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 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 11 11 10 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 11 10 10 9 9 10 11 12 12 12 12 13 13 12 11 10 9 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 11 11 11 10 9 8 8 7 7 7 7 7 7 8 10 11 11 11 11 12 12 11 8 6 5 5 6 6 5 5 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 10 11 13 16 21 nan
nan 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 11 10 10 11 10 10 9 9 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 13 13 12 11 11 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 10 11 11 11 10 9 8 8 7 7 7 7 7 7 8 10 11 11 11 12 12 10 9 6 5 6 8 8 8 7 6 6 5 5 5 6 8 9 9 10 10 10 10 10 9 9 8 8 8 10 11 13 18 nan
nan 7 7 7 6 6 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 12 12 12 11 11 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 8 9 9 10 11 10 10 9 9 8 7 7 7 7 7 8 9 10 10 11 12 12 11 10 7 6 7 8 10 10 9 8 7 6 6 5 5 7 8 9 10 10 11 10 10 10 9 9 8 8 8 9 11 15 nan
nan 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 13 13 12 11 10 10 10 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 9 8 8 9 11 11 10 10 9 8 7 6 6 6 6 7 9 10 10 10 10 10 10 10 9 7 7 8 10 12 nan
nan 7 6 6 6 7 7 7 7 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 12 13 14 12 11 10 10 9 10 10 10 10 9 9 9 9 9 9 8 8 7 8 9 9 8 7 8 9 10 10 10 9 8 8 9 9 8 8 8 8 8 9 9 10 10 11 12 11 10 9 9 11 12 11 10 10 9 9 8 7 6 5 6 7 8 9 11 11 11 11 10 10 8 7 7 9 10 nan
nan 7 7 7 7 7 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 8 7 7 8 8 9 9 10 10 10 10 9 9 10 12 13 13 12 11 10 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 8 9 10 10 9 8 9 10 10 10 9 8 8 9 9 9 9 8 8 8 9 9 9 9 10 11 11 11 11 11 12 12 11 11 10 10 10 9 9 8 7 6 7 7 8 10 11 11 11 10 11 10 8 8 8 10 nan
nan 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 9 9 9 10 11 11 12 11 11 10 9 9 9 10 11 10 9 8 8 8 9 9 9 8 7 8 9 10 11 10 9 9 9 10 10 9 8 8 9 9 9 9 9 8 8 9 9 9 9 9 10 11 11 11 12 11 11 11 11 11 11 11 10 10 10 9 8 7 7 8 9 10 10 10 10 10 10 9 9 10 10 nan
nan 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 10 10 11 10 9 9 8 8 9 9 9 8 8 8 9 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 11 11 11 11 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 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 9 8 8 7 7 8 8 9 9 9 9 10 10 10 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 9 8 8 8 8 8 9 9 10 9 nan
nan 8 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 8 7 7 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 8 8 8 9 9 9 8 9 10 10 10 9 8 7 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 12 11 9 8 8 8 7 8 9 10 9 nan
nan 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 10 9 9 9 10 9 9 8 9 9 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 10 9 9 8 8 9 10 10 nan
nan 8 8 8 7 7 7 6 7 8 9 9 10 10 10 10 9 8 7 8 8 9 10 10 9 9 8 8 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 10 10 9 9 9 9 9 8 7 7 7 8 9 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 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 9 10 11 11 nan
nan 8 8 8 8 7 7 6 7 7 8 9 9 9 9 9 8 8 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 12 12 11 11 12 12 13 13 13 13 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 8 8 8 9 9 8 8 7 7 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 10 10 10 10 11 11 10 10 9 9 10 10 11 11 11 11 10 11 12 nan
