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 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 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 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 11 14 16 16 12 7 7 9 9 10 11 13 12 9 7 6 6 6 7 9 11 12 10 8 7 7 7 9 10 12 13 12 11 11 11 11 10 9 9 10 12 15 16 15 11 7 5 3 3 4 6 7 9 10 10 8 6 5 5 7 8 9 9 9 9 9 8 8 7 6 5 6 7 8 9 10 10 10 9 9 9 9 9 10 11 12 12 10 10 11 11 10 9 9 10 nan
nan 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 10 13 15 16 14 10 8 10 11 9 8 8 9 8 7 6 6 6 7 8 9 10 11 10 9 8 7 8 9 10 11 12 11 10 10 9 9 8 7 7 8 10 13 13 12 9 6 4 3 5 7 9 10 11 13 12 9 7 5 5 6 6 7 9 11 12 12 11 9 7 5 6 8 10 10 10 10 9 9 9 10 10 10 11 11 12 14 14 12 10 8 7 6 5 6 8 nan
nan 7 8 8 9 9 10 10 10 10 9 8 8 8 7 7 8 8 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 10 13 16 15 12 10 10 12 10 6 2 1 2 3 5 6 6 6 7 8 9 10 10 10 9 8 8 8 8 8 7 7 8 8 8 8 7 6 5 5 6 8 10 10 9 7 5 4 5 8 9 11 11 12 13 13 10 6 5 5 5 6 7 10 12 13 11 9 7 5 6 9 11 12 11 10 8 7 6 7 9 10 12 13 14 15 16 16 13 10 8 6 5 4 5 7 nan
nan 8 8 8 9 10 10 10 10 9 9 8 8 7 7 6 7 8 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 12 13 12 11 11 12 11 7 1 -4 -6 -3 1 4 7 7 7 8 9 9 9 10 10 9 8 8 7 7 6 5 5 5 6 7 6 6 4 4 4 5 6 7 7 7 6 5 6 8 10 11 11 10 9 10 11 8 4 4 5 5 5 7 9 12 11 8 4 4 5 8 11 12 12 10 8 6 5 5 6 8 10 11 12 14 16 17 17 14 10 8 8 7 5 5 7 nan
nan 8 8 9 9 10 10 10 10 9 9 8 8 7 7 6 7 8 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 6 7 6 6 6 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 10 9 8 10 12 12 9 4 -1 -5 -6 -3 1 5 8 8 8 9 9 8 9 9 10 9 9 8 8 7 6 5 5 5 6 6 6 5 4 4 3 3 4 4 5 5 5 6 7 9 11 12 10 8 6 7 9 8 5 5 6 5 5 5 8 10 9 5 1 3 7 10 11 11 10 9 7 6 5 5 6 8 9 10 11 12 15 17 16 14 11 9 9 8 6 4 6 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 11 11 10 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 12 11 9 7 7 9 12 11 7 4 2 1 -1 -0 3 6 8 9 9 9 8 9 9 10 10 10 9 9 9 8 8 7 7 7 7 7 6 6 5 5 4 3 3 3 3 5 5 6 7 9 11 12 9 6 5 6 8 9 8 7 6 4 3 3 5 8 7 4 2 5 9 11 11 10 9 8 7 6 6 6 7 9 9 10 10 11 13 14 14 13 11 10 8 6 4 4 5 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 10 10 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 11 12 12 10 7 7 9 11 10 8 8 8 7 5 4 4 6 8 8 9 9 9 9 10 11 11 10 10 10 10 11 11 10 9 8 8 8 8 8 8 7 6 4 3 3 4 5 6 6 8 10 12 12 9 6 6 7 8 9 9 7 5 3 1 2 4 6 6 6 7 11 13 12 9 8 8 8 7 7 6 6 7 7 9 10 10 9 9 10 11 12 12 10 8 5 3 4 6 nan
nan 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 8 8 9 8 8 8 7 8 8 7 8 8 9 9 10 10 11 12 12 11 9 8 8 8 8 8 10 10 9 8 7 6 7 8 8 8 9 9 9 10 11 11 11 11 11 12 13 14 13 11 10 10 10 11 11 11 11 9 7 5 4 5 6 7 8 9 12 13 13 10 7 7 8 9 9 9 7 4 2 1 3 6 7 8 10 13 16 16 12 8 6 6 7 9 8 8 6 6 6 8 10 9 6 5 7 10 12 12 10 6 4 2 3 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 6 6 6 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 8 8 7 8 8 8 8 9 10 10 10 10 11 12 12 12 11 9 8 7 6 5 4 5 6 7 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 11 12 14 15 15 13 12 11 11 12 13 13 13 12 9 7 6 6 8 9 10 11 13 13 12 10 9 8 9 10 11 11 9 5 3 4 8 10 11 10 11 13 16 17 13 8 5 4 6 9 9 8 7 6 6 9 10 7 3 4 8 11 12 12 9 5 2 1 3 8 nan
nan 10 10 9 9 9 9 9 9 9 9 9 8 9 10 10 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 10 10 11 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 8 8 9 8 8 7 8 8 9 10 10 11 11 12 12 11 12 12 12 11 9 8 7 6 5 4 3 2 3 5 7 8 9 9 8 7 6 7 8 9 10 10 9 9 9 10 12 14 15 14 12 10 10 10 11 12 12 13 12 10 8 7 8 9 11 12 12 12 12 10 9 8 8 9 10 12 12 10 7 6 8 11 13 11 9 7 8 11 14 13 9 6 5 6 8 9 8 7 7 8 10 9 6 3 5 9 11 12 12 10 7 3 1 4 9 nan
