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 7 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 8 8 8 10 11 9 8 8 8 8 9 10 10 9 8 8 8 8 8 8 9 10 10 10 9 9 9 7 6 6 6 7 7 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 12 12 13 13 12 11 11 11 10 9 9 9 8 8 7 8 8 9 9 8 8 8 8 7 7 8 9 11 12 12 12 11 11 10 9 8 8 8 9 9 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 8 7 6 6 8 9 10 10 9 9 10 11 12 11 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 9 7 7 7 9 10 13 17 22 nan
nan 7 8 10 10 9 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 7 7 7 9 9 9 8 8 8 8 8 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 9 8 7 6 6 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 13 13 13 12 11 11 11 10 9 9 9 8 8 7 8 8 9 9 8 8 8 7 7 7 7 9 10 11 12 12 12 12 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 8 6 5 4 6 8 10 10 9 9 10 11 12 11 9 9 9 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 11 14 20 nan
nan 7 9 10 11 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 7 7 7 8 9 9 9 9 9 9 8 8 9 10 10 9 9 10 11 10 9 7 6 5 6 8 9 8 8 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 11 10 10 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 9 10 11 12 13 13 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 10 11 10 9 7 4 3 5 7 9 9 9 9 10 12 13 11 9 8 8 9 10 11 10 10 10 10 9 9 9 9 9 8 7 8 9 9 9 8 8 7 7 8 9 12 17 nan
nan 8 9 10 10 10 10 10 10 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 8 7 8 8 9 9 9 9 10 10 9 9 9 10 9 9 9 10 11 12 10 8 6 5 6 8 9 8 8 7 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 12 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 10 11 11 11 10 10 11 11 11 10 9 9 10 11 11 9 6 4 4 6 8 9 9 9 9 12 13 12 10 7 7 8 10 10 9 9 10 10 10 10 10 10 9 7 6 7 8 9 9 9 8 8 8 9 9 10 14 nan
nan 10 10 10 9 9 9 10 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 10 9 9 9 9 9 10 11 11 10 9 9 8 7 7 8 9 10 10 10 9 9 9 9 8 9 10 12 13 11 8 4 3 6 9 9 9 8 7 8 8 9 10 10 11 11 11 11 11 10 10 10 9 10 10 11 12 12 12 12 12 11 10 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 10 11 12 12 11 10 10 11 12 11 9 8 8 11 12 12 9 7 5 6 7 9 9 9 10 12 14 13 11 9 8 9 11 10 10 9 9 10 11 11 11 10 8 7 7 8 9 9 9 9 8 8 9 9 9 9 12 nan
nan 10 10 10 9 9 9 9 9 8 8 8 9 10 11 11 11 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 9 8 7 6 8 10 11 11 10 9 9 9 8 8 9 11 12 12 10 6 2 2 6 9 10 10 9 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 9 10 10 11 12 12 12 12 11 10 9 9 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 10 10 10 11 12 12 12 11 11 11 12 14 13 12 11 12 13 13 11 8 8 9 12 13 12 9 7 6 7 9 10 10 11 12 14 14 13 11 10 11 12 12 11 10 10 11 12 12 11 9 8 7 8 9 10 9 9 9 9 9 9 9 9 10 11 nan
nan 10 10 10 9 9 9 9 8 8 8 9 9 10 10 11 11 10 9 9 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 8 6 6 8 10 11 11 10 10 10 9 8 8 9 10 11 11 10 6 3 3 6 9 11 11 10 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 9 10 10 11 12 12 12 11 11 10 10 10 10 10 9 8 7 6 7 7 7 8 8 8 9 9 9 9 9 8 9 9 9 9 10 10 11 12 12 12 12 11 10 10 9 9 10 11 12 13 13 12 11 11 12 14 15 14 13 13 14 15 13 10 8 8 11 13 13 12 9 7 7 8 10 11 12 13 13 13 13 12 12 12 13 13 13 12 11 12 12 13 11 9 8 8 10 11 10 9 9 9 9 9 9 10 10 10 11 nan
nan 10 10 10 10 10 10 9 8 8 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 9 9 8 8 8 7 6 6 8 10 10 10 10 10 11 10 9 9 9 9 9 10 10 8 5 4 5 8 11 11 11 11 10 9 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 10 10 11 10 9 8 7 6 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 10 11 11 12 12 11 10 9 9 10 10 11 11 11 11 12 11 11 11 12 13 13 13 13 13 14 15 14 13 11 9 10 12 13 12 11 9 8 8 9 11 12 13 13 13 12 12 11 12 13 13 12 12 12 11 12 12 11 10 9 9 10 11 9 8 8 9 9 9 10 11 11 11 11 nan
