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 9 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 12 12 13 12 12 12 11 11 10 10 11 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 9 8 8 8 8 9 9 10 10 10 10 12 12 11 10 10 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 12 12 11 11 10 10 10 11 12 14 nan
nan 9 9 10 11 11 10 10 9 9 9 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 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 9 9 9 9 8 7 8 8 9 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 8 9 9 9 9 9 10 12 12 11 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 11 13 nan
nan 8 9 10 10 11 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 10 10 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 8 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 9 8 8 10 11 11 10 10 10 10 11 11 10 10 10 10 10 9 10 11 12 12 12 11 11 10 9 9 10 11 13 nan
nan 9 9 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 8 8 8 8 9 9 10 10 10 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 9 8 8 9 9 9 9 8 9 10 11 12 12 12 11 11 10 10 11 10 10 10 10 10 11 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 10 11 10 10 10 10 11 11 11 11 10 10 9 9 10 11 12 12 12 11 10 9 9 10 10 11 12 nan
nan 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 10 10 9 8 8 9 9 9 8 7 8 9 10 11 12 11 10 10 10 10 11 11 10 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 10 9 9 9 9 9 9 9 9 9 10 11 10 10 10 10 11 11 10 10 10 10 9 8 10 11 13 13 12 11 10 10 9 9 10 10 12 nan
nan 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 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 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 8 8 9 10 10 11 10 10 9 9 10 11 11 10 9 8 8 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 9 9 10 11 nan
nan 9 10 10 10 10 9 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 7 8 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 9 10 10 10 9 9 9 9 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 11 nan
nan 9 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 9 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 9 8 7 6 6 7 8 9 10 10 10 10 10 10 11 11 11 12 12 12 11 11 nan
nan 9 10 10 9 9 8 8 9 8 8 7 8 8 9 9 9 9 8 8 8 9 9 9 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 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 11 11 11 10 10 10 9 9 8 8 8 8 9 9 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 9 9 10 10 10 10 10 9 9 9 10 11 11 12 11 10 8 6 5 5 5 6 7 8 9 10 10 10 10 11 11 11 11 12 11 11 11 nan
nan 9 10 10 9 8 8 8 8 8 8 7 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 8 8 7 7 8 8 8 9 9 9 9 9 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 10 10 10 10 10 9 8 8 8 9 9 9 8 9 9 9 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 8 8 8 9 10 10 11 10 9 8 9 10 11 12 13 12 10 8 7 6 5 5 5 6 7 9 9 10 10 11 11 11 11 10 10 11 11 11 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 9 9 9 9 9 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 10 10 9 9 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 10 9 9 9 10 11 13 14 12 10 8 8 7 7 6 7 7 8 8 8 9 10 10 11 11 10 9 10 10 11 11 nan
nan 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 11 13 12 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 10 10 11 11 nan
nan 8 9 9 9 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 9 8 8 8 8 8 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 9 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 11 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 12 11 11 10 8 8 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 nan
nan 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 12 13 13 13 13 13 12 11 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 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 11 11 12 12 12 9 8 8 7 7 8 10 10 11 10 10 9 9 9 10 10 10 10 10 10 9 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 10 11 11 11 11 10 10 9 10 10 10 9 9 9 9 9 9 10 11 12 11 10 10 10 10 11 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 11 11 13 14 15 13 12 10 9 9 9 9 9 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 10 9 9 9 9 9 9 9 9 10 11 13 13 11 10 9 8 8 8 9 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 nan