nan 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 11 11 12 12 12 12 11 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 10 12 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 11 11 11 11 11 11 11 10 11 12 12 11 9 8 8 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 10 10 9 9 10 10 11 11 11 10 10 9 9 10 11 11 11 11 10 10 11 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 12 13 13 13 12 11 9 8 8 8 8 9 9 10 10 9 9 9 9 9 10 11 13 13 12 12 11 11 11 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 11 12 13 13 14 14 14 14 14 14 15 14 12 10 9 9 8 8 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 11 11 10 9 9 9 9 10 10 11 10 10 9 9 9 10 11 12 11 10 9 10 nan
nan 9 10 10 10 9 9 9 8 8 8 8 8 9 10 11 11 11 10 9 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 9 9 10 9 10 10 10 11 12 13 13 12 11 9 7 7 7 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 8 9 9 9 8 6 5 2 1 -0 0 2 5 8 9 10 12 13 15 15 15 15 16 15 15 13 12 11 11 10 10 10 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 11 11 10 10 9 8 8 9 9 10 10 10 9 9 9 10 11 12 12 11 10 9 nan
nan 9 10 10 10 10 9 9 9 9 9 8 8 9 10 11 11 11 10 9 9 8 9 9 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 10 8 7 7 7 8 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 8 8 7 7 7 6 6 6 7 8 9 9 8 5 2 -0 -3 -6 -6 -5 -3 -2 -1 0 2 4 5 7 10 12 13 14 14 14 14 14 14 14 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 9 9 8 8 9 11 12 13 13 11 10 nan
nan 9 10 10 10 9 9 10 10 10 9 9 8 9 9 10 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 11 13 14 15 13 9 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 10 10 8 4 -0 -3 -4 -4 -4 -2 -1 1 1 1 0 1 1 2 3 5 7 9 10 10 11 12 12 12 14 15 15 14 13 12 12 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 10 11 12 12 12 12 nan
nan 9 9 9 9 9 10 10 10 10 10 9 9 8 9 10 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 15 17 17 16 11 7 5 5 6 7 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 9 10 11 9 5 2 -1 -1 0 2 4 5 6 7 7 7 7 6 6 5 4 3 2 2 4 5 6 8 8 9 10 11 11 11 12 12 12 12 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 9 10 10 10 10 9 9 9 9 8 8 9 10 11 11 12 12 nan
nan 9 9 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 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 11 11 13 15 18 20 18 14 8 5 4 4 5 6 8 8 9 9 9 10 10 10 10 10 10 9 9 10 9 8 7 6 5 6 7 9 10 11 11 11 9 6 4 4 6 8 10 10 10 10 11 11 11 11 11 10 9 8 5 1 -2 -2 -2 -1 1 2 4 6 7 7 7 9 9 10 10 11 11 10 9 8 8 7 7 7 8 9 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 9 9 9 9 10 10 10 10 11 nan
nan 9 9 9 9 10 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 9 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 11 13 17 19 19 16 11 6 3 2 2 3 5 7 8 8 9 9 9 10 10 10 10 10 10 10 10 9 8 7 6 7 9 11 12 13 13 12 11 10 9 10 11 14 15 16 16 16 16 15 14 12 12 12 12 12 11 9 6 2 -1 -3 -4 -4 -4 -2 -1 1 3 6 7 8 7 8 8 8 9 8 8 7 7 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 nan
nan 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 9 8 8 8 7 7 8 8 8 8 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 12 16 17 16 12 8 4 3 2 2 3 5 7 8 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 8 10 11 12 12 12 12 11 11 12 13 15 18 19 20 20 20 20 18 16 14 13 12 12 12 12 11 10 9 7 4 1 -1 -3 -4 -5 -4 -2 2 5 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 10 10 9 8 8 8 nan
nan 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 11 14 14 13 10 7 4 3 3 3 4 5 7 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 8 8 9 10 10 11 11 11 11 12 12 14 16 17 17 17 17 17 17 17 16 15 14 13 12 11 11 11 11 11 10 8 6 4 2 -1 -3 -4 -3 -1 2 5 5 6 7 7 7 6 6 6 6 7 7 7 8 9 9 10 10 10 10 9 9 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 8 8 8 7 nan