nan 10 10 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 9 10 11 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 10 11 12 13 13 13 13 13 12 12 13 12 11 9 6 4 6 7 8 7 7 7 6 5 7 9 10 9 7 6 7 9 10 9 8 8 8 8 9 11 12 12 10 8 6 7 8 8 9 9 10 10 10 9 9 9 10 11 12 12 11 10 9 8 6 6 6 8 9 9 9 9 9 11 12 11 10 6 3 3 6 10 12 12 10 8 8 8 8 6 4 5 8 10 9 6 4 5 8 10 11 11 11 10 7 4 6 10 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 9 10 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 8 9 10 11 13 14 14 13 13 13 13 13 13 13 13 12 9 5 3 5 9 11 13 13 11 8 5 6 10 11 10 9 8 9 10 10 9 7 6 6 6 7 9 9 8 6 4 4 5 6 7 7 7 8 9 10 11 11 10 10 11 11 11 8 6 7 7 6 5 5 5 4 5 6 9 10 10 10 9 9 5 3 3 6 8 9 10 12 13 13 11 7 3 0 2 7 10 9 6 4 4 6 7 8 9 11 11 9 7 7 10 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 8 9 10 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 11 12 12 13 12 9 5 4 5 9 11 12 12 10 7 6 8 11 13 12 11 11 12 12 10 8 7 6 5 5 5 6 6 5 4 4 5 6 7 8 8 9 9 10 11 13 14 14 12 12 11 9 6 5 6 7 7 6 6 5 4 3 5 9 10 9 8 8 8 7 7 8 9 7 5 5 9 14 15 12 6 1 0 3 7 8 8 6 5 4 5 5 6 7 9 10 9 8 7 9 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 8 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 8 8 9 10 9 7 6 5 7 8 8 6 5 5 7 9 12 13 13 12 12 12 12 11 9 8 7 6 4 4 4 4 5 5 5 6 8 9 10 11 11 12 11 12 13 14 17 17 15 12 11 10 8 6 7 9 10 10 9 8 7 7 9 11 11 9 8 8 9 10 11 11 10 6 3 3 5 10 13 11 6 3 3 5 6 7 7 7 7 7 6 5 4 6 8 9 9 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 6 6 7 8 9 9 9 8 7 7 7 7 8 8 8 7 7 6 6 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 10 8 6 5 4 6 7 7 5 4 5 6 6 4 2 1 4 9 13 15 14 12 10 10 10 10 9 8 7 7 6 5 4 3 4 5 6 7 8 10 10 11 12 12 12 12 11 12 14 16 18 16 13 11 11 10 9 9 10 12 12 11 9 9 10 11 12 11 9 8 9 11 12 12 10 7 4 3 3 4 6 8 9 7 5 5 5 5 5 6 8 9 10 9 6 4 5 7 9 10 10 9 8 nan
nan 9 9 9 9 10 10 10 10 10 10 10 11 12 11 10 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 6 7 7 8 8 8 7 7 7 7 8 8 7 7 6 5 5 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 13 14 15 15 15 15 14 10 6 3 2 2 4 6 6 2 1 3 4 3 2 1 3 7 13 16 16 13 11 8 7 7 7 8 8 8 8 8 7 5 4 5 5 6 8 9 10 10 10 10 10 10 10 10 11 12 14 15 15 13 12 12 11 10 8 9 10 11 9 7 7 9 10 10 9 9 9 11 12 12 10 7 4 4 5 5 4 3 5 8 8 6 5 5 5 5 5 7 10 12 11 8 5 5 8 10 11 11 10 8 nan
nan 9 9 10 10 10 11 11 10 10 11 12 12 12 11 10 9 9 10 10 10 9 9 9 9 9 8 8 7 8 8 8 7 7 7 7 7 7 6 6 6 5 5 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 6 7 8 8 8 7 7 7 8 7 7 6 7 7 8 9 9 9 9 10 12 13 13 13 13 13 13 12 12 13 15 17 19 20 18 16 15 14 10 5 2 1 1 2 4 4 1 -1 2 5 4 3 3 6 10 13 15 13 11 8 5 3 4 6 8 9 9 10 10 9 7 6 6 7 7 7 8 8 8 8 8 8 8 9 10 11 11 12 12 12 12 11 12 12 10 8 7 9 11 9 7 6 7 7 8 8 8 10 11 12 12 9 6 3 4 5 5 4 3 4 7 8 7 7 7 7 7 7 7 9 10 11 9 8 7 8 9 11 11 10 9 nan
nan 10 10 10 10 11 11 11 11 11 12 12 12 11 10 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 7 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 7 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 7 7 7 7 7 6 6 7 7 8 9 9 9 9 11 12 13 13 13 13 13 12 12 13 16 20 23 25 24 20 17 15 13 10 6 4 2 2 2 3 4 4 4 7 10 10 7 7 7 9 10 11 9 8 6 4 4 6 8 10 11 11 12 11 11 10 9 9 9 8 8 7 7 7 7 7 8 9 10 11 12 11 9 8 9 10 10 11 13 13 10 9 10 12 12 9 6 6 6 7 8 8 10 11 12 11 9 6 4 4 3 2 2 3 5 6 7 7 8 10 11 11 10 9 9 9 10 10 10 8 7 8 10 11 10 9 nan
nan 10 10 10 11 11 11 12 12 12 12 12 11 10 9 9 9 10 10 10 9 10 10 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 6 6 6 6 5 6 6 5 5 5 6 6 6 5 6 6 6 6 5 5 5 5 6 6 7 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 13 15 18 22 25 25 22 18 16 14 12 10 9 7 7 6 6 6 6 7 10 13 15 14 11 8 7 7 8 8 7 7 7 7 8 9 11 12 13 13 12 11 11 11 12 12 12 11 10 9 8 8 8 8 9 10 11 12 12 11 7 4 5 8 10 11 14 15 14 12 11 12 12 9 6 6 7 8 9 9 9 10 10 10 9 8 7 6 3 0 0 3 5 6 6 6 8 10 12 12 12 11 11 10 10 10 9 7 7 9 11 11 10 9 nan
nan 10 10 11 11 11 11 12 12 12 11 11 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 6 6 7 7 8 8 8 8 7 7 6 5 5 6 7 8 8 8 9 10 10 12 13 14 14 15 14 13 13 13 15 17 17 18 19 20 19 15 12 10 9 8 8 9 10 10 9 8 8 8 10 12 13 13 12 10 8 7 7 7 8 8 8 9 11 12 13 14 14 14 12 10 10 10 11 12 13 13 13 12 11 10 9 9 9 10 10 11 12 12 11 5 0 2 8 11 13 15 16 15 12 11 10 9 7 6 6 7 8 8 8 9 9 9 10 9 9 9 9 7 4 3 4 5 6 7 8 9 11 11 12 12 11 11 11 11 10 7 6 7 10 12 12 11 9 nan
