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 10 11 11 11 10 9 9 9 8 8 8 7 7 8 8 9 9 9 10 10 10 9 9 9 9 10 9 9 8 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 11 11 11 9 9 9 10 11 11 10 9 8 8 8 8 9 9 10 9 9 9 9 9 8 8 7 6 7 7 8 9 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 10 12 14 15 14 12 10 9 10 11 11 10 9 8 7 7 6 7 8 9 9 9 9 8 8 8 9 10 11 12 12 11 10 8 7 7 6 5 5 6 7 8 9 9 10 11 13 12 10 9 7 7 8 8 8 9 8 8 7 7 8 9 9 9 9 9 10 11 12 12 11 11 10 8 6 5 6 9 15 nan
nan 10 10 10 10 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 11 9 9 10 11 11 11 10 9 8 8 8 8 9 10 10 10 10 10 10 9 9 8 6 6 7 8 9 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 9 11 13 14 14 13 12 10 10 11 11 11 11 10 10 8 7 7 7 8 8 9 9 9 8 8 8 9 11 12 12 11 9 8 8 7 6 5 5 5 6 7 8 9 9 11 12 12 11 9 7 7 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 10 10 11 11 12 12 10 9 8 7 8 12 nan
nan 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 11 11 12 12 12 11 9 9 9 10 11 10 10 9 9 8 8 8 9 10 11 11 10 10 10 10 9 8 7 7 7 8 9 10 10 9 9 8 9 9 10 9 9 9 9 9 8 9 9 9 10 9 8 8 7 7 8 9 9 9 8 9 10 10 11 12 13 13 13 12 11 11 11 11 11 10 9 8 8 7 7 7 7 8 9 9 9 8 9 10 10 10 10 9 9 9 8 8 8 7 7 6 7 7 8 9 10 11 12 11 10 7 7 8 9 9 9 8 8 8 7 7 7 8 9 9 8 8 8 9 10 11 12 12 11 11 10 9 9 11 nan
nan 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 10 10 10 11 11 11 11 12 12 12 11 10 9 9 9 10 10 10 10 10 9 8 8 9 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 8 7 7 7 8 9 9 9 8 8 7 7 7 8 9 9 9 9 8 7 7 7 8 9 9 9 8 8 8 8 10 11 12 12 12 12 12 12 12 11 11 10 9 9 8 7 6 6 7 7 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 8 7 7 8 8 9 10 11 12 12 10 8 8 8 9 10 10 9 9 8 8 7 7 8 9 9 9 8 8 8 9 10 10 11 11 11 11 10 9 10 nan
nan 9 9 9 8 8 7 7 7 7 8 8 8 7 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 10 9 9 10 11 11 10 9 8 9 10 11 11 10 11 11 11 11 11 10 9 8 8 7 8 8 8 8 7 7 7 8 8 8 8 8 7 6 6 7 8 8 7 7 8 8 8 7 8 8 9 9 9 9 8 7 8 8 9 10 11 11 12 13 13 12 11 10 10 10 10 9 9 8 7 6 6 8 9 9 9 9 9 9 10 11 10 9 9 10 10 10 9 8 8 8 8 9 9 10 11 12 11 10 9 9 10 11 11 10 9 9 9 8 8 8 8 9 8 8 8 8 8 9 9 10 10 10 9 8 8 9 nan
nan 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 9 9 9 9 9 8 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 13 12 11 10 10 11 11 11 10 9 9 10 10 10 10 9 10 11 12 12 11 11 9 7 6 6 7 8 8 7 7 7 8 8 8 8 8 7 6 5 6 8 10 9 7 7 8 9 9 8 9 9 9 9 10 10 9 8 8 7 8 9 10 10 12 13 13 12 11 10 9 10 10 11 11 11 9 7 7 8 9 9 9 8 8 9 10 10 10 9 9 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 8 8 8 9 9 9 10 10 10 9 9 9 nan
nan 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 8 8 7 7 8 9 10 10 9 9 8 8 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 12 11 11 10 10 9 9 9 10 9 9 8 9 10 11 11 12 12 10 7 5 4 6 8 8 8 7 8 8 8 8 8 8 8 7 7 6 7 9 11 10 9 8 8 9 9 9 9 9 10 10 10 10 9 8 7 7 8 9 9 10 11 11 11 11 11 10 10 10 10 11 12 12 11 10 9 8 9 9 8 8 8 8 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 12 12 12 12 11 11 11 10 10 9 8 8 8 8 7 8 8 8 9 9 8 9 10 11 11 12 11 10 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 14 14 13 13 11 10 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 9 6 5 5 7 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 11 11 10 9 9 10 10 11 11 11 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 12 13 13 11 nan
