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 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 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 8 8 8 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 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 12 14 15 12 8 7 8 8 8 9 10 9 7 6 5 6 8 10 11 12 11 9 7 5 5 5 6 7 8 9 9 9 8 9 9 8 8 10 13 16 17 16 12 9 6 4 3 4 5 6 7 8 9 9 8 5 5 6 8 9 9 9 9 8 8 8 8 7 6 5 6 8 10 11 11 11 10 9 9 9 9 10 10 11 12 13 13 12 11 9 7 6 6 8 nan
nan 7 8 8 8 8 8 8 8 8 9 8 8 8 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 11 13 14 13 10 8 8 9 9 8 9 10 11 10 7 6 6 7 9 11 12 11 9 7 5 4 5 6 7 9 11 12 12 11 10 9 9 9 11 13 15 15 14 10 7 4 3 4 5 7 8 9 10 10 10 8 6 6 7 8 8 8 8 9 10 11 11 10 8 7 6 7 10 11 11 11 10 10 9 10 10 11 11 12 13 14 14 12 10 8 6 4 3 4 7 nan
nan 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 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 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 11 13 13 11 10 9 10 9 7 5 7 9 11 10 8 6 6 7 9 11 12 11 9 7 6 5 5 6 7 9 11 12 12 11 10 9 9 8 9 10 13 13 11 8 5 4 4 6 7 9 10 10 10 11 11 9 7 6 6 6 6 7 8 10 12 12 11 10 8 8 9 10 11 11 10 8 7 7 8 9 10 12 13 14 15 16 15 11 8 7 6 4 3 3 6 nan
nan 7 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 8 8 8 8 8 8 8 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 8 8 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 9 9 10 10 11 10 10 10 11 10 8 4 1 2 6 9 9 8 6 6 8 10 11 12 11 10 9 8 7 7 7 8 8 9 10 10 10 9 8 7 6 6 7 9 9 8 6 5 5 6 8 9 10 10 9 8 9 10 8 5 5 5 6 5 6 7 10 12 11 8 7 8 9 11 11 10 9 8 6 5 5 7 9 11 12 13 14 16 16 14 11 8 7 7 6 4 4 6 nan
nan 8 7 8 8 8 9 9 9 9 8 8 8 8 9 9 10 9 9 8 8 8 8 9 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 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 9 9 9 10 10 9 8 7 9 11 11 9 6 2 -1 -1 3 8 9 9 8 8 9 10 11 12 12 11 11 9 9 8 8 8 7 7 8 8 8 8 7 6 5 4 5 5 5 5 5 5 5 6 8 10 11 9 7 6 7 7 7 5 5 5 5 4 4 6 10 12 9 5 5 8 11 11 10 9 8 7 6 5 6 8 10 11 11 11 12 13 13 12 10 9 9 8 6 4 4 6 nan
nan 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 8 9 9 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 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 8 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 8 8 7 7 7 8 8 8 9 9 9 10 11 11 9 7 6 9 12 11 9 6 4 1 0 3 7 9 9 8 8 9 10 10 11 12 11 11 10 10 9 9 8 7 7 7 7 8 8 7 6 5 4 4 3 3 3 4 4 5 7 9 11 12 9 6 5 6 7 8 8 7 6 4 2 2 5 8 9 7 4 6 10 11 10 9 9 8 7 6 6 7 8 10 11 10 9 7 8 9 9 9 9 9 8 5 3 3 5 nan
nan 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 12 12 10 7 7 9 11 10 10 10 8 6 4 4 7 9 9 9 8 9 9 10 10 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 6 4 3 2 2 3 4 6 7 10 12 12 9 7 6 7 8 9 9 8 6 3 1 1 3 6 7 6 7 11 12 11 9 8 8 8 8 7 6 6 7 9 10 9 6 3 4 7 9 10 10 9 7 4 2 3 6 nan
nan 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 9 9 9 9 8 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 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 11 11 12 10 9 8 9 9 9 10 10 9 8 6 6 7 9 10 10 9 9 9 8 9 10 10 10 9 9 10 10 11 10 9 9 8 8 9 9 10 9 8 6 4 3 4 5 6 7 9 12 13 12 10 7 7 8 9 9 9 8 6 3 2 2 4 6 7 9 11 15 15 11 8 6 6 8 9 8 7 6 5 6 8 8 4 1 3 7 10 11 11 10 7 4 2 4 7 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 7 7 7 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 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 11 9 9 8 7 6 6 6 6 7 7 8 9 10 11 10 9 8 7 7 8 10 10 9 8 8 9 10 11 11 10 9 9 9 9 10 11 11 11 9 7 6 6 7 9 10 11 13 13 11 10 8 8 9 10 11 11 9 7 4 4 6 8 9 9 10 12 14 15 13 8 5 5 7 9 9 8 6 5 6 8 8 3 -0 2 7 9 11 11 10 8 5 3 5 10 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 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 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 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 12 12 11 10 9 8 7 6 5 3 2 3 5 7 9 10 10 10 8 7 6 6 7 8 9 10 9 8 7 8 10 11 10 10 9 9 9 9 10 11 12 12 11 9 8 8 9 10 12 12 12 11 10 8 7 7 8 10 12 13 11 8 6 7 10 11 10 8 7 7 10 13 13 10 7 6 7 8 8 8 7 6 8 9 7 3 -0 2 6 9 10 10 10 8 5 5 7 12 nan
nan 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 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 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 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 13 13 13 13 13 12 11 8 5 5 7 7 5 5 5 5 6 8 10 11 9 6 4 5 6 7 9 9 9 8 7 7 8 10 11 11 10 9 9 9 9 9 10 11 11 11 9 9 9 9 11 12 12 10 9 8 7 6 5 6 7 9 11 11 10 9 9 10 10 9 6 3 3 6 10 12 12 10 9 8 8 8 6 5 5 8 9 7 2 -0 2 5 8 9 9 8 7 5 6 8 12 nan