nan 10 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 6 6 5 5 5 6 7 8 8 9 10 11 14 18 22 24 25 25 24 22 20 19 20 20 18 16 14 14 13 10 6 4 3 3 5 7 8 9 8 7 7 7 8 9 9 7 6 6 7 8 8 8 8 8 9 10 12 14 15 15 14 12 9 7 7 7 9 11 13 13 13 13 12 12 11 10 10 10 10 11 11 12 10 3 -2 1 9 13 15 16 15 13 11 10 9 8 6 6 6 7 7 7 7 8 9 9 10 10 10 11 12 12 10 9 9 9 9 9 10 11 11 11 11 10 9 8 8 8 8 7 7 8 10 13 14 13 11 nan
nan 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 6 6 6 5 5 5 5 6 7 8 9 9 11 15 20 26 32 34 33 30 28 26 23 21 20 18 16 13 11 11 11 9 4 2 2 3 3 4 6 7 7 6 6 5 5 5 6 4 3 3 6 8 8 7 7 8 10 12 14 16 16 13 10 7 5 4 4 5 8 10 10 10 11 12 13 12 11 10 9 9 10 11 12 13 9 2 -2 2 9 14 15 15 13 11 10 9 8 8 7 6 6 6 6 7 8 9 10 11 11 12 13 14 15 16 16 15 14 14 13 12 11 11 11 11 10 8 6 4 4 4 4 4 5 7 10 13 15 14 11 nan
nan 12 12 12 11 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 7 7 8 8 7 7 7 6 6 5 5 5 5 5 5 6 7 8 9 9 10 13 18 23 28 32 33 30 26 23 21 18 16 13 12 10 8 7 8 9 9 6 4 4 5 4 3 4 6 8 8 6 5 4 4 5 4 3 3 5 6 6 6 7 8 10 12 14 15 14 9 6 4 3 4 5 6 7 9 9 9 9 11 13 12 11 9 8 7 8 11 14 15 11 4 1 4 9 12 13 13 11 9 8 8 7 6 5 5 6 7 8 9 10 12 12 13 14 15 15 17 18 19 19 18 17 16 14 13 11 9 9 9 9 7 5 4 3 2 2 2 3 6 10 14 16 14 10 nan
nan 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 6 5 5 4 4 4 5 5 6 7 9 10 10 12 15 18 20 21 22 22 22 20 18 15 12 10 8 6 6 4 3 4 6 7 7 6 7 7 6 5 5 8 10 11 9 7 6 6 6 5 5 5 6 5 4 5 6 8 10 10 10 11 10 6 4 3 4 6 7 9 10 11 10 8 8 10 12 11 10 8 7 7 7 9 13 15 12 7 4 6 8 11 12 12 10 8 7 6 4 3 3 4 6 9 11 12 12 13 14 15 17 17 17 17 18 18 18 17 16 14 13 11 9 7 5 5 6 7 6 5 3 2 2 2 5 8 11 14 14 13 8 nan
nan 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 11 10 10 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 6 6 5 4 3 2 3 4 4 4 4 4 4 4 5 6 7 9 10 11 12 14 16 16 15 13 13 14 16 16 15 13 10 7 6 5 5 5 5 4 5 6 7 8 9 9 8 7 8 10 13 14 12 11 10 9 7 7 7 7 7 6 5 5 6 8 8 6 5 6 6 5 4 5 7 9 13 16 17 16 11 8 8 10 11 11 9 8 8 7 7 6 8 10 10 8 5 5 7 10 11 11 9 6 5 4 4 3 3 5 8 10 12 12 11 11 13 15 16 17 16 15 14 14 14 14 13 12 10 9 7 4 3 3 4 6 5 5 4 3 2 4 7 10 12 13 12 10 7 nan
nan 11 10 10 9 10 11 11 12 11 10 9 9 9 10 10 11 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 9 8 7 6 6 6 7 6 5 4 3 1 0 1 2 3 3 4 4 5 5 5 6 7 8 10 10 11 12 15 15 14 12 10 10 11 12 13 13 11 8 5 3 2 4 7 10 10 7 7 8 10 11 11 11 11 13 15 16 17 15 14 13 11 9 9 9 9 8 8 7 8 9 10 8 5 3 3 5 6 7 8 11 14 19 24 25 20 13 9 9 10 11 11 9 9 9 10 8 4 2 5 9 8 6 4 5 8 9 8 6 4 2 2 4 6 7 8 10 11 11 10 9 9 11 13 13 13 12 11 11 11 11 11 11 10 9 7 5 4 2 2 4 6 6 5 4 2 2 4 7 10 13 13 11 9 7 nan
nan 11 10 10 10 10 11 12 11 10 9 9 9 10 10 10 10 9 9 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 10 9 7 6 5 4 4 5 5 4 3 2 -0 -0 1 2 3 4 4 5 5 6 6 7 8 9 10 10 11 13 14 15 14 12 10 9 9 10 10 9 7 5 2 -2 -4 1 8 13 14 11 9 11 13 13 12 13 15 17 19 19 18 17 16 15 13 11 10 10 10 10 10 11 12 13 13 10 5 2 3 5 7 8 10 13 17 23 27 27 21 13 10 9 10 11 12 12 11 12 12 9 5 3 7 12 12 8 6 6 7 8 6 4 1 0 1 4 9 10 11 11 11 10 9 9 10 11 11 11 10 9 8 8 9 10 10 10 9 8 7 5 4 3 3 4 7 10 9 6 4 2 3 5 9 12 13 11 9 7 nan
nan 11 11 10 11 11 11 11 10 10 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 6 5 3 3 3 3 4 4 3 2 1 1 2 3 4 4 4 5 5 6 7 8 9 9 10 11 12 14 15 16 14 12 10 8 8 8 7 6 5 4 2 -1 -2 3 9 13 13 11 9 11 12 11 12 13 16 18 19 18 17 16 15 14 12 11 10 10 9 9 10 12 15 16 15 11 6 3 3 5 6 7 9 13 17 21 23 22 18 13 11 11 11 12 14 15 15 15 13 10 9 10 15 18 17 13 9 7 6 6 3 0 -2 -1 2 6 10 12 13 12 10 9 9 10 11 12 12 11 9 8 7 7 8 9 10 10 9 8 7 5 4 3 3 5 9 12 14 12 7 3 2 3 7 11 13 13 10 8 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 8 6 4 3 3 2 2 2 3 3 3 3 3 3 4 5 5 4 5 5 7 8 8 9 10 11 13 14 15 16 16 14 11 9 7 6 6 6 5 4 4 4 4 6 9 13 13 12 10 9 8 6 6 9 12 15 17 16 15 14 13 12 11 9 8 8 7 6 7 9 12 16 17 14 10 6 4 3 3 3 5 7 10 14 17 19 17 14 12 12 13 14 15 16 17 17 16 14 12 14 18 22 24 24 19 13 8 5 3 1 -2 -3 -1 3 7 11 13 14 13 10 8 8 9 10 12 12 12 10 9 7 7 7 9 10 10 9 8 7 5 4 3 4 6 9 13 15 13 8 4 2 3 6 9 11 12 11 10 nan