nan 10 10 10 10 10 10 9 9 9 9 10 10 11 10 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 8 7 7 7 8 9 10 9 9 10 11 11 10 9 8 8 9 10 10 9 7 4 5 8 10 11 11 11 11 10 9 8 9 9 9 9 9 9 9 9 9 10 10 11 10 11 11 11 12 12 12 12 11 11 10 10 9 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 10 10 10 11 10 9 8 9 10 11 11 11 11 10 9 10 10 10 10 11 11 12 12 13 13 13 14 14 14 12 11 10 11 12 12 12 10 9 8 9 10 11 12 12 12 12 11 10 11 12 13 12 11 10 9 10 10 10 10 10 11 12 11 10 8 8 8 9 10 10 10 10 10 12 nan
nan 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 7 6 7 8 8 7 7 8 9 10 9 8 9 11 11 11 9 8 8 9 10 10 9 7 5 6 8 9 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 13 12 12 11 11 10 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 10 11 12 11 11 9 9 9 10 10 10 10 11 11 11 12 12 12 12 13 13 12 11 11 11 11 12 12 11 10 9 9 9 10 10 11 11 11 10 9 10 12 13 13 10 8 7 8 8 8 9 10 11 12 12 11 9 8 9 10 10 9 9 10 10 12 nan
nan 9 9 9 9 9 8 8 9 9 9 9 9 9 10 9 8 8 9 9 9 9 10 10 10 10 10 10 11 10 9 7 5 6 7 7 7 7 8 10 10 9 8 8 9 10 10 10 9 9 9 9 10 9 7 6 6 8 9 10 10 11 11 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 12 12 12 13 13 12 12 11 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 11 11 10 11 12 13 12 11 9 9 9 9 10 10 10 10 9 9 10 13 14 13 9 7 6 7 8 8 8 9 10 11 11 11 10 10 10 10 9 8 9 10 11 12 nan
nan 9 9 9 8 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 9 7 6 6 7 7 7 8 9 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 8 7 7 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 10 11 12 12 13 13 12 12 11 11 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 13 14 15 15 14 13 12 12 11 11 12 13 13 12 11 10 9 9 10 10 10 9 9 9 10 13 14 13 10 8 7 8 8 8 8 8 8 8 9 9 9 10 10 9 8 9 9 10 11 11 nan
nan 9 9 8 7 7 6 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 10 11 10 9 7 6 6 6 6 7 8 8 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 8 8 9 9 9 9 10 10 11 11 10 10 9 9 9 9 8 9 9 10 10 10 10 11 12 12 13 13 12 12 11 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 10 11 12 14 15 15 15 15 15 14 14 12 12 13 13 14 14 13 11 11 10 10 11 10 10 9 9 10 13 14 13 12 10 9 9 8 8 9 9 8 7 7 7 8 8 9 9 10 10 10 10 10 10 nan
nan 10 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 10 11 10 8 7 7 6 6 7 7 8 8 9 9 9 10 9 8 7 8 8 9 10 10 10 10 10 9 9 8 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 10 9 8 8 7 6 6 6 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 13 14 14 14 14 15 15 16 15 14 13 13 13 14 14 14 13 12 11 10 11 10 10 9 9 10 11 13 14 13 12 10 9 9 9 10 10 9 8 8 7 7 7 8 9 10 11 10 9 9 9 nan
nan 11 11 11 11 10 10 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 9 9 10 9 8 7 7 8 8 9 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 11 12 12 13 12 12 12 12 12 12 11 9 8 8 8 7 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 10 10 11 12 13 13 13 13 13 14 15 15 15 14 14 13 13 14 14 14 14 13 11 11 11 11 10 10 9 9 10 12 13 13 12 11 10 9 9 10 10 10 9 9 7 7 7 8 9 10 11 11 10 10 10 nan
nan 11 11 11 12 11 10 10 9 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 10 10 10 10 10 9 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 10 10 11 11 10 10 9 9 11 12 13 13 13 12 12 13 13 12 10 9 8 8 8 7 6 7 8 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 8 9 9 9 9 10 12 14 14 14 13 14 14 12 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 12 12 13 13 13 13 14 14 14 13 13 13 14 14 13 12 11 11 11 10 10 9 9 9 10 12 12 12 11 10 9 10 10 10 10 10 9 8 8 8 8 8 9 10 11 11 11 10 nan
nan 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 12 12 12 12 12 11 10 9 10 11 11 10 9 8 8 10 12 13 14 14 13 13 13 13 12 11 9 9 8 8 7 6 7 8 9 10 9 9 8 7 7 8 9 10 11 10 10 9 8 7 7 7 7 7 8 10 12 14 14 14 14 15 16 15 14 13 11 10 10 10 10 10 11 12 13 13 13 13 12 11 11 12 12 12 12 13 13 14 14 13 13 13 14 13 13 12 11 11 10 10 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 10 nan