nan 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 10 10 10 8 6 4 3 4 4 4 5 7 8 9 9 10 10 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 12 13 13 12 10 9 11 13 15 17 17 16 15 13 12 11 11 11 10 10 10 9 9 8 6 3 0 -2 -4 -5 -3 -0 2 5 7 7 7 7 6 6 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 9 10 10 11 10 9 8 8 8 8 nan
nan 9 9 9 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 6 6 6 7 7 7 6 5 5 5 5 5 5 6 8 9 10 10 10 9 9 9 8 8 8 9 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 11 10 7 5 5 6 9 12 14 16 16 16 16 14 13 12 11 11 10 10 10 10 10 10 8 7 4 1 -2 -4 -4 -3 -1 3 6 7 8 7 7 7 7 6 7 7 7 8 9 10 10 10 9 9 9 8 8 8 9 9 10 11 11 11 11 10 10 10 9 9 9 10 11 10 9 8 8 8 8 nan
nan 9 9 10 10 10 10 10 10 11 12 12 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 8 6 5 5 5 6 8 8 8 8 7 7 6 6 6 7 9 10 10 10 9 8 7 7 7 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 11 11 10 8 6 6 7 9 11 11 12 13 15 16 17 17 16 15 15 14 13 13 12 12 12 12 12 12 10 8 6 3 -0 -3 -4 -2 0 4 7 8 7 7 6 5 5 5 5 6 8 10 10 10 9 9 9 9 8 9 9 10 11 11 11 11 11 11 10 10 9 8 8 9 10 10 9 8 8 8 9 nan
nan 10 10 10 11 11 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 8 7 6 7 9 11 11 11 11 9 8 7 6 6 7 8 9 9 9 9 8 8 8 9 10 9 9 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 9 9 8 9 12 15 16 15 13 12 12 13 14 16 18 19 19 19 19 19 19 18 18 19 19 19 17 15 14 12 10 7 3 -1 -3 -4 -2 1 5 7 7 7 6 5 4 4 5 7 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 10 9 8 7 7 8 8 8 8 8 8 8 nan
nan 10 10 11 11 11 11 11 11 11 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 8 8 10 13 15 16 15 13 11 8 7 6 6 6 7 8 8 8 8 9 10 11 12 12 11 10 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 9 12 14 16 17 15 14 13 13 12 12 13 15 17 18 20 21 21 22 22 22 22 23 23 22 21 19 18 17 15 12 8 4 -0 -4 -3 1 4 7 8 8 7 5 4 5 6 7 8 9 9 10 10 10 10 9 9 10 10 10 11 10 9 10 10 11 11 9 8 7 6 6 6 7 7 8 8 nan
nan 10 11 11 11 11 11 12 12 12 12 12 11 10 9 9 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 10 9 8 9 12 17 20 19 17 14 10 8 7 6 6 6 8 9 9 9 9 10 11 12 12 11 11 10 10 9 9 9 9 10 10 10 11 10 10 9 9 9 8 8 9 9 11 12 12 12 12 13 13 12 12 11 11 11 12 14 16 17 17 17 17 17 17 17 18 20 22 23 23 23 24 23 21 17 12 6 2 3 5 7 8 8 7 6 6 5 5 6 7 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 10 12 12 11 10 8 7 6 5 5 7 8 9 nan
nan 10 10 11 11 11 12 13 13 13 12 12 11 10 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 9 9 11 15 20 22 20 17 13 10 8 7 6 6 7 10 11 12 11 10 10 11 12 11 11 10 10 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 13 13 12 12 10 9 8 9 10 13 16 20 22 23 25 26 27 27 24 19 14 11 10 9 9 9 8 7 6 5 4 4 5 6 8 9 10 11 11 11 11 10 10 9 9 9 9 10 11 13 14 13 12 11 10 8 6 7 8 10 10 nan
nan 10 10 10 11 12 12 13 13 12 12 11 10 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 12 15 18 21 22 19 15 12 9 7 6 5 6 9 12 13 13 12 11 11 11 12 12 11 10 10 9 9 9 10 10 10 10 11 11 12 11 11 11 10 10 10 10 11 11 11 10 10 8 6 5 6 7 8 9 10 11 12 11 11 10 9 8 7 7 7 7 8 10 12 14 16 17 19 22 24 25 23 20 16 14 13 12 11 10 8 6 5 3 3 3 4 6 7 8 9 10 11 11 11 11 10 10 10 10 10 11 13 14 15 15 14 13 12 10 10 10 11 11 nan