nan 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 13 13 12 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 6 6 8 10 11 11 10 10 9 9 9 8 8 9 9 9 8 8 7 8 8 9 9 8 8 8 9 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 9 10 9 9 9 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 12 13 12 nan
nan 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 6 7 9 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 10 10 10 11 11 12 12 12 11 11 10 10 9 9 8 8 9 8 8 8 9 8 8 8 8 9 9 8 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 8 9 9 9 10 10 10 9 10 10 9 9 8 8 8 8 8 9 10 11 11 nan
nan 9 9 9 9 9 8 8 8 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 7 7 7 8 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 10 11 11 11 11 11 12 12 12 11 11 10 10 10 9 8 9 10 10 10 10 10 10 10 9 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 8 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 9 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 8 9 10 11 11 11 10 10 10 9 9 8 8 9 9 9 9 9 11 12 12 12 11 9 8 7 8 8 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 9 10 11 12 12 12 11 10 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 10 11 11 11 11 10 10 9 9 8 9 9 10 11 11 12 14 14 14 12 10 8 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 9 8 8 9 10 11 12 12 11 10 10 11 12 13 13 12 12 11 10 10 10 10 11 10 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 11 9 8 8 8 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 9 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 8 7 7 8 8 8 8 9 9 10 11 11 11 10 10 9 9 8 8 9 9 11 12 13 14 15 16 15 13 10 8 7 7 7 8 8 9 9 9 9 9 10 11 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 9 9 8 7 7 8 9 10 11 10 9 9 9 10 12 12 11 11 12 12 11 11 11 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 9 9 9 9 9 10 10 9 10 11 12 12 12 12 11 10 9 9 9 nan
nan 9 9 9 8 8 8 8 8 8 8 9 10 10 10 11 10 11 10 10 10 10 10 10 9 8 8 8 8 8 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 10 10 10 10 10 10 9 9 8 8 9 10 11 12 13 15 15 15 14 11 9 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 7 8 8 8 8 9 9 8 8 6 5 5 5 7 8 7 6 6 7 9 10 10 10 10 11 12 13 13 12 10 8 9 9 10 11 11 10 10 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 9 8 8 9 9 9 9 9 10 10 11 12 12 11 11 10 10 10 nan
nan 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 9 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 9 9 9 9 9 10 11 12 13 14 14 13 12 10 9 8 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 9 8 6 3 1 -0 -0 1 2 2 2 2 4 7 8 9 9 10 10 12 13 13 12 11 11 11 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 9 10 11 10 10 9 8 8 8 8 9 9 9 9 9 9 10 11 12 12 12 11 10 10 nan
nan 9 9 8 8 8 8 8 8 8 9 10 10 10 11 11 12 12 12 11 11 11 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 8 9 9 10 10 8 6 3 1 -2 -3 -3 -2 -2 -2 -2 -2 -0 2 4 6 8 10 11 11 11 12 12 12 13 14 14 14 12 12 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 9 8 8 9 11 12 12 13 12 11 10 nan
