70 52 60 111 210 340 476 590 653 616 527 437 370 321 268 202 133 80 47 28 18 12 10 13 19 32 56 81 98 112 133 179 261 358 448 516 556 559 424 283 195 174 212 287 376 423 438 449 464 470 449 408 377 380 492 626 717 709 660 679 644 566 450 290 135 37 7 0 1 3 17 58 109 140 125 102
22 21 22 22 22 21 20 16 17 17 16 17 17 17 17 17 17 21 25 26 25 21 15 10 7 6 8 9 11 9 6 5 5 5 5 6 6 5 5 8 7 6 6 6 6 6 6 7 8 10 11 10 8 6 7 8 9 10 11 11 10 9 8 7 7 6 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 2 1 1 2 2 2 1 1 0 0 0 0 0 0 0 69 215 301 176 57 10 0 0 2 10 35 99 128 117 85 54 35 20 15 32 103 236 411 578 680 651 549 455 390 334 268 195 121 68 35 17 7 2 1 1 2 19 41 62 80 96 127 190 273 320 325 324 344 367 345 265 212 199 220 265 313 340 363 385 415 443 438 397 351 333 366 456 616 693 700 696 620 570 507 373 226 111 37 0 0 0 4 16 34 61 82 81
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27 27 27 25 23 21 17 14 15 15 14 16 20 22 21 19 21 24 24 24 25 24 23 17 11 9 8 7 8 6 7 7 6 5 6 8 8 8 8 8 8 6 5 4 6 7 7 7 9 12 15 12 8 7 7 6 7 8 9 10 8 7 6 6 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 1 1 1 0 0 0 0 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 110 123 65 17 0 0 3 14 33 58 76 66 38 24 28 38 47 48 36 20 26 83 203 358 483 534 542 515 467 407 328 237 150 80 36 13 3 0 0 0 1 4 28 50 64 84 118 159 181 159 114 90 95 132 192 253 276 257 222 196 192 215 259 308 354 438 551 538 481 440 318 207 230 372 551 661 657 581 545 510 371 287 143 17 1 0 0 4 17 32 38 28
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18 19 17 16 15 16 15 12 10 12 12 11 13 14 14 14 16 20 22 21 20 20 21 19 15 12 9 7 6 6 7 7 6 8 8 8 8 9 10 10 9 8 9 9 10 10 9 9 10 10 11 10 10 9 8 7 7 8 8 6 5 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 13 42 80 29 6 1 4 17 40 65 66 49 35 22 15 20 29 36 39 35 24 9 2 11 47 141 265 373 456 519 527 454 339 225 131 67 30 13 7 1 0 0 4 16 37 60 72 93 116 136 151 169 193 205 167 120 91 90 106 113 107 91 90 134 212 268 255 259 310 354 449 541 529 437 373 324 259 195 154 145 164 201 252 313 277 170 68 17 5 11 23 20 8 1
15 13 11 13 13 12 11 10 9 11 10 9 9 10 11 12 14 19 23 23 22 20 21 21 18 15 11 8 8 8 8 7 7 8 9 9 9 10 11 12 12 12 13 13 13 13 11 10 10 11 10 11 12 10 8 7 7 8 7 6 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 0 0 0 0 0 0 1 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 3 17 99 198 218 93 22 11 31 56 70 65 42 32 34 34 26 18 16 17 19 17 12 6 2 3 19 75 166 257 344 417 450 416 318 207 118 59 28 15 12 10 7 2 7 20 39 58 72 98 120 127 127 137 161 193 178 141 102 81 82 86 86 79 86 127 184 198 140 83 79 108 163 275 335 310 278 267 244 212 193 186 180 182 222 280 272 184 89 30 13 24 38 35 15 3
12 11 10 11 11 10 8 7 7 8 8 9 10 10 10 11 14 17 18 19 21 22 22 20 20 17 12 8 8 9 11 11 11 11 11 10 11 13 15 15 14 12 11 10 11 12 12 12 12 10 10 10 11 10 8 7 7 7 6 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 1 4 3 0 0 1 2 16 34 36 22 6 1 18 112 296 412 372 198 58 34 63 77 68 47 30 32 35 25 11 5 3 5 9 12 13 13 11 8 11 34 81 136 200 263 307 306 254 177 112 67 40 27 23 25 24 15 14 25 40 55 69 92 107 98 78 67 80 120 163 167 144 118 100 90 82 76 82 102 118 104 63 27 17 35 54 95 122 122 118 133 159 182 205 279 321 301 267 265 210 120 47 12 10 25 46 55 33 9
11 11 11 10 9 8 7 6 7 7 7 7 9 10 11 13 16 17 12 14 18 21 19 17 19 19 18 16 15 15 15 15 13 13 12 11 11 13 14 15 14 12 10 10 11 11 11 11 11 10 9 10 9 9 8 7 7 6 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 5 21 53 111 159 152 100 40 15 59 265 481 536 423 238 93 43 55 58 46 33 28 26 18 3 1 0 0 3 8 12 13 15 16 13 8 14 35 61 105 151 185 197 179 141 108 91 79 65 53 55 63 31 21 28 45 62 71 73 70 56 39 32 45 88 156 186 168 136 99 72 56 47 47 50 47 34 16 2 1 8 18 25 30 33 36 41 53 79 134 246 321 311 246 189 122 58 19 4 5 15 31 52 37 9