nan 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 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 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 12 13 14 14 14 13 13 11 7 4 5 8 10 10 10 8 6 4 7 10 11 9 6 4 5 7 9 9 9 9 8 7 7 8 10 11 12 11 9 8 8 8 8 8 9 9 9 10 10 10 10 11 11 10 7 6 6 6 5 4 5 5 5 6 7 9 10 10 9 8 8 6 3 3 5 7 9 10 12 14 13 11 8 5 2 3 7 9 6 3 1 3 5 7 8 7 7 6 6 6 8 11 nan
nan 9 10 11 11 11 10 10 10 10 9 9 9 9 10 10 9 10 10 10 9 9 8 8 8 8 8 9 8 8 8 7 7 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 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 10 10 10 9 9 9 10 12 13 13 13 12 11 8 5 4 6 9 10 10 10 8 5 4 7 10 12 10 7 6 7 10 11 10 9 8 7 6 6 7 10 11 11 10 8 7 7 7 7 7 8 8 9 11 13 13 13 12 11 9 6 4 5 6 6 6 6 6 5 4 5 9 10 9 7 7 8 6 6 7 8 7 5 5 9 15 16 13 8 4 2 3 6 8 7 6 5 5 5 5 6 6 6 6 6 7 8 9 nan
nan 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 11 11 10 9 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 9 9 11 11 11 10 10 8 5 3 5 7 10 9 6 5 4 5 7 8 10 10 9 8 8 10 11 12 10 9 8 6 5 4 6 8 9 9 8 7 6 6 7 8 8 9 9 11 13 16 17 16 13 11 9 7 6 6 8 9 10 9 8 7 6 8 10 11 8 7 7 8 9 10 11 9 6 3 2 5 11 14 13 8 4 3 3 5 6 7 8 7 6 5 4 4 5 6 7 8 9 9 10 nan
nan 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 10 10 9 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 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 9 8 8 8 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 11 9 8 7 7 8 8 7 3 1 4 7 8 6 3 1 3 7 9 11 10 9 9 9 10 11 12 11 9 8 7 6 4 4 4 6 7 7 6 6 7 7 8 9 10 11 11 12 14 17 18 17 13 11 10 10 9 9 9 11 12 11 10 9 9 10 12 11 9 8 9 10 12 13 12 8 4 1 1 3 6 10 11 9 5 3 3 4 5 6 8 9 9 7 5 3 4 7 9 11 12 11 10 nan
nan 11 11 12 11 11 10 10 9 9 9 9 10 10 10 9 10 10 10 10 9 9 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 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 12 13 14 14 15 15 15 12 8 5 3 3 5 7 7 2 -1 2 4 4 3 1 1 5 9 11 11 10 10 9 10 10 11 11 9 8 7 7 6 5 4 5 6 6 7 7 7 8 8 9 10 11 12 11 11 12 14 15 15 13 10 10 11 10 9 9 10 10 9 7 7 9 10 11 10 9 10 11 12 13 13 10 6 3 2 3 3 4 6 9 9 6 5 4 4 5 5 7 10 11 10 7 5 5 7 10 12 12 11 10 nan
nan 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 11 12 11 11 11 12 14 15 17 18 18 16 16 14 11 6 2 1 0 2 5 6 4 1 2 4 3 2 1 3 6 9 11 11 10 10 9 9 9 10 9 8 7 7 7 7 7 6 6 7 7 7 7 8 9 9 9 10 11 11 11 10 10 11 12 12 11 10 11 12 11 9 7 8 8 7 6 6 7 8 8 8 9 10 12 14 14 12 8 4 2 3 4 3 2 4 7 8 7 6 7 7 7 6 7 9 10 10 9 8 7 7 9 11 12 11 9 nan
nan 11 11 11 11 10 9 9 9 10 10 10 10 10 9 9 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 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 11 11 11 10 10 11 14 17 20 22 22 19 17 15 13 10 6 4 2 2 2 4 6 7 6 7 9 7 5 4 5 7 8 10 10 10 9 8 7 7 8 9 8 8 9 9 9 8 7 8 8 8 7 8 8 8 9 9 9 10 10 10 10 9 9 8 8 9 9 10 13 12 10 8 8 9 9 8 6 5 6 7 8 9 10 12 13 13 10 7 4 3 2 2 1 2 3 5 6 6 7 8 9 9 9 8 8 8 9 9 9 7 6 8 11 12 11 9 nan
nan 11 11 10 10 10 9 9 10 10 10 10 10 10 10 9 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 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 10 12 13 16 19 22 22 20 18 16 14 12 10 9 8 8 7 6 7 8 10 11 12 13 12 9 7 6 6 8 9 10 10 10 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 7 4 4 6 8 9 13 14 12 9 9 10 12 11 8 5 5 6 8 8 9 10 11 11 9 7 6 5 3 0 0 1 3 4 5 5 7 9 10 11 11 10 10 10 10 10 9 7 7 9 11 11 10 8 nan
nan 10 10 10 9 9 10 10 11 11 10 10 10 10 10 10 9 8 8 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 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 9 9 8 9 9 9 9 10 10 10 10 12 14 15 15 15 16 17 16 14 12 11 9 8 9 10 11 12 11 9 8 9 10 11 12 12 12 10 8 7 7 8 9 10 11 12 12 12 12 12 12 12 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 6 1 1 4 7 10 13 15 14 11 10 11 12 10 7 5 6 7 7 8 8 9 10 10 9 9 8 8 6 3 2 2 3 4 5 6 8 9 11 11 12 12 12 13 12 12 11 9 9 10 11 11 9 7 nan
nan 10 9 9 9 10 10 11 11 10 10 10 10 11 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 9 9 10 10 10 10 9 9 11 13 15 17 18 18 18 17 17 17 18 18 16 14 13 12 12 9 6 4 3 4 5 8 10 10 10 8 7 7 8 9 9 9 9 9 9 9 9 9 10 11 13 15 16 16 16 15 13 12 11 10 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 5 -1 -0 5 9 12 14 16 15 13 11 11 10 8 6 5 6 6 7 7 8 9 9 10 10 9 9 9 8 7 6 6 6 6 7 8 9 10 11 12 12 13 13 13 12 12 11 10 10 11 11 11 9 7 nan