nan 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 7 8 8 8 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 10 10 11 11 11 11 11 12 12 12 11 10 10 11 11 9 7 5 5 7 11 13 14 15 15 14 14 13 13 13 12 10 9 8 7 7 6 7 8 9 10 10 9 8 8 7 8 9 10 10 10 9 7 6 6 6 6 6 6 7 9 11 12 12 12 13 16 18 19 18 16 12 10 10 10 10 10 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 13 14 14 14 14 13 13 13 13 12 11 10 10 9 8 9 9 9 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 9 8 8 7 8 8 9 9 10 10 10 11 11 11 10 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 9 9 10 11 11 12 11 11 11 11 12 12 13 12 12 11 9 6 3 2 4 9 13 15 16 17 17 16 15 14 13 13 12 11 9 8 7 7 7 7 9 10 11 11 10 9 8 8 9 10 10 9 8 7 5 5 5 6 7 6 7 7 8 9 10 10 11 12 15 18 20 21 19 15 13 12 11 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 13 13 13 12 12 11 11 10 9 9 9 9 9 9 8 9 10 10 11 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 nan
nan 9 8 8 7 8 9 10 11 11 11 11 11 11 10 9 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 9 10 11 10 10 9 9 9 9 9 9 10 11 11 12 12 11 11 11 11 12 13 13 13 12 10 6 2 0 2 7 13 18 20 21 22 21 19 17 15 14 13 12 11 9 8 7 7 7 8 9 10 11 11 10 9 8 9 10 10 10 9 8 6 4 4 5 7 7 7 7 7 8 8 9 9 10 11 13 15 18 19 18 17 16 15 14 13 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 13 13 12 12 12 12 11 10 10 10 9 8 8 8 10 11 10 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 nan
nan 9 9 8 7 7 9 10 11 11 11 12 12 11 10 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 11 10 10 8 8 8 8 9 9 11 12 12 12 12 11 11 11 12 12 13 13 12 11 8 4 1 2 6 12 18 22 24 27 28 26 23 20 17 15 13 11 10 9 8 8 8 8 9 10 11 12 11 10 8 8 9 10 11 11 11 9 7 6 5 6 7 8 8 8 8 7 7 7 8 9 9 11 12 14 15 15 15 15 15 14 15 15 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 14 13 13 13 13 13 13 13 12 11 10 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 6 5 7 nan
nan 9 9 8 7 7 8 10 11 12 12 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 8 8 8 8 8 9 11 12 13 13 12 11 11 11 12 12 12 12 11 10 6 2 2 6 12 17 21 24 27 30 31 30 27 23 19 15 12 11 10 9 8 8 9 10 10 11 12 12 11 9 8 8 9 10 10 11 11 11 9 8 7 7 7 8 8 9 8 6 5 6 7 7 8 9 10 11 12 12 12 12 12 13 13 14 14 15 16 16 15 14 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 14 14 14 13 12 11 9 9 10 11 11 9 8 8 8 9 9 9 8 8 9 9 9 9 8 6 5 6 nan
nan 9 9 9 8 7 8 10 11 12 11 11 10 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 9 9 9 9 10 9 10 10 10 10 10 10 10 10 10 9 8 8 7 7 8 9 10 12 13 13 12 11 11 11 11 12 11 11 10 8 3 1 4 10 17 21 23 24 26 28 30 30 27 23 18 14 12 10 9 9 8 9 10 11 11 12 12 11 10 9 9 9 9 10 10 11 11 11 11 10 9 9 8 9 9 9 9 7 6 6 6 6 6 7 8 10 10 10 10 10 10 11 11 12 13 15 17 17 16 15 15 15 15 14 13 12 12 12 12 12 12 12 12 11 11 12 12 13 14 15 16 16 15 14 13 12 11 10 10 11 12 11 9 8 8 8 9 9 9 9 9 10 10 10 9 8 6 6 7 nan
nan 9 9 9 8 8 9 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 9 9 8 7 7 8 8 10 11 12 12 12 12 11 11 11 11 11 10 9 6 1 1 7 14 21 24 23 23 23 25 27 28 26 21 17 13 11 10 10 9 9 10 11 12 12 12 11 10 10 9 9 10 10 10 10 10 11 11 11 11 10 10 9 8 7 9 10 10 10 8 6 5 5 5 6 7 9 9 9 9 9 9 10 10 11 13 14 15 15 15 16 16 17 16 15 14 13 13 12 12 12 11 11 11 11 12 13 14 15 15 15 16 15 14 14 13 13 12 11 12 13 12 10 8 8 9 10 10 10 10 11 12 12 10 9 7 6 7 7 nan
nan 9 9 9 9 9 9 10 11 11 10 9 8 8 8 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 9 9 9 9 8 8 7 7 8 9 10 11 12 12 12 11 11 11 10 10 10 8 3 -0 3 9 16 22 23 21 20 20 21 24 25 24 21 17 12 10 9 9 10 11 11 12 12 11 11 10 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 8 5 5 8 11 13 13 11 8 6 5 4 4 5 7 7 7 7 7 8 9 10 10 10 11 12 13 14 15 16 17 18 17 16 15 14 13 12 12 11 11 12 12 13 14 14 14 13 13 15 15 14 14 15 14 13 11 11 12 12 11 10 9 10 11 11 11 12 13 13 11 9 7 6 7 7 8 nan