nan 9 9 8 8 8 8 8 8 9 10 10 10 11 11 11 12 13 12 12 11 11 10 9 9 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 13 13 12 11 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 7 6 6 6 6 7 6 4 2 -0 -1 -2 -1 -0 1 2 2 1 0 -0 1 2 3 5 7 9 9 9 10 10 11 11 13 14 14 13 12 11 11 11 12 13 13 13 14 13 12 12 11 10 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 11 11 11 10 9 8 8 8 9 10 11 12 12 11 11 nan
nan 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 12 12 12 12 11 10 10 9 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 10 11 13 14 13 11 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 8 6 5 5 5 6 7 5 2 -0 -0 1 2 4 6 7 8 8 8 7 7 7 6 5 4 3 3 3 4 5 6 8 9 10 11 11 11 10 10 10 10 11 12 13 13 14 14 14 14 14 13 12 10 9 9 8 8 8 8 9 9 8 8 7 8 8 9 9 10 10 11 12 12 12 12 11 10 9 8 7 8 8 10 10 11 11 11 nan
nan 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 11 11 11 11 10 10 9 9 8 8 7 7 7 7 8 7 7 7 6 6 6 7 7 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 9 9 11 15 18 17 13 10 7 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 8 8 9 8 6 5 5 6 8 9 9 10 11 11 11 12 12 12 12 11 9 6 3 0 -1 -1 -0 1 2 3 5 6 7 7 8 8 8 8 8 9 10 10 11 11 12 13 14 14 13 12 10 9 8 7 7 8 9 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 8 7 7 7 8 9 9 9 10 nan
nan 8 8 8 7 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 7 7 7 7 8 8 7 7 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 8 9 12 17 20 19 14 9 4 2 3 5 7 8 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 11 12 14 15 15 15 15 15 14 14 13 13 13 13 13 12 10 7 4 2 1 -0 -1 -1 -1 -0 1 3 4 5 6 6 6 6 6 7 7 7 7 8 9 10 10 11 10 9 8 7 6 6 8 9 10 11 11 10 10 9 9 9 9 10 10 9 9 9 10 10 10 10 9 8 8 8 9 9 8 8 9 nan
nan 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 7 11 15 17 16 12 8 3 0 -0 2 4 7 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 7 6 6 7 8 9 10 12 14 16 18 19 20 20 20 19 16 14 13 13 13 13 13 13 12 11 11 9 8 6 3 1 -0 -1 -1 1 3 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 7 9 11 11 11 10 9 9 8 8 9 10 10 9 9 8 9 9 10 10 10 9 9 9 10 9 9 9 9 nan
nan 8 8 8 8 9 10 10 11 11 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 5 4 5 7 10 13 13 10 7 4 1 -0 0 3 6 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 7 6 4 4 6 7 8 9 10 12 13 14 16 17 18 18 17 15 14 14 14 15 14 14 13 13 13 12 12 12 12 10 9 7 5 3 1 1 1 2 3 4 4 5 5 6 6 6 6 7 6 6 6 6 5 4 4 4 5 6 7 9 10 10 10 9 8 8 8 8 9 9 10 10 9 9 9 9 10 9 9 9 9 9 10 10 10 10 9 nan
nan 8 8 9 9 10 10 11 11 11 12 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 5 3 3 5 7 10 11 10 8 6 4 1 1 2 5 8 9 9 9 9 9 9 9 9 8 8 9 8 8 7 6 5 5 5 7 8 8 10 11 11 11 12 13 13 12 9 7 8 10 13 15 15 15 15 14 13 12 12 12 12 12 12 12 11 11 9 6 3 1 0 -0 1 2 3 4 5 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 9 9 nan
nan 8 9 9 9 10 11 11 11 11 12 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 6 4 3 3 4 7 9 11 10 9 8 6 4 2 2 5 8 9 10 9 9 10 9 8 7 5 5 6 7 7 7 6 5 6 7 7 8 9 9 10 10 10 11 11 10 6 2 2 5 8 11 13 14 14 14 13 13 13 12 12 12 12 12 12 13 13 12 10 8 6 3 1 0 -0 1 2 4 5 6 7 7 6 7 6 7 7 8 8 9 8 8 7 7 8 8 9 9 9 9 9 8 8 8 9 10 11 10 10 10 10 10 10 9 9 8 8 8 9 9 8 nan