nan 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 9 8 7 8 9 10 11 12 13 12 10 10 11 11 11 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 6 6 6 6 7 8 10 13 16 17 16 14 11 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 10 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 9 10 11 12 12 11 11 10 10 10 10 9 9 9 7 5 4 5 7 10 12 13 14 14 12 11 11 11 11 10 10 9 9 8 8 8 8 8 7 7 6 6 6 7 7 8 9 9 10 9 8 6 3 3 3 4 5 7 9 13 16 18 18 16 14 11 9 8 8 8 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 nan
nan 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 7 8 8 9 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 11 10 10 10 11 11 10 9 8 6 4 1 0 3 8 13 15 16 16 15 13 12 12 11 11 10 9 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 9 10 9 7 4 2 2 4 7 8 9 10 12 14 17 18 18 17 15 13 10 8 8 8 9 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 12 11 10 9 9 nan
nan 9 9 9 8 8 9 9 9 10 11 11 12 12 12 11 10 10 10 10 10 9 8 8 7 8 8 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 9 8 9 10 11 11 10 9 7 4 1 -1 0 5 12 16 18 19 19 16 13 12 11 11 11 10 9 9 8 8 8 7 7 7 8 8 7 7 6 6 7 7 8 9 9 9 6 4 4 5 8 9 10 10 11 12 13 15 17 19 20 19 17 14 11 8 7 7 8 8 8 8 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 12 11 10 9 8 8 nan
nan 9 9 9 9 9 10 10 10 11 11 12 13 12 11 11 10 10 10 10 10 9 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 9 10 10 10 9 8 6 2 -0 -0 3 9 15 19 21 21 20 17 14 13 11 10 10 10 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 8 9 10 10 10 11 11 12 13 15 17 19 20 20 18 15 12 10 8 7 7 6 6 6 7 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 11 11 11 11 9 9 9 10 10 10 10 10 10 11 11 10 9 7 7 7 nan
nan 9 9 9 9 10 11 11 11 11 12 13 13 12 11 10 10 9 9 9 10 9 9 8 8 8 9 9 10 10 10 11 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 8 7 5 1 -0 2 7 12 17 20 22 21 20 18 15 13 11 10 10 10 9 9 8 9 8 8 7 7 7 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 10 11 12 14 16 19 20 20 19 17 14 12 10 8 7 6 5 5 5 6 7 8 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 11 10 10 10 10 11 11 10 8 7 6 7 nan
nan 9 9 9 10 11 11 12 12 12 12 12 12 12 11 10 9 8 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 6 3 0 1 4 9 14 18 21 21 20 19 17 15 13 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 10 10 9 10 10 9 9 9 9 10 12 15 17 19 19 19 17 15 13 11 9 8 6 5 4 4 5 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 9 10 10 11 11 11 10 10 10 11 11 10 8 7 6 7 nan
nan 9 9 10 10 11 12 12 12 12 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 8 9 9 9 10 10 9 9 9 9 9 8 8 8 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 4 1 -0 2 6 11 15 19 21 21 20 18 16 14 13 12 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 9 8 8 10 10 10 10 8 7 8 9 11 14 17 18 17 16 15 14 12 11 9 7 6 5 4 5 5 6 6 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 11 12 12 12 11 11 12 12 12 10 9 8 7 8 nan
nan 9 9 10 10 11 12 12 12 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 10 9 7 2 -1 -0 3 7 12 16 19 21 21 20 17 15 13 13 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 9 7 6 7 10 12 12 11 8 6 6 6 6 9 12 14 15 16 16 15 15 14 13 11 9 8 6 5 4 4 5 6 8 9 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 8 8 9 9 9 10 10 11 10 10 11 12 12 12 11 12 13 13 13 12 10 9 9 9 9 nan
nan 9 9 10 10 11 11 12 11 11 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 10 11 10 10 10 10 10 11 10 9 9 10 10 7 2 -0 0 3 7 12 15 18 19 20 19 16 14 13 13 14 14 12 11 11 11 9 8 8 8 8 9 9 9 10 10 10 10 10 11 11 10 10 11 11 11 11 10 8 6 5 8 11 13 13 11 9 7 6 5 5 6 9 11 13 14 15 16 16 16 16 15 13 12 11 9 7 6 5 6 7 9 9 10 10 9 9 9 9 10 10 10 9 9 9 10 11 11 10 9 8 8 8 9 9 10 11 11 11 11 11 10 10 10 10 11 12 12 12 10 10 9 9 9 10 nan
nan 9 9 9 10 10 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 9 9 10 8 4 1 1 4 7 11 14 16 17 18 18 16 14 13 14 15 14 12 11 10 10 9 8 7 8 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 11 11 10 8 7 8 11 13 13 12 10 9 9 8 7 7 7 8 9 11 12 14 16 17 17 18 18 17 17 15 14 12 10 8 7 8 8 8 9 9 9 9 9 9 10 10 9 9 9 10 11 11 11 10 9 8 8 9 9 10 11 11 11 11 10 9 9 8 9 10 11 11 11 11 10 10 10 10 10 11 nan