nan 9 9 9 9 9 10 10 10 10 9 8 8 8 9 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 9 9 9 8 8 8 7 7 7 9 10 11 12 12 12 11 11 10 10 10 9 6 2 0 4 10 17 21 20 18 17 17 17 20 22 22 21 18 14 10 9 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 7 4 5 8 12 14 14 12 10 8 7 5 4 4 5 6 6 7 7 8 9 9 9 8 8 9 10 11 13 14 16 17 18 18 17 16 14 13 12 12 12 12 12 13 13 13 13 13 13 14 15 14 15 17 16 15 14 12 12 12 12 11 10 10 10 11 11 12 12 11 9 7 6 6 7 8 8 nan
nan 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 10 9 8 8 8 9 10 10 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 9 8 8 7 6 7 9 10 11 12 12 12 11 10 10 9 10 9 6 2 0 3 9 15 18 17 16 15 14 15 16 18 20 21 20 16 12 11 11 12 13 13 12 11 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 8 6 5 7 9 11 12 12 11 11 10 9 8 6 5 5 5 6 7 7 8 9 10 9 6 5 5 7 9 11 12 13 15 16 18 19 19 17 15 13 12 12 12 12 13 13 14 14 15 16 16 15 14 16 18 19 19 18 16 13 12 12 11 9 8 9 11 12 12 11 10 8 7 7 7 8 9 9 nan
nan 10 10 10 10 10 10 10 10 10 9 8 9 10 10 10 10 9 8 8 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 8 7 7 7 9 10 11 12 12 11 11 10 9 9 10 9 6 2 -1 2 8 14 15 15 14 14 13 13 14 15 18 20 20 18 15 13 13 14 14 14 13 11 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 7 8 9 10 10 10 10 10 11 11 10 10 9 9 8 7 7 8 8 9 9 10 9 6 4 4 5 7 9 10 11 12 13 15 18 20 19 17 14 13 12 12 12 13 13 14 16 17 17 17 15 14 15 18 20 23 24 20 17 14 11 8 7 8 10 13 14 13 12 10 9 8 8 10 11 12 12 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 10 11 10 10 9 8 8 9 9 9 9 10 10 10 10 10 9 9 10 10 9 9 9 9 8 9 9 9 9 9 8 8 9 9 9 9 9 8 7 8 8 10 11 11 11 11 11 10 10 10 10 9 6 0 -2 1 7 13 15 15 14 14 13 12 12 13 15 18 19 18 17 16 16 16 15 14 13 11 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 10 11 11 11 10 10 10 10 10 10 9 10 10 9 9 9 9 7 6 5 5 6 8 9 10 10 11 12 15 18 18 16 14 12 12 12 12 12 13 14 16 17 17 17 15 14 16 18 21 26 28 25 22 17 11 8 7 10 13 16 15 14 12 11 10 10 11 12 13 14 13 nan
nan 10 10 10 10 9 10 10 10 10 9 9 10 10 11 10 10 9 8 8 9 9 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 9 5 -2 -3 0 6 12 15 15 14 13 13 12 11 12 13 15 16 16 17 17 18 17 15 14 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 11 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 8 7 7 8 9 10 11 11 12 14 15 15 14 13 12 12 12 12 12 12 13 15 16 16 16 15 16 17 18 23 28 30 29 26 21 15 13 13 14 16 16 15 13 12 12 11 12 13 14 13 13 12 nan
nan 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 10 11 11 11 11 10 10 10 10 10 4 -3 -4 -1 5 11 14 14 14 14 13 12 11 11 12 13 14 14 14 16 17 16 14 12 11 11 11 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 7 7 9 12 14 13 11 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 8 9 9 11 12 13 13 14 14 14 13 13 13 13 13 12 12 13 14 14 15 16 17 17 17 18 19 23 26 27 28 27 24 20 19 18 18 17 16 15 14 13 12 12 11 12 11 10 10 9 nan
nan 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 10 11 11 10 10 10 10 8 3 -3 -4 -2 4 11 14 14 14 14 14 13 12 12 12 12 12 11 11 12 12 12 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 8 5 4 7 12 15 16 14 11 10 9 9 9 9 10 10 9 9 9 9 10 10 10 9 9 9 8 10 12 14 16 17 16 15 15 14 14 15 14 14 14 14 15 16 18 19 20 20 21 20 21 22 22 23 24 25 24 22 20 19 18 17 16 15 14 12 11 10 9 8 8 8 8 8 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 9 8 7 7 7 8 8 9 9 10 10 10 10 10 11 10 10 10 7 1 -3 -4 -2 5 11 13 14 14 14 14 15 14 14 14 12 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 9 7 4 2 6 10 14 16 16 14 12 10 9 8 9 9 9 10 10 10 10 10 10 10 10 9 8 6 7 10 14 17 19 18 18 18 17 17 18 17 17 16 17 18 20 21 23 24 25 25 25 25 24 23 21 21 21 20 20 19 18 16 16 15 13 11 9 8 7 6 6 6 7 7 8 nan
nan 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 9 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 11 10 6 1 -3 -3 -0 6 11 13 13 14 14 15 16 17 17 16 13 10 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 9 6 3 3 6 10 14 16 17 16 15 12 9 8 8 8 9 10 10 10 10 10 10 10 10 9 7 6 5 6 10 15 18 19 19 19 20 20 21 20 20 19 19 20 20 21 22 24 26 26 27 28 28 27 25 22 20 18 18 18 17 15 13 12 11 9 7 6 5 5 6 7 7 7 8 nan