nan 8 9 9 10 10 11 11 11 11 11 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 10 9 9 9 8 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 7 5 4 4 5 7 9 10 11 11 11 10 7 5 3 4 6 9 10 10 9 9 9 8 6 5 6 8 8 8 7 6 6 7 7 8 8 8 8 8 8 9 10 9 7 4 4 6 9 11 11 11 11 11 12 13 14 15 15 14 14 14 14 14 15 15 16 15 14 12 10 7 5 2 0 0 1 3 5 6 7 7 6 6 6 6 7 8 8 7 7 6 6 6 7 9 10 10 10 10 9 9 9 9 10 10 11 10 10 10 11 11 10 9 9 8 7 8 8 8 nan
nan 8 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 7 6 6 7 8 9 12 14 16 15 12 8 4 3 5 8 10 10 9 8 8 8 7 8 10 11 11 9 7 7 8 8 8 7 7 7 7 8 8 9 8 7 7 7 10 13 14 13 11 10 9 9 10 12 15 17 17 17 17 18 18 19 19 20 20 20 19 17 15 13 11 8 5 2 1 0 2 4 6 7 7 7 6 6 6 7 7 8 9 8 7 7 7 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 11 10 10 9 8 7 7 7 7 7 nan
nan 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 7 10 14 19 21 19 16 11 6 3 3 6 8 9 8 7 8 8 9 11 12 12 11 8 8 9 10 10 9 8 7 7 7 7 8 8 7 7 8 10 12 14 14 12 11 10 9 9 9 11 13 15 15 16 18 19 19 20 21 21 21 21 21 20 19 17 16 14 12 9 6 3 -0 0 3 6 8 9 8 7 7 7 8 10 11 10 9 8 8 8 9 11 11 11 10 9 8 7 7 7 8 9 10 11 11 10 9 8 7 7 7 8 8 8 nan
nan 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 7 6 7 9 13 18 22 23 21 17 13 7 4 3 5 7 8 8 8 8 9 10 10 10 9 8 8 9 11 12 12 10 9 9 9 8 8 8 8 8 8 8 10 11 11 11 11 11 11 10 9 9 9 10 10 11 12 14 14 15 15 16 15 16 16 17 19 19 19 19 19 19 18 16 12 8 5 5 6 8 9 10 9 8 8 9 9 9 9 8 8 8 9 10 11 11 11 11 10 8 6 5 5 6 8 10 11 12 11 10 9 7 7 7 8 9 9 nan
nan 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 10 9 8 7 7 9 12 17 21 23 22 20 17 13 9 6 6 7 8 8 8 8 9 9 8 7 7 7 8 9 11 12 13 13 12 11 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 11 11 10 10 11 12 13 15 16 17 19 21 22 22 20 18 15 12 10 10 10 10 9 9 9 9 9 9 8 7 8 8 8 9 10 10 11 11 10 8 7 6 5 6 8 10 11 11 11 11 10 9 8 8 9 10 10 nan
nan 9 9 9 10 10 11 11 11 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 7 8 11 15 19 21 22 21 18 15 11 9 8 9 10 9 8 8 8 9 8 7 7 9 10 12 13 14 14 13 12 12 11 10 10 11 11 11 11 10 10 10 10 10 9 8 6 5 4 5 7 9 10 10 10 10 10 9 10 10 10 10 9 9 9 8 9 10 11 13 14 15 17 18 19 18 16 14 12 11 11 10 9 9 9 9 9 10 9 9 9 8 8 8 8 9 10 11 10 10 9 9 9 9 9 10 11 12 12 12 12 11 10 9 8 8 8 nan
nan 9 9 9 10 10 11 11 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 8 12 16 20 21 21 19 16 13 10 8 9 10 11 10 9 9 9 8 8 8 10 12 13 14 14 13 12 12 11 11 10 10 10 11 11 10 10 10 10 10 10 10 9 8 6 4 3 3 5 7 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 10 10 10 10 11 11 10 10 9 10 10 10 9 9 9 9 8 9 9 10 9 9 8 7 6 6 7 8 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 9 7 6 6 nan
nan 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 8 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 5 5 6 10 14 18 20 21 19 16 13 11 9 9 10 11 11 10 9 8 8 7 7 8 10 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 6 4 3 4 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 6 5 4 3 3 3 4 5 5 5 6 8 8 8 7 6 6 6 5 5 4 3 3 3 4 6 8 10 11 11 10 11 11 11 11 11 11 11 10 10 9 9 7 6 6 nan