nan 9 9 9 10 11 11 11 10 9 9 10 11 11 10 9 9 9 8 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 10 10 12 15 19 24 26 25 23 22 22 21 19 19 17 15 13 11 11 11 8 3 1 1 3 4 5 7 7 7 7 6 5 4 5 7 7 7 7 9 10 10 10 10 11 13 16 18 18 16 13 11 9 8 8 8 9 11 12 11 10 10 10 10 11 11 10 9 9 9 10 12 12 10 5 -0 1 7 11 14 16 17 16 13 11 9 8 6 5 4 5 5 6 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 11 10 8 7 7 8 10 12 12 10 7 nan
nan 9 9 10 11 11 11 10 9 9 9 10 11 10 10 9 9 9 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 10 9 9 9 10 10 11 11 11 11 11 10 11 14 18 22 25 27 24 20 18 18 17 16 14 13 11 9 9 9 10 8 4 3 3 4 4 3 4 6 8 8 6 4 4 5 7 6 6 7 8 9 9 9 9 10 12 14 16 16 14 10 7 5 5 5 6 8 10 12 12 11 10 10 11 11 11 9 8 6 7 9 12 14 12 7 3 4 8 11 14 16 16 15 11 8 6 5 4 4 4 5 5 7 8 9 9 9 10 11 12 13 14 14 15 15 15 15 14 13 11 10 9 9 9 9 9 8 7 5 3 2 3 6 10 13 13 11 7 nan
nan 10 10 11 11 11 10 9 9 9 10 11 10 10 9 9 9 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 10 9 8 8 9 10 11 11 11 11 11 10 10 12 14 16 18 20 20 18 15 13 12 11 10 9 7 6 5 5 5 7 7 6 5 5 5 4 3 4 7 10 10 8 7 6 7 7 7 7 7 8 8 8 7 8 9 10 10 11 12 11 7 4 3 3 3 5 7 10 12 12 10 10 11 12 12 11 9 6 5 5 7 11 15 14 10 6 6 8 11 14 16 14 11 7 5 3 1 2 4 5 6 8 10 11 12 12 12 14 15 16 17 17 18 18 18 17 15 14 12 10 8 6 5 6 6 5 4 2 0 -1 -1 1 6 10 13 14 12 7 nan
nan 11 11 11 11 11 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 10 9 9 9 9 9 8 8 7 7 8 8 9 10 11 11 11 11 10 11 11 12 12 13 14 15 14 12 10 8 7 6 6 5 5 5 5 5 6 7 7 7 7 6 5 5 7 10 13 13 11 10 9 9 8 7 8 9 8 7 6 6 6 8 8 6 6 7 8 6 4 4 4 5 7 10 13 13 11 9 9 11 12 12 10 8 6 5 5 5 8 11 13 11 8 7 8 11 13 13 11 7 4 3 2 1 1 4 6 8 11 13 14 15 16 17 18 19 20 19 18 18 18 17 16 14 12 10 8 5 3 3 4 5 4 2 -1 -2 -3 -2 2 6 10 13 13 11 7 nan
nan 11 11 10 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 13 13 12 12 12 11 9 8 8 8 8 7 6 6 6 6 5 4 5 6 7 8 9 10 11 11 11 11 11 11 11 10 10 11 12 12 11 10 8 6 5 4 4 4 6 8 10 9 8 8 9 10 10 9 8 9 12 15 16 16 15 14 13 11 10 10 10 11 10 8 6 6 6 7 7 4 3 4 5 6 6 7 7 10 14 18 20 16 10 7 8 10 12 12 10 8 7 6 6 4 3 6 9 10 9 7 8 10 11 10 7 4 2 2 4 3 3 6 8 11 13 14 14 14 16 18 19 20 19 18 16 15 15 15 13 12 10 8 6 4 2 2 4 6 6 4 2 -0 -1 -0 2 7 11 12 11 10 8 nan
nan 11 11 11 11 12 12 12 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 12 13 13 14 14 14 14 14 13 13 12 11 10 9 7 5 4 5 5 5 4 4 3 3 2 2 2 3 5 7 8 10 11 11 12 12 12 12 11 10 10 10 11 11 10 8 7 6 5 4 3 1 1 6 12 15 14 10 10 12 13 13 12 12 14 17 18 18 17 17 16 15 13 12 12 12 12 12 11 9 9 9 9 8 4 2 3 5 7 8 10 11 15 21 26 26 19 11 8 9 11 12 12 11 9 8 8 7 4 2 5 10 12 10 8 8 8 8 7 5 3 1 2 5 7 8 10 11 13 13 12 11 12 13 15 16 16 15 13 12 11 11 12 11 10 9 7 5 3 2 2 4 7 10 10 8 5 3 2 3 7 10 11 10 8 7 nan
nan 11 11 11 12 12 12 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 12 13 13 14 14 14 14 13 13 13 12 11 10 9 8 6 4 2 1 1 3 3 3 2 2 2 2 1 2 3 4 6 8 9 11 11 12 13 13 12 12 11 11 11 10 10 10 9 7 5 4 4 4 3 1 1 7 14 17 14 10 9 12 12 12 12 14 17 19 19 18 16 16 15 14 13 12 11 11 11 11 12 13 13 13 12 8 4 2 2 4 6 8 10 13 17 22 27 26 19 13 10 11 11 12 12 11 10 10 9 8 6 7 10 15 17 14 10 7 5 5 5 3 0 -1 3 7 11 13 14 14 13 11 10 9 10 12 12 12 11 9 8 8 8 9 10 10 9 8 7 5 3 2 2 4 8 12 15 14 10 7 4 4 7 10 11 9 7 6 nan
nan 10 10 11 11 11 10 10 9 9 10 10 10 9 9 8 8 8 8 9 9 8 8 7 7 8 9 9 9 10 10 10 11 11 12 13 13 14 14 14 14 13 12 11 10 9 8 7 5 4 2 -0 -2 -2 -0 1 2 2 1 1 2 2 3 4 6 8 9 10 11 11 12 13 13 13 13 12 11 11 10 10 8 8 7 6 5 4 3 4 4 5 6 11 15 14 11 8 8 9 8 7 10 13 16 18 17 15 14 13 12 11 9 8 8 7 7 8 10 13 16 16 12 8 4 3 2 3 4 6 8 11 15 19 22 21 17 13 12 13 12 12 11 11 12 12 11 10 11 14 18 21 23 20 13 7 4 3 2 -0 -2 -1 4 10 15 17 18 16 13 10 9 9 10 12 12 11 9 7 6 6 7 9 9 10 9 8 7 5 3 2 3 5 8 12 15 14 10 6 4 4 7 9 11 11 10 9 nan
nan 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 8 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 13 13 13 11 9 8 7 6 5 3 2 1 -0 -1 -1 -1 0 1 2 2 2 2 3 4 5 7 9 10 11 11 12 12 13 13 14 14 13 12 10 10 9 8 6 5 4 4 4 4 4 4 5 6 8 11 13 11 8 7 8 6 3 3 7 11 13 14 14 13 11 10 9 7 5 4 4 3 3 4 7 12 17 16 12 7 4 3 2 1 2 4 7 10 13 16 17 16 13 11 12 13 14 14 13 13 13 13 13 13 15 18 22 24 25 24 18 11 6 3 1 -1 -2 -0 4 10 15 19 19 16 11 8 8 8 9 11 12 11 10 7 6 5 6 8 9 9 9 9 7 6 4 4 4 5 7 8 9 9 6 3 3 5 7 9 11 12 12 12 nan