nan 10 10 10 11 11 12 12 12 11 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 12 15 19 21 20 17 13 10 7 6 5 4 6 10 13 14 13 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 11 12 12 12 12 12 11 8 5 3 3 5 7 9 10 11 11 11 10 10 9 8 8 8 8 8 8 8 9 10 10 10 11 13 14 16 16 16 15 15 14 13 12 12 11 9 6 5 3 3 2 2 3 4 7 8 9 10 11 11 11 11 10 10 10 11 12 13 14 15 15 15 13 12 11 10 9 9 nan
nan 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 11 15 19 20 18 15 11 8 6 4 4 5 8 13 14 14 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 11 10 8 6 3 2 4 6 8 10 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 8 7 5 5 6 8 9 10 12 13 13 12 12 12 11 9 7 4 2 0 -1 -1 -0 2 4 5 7 8 9 10 10 10 9 9 10 11 11 12 13 13 13 12 10 9 8 7 7 nan
nan 10 10 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 16 19 18 16 13 9 6 5 4 4 6 10 13 14 12 10 9 9 9 9 8 8 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 11 12 12 11 11 10 10 10 9 8 6 5 4 4 5 7 9 10 10 9 9 8 9 9 10 10 10 9 9 8 8 8 8 8 6 4 2 1 2 3 4 6 7 8 8 9 10 10 9 7 5 2 -0 -2 -3 -4 -3 -1 0 2 4 6 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 6 6 nan
nan 10 10 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 13 15 18 18 17 14 11 7 5 4 4 5 7 10 11 10 9 9 9 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 11 11 12 11 10 9 9 9 8 7 6 6 6 5 5 6 7 8 8 8 8 8 9 9 10 10 11 10 10 9 8 9 10 11 12 11 8 5 2 1 0 1 1 2 3 3 4 5 6 7 6 5 3 0 -2 -3 -4 -3 -3 -1 0 3 6 8 9 9 9 8 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan 10 10 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 11 11 11 11 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 10 10 10 11 12 15 18 18 16 13 9 6 4 4 4 5 7 8 8 8 7 9 10 11 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 9 8 7 7 8 9 11 11 11 10 10 9 9 9 8 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 10 10 11 11 10 10 11 12 15 17 18 16 14 9 5 3 2 1 1 0 0 2 3 5 7 8 8 7 5 3 1 0 0 -1 -1 -1 0 3 6 8 9 9 8 8 9 9 9 8 8 7 8 8 8 8 8 nan
nan 10 10 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 11 12 11 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 12 14 16 17 15 12 8 5 4 3 4 5 6 7 7 7 8 10 11 10 10 9 10 11 12 11 10 10 10 10 10 10 10 10 9 7 4 2 2 3 6 9 10 11 11 11 11 11 10 9 8 7 6 6 6 7 8 8 8 8 9 9 9 9 9 10 10 10 11 11 12 12 13 15 18 20 21 21 19 14 11 8 6 5 4 4 4 5 6 8 9 10 10 9 7 6 5 5 4 2 1 -0 0 2 5 7 8 8 9 9 10 9 9 8 8 8 8 8 9 9 nan
nan 10 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 11 13 15 16 15 12 8 5 4 4 4 5 5 6 7 8 10 11 11 10 9 9 10 11 11 11 11 11 11 10 9 10 10 10 9 6 3 2 1 2 5 8 10 11 12 13 13 13 12 10 8 7 6 6 6 7 7 8 8 9 9 9 9 10 10 10 11 11 12 12 13 13 13 13 15 17 19 22 23 21 19 17 14 13 12 11 10 9 9 9 9 10 10 10 9 9 9 8 7 6 4 1 0 0 2 5 7 8 9 10 10 10 9 9 9 9 9 9 9 10 nan
nan 10 10 10 11 11 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 10 10 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 15 16 15 13 10 7 5 4 4 5 5 6 7 9 10 10 10 10 9 10 11 11 11 11 11 11 10 9 9 10 10 10 10 8 7 7 6 6 8 9 10 10 11 12 13 13 13 11 9 7 6 5 5 5 5 6 7 8 9 9 10 11 11 11 12 12 13 13 14 14 14 13 13 13 15 18 20 22 23 22 20 19 19 18 17 16 15 13 12 12 12 12 12 12 12 11 10 8 5 2 0 -0 2 4 6 7 8 9 10 10 11 10 10 10 9 9 10 10 nan
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nan 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 12 13 13 14 13 13 13 13 13 13 13 12 12 12 12 13 13 14 14 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 16 20 23 25 24 22 22 22 23 23 23 22 22 21 21 21 21 20 20 19 18 14 11 9 8 8 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 13 12 12 12 11 11 11 11 12 12 12 11 10 10 10 10 10 11 12 13 13 14 14 13 12 11 10 10 10 10 10 9 9 8 8 9 11 11 12 11 11 10 9 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 14 14 14 14 14 14 13 12 11 10 nan