nan 9 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 9 9 8 7 8 11 15 18 20 20 17 14 11 8 8 9 10 11 11 10 8 7 6 6 6 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 10 10 8 7 5 5 6 7 9 9 9 9 9 9 8 8 8 9 9 9 8 9 9 9 9 8 7 4 2 1 -0 -1 -1 -1 -1 -0 1 2 3 4 3 2 1 1 1 0 0 -1 -1 -2 -2 0 3 5 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 nan
nan 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 11 12 11 10 10 12 14 17 19 18 15 12 9 6 5 6 8 9 10 9 9 8 7 7 8 10 11 11 10 10 10 9 10 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 8 8 8 8 10 10 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 14 14 12 8 5 2 1 -1 -2 -3 -4 -4 -4 -3 -2 -1 -0 0 1 0 -0 -1 -2 -3 -4 -5 -5 -4 -2 1 4 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 10 11 12 12 11 10 11 13 16 17 16 14 11 8 5 4 5 6 8 9 9 9 9 8 9 10 11 12 11 10 10 9 9 11 12 12 12 11 9 7 6 6 6 8 9 9 9 9 7 6 6 6 8 11 12 12 12 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 13 16 19 21 20 18 15 11 9 7 5 3 1 -1 -2 -2 -2 -0 1 2 3 3 3 3 2 1 -1 -3 -5 -7 -6 -4 -0 3 6 7 7 7 8 9 9 10 10 10 9 9 9 9 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 8 8 9 10 11 12 11 10 11 12 15 16 15 13 11 7 4 3 5 7 8 9 9 9 8 8 9 10 11 11 11 11 10 10 10 12 13 13 12 9 5 1 -1 -1 1 5 8 9 9 8 7 5 5 6 9 12 14 15 15 13 11 10 10 10 9 8 8 8 8 8 8 9 9 10 10 12 13 15 18 21 22 23 23 20 18 16 14 13 11 8 7 5 5 4 4 5 5 6 6 7 7 7 5 3 -1 -4 -6 -5 -3 0 3 6 6 7 8 8 10 10 11 10 10 9 9 9 nan
nan 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 8 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 7 8 10 11 12 11 10 10 11 13 14 14 13 11 7 3 3 4 7 9 10 9 8 7 6 7 8 10 11 11 12 12 11 11 12 13 13 12 9 4 -1 -3 -4 0 5 7 8 8 7 5 4 3 6 9 12 15 18 18 16 14 13 12 11 10 9 9 9 8 8 8 9 9 10 11 11 12 12 14 17 19 22 24 24 24 23 22 21 20 19 17 15 14 12 10 9 9 9 10 11 12 12 10 8 5 2 -1 -4 -4 -2 1 3 5 6 7 8 9 10 11 11 10 10 9 9 nan
nan 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 8 8 10 11 12 11 10 9 10 11 13 14 14 12 8 4 3 4 7 9 9 8 7 6 5 6 7 9 10 11 11 11 10 11 12 12 12 12 10 8 6 3 2 4 5 5 4 4 2 0 -1 1 5 9 13 17 20 20 18 15 14 13 12 11 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 14 17 19 22 24 25 26 27 27 27 26 25 23 21 19 18 17 17 17 17 17 17 15 13 10 6 3 -1 -2 -2 -0 1 3 5 7 8 9 10 10 11 10 10 10 10 nan
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nan 10 10 10 10 11 12 13 13 13 12 12 12 13 12 11 10 10 11 12 13 13 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 13 12 12 12 13 13 13 13 13 14 14 14 14 14 13 11 9 6 5 5 6 8 11 13 16 17 18 18 17 16 15 16 17 18 18 19 18 18 17 17 17 16 14 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 12 11 11 10 8 8 9 11 14 17 17 16 14 12 11 11 11 10 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 11 12 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 10 9 9 nan
nan 9 9 9 10 12 14 15 15 14 13 13 13 13 12 10 9 9 11 12 13 12 11 11 11 12 12 12 12 12 12 12 11 11 12 13 13 13 12 11 12 12 13 12 12 13 13 13 13 13 12 11 10 8 7 7 7 8 9 11 13 16 18 19 19 19 17 15 16 17 19 20 20 19 17 16 15 15 14 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 12 12 11 11 11 12 12 12 11 10 9 8 7 8 10 13 15 16 16 15 13 12 12 10 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 13 14 14 13 13 13 13 12 11 10 9 9 nan