nan 9 8 8 8 8 9 10 10 10 9 9 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 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 10 11 11 10 7 2 -2 -4 -0 5 9 12 13 14 14 15 17 18 19 18 14 10 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 7 7 8 8 9 10 11 12 12 11 11 11 11 10 9 5 3 4 7 11 14 15 17 17 17 14 10 8 8 8 9 9 10 10 10 10 10 10 10 10 9 7 5 4 5 9 12 15 16 16 17 18 20 20 19 18 17 16 15 15 15 16 18 20 21 23 25 27 26 25 23 21 20 18 16 14 13 12 11 10 9 8 7 7 7 8 7 7 7 nan
nan 8 8 7 7 7 8 9 9 10 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 9 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 10 11 10 8 4 -1 -4 -2 3 7 10 13 14 14 15 17 20 21 18 14 11 9 9 9 8 7 7 7 7 8 8 8 9 9 9 8 7 7 7 7 8 9 11 13 13 13 12 11 11 10 8 4 3 5 9 14 15 16 17 18 17 14 12 10 9 8 9 9 9 10 10 11 10 10 10 11 10 9 7 5 3 4 5 8 10 10 11 12 14 14 14 13 11 10 9 8 8 9 9 11 12 14 17 20 22 23 23 21 19 16 14 12 12 12 11 11 10 10 9 8 8 7 6 7 7 nan
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nan 11 10 11 12 12 13 13 12 12 11 11 10 10 10 10 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 8 8 7 6 6 7 9 9 8 7 3 -1 -1 1 5 8 10 11 12 14 18 22 24 23 19 13 11 9 9 8 8 9 9 10 10 9 9 8 8 9 9 8 8 6 4 3 2 2 6 10 12 12 12 10 9 9 10 12 14 15 17 18 19 19 17 14 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 13 13 13 12 11 9 7 5 4 3 1 0 -0 0 1 2 3 3 4 4 4 2 0 2 5 8 10 13 14 14 14 13 12 11 10 9 10 10 10 10 10 9 9 9 8 8 nan
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nan 8 8 9 9 9 8 7 7 8 9 10 11 11 11 12 13 13 13 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 10 9 9 9 9 9 8 7 6 6 8 11 14 16 16 14 14 15 17 18 18 17 15 13 13 13 15 15 15 15 14 13 11 11 10 10 11 12 12 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 12 11 10 9 9 8 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 12 13 13 13 12 11 11 12 12 11 10 10 10 10 11 12 12 12 12 12 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 9 9 10 10 11 nan
nan 12 12 11 10 7 5 3 4 5 6 8 9 10 11 11 12 12 11 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 11 11 11 10 10 9 9 9 9 9 8 8 8 9 11 14 16 15 13 12 11 12 13 13 12 10 9 8 9 10 11 11 11 11 12 11 11 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 10 10 9 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 11 10 nan
nan 17 17 16 15 11 7 4 3 3 4 6 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 11 13 14 14 13 11 10 9 9 10 9 8 8 7 8 9 9 10 9 10 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 17 20 21 21 17 11 8 5 4 5 6 7 9 10 10 11 10 10 11 11 11 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 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 10 10 11 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 15 19 23 24 21 16 11 8 7 8 8 8 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 8 7 6 7 8 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 13 13 13 13 12 10 10 10 11 11 12 12 12 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 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 nan
nan 14 17 21 23 21 17 13 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 10 9 7 5 4 4 6 8 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 12 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 10 10 10 10 10 11 11 12 12 11 11 11 12 12 12 12 11 11 11 11 10 11 11 11 11 10 nan