nan 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 13 14 14 14 14 13 13 12 13 13 13 13 13 13 12 12 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 15 18 21 23 21 17 16 18 20 21 21 21 21 20 20 21 21 20 20 19 18 15 13 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 12 13 13 13 12 11 10 10 10 11 11 10 8 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 12 12 11 10 10 nan
nan 10 9 9 9 9 11 12 13 13 13 12 12 12 12 12 12 13 14 15 15 14 13 13 12 12 12 12 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 15 18 20 22 19 14 13 13 13 14 14 14 14 15 15 16 17 17 17 16 15 13 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 10 10 10 10 10 11 12 13 13 12 11 10 10 10 11 10 9 7 7 7 7 7 7 8 9 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 13 13 13 12 12 11 11 11 11 nan
nan 8 7 5 4 5 8 13 16 17 16 14 12 12 12 12 12 13 14 15 14 13 13 13 12 12 12 12 12 13 14 13 13 13 13 13 13 13 13 13 13 13 14 14 13 14 14 14 14 14 13 13 13 14 13 13 13 14 16 18 20 19 16 14 11 8 6 6 7 8 10 11 13 13 14 14 13 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 10 9 8 8 8 8 8 8 7 7 8 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 12 12 12 12 13 13 13 13 13 14 14 14 14 13 13 12 12 12 12 12 12 nan
nan 9 6 4 2 3 8 14 18 21 20 17 14 13 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 15 17 18 17 16 13 9 6 5 5 6 8 10 12 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 9 9 8 8 9 9 9 8 8 8 8 8 7 8 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 13 13 13 12 12 12 12 12 nan
nan 10 8 5 3 5 11 15 19 20 20 17 15 14 13 12 12 11 12 12 13 13 13 12 12 12 12 12 11 11 12 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 11 12 13 15 16 16 15 12 11 10 9 9 10 12 13 15 17 17 16 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 7 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 nan
nan 11 9 7 7 9 12 14 15 16 16 15 14 13 13 12 12 11 12 12 12 13 13 12 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 13 12 11 10 9 9 10 12 14 16 17 16 15 14 14 14 14 14 14 16 17 18 17 16 15 15 14 14 13 12 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 nan
nan 11 10 9 9 9 10 11 13 15 15 14 13 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 10 9 7 7 8 10 13 16 17 18 17 16 15 15 15 15 15 15 15 16 16 17 17 17 17 16 16 15 14 12 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 13 13 12 12 12 11 11 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 11 12 12 12 12 12 12 11 11 11 11 11 10 10 11 10 10 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 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 nan
nan 12 11 10 8 7 7 10 14 17 17 16 14 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 11 10 8 6 4 4 5 10 17 20 21 20 18 16 15 15 15 15 15 15 15 15 15 15 16 17 18 18 17 17 16 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 10 10 11 10 10 11 11 11 11 11 12 12 12 12 12 nan
nan 12 12 10 8 7 8 11 15 17 17 15 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 7 4 2 1 2 9 17 21 23 23 20 16 14 14 14 15 15 15 15 15 14 15 15 16 17 17 17 18 18 18 18 18 17 16 15 15 15 14 14 14 14 14 14 14 14 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 12 11 11 10 10 11 12 14 14 14 13 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 7 3 0 -1 1 8 15 20 23 23 19 16 14 13 13 14 14 15 15 14 14 14 14 14 15 15 16 17 18 18 18 19 19 18 18 17 16 16 16 15 15 15 15 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 4 1 -1 0 6 12 17 22 21 18 15 13 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 15 15 16 16 17 18 18 18 17 17 17 17 16 16 15 14 14 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 11 11 11 11 11 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 nan