nan 8 7 8 9 10 13 16 17 17 15 14 13 12 11 10 10 10 11 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 11 11 12 12 12 12 12 11 10 9 8 8 8 9 9 10 11 13 15 17 18 19 19 17 16 15 16 18 19 20 18 16 15 14 13 12 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 12 12 12 11 11 10 9 8 8 8 9 12 13 14 15 14 13 13 12 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 14 14 14 13 12 11 11 11 nan
nan 8 6 6 7 9 13 16 18 18 16 15 14 12 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 10 10 11 13 14 16 16 17 17 16 14 14 14 15 16 17 17 17 18 18 16 15 14 12 12 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 13 13 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 11 12 14 14 13 13 11 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 13 nan
nan 7 5 5 5 10 14 17 18 17 16 15 14 12 12 12 11 12 12 12 11 11 11 11 11 11 12 13 12 12 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 12 13 14 15 15 15 14 12 12 11 11 12 12 13 14 16 18 20 19 19 18 17 16 14 14 13 13 13 13 13 13 13 13 14 15 16 15 15 15 16 15 15 15 15 15 15 15 15 15 15 15 14 13 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 9 9 11 13 13 13 13 11 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 14 13 13 13 14 14 14 nan
nan 8 5 5 6 10 15 17 18 17 15 14 13 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 13 14 15 15 14 12 11 10 10 10 10 10 10 11 12 14 16 18 18 19 20 19 18 17 16 15 15 15 15 15 15 15 16 17 17 17 17 17 17 17 17 18 17 17 16 16 16 17 17 18 17 15 14 13 13 12 12 12 12 12 11 12 12 12 12 12 12 11 10 9 9 10 12 13 13 12 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 nan
nan 9 7 6 7 11 15 17 17 16 15 14 13 12 11 11 10 10 10 10 10 11 11 11 10 9 9 9 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 11 12 14 16 16 15 13 11 9 9 10 10 10 10 10 10 11 12 13 14 16 17 17 17 17 16 16 16 16 16 16 16 16 16 16 17 17 17 18 18 18 18 18 17 17 16 17 17 18 19 19 19 18 17 16 15 15 14 14 13 12 12 12 12 12 12 12 11 10 9 9 9 11 11 11 12 12 12 12 13 13 12 12 12 11 11 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 nan
nan 10 9 8 8 10 12 14 16 17 17 15 13 12 11 10 10 10 10 10 10 11 11 11 11 10 9 9 10 11 11 11 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 8 8 10 14 17 18 17 15 12 10 10 10 10 10 10 10 11 11 10 10 11 12 13 13 13 13 13 13 14 14 14 14 14 14 14 15 15 15 15 16 16 16 16 16 15 14 14 15 17 18 18 19 20 20 20 19 18 18 17 17 15 14 13 12 13 13 12 12 11 9 9 10 11 11 11 11 11 12 12 13 13 14 14 14 14 13 12 11 10 10 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 nan
nan 10 9 8 7 7 8 10 14 16 16 15 13 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 9 9 9 10 9 9 7 5 4 4 5 9 14 18 20 19 16 13 11 11 10 10 10 10 11 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 14 14 14 13 12 11 11 12 13 14 15 16 18 19 20 20 20 20 20 19 18 16 15 14 14 14 14 13 12 11 11 12 13 13 12 12 12 12 12 13 13 14 15 16 15 15 14 13 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 nan