nan 14 16 18 19 19 18 16 13 10 9 9 9 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 9 5 2 1 2 5 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 13 12 12 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 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 14 15 16 17 18 19 19 16 13 10 9 9 10 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 11 10 10 10 11 11 11 11 12 12 12 12 12 12 13 14 16 17 18 15 9 5 0 -2 -0 4 7 9 10 10 11 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 15 14 15 16 17 19 19 17 14 12 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 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 13 15 18 20 21 21 18 12 7 1 -3 -1 3 6 9 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 15 15 14 14 15 16 16 16 15 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 13 15 18 22 24 24 21 16 11 3 -1 -0 2 6 9 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 11 11 11 12 12 13 12 12 12 11 11 11 12 12 12 11 11 10 11 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 11 12 nan
nan 16 15 15 14 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 10 10 11 11 11 12 15 19 23 25 24 20 14 7 2 2 3 6 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 13 13 12 12 11 11 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 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 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 nan
nan 16 16 16 15 15 15 15 15 14 13 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 11 10 10 9 11 15 20 23 24 22 16 9 6 5 6 8 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 12 12 13 12 12 11 11 12 12 12 12 13 12 12 11 11 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 13 13 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 12 nan
nan 16 16 17 16 16 15 15 14 13 13 13 13 13 13 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 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 9 11 14 18 20 19 15 11 9 8 9 10 11 11 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 13 13 12 11 11 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 9 9 9 8 9 9 10 11 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 nan
nan 16 17 17 17 16 15 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 9 8 9 10 12 14 14 13 11 10 10 11 11 11 11 11 11 10 10 10 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 10 9 8 8 9 9 10 11 11 12 12 12 13 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 12 11 11 11 11 10 10 10 10 9 9 10 10 10 11 11 nan
nan 16 17 17 17 17 16 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 8 8 8 9 10 10 11 11 12 13 12 12 12 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 10 10 10 9 9 9 9 10 11 11 nan
nan 16 17 17 17 17 16 15 14 14 14 13 13 13 13 13 13 12 13 13 13 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 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 10 10 11 11 11 12 11 11 11 10 9 9 8 9 9 9 9 10 11 12 12 12 12 11 11 11 12 12 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 10 10 9 9 9 9 10 10 11 nan
nan 15 16 17 17 17 17 16 16 15 14 13 13 13 13 13 13 12 13 13 14 13 13 12 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 10 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 12 12 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 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 11 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 nan
nan 15 16 16 17 17 17 16 16 15 14 13 13 13 12 12 12 12 12 12 13 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 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 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 11 11 12 12 12 12 12 11 10 9 8 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 11 11 10 10 9 10 11 11 12 12 12 nan
nan 14 15 16 16 17 17 16 16 15 14 14 13 13 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 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 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 12 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 11 11 11 12 12 13 12 12 10 9 9 8 9 9 9 9 10 10 10 10 10 10 10 11 12 13 13 12 11 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 nan
nan 14 15 15 16 16 17 16 16 16 15 14 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 10 10 10 9 9 9 9 10 10 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 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 12 11 10 9 9 9 8 9 9 9 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 12 12 12 13 13 13 13 13 12 12 12 nan