nan 10 10 10 10 10 10 10 11 11 10 10 9 9 9 8 8 8 8 8 9 8 8 7 7 8 8 9 9 9 10 10 11 11 11 11 12 12 12 11 11 10 8 6 5 3 3 2 1 0 0 1 1 2 2 2 3 4 4 4 5 6 8 10 11 11 12 12 13 13 14 14 14 14 13 11 10 9 8 6 4 3 2 2 2 3 4 5 5 5 7 10 12 11 7 7 7 5 1 -0 4 8 9 10 10 11 11 9 7 5 3 2 2 1 1 3 7 13 17 15 10 5 2 2 1 1 2 4 6 10 13 16 15 12 10 9 11 14 16 17 17 16 15 13 13 13 14 16 18 20 22 22 20 15 9 5 0 -3 -3 -1 3 9 14 17 16 13 9 7 7 6 7 8 10 11 11 9 7 5 4 5 6 8 8 8 8 7 6 5 6 6 6 5 4 3 2 2 4 5 7 8 10 11 12 12 nan
nan 10 10 10 10 11 11 11 12 11 10 9 9 8 8 8 9 8 8 8 8 8 8 7 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 9 7 4 2 2 2 2 2 3 4 5 5 4 4 5 5 6 7 8 9 10 11 12 12 13 13 14 15 15 15 15 13 11 10 9 8 7 5 3 2 1 0 1 1 3 4 3 2 5 10 13 13 8 6 7 5 2 1 3 6 7 7 8 9 10 10 6 3 2 1 1 1 2 5 10 15 16 14 8 4 2 1 1 1 1 2 5 9 13 16 15 11 9 9 11 14 16 17 16 13 12 10 10 9 9 9 10 12 13 15 15 14 10 5 0 -2 -2 1 5 10 13 14 13 10 7 6 6 5 5 6 9 11 11 10 8 6 4 3 4 5 7 7 7 7 6 6 7 7 6 4 3 2 3 4 5 7 8 10 10 10 10 10 nan
nan 10 10 11 11 11 12 12 12 11 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 10 10 11 11 11 11 11 8 4 3 3 3 4 5 6 7 7 7 6 6 7 8 9 9 10 10 11 12 12 13 14 15 15 16 16 15 13 11 9 9 9 8 6 4 3 2 1 1 0 1 2 2 2 1 4 10 14 13 10 6 5 5 4 4 5 6 8 8 8 10 11 10 6 3 1 1 2 3 7 11 16 18 16 12 7 4 2 1 1 1 1 2 5 9 13 15 14 11 9 9 11 13 14 12 9 6 4 6 6 6 5 5 5 6 7 8 9 9 8 5 2 2 4 8 12 14 15 13 10 8 7 7 6 5 5 6 8 9 10 10 9 7 5 4 4 5 6 5 4 4 4 4 5 6 6 6 5 5 6 7 8 10 12 13 12 10 6 5 nan
nan 10 10 11 11 11 12 12 11 11 11 10 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 7 5 5 5 5 7 8 8 8 8 7 7 8 9 10 11 11 11 11 11 12 13 14 15 16 16 16 15 12 10 8 8 8 9 8 7 5 4 4 4 4 4 4 4 4 3 2 5 10 13 12 9 4 1 1 4 6 6 7 9 11 12 12 12 10 6 3 3 3 5 9 13 18 21 21 16 10 5 3 2 1 2 2 3 4 7 10 13 13 12 10 9 9 9 10 9 7 4 1 0 3 4 3 3 4 5 5 5 5 5 5 5 4 3 6 10 15 18 18 16 13 9 8 7 7 7 6 5 6 7 8 9 8 7 6 5 4 5 7 7 4 1 0 1 2 4 5 6 7 7 8 9 10 11 13 15 16 14 9 3 -1 nan
nan 10 10 11 11 11 11 11 11 11 10 10 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 10 8 6 5 4 5 6 7 8 8 8 8 8 8 8 9 10 11 12 12 12 12 12 13 14 15 15 16 17 15 12 9 6 7 9 10 10 9 7 6 6 7 8 10 10 10 9 8 6 6 8 12 13 11 7 3 -0 -1 1 2 3 5 9 12 14 13 11 9 7 5 5 7 10 14 18 20 21 19 14 8 5 3 2 2 3 5 8 10 12 14 14 13 12 10 9 8 6 5 5 5 5 5 5 4 3 2 3 4 6 6 5 4 2 1 1 1 2 5 11 16 19 18 15 11 8 8 8 8 7 6 5 5 6 7 8 7 6 5 5 5 7 10 9 5 1 -1 -0 2 4 5 7 7 7 8 9 10 11 13 15 16 14 9 2 -2 nan
nan 10 10 11 11 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 8 6 4 5 6 8 9 8 8 8 9 9 9 9 10 11 12 12 12 12 12 13 14 14 14 15 15 15 14 11 9 9 11 13 13 10 8 7 6 7 9 11 13 15 15 14 12 11 12 13 15 14 10 7 5 3 0 -3 -4 -2 1 6 9 11 10 7 6 6 6 7 10 14 17 18 17 15 14 12 7 4 2 2 2 4 8 12 15 18 18 16 14 14 13 12 9 5 2 2 4 8 12 12 6 2 0 1 2 4 4 4 3 2 1 -1 -2 -1 3 10 15 17 16 13 9 7 7 8 8 8 7 5 5 6 7 8 7 6 7 7 7 9 12 12 8 3 1 2 3 5 6 7 7 7 7 8 8 7 9 12 13 12 8 3 -0 nan
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nan 8 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 12 12 13 13 13 15 20 27 30 29 26 17 10 7 7 8 10 12 15 17 17 14 13 13 14 15 15 14 13 10 8 7 7 10 13 15 14 11 8 6 5 5 5 5 5 6 6 7 8 10 11 11 10 10 10 10 9 9 8 8 8 6 5 2 1 1 2 4 6 8 10 11 12 13 14 15 14 13 10 9 9 9 9 9 9 9 8 8 7 7 8 9 10 12 14 16 14 12 11 12 13 13 11 9 9 8 6 5 5 5 4 5 5 6 7 7 6 7 10 12 11 11 11 11 10 9 8 9 9 9 8 6 3 3 5 7 9 10 10 11 11 10 10 12 13 14 14 13 12 11 11 13 14 13 11 8 5 3 4 7 11 13 14 12 11 12 nan
nan 9 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 13 15 19 25 30 30 26 18 9 6 8 10 12 15 17 19 18 15 14 14 14 14 13 11 9 7 5 5 7 11 15 15 12 9 6 4 4 5 7 7 7 8 9 10 10 11 10 9 9 9 10 11 11 12 11 11 11 10 8 6 4 4 4 4 5 6 7 7 7 8 11 14 15 15 13 10 9 9 9 10 10 10 11 11 10 9 9 8 9 10 11 12 11 10 12 13 14 13 10 9 9 8 6 5 4 5 6 7 7 7 8 7 7 8 10 11 11 11 11 11 10 8 7 7 7 7 6 4 3 4 6 8 9 10 11 12 13 14 13 14 14 14 13 12 10 11 13 15 16 14 10 5 3 3 6 11 17 20 19 15 13 12 nan
nan 10 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 12 12 12 12 12 12 15 19 25 32 34 30 21 12 6 8 11 13 16 18 19 19 17 15 15 15 14 12 9 7 5 3 3 6 10 16 17 14 10 7 5 5 7 9 10 11 12 13 14 13 11 8 7 7 7 8 9 10 12 12 12 11 12 11 10 9 8 6 6 6 7 7 7 5 6 7 11 13 15 15 13 12 10 10 10 10 11 11 11 10 10 9 9 10 11 11 12 12 12 13 12 11 9 9 11 12 11 9 5 5 7 10 10 10 10 9 9 8 8 9 11 11 10 9 9 7 5 5 5 6 6 7 7 8 8 7 7 8 9 12 15 16 16 15 15 16 15 14 11 10 12 14 16 16 11 7 3 2 4 9 14 20 23 21 17 14 13 nan