nan 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 9 8 7 5 5 5 4 3 2 2 3 2 3 3 4 5 6 6 6 6 6 7 8 9 10 12 13 15 16 16 15 14 12 10 7 5 4 4 4 5 5 5 5 6 8 11 13 13 11 10 9 6 2 1 5 10 12 13 13 13 11 10 9 7 6 5 5 4 3 4 7 12 16 16 12 7 4 3 3 2 2 3 6 9 13 16 17 14 11 11 13 16 17 17 16 15 14 12 12 13 16 20 23 25 25 23 17 11 7 3 0 -2 -2 -0 3 8 11 14 15 14 10 8 7 7 8 9 11 12 11 10 8 6 6 7 8 9 9 8 7 6 5 4 5 6 8 10 10 9 5 3 3 4 6 8 8 9 10 11 nan
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nan 11 10 10 10 10 11 11 11 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 9 8 7 6 5 5 6 6 5 5 5 6 7 8 8 8 8 8 9 10 13 15 17 18 18 16 15 12 10 7 5 3 1 1 1 1 2 3 4 3 2 4 9 13 14 10 8 9 6 2 0 3 6 8 8 8 9 10 9 6 3 2 2 1 1 2 5 10 15 16 13 7 3 2 1 1 1 1 2 5 9 14 16 15 11 9 10 13 15 15 12 8 6 6 6 7 7 7 8 8 10 11 13 14 13 11 6 1 -1 -1 2 6 11 14 15 14 12 10 8 6 5 5 6 8 9 11 11 10 8 6 4 3 5 6 7 7 7 6 7 7 8 7 5 4 2 2 3 5 7 9 10 10 7 5 5 nan
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nan 7 7 8 9 9 9 8 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 14 16 20 25 29 30 25 18 11 8 7 7 9 11 15 16 16 15 13 12 13 14 15 14 12 10 7 4 3 6 14 21 21 18 14 11 8 6 5 6 8 9 8 7 6 6 7 7 7 7 6 6 6 5 4 3 3 3 4 4 3 4 5 7 10 13 17 20 20 18 16 13 10 8 7 7 8 10 11 10 9 8 9 9 7 6 6 8 10 12 14 15 16 15 14 12 11 9 7 6 6 6 6 6 5 4 3 4 7 9 10 11 10 10 12 13 12 9 6 6 7 10 12 13 14 14 14 12 9 5 2 3 7 11 13 13 9 7 8 11 13 14 14 14 14 14 13 13 13 13 13 13 11 8 6 5 4 6 7 10 12 14 nan
nan 7 7 7 8 9 8 8 7 8 9 9 9 9 8 8 8 7 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 14 16 20 25 28 30 25 17 11 8 7 7 8 11 14 16 16 14 13 13 13 14 15 15 14 11 8 5 5 9 16 20 19 16 12 9 7 6 5 6 6 7 8 7 7 8 9 10 9 9 8 8 7 6 5 5 4 3 2 1 -0 0 2 4 7 11 14 16 16 16 15 14 12 10 8 8 9 10 11 10 9 8 6 5 5 5 7 9 12 14 16 17 16 14 12 11 11 10 9 8 8 7 7 6 5 4 3 4 5 6 7 8 7 8 10 11 11 10 8 8 8 9 10 11 12 12 11 9 5 3 4 6 9 11 12 12 11 9 10 11 13 13 13 12 12 11 11 12 13 14 13 11 7 4 3 4 7 9 11 12 13 13 nan
nan 6 7 7 8 8 8 7 7 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 14 16 19 24 27 27 24 16 9 7 7 7 9 12 15 17 16 14 13 13 13 14 14 13 11 9 7 6 7 11 16 16 13 10 7 6 5 5 5 5 5 6 6 7 8 10 11 11 10 10 10 10 10 9 9 8 7 6 4 1 -0 0 2 4 6 9 11 12 12 13 14 14 14 13 11 9 9 10 10 10 9 9 8 7 7 7 8 9 10 12 14 15 13 11 11 12 13 12 11 9 9 8 7 6 5 5 4 4 5 5 6 6 6 7 10 12 12 11 10 10 9 8 8 8 9 9 8 6 4 5 7 8 9 9 10 11 12 12 12 13 13 13 12 11 10 10 11 13 15 14 11 7 4 2 3 7 12 16 17 15 13 12 nan
nan 6 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 14 16 18 23 27 27 23 17 9 6 7 9 12 15 17 19 18 15 14 14 13 13 12 10 8 6 4 5 7 11 15 14 10 6 4 4 4 6 7 7 7 8 8 10 10 11 10 9 9 9 10 10 11 12 11 11 11 9 7 5 4 3 3 4 5 7 8 8 8 9 11 13 14 14 13 11 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 9 11 13 14 13 10 10 9 9 8 6 5 6 6 7 7 7 8 7 7 7 10 12 12 11 11 10 9 7 6 6 7 7 7 6 6 7 8 8 8 8 10 12 14 15 14 14 14 14 13 11 10 11 13 16 17 14 10 5 2 2 5 10 17 21 21 17 13 11 nan
nan 6 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 15 18 23 28 30 27 19 11 7 8 10 13 16 18 20 19 17 15 14 14 12 11 9 6 4 3 3 6 11 16 16 12 8 6 5 6 8 11 11 12 13 13 13 13 10 8 7 7 7 8 9 11 12 12 11 11 11 11 10 9 7 6 5 6 7 8 8 6 6 7 10 13 15 15 14 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 13 13 12 10 10 12 13 12 10 7 6 7 9 10 10 10 9 8 7 8 9 11 11 10 10 9 7 5 5 5 7 9 10 12 12 11 9 8 7 8 11 14 16 16 16 15 15 14 13 11 10 11 13 16 16 12 7 3 2 3 7 12 19 23 21 16 12 11 nan
nan 6 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 13 14 18 23 29 33 31 22 13 7 7 10 12 15 18 20 20 18 16 15 14 12 10 9 7 4 3 3 6 11 17 19 17 14 10 8 9 11 14 15 15 16 17 16 14 11 9 8 8 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 8 8 9 10 8 6 6 7 11 14 16 16 14 12 11 10 10 11 11 10 10 10 10 11 12 12 12 12 13 13 12 10 9 9 12 13 14 13 11 9 9 10 12 13 12 10 8 7 7 8 9 10 10 10 9 8 7 6 6 8 10 13 16 18 18 16 11 8 6 7 10 13 14 15 16 16 17 16 15 13 12 13 13 12 11 7 3 1 3 6 10 14 18 21 19 15 12 11 nan