nan 13 14 15 16 16 17 17 17 16 15 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 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 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 13 12 12 11 11 11 11 10 11 11 12 13 13 13 12 12 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 14 14 13 13 13 12 12 12 nan
nan 13 14 15 16 16 17 17 17 16 15 14 14 13 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 12 12 12 13 13 12 12 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 11 12 13 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 11 11 12 12 11 nan
nan 13 14 15 16 16 17 17 16 15 15 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 13 13 14 14 13 11 10 9 8 9 9 9 9 9 10 11 12 12 12 13 12 12 12 12 13 13 12 11 11 10 10 10 9 8 8 9 9 10 11 12 13 13 13 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 11 nan
nan 13 14 15 15 16 17 16 16 15 15 15 15 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 12 13 14 14 15 15 14 11 10 9 8 8 8 8 8 9 10 11 12 13 13 13 13 13 14 14 15 15 15 13 12 10 9 8 7 6 7 8 9 10 11 11 12 12 11 11 12 13 13 13 14 13 13 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 11 10 10 10 10 11 nan
nan 13 14 14 15 16 16 16 16 15 15 15 15 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 11 12 13 14 15 15 14 13 12 11 10 9 8 7 7 8 10 11 12 13 14 14 14 14 15 16 18 19 17 15 12 10 8 6 5 5 7 9 11 12 11 10 10 10 10 11 11 12 12 13 13 14 15 15 15 14 13 12 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 13 13 14 15 15 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 11 11 9 9 10 11 12 13 14 14 14 14 14 15 15 13 12 9 7 8 9 10 12 13 13 13 13 14 15 17 19 20 19 15 13 10 8 6 5 6 9 11 12 11 9 8 8 9 10 11 11 11 11 12 13 14 15 15 15 13 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 12 11 11 nan
nan 13 13 13 14 15 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 11 11 11 10 10 11 11 12 12 12 12 12 11 11 10 9 10 10 11 12 12 12 13 14 16 17 17 16 15 13 10 9 8 9 10 11 12 12 12 13 15 17 19 19 17 15 13 11 9 7 6 8 10 11 11 8 7 6 8 10 11 11 11 11 11 11 12 13 14 14 13 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 12 12 nan
nan 13 13 13 14 14 15 16 16 17 17 16 16 16 16 16 16 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 12 12 12 13 15 16 17 17 17 15 13 11 9 8 9 10 11 12 13 15 17 18 18 16 14 13 12 10 9 8 7 9 10 11 9 7 6 7 9 10 11 11 11 11 11 11 12 12 12 11 11 12 12 13 13 12 12 12 12 12 12 12 12 13 13 13 12 12 11 10 11 12 12 13 13 12 12 nan
nan 13 13 13 13 14 14 15 16 17 17 16 16 16 17 17 16 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 12 12 12 12 12 12 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 11 11 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 13 14 14 15 16 16 16 14 13 10 9 9 10 11 13 15 18 19 20 17 14 11 10 9 8 7 7 7 8 10 10 9 8 7 7 8 8 9 10 10 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 12 12 12 12 12 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
26 29 35 41 44 40 32 26 25 27 31 36 41 40 38 38 37 33 24 18 12 6 4 4 3 4 4 3 1 0 0 0 1 3 6 8 9 8 7 7 6 6 6 6 7 8 12 15 13 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 40 74 115 163 221 293 380 447 527 634 765 892 956 845 681 529 396 277 157 65 16 1 0 0 0 0 0 0 1 1 1 1 2 1 1 2 1 1 1 1 1 1 3 7 10 12 11 7 4 2 2 2 3 4 5 5 5 6 7 7 8 10 11 14 21 32 53 90 144 178 194 200 200 196 166 146 134 127 126 107 94 83 73 64 50 31 15 5 2 2 0 0 3 5 5 4 7 15 28 40 48 42 28 21 18 15 11 5 2 4 8 9 9 10 16 25 38 63