nan 11 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 9 8 5 3 1 1 5 10 16 20 19 16 14 12 11 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 15 16 16 17 17 16 17 17 17 17 16 15 15 14 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 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 12 11 11 11 12 12 11 10 9 7 6 5 5 7 10 15 17 15 14 13 11 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 15 15 15 16 16 17 17 17 17 17 17 16 16 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 11 11 11 11 11 10 9 8 8 8 9 10 11 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 14 14 15 15 16 17 17 18 18 19 19 19 18 17 16 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 11 11 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 11 11 11 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 14 14 15 16 17 18 19 19 19 19 19 18 17 16 14 13 12 12 12 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 12 12 12 11 10 10 11 11 10 10 10 10 10 10 10 11 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 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 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 10 11 11 11 11 12 12 13 13 14 14 16 17 17 17 18 18 19 19 18 17 16 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 9 10 10 11 12 12 13 13 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 10 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 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 11 11 11 12 12 13 14 15 15 15 16 17 17 18 19 18 18 17 17 16 15 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 9 9 10 10 11 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 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 11 11 11 12 12 13 13 14 14 15 16 17 18 18 18 19 19 18 18 17 15 14 14 13 13 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 10 10 9 9 9 11 12 12 12 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 nan
nan 11 10 10 10 10 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 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 11 10 10 10 10 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 11 11 12 12 12 13 14 15 16 17 18 18 20 21 21 20 18 17 16 14 13 13 13 12 12 12 12 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 12 13 13 13 13 12 12 11 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 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 10 10 11 11 11 11 11 11 11 10 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 11 11 11 11 11 11 11 10 10 10 10 10 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 13 14 16 18 21 23 24 23 21 19 17 16 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 13 13 13 13 12 11 10 10 10 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 12 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 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 9 8 8 7 7 8 8 9 10 11 15 19 22 25 26 26 24 22 21 21 19 16 15 14 14 14 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 11 11 12 13 13 13 13 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 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 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 10 10 10 10 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 7 5 5 5 6 6 8 10 13 18 23 26 27 27 26 25 24 23 21 19 18 17 16 15 15 14 14 13 12 12 12 12 12 12 13 12 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 12 11 11 11 11 11 nan