nan 10 9 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 13 18 26 32 36 34 25 15 8 7 10 13 16 18 20 20 19 17 16 15 13 11 9 8 5 4 3 5 10 16 18 16 13 10 7 7 9 11 12 14 16 18 17 15 11 9 8 8 9 9 9 9 9 10 9 9 10 11 12 12 11 10 9 9 9 10 10 8 7 6 8 11 14 16 16 14 12 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 10 9 9 11 13 13 12 10 8 9 11 13 14 13 11 9 7 7 7 8 9 10 10 9 8 6 6 6 7 8 9 12 13 14 12 10 8 8 9 12 14 15 15 16 17 17 17 15 13 13 13 13 12 10 5 2 1 3 7 11 15 19 21 19 16 14 13 nan
nan 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 13 17 25 32 35 34 26 15 8 6 8 11 14 17 20 21 20 18 16 14 12 11 10 9 7 5 4 5 9 15 17 17 15 13 10 10 12 13 13 14 15 17 17 15 12 12 13 13 13 12 10 9 7 7 7 7 8 10 11 12 13 13 12 11 11 11 11 11 10 9 8 10 12 14 14 13 12 11 10 10 10 10 9 9 9 10 11 12 12 13 13 12 12 11 10 10 11 12 11 10 9 10 12 14 15 15 14 12 9 6 4 4 6 8 9 10 9 8 8 7 7 8 9 11 14 17 19 17 15 12 9 9 9 11 11 12 13 15 17 18 18 17 16 16 14 10 6 1 -2 -1 2 7 11 14 15 17 17 17 15 14 13 nan
nan 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 13 16 23 31 34 33 25 14 6 5 6 8 11 14 17 19 19 18 16 13 11 10 10 9 8 6 4 5 8 12 14 15 15 14 13 14 16 17 16 13 12 12 13 12 11 12 14 15 14 13 10 8 7 6 6 7 8 9 11 12 13 14 13 11 9 8 8 10 11 12 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 13 14 12 11 9 8 8 10 14 16 15 13 11 9 7 4 3 4 7 9 10 10 9 7 8 9 10 10 11 12 15 18 19 17 14 11 9 8 8 10 11 12 14 15 16 16 16 16 16 15 12 6 -0 -5 -4 1 7 11 14 14 14 14 14 14 13 13 12 nan
nan 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 13 16 22 29 33 32 25 13 5 4 5 8 10 13 16 17 18 18 17 15 13 11 10 9 7 6 5 5 7 9 11 12 13 14 15 17 20 21 19 14 11 9 9 9 9 9 10 11 10 10 8 7 6 7 7 9 10 11 12 12 12 11 10 7 5 4 5 6 9 11 11 10 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 13 15 16 13 11 9 9 11 13 16 16 14 11 10 8 7 4 4 6 10 13 13 11 8 7 9 11 13 13 12 11 11 12 14 12 10 7 5 4 6 10 15 18 18 17 15 13 12 12 11 10 6 0 -5 -7 -3 4 10 13 14 12 11 12 12 13 13 12 12 nan
nan 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 10 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 12 16 21 27 32 32 25 15 7 5 7 9 11 14 17 18 19 20 20 18 16 12 9 7 6 4 4 4 5 7 9 11 13 14 16 18 20 20 18 15 12 10 10 10 9 8 7 6 5 5 6 6 7 8 10 13 15 15 14 12 9 7 4 3 3 4 5 6 7 8 9 8 8 8 9 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 14 15 15 12 10 10 11 12 14 15 16 14 12 10 9 8 5 5 8 13 16 15 11 7 7 10 12 14 14 12 9 6 5 6 7 6 5 4 3 5 11 17 21 22 19 15 10 7 7 6 5 2 -3 -6 -5 -0 7 11 13 13 12 11 12 13 13 13 12 12 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 14 20 26 31 33 27 17 10 7 7 9 11 13 16 18 19 21 22 21 19 14 10 7 5 4 3 3 3 5 8 12 14 15 16 16 16 15 13 12 11 11 12 12 11 10 9 7 5 4 5 6 8 10 14 17 19 18 14 9 5 2 0 1 4 7 9 9 8 8 7 6 6 6 7 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 12 12 13 14 13 11 10 10 11 11 11 12 14 16 16 14 11 10 9 8 9 11 12 13 10 6 5 7 10 12 13 13 11 8 5 2 2 5 7 8 8 7 6 10 14 18 20 18 13 7 4 4 4 3 2 -2 -3 -0 4 9 13 14 13 12 12 13 13 13 12 12 11 nan
nan 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 12 13 19 26 32 35 31 20 12 8 6 7 8 10 12 14 17 20 22 23 21 18 14 10 8 7 6 5 4 5 8 11 14 15 14 12 11 9 8 7 7 9 11 12 13 13 13 12 10 8 7 9 11 14 16 17 18 15 10 5 1 -0 2 5 9 12 12 11 10 9 7 6 6 6 7 8 8 9 10 10 10 10 11 11 11 11 11 11 10 11 11 12 13 12 11 10 10 12 12 11 9 10 13 16 17 16 13 11 10 11 12 11 9 6 3 1 3 7 10 12 13 13 12 9 6 4 5 8 13 15 14 11 9 11 14 16 18 17 12 6 3 3 4 5 4 3 4 7 10 13 14 14 13 11 11 12 11 11 11 10 10 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 13 17 25 32 34 32 22 11 8 6 6 7 8 9 11 14 17 20 22 22 21 18 16 14 13 11 10 7 7 9 11 13 13 11 9 7 7 6 6 6 6 8 10 11 12 13 13 11 10 9 11 13 14 15 15 12 10 6 2 1 2 8 14 16 15 13 12 10 9 8 7 7 8 9 9 10 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 9 10 12 13 13 11 9 7 9 12 15 16 17 15 12 10 9 9 9 6 4 1 1 4 8 11 13 15 15 12 8 5 5 7 10 13 16 15 13 12 14 16 18 19 15 10 6 4 4 5 6 7 8 10 12 14 15 15 14 12 11 10 10 10 9 9 9 9 nan
nan 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 8 9 9 10 11 13 17 23 31 35 32 22 12 7 5 6 7 9 11 11 13 15 17 19 20 20 19 18 17 15 14 12 11 10 11 13 14 14 11 9 8 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 11 13 13 13 10 7 4 3 4 8 13 18 19 15 12 10 9 8 9 9 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 8 10 13 14 14 10 6 5 7 10 12 13 13 13 10 6 3 4 7 9 8 5 3 5 9 12 15 17 16 11 6 4 4 5 7 7 10 12 13 14 16 18 19 18 13 8 5 5 5 7 8 9 11 13 14 14 14 14 13 12 11 11 10 9 9 8 8 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