20 24 29 39 48 46 38 32 28 28 30 32 33 29 27 29 32 29 24 20 14 7 6 5 5 6 6 5 1 0 0 0 0 1 3 5 6 6 5 6 7 6 5 4 5 9 13 12 8 4 3 3 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 2 25 57 98 149 211 288 366 436 517 616 739 892 1032 947 752 563 407 287 132 36 4 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 1 2 2 4 6 10 14 13 9 4 2 2 2 2 3 4 5 6 6 6 6 8 10 13 15 17 22 31 49 76 107 133 149 160 176 185 190 189 176 155 129 106 90 80 73 54 32 16 9 12 6 2 0 1 2 2 2 7 16 27 36 42 32 24 19 17 13 10 7 5 6 12 16 16 14 13 14 18 31
11 15 22 30 36 38 32 27 25 25 25 22 23 22 20 20 21 19 16 14 11 7 7 7 6 6 5 4 3 0 0 0 1 1 1 2 2 2 3 5 6 5 5 5 6 10 12 10 6 3 5 7 7 5 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 14 41 82 138 205 288 362 433 508 595 702 871 1043 1016 816 553 339 235 104 22 2 0 0 0 0 0 0 0 0 1 1 2 1 1 1 2 3 3 3 2 2 2 4 9 15 16 14 11 8 6 4 2 2 2 3 4 6 6 6 6 8 11 14 17 19 22 28 38 52 71 89 98 105 124 150 181 209 209 189 158 126 98 88 79 57 34 18 12 11 6 2 0 0 0 1 4 10 19 25 29 31 27 22 17 13 5 2 1 1 5 9 15 17 17 16 12 6 11
1 5 12 19 26 30 28 26 24 22 20 19 19 18 18 18 19 17 14 12 10 8 7 7 6 6 5 4 1 0 0 0 0 0 0 0 1 2 4 6 7 8 9 10 11 11 11 11 10 9 10 13 14 12 6 0 0 1 1 1 1 1 0 0 0 0 0 0 1 7 26 66 128 204 287 363 432 499 572 670 825 986 1032 904 602 263 146 68 17 2 2 0 0 0 0 0 1 1 1 1 2 1 1 1 2 5 7 6 5 4 7 12 17 20 22 21 17 13 9 5 2 1 2 3 2 3 5 6 7 9 12 15 18 20 22 26 34 45 58 70 78 86 98 118 146 177 188 189 176 148 111 96 79 58 35 16 11 6 2 0 0 0 0 1 4 9 16 19 22 23 23 19 13 11 8 5 3 0 2 3 7 11 15 18 15 8 6
0 1 9 19 27 29 25 20 17 15 10 9 11 14 16 17 19 17 14 11 9 7 6 6 7 6 4 4 2 0 0 1 1 1 1 2 3 5 7 9 10 12 13 13 13 12 12 15 16 17 18 21 20 17 9 0 0 1 1 1 1 1 0 0 0 0 0 0 0 2 16 52 115 196 283 363 431 489 548 644 778 906 956 839 470 218 96 37 9 2 3 1 0 0 1 1 2 2 2 1 2 2 2 3 4 5 7 6 7 10 19 33 30 30 30 28 24 19 15 10 6 3 2 6 3 3 4 5 8 12 14 17 20 21 23 25 28 37 51 66 79 91 99 107 121 134 144 156 164 157 126 101 79 58 35 12 5 2 0 0 1 2 3 2 2 6 13 13 16 20 21 17 12 12 12 9 5 2 2 1 2 4 6 11 10 6 3
0 1 8 18 23 22 13 11 13 12 10 7 8 10 12 14 18 16 13 11 9 7 6 6 6 6 4 3 1 0 1 2 3 3 3 4 5 6 7 9 10 11 12 12 13 14 14 16 19 24 27 27 24 19 11 2 1 2 2 2 1 0 0 0 0 0 0 1 0 0 11 43 102 185 275 360 427 477 526 613 731 851 895 770 441 224 92 30 11 0 2 1 1 1 1 1 3 3 3 4 6 7 8 9 9 9 10 11 13 17 25 32 32 35 37 38 36 36 32 25 19 12 5 7 6 5 4 4 6 11 15 19 22 26 27 28 30 36 48 64 81 95 101 100 102 105 112 127 142 143 126 99 76 55 35 15 6 1 0 0 2 4 3 1 0 1 7 11 15 18 19 16 15 15 13 10 7 6 3 2 1 1 1 3 3 2 1
0 1 7 15 19 17 9 11 12 12 11 9 6 3 4 8 13 14 13 12 9 7 7 7 5 5 4 2 0 0 1 2 3 4 4 4 5 5 6 7 9 11 12 14 15 15 15 16 18 22 26 28 24 18 12 5 2 3 3 2 1 0 0 0 0 1 1 2 1 1 9 36 91 182 281 367 431 475 515 580 681 813 891 766 505 266 105 31 17 3 1 1 1 0 1 2 3 3 4 5 7 9 10 12 13 13 14 15 14 15 23 29 36 42 46 48 49 50 48 42 34 24 12 6 4 4 3 2 4 9 13 17 23 31 32 33 36 40 46 61 79 93 101 100 98 101 106 114 124 129 122 102 79 59 37 23 11 4 1 1 1 1 1 0 0 0 4 8 13 17 18 15 14 14 15 14 12 10 7 4 0 0 1 1 1 1 1
0 1 6 13 18 17 12 13 13 11 9 9 8 3 3 7 11 13 14 12 9 6 6 7 6 4 3 1 0 0 1 1 2 3 4 5 6 6 6 8 9 11 13 15 15 15 16 16 16 18 19 24 22 18 14 8 5 6 5 3 1 0 0 0 0 1 1 4 5 4 9 29 82 176 278 368 437 483 516 559 640 759 856 774 530 282 108 29 16 5 1 1 1 1 1 2 3 4 4 5 6 6 7 9 13 16 18 15 14 20 25 33 40 44 47 52 55 55 52 45 37 32 21 12 5 2 3 2 5 9 14 16 20 31 39 43 46 50 52 64 79 93 103 109 113 119 121 119 120 122 120 111 95 80 68 46 22 9 5 2 0 0 0 0 0 0 2 5 10 19 20 18 16 17 19 15 15 15 14 9 2 0 1 1 1 2 2
0 2 5 10 13 10 9 12 13 11 9 12 12 9 7 8 9 10 12 9 5 2 3 4 3 2 2 1 1 1 0 1 2 3 5 6 8 9 9 9 11 12 13 14 15 16 17 17 18 18 18 22 22 21 17 11 7 6 6 4 2 1 0 0 0 1 2 5 8 10 14 26 82 177 278 370 444 495 526 556 622 720 815 770 560 314 123 35 12 4 1 1 1 2 2 3 4 5 5 5 6 7 10 14 19 21 22 20 19 20 26 37 46 51 51 54 56 54 50 45 38 34 27 19 11 5 5 3 4 7 10 12 12 19 28 38 53 68 71 78 88 99 110 122 131 134 132 128 124 125 126 122 108 90 76 49 26 14 6 2 0 0 0 0 0 0 0 2 4 13 18 19 15 11 8 11 14 15 14 6 3 4 5 5 2 2 2
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