nan 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 9 9 9 8 5 2 1 3 6 10 12 14 15 16 16 16 14 14 14 15 15 12 11 10 10 9 8 7 8 8 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 11 12 12 12 10 10 10 10 9 9 9 9 9 9 10 11 13 14 16 17 18 19 20 20 20 18 15 13 11 10 9 8 7 7 7 8 9 10 10 10 10 10 9 10 10 11 11 11 11 11 10 10 10 11 12 12 12 11 10 9 7 8 9 10 11 11 12 12 11 11 10 11 12 13 14 nan
nan 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 9 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 8 5 1 0 2 6 9 12 13 14 15 16 16 15 14 14 15 15 13 12 11 10 9 8 7 8 8 9 10 10 11 11 10 10 10 11 11 11 11 10 10 9 9 9 9 10 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 15 16 17 19 21 21 20 17 15 13 11 10 9 7 6 6 7 9 10 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 12 13 12 12 11 9 8 8 9 11 12 12 12 12 12 12 11 12 13 14 15 15 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 10 9 9 9 9 8 7 7 8 9 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 8 4 0 0 2 6 10 12 14 14 15 16 16 16 15 14 15 14 14 13 12 11 9 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 12 12 13 13 14 16 17 18 18 16 14 13 11 10 9 8 7 8 9 10 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 13 13 13 12 11 10 10 11 13 14 13 12 12 12 12 12 12 13 14 15 14 14 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 8 7 7 8 10 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 10 10 10 11 8 3 0 0 2 7 11 14 15 16 16 16 16 16 15 14 14 13 12 12 12 11 9 8 8 8 7 8 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 12 15 17 17 15 13 12 12 12 12 11 11 11 11 11 12 12 12 13 14 14 14 13 12 12 11 10 9 8 9 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 13 14 16 15 14 13 13 13 12 12 12 12 12 12 11 11 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 11 10 9 9 9 10 10 9 8 8 9 11 13 13 12 11 10 10 10 10 10 10 9 10 9 9 9 8 8 8 9 10 10 10 10 9 9 9 10 10 10 7 3 0 -0 3 8 13 15 17 17 17 16 16 15 14 13 12 11 11 11 11 10 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 7 6 6 10 15 19 20 18 16 14 13 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 11 10 10 11 12 12 12 12 11 11 11 11 11 12 13 13 13 13 12 11 11 10 11 11 11 11 12 12 13 15 16 16 15 14 13 13 12 11 10 9 9 9 9 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 10 11 11 11 10 9 9 9 10 11 10 9 8 9 10 12 13 13 12 11 11 11 11 11 11 10 10 10 10 10 9 8 8 8 9 10 11 11 10 9 9 9 9 10 10 7 3 0 0 4 9 13 16 18 18 17 16 14 13 12 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 7 5 3 4 9 15 19 21 20 18 16 14 13 12 11 11 11 11 11 11 11 12 11 11 11 10 11 11 12 13 15 15 15 14 14 14 14 13 13 12 11 10 11 12 13 14 15 15 15 14 13 12 12 11 11 11 11 11 12 12 13 15 15 14 13 12 10 9 9 9 8 8 8 8 7 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 9 9 9 9 9 10 11 10 9 9 10 12 13 13 13 12 11 11 11 11 11 10 10 11 11 11 11 10 9 9 9 9 10 11 11 10 10 9 8 8 9 9 7 4 1 1 5 9 13 16 18 18 17 15 14 12 11 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 3 1 2 7 13 19 21 20 19 18 15 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 10 11 13 16 18 18 18 17 17 17 16 15 14 12 11 12 13 14 15 16 16 16 16 16 15 15 14 14 13 12 11 11 12 12 13 12 12 11 10 8 8 8 8 9 9 8 8 8 nan
nan 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 9 10 11 11 10 9 9 9 9 9 10 10 10 9 9 9 11 13 13 13 13 12 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 10 10 11 10 10 9 9 8 7 8 9 7 4 1 1 5 8 12 15 17 17 16 15 13 12 11 10 9 9 9 10 10 9 8 8 8 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 9 8 8 7 7 6 4 0 -2 1 5 12 18 20 21 20 19 16 13 12 11 11 11 11 12 12 11 11 10 10 10 9 9 9 9 10 12 14 16 17 18 18 18 17 17 16 14 13 13 13 14 15 15 16 15 15 15 16 16 17 17 16 15 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 8 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 7 8 10 12 13 13 13 12 12 11 11 11 11 10 10 9 9 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 7 4 1 1 4 7 10 13 15 15 15 14 14 13 11 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 7 6 3 -1 -2 -1 4 12 17 19 20 21 20 16 14 12 12 12 12 12 12 11 11 10 10 10 10 9 9 8 7 6 7 9 10 13 15 16 16 16 16 15 14 13 13 13 13 13 13 13 13 13 13 14 15 17 18 19 19 18 15 13 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 nan