nan 11 10 8 7 5 5 7 10 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 9 9 9 9 8 6 3 1 1 3 7 13 16 19 19 16 13 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 10 10 10 10 11 12 13 14 15 16 18 19 21 21 21 20 19 18 18 17 17 16 16 14 14 14 14 15 15 15 14 14 13 13 13 13 14 15 16 17 17 16 15 13 12 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 nan
nan 12 11 10 9 7 7 9 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 8 6 3 1 0 3 8 12 15 18 18 15 13 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 15 18 19 20 21 21 21 20 20 19 19 18 17 17 17 16 16 16 17 17 17 16 14 13 13 13 15 16 17 18 18 16 15 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 10 8 5 2 1 3 8 12 15 19 18 15 13 10 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 11 11 10 10 10 9 9 9 9 9 10 11 13 15 17 19 21 22 22 22 21 21 20 20 20 20 19 19 19 19 20 20 19 17 15 14 13 15 16 17 18 18 17 16 15 13 12 11 11 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 11 12 12 11 11 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 6 3 2 4 8 12 16 18 17 15 13 11 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 10 12 14 16 18 19 21 21 22 22 21 21 21 21 21 21 20 21 21 21 21 19 17 15 15 15 16 17 18 19 18 18 17 15 13 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 8 5 4 5 8 11 15 16 15 14 12 11 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 13 14 16 17 19 20 20 21 20 20 20 19 19 19 20 20 20 19 19 19 18 17 17 17 17 19 19 19 19 18 16 15 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 14 15 16 16 16 16 16 15 15 15 16 16 16 16 17 18 18 18 18 17 18 18 19 19 20 20 18 17 16 14 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 9 9 9 10 10 11 11 11 12 11 11 11 11 11 11 12 12 13 14 15 16 16 17 17 17 17 17 18 20 21 20 19 18 17 16 15 13 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 10 10 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 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 11 12 12 12 11 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 12 13 14 15 16 16 15 15 17 20 20 21 21 21 20 19 18 16 14 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 nan
nan 10 10 10 11 11 11 11 11 10 10 10 11 11 10 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 12 12 12 11 10 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 11 12 13 13 13 13 14 16 18 20 21 22 22 22 21 20 18 16 14 13 12 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 8 8 8 8 8 8 9 9 nan
nan 10 10 10 10 10 10 11 11 10 10 10 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 9 9 10 11 12 12 12 12 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 11 10 10 13 16 18 19 20 21 20 21 22 22 21 19 17 15 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 8 8 7 8 8 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 10 11 12 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 8 7 9 12 15 17 18 18 18 17 20 22 22 22 21 19 17 15 14 13 12 11 11 11 11 10 10 10 11 11 10 10 10 10 11 11 11 10 9 8 8 8 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 10 11 12 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 9 8 7 8 10 13 15 16 16 16 17 19 21 21 21 21 20 19 17 16 15 13 12 12 12 11 10 11 