10 11 11 9 7 7 7 7 6 6 6 6 7 11 12 13 15 15 13 15 17 17 16 14 15 17 19 21 20 18 17 17 15 14 13 12 13 14 16 15 15 14 13 12 11 11 11 10 10 10 10 10 9 9 8 7 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 1 2 1 3 4 4 2 1 0 0 0 0 31 99 199 295 308 264 192 103 56 103 267 448 430 310 176 86 52 49 45 30 20 14 7 0 0 0 4 3 4 7 7 6 6 7 7 7 12 25 38 72 105 130 140 131 112 97 97 105 109 127 148 141 74 36 32 44 58 67 68 65 61 59 59 75 104 135 138 107 72 45 28 18 14 12 9 6 4 1 0 0 1 2 4 6 6 8 13 23 40 77 158 222 219 163 104 54 18 4 0 0 2 12 32 35 8
11 12 14 10 8 7 7 7 7 5 5 6 9 11 11 12 13 14 15 16 17 18 15 14 16 17 17 17 18 17 16 15 15 15 13 13 13 12 11 12 13 14 14 12 11 10 10 9 10 10 10 9 9 9 8 6 6 5 5 4 4 3 3 3 3 1 1 2 2 2 2 2 2 2 2 2 2 1 2 1 0 0 0 0 0 0 0 5 23 44 69 90 88 65 37 15 1 0 0 5 65 146 242 309 298 253 210 157 122 140 199 264 236 169 111 77 62 50 31 11 5 2 0 0 2 9 18 13 7 3 1 0 0 0 1 4 15 27 39 60 84 101 108 104 92 82 80 96 130 195 220 196 142 74 37 28 30 40 62 97 130 141 110 98 89 72 48 22 10 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 10 19 28 106 166 162 111 55 20 5 1 0 0 1 9 27 44 10
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7 7 7 8 9 7 7 6 5 5 5 6 6 6 6 7 8 10 12 13 12 13 12 12 11 11 10 10 11 11 11 11 11 11 10 9 8 9 8 8 8 9 9 7 8 8 7 7 7 7 7 7 7 7 7 6 5 4 4 4 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 0 0 0 0 0 1 14 72 163 264 311 308 299 294 271 214 170 122 91 71 45 21 9 27 82 138 181 214 238 253 252 223 184 143 97 63 36 16 4 1 3 7 5 10 18 25 26 22 10 2 0 0 0 0 0 0 6 23 37 43 46 51 60 70 80 89 100 115 137 155 160 153 120 68 21 0 0 3 21 66 101 76 23 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 11 62 153 175 133 76 34 13 0 0 0 0 7 29 54 48
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6 7 8 9 9 7 8 9 9 8 7 8 8 8 8 8 7 6 6 7 7 7 7 8 7 8 8 6 6 6 6 6 7 8 8 7 7 6 5 5 6 5 5 6 6 7 7 6 6 6 6 5 5 5 5 4 3 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 1 2 3 2 1 0 0 0 0 0 0 0 0 4 12 23 34 23 8 2 9 27 58 91 56 21 4 4 18 48 75 79 64 46 37 31 18 11 8 9 12 16 19 21 24 27 29 30 30 26 18 12 9 7 4 0 0 0 0 0 0 6 31 47 44 36 31 38 63 111 172 169 110 51 23 15 14 14 14 13 11 8 7 8 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 21 54 67 39 5 1 0 0 0 0 0 0 0 11 33 47
8 9 10 10 9 9 12 12 11 8 8 9 9 8 7 7 6 5 5 5 6 6 7 7 9 9 9 9 7 6 6 6 7 7 8 8 8 7 6 6 6 5 6 7 6 6 6 6 5 5 5 5 4 4 4 3 3 2 2 1 1 1 1 1 2 2 2 1 1 2 2 2 2 1 1 1 1 1 2 4 2 0 0 0 0 0 0 0 0 1 2 6 6 2 0 0 2 19 52 50 19 4 4 17 39 57 52 40 29 22 15 4 1 0 0 0 0 0 1 7 21 31 40 45 43 38 30 16 6 1 0 0 0 0 0 2 11 31 47 46 37 31 38 62 104 154 128 73 35 18 14 17 25 34 40 45 43 31 13 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 15 36 49 51 60 60 17 1 0 0 0 0 0 6 26 46
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11 11 11 12 13 13 12 9 11 11 11 10 8 7 8 7 7 7 6 7 7 8 7 8 8 9 9 8 8 8 8 8 7 6 7 8 8 8 7 7 7 6 6 6 5 5 4 4 4 3 3 3 3 3 3 2 3 2 2 2 2 3 2 2 1 1 1 1 2 2 2 1 1 0 1 2 1 6 20 22 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 25 52 61 35 9 3 16 36 50 53 48 42 32 19 9 4 1 0 0 0 0 0 1 8 41 77 73 55 40 28 14 2 0 0 0 0 0 0 10 22 31 37 43 50 63 88 117 130 122 99 70 47 32 26 26 30 40 57 77 66 40 15 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 2 9 29 69 99 41 9 1 0 0 0 0 0 0
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10 10 11 12 11 10 10 9 9 9 10 9 8 7 6 6 6 6 5 6 7 7 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 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 1 4 2 0 0 5 14 22 25 80 114 112 80 43 20 19 22 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 15 8 3 0 0 0 0 0 0 0 0 0 0 0 0 1 10 38 91 86 43 14 3 4 8 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 1 3 4 2
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14 14 14 14 13 12 12 12 12 12 11 11 10 10 10 10 10 9 10 10 9 9 9 9 8 8 8 8 8 7 8 8 7 6 6 5 5 5 4 4 3 3 3 2 1 1 1 1 2 1 1 1 2 2 3 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 32 60 85 123 158 183 185 146 96 76 74 63 33 3 1 0 0 0 0 0 0 0 0 2 5 2 0 0 2 6 13 17 12 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 2 10 54 101 103
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