20 20 21 20 20 20 22 25 26 27 28 29 31 32 30 24 17 14 15 17 20 20 14 10 9 10 10 10 9 8 7 7 7 7 9 15 15 12 17 23 25 28 30 25 30 29 26 26 27 26 23 23 25 27 31 31 30 32 45 59 71 69 64 64 72 80 80 78 74 66 50 36 36 33 30 29 26 20 12 8 6 6 6 6 6 5 5 5 5 4 4 4 4 3 3 2 1 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 16 107 296 437 394 264 155 94 63 46 42 44 117 946 1679 1801 1423 985 686 487 342 229 209 272 352 407 439 455 468 445 399 360 387 470 551 600 668 761 789 698 547 419 368 385 433 410 340 337 376 420 455 520 626 654 677 797 1056 1260 1195 931 914 1181 1125 855 694 654 650 646 633 604 572 534 484 430 383 344 332 387 501 578 661 725 712 617 483 354 378 263
19 20 21 21 21 22 23 25 27 28 28 29 31 29 25 20 15 15 17 18 20 18 13 9 10 10 10 9 8 7 7 7 7 8 8 10 12 12 14 18 20 22 23 24 24 19 20 19 18 18 19 20 20 20 25 26 28 30 38 52 67 67 67 71 77 83 82 77 74 68 59 50 39 29 23 22 20 16 11 7 6 6 6 5 4 4 4 4 4 4 4 4 3 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 50 205 406 506 432 267 147 81 48 35 34 38 65 243 891 994 805 577 411 308 242 197 183 200 228 253 278 306 328 312 315 353 458 554 603 627 669 702 643 526 426 356 307 270 276 301 237 228 265 308 364 452 539 548 567 683 859 973 980 960 1032 1110 905 709 628 631 639 619 572 518 470 424 362 293 237 207 220 313 510 621 680 736 647 447 251 122 110 61
20 23 25 27 29 31 34 34 33 33 32 34 35 29 23 18 14 12 14 18 19 16 11 9 10 10 10 9 8 7 7 7 6 7 7 7 8 8 11 14 16 16 17 15 14 14 19 16 17 15 16 17 20 23 24 24 34 43 56 69 72 74 72 68 64 62 63 64 65 55 41 42 43 32 22 20 17 12 8 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 147 356 529 570 459 284 148 74 42 34 36 44 61 132 495 582 507 393 298 235 200 180 169 174 181 192 209 231 244 241 263 328 457 554 595 606 608 575 500 451 426 388 322 243 191 189 190 198 209 278 382 452 452 411 387 456 570 679 810 971 1051 931 665 561 566 592 569 501 421 359 329 307 252 186 143 135 168 265 451 628 613 529 408 315 212 94 40 29
24 26 30 32 34 38 43 42 38 37 37 39 40 30 24 21 17 16 18 20 18 14 10 10 10 10 9 8 8 7 7 7 7 8 8 6 6 7 9 12 15 16 15 11 11 13 14 14 14 15 15 16 18 19 21 26 42 62 83 87 85 86 83 77 71 68 64 62 65 66 57 47 47 36 24 19 15 9 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 9 277 543 671 627 452 243 101 46 35 36 42 57 70 100 224 316 292 252 210 172 146 137 152 182 197 202 207 212 213 210 207 220 353 481 541 536 494 430 368 353 379 358 291 207 148 132 140 223 256 343 389 363 293 236 231 285 402 565 738 859 815 631 485 442 496 505 440 358 294 257 246 236 192 144 124 136 177 261 403 562 537 427 333 254 172 95 54 40
31 32 35 33 31 33 38 40 39 40 40 41 40 32 25 23 19 18 19 19 17 13 8 10 11 10 9 8 8 8 8 8 8 8 7 6 6 7 9 10 12 13 13 10 10 10 12 14 17 18 17 16 16 16 20 30 48 70 88 92 94 93 90 87 83 76 70 68 70 67 54 44 33 30 22 15 10 7 6 5 4 4 4 4 4 3 3 4 4 3 3 3 3 3 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 49 294 638 747 652 429 199 63 37 41 51 58 73 86 89 94 125 137 138 131 120 114 125 154 184 200 202 198 193 190 190 186 178 238 395 465 449 401 355 317 295 310 289 209 124 74 62 114 283 335 346 267 188 143 133 156 218 346 536 645 614 495 384 351 363 389 348 276 221 196 195 200 189 157 138 162 207 255 326 444 578 625 509 346 317 257 160 86 60
26 29 32 25 24 29 33 36 39 41 41 41 37 30 26 24 18 18 20 20 17 12 9 11 12 11 10 10 9 9 8 8 7 7 7 6 6 6 7 8 8 9 9 9 8 9 10 11 13 16 18 17 16 16 23 37 55 72 85 90 92 92 91 86 78 73 70 65 65 59 45 40 42 26 20 14 10 8 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 37 201 506 637 555 366 177 69 50 59 66 66 68 71 73 73 76 83 88 92 96 106 123 142 160 173 180 181 178 175 174 174 172 190 292 358 353 319 281 237 188 158 156 115 71 53 52 76 135 191 198 122 75 81 112 148 212 345 533 549 373 234 192 221 253 249 210 159 140 143 154 158 150 135 144 209 269 295 343 478 694 879 750 382 238 191 145 97 71
23 26 28 26 27 33 32 35 39 41 42 42 37 32 31 28 22 22 22 21 16 12 10 12 13 11 11 9 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 10 11 12 14 17 19 19 20 29 43 58 71 81 86 89 93 93 86 78 74 69 62 61 54 43 33 33 31 21 15 11 7 5 4 4 4 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 2 2 1 0 0 0 0 2 18 117 289 385 344 225 122 74 63 64 60 48 35 33 35 40 50 61 69 76 83 96 110 124 141 158 171 178 176 171 165 162 163 173 209 244 245 220 175 123 83 72 65 56 47 47 52 61 71 78 86 57 46 71 106 147 221 362 532 505 204 85 74 99 118 113 99 88 100 115 125 132 135 140 174 253 266 229 230 356 583 757 710 381 191 149 120 87 66