nan 5 6 6 7 6 6 6 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 13 14 17 23 30 34 33 24 13 8 6 8 11 14 17 19 21 19 17 15 12 11 10 9 8 6 4 3 5 10 16 19 20 18 15 13 13 14 15 14 14 15 16 16 14 11 11 12 12 12 12 10 9 8 7 7 7 8 10 11 12 12 12 11 10 9 9 10 10 9 8 7 9 12 14 14 13 11 10 10 10 10 10 10 9 9 10 11 12 12 13 12 12 12 11 10 11 12 13 12 11 10 10 11 12 13 13 13 11 9 7 5 6 7 9 10 10 10 9 9 8 8 9 11 13 16 19 21 19 16 11 8 7 7 9 10 11 13 15 17 18 18 17 16 16 14 11 7 3 -0 -0 2 6 10 13 15 17 17 16 14 12 11 nan
nan 4 5 5 6 6 5 5 6 7 9 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 10 10 11 11 11 11 12 12 12 12 13 13 14 16 22 29 33 32 24 12 6 5 6 8 11 14 17 19 19 17 15 12 10 10 10 9 7 5 4 5 8 13 15 17 18 17 16 16 17 16 13 11 10 11 12 11 11 11 13 14 14 13 10 8 7 6 6 7 8 9 11 12 13 13 11 9 7 6 7 9 10 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 12 13 14 13 12 10 10 9 11 13 14 13 12 11 10 8 6 5 7 9 11 11 11 10 9 9 10 11 11 12 13 15 18 19 16 13 9 7 6 7 9 11 12 14 16 17 17 17 16 16 16 12 7 1 -4 -4 1 6 11 13 14 14 14 14 13 12 12 12 nan
nan 4 4 5 5 5 4 4 4 6 9 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 11 11 12 12 12 13 14 14 16 21 28 33 31 24 11 4 4 6 8 11 13 15 17 18 18 16 14 11 10 9 8 7 5 4 5 7 10 12 13 15 16 18 19 19 18 15 11 9 8 8 8 9 9 10 11 11 10 9 7 7 7 8 9 11 11 12 12 12 11 9 6 5 4 4 6 8 10 11 10 8 9 10 10 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 13 15 16 14 12 10 10 11 12 15 15 13 12 10 9 7 5 5 7 11 14 14 12 10 9 10 12 13 13 11 10 9 11 13 12 10 7 4 3 6 11 15 18 19 18 17 14 13 12 12 10 7 1 -4 -6 -2 5 10 13 14 13 11 12 12 12 12 12 12 nan
nan 5 4 4 5 5 4 4 4 5 7 9 9 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 12 13 13 14 16 20 26 32 31 23 12 6 5 7 9 12 15 17 19 20 20 19 18 15 11 9 7 5 4 4 4 5 7 10 12 14 16 18 18 18 18 16 14 11 10 10 9 8 8 7 6 6 5 6 6 6 8 10 13 15 15 13 12 9 7 4 3 3 4 5 6 6 8 8 8 8 8 9 10 10 10 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 13 15 14 12 10 10 10 11 12 14 16 15 13 11 9 7 5 5 9 13 15 15 11 9 9 11 12 12 12 10 8 5 4 6 7 6 5 3 2 5 12 18 22 22 19 16 11 8 8 6 5 1 -4 -6 -5 0 7 12 13 13 12 11 12 12 12 12 12 12 nan
nan 8 6 5 5 5 5 5 4 5 6 8 8 7 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 12 13 13 13 15 20 26 31 32 25 14 8 6 7 10 12 15 17 20 21 21 22 21 18 13 9 7 5 4 3 2 3 5 9 12 15 17 17 16 15 14 13 12 12 12 12 12 11 10 9 7 5 4 4 5 7 10 14 17 19 17 13 9 5 3 1 1 4 7 8 9 8 7 7 6 6 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 12 12 12 13 14 14 13 11 9 10 10 10 9 10 13 16 17 15 11 9 8 7 8 11 12 12 10 7 7 9 10 11 11 11 10 8 5 3 3 5 7 8 8 6 6 10 16 20 21 19 14 8 5 4 4 3 1 -3 -3 -0 4 9 12 13 13 12 11 12 12 12 12 12 11 nan
nan 11 9 6 5 5 6 5 5 5 6 7 7 6 6 6 6 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 12 13 13 13 14 19 26 31 33 28 17 10 6 6 7 9 11 13 16 19 21 22 22 20 16 12 9 8 6 5 4 3 4 8 12 15 16 14 12 10 9 9 8 9 10 12 13 13 13 12 11 9 7 7 9 11 13 16 17 17 15 10 4 1 0 3 5 9 11 12 12 11 9 7 6 6 6 7 8 9 10 11 11 11 11 11 12 12 11 11 11 11 11 12 12 13 12 11 10 10 12 11 10 8 8 12 16 18 17 14 11 10 11 12 11 9 6 2 2 5 9 11 11 12 12 11 8 6 5 6 9 12 14 13 10 8 10 14 18 20 18 12 7 4 4 4 4 4 3 3 6 9 12 14 13 12 11 11 11 11 11 11 11 11 nan
nan 15 11 9 7 6 6 6 6 6 6 7 7 7 6 5 6 7 8 8 8 8 7 7 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 11 12 12 13 13 14 17 24 31 33 31 19 9 6 5 5 6 8 9 12 15 18 21 22 22 20 17 15 13 12 10 8 6 5 8 12 14 14 11 8 7 7 7 7 7 8 9 11 12 12 13 12 11 9 9 11 13 15 15 14 12 10 6 2 1 3 9 15 16 15 13 12 11 10 8 7 7 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 9 10 12 13 14 11 8 6 7 11 14 17 18 16 13 10 9 10 9 6 3 0 1 5 9 11 14 15 14 12 8 5 5 7 10 13 15 14 12 11 14 17 20 20 16 10 6 5 5 6 6 7 8 9 12 13 14 14 13 12 11 10 10 10 10 9 10 11 nan
nan 19 15 11 9 7 6 6 6 6 6 7 7 7 7 6 5 6 7 8 8 8 8 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 12 13 13 14 18 23 31 34 31 20 10 6 4 4 5 7 9 11 13 15 18 19 19 19 18 17 16 14 13 11 9 9 11 13 14 14 11 9 9 9 10 10 10 9 8 7 8 8 9 9 9 10 10 11 12 13 14 12 9 6 4 3 4 8 14 19 18 15 12 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 10 13 14 14 10 6 5 7 10 12 13 13 14 11 6 4 5 7 8 7 4 3 6 10 13 16 18 16 12 7 4 4 5 6 7 9 11 12 14 17 20 21 19 13 8 6 6 6 8 8 10 11 13 14 14 14 13 12 12 11 11 10 9 8 8 9 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