nan 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 10 12 13 13 13 12 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 8 7 4 1 0 2 5 8 10 12 12 13 14 15 14 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 6 6 8 10 11 11 10 9 8 7 3 -1 -2 -1 5 12 16 18 20 21 20 17 14 13 12 12 13 12 12 11 11 10 10 10 9 9 9 8 7 5 5 5 6 8 10 11 12 12 12 12 12 12 12 12 12 11 10 9 9 9 10 11 13 16 18 20 21 20 18 15 13 12 11 12 12 11 11 10 10 10 9 8 8 8 8 nan
nan 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 7 9 10 11 11 12 12 12 12 11 11 11 11 10 9 9 9 10 11 12 12 11 10 10 9 10 10 11 11 11 10 10 9 9 8 8 7 5 2 0 1 4 7 8 9 10 11 13 15 15 15 14 12 11 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 8 7 5 4 4 7 9 11 12 11 10 9 7 4 0 -1 1 6 10 14 16 19 21 19 17 14 13 12 13 12 12 12 11 10 10 10 9 8 9 9 9 8 7 6 6 5 6 7 7 8 8 7 8 8 9 9 10 10 9 8 6 5 5 5 7 10 13 16 19 21 21 20 18 16 15 14 14 13 13 12 11 11 10 9 9 8 8 9 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 9 10 11 11 11 11 11 12 12 12 12 11 11 10 9 9 10 11 12 13 12 11 10 10 10 10 11 12 12 11 11 11 10 10 9 8 8 6 3 1 1 3 5 7 7 8 9 11 14 16 17 16 14 12 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 9 8 6 5 5 7 8 10 12 12 11 9 7 4 2 1 3 7 10 12 15 19 20 19 16 14 12 12 12 12 12 11 11 10 10 9 8 8 8 9 10 11 10 9 8 7 7 7 7 7 6 6 6 6 6 7 8 7 7 6 5 5 4 3 3 5 9 12 15 18 20 20 20 19 18 17 16 15 14 13 13 12 11 10 9 9 9 9 nan
nan 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 9 9 8 9 9 9 9 9 8 8 8 10 11 11 11 11 10 11 11 11 12 12 12 11 10 10 10 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 8 7 4 1 1 2 4 5 6 6 7 10 13 16 18 18 15 12 10 10 9 9 9 10 10 11 11 10 9 9 9 10 10 9 8 8 7 7 8 8 10 11 11 10 9 7 5 3 4 6 8 9 11 14 18 19 19 16 13 12 12 12 12 12 11 10 10 9 9 8 8 9 10 12 13 12 12 10 10 9 9 8 8 8 7 7 7 6 7 7 7 7 7 7 7 6 4 2 2 5 8 10 13 15 16 17 17 18 18 17 15 14 14 14 13 12 11 11 10 10 10 nan
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nan 10 10 9 9 9 8 7 7 8 9 10 10 10 11 12 13 13 12 10 8 8 9 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 11 11 11 11 10 10 9 10 11 13 14 16 15 14 13 14 16 17 17 16 14 12 12 13 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 10 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 9 9 10 10 nan
nan 12 11 10 9 7 5 4 4 5 7 8 9 10 11 11 12 12 10 9 8 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 12 13 13 13 12 12 11 11 12 12 12 10 9 9 9 10 11 11 11 10 10 10 10 11 11 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 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 10 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 9 9 9 9 10 11 11 nan
nan 15 15 14 13 10 7 5 4 4 5 7 8 9 10 11 11 11 10 10 9 9 10 10 9 9 9 9 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 12 12 11 11 11 10 9 9 8 8 8 8 7 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 12 11 12 11 11 11 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 nan
nan 16 18 19 19 17 12 9 6 5 6 7 8 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 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 9 8 8 8 7 7 7 8 8 8 9 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 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 11 11 11 11 12 12 12 12 11 10 10 10 11 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 nan
nan 14 17 20 22 20 15 11 8 7 8 8 9 9 10 11 11 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 9 9 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 12 11 10 9 9 8 8 8 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 10 11 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 10 10 10 10 10 11 11 12 12 12 11 10 10 11 12 12 13 13 12 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 nan
nan 13 15 18 20 19 15 12 9 8 8 9 10 10 11 11 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 10 10 10 11 11 11 12 12 13 13 13 13 12 11 9 8 7 8 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 10 9 9 10 10 10 11 11 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 10 10 11 11 11 12 12 11 11 11 11 12 12 12 12 11 11 10 11 11 11 11 11 10 10 10 11 12 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 nan