26 27 27 31 38 38 31 33 36 40 42 42 38 34 35 34 31 28 25 23 17 12 11 12 12 10 11 9 8 7 7 7 7 6 7 7 6 5 6 6 7 7 7 7 7 7 8 8 8 10 14 16 18 22 30 39 52 68 80 89 96 99 94 86 74 64 59 58 56 49 36 28 33 29 16 11 8 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 3 26 60 130 190 197 155 98 63 48 42 38 31 19 9 8 11 16 28 43 57 67 78 94 110 125 143 162 176 183 182 174 164 157 155 159 170 182 182 160 125 91 68 53 41 32 40 49 53 58 57 46 33 32 44 65 99 155 227 334 443 361 79 31 34 42 47 52 61 73 91 101 107 122 144 176 230 296 239 144 104 136 242 354 366 253 186 174 133 86 63
22 25 26 33 37 33 29 31 28 33 38 39 37 33 33 42 41 38 36 30 21 13 11 12 10 8 7 6 8 8 7 7 7 7 8 7 6 5 6 6 6 7 8 7 7 8 8 7 6 7 11 12 14 18 24 30 38 55 72 89 98 97 85 71 56 47 47 48 43 34 28 25 26 19 10 6 5 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 5 28 120 213 222 174 108 55 29 22 11 6 7 6 3 0 0 3 8 18 35 53 71 91 113 132 144 159 175 188 193 190 181 169 157 150 152 160 169 171 155 121 90 68 52 39 30 38 52 55 59 55 37 20 24 44 61 98 168 219 235 211 127 32 27 32 33 36 46 59 74 84 90 106 134 180 237 305 354 264 114 50 50 118 203 255 277 272 212 136 80 62
25 24 25 29 27 22 22 26 26 31 36 37 37 35 35 42 44 42 41 35 27 19 13 9 9 7 7 7 8 8 8 7 8 8 8 7 6 5 5 6 6 6 7 8 7 7 7 6 6 7 9 10 11 14 17 19 21 31 46 67 77 75 64 47 33 24 34 39 32 25 22 18 12 10 7 5 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 1 13 65 181 271 200 113 49 23 25 29 16 1 0 0 0 0 0 1 6 22 42 65 97 135 171 194 195 195 203 211 211 204 195 181 164 154 155 162 167 164 146 112 81 67 58 49 46 49 58 57 58 54 42 31 32 46 63 100 164 167 125 76 51 44 47 47 46 50 59 71 80 85 87 105 159 223 271 348 413 320 125 35 25 81 170 259 323 341 282 147 71 57
24 21 22 24 23 16 17 20 26 32 35 34 40 51 46 39 35 33 32 29 29 24 16 9 7 5 6 6 6 6 7 8 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 7 8 10 10 10 10 10 13 20 33 39 43 39 32 27 22 24 25 15 9 8 13 14 5 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 1 15 53 93 89 69 34 11 69 156 178 107 0 0 0 0 0 0 3 14 38 64 106 168 229 271 282 265 246 243 242 236 229 222 211 191 174 171 172 172 164 144 112 82 75 70 64 62 64 67 66 62 60 53 46 47 57 79 115 149 104 71 63 69 72 66 55 57 67 80 89 92 90 90 113 177 222 222 333 445 367 159 33 11 36 101 209 331 400 339 136 60 54
22 22 22 21 20 18 19 18 25 31 33 34 36 42 43 39 34 30 26 23 25 22 14 9 7 6 6 5 4 4 5 7 8 7 6 5 5 4 4 5 4 5 5 5 5 5 5 5 4 4 5 6 8 8 6 6 6 7 8 10 15 23 24 18 13 11 12 12 7 7 6 6 7 5 4 4 3 3 3 3 3 3 3 2 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 0 0 0 3 30 51 42 14 7 4 1 218 456 455 235 0 0 0 0 0 0 7 26 62 107 188 296 384 414 388 342 303 287 281 279 281 280 270 246 218 202 192 183 172 154 126 98 93 85 79 76 79 83 86 91 97 90 75 67 71 89 112 112 72 73 90 103 97 72 51 51 68 83 93 100 108 117 135 158 155 134 275 409 367 186 47 8 8 28 92 217 334 302 132 72 80
26 28 27 24 22 22 23 24 31 34 34 34 35 36 37 36 32 27 23 20 20 15 10 8 6 6 6 6 5 4 5 5 5 5 5 5 3 4 4 4 4 5 5 4 4 4 4 4 4 3 4 5 6 6 5 5 6 6 7 8 10 14 18 11 8 9 10 9 7 7 6 5 5 5 4 3 3 3 3 3 3 3 3 2 3 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 1 6 22 84 82 41 9 0 0 21 336 662 552 225 0 0 0 0 0 3 15 44 100 185 297 437 565 615 554 447 374 347 344 356 367 367 350 317 278 247 227 209 193 175 154 140 140 113 98 95 102 114 134 162 182 163 115 79 66 69 76 76 78 100 113 108 84 55 35 30 34 48 71 104 148 178 165 106 77 74 198 316 313 197 77 18 2 5 22 54 77 98 131 89 106
27 30 30 29 30 29 25 25 29 33 33 33 33 33 32 30 24 19 18 17 16 13 9 7 7 6 6 5 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 6 6 7 7 7 7 7 8 8 8 8 9 8 7 8 8 8 7 6 5 5 4 4 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 2 1 2 1 0 0 3 25 78 154 104 39 8 0 0 35 211 421 277 86 0 0 1 4 3 10 29 66 138 243 373 523 708 841 769 606 476 430 426 440 446 440 419 385 345 308 278 249 218 194 184 191 202 168 137 133 144 166 202 239 246 194 111 68 49 47 57 76 103 121 113 90 63 40 24 12 7 15 45 101 180 216 165 70 40 47 135 223 243 191 111 46 5 1 1 3 10 26 52 60 70