26 29 29 34 36 35 35 37 38 30 25 29 38 45 48 49 47 45 47 50 43 26 25 23 19 14 11 10 11 11 10 7 7 7 8 7 6 6 6 6 7 8 10 11 13 16 17 19 20 20 20 21 21 19 20 20 17 15 15 15 15 17 17 16 13 11 12 14 11 9 8 8 7 6 5 6 5 5 4 4 5 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 9 74 225 349 306 159 48 5 0 0 0 1 34 381 1173 1805 1764 1218 689 344 161 76 80 139 186 197 195 184 148 115 94 82 108 178 261 320 371 454 507 465 363 285 263 244 218 199 149 127 138 158 223 429 731 899 891 960 996 907 767 741 865 1023 955 772 687 667 660 659 631 585 551 534 521 504 480 460 457 463 465 493 511 510 488 449 410 395 500 360
35 33 28 32 34 34 36 37 34 28 25 32 40 44 47 49 49 49 54 54 42 28 24 21 16 11 10 10 9 8 8 7 6 7 7 6 5 6 6 6 6 7 8 9 9 13 14 15 16 17 18 18 18 18 19 18 17 17 16 15 15 15 14 13 12 13 14 13 11 9 8 7 7 7 6 5 4 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 2 2 2 2 2 2 2 1 0 0 0 28 133 287 372 297 127 22 0 0 0 0 0 0 4 330 685 693 456 215 66 9 1 16 45 69 82 86 83 72 63 67 72 119 195 263 307 349 416 424 364 299 261 242 213 178 181 120 94 110 155 296 553 790 872 854 890 901 864 828 847 898 954 903 733 652 630 629 616 569 520 489 476 461 427 379 342 339 369 416 485 539 550 502 415 321 246 228 179
31 29 27 29 32 32 34 35 31 24 22 28 42 38 42 46 49 49 52 53 40 26 20 17 12 9 9 9 8 6 6 7 6 6 6 5 5 6 6 6 6 6 6 7 8 9 10 12 15 15 15 15 16 18 18 16 16 15 15 15 15 14 13 14 15 18 18 16 13 14 13 8 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 3 73 172 293 324 211 65 2 0 0 0 0 0 0 0 17 89 107 67 20 2 5 16 41 66 74 76 76 74 70 70 78 73 85 144 220 282 323 339 312 265 239 228 211 173 133 134 97 106 149 282 521 736 798 732 695 718 755 832 919 938 877 807 739 645 613 593 566 524 474 437 422 414 391 343 286 243 236 282 379 464 537 543 466 352 227 119 62 52
28 27 28 31 33 31 29 29 27 22 20 24 36 27 38 45 46 47 49 47 35 21 17 13 10 9 9 9 7 6 5 6 6 8 9 5 5 5 5 6 6 6 7 7 7 8 9 10 12 11 11 12 13 15 16 15 14 15 17 16 14 13 13 15 18 23 23 20 18 21 21 12 7 6 5 5 5 4 4 4 3 3 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 0 0 0 2 18 109 153 225 207 101 10 0 0 0 0 0 0 0 0 0 0 0 0 2 8 23 46 71 84 79 74 72 73 74 78 84 77 59 107 186 249 274 265 235 211 215 229 212 157 106 94 105 202 304 555 763 792 664 516 478 546 679 867 1009 986 830 683 639 635 633 584 512 444 399 378 374 365 324 252 184 145 152 224 357 475 529 508 416 311 193 84 25 10
26 28 30 33 34 31 26 26 25 22 20 22 29 38 41 43 42 45 48 42 29 17 17 11 10 9 9 8 7 6 5 5 6 9 9 6 5 5 6 6 6 6 6 6 6 6 6 6 5 6 8 9 10 11 13 13 14 14 20 16 16 15 14 15 17 24 27 22 15 10 7 7 8 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 5 30 96 111 125 93 36 0 0 0 0 0 0 0 0 0 0 0 0 2 10 26 46 63 69 70 68 71 75 81 84 85 83 79 64 88 151 199 216 209 186 166 189 204 170 105 59 55 136 363 533 733 734 599 434 325 324 438 653 908 1040 941 766 645 619 639 626 526 425 365 345 347 346 324 275 205 145 115 124 200 334 460 536 500 409 409 296 133 33 7
26 29 32 34 36 37 32 27 24 21 18 18 19 24 32 38 41 45 47 37 24 18 18 11 11 10 8 7 7 7 5 4 5 6 7 6 6 6 6 5 5 4 4 4 3 4 5 5 4 5 6 7 8 9 10 11 12 13 17 16 20 21 19 16 16 21 24 17 11 8 10 10 6 6 6 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 0 0 0 0 7 35 90 132 98 41 9 0 0 0 0 0 0 0 0 0 0 1 3 10 25 47 66 73 69 66 68 76 84 92 94 88 82 81 79 77 98 124 142 146 130 104 93 104 85 50 34 37 102 264 437 500 413 304 251 244 272 366 594 912 1068 861 666 580 552 532 496 392 310 281 282 290 289 270 234 194 171 162 165 227 356 510 633 627 385 209 146 100 49 18