nan 13 14 15 16 16 15 13 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 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 14 15 15 15 14 12 9 7 5 4 6 8 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 11 11 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 10 10 10 11 11 11 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 12 12 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 nan
nan 14 14 14 15 16 17 17 15 13 11 10 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 13 15 17 18 18 16 13 9 5 2 0 2 7 10 11 11 11 11 12 11 11 11 11 12 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 11 11 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 12 12 12 12 12 11 12 12 12 12 11 11 12 12 12 12 11 11 11 12 nan
nan 14 14 14 15 17 18 18 17 15 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 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 11 11 13 16 20 22 22 19 15 10 6 1 -2 0 4 8 10 11 11 11 12 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 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 10 10 10 10 9 9 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 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 11 12 11 11 11 10 10 11 12 nan
nan 15 14 14 15 15 15 15 15 14 13 12 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 9 9 9 10 10 11 12 13 16 21 24 25 23 18 13 8 2 -2 -1 2 6 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 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 12 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 11 12 13 nan
nan 15 15 15 14 14 14 13 13 13 13 12 12 12 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 15 19 24 27 26 22 16 10 3 -1 -1 2 6 9 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 10 11 11 12 12 13 13 nan
nan 16 16 15 15 14 14 13 13 13 13 13 13 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 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 13 17 22 26 27 23 18 11 4 2 2 4 7 9 10 10 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 11 11 11 10 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 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 11 11 11 10 10 10 10 10 11 12 12 13 13 12 nan
nan 16 16 16 16 15 14 14 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 14 18 21 23 21 16 11 7 5 6 7 9 10 10 10 10 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 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 10 10 10 11 11 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 nan
nan 17 17 16 16 15 15 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 13 14 16 17 16 13 11 9 9 9 10 11 11 11 11 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 10 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 11 11 11 11 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 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 9 9 9 9 9 9 11 11 11 12 12 nan
nan 17 17 17 16 16 15 15 14 13 13 13 13 13 12 12 12 12 12 13 13 14 14 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 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 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 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 10 10 10 10 10 10 9 9 8 9 9 10 11 12 12 nan
nan 16 16 16 16 16 16 15 15 14 13 13 13 12 12 12 12 12 13 13 14 14 14 13 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 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 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 10 10 9 9 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 11 11 11 11 11 11 12 12 12 12 12 12 12 12 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 9 8 9 9 10 11 11 12 nan
nan 16 16 16 16 16 16 16 15 14 14 13 13 13 12 12 12 12 13 13 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 10 10 9 9 9 10 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 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 9 9 10 11 11 nan
nan 16 16 16 16 17 16 16 15 15 14 14 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 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 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 13 13 13 13 12 11 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 11 11 11 11 10 9 9 9 9 9 10 10 11 nan