27 30 31 34 38 36 26 26 28 30 30 27 27 28 27 25 18 13 14 13 14 14 12 10 8 6 5 6 5 5 5 5 5 4 4 4 3 2 2 3 4 4 3 4 4 4 4 4 5 5 6 6 6 7 8 7 7 8 7 7 6 7 7 7 7 8 7 7 6 6 5 5 4 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 5 43 118 176 110 37 8 1 0 7 29 44 2 0 1 3 11 18 18 25 48 83 146 242 369 528 730 913 821 652 534 486 477 480 477 471 459 438 410 378 340 294 244 225 240 253 256 241 200 192 200 226 252 256 223 155 89 77 58 54 70 92 111 116 108 92 71 50 29 11 1 3 17 59 118 154 133 78 60 50 87 148 201 215 176 104 37 6 1 0 1 4 10 16 27
30 32 34 36 36 32 24 30 29 28 25 20 21 24 24 21 16 13 15 13 15 16 14 10 7 4 4 5 5 5 6 6 5 4 3 3 3 2 2 3 4 3 4 4 5 5 4 4 5 5 7 7 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 5 5 4 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 5 42 119 157 110 52 14 2 0 0 0 0 0 1 2 23 38 41 40 51 73 100 143 211 312 453 626 778 705 571 508 489 486 491 497 505 512 504 480 444 398 346 309 319 351 336 312 288 265 262 266 274 261 220 170 126 101 107 84 73 77 83 91 105 117 114 96 71 43 20 6 0 1 12 30 50 69 82 79 50 48 86 143 188 193 158 97 9 1 0 2 2 2 5 14
35 33 32 30 27 25 24 31 28 25 18 15 16 19 22 24 20 19 17 15 15 18 14 9 6 4 3 3 4 4 4 5 5 4 3 3 2 3 3 3 3 3 4 5 5 5 5 4 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 6 6 5 4 4 3 3 3 3 3 2 3 3 3 2 2 3 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 5 38 107 133 102 58 17 1 0 0 1 5 9 15 29 61 66 64 64 74 91 110 139 184 253 356 479 564 518 476 475 483 511 543 563 573 584 576 547 500 445 404 406 445 479 395 357 349 344 337 323 293 238 173 126 104 99 92 69 54 47 47 66 98 124 125 102 76 52 29 10 0 0 0 8 16 20 28 34 28 25 39 64 99 135 158 127 26 2 0 1 3 3 2 4
39 37 31 25 21 23 28 32 30 23 13 13 14 16 21 26 25 20 19 16 15 16 15 10 6 3 3 3 3 2 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 6 5 6 7 7 6 6 5 5 5 4 3 3 3 3 3 3 2 3 3 3 2 2 2 2 2 2 2 2 2 1 0 1 1 1 1 2 2 2 2 1 1 1 0 0 0 0 0 0 1 6 26 73 112 93 47 12 0 0 2 10 25 41 58 72 75 76 78 81 89 104 123 147 182 229 291 359 402 407 432 454 477 558 604 607 595 591 586 560 524 480 439 419 428 445 335 320 350 372 357 317 256 193 152 125 95 66 45 28 18 14 21 48 84 109 107 83 56 34 12 2 1 1 0 0 5 9 12 13 16 18 19 19 36 73 122 123 57 9 0 0 0 1 2 3
37 36 30 24 22 25 31 32 28 19 11 14 16 17 19 22 23 19 18 14 14 14 14 10 5 3 2 1 1 1 2 3 3 3 3 3 3 3 2 2 2 3 3 4 5 4 4 4 4 5 5 5 6 7 7 7 7 7 7 6 6 6 6 7 6 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 0 0 1 1 1 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 1 6 21 58 49 25 6 0 1 5 22 53 81 97 95 86 85 87 91 105 128 154 179 201 227 260 296 332 364 391 420 480 545 553 530 508 503 509 516 516 502 472 410 323 241 180 165 196 245 260 227 169 132 138 140 92 39 8 2 2 2 8 29 55 74 74 55 35 17 4 0 8 11 2 0 0 2 4 6 9 10 11 8 13 34 84 129 108 33 4 0 0 2 5 6
34 29 25 24 26 29 30 27 22 17 14 13 15 18 17 17 16 16 15 12 12 11 9 7 4 3 2 1 0 1 1 2 3 3 3 3 2 2 2 2 2 3 4 5 4 4 4 5 5 5 5 6 7 7 7 7 6 7 6 6 5 6 6 6 6 6 6 5 5 4 4 3 3 3 2 2 2 2 2 2 3 2 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 15 39 35 20 7 1 0 1 8 28 68 98 115 112 100 97 98 109 134 165 194 212 218 223 240 263 291 319 344 376 437 459 430 401 390 401 427 461 488 493 477 360 209 95 45 13 28 81 126 125 99 88 104 124 66 20 2 0 0 0 2 11 26 38 39 27 8 8 1 0 4 5 1 0 0 0 0 0 0 1 2 4 6 21 97 177 168 75 14 0 0 0 1 4
27 24 24 28 30 29 24 18 14 17 16 15 15 16 15 14 12 10 11 12 12 11 10 7 3 2 2 2 1 1 1 2 2 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 6 7 6 6 6 6 6 6 6 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 7 39 101 134 99 64 23 5 0 5 18 44 81 110 122 119 114 112 116 134 171 206 227 229 222 216 222 235 254 274 293 313 336 344 327 316 321 344 379 416 441 457 456 251 90 16 0 0 0 32 70 77 65 57 60 62 26 7 1 0 0 0 0 4 10 16 18 19 18 9 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 29 137 201 160 68 11 0 0 0 0 0
22 22 26 30 28 23 18 15 17 22 22 17 14 14 14 12 10 8 8 12 13 11 10 6 3 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 6 7 7 7 7 7 6 6 6 5 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 2 2 1 1 0 1 4 12 19 15 9 6 5 6 9 18 24 18 7 1 5 33 154 208 207 170 122 52 12 2 13 42 79 111 130 139 143 135 130 140 169 210 240 247 240 223 203 192 195 204 211 222 235 247 257 264 273 284 300 325 357 402 455 407 141 32 4 0 1 6 28 55 52 34 23 22 14 7 2 0 0 0 0 0 1 2 4 6 9 11 6 4 1 1 1 0 0 0 0 0 0 0 0 0 0 4 27 84 104 71 24 0 0 0 0 0 0
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