29 32 35 36 35 42 38 30 23 19 15 15 17 24 30 37 42 42 41 29 19 18 16 11 10 9 7 6 6 6 5 4 4 4 5 5 5 5 5 4 4 3 2 2 2 3 3 3 3 3 4 5 6 7 7 8 9 10 13 16 22 24 22 17 13 11 13 10 8 7 6 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 1 2 2 1 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 0 0 0 1 15 51 130 194 144 48 6 0 0 0 0 0 0 0 0 0 0 3 11 24 43 71 93 98 88 80 79 85 91 99 101 94 85 81 82 78 68 73 80 71 51 30 22 16 18 26 31 37 68 118 150 168 136 123 162 212 247 306 471 743 833 510 345 339 349 327 300 250 215 218 228 234 233 224 209 203 222 251 257 320 458 632 736 631 336 112 42 38 38 25
33 34 35 35 35 39 39 30 22 16 14 15 17 23 29 41 43 37 31 22 17 18 13 10 9 8 6 7 6 5 5 5 6 7 7 5 5 4 3 3 3 2 1 1 1 2 2 2 2 2 3 3 4 5 5 6 8 11 17 23 26 24 23 18 14 11 10 9 8 7 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 0 0 1 10 39 81 160 195 134 44 0 0 0 0 0 0 0 0 0 0 3 11 25 46 76 117 154 160 139 115 100 97 101 109 112 105 93 84 80 78 75 77 76 57 38 20 7 0 1 8 22 31 44 65 77 68 65 82 133 197 239 257 314 406 304 110 72 132 160 149 139 145 159 180 192 194 198 202 207 232 286 358 370 419 493 553 523 359 185 95 55 48 38 21
30 33 34 34 36 36 33 25 18 15 15 16 18 20 27 45 49 39 28 22 19 18 11 9 8 7 6 7 6 5 5 6 6 6 6 4 5 4 2 2 2 1 1 1 0 1 2 2 2 2 2 2 3 4 5 7 10 18 30 35 35 30 21 16 14 11 10 9 8 7 6 6 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 8 35 63 80 96 89 54 16 0 1 0 0 0 0 0 0 1 4 14 30 53 88 139 203 261 271 224 168 132 118 119 127 133 126 109 93 84 83 85 88 80 55 35 18 6 0 0 1 7 20 28 38 41 33 32 58 124 210 250 221 180 133 36 3 3 46 61 61 69 97 130 150 160 171 182 198 224 275 365 461 431 410 401 387 336 255 196 170 141 110 61 28
32 33 34 34 34 31 25 20 17 15 16 19 24 26 30 39 50 44 29 22 19 15 10 9 9 7 6 5 4 5 6 7 6 5 4 4 5 3 1 1 1 1 1 1 0 1 1 1 1 2 2 2 3 4 6 9 15 25 35 38 35 28 21 16 15 16 11 8 7 7 6 6 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 0 0 0 1 23 59 65 41 24 15 5 0 9 22 18 8 1 0 1 4 8 18 35 63 105 165 242 323 384 388 305 215 169 154 158 169 179 173 140 111 98 96 96 91 74 45 22 5 0 0 0 0 1 8 14 17 13 5 8 39 114 219 236 151 69 21 1 0 1 18 25 38 62 89 108 111 105 114 154 198 225 293 419 507 440 346 312 327 336 315 282 264 238 138 72 43
32 35 38 38 37 29 23 19 18 17 18 23 34 44 40 36 37 33 19 21 19 14 11 11 11 10 7 5 4 5 5 6 6 4 4 5 5 3 1 1 1 0 0 0 1 0 1 1 2 2 2 3 3 5 7 12 18 22 23 23 20 16 14 12 11 12 9 7 7 6 5 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 0 0 1 5 44 83 75 24 5 1 0 9 76 155 151 34 2 2 8 17 28 45 73 111 169 262 368 451 481 443 340 247 219 217 230 248 259 246 203 157 135 124 114 101 78 46 21 4 0 0 0 0 0 0 1 2 2 3 16 54 122 203 186 70 18 7 5 2 0 4 15 40 72 93 93 78 67 83 128 165 173 241 373 469 427 312 268 297 334 346 345 353 342 120 63 48
33 39 42 41 36 28 24 21 22 21 20 24 31 31 33 32 29 24 18 22 17 13 13 12 11 9 7 5 6 5 5 5 4 3 3 4 3 1 0 1 0 0 0 0 0 0 0 1 1 2 2 3 3 4 7 11 14 13 10 9 10 8 8 7 6 5 5 5 6 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 1 1 0 1 4 28 81 132 123 64 14 0 0 70 266 432 337 36 2 8 23 46 63 83 113 151 211 316 451 549 553 470 365 302 289 293 309 329 341 329 290 241 201 170 144 119 89 55 31 27 22 7 1 1 2 4 10 16 18 22 40 71 108 132 100 26 22 33 38 28 9 2 15 39 62 76 78 72 67 72 78 82 89 138 265 387 390 300 228 236 285 361 483 625 617 223 79 49
40 45 42 35 31 30 28 23 19 22 21 25 31 35 32 28 20 22 24 21 15 12 12 10 8 7 6 4 4 5 5 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 6 7 7 6 6 6 5 5 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 1 0 0 2 16 66 123 153 121 63 15 0 11 164 444 555 295 7 6 24 56 87 95 105 123 153 208 297 439 586 633 553 433 357 328 316 321 336 354 361 348 312 263 218 178 140 102 67 45 43 33 23 10 11 17 25 37 48 47 39 34 38 46 47 30 27 44 50 43 25 8 1 5 13 24 42 64 83 85 66 31 24 30 61 161 263 293 258 211 193 220 318 508 648 645 528 227 89
43 45 38 30 32 34 34 27 18 23 24 33 37 35 30 24 14 22 22 17 13 11 11 10 8 7 6 5 4 6 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 4 4 4 4 4 3 2 3 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 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 1 0 0 5 37 100 138 106 43 9 1 0 20 126 303 293 105 3 24 65 109 118 104 100 104 120 157 227 349 522 638 582 440 319 268 252 272 282 303 330 346 338 304 256 200 147 106 78 69 71 48 35 30 33 41 54 64 61 38 13 3 4 7 10 19 42 53 45 26 10 2 0 0 1 3 17 47 72 74 46 5 0 2 22 84 150 191 211 222 208 177 212 388 584 701 685 420 144