nan 15 16 16 17 17 17 16 16 16 15 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 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 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 12 12 13 13 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 nan
nan 15 15 16 17 17 17 17 17 16 16 15 14 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 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 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 12 12 11 11 11 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 13 13 14 13 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 nan
nan 14 15 16 16 17 17 17 17 16 16 15 15 14 13 13 13 13 13 13 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 12 12 12 11 11 10 10 9 9 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 nan
nan 15 15 16 16 17 17 17 17 17 16 15 15 14 14 14 14 14 14 13 12 12 12 12 13 13 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 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 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 11 11 11 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 11 10 10 10 11 11 11 nan
nan 14 15 16 16 17 17 17 17 17 16 16 15 15 15 14 15 15 14 13 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 13 14 14 14 12 11 10 10 9 8 8 9 9 10 11 12 12 11 11 11 11 11 11 13 14 15 15 14 14 13 11 11 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 nan
nan 14 15 15 16 16 17 17 17 17 17 17 16 16 15 15 15 15 15 14 13 13 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 12 12 12 12 11 11 11 12 13 13 14 15 14 12 11 10 9 8 7 7 7 8 9 11 11 11 12 11 11 12 12 13 15 16 17 16 15 13 11 9 8 7 9 11 12 13 13 13 12 11 10 10 10 10 11 11 12 12 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 nan
nan 14 14 15 15 16 17 17 17 17 17 17 17 16 16 15 15 15 14 14 14 13 13 13 13 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 12 13 14 14 14 13 12 11 11 10 9 7 6 7 8 10 11 12 12 12 12 12 13 16 18 19 19 17 14 11 8 6 4 5 8 11 13 14 13 12 11 10 10 10 10 10 11 11 11 12 12 13 13 13 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 13 14 15 15 16 17 17 17 17 18 18 17 17 16 16 15 15 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 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 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 11 11 12 13 13 14 14 13 13 13 14 13 12 9 7 7 7 9 10 11 11 11 12 12 14 17 19 21 19 17 14 11 8 5 4 5 9 12 13 12 10 9 9 10 10 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 nan
nan 13 14 15 15 16 16 17 17 18 18 18 18 18 17 17 16 15 15 14 14 14 13 13 13 13 13 13 13 13 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 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 14 15 15 15 14 14 13 10 9 8 7 8 8 9 9 10 11 14 17 19 20 19 16 13 10 8 6 5 7 10 12 11 9 7 6 8 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 11 11 12 12 12 11 11 11 11 11 11 12 12 11 11 10 10 11 12 12 12 12 12 nan
nan 13 14 14 15 15 16 17 17 18 18 19 19 18 18 17 16 16 15 15 14 14 14 14 13 13 13 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 13 14 15 14 14 14 15 15 14 12 9 8 7 7 8 8 9 11 14 17 19 19 17 15 13 10 8 7 6 8 10 11 9 7 6 6 9 11 12 12 11 11 11 12 12 13 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 11 12 12 12 11 10 10 10 10 11 12 12 12 12 nan
nan 13 13 14 14 15 15 16 17 18 19 19 19 19 18 18 17 16 16 15 15 14 14 14 13 13 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 13 12 13 14 15 15 14 12 10 10 9 9 9 10 12 15 17 18 17 15 14 12 10 8 7 7 8 10 10 8 7 5 6 8 10 10 11 11 11 12 12 12 12 12 11 10 10 10 10 10 11 11 11 10 10 10 10 11 12 12 12 12 11 10 10 10 10 11 11 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 6 15 17 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 5 10 26 47 66 100 150 202 247 280 304 295 269 236 208 190 178 170 150 123 99 87 84 100 114 122 122 113 89 62 42 28 17 10 10 10 11 9 4 0 0 0 0 0 0 0 2 5 10 16 24 34 45 57 70 89 112 133 153 171 181 167 139 105 75 58 61 77 93 91 81 74 77 97 121 142 162 178 186 190 211 245 286 338 409 485 558 619 660 698 742 791 854 913 944 1072 1214 1332 1416 1475 1497 1438 1344 1221 1047 866
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