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 8 8 9 11 12 13 13 12 10 10 9 8 8 8 8 8 9 9 9 8 9 9 10 10 11 10 10 10 9 9 9 10 11 12 14 15 16 17 18 18 19 20 21 21 20 19 18 16 14 14 13 12 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 10 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 8 7 7 7 7 9 11 13 13 13 11 10 9 7 7 7 7 8 8 8 8 7 8 8 9 9 10 10 10 10 10 10 11 10 10 11 12 14 16 17 17 17 18 20 20 20 20 20 19 17 16 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 10 10 11 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 8 7 6 6 7 9 11 12 13 12 12 9 8 7 7 7 8 7 7 7 6 5 5 6 7 8 8 8 9 10 11 12 12 11 11 12 14 16 17 17 17 17 18 18 19 20 20 19 18 17 16 16 14 14 13 12 11 10 10 10 10 10 10 10 10 9 10 10 10 9 10 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 7 7 8 10 12 13 12 10 8 7 7 7 8 8 8 7 6 4 4 4 5 6 7 8 8 10 11 12 12 12 12 13 14 16 17 17 16 15 16 16 18 19 19 18 17 17 16 16 16 16 15 13 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 10 10 11 11 11 10 10 10 9 8 7 7 9 11 12 12 10 8 6 6 7 7 7 8 7 6 5 4 4 5 6 6 7 8 8 9 10 11 12 13 13 15 16 16 15 15 14 14 15 17 17 16 15 16 17 18 18 18 17 16 14 14 13 12 12 11 11 11 11 10 10 10 10 10 10 9 9 10 10 nan
nan 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 10 10 10 11 12 11 10 9 8 9 10 11 11 9 7 6 6 7 8 8 8 7 6 5 4 4 5 5 6 6 6 6 7 8 10 12 14 14 14 14 14 14 14 14 14 14 14 13 13 15 18 21 22 21 20 18 17 16 15 14 13 12 12 12 12 11 11 10 10 11 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 10 10 10 10 10 10 10 10 10 9 10 11 12 12 11 10 10 9 10 11 10 9 7 6 7 8 9 10 9 8 6 5 4 3 4 4 5 5 5 5 5 8 11 13 14 14 14 13 13 13 13 13 13 12 11 10 12 16 21 25 25 23 21 19 18 18 16 15 14 14 13 13 13 12 11 11 10 10 11 11 11 10 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 11 10 10 10 10 9 8 8 9 10 10 10 9 8 6 4 4 3 3 4 5 5 4 4 4 6 10 12 14 14 13 13 12 12 12 12 11 10 10 11 14 18 22 24 23 23 22 20 20 19 18 16 16 16 15 15 14 13 11 10 9 10 10 11 11 10 10 9 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 10 11 10 9 10 11 12 12 11 11 10 10 9 9 9 9 10 11 10 10 8 6 5 4 4 4 5 5 5 4 3 3 5 8 10 12 13 13 13 13 12 11 10 9 9 10 12 15 17 19 19 20 21 21 21 21 21 19 18 18 17 17 17 16 14 11 9 9 9 10 11 11 11 11 9 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 9 8 9 10 10 10 10 10 11 12 12 12 12 11 10 10 9 7 7 9 11 12 12 10 7 6 6 6 6 5 5 5 4 4 4 5 6 9 12 14 15 15 13 12 11 9 9 9 10 13 14 14 14 15 16 18 19 20 21 21 20 19 18 17 18 19 18 16 13 10 9 9 10 11 11 12 11 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
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 4 4 5 7 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 4 6 7 7 5 5 11 20 29 34 40 46 48 50 50 48 41 37 33 29 24 21 19 17 15 13 12 13 15 18 19 21 26 31 34 45 57 65 70 70 70 75 76 69 60 56 58 57 53 48 48 44 43 45 50 62 82 95 98 99 100 100 105 99 81 61 49 45 53 71 85 91 98 102 104 100 95 93 90 91 93 94 92 88 85 82 79 77 75 72 67 58 51 49 49 38 18 7 1 0 0 0 0 0 0 1 7 70 151 225 283 330 360 375 387 389 373 354 346 379 370 322 280 293 362 462 544 573 522 327 183 111 94 106 156 251 307 314 289 242
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