nan 10 10 10 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 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 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 7 5 4 4 5 6 6 7 9 13 19 23 25 26 26 26 26 24 23 21 21 20 19 17 14 13 13 14 15 15 15 14 14 15 15 14 12 12 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 nan
nan 10 10 10 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 10 10 10 10 10 10 10 10 10 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 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 10 11 11 11 11 11 10 8 6 5 5 6 7 7 7 7 10 15 18 21 22 22 23 23 22 20 20 19 19 17 14 11 11 14 18 21 23 23 21 19 19 17 14 12 11 11 11 11 11 11 11 10 11 11 11 12 12 12 13 13 13 12 12 11 10 10 10 9 9 9 10 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 10 9 7 6 7 8 10 9 8 7 9 11 14 16 16 16 16 16 16 15 15 15 14 12 8 6 9 15 23 29 34 34 31 28 24 20 16 14 12 11 12 12 12 12 11 11 10 11 11 11 12 12 12 13 13 13 13 12 12 12 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 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 11 10 11 11 11 10 10 9 7 7 8 10 11 10 8 8 8 9 10 11 11 10 9 9 9 9 9 9 8 5 1 1 5 13 22 31 38 41 40 38 32 25 20 17 15 14 14 14 13 13 12 11 11 11 11 11 11 11 12 12 13 13 12 13 13 13 11 11 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 nan
nan 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 11 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 11 11 10 10 9 9 8 8 9 9 9 10 9 8 8 8 8 8 7 6 5 4 4 4 4 4 3 -1 -4 -3 0 7 14 22 29 35 39 41 38 31 25 21 19 17 17 16 15 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 13 13 13 12 11 10 10 9 8 9 10 10 11 11 11 11 11 11 10 10 10 10 nan
nan 10 10 10 10 10 10 10 11 11 11 11 10 11 10 11 11 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 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 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 8 8 9 9 9 9 8 8 8 7 5 4 3 3 3 3 3 1 -3 -4 -4 -3 -0 4 9 15 21 30 36 36 33 30 28 25 23 21 19 16 15 14 14 14 13 12 12 11 10 10 11 11 11 12 13 13 13 14 13 12 11 11 10 10 9 10 10 11 11 11 11 10 10 11 11 11 11 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 9 9 9 9 9 8 6 5 4 4 4 4 1 -1 -2 -3 -3 -2 -1 1 4 10 17 22 25 27 30 33 32 30 27 23 20 18 18 17 16 14 13 13 12 11 10 9 10 10 11 12 13 14 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 11 11 11 11 11 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 11 11 11 11 10 10 10 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 9 8 8 8 8 8 8 9 10 11 11 10 10 10 11 9 7 6 5 5 5 5 3 2 1 0 0 0 0 -0 1 3 6 9 12 16 23 30 32 35 34 31 28 25 23 20 17 15 14 14 12 11 10 10 9 10 11 12 13 13 13 13 13 13 12 12 12 12 12 11 10 9 8 9 10 11 11 11 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 1 2 3 5 11 14 14 14 15 16 16 15 15 17 18 19 21 21 20 19 20 22 24 23 20 16 13 13 12 9 6 5 6 9 12 15 18 19 13 13 15 19 23 28 34 43 47 49 52 53 51 47 46 46 43 40 38 36 35 34 30 26 22 20 21 24 32 44 47 50 58 69 77 90 104 107 107 119 130 137 136 127 116 110 102 94 92 95 99 113 119 128 140 148 145 133 121 110 101 92 79 70 73 89 116 146 167 177 179 171 160 153 146 141 139 135 130 124 116 108 102 97 90 83 76 69 59 47 39 35 31 26 20 12 2 1 0 0 0 0 0 0 0 2 13 44 169 224 228 205 174 170 137 130 133 144 175 239 313 336 319 312 335 407 538 715 909 1061 1099 1146 1223 1321 1399 1353 1101 789 527 358 231
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