49 43 36 30 31 35 38 28 24 29 29 37 38 33 28 24 19 22 15 12 13 14 14 14 12 8 8 6 5 6 4 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 4 3 3 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 1 0 0 0 0 6 49 104 114 64 17 3 0 0 4 15 22 1 2 13 61 116 139 117 90 83 83 88 105 148 231 353 446 393 270 188 182 216 264 279 291 310 332 343 322 273 206 148 120 111 104 90 72 52 50 52 59 66 65 50 23 7 7 5 5 13 26 39 44 41 30 22 14 5 0 0 0 3 18 31 30 18 4 0 0 5 49 112 165 211 254 257 123 104 123 286 435 420 292 151
45 39 35 33 31 32 34 27 24 32 34 28 23 22 23 24 23 18 10 10 16 16 16 14 12 8 8 6 5 5 5 5 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 3 3 2 2 2 2 2 1 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 6 53 95 95 54 14 1 0 0 0 0 0 2 9 38 95 127 120 89 68 65 71 74 79 95 133 188 229 187 120 108 162 237 293 314 323 320 322 329 316 276 226 192 179 173 150 124 95 72 69 71 70 62 49 34 24 20 18 8 7 11 16 25 37 44 39 28 18 11 4 0 0 0 0 5 6 7 9 7 3 0 23 68 117 179 282 349 134 88 75 81 97 130 150 158
42 36 33 32 30 30 32 31 21 39 36 29 23 19 20 19 16 12 9 11 14 14 11 9 8 7 8 8 5 5 5 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 4 4 3 3 2 2 1 2 1 1 1 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 3 3 3 5 18 57 86 89 64 30 7 0 0 0 1 6 18 38 72 103 100 80 60 51 55 62 65 66 67 75 95 108 71 52 72 125 194 241 249 240 233 244 262 268 261 252 253 244 243 171 143 127 111 98 90 74 53 34 21 15 15 10 1 1 2 3 13 30 39 36 22 10 3 1 0 0 0 0 0 4 10 12 9 4 3 6 18 43 94 206 285 148 69 57 59 72 87 108 139
38 35 34 35 31 33 44 47 40 45 34 28 24 20 17 15 11 9 9 11 12 11 8 6 5 6 8 9 6 3 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 3 3 2 1 2 2 2 2 1 1 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 2 3 4 10 27 39 53 74 71 44 14 0 0 0 6 24 50 76 86 74 60 51 46 49 56 61 62 58 50 41 38 34 20 23 33 55 98 118 111 96 98 133 189 232 249 230 192 161 180 101 106 125 124 104 83 63 46 35 21 7 0 0 0 0 0 0 5 17 27 25 13 2 0 0 0 0 0 0 0 0 0 0 1 4 6 5 2 10 35 104 160 146 106 65 48 45 52 65 85
40 36 35 37 33 33 46 55 49 35 27 22 21 20 17 12 8 9 9 11 12 10 8 6 6 6 7 8 7 3 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 3 4 3 3 2 2 1 0 1 1 2 2 2 2 1 1 2 2 3 2 2 2 2 2 2 2 2 1 1 2 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 3 7 13 29 31 20 6 0 0 0 14 45 73 81 64 41 38 41 48 60 69 71 62 45 30 17 9 6 6 6 7 12 28 32 27 26 45 100 193 270 309 229 108 31 25 33 43 57 67 64 50 34 28 30 21 7 0 0 0 0 0 0 1 6 11 10 2 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 2 9 11 49 117 167 156 84 43 37 45 52 57
40 34 37 41 42 36 35 35 30 26 20 16 17 21 18 12 8 8 8 11 11 11 8 7 7 7 7 7 6 5 5 5 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 4 3 2 2 1 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 4 9 3 1 0 0 0 0 3 17 49 62 53 38 33 36 41 53 68 72 61 40 19 9 3 1 0 0 0 0 1 3 4 3 7 29 82 173 272 281 140 41 4 0 0 0 8 17 20 14 7 7 11 10 3 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 6 2 17 89 168 181 102 31 19 27 38 43
38 31 43 51 51 45 37 32 26 25 16 15 20 23 20 13 8 7 9 10 11 15 13 12 11 10 9 8 7 6 6 6 5 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 8 19 19 17 13 7 3 0 0 0 0 0 0 0 0 2 10 25 29 13 2 0 0 0 2 7 19 37 38 38 40 39 34 31 38 49 43 26 9 2 1 0 0 0 0 0 0 0 0 0 0 3 18 59 135 230 229 56 7 1 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 1 0 8 47 89 93 52 10 0 4 13 18
39 38 43 39 45 42 35 29 27 24 16 18 19 17 15 11 7 7 9 10 12 17 17 11 10 11 10 7 7 5 5 6 5 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 6 6 5 3 1 1 2 0 0 0 0 1 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 1 1 1 1 0 4 18 47 57 53 41 25 12 4 1 7 11 8 3 0 0 7 42 51 40 20 4 0 0 0 6 15 22 24 23 23 26 22 15 9 11 15 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 39 102 167 153 16 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 1 9 11 8 3 0 0 